Riemann Zeta Zeros.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using SpecialFunctions, Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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       "  288.214,1195.45 288.756,1195.21 289.298,1194.97 289.84,1194.72 290.383,1194.48 290.925,1194.23 291.467,1193.97 292.01,1193.72 292.552,1193.46 293.094,1193.2 \n",
       "  293.637,1192.93 294.179,1192.66 294.721,1192.39 295.263,1192.12 295.806,1191.84 296.348,1191.56 296.89,1191.28 297.433,1190.99 297.975,1190.7 298.517,1190.41 \n",
       "  299.06,1190.12 299.602,1189.82 300.144,1189.52 300.686,1189.22 301.229,1188.91 301.771,1188.61 302.313,1188.29 302.856,1187.98 303.398,1187.66 303.94,1187.34 \n",
       "  304.483,1187.02 305.025,1186.7 305.567,1186.37 306.109,1186.04 306.652,1185.71 307.194,1185.37 307.736,1185.03 308.279,1184.69 308.821,1184.35 309.363,1184 \n",
       "  309.906,1183.65 310.448,1183.3 310.99,1182.95 311.532,1182.59 312.075,1182.23 312.617,1181.87 313.159,1181.5 313.702,1181.13 314.244,1180.77 314.786,1180.39 \n",
       "  315.329,1180.02 315.871,1179.64 316.413,1179.26 316.956,1178.88 317.498,1178.49 318.04,1178.11 318.582,1177.71 319.125,1177.32 319.667,1176.93 320.209,1176.53 \n",
       "  320.752,1176.13 321.294,1175.73 321.836,1175.32 322.379,1174.91 322.921,1174.5 323.463,1174.09 324.005,1173.68 324.548,1173.26 325.09,1172.84 325.632,1172.42 \n",
       "  326.175,1171.99 326.717,1171.57 327.259,1171.14 327.802,1170.71 328.344,1170.27 328.886,1169.84 329.428,1169.4 329.971,1168.96 330.513,1168.51 331.055,1168.07 \n",
       "  331.598,1167.62 332.14,1167.17 332.682,1166.72 333.225,1166.26 333.767,1165.8 334.309,1165.34 334.851,1164.88 335.394,1164.42 335.936,1163.95 336.478,1163.48 \n",
       "  337.021,1163.01 337.563,1162.54 338.105,1162.06 338.648,1161.58 339.19,1161.1 339.732,1160.62 340.274,1160.14 340.817,1159.65 341.359,1159.16 341.901,1158.67 \n",
       "  342.444,1158.18 342.986,1157.68 343.528,1157.18 344.071,1156.68 344.613,1156.18 345.155,1155.67 345.698,1155.17 346.24,1154.66 346.782,1154.15 347.324,1153.63 \n",
       "  347.867,1153.12 348.409,1152.6 348.951,1152.08 349.494,1151.56 350.036,1151.03 350.578,1150.51 351.121,1149.98 351.663,1149.45 352.205,1148.91 352.747,1148.38 \n",
       "  353.29,1147.84 353.832,1147.3 354.374,1146.76 354.917,1146.22 355.459,1145.67 356.001,1145.12 356.544,1144.57 357.086,1144.02 357.628,1143.47 358.17,1142.91 \n",
       "  358.713,1142.35 359.255,1141.79 359.797,1141.23 360.34,1140.66 360.882,1140.1 361.424,1139.53 361.967,1138.96 362.509,1138.38 363.051,1137.81 363.593,1137.23 \n",
       "  364.136,1136.65 364.678,1136.07 365.22,1135.49 365.763,1134.9 366.305,1134.32 366.847,1133.73 367.39,1133.14 367.932,1132.54 368.474,1131.95 369.016,1131.35 \n",
       "  369.559,1130.75 370.101,1130.15 370.643,1129.55 371.186,1128.94 371.728,1128.33 372.27,1127.72 372.813,1127.11 373.355,1126.5 373.897,1125.88 374.439,1125.27 \n",
       "  374.982,1124.65 375.524,1124.03 376.066,1123.4 376.609,1122.78 377.151,1122.15 377.693,1121.52 378.236,1120.89 378.778,1120.26 379.32,1119.63 379.863,1118.99 \n",
       "  380.405,1118.35 380.947,1117.71 381.489,1117.07 382.032,1116.42 382.574,1115.78 383.116,1115.13 383.659,1114.48 384.201,1113.83 384.743,1113.17 385.286,1112.52 \n",
       "  385.828,1111.86 386.37,1111.2 386.912,1110.54 387.455,1109.87 387.997,1109.21 388.539,1108.54 389.082,1107.87 389.624,1107.2 390.166,1106.53 390.709,1105.86 \n",
       "  391.251,1105.18 391.793,1104.5 392.335,1103.82 392.878,1103.14 393.42,1102.46 393.962,1101.77 394.505,1101.08 395.047,1100.4 395.589,1099.7 396.132,1099.01 \n",
       "  396.674,1098.32 397.216,1097.62 397.758,1096.92 398.301,1096.22 398.843,1095.52 399.385,1094.82 399.928,1094.11 400.47,1093.41 401.012,1092.7 401.555,1091.99 \n",
       "  402.097,1091.28 402.639,1090.56 403.181,1089.85 403.724,1089.13 404.266,1088.41 404.808,1087.69 405.351,1086.97 405.893,1086.24 406.435,1085.52 406.978,1084.79 \n",
       "  407.52,1084.06 408.062,1083.33 408.604,1082.6 409.147,1081.86 409.689,1081.13 410.231,1080.39 410.774,1079.65 411.316,1078.91 411.858,1078.16 412.401,1077.42 \n",
       "  412.943,1076.67 413.485,1075.93 414.028,1075.18 414.57,1074.42 415.112,1073.67 415.654,1072.92 416.197,1072.16 416.739,1071.4 417.281,1070.64 417.824,1069.88 \n",
       "  418.366,1069.12 418.908,1068.36 419.451,1067.59 419.993,1066.82 420.535,1066.06 421.077,1065.29 421.62,1064.51 422.162,1063.74 422.704,1062.96 423.247,1062.19 \n",
       "  423.789,1061.41 424.331,1060.63 424.874,1059.85 425.416,1059.07 425.958,1058.28 426.5,1057.5 427.043,1056.71 427.585,1055.92 428.127,1055.13 428.67,1054.34 \n",
       "  429.212,1053.54 429.754,1052.75 430.297,1051.95 430.839,1051.16 431.381,1050.36 431.923,1049.56 432.466,1048.75 433.008,1047.95 433.55,1047.14 434.093,1046.34 \n",
       "  434.635,1045.53 435.177,1044.72 435.72,1043.91 436.262,1043.1 436.804,1042.28 437.346,1041.47 437.889,1040.65 438.431,1039.84 438.973,1039.02 439.516,1038.2 \n",
       "  440.058,1037.37 440.6,1036.55 441.143,1035.73 441.685,1034.9 442.227,1034.07 442.769,1033.24 443.312,1032.42 443.854,1031.58 444.396,1030.75 444.939,1029.92 \n",
       "  445.481,1029.08 446.023,1028.25 446.566,1027.41 447.108,1026.57 447.65,1025.73 448.193,1024.89 448.735,1024.05 449.277,1023.2 449.819,1022.36 450.362,1021.51 \n",
       "  450.904,1020.66 451.446,1019.81 451.989,1018.96 452.531,1018.11 453.073,1017.26 453.616,1016.41 454.158,1015.55 454.7,1014.7 455.242,1013.84 455.785,1012.98 \n",
       "  456.327,1012.12 456.869,1011.26 457.412,1010.4 457.954,1009.54 458.496,1008.67 459.039,1007.81 459.581,1006.94 460.123,1006.08 460.665,1005.21 461.208,1004.34 \n",
       "  461.75,1003.47 462.292,1002.6 462.835,1001.73 463.377,1000.85 463.919,999.978 464.462,999.102 465.004,998.226 465.546,997.349 466.088,996.47 466.631,995.591 \n",
       "  467.173,994.711 467.715,993.829 468.258,992.947 468.8,992.064 469.342,991.18 469.885,990.295 470.427,989.409 470.969,988.523 471.511,987.635 472.054,986.747 \n",
       "  472.596,985.857 473.138,984.967 473.681,984.076 474.223,983.184 474.765,982.291 475.308,981.398 475.85,980.503 476.392,979.608 476.935,978.712 477.477,977.815 \n",
       "  478.019,976.918 478.561,976.02 479.104,975.121 479.646,974.221 480.188,973.32 480.731,972.419 481.273,971.517 481.815,970.615 482.358,969.711 482.9,968.807 \n",
       "  483.442,967.903 483.984,966.997 484.527,966.091 485.069,965.185 485.611,964.278 486.154,963.37 486.696,962.462 487.238,961.553 487.781,960.643 488.323,959.733 \n",
       "  488.865,958.822 489.407,957.911 489.95,956.999 490.492,956.087 491.034,955.174 491.577,954.261 492.119,953.347 492.661,952.433 493.204,951.518 493.746,950.603 \n",
       "  494.288,949.688 494.83,948.772 495.373,947.855 495.915,946.939 496.457,946.021 497,945.104 497.542,944.186 498.084,943.268 498.627,942.349 499.169,941.43 \n",
       "  499.711,940.511 500.253,939.592 500.796,938.672 501.338,937.752 501.88,936.831 502.423,935.911 502.965,934.99 503.507,934.069 504.05,933.148 504.592,932.226 \n",
       "  505.134,931.305 505.676,930.383 506.219,929.461 506.761,928.539 507.303,927.617 507.846,926.694 508.388,925.772 508.93,924.849 509.473,923.927 510.015,923.004 \n",
       "  510.557,922.081 511.1,921.159 511.642,920.236 512.184,919.313 512.726,918.391 513.269,917.468 513.811,916.545 514.353,915.623 514.896,914.7 515.438,913.778 \n",
       "  515.98,912.855 516.523,911.933 517.065,911.011 517.607,910.089 518.149,909.167 518.692,908.246 519.234,907.324 519.776,906.403 520.319,905.482 520.861,904.561 \n",
       "  521.403,903.641 521.946,902.72 522.488,901.8 523.03,900.881 523.572,899.961 524.115,899.042 524.657,898.124 525.199,897.205 525.742,896.287 526.284,895.37 \n",
       "  526.826,894.453 527.369,893.536 527.911,892.62 528.453,891.704 528.995,890.788 529.538,889.873 530.08,888.959 530.622,888.045 531.165,887.132 531.707,886.219 \n",
       "  532.249,885.307 532.792,884.395 533.334,883.484 533.876,882.574 534.418,881.664 534.961,880.755 535.503,879.846 536.045,878.939 536.588,878.032 537.13,877.125 \n",
       "  537.672,876.22 538.215,875.315 538.757,874.411 539.299,873.507 539.841,872.605 540.384,871.703 540.926,870.803 541.468,869.903 542.011,869.004 542.553,868.105 \n",
       "  543.095,867.208 543.638,866.312 544.18,865.417 544.722,864.522 545.265,863.629 545.807,862.737 546.349,861.845 546.891,860.955 547.434,860.066 547.976,859.178 \n",
       "  548.518,858.29 549.061,857.405 549.603,856.52 550.145,855.636 550.688,854.754 551.23,853.872 551.772,852.992 552.314,852.114 552.857,851.236 553.399,850.36 \n",
       "  553.941,849.485 554.484,848.611 555.026,847.739 555.568,846.868 556.111,845.998 556.653,845.13 557.195,844.263 557.737,843.398 558.28,842.534 558.822,841.672 \n",
       "  559.364,840.811 559.907,839.951 560.449,839.093 560.991,838.237 561.534,837.382 562.076,836.529 562.618,835.677 563.16,834.827 563.703,833.979 564.245,833.132 \n",
       "  564.787,832.287 565.33,831.444 565.872,830.603 566.414,829.763 566.957,828.925 567.499,828.089 568.041,827.255 568.583,826.422 569.126,825.592 569.668,824.763 \n",
       "  570.21,823.936 570.753,823.111 571.295,822.288 571.837,821.467 572.38,820.648 572.922,819.831 573.464,819.016 574.006,818.204 574.549,817.393 575.091,816.584 \n",
       "  575.633,815.778 576.176,814.973 576.718,814.171 577.26,813.371 577.803,812.573 578.345,811.778 578.887,810.984 579.43,810.193 579.972,809.405 580.514,808.618 \n",
       "  581.056,807.834 581.599,807.052 582.141,806.273 582.683,805.496 583.226,804.722 583.768,803.95 584.31,803.18 584.853,802.414 585.395,801.649 585.937,800.887 \n",
       "  586.479,800.128 587.022,799.371 587.564,798.617 588.106,797.866 588.649,797.117 589.191,796.371 589.733,795.628 590.276,794.887 590.818,794.15 591.36,793.415 \n",
       "  591.902,792.682 592.445,791.953 592.987,791.227 593.529,790.503 594.072,789.782 594.614,789.065 595.156,788.35 595.699,787.638 596.241,786.93 596.783,786.224 \n",
       "  597.325,785.521 597.868,784.822 598.41,784.125 598.952,783.432 599.495,782.742 600.037,782.055 600.579,781.371 601.122,780.69 601.664,780.013 602.206,779.339 \n",
       "  602.748,778.669 603.291,778.001 603.833,777.337 604.375,776.677 604.918,776.02 605.46,775.366 606.002,774.716 606.545,774.069 607.087,773.425 607.629,772.786 \n",
       "  608.171,772.15 608.714,771.517 609.256,770.888 609.798,770.263 610.341,769.641 610.883,769.023 611.425,768.409 611.968,767.798 612.51,767.192 613.052,766.589 \n",
       "  613.595,765.99 614.137,765.394 614.679,764.803 615.221,764.215 615.764,763.632 616.306,763.052 616.848,762.477 617.391,761.905 617.933,761.337 618.475,760.774 \n",
       "  619.018,760.214 619.56,759.659 620.102,759.108 620.644,758.561 621.187,758.018 621.729,757.479 622.271,756.945 622.814,756.415 623.356,755.889 623.898,755.368 \n",
       "  624.441,754.851 624.983,754.338 625.525,753.83 626.067,753.326 626.61,752.826 627.152,752.331 627.694,751.841 628.237,751.355 628.779,750.874 629.321,750.397 \n",
       "  629.864,749.925 630.406,749.457 630.948,748.995 631.49,748.537 632.033,748.083 632.575,747.635 633.117,747.191 633.66,746.752 634.202,746.318 634.744,745.889 \n",
       "  635.287,745.464 635.829,745.045 636.371,744.631 636.913,744.221 637.456,743.817 637.998,743.417 638.54,743.023 639.083,742.634 639.625,742.249 640.167,741.87 \n",
       "  640.71,741.497 641.252,741.128 641.794,740.765 642.337,740.407 642.879,740.054 643.421,739.706 643.963,739.364 644.506,739.027 645.048,738.696 645.59,738.37 \n",
       "  646.133,738.049 646.675,737.734 647.217,737.425 647.76,737.121 648.302,736.822 648.844,736.53 649.386,736.242 649.929,735.961 650.471,735.685 651.013,735.415 \n",
       "  651.556,735.15 652.098,734.892 652.64,734.639 653.183,734.392 653.725,734.151 654.267,733.915 654.809,733.686 655.352,733.463 655.894,733.245 656.436,733.034 \n",
       "  656.979,732.828 657.521,732.629 658.063,732.435 658.606,732.248 659.148,732.067 659.69,731.892 660.232,731.723 660.775,731.561 661.317,731.404 661.859,731.254 \n",
       "  662.402,731.111 662.944,730.973 663.486,730.842 664.029,730.717 664.571,730.599 665.113,730.487 665.655,730.382 666.198,730.283 666.74,730.191 667.282,730.105 \n",
       "  667.825,730.026 668.367,729.953 668.909,729.888 669.452,729.828 669.994,729.776 670.536,729.73 671.078,729.691 671.621,729.659 672.163,729.633 672.705,729.614 \n",
       "  673.248,729.603 673.79,729.598 674.332,729.6 674.875,729.609 675.417,729.625 675.959,729.648 676.502,729.678 677.044,729.715 677.586,729.759 678.128,729.81 \n",
       "  678.671,729.868 679.213,729.934 679.755,730.007 680.298,730.087 680.84,730.174 681.382,730.269 681.925,730.37 682.467,730.48 683.009,730.596 683.551,730.72 \n",
       "  684.094,730.851 684.636,730.99 685.178,731.137 685.721,731.29 686.263,731.452 686.805,731.62 687.348,731.797 687.89,731.981 688.432,732.173 688.974,732.372 \n",
       "  689.517,732.579 690.059,732.794 690.601,733.016 691.144,733.247 691.686,733.485 692.228,733.731 692.771,733.985 693.313,734.246 693.855,734.516 694.397,734.793 \n",
       "  694.94,735.079 695.482,735.372 696.024,735.674 696.567,735.983 697.109,736.301 697.651,736.626 698.194,736.96 698.736,737.302 699.278,737.652 699.82,738.01 \n",
       "  700.363,738.377 700.905,738.752 701.447,739.135 701.99,739.526 702.532,739.926 703.074,740.334 703.617,740.75 704.159,741.175 704.701,741.608 705.243,742.05 \n",
       "  705.786,742.5 706.328,742.959 706.87,743.426 707.413,743.902 707.955,744.386 708.497,744.879 709.04,745.381 709.582,745.891 710.124,746.41 710.667,746.937 \n",
       "  711.209,747.474 711.751,748.019 712.293,748.573 712.836,749.135 713.378,749.707 713.92,750.287 714.463,750.876 715.005,751.475 715.547,752.082 716.09,752.698 \n",
       "  716.632,753.323 717.174,753.957 717.716,754.6 718.259,755.252 718.801,755.913 719.343,756.583 719.886,757.262 720.428,757.95 720.97,758.648 721.513,759.355 \n",
       "  722.055,760.071 722.597,760.796 723.139,761.53 723.682,762.274 724.224,763.027 724.766,763.789 725.309,764.561 725.851,765.342 726.393,766.132 726.936,766.932 \n",
       "  727.478,767.741 728.02,768.56 728.562,769.388 729.105,770.225 729.647,771.072 730.189,771.929 730.732,772.795 731.274,773.671 731.816,774.556 732.359,775.451 \n",
       "  732.901,776.355 733.443,777.27 733.985,778.194 734.528,779.127 735.07,780.07 735.612,781.023 736.155,781.986 736.697,782.959 737.239,783.941 737.782,784.933 \n",
       "  738.324,785.935 738.866,786.947 739.408,787.968 739.951,789 740.493,790.041 741.035,791.093 741.578,792.154 742.12,793.225 742.662,794.306 743.205,795.398 \n",
       "  743.747,796.499 744.289,797.61 744.832,798.731 745.374,799.863 745.916,801.004 746.458,802.156 747.001,803.317 747.543,804.489 748.085,805.671 748.628,806.863 \n",
       "  749.17,808.065 749.712,809.277 750.255,810.5 750.797,811.733 751.339,812.976 751.881,814.229 752.424,815.493 752.966,816.767 753.508,818.051 754.051,819.346 \n",
       "  754.593,820.65 755.135,821.966 755.678,823.291 756.22,824.627 756.762,825.973 757.304,827.33 757.847,828.697 758.389,830.075 758.931,831.463 759.474,832.861 \n",
       "  760.016,834.27 760.558,835.689 761.101,837.119 761.643,838.559 762.185,840.01 762.727,841.472 763.27,842.943 763.812,844.426 764.354,845.919 764.897,847.422 \n",
       "  765.439,848.936 765.981,850.461 766.524,851.996 767.066,853.542 767.608,855.099 768.15,856.666 768.693,858.244 769.235,859.832 769.777,861.431 770.32,863.041 \n",
       "  770.862,864.662 771.404,866.293 771.947,867.934 772.489,869.587 773.031,871.25 773.574,872.924 774.116,874.609 774.658,876.304 775.2,878.01 775.743,879.727 \n",
       "  776.285,881.454 776.827,883.193 777.37,884.942 777.912,886.702 778.454,888.472 778.997,890.254 779.539,892.046 780.081,893.849 780.623,895.662 781.166,897.487 \n",
       "  781.708,899.322 782.25,901.168 782.793,903.025 783.335,904.893 783.877,906.772 784.42,908.661 784.962,910.561 785.504,912.472 786.046,914.394 786.589,916.327 \n",
       "  787.131,918.27 787.673,920.224 788.216,922.19 788.758,924.166 789.3,926.152 789.843,928.15 790.385,930.159 790.927,932.178 791.469,934.208 792.012,936.249 \n",
       "  792.554,938.301 793.096,940.363 793.639,942.437 794.181,944.521 794.723,946.616 795.266,948.722 795.808,950.839 796.35,952.967 796.892,955.105 797.435,957.254 \n",
       "  797.977,959.414 798.519,961.585 799.062,963.767 799.604,965.959 800.146,968.162 800.689,970.376 801.231,972.601 801.773,974.837 802.315,977.083 802.858,979.34 \n",
       "  803.4,981.608 803.942,983.887 804.485,986.176 805.027,988.476 805.569,990.787 806.112,993.109 806.654,995.441 807.196,997.784 807.739,1000.14 808.281,1002.5 \n",
       "  808.823,1004.88 809.365,1007.26 809.908,1009.66 810.45,1012.07 810.992,1014.48 811.535,1016.91 812.077,1019.35 812.619,1021.8 813.162,1024.26 813.704,1026.73 \n",
       "  814.246,1029.21 814.788,1031.71 815.331,1034.21 815.873,1036.72 816.415,1039.25 816.958,1041.78 817.5,1044.32 818.042,1046.88 818.585,1049.45 819.127,1052.02 \n",
       "  819.669,1054.61 820.211,1057.21 820.754,1059.81 821.296,1062.43 821.838,1065.06 822.381,1067.7 822.923,1070.35 823.465,1073.01 824.008,1075.68 824.55,1078.36 \n",
       "  825.092,1081.05 825.634,1083.75 826.177,1086.46 826.719,1089.18 827.261,1091.91 827.804,1094.65 828.346,1097.4 828.888,1100.16 829.431,1102.94 829.973,1105.72 \n",
       "  830.515,1108.51 831.057,1111.31 831.6,1114.12 832.142,1116.95 832.684,1119.78 833.227,1122.62 833.769,1125.47 834.311,1128.33 834.854,1131.21 835.396,1134.09 \n",
       "  835.938,1136.98 836.48,1139.88 837.023,1142.79 837.565,1145.71 838.107,1148.64 838.65,1151.59 839.192,1154.54 839.734,1157.5 840.277,1160.47 840.819,1163.44 \n",
       "  841.361,1166.43 841.904,1169.43 842.446,1172.44 842.988,1175.46 843.53,1178.48 844.073,1181.52 844.615,1184.57 845.157,1187.62 845.7,1190.69 846.242,1193.76 \n",
       "  846.784,1196.84 847.327,1199.94 847.869,1203.04 848.411,1206.15 848.953,1209.27 849.496,1212.4 850.038,1215.54 850.58,1218.69 851.123,1221.84 851.665,1225.01 \n",
       "  852.207,1228.18 852.75,1231.37 853.292,1234.56 853.834,1237.76 854.376,1240.97 854.919,1244.19 855.461,1247.42 856.003,1250.65 856.546,1253.9 857.088,1257.15 \n",
       "  857.63,1260.41 858.173,1263.69 858.715,1266.97 859.257,1270.25 859.799,1273.55 860.342,1276.86 860.884,1280.17 861.426,1283.49 861.969,1286.82 862.511,1290.16 \n",
       "  863.053,1293.5 863.596,1296.86 864.138,1300.22 864.68,1303.59 865.222,1306.97 865.765,1310.36 866.307,1313.75 866.849,1317.16 867.392,1320.57 867.934,1323.99 \n",
       "  868.476,1327.41 869.019,1330.85 869.561,1334.29 870.103,1337.74 870.645,1341.19 871.188,1344.66 871.73,1348.13 872.272,1351.61 872.815,1355.1 873.357,1358.59 \n",
       "  873.899,1362.09 874.442,1365.6 874.984,1369.12 875.526,1372.64 876.069,1376.17 876.611,1379.71 877.153,1383.25 877.695,1386.8 878.238,1390.36 878.78,1393.93 \n",
       "  879.322,1397.5 879.865,1401.08 880.407,1404.66 880.949,1408.25 881.492,1411.85 882.034,1415.46 882.576,1419.07 883.118,1422.69 883.661,1426.31 884.203,1429.94 \n",
       "  884.745,1433.58 885.288,1437.22 885.83,1440.87 886.372,1444.53 886.915,1444.33 887.457,1440.66 887.999,1436.99 888.541,1433.31 889.084,1429.62 889.626,1425.93 \n",
       "  890.168,1422.23 890.711,1418.53 891.253,1414.82 891.795,1411.11 892.338,1407.39 892.88,1403.67 893.422,1399.94 893.964,1396.2 894.507,1392.46 895.049,1388.72 \n",
       "  895.591,1384.97 896.134,1381.21 896.676,1377.45 897.218,1373.69 897.761,1369.92 898.303,1366.14 898.845,1362.36 899.387,1358.58 899.93,1354.79 900.472,1351 \n",
       "  901.014,1347.2 901.557,1343.4 902.099,1339.59 902.641,1335.78 903.184,1331.97 903.726,1328.15 904.268,1324.32 904.811,1320.5 905.353,1316.67 905.895,1312.83 \n",
       "  906.437,1308.99 906.98,1305.15 907.522,1301.31 908.064,1297.46 908.607,1293.6 909.149,1289.75 909.691,1285.89 910.234,1282.03 910.776,1278.16 911.318,1274.29 \n",
       "  911.86,1270.42 912.403,1266.55 912.945,1262.67 913.487,1258.79 914.03,1254.9 914.572,1251.02 915.114,1247.13 915.657,1243.24 916.199,1239.34 916.741,1235.45 \n",
       "  917.283,1231.55 917.826,1227.65 918.368,1223.75 918.91,1219.84 919.453,1215.93 919.995,1212.03 920.537,1208.11 921.08,1204.2 921.622,1200.29 922.164,1196.37 \n",
       "  922.706,1192.46 923.249,1188.54 923.791,1184.62 924.333,1180.7 924.876,1176.77 925.418,1172.85 925.96,1168.92 926.503,1165 927.045,1161.07 927.587,1157.15 \n",
       "  928.129,1153.22 928.672,1149.29 929.214,1145.36 929.756,1141.43 930.299,1137.5 930.841,1133.57 931.383,1129.64 931.926,1125.71 932.468,1121.78 933.01,1117.85 \n",
       "  933.552,1113.91 934.095,1109.98 934.637,1106.05 935.179,1102.12 935.722,1098.19 936.264,1094.27 936.806,1090.34 937.349,1086.41 937.891,1082.48 938.433,1078.56 \n",
       "  938.976,1074.63 939.518,1070.71 940.06,1066.79 940.602,1062.86 941.145,1058.94 941.687,1055.03 942.229,1051.11 942.772,1047.19 943.314,1043.28 943.856,1039.37 \n",
       "  944.399,1035.46 944.941,1031.55 945.483,1027.64 946.025,1023.74 946.568,1019.83 947.11,1015.93 947.652,1012.04 948.195,1008.14 948.737,1004.25 949.279,1000.36 \n",
       "  949.822,996.474 950.364,992.59 950.906,988.709 951.448,984.831 951.991,980.956 952.533,977.084 953.075,973.216 953.618,969.351 954.16,965.49 954.702,961.632 \n",
       "  955.245,957.778 955.787,953.928 956.329,950.082 956.871,946.239 957.414,942.401 957.956,938.567 958.498,934.737 959.041,930.911 959.583,927.09 960.125,923.274 \n",
       "  960.668,919.462 961.21,915.655 961.752,911.852 962.294,908.055 962.837,904.263 963.379,900.475 963.921,896.693 964.464,892.917 965.006,889.146 965.548,885.38 \n",
       "  966.091,881.62 966.633,877.865 967.175,874.117 967.717,870.374 968.26,866.637 968.802,862.907 969.344,859.183 969.887,855.464 970.429,851.753 970.971,848.048 \n",
       "  971.514,844.349 972.056,840.657 972.598,836.972 973.141,833.294 973.683,829.623 974.225,825.959 974.767,822.302 975.31,818.652 975.852,815.01 976.394,811.375 \n",
       "  976.937,807.748 977.479,804.128 978.021,800.517 978.564,796.913 979.106,793.317 979.648,789.729 980.19,786.15 980.733,782.579 981.275,779.016 981.817,775.461 \n",
       "  982.36,771.916 982.902,768.379 983.444,764.85 983.987,761.331 984.529,757.82 985.071,754.319 985.613,750.827 986.156,747.344 986.698,743.871 987.24,740.407 \n",
       "  987.783,736.952 988.325,733.508 988.867,730.073 989.41,726.648 989.952,723.233 990.494,719.828 991.036,716.434 991.579,713.049 992.121,709.675 992.663,706.312 \n",
       "  993.206,702.959 993.748,699.617 994.29,696.286 994.833,692.965 995.375,689.656 995.917,686.358 996.459,683.071 997.002,679.795 997.544,676.531 998.086,673.278 \n",
       "  998.629,670.037 999.171,666.807 999.713,663.59 1000.26,660.384 1000.8,657.19 1001.34,654.009 1001.88,650.839 1002.42,647.682 1002.97,644.537 1003.51,641.405 \n",
       "  1004.05,638.286 1004.59,635.179 1005.14,632.085 1005.68,629.004 1006.22,625.936 1006.76,622.881 1007.31,619.84 1007.85,616.811 1008.39,613.796 1008.93,610.795 \n",
       "  1009.47,607.807 1010.02,604.833 1010.56,601.873 1011.1,598.927 1011.64,595.994 1012.19,593.076 1012.73,590.172 1013.27,587.283 1013.81,584.407 1014.36,581.547 \n",
       "  1014.9,578.7 1015.44,575.869 1015.98,573.052 1016.52,570.251 1017.07,567.464 1017.61,564.692 1018.15,561.936 1018.69,559.195 1019.24,556.469 1019.78,553.759 \n",
       "  1020.32,551.064 1020.86,548.385 1021.41,545.722 1021.95,543.074 1022.49,540.443 1023.03,537.827 1023.57,535.228 1024.12,532.645 1024.66,530.078 1025.2,527.528 \n",
       "  1025.74,524.995 1026.29,522.477 1026.83,519.977 1027.37,517.494 1027.91,515.027 1028.46,512.577 1029,510.145 1029.54,507.729 1030.08,505.331 1030.62,502.951 \n",
       "  1031.17,500.587 1031.71,498.242 1032.25,495.914 1032.79,493.603 1033.34,491.311 1033.88,489.036 1034.42,486.78 1034.96,484.541 1035.51,482.321 1036.05,480.119 \n",
       "  1036.59,477.935 1037.13,475.77 1037.67,473.623 1038.22,471.495 1038.76,469.386 1039.3,467.295 1039.84,465.224 1040.39,463.171 1040.93,461.137 1041.47,459.123 \n",
       "  1042.01,457.128 1042.56,455.152 1043.1,453.195 1043.64,451.258 1044.18,449.341 1044.72,447.443 1045.27,445.565 1045.81,443.707 1046.35,441.868 1046.89,440.05 \n",
       "  1047.44,438.252 1047.98,436.474 1048.52,434.716 1049.06,432.978 1049.61,431.261 1050.15,429.564 1050.69,427.888 1051.23,426.233 1051.77,424.598 1052.32,422.984 \n",
       "  1052.86,421.391 1053.4,419.818 1053.94,418.267 1054.49,416.737 1055.03,415.228 1055.57,413.741 1056.11,412.274 1056.65,410.829 1057.2,409.406 1057.74,408.004 \n",
       "  1058.28,406.624 1058.82,405.265 1059.37,403.928 1059.91,402.613 1060.45,401.32 1060.99,400.049 1061.54,398.8 1062.08,397.573 1062.62,396.369 1063.16,395.186 \n",
       "  1063.7,394.026 1064.25,392.888 1064.79,391.773 1065.33,390.68 1065.87,389.61 1066.42,388.563 1066.96,387.538 1067.5,386.536 1068.04,385.557 1068.59,384.601 \n",
       "  1069.13,383.667 1069.67,382.757 1070.21,381.87 1070.75,381.006 1071.3,380.166 1071.84,379.348 1072.38,378.554 1072.92,377.784 1073.47,377.037 1074.01,376.313 \n",
       "  1074.55,375.613 1075.09,374.937 1075.64,374.284 1076.18,373.655 1076.72,373.05 1077.26,372.469 1077.8,371.911 1078.35,371.378 1078.89,370.869 1079.43,370.383 \n",
       "  1079.97,369.922 1080.52,369.485 1081.06,369.072 1081.6,368.684 1082.14,368.32 1082.69,367.98 1083.23,367.665 1083.77,367.374 1084.31,367.107 1084.85,366.865 \n",
       "  1085.4,366.648 1085.94,366.456 1086.48,366.288 1087.02,366.144 1087.57,366.026 1088.11,365.932 1088.65,365.864 1089.19,365.82 1089.74,365.801 1090.28,365.807 \n",
       "  1090.82,365.838 1091.36,365.894 1091.9,365.975 1092.45,366.082 1092.99,366.213 1093.53,366.37 1094.07,366.551 1094.62,366.759 1095.16,366.991 1095.7,367.249 \n",
       "  1096.24,367.532 1096.79,367.84 1097.33,368.174 1097.87,368.533 1098.41,368.918 1098.95,369.328 1099.5,369.764 1100.04,370.225 1100.58,370.712 1101.12,371.225 \n",
       "  1101.67,371.763 1102.21,372.326 1102.75,372.916 1103.29,373.531 1103.84,374.171 1104.38,374.838 1104.92,375.53 1105.46,376.248 1106,376.991 1106.55,377.761 \n",
       "  1107.09,378.556 1107.63,379.377 1108.17,380.224 1108.72,381.097 1109.26,381.995 1109.8,382.919 1110.34,383.87 1110.89,384.846 1111.43,385.848 1111.97,386.876 \n",
       "  1112.51,387.93 1113.05,389.009 1113.6,390.115 1114.14,391.247 1114.68,392.404 1115.22,393.587 1115.77,394.797 1116.31,396.032 1116.85,397.293 1117.39,398.58 \n",
       "  1117.94,399.893 1118.48,401.232 1119.02,402.597 1119.56,403.988 1120.1,405.404 1120.65,406.847 1121.19,408.315 1121.73,409.81 1122.27,411.33 1122.82,412.876 \n",
       "  1123.36,414.448 1123.9,416.046 1124.44,417.669 1124.98,419.319 1125.53,420.994 1126.07,422.695 1126.61,424.422 1127.15,426.174 1127.7,427.953 1128.24,429.757 \n",
       "  1128.78,431.586 1129.32,433.442 1129.87,435.323 1130.41,437.229 1130.95,439.162 1131.49,441.119 1132.03,443.103 1132.58,445.112 1133.12,447.146 1133.66,449.206 \n",
       "  1134.2,451.292 1134.75,453.402 1135.29,455.539 1135.83,457.7 1136.37,459.887 1136.92,462.099 1137.46,464.337 1138,466.6 1138.54,468.887 1139.08,471.2 \n",
       "  1139.63,473.539 1140.17,475.902 1140.71,478.29 1141.25,480.703 1141.8,483.141 1142.34,485.604 1142.88,488.092 1143.42,490.605 1143.97,493.143 1144.51,495.705 \n",
       "  1145.05,498.292 1145.59,500.903 1146.13,503.54 1146.68,506.2 1147.22,508.885 1147.76,511.595 1148.3,514.329 1148.85,517.087 1149.39,519.87 1149.93,522.676 \n",
       "  1150.47,525.507 1151.02,528.362 1151.56,531.241 1152.1,534.144 1152.64,537.071 1153.18,540.022 1153.73,542.996 1154.27,545.994 1154.81,549.016 1155.35,552.062 \n",
       "  1155.9,555.131 1156.44,558.223 1156.98,561.339 1157.52,564.478 1158.07,567.64 1158.61,570.826 1159.15,574.035 1159.69,577.266 1160.23,580.521 1160.78,583.798 \n",
       "  1161.32,587.098 1161.86,590.421 1162.4,593.767 1162.95,597.135 1163.49,600.526 1164.03,603.939 1164.57,607.374 1165.12,610.832 1165.66,614.311 1166.2,617.813 \n",
       "  1166.74,621.337 1167.28,624.882 1167.83,628.45 1168.37,632.039 1168.91,635.65 1169.45,639.282 1170,642.936 1170.54,646.611 1171.08,650.307 1171.62,654.024 \n",
       "  1172.17,657.763 1172.71,661.522 1173.25,665.302 1173.79,669.103 1174.33,672.925 1174.88,676.767 1175.42,680.63 1175.96,684.513 1176.5,688.416 1177.05,692.34 \n",
       "  1177.59,696.283 1178.13,700.247 1178.67,704.23 1179.22,708.233 1179.76,712.255 1180.3,716.297 1180.84,720.359 1181.38,724.439 1181.93,728.539 1182.47,732.658 \n",
       "  1183.01,736.796 1183.55,740.952 1184.1,745.127 1184.64,749.321 1185.18,753.534 1185.72,757.764 1186.27,762.013 1186.81,766.28 1187.35,770.565 1187.89,774.868 \n",
       "  1188.43,779.188 1188.98,783.526 1189.52,787.882 1190.06,792.254 1190.6,796.644 1191.15,801.052 1191.69,805.476 1192.23,809.917 1192.77,814.374 1193.31,818.848 \n",
       "  1193.86,823.339 1194.4,827.846 1194.94,832.369 1195.48,836.908 1196.03,841.463 1196.57,846.033 1197.11,850.62 1197.65,855.221 1198.2,859.838 1198.74,864.47 \n",
       "  1199.28,869.118 1199.82,873.78 1200.36,878.457 1200.91,883.148 1201.45,887.854 1201.99,892.574 1202.53,897.309 1203.08,902.057 1203.62,906.819 1204.16,911.595 \n",
       "  1204.7,916.385 1205.25,921.188 1205.79,926.004 1206.33,930.834 1206.87,935.676 1207.41,940.531 1207.96,945.399 1208.5,950.279 1209.04,955.172 1209.58,960.076 \n",
       "  1210.13,964.993 1210.67,969.922 1211.21,974.862 1211.75,979.814 1212.3,984.777 1212.84,989.751 1213.38,994.737 1213.92,999.733 1214.46,1004.74 1215.01,1009.76 \n",
       "  1215.55,1014.79 1216.09,1019.82 1216.63,1024.87 1217.18,1029.93 1217.72,1035 1218.26,1040.07 1218.8,1045.16 1219.35,1050.26 1219.89,1055.36 1220.43,1060.48 \n",
       "  1220.97,1065.6 1221.51,1070.73 1222.06,1075.87 1222.6,1081.02 1223.14,1086.17 1223.68,1091.33 1224.23,1096.5 1224.77,1101.68 1225.31,1106.87 1225.85,1112.06 \n",
       "  1226.4,1117.26 1226.94,1122.47 1227.48,1127.68 1228.02,1132.9 1228.56,1138.12 1229.11,1143.35 1229.65,1148.59 1230.19,1153.83 1230.73,1159.08 1231.28,1164.33 \n",
       "  1231.82,1169.59 1232.36,1174.86 1232.9,1180.12 1233.45,1185.4 1233.99,1190.67 1234.53,1195.95 1235.07,1201.24 1235.61,1206.53 1236.16,1211.82 1236.7,1217.11 \n",
       "  1237.24,1222.41 1237.78,1227.71 1238.33,1233.02 1238.87,1238.32 1239.41,1243.63 1239.95,1248.95 1240.5,1254.26 1241.04,1259.57 1241.58,1264.89 1242.12,1270.21 \n",
       "  1242.66,1275.53 1243.21,1280.85 1243.75,1286.17 1244.29,1291.49 1244.83,1296.81 1245.38,1302.14 1245.92,1307.46 1246.46,1312.78 1247,1318.1 1247.55,1323.42 \n",
       "  1248.09,1328.75 1248.63,1334.06 1249.17,1339.38 1249.71,1344.7 1250.26,1350.02 1250.8,1355.33 1251.34,1360.64 1251.88,1365.95 1252.43,1371.26 1252.97,1376.56 \n",
       "  1253.51,1381.86 1254.05,1387.16 1254.6,1392.46 1255.14,1397.75 1255.68,1403.04 1256.22,1408.32 1256.76,1413.6 1257.31,1418.88 1257.85,1424.15 1258.39,1429.42 \n",
       "  1258.93,1434.68 1259.48,1439.94 1260.02,1445.19 1260.56,1442.08 1261.1,1436.84 1261.64,1431.61 1262.19,1426.38 1262.73,1421.16 1263.27,1415.94 1263.81,1410.73 \n",
       "  1264.36,1405.53 1264.9,1400.34 1265.44,1395.15 1265.98,1389.97 1266.53,1384.8 1267.07,1379.63 1267.61,1374.48 1268.15,1369.33 1268.69,1364.19 1269.24,1359.06 \n",
       "  1269.78,1353.94 1270.32,1348.83 1270.86,1343.73 1271.41,1338.63 1271.95,1333.55 1272.49,1328.48 1273.03,1323.42 1273.58,1318.36 1274.12,1313.32 1274.66,1308.29 \n",
       "  1275.2,1303.28 1275.74,1298.27 1276.29,1293.27 1276.83,1288.29 1277.37,1283.32 1277.91,1278.36 1278.46,1273.41 1279,1268.47 1279.54,1263.55 1280.08,1258.64 \n",
       "  1280.63,1253.75 1281.17,1248.87 1281.71,1244 1282.25,1239.14 1282.79,1234.3 1283.34,1229.48 1283.88,1224.66 1284.42,1219.87 1284.96,1215.09 1285.51,1210.32 \n",
       "  1286.05,1205.57 1286.59,1200.83 1287.13,1196.11 1287.68,1191.41 1288.22,1186.72 1288.76,1182.05 1289.3,1177.39 1289.84,1172.75 1290.39,1168.13 1290.93,1163.53 \n",
       "  1291.47,1158.94 1292.01,1154.37 1292.56,1149.82 1293.1,1145.29 1293.64,1140.77 1294.18,1136.28 1294.73,1131.8 1295.27,1127.34 1295.81,1122.9 1296.35,1118.48 \n",
       "  1296.89,1114.08 1297.44,1109.7 1297.98,1105.33 1298.52,1100.99 1299.06,1096.67 1299.61,1092.37 1300.15,1088.09 1300.69,1083.83 1301.23,1079.59 1301.78,1075.37 \n",
       "  1302.32,1071.18 1302.86,1067 1303.4,1062.85 1303.94,1058.72 1304.49,1054.61 1305.03,1050.53 1305.57,1046.46 1306.11,1042.42 1306.66,1038.4 1307.2,1034.41 \n",
       "  1307.74,1030.44 1308.28,1026.49 1308.83,1022.57 1309.37,1018.67 1309.91,1014.79 1310.45,1010.94 1310.99,1007.12 1311.54,1003.31 1312.08,999.536 1312.62,995.785 \n",
       "  1313.16,992.058 1313.71,988.357 1314.25,984.681 1314.79,981.031 1315.33,977.407 1315.88,973.81 1316.42,970.238 1316.96,966.694 1317.5,963.176 1318.04,959.684 \n",
       "  1318.59,956.22 1319.13,952.784 1319.67,949.374 1320.21,945.992 1320.76,942.638 1321.3,939.312 1321.84,936.014 1322.38,932.744 1322.93,929.503 1323.47,926.291 \n",
       "  1324.01,923.107 1324.55,919.952 1325.09,916.826 1325.64,913.73 1326.18,910.663 1326.72,907.626 1327.26,904.618 1327.81,901.641 1328.35,898.693 1328.89,895.776 \n",
       "  1329.43,892.889 1329.97,890.033 1330.52,887.208 1331.06,884.413 1331.6,881.65 1332.14,878.918 1332.69,876.217 1333.23,873.548 1333.77,870.91 1334.31,868.304 \n",
       "  1334.86,865.731 1335.4,863.189 1335.94,860.68 1336.48,858.203 1337.02,855.758 1337.57,853.347 1338.11,850.968 1338.65,848.622 1339.19,846.309 1339.74,844.03 \n",
       "  1340.28,841.784 1340.82,839.572 1341.36,837.393 1341.91,835.248 1342.45,833.137 1342.99,831.06 1343.53,829.017 1344.07,827.009 1344.62,825.035 1345.16,823.096 \n",
       "  1345.7,821.191 1346.24,819.322 1346.79,817.487 1347.33,815.687 1347.87,813.923 1348.41,812.194 1348.96,810.5 1349.5,808.842 1350.04,807.22 1350.58,805.633 \n",
       "  1351.12,804.083 1351.67,802.568 1352.21,801.09 1352.75,799.647 1353.29,798.241 1353.84,796.872 1354.38,795.539 1354.92,794.243 1355.46,792.984 1356.01,791.761 \n",
       "  1356.55,790.575 1357.09,789.427 1357.63,788.316 1358.17,787.241 1358.72,786.205 1359.26,785.205 1359.8,784.244 1360.34,783.319 1360.89,782.433 1361.43,781.584 \n",
       "  1361.97,780.773 1362.51,780.001 1363.06,779.266 1363.6,778.569 1364.14,777.911 1364.68,777.291 1365.22,776.709 1365.77,776.165 1366.31,775.66 1366.85,775.194 \n",
       "  1367.39,774.766 1367.94,774.377 1368.48,774.027 1369.02,773.716 1369.56,773.443 1370.11,773.21 1370.65,773.015 1371.19,772.86 1371.73,772.743 1372.27,772.666 \n",
       "  1372.82,772.628 1373.36,772.629 1373.9,772.67 1374.44,772.75 1374.99,772.87 1375.53,773.029 1376.07,773.227 1376.61,773.465 1377.16,773.743 1377.7,774.061 \n",
       "  1378.24,774.418 1378.78,774.814 1379.32,775.251 1379.87,775.727 1380.41,776.243 1380.95,776.799 1381.49,777.395 1382.04,778.03 1382.58,778.706 1383.12,779.421 \n",
       "  1383.66,780.177 1384.21,780.972 1384.75,781.807 1385.29,782.683 1385.83,783.598 1386.37,784.553 1386.92,785.549 1387.46,786.584 1388,787.66 1388.54,788.775 \n",
       "  1389.09,789.931 1389.63,791.126 1390.17,792.362 1390.71,793.637 1391.26,794.953 1391.8,796.309 1392.34,797.704 1392.88,799.14 1393.42,800.616 1393.97,802.131 \n",
       "  1394.51,803.687 1395.05,805.283 1395.59,806.918 1396.14,808.593 1396.68,810.309 1397.22,812.064 1397.76,813.859 1398.31,815.693 1398.85,817.568 1399.39,819.482 \n",
       "  1399.93,821.436 1400.47,823.429 1401.02,825.462 1401.56,827.535 1402.1,829.647 1402.64,831.799 1403.19,833.99 1403.73,836.22 1404.27,838.49 1404.81,840.799 \n",
       "  1405.35,843.148 1405.9,845.535 1406.44,847.962 1406.98,850.428 1407.52,852.933 1408.07,855.476 1408.61,858.059 1409.15,860.68 1409.69,863.34 1410.24,866.039 \n",
       "  1410.78,868.776 1411.32,871.552 1411.86,874.367 1412.4,877.22 1412.95,880.111 1413.49,883.04 1414.03,886.007 1414.57,889.013 1415.12,892.056 1415.66,895.137 \n",
       "  1416.2,898.256 1416.74,901.413 1417.29,904.607 1417.83,907.839 1418.37,911.108 1418.91,914.414 1419.45,917.758 1420,921.138 1420.54,924.556 1421.08,928.011 \n",
       "  1421.62,931.502 1422.17,935.03 1422.71,938.594 1423.25,942.195 1423.79,945.832 1424.34,949.506 1424.88,953.215 1425.42,956.96 1425.96,960.741 1426.5,964.558 \n",
       "  1427.05,968.411 1427.59,972.298 1428.13,976.221 1428.67,980.18 1429.22,984.173 1429.76,988.201 1430.3,992.264 1430.84,996.362 1431.39,1000.49 1431.93,1004.66 \n",
       "  1432.47,1008.86 1433.01,1013.09 1433.55,1017.36 1434.1,1021.67 1434.64,1026 1435.18,1030.37 1435.72,1034.77 1436.27,1039.21 1436.81,1043.68 1437.35,1048.18 \n",
       "  1437.89,1052.71 1438.44,1057.28 1438.98,1061.88 1439.52,1066.51 1440.06,1071.17 1440.6,1075.86 1441.15,1080.59 1441.69,1085.34 1442.23,1090.13 1442.77,1094.95 \n",
       "  1443.32,1099.8 1443.86,1104.68 1444.4,1109.6 1444.94,1114.54 1445.49,1119.51 1446.03,1124.51 1446.57,1129.54 1447.11,1134.6 1447.65,1139.69 1448.2,1144.81 \n",
       "  1448.74,1149.96 1449.28,1155.14 1449.82,1160.34 1450.37,1165.58 1450.91,1170.84 1451.45,1176.13 1451.99,1181.45 1452.54,1186.79 1453.08,1192.16 1453.62,1197.56 \n",
       "  1454.16,1202.99 1454.7,1208.44 1455.25,1213.92 1455.79,1219.43 1456.33,1224.96 1456.87,1230.52 1457.42,1236.1 1457.96,1241.71 1458.5,1247.34 1459.04,1253 \n",
       "  1459.59,1258.68 1460.13,1264.39 1460.67,1270.12 1461.21,1275.88 1461.75,1281.65 1462.3,1287.46 1462.84,1293.28 1463.38,1299.13 1463.92,1305 1464.47,1310.89 \n",
       "  1465.01,1316.81 1465.55,1322.75 1466.09,1328.71 1466.64,1334.69 1467.18,1340.69 1467.72,1346.71 1468.26,1352.76 1468.8,1358.82 1469.35,1364.9 1469.89,1371.01 \n",
       "  1470.43,1377.13 1470.97,1383.28 1471.52,1389.44 1472.06,1395.62 1472.6,1401.82 1473.14,1408.04 1473.68,1414.27 1474.23,1420.53 1474.77,1426.8 1475.31,1433.09 \n",
       "  1475.85,1439.39 1476.4,1445.72 1476.94,1440.46 1477.48,1434.11 1478.02,1427.74 1478.57,1421.35 1479.11,1414.95 1479.65,1408.53 1480.19,1402.1 1480.73,1395.65 \n",
       "  1481.28,1389.19 1481.82,1382.72 1482.36,1376.23 1482.9,1369.73 1483.45,1363.21 1483.99,1356.69 1484.53,1350.15 1485.07,1343.6 1485.62,1337.03 1486.16,1330.46 \n",
       "  1486.7,1323.87 1487.24,1317.27 1487.78,1310.66 1488.33,1304.05 1488.87,1297.42 1489.41,1290.78 1489.95,1284.13 1490.5,1277.47 1491.04,1270.81 1491.58,1264.13 \n",
       "  1492.12,1257.45 1492.67,1250.76 1493.21,1244.06 1493.75,1237.35 1494.29,1230.64 1494.83,1223.92 1495.38,1217.2 1495.92,1210.46 1496.46,1203.72 1497,1196.98 \n",
       "  1497.55,1190.23 1498.09,1183.48 1498.63,1176.72 1499.17,1169.96 1499.72,1163.19 1500.26,1156.42 1500.8,1149.65 1501.34,1142.87 1501.88,1136.09 1502.43,1129.31 \n",
       "  1502.97,1122.53 1503.51,1115.74 1504.05,1108.95 1504.6,1102.17 1505.14,1095.38 1505.68,1088.59 1506.22,1081.8 1506.77,1075.01 1507.31,1068.22 1507.85,1061.43 \n",
       "  1508.39,1054.65 1508.93,1047.86 1509.48,1041.08 1510.02,1034.3 1510.56,1027.52 1511.1,1020.74 1511.65,1013.97 1512.19,1007.2 1512.73,1000.43 1513.27,993.673 \n",
       "  1513.82,986.916 1514.36,980.164 1514.9,973.417 1515.44,966.675 1515.98,959.938 1516.53,953.208 1517.07,946.484 1517.61,939.767 1518.15,933.057 1518.7,926.354 \n",
       "  1519.24,919.659 1519.78,912.972 1520.32,906.293 1520.87,899.623 1521.41,892.962 1521.95,886.31 1522.49,879.668 1523.03,873.036 1523.58,866.414 1524.12,859.803 \n",
       "  1524.66,853.202 1525.2,846.613 1525.75,840.036 1526.29,833.47 1526.83,826.917 1527.37,820.376 1527.92,813.848 1528.46,807.334 1529,800.833 1529.54,794.346 \n",
       "  1530.08,787.873 1530.63,781.414 1531.17,774.971 1531.71,768.542 1532.25,762.129 1532.8,755.732 1533.34,749.351 1533.88,742.987 1534.42,736.639 1534.97,730.309 \n",
       "  1535.51,723.996 1536.05,717.7 1536.59,711.423 1537.13,705.164 1537.68,698.924 1538.22,692.703 1538.76,686.501 1539.3,680.319 1539.85,674.157 1540.39,668.015 \n",
       "  1540.93,661.893 1541.47,655.793 1542.01,649.714 1542.56,643.657 1543.1,637.621 1543.64,631.608 1544.18,625.617 1544.73,619.648 1545.27,613.703 1545.81,607.782 \n",
       "  1546.35,601.884 1546.9,596.01 1547.44,590.16 1547.98,584.336 1548.52,578.536 1549.06,572.761 1549.61,567.012 1550.15,561.289 1550.69,555.592 1551.23,549.921 \n",
       "  1551.78,544.277 1552.32,538.66 1552.86,533.071 1553.4,527.509 1553.95,521.975 1554.49,516.47 1555.03,510.993 1555.57,505.544 1556.11,500.125 1556.66,494.735 \n",
       "  1557.2,489.375 1557.74,484.045 1558.28,478.746 1558.83,473.476 1559.37,468.238 1559.91,463.03 1560.45,457.854 1561,452.71 1561.54,447.598 1562.08,442.518 \n",
       "  1562.62,437.47 1563.16,432.455 1563.71,427.473 1564.25,422.525 1564.79,417.61 1565.33,412.729 1565.88,407.882 1566.42,403.069 1566.96,398.292 1567.5,393.549 \n",
       "  1568.05,388.841 1568.59,384.168 1569.13,379.531 1569.67,374.931 1570.21,370.366 1570.76,365.838 1571.3,361.346 1571.84,356.892 1572.38,352.475 1572.93,348.095 \n",
       "  1573.47,343.752 1574.01,339.448 1574.55,335.182 1575.1,330.954 1575.64,326.765 1576.18,322.615 1576.72,318.504 1577.26,314.432 1577.81,310.4 1578.35,306.408 \n",
       "  1578.89,302.455 1579.43,298.543 1579.98,294.671 1580.52,290.841 1581.06,287.051 1581.6,283.302 1582.15,279.594 1582.69,275.928 1583.23,272.304 1583.77,268.722 \n",
       "  1584.31,265.182 1584.86,261.684 1585.4,258.229 1585.94,254.816 1586.48,251.447 1587.03,248.121 1587.57,244.838 1588.11,241.599 1588.65,238.404 1589.2,235.252 \n",
       "  1589.74,232.145 1590.28,229.082 1590.82,226.063 1591.36,223.09 1591.91,220.161 1592.45,217.277 1592.99,214.438 1593.53,211.645 1594.08,208.897 1594.62,206.195 \n",
       "  1595.16,203.539 1595.7,200.928 1596.25,198.364 1596.79,195.847 1597.33,193.376 1597.87,190.951 1598.41,188.573 1598.96,186.243 1599.5,183.959 1600.04,181.723 \n",
       "  1600.58,179.534 1601.13,177.392 1601.67,175.298 1602.21,173.252 1602.75,171.254 1603.3,169.304 1603.84,167.402 1604.38,165.549 1604.92,163.743 1605.46,161.987 \n",
       "  1606.01,160.279 1606.55,158.619 1607.09,157.009 1607.63,155.447 1608.18,153.935 1608.72,152.472 1609.26,151.058 1609.8,149.693 1610.34,148.378 1610.89,147.113 \n",
       "  1611.43,145.897 1611.97,144.731 1612.51,143.615 1613.06,142.548 1613.6,141.532 1614.14,140.565 1614.68,139.649 1615.23,138.783 1615.77,137.967 1616.31,137.202 \n",
       "  1616.85,136.487 1617.39,135.822 1617.94,135.208 1618.48,134.645 1619.02,134.132 1619.56,133.67 1620.11,133.258 1620.65,132.897 1621.19,132.587 1621.73,132.328 \n",
       "  1622.28,132.12 1622.82,131.963 1623.36,131.856 1623.9,131.801 1624.44,131.796 1624.99,131.843 1625.53,131.94 1626.07,132.089 1626.61,132.288 1627.16,132.539 \n",
       "  1627.7,132.841 1628.24,133.193 1628.78,133.597 1629.33,134.052 1629.87,134.558 1630.41,135.115 1630.95,135.723 1631.49,136.382 1632.04,137.092 1632.58,137.853 \n",
       "  1633.12,138.665 1633.66,139.528 1634.21,140.442 1634.75,141.407 1635.29,142.422 1635.83,143.488 1636.38,144.606 1636.92,145.773 1637.46,146.992 1638,148.261 \n",
       "  1638.54,149.581 1639.09,150.951 1639.63,152.372 1640.17,153.843 1640.71,155.364 1641.26,156.936 1641.8,158.558 1642.34,160.23 1642.88,161.952 1643.43,163.724 \n",
       "  1643.97,165.546 1644.51,167.418 1645.05,169.34 1645.59,171.311 1646.14,173.332 1646.68,175.402 1647.22,177.521 1647.76,179.69 1648.31,181.908 1648.85,184.175 \n",
       "  1649.39,186.491 1649.93,188.856 1650.48,191.269 1651.02,193.731 1651.56,196.242 1652.1,198.8 1652.64,201.407 1653.19,204.062 1653.73,206.765 1654.27,209.516 \n",
       "  1654.81,212.315 1655.36,215.161 1655.9,218.054 1656.44,220.995 1656.98,223.982 1657.53,227.017 1658.07,230.098 1658.61,233.226 1659.15,236.401 1659.69,239.621 \n",
       "  1660.24,242.888 1660.78,246.201 1661.32,249.559 1661.86,252.964 1662.41,256.413 1662.95,259.908 1663.49,263.448 1664.03,267.032 1664.58,270.662 1665.12,274.335 \n",
       "  1665.66,278.053 1666.2,281.816 1666.74,285.622 1667.29,289.471 1667.83,293.364 1668.37,297.301 1668.91,301.28 1669.46,305.302 1670,309.367 1670.54,313.475 \n",
       "  1671.08,317.624 1671.63,321.815 1672.17,326.048 1672.71,330.323 1673.25,334.639 1673.79,338.995 1674.34,343.393 1674.88,347.831 1675.42,352.309 1675.96,356.827 \n",
       "  1676.51,361.385 1677.05,365.983 1677.59,370.62 1678.13,375.296 1678.67,380.01 1679.22,384.763 1679.76,389.555 1680.3,394.384 1680.84,399.251 1681.39,404.155 \n",
       "  1681.93,409.096 1682.47,414.075 1683.01,419.09 1683.56,424.141 1684.1,429.228 1684.64,434.351 1685.18,439.509 1685.72,444.702 1686.27,449.931 1686.81,455.193 \n",
       "  1687.35,460.49 1687.89,465.821 1688.44,471.186 1688.98,476.584 1689.52,482.014 1690.06,487.478 1690.61,492.974 1691.15,498.502 1691.69,504.062 1692.23,509.653 \n",
       "  1692.77,515.275 1693.32,520.928 1693.86,526.612 1694.4,532.325 1694.94,538.069 1695.49,543.842 1696.03,549.644 1696.57,555.474 1697.11,561.334 1697.66,567.221 \n",
       "  1698.2,573.136 1698.74,579.078 1699.28,585.048 1699.82,591.044 1700.37,597.067 1700.91,603.116 1701.45,609.19 1701.99,615.289 1702.54,621.414 1703.08,627.563 \n",
       "  1703.62,633.736 1704.16,639.933 1704.71,646.154 1705.25,652.398 1705.79,658.664 1706.33,664.953 1706.87,671.264 1707.42,677.596 1707.96,683.95 1708.5,690.325 \n",
       "  1709.04,696.72 1709.59,703.135 1710.13,709.569 1710.67,716.024 1711.21,722.497 1711.76,728.988 1712.3,735.498 1712.84,742.026 1713.38,748.571 1713.92,755.132 \n",
       "  1714.47,761.711 1715.01,768.306 1715.55,774.916 1716.09,781.542 1716.64,788.183 1717.18,794.838 1717.72,801.508 1718.26,808.191 1718.81,814.888 1719.35,821.598 \n",
       "  1719.89,828.32 1720.43,835.054 1720.97,841.8 1721.52,848.558 1722.06,855.326 1722.6,862.105 1723.14,868.894 1723.69,875.692 1724.23,882.5 1724.77,889.317 \n",
       "  1725.31,896.142 1725.86,902.975 1726.4,909.815 1726.94,916.663 1727.48,923.517 1728.02,930.378 1728.57,937.244 1729.11,944.116 1729.65,950.993 1730.19,957.875 \n",
       "  1730.74,964.761 1731.28,971.65 1731.82,978.543 1732.36,985.438 1732.91,992.336 1733.45,999.236 1733.99,1006.14 1734.53,1013.04 1735.07,1019.94 1735.62,1026.85 \n",
       "  1736.16,1033.75 1736.7,1040.65 1737.24,1047.56 1737.79,1054.46 1738.33,1061.35 1738.87,1068.25 1739.41,1075.14 1739.96,1082.03 1740.5,1088.92 1741.04,1095.8 \n",
       "  1741.58,1102.68 1742.12,1109.55 1742.67,1116.42 1743.21,1123.28 1743.75,1130.14 1744.29,1136.99 1744.84,1143.83 1745.38,1150.66 1745.92,1157.49 1746.46,1164.31 \n",
       "  1747,1171.12 1747.55,1177.92 1748.09,1184.71 1748.63,1191.49 1749.17,1198.25 1749.72,1205.01 1750.26,1211.76 1750.8,1218.49 1751.34,1225.21 1751.89,1231.92 \n",
       "  1752.43,1238.62 1752.97,1245.3 1753.51,1251.97 1754.05,1258.62 1754.6,1265.26 1755.14,1271.88 1755.68,1278.49 1756.22,1285.08 1756.77,1291.66 1757.31,1298.21 \n",
       "  1757.85,1304.75 1758.39,1311.27 1758.94,1317.78 1759.48,1324.26 1760.02,1330.73 1760.56,1337.17 1761.1,1343.6 1761.65,1350 1762.19,1356.39 1762.73,1362.75 \n",
       "  1763.27,1369.09 1763.82,1375.41 1764.36,1381.7 1764.9,1387.97 1765.44,1394.22 1765.99,1400.45 1766.53,1406.65 1767.07,1412.83 1767.61,1418.98 1768.15,1425.1 \n",
       "  1768.7,1431.2 1769.24,1437.27 1769.78,1443.32 1770.32,1443.18 1770.87,1437.19 1771.41,1431.22 1771.95,1425.29 1772.49,1419.38 1773.04,1413.51 1773.58,1407.66 \n",
       "  1774.12,1401.84 1774.66,1396.05 1775.2,1390.3 1775.75,1384.57 1776.29,1378.88 1776.83,1373.22 1777.37,1367.59 1777.92,1361.99 1778.46,1356.43 1779,1350.9 \n",
       "  1779.54,1345.4 1780.09,1339.94 1780.63,1334.51 1781.17,1329.12 1781.71,1323.77 1782.25,1318.44 1782.8,1313.16 1783.34,1307.91 1783.88,1302.7 1784.42,1297.53 \n",
       "  1784.97,1292.39 1785.51,1287.29 1786.05,1282.23 1786.59,1277.21 1787.14,1272.22 1787.68,1267.28 1788.22,1262.38 1788.76,1257.51 1789.3,1252.69 1789.85,1247.91 \n",
       "  1790.39,1243.17 1790.93,1238.46 1791.47,1233.81 1792.02,1229.19 1792.56,1224.62 1793.1,1220.08 1793.64,1215.6 1794.19,1211.15 1794.73,1206.75 1795.27,1202.39 \n",
       "  1795.81,1198.08 1796.35,1193.81 1796.9,1189.59 1797.44,1185.41 1797.98,1181.28 1798.52,1177.19 1799.07,1173.15 1799.61,1169.15 1800.15,1165.21 1800.69,1161.3 \n",
       "  1801.24,1157.45 1801.78,1153.65 1802.32,1149.89 1802.86,1146.18 1803.4,1142.52 1803.95,1138.9 1804.49,1135.34 1805.03,1131.83 1805.57,1128.36 1806.12,1124.95 \n",
       "  1806.66,1121.58 1807.2,1118.27 1807.74,1115 1808.29,1111.79 1808.83,1108.63 1809.37,1105.51 1809.91,1102.45 1810.45,1099.45 1811,1096.49 1811.54,1093.59 \n",
       "  1812.08,1090.73 1812.62,1087.94 1813.17,1085.19 1813.71,1082.5 1814.25,1079.86 1814.79,1077.27 1815.33,1074.74 1815.88,1072.26 1816.42,1069.84 1816.96,1067.47 \n",
       "  1817.5,1065.15 1818.05,1062.89 1818.59,1060.68 1819.13,1058.53 1819.67,1056.44 1820.22,1054.4 1820.76,1052.41 1821.3,1050.48 1821.84,1048.61 1822.38,1046.79 \n",
       "  1822.93,1045.03 1823.47,1043.33 1824.01,1041.68 1824.55,1040.09 1825.1,1038.56 1825.64,1037.08 1826.18,1035.66 1826.72,1034.3 1827.27,1032.99 1827.81,1031.75 \n",
       "  1828.35,1030.56 1828.89,1029.42 1829.43,1028.35 1829.98,1027.33 1830.52,1026.37 1831.06,1025.47 1831.6,1024.63 1832.15,1023.85 1832.69,1023.12 1833.23,1022.46 \n",
       "  1833.77,1021.85 1834.32,1021.3 1834.86,1020.81 1835.4,1020.38 1835.94,1020.01 1836.48,1019.69 1837.03,1019.44 1837.57,1019.24 1838.11,1019.11 1838.65,1019.03 \n",
       "  1839.2,1019.01 1839.74,1019.06 1840.28,1019.16 1840.82,1019.32 1841.37,1019.54 1841.91,1019.82 1842.45,1020.16 1842.99,1020.56 1843.53,1021.01 1844.08,1021.53 \n",
       "  1844.62,1022.11 1845.16,1022.75 1845.7,1023.44 1846.25,1024.2 1846.79,1025.01 1847.33,1025.89 1847.87,1026.82 1848.42,1027.81 1848.96,1028.87 1849.5,1029.98 \n",
       "  1850.04,1031.15 1850.58,1032.38 1851.13,1033.67 1851.67,1035.02 1852.21,1036.43 1852.75,1037.9 1853.3,1039.42 1853.84,1041.01 1854.38,1042.65 1854.92,1044.36 \n",
       "  1855.47,1046.12 1856.01,1047.94 1856.55,1049.82 1857.09,1051.76 1857.63,1053.75 1858.18,1055.81 1858.72,1057.92 1859.26,1060.09 1859.8,1062.32 1860.35,1064.61 \n",
       "  1860.89,1066.95 1861.43,1069.36 1861.97,1071.82 1862.52,1074.33 1863.06,1076.91 1863.6,1079.54 1864.14,1082.23 1864.68,1084.97 1865.23,1087.78 1865.77,1090.64 \n",
       "  1866.31,1093.55 1866.85,1096.52 1867.4,1099.55 1867.94,1102.63 1868.48,1105.77 1869.02,1108.97 1869.57,1112.22 1870.11,1115.52 1870.65,1118.88 1871.19,1122.3 \n",
       "  1871.73,1125.77 1872.28,1129.29 1872.82,1132.87 1873.36,1136.5 1873.9,1140.19 1874.45,1143.93 1874.99,1147.72 1875.53,1151.57 1876.07,1155.47 1876.62,1159.42 \n",
       "  1877.16,1163.42 1877.7,1167.48 1878.24,1171.58 1878.78,1175.74 1879.33,1179.96 1879.87,1184.22 1880.41,1188.53 1880.95,1192.89 1881.5,1197.31 1882.04,1201.77 \n",
       "  1882.58,1206.29 1883.12,1210.85 1883.66,1215.46 1884.21,1220.12 1884.75,1224.84 1885.29,1229.59 1885.83,1234.4 1886.38,1239.26 1886.92,1244.16 1887.46,1249.11 \n",
       "  1888,1254.1 1888.55,1259.15 1889.09,1264.24 1889.63,1269.37 1890.17,1274.55 1890.71,1279.78 1891.26,1285.05 1891.8,1290.36 1892.34,1295.72 1892.88,1301.13 \n",
       "  1893.43,1306.57 1893.97,1312.06 1894.51,1317.6 1895.05,1323.17 1895.6,1328.79 1896.14,1334.45 1896.68,1340.15 1897.22,1345.89 1897.76,1351.68 1898.31,1357.5 \n",
       "  1898.85,1363.36 1899.39,1369.27 1899.93,1375.21 1900.48,1381.19 1901.02,1387.21 1901.56,1393.26 1902.1,1399.36 1902.65,1405.49 1903.19,1411.66 1903.73,1417.86 \n",
       "  1904.27,1424.1 1904.81,1430.38 1905.36,1436.69 1905.9,1443.03 1906.44,1443.1 1906.98,1436.69 1907.53,1430.24 1908.07,1423.76 1908.61,1417.25 1909.15,1410.7 \n",
       "  1909.7,1404.13 1910.24,1397.52 1910.78,1390.88 1911.32,1384.21 1911.86,1377.51 1912.41,1370.79 1912.95,1364.03 1913.49,1357.24 1914.03,1350.43 1914.58,1343.59 \n",
       "  1915.12,1336.72 1915.66,1329.82 1916.2,1322.9 1916.75,1315.96 1917.29,1308.98 1917.83,1301.99 1918.37,1294.97 1918.91,1287.92 1919.46,1280.85 1920,1273.76 \n",
       "  1920.54,1266.65 1921.08,1259.51 1921.63,1252.35 1922.17,1245.18 1922.71,1237.98 1923.25,1230.76 1923.8,1223.52 1924.34,1216.27 1924.88,1208.99 1925.42,1201.7 \n",
       "  1925.96,1194.39 1926.51,1187.06 1927.05,1179.72 1927.59,1172.36 1928.13,1164.99 1928.68,1157.6 1929.22,1150.19 1929.76,1142.78 1930.3,1135.35 1930.85,1127.9 \n",
       "  1931.39,1120.45 1931.93,1112.98 1932.47,1105.5 1933.01,1098.01 1933.56,1090.51 1934.1,1083.01 1934.64,1075.49 1935.18,1067.96 1935.73,1060.43 1936.27,1052.89 \n",
       "  1936.81,1045.34 1937.35,1037.79 1937.9,1030.23 1938.44,1022.66 1938.98,1015.09 1939.52,1007.52 1940.06,999.937 1940.61,992.356 1941.15,984.772 1941.69,977.186 \n",
       "  1942.23,969.599 1942.78,962.011 1943.32,954.423 1943.86,946.834 1944.4,939.247 1944.95,931.661 1945.49,924.076 1946.03,916.494 1946.57,908.915 1947.11,901.339 \n",
       "  1947.66,893.768 1948.2,886.2 1948.74,878.639 1949.28,871.082 1949.83,863.532 1950.37,855.989 1950.91,848.453 1951.45,840.925 1951.99,833.406 1952.54,825.895 \n",
       "  1953.08,818.394 1953.62,810.903 1954.16,803.423 1954.71,795.954 1955.25,788.497 1955.79,781.052 1956.33,773.62 1956.88,766.201 1957.42,758.796 1957.96,751.406 \n",
       "  1958.5,744.031 1959.04,736.671 1959.59,729.328 1960.13,722.001 1960.67,714.692 1961.21,707.4 1961.76,700.127 1962.3,692.873 1962.84,685.638 1963.38,678.423 \n",
       "  1963.93,671.229 1964.47,664.055 1965.01,656.904 1965.55,649.774 1966.09,642.667 1966.64,635.584 1967.18,628.524 1967.72,621.489 1968.26,614.478 1968.81,607.493 \n",
       "  1969.35,600.533 1969.89,593.601 1970.43,586.695 1970.98,579.816 1971.52,572.966 1972.06,566.144 1972.6,559.351 1973.14,552.588 1973.69,545.855 1974.23,539.153 \n",
       "  1974.77,532.482 1975.31,525.842 1975.86,519.235 1976.4,512.66 1976.94,506.119 1977.48,499.611 1978.03,493.138 1978.57,486.699 1979.11,480.296 1979.65,473.928 \n",
       "  1980.19,467.597 1980.74,461.302 1981.28,455.045 1981.82,448.825 1982.36,442.644 1982.91,436.501 1983.45,430.397 1983.99,424.334 1984.53,418.31 1985.08,412.327 \n",
       "  1985.62,406.385 1986.16,400.485 1986.7,394.627 1987.24,388.811 1987.79,383.038 1988.33,377.309 1988.87,371.624 1989.41,365.983 1989.96,360.387 1990.5,354.837 \n",
       "  1991.04,349.332 1991.58,343.873 1992.13,338.461 1992.67,333.096 1993.21,327.779 1993.75,322.509 1994.29,317.289 1994.84,312.116 1995.38,306.994 1995.92,301.92 \n",
       "  1996.46,296.897 1997.01,291.925 1997.55,287.003 1998.09,282.133 1998.63,277.315 1999.18,272.548 1999.72,267.835 2000.26,263.174 2000.8,258.566 2001.34,254.013 \n",
       "  2001.89,249.513 2002.43,245.069 2002.97,240.679 2003.51,236.344 2004.06,232.065 2004.6,227.842 2005.14,223.675 2005.68,219.565 2006.23,215.513 2006.77,211.517 \n",
       "  2007.31,207.58 2007.85,203.701 2008.39,199.88 2008.94,196.118 2009.48,192.416 2010.02,188.773 2010.56,185.189 2011.11,181.666 2011.65,178.204 2012.19,174.802 \n",
       "  2012.73,171.461 2013.28,168.182 2013.82,164.965 2014.36,161.809 2014.9,158.716 2015.44,155.686 2015.99,152.719 2016.53,149.814 2017.07,146.973 2017.61,144.196 \n",
       "  2018.16,141.483 2018.7,138.835 2019.24,136.25 2019.78,133.731 2020.32,131.277 2020.87,128.888 2021.41,126.564 2021.95,124.306 2022.49,122.115 2023.04,119.989 \n",
       "  2023.58,117.93 2024.12,115.938 2024.66,114.013 2025.21,112.154 2025.75,110.364 2026.29,108.64 2026.83,106.984 2027.37,105.397 2027.92,103.877 2028.46,102.426 \n",
       "  2029,101.043 2029.54,99.7286 2030.09,98.4831 2030.63,97.3066 2031.17,96.1992 2031.71,95.1612 2032.26,94.1925 2032.8,93.2934 2033.34,92.464 2033.88,91.7045 \n",
       "  2034.42,91.0149 2034.97,90.3954 2035.51,89.8462 2036.05,89.3673 2036.59,88.9588 2037.14,88.6208 2037.68,88.3535 2038.22,88.1569 2038.76,88.0311 2039.31,87.9763 \n",
       "  2039.85,87.9924 2040.39,88.0796 2040.93,88.2379 2041.47,88.4674 2042.02,88.7681 2042.56,89.1401 2043.1,89.5835 2043.64,90.0982 2044.19,90.6844 2044.73,91.342 \n",
       "  2045.27,92.0712 2045.81,92.8718 2046.36,93.7439 2046.9,94.6876 2047.44,95.7027 2047.98,96.7895 2048.52,97.9477 2049.07,99.1775 2049.61,100.479 2050.15,101.852 \n",
       "  2050.69,103.296 2051.24,104.811 2051.78,106.398 2052.32,108.057 2052.86,109.787 2053.41,111.588 2053.95,113.46 2054.49,115.403 2055.03,117.417 2055.57,119.503 \n",
       "  2056.12,121.659 2056.66,123.886 2057.2,126.184 2057.74,128.552 2058.29,130.991 2058.83,133.5 2059.37,136.08 2059.91,138.73 2060.46,141.45 2061,144.24 \n",
       "  2061.54,147.1 2062.08,150.03 2062.62,153.029 2063.17,156.097 2063.71,159.235 2064.25,162.442 2064.79,165.717 2065.34,169.062 2065.88,172.475 2066.42,175.957 \n",
       "  2066.96,179.506 2067.51,183.124 2068.05,186.81 2068.59,190.563 2069.13,194.384 2069.67,198.272 2070.22,202.227 2070.76,206.249 2071.3,210.337 2071.84,214.492 \n",
       "  2072.39,218.712 2072.93,222.999 2073.47,227.351 2074.01,231.769 2074.56,236.252 2075.1,240.799 2075.64,245.412 2076.18,250.088 2076.72,254.829 2077.27,259.633 \n",
       "  2077.81,264.501 2078.35,269.432 2078.89,274.426 2079.44,279.482 2079.98,284.601 2080.52,289.782 2081.06,295.024 2081.61,300.328 2082.15,305.693 2082.69,311.118 \n",
       "  2083.23,316.604 2083.77,322.15 2084.32,327.755 2084.86,333.42 2085.4,339.144 2085.94,344.926 2086.49,350.767 2087.03,356.665 2087.57,362.621 2088.11,368.634 \n",
       "  2088.66,374.704 2089.2,380.83 2089.74,387.013 2090.28,393.25 2090.82,399.543 2091.37,405.891 2091.91,412.293 2092.45,418.749 2092.99,425.259 2093.54,431.822 \n",
       "  2094.08,438.437 2094.62,445.105 2095.16,451.825 2095.7,458.596 2096.25,465.418 2096.79,472.29 2097.33,479.213 2097.87,486.185 2098.42,493.206 2098.96,500.276 \n",
       "  2099.5,507.394 2100.04,514.56 2100.59,521.773 2101.13,529.033 2101.67,536.34 2102.21,543.692 2102.75,551.09 2103.3,558.532 2103.84,566.019 2104.38,573.549 \n",
       "  2104.92,581.123 2105.47,588.74 2106.01,596.399 2106.55,604.1 2107.09,611.843 2107.64,619.626 2108.18,627.449 2108.72,635.312 2109.26,643.214 2109.8,651.155 \n",
       "  2110.35,659.134 2110.89,667.151 2111.43,675.204 2111.97,683.295 2112.52,691.421 2113.06,699.582 2113.6,707.778 2114.14,716.009 2114.69,724.273 2115.23,732.571 \n",
       "  2115.77,740.901 2116.31,749.263 2116.85,757.656 2117.4,766.08 2117.94,774.535 2118.48,783.019 2119.02,791.532 2119.57,800.074 2120.11,808.644 2120.65,817.241 \n",
       "  2121.19,825.865 2121.74,834.515 2122.28,843.19 2122.82,851.891 2123.36,860.616 2123.9,869.364 2124.45,878.136 2124.99,886.93 2125.53,895.746 2126.07,904.583 \n",
       "  2126.62,913.441 2127.16,922.319 2127.7,931.217 2128.24,940.133 2128.79,949.067 2129.33,958.019 2129.87,966.988 2130.41,975.973 2130.95,984.974 2131.5,993.99 \n",
       "  2132.04,1003.02 2132.58,1012.06 2133.12,1021.12 2133.67,1030.19 2134.21,1039.27 2134.75,1048.37 2135.29,1057.47 2135.84,1066.58 2136.38,1075.7 2136.92,1084.83 \n",
       "  2137.46,1093.97 2138,1103.12 2138.55,1112.27 2139.09,1121.43 2139.63,1130.6 2140.17,1139.77 2140.72,1148.94 2141.26,1158.12 2141.8,1167.3 2142.34,1176.48 \n",
       "  2142.89,1185.66 2143.43,1194.84 2143.97,1204.03 2144.51,1213.21 2145.05,1222.4 2145.6,1231.58 2146.14,1240.75 2146.68,1249.93 2147.22,1259.1 2147.77,1268.27 \n",
       "  2148.31,1277.43 2148.85,1286.59 2149.39,1295.74 2149.94,1304.88 2150.48,1314.01 2151.02,1323.14 2151.56,1332.26 2152.1,1341.37 2152.65,1350.46 2153.19,1359.55 \n",
       "  2153.73,1368.63 2154.27,1377.69 2154.82,1386.74 2155.36,1395.78 2155.9,1404.8 2156.44,1413.81 2156.99,1422.8 2157.53,1431.77 2158.07,1440.73 2158.61,1442.84 \n",
       "  2159.15,1433.92 2159.7,1425.02 2160.24,1416.13 2160.78,1407.26 2161.32,1398.42 2161.87,1389.6 2162.41,1380.8 2162.95,1372.02 2163.49,1363.26 2164.03,1354.53 \n",
       "  2164.58,1345.82 2165.12,1337.14 2165.66,1328.48 2166.2,1319.85 2166.75,1311.25 2167.29,1302.67 2167.83,1294.13 2168.37,1285.61 2168.92,1277.12 2169.46,1268.66 \n",
       "  2170,1260.23 2170.54,1251.83 2171.08,1243.47 2171.63,1235.14 2172.17,1226.84 2172.71,1218.57 2173.25,1210.34 2173.8,1202.14 2174.34,1193.98 2174.88,1185.85 \n",
       "  2175.42,1177.76 2175.97,1169.71 2176.51,1161.7 2177.05,1153.72 2177.59,1145.79 2178.13,1137.89 2178.68,1130.03 2179.22,1122.22 2179.76,1114.44 2180.3,1106.71 \n",
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       "  2186.27,1024.56 2186.81,1017.37 2187.35,1010.23 2187.9,1003.13 2188.44,996.093 2188.98,989.101 2189.52,982.161 2190.07,975.271 2190.61,968.434 2191.15,961.649 \n",
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       "  2197.12,890.595 2197.66,884.474 2198.2,878.411 2198.74,872.406 2199.28,866.46 2199.83,860.574 2200.37,854.748 2200.91,848.982 2201.45,843.277 2202,837.632 \n",
       "  2202.54,832.05 2203.08,826.529 2203.62,821.071 2204.17,815.675 2204.71,810.342 2205.25,805.073 2205.79,799.867 2206.33,794.725 2206.88,789.648 2207.42,784.636 \n",
       "  2207.96,779.689 2208.5,774.808 2209.05,769.992 2209.59,765.242 2210.13,760.559 2210.67,755.943 2211.22,751.394 2211.76,746.912 2212.3,742.498 2212.84,738.152 \n",
       "  2213.38,733.874 2213.93,729.665 2214.47,725.524 2215.01,721.453 2215.55,717.451 2216.1,713.519 2216.64,709.657 2217.18,705.865 2217.72,702.143 2218.27,698.492 \n",
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       "  2224.23,663.053 2224.77,660.266 2225.32,657.552 2225.86,654.911 2226.4,652.344 2226.94,649.85 2227.48,647.43 2228.03,645.084 2228.57,642.812 2229.11,640.614 \n",
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       "  2245.92,609.579 2246.46,609.776 2247.01,610.048 2247.55,610.393 2248.09,610.813 2248.63,611.307 2249.18,611.875 2249.72,612.516 2250.26,613.232 2250.8,614.02 \n",
       "  2251.35,614.883 2251.89,615.818 2252.43,616.826 2252.97,617.908 2253.51,619.062 2254.06,620.289 2254.6,621.588 2255.14,622.959 2255.68,624.402 2256.23,625.917 \n",
       "  2256.77,627.503 2257.31,629.161 2257.85,630.89 2258.4,632.69 2258.94,634.56 2259.48,636.501 2260.02,638.512 2260.56,640.593 2261.11,642.744 2261.65,644.964 \n",
       "  2262.19,647.253 2262.73,649.611 2263.28,652.037 2263.82,654.532 2264.36,657.095 2264.9,659.725 2265.45,662.423 2265.99,665.187 2266.53,668.019 2267.07,670.916 \n",
       "  2267.61,673.88 2268.16,676.91 2268.7,680.005 2269.24,683.165 2269.78,686.389 2270.33,689.678 2270.87,693.031 2271.41,696.447 2271.95,699.926 2272.5,703.468 \n",
       "  2273.04,707.073 2273.58,710.74 2274.12,714.468 2274.66,718.257 2275.21,722.107 2275.75,726.017 2276.29,729.988 2276.83,734.017 2277.38,738.106 2277.92,742.254 \n",
       "  2278.46,746.459 2279,750.722 2279.55,755.043 2280.09,759.42 2280.63,763.854 2281.17,768.343 2281.71,772.888 2282.26,777.487 2282.8,782.141 2283.34,786.849 \n",
       "  2283.88,791.61 2284.43,796.424 2284.97,801.291 2285.51,806.209 2286.05,811.179 2286.6,816.199 2287.14,821.27 2287.68,826.39 2288.22,831.56 2288.76,836.778 \n",
       "  2289.31,842.045 \n",
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      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rzeta(x) = abs(zeta(0.5+x*im))\n",
    "plot(1.0:0.01:40.0, rzeta)"
   ]
  }
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