#The imaginary part of the first 355 roots of Zeta(s) (with positive omaginary part), to get all of them one needs to also take #the complex conjugate, i.e. the list below with minus sign (thanks to Ahshan Khan for pointing this out) Z355:= [14.134725142, 21.022039639, 25.010857580, 30.424876126, 32.935061588, 37.586178159, 40.918719012, 43.327073281, 48.005150881, 49.773832478, 52.970321478, 56.446247697, 59.347044003, 60.831778525, 65.112544048, 67.079810529, 69.546401711, 72.067157674, 75.704690699, 77.144840069, 79.337375020, 82.910380854, 84.735492981, 87.425274613, 88.809111208, 92.491899271, 94.651344041, 95.870634228, 98.831194218, 101.317851006, 103.725538040, 105.446623052, 107.168611184, 111.029535543, 111.874659177, 114.320220915, 116.226680321, 118.790782866, 121.370125002, 122.946829294, 124.256818554, 127.516683880, 129.578704200, 131.087688531, 133.497737203, 134.756509753, 138.116042055, 139.736208952, 141.123707404, 143.111845808, 146.000982487, 147.422765343, 150.053520421, 150.925257612, 153.024693811, 156.112909294, 157.597591818, 158.849988171, 161.188964138, 163.030709687, 165.537069188, 167.184439978, 169.094515416, 169.911976479, 173.411536520, 174.754191523, 176.441434298, 178.377407776, 179.916484020, 182.207078484, 184.874467848, 185.598783678, 187.228922584, 189.416158656, 192.026656361, 193.079726604, 195.265396680, 196.876481841, 198.015309676, 201.264751944, 202.493594514, 204.189671803, 205.394697202, 207.906258888, 209.576509717, 211.690862595, 213.347919360, 214.547044783, 216.169538508, 219.067596349, 220.714918839, 221.430705555, 224.007000255, 224.983324670, 227.421444280, 229.337413306, 231.250188700, 231.987235253, 233.693404179, 236.524229666, 237.769820481, 239.555477573, 241.049157796, 242.823271934, 244.070898497, 247.136990075, 248.101990060, 249.573689645, 251.014947795, 253.069986748, 255.306256455, 256.380713694, 258.610439492, 259.874406990, 260.805084505, 263.573893905, 265.557851839, 266.614973782, 267.921915083, 269.970449024, 271.494055642, 273.459609188, 275.587492649, 276.452049503, 278.250743530, 279.229250928, 282.465114765, 283.211185733, 284.835963981, 286.667445363, 287.911920501, 289.579854929, 291.846291329, 293.558434139, 294.965369619, 295.573254879, 297.979277062, 299.840326054, 301.649325462, 302.696749590, 304.864371341, 305.728912602, 307.219496128, 310.109463147, 311.165141530, 312.427801181, 313.985285731, 315.475616089, 317.734805942, 318.853104256, 321.160134309, 322.144558672, 323.466969558, 324.862866052, 327.443901262, 329.033071680, 329.953239728, 331.474467583, 333.645378525, 334.211354833, 336.841850428, 338.339992851, 339.858216725, 341.042261111, 342.054877510, 344.661702940, 346.347870566, 347.272677584, 349.316260871, 350.408419349, 351.878649025, 353.488900489, 356.017574977, 357.151302252, 357.952685102, 359.743754953, 361.289361696, 363.331330579, 364.736024114, 366.212710288, 367.993575482, 368.968438096, 370.050919212, 373.061928372, 373.864873911, 375.825912767, 376.324092231, 378.436680250, 379.872975347, 381.484468617, 383.443529450, 384.956116815, 385.861300846, 387.222890222, 388.846128354, 391.456083564, 392.245083340, 393.427743844, 395.582870011, 396.381854223, 397.918736210, 399.985119876, 401.839228601, 402.861917764, 404.236441800, 405.134387460, 407.581460387, 408.947245502, 410.513869193, 411.972267804, 413.262736070, 415.018809755, 415.455214996, 418.387705790, 419.861364818, 420.643827625, 422.076710059, 423.716579627, 425.069882494, 427.208825084, 428.127914077, 430.328745431, 431.301306931, 432.138641735, 433.889218481, 436.161006433, 437.581698168, 438.621738656, 439.918442214, 441.683199201, 442.904546303, 444.319336278, 446.860622696, 447.441704194, 449.148545685, 450.126945780, 451.403308445, 453.986737807, 454.974683769, 456.328426689, 457.903893064, 459.513415281, 460.087944422, 462.065367275, 464.057286911, 465.671539211, 466.570286931, 467.439046210, 469.536004559, 470.773655478, 472.799174662, 473.835232345, 475.600339369, 476.769015237, 478.075263767, 478.942181535, 481.830339376, 482.834782791, 483.851427212, 485.539148129, 486.528718262, 488.380567090, 489.661761578, 491.398821594, 493.314441582, 493.957997805, 495.358828822, 496.429696216, 498.580782430, 500.309084942, 501.604446965, 502.276270327, 504.499773313, 505.415231742, 506.464152710, 508.800700336, 510.264227944, 511.562289700, 512.623144531, 513.668985555, 515.435057167, 517.589668572, 518.234223148, 520.106310412, 521.525193449, 522.456696178, 523.960530892, 525.077385687, 527.903641601, 528.406213852, 529.806226319, 530.866917884, 532.688183028, 533.779630754, 535.664314076, 537.069759083, 538.428526176, 540.213166376, 540.631390247, 541.847437121, 544.323890101, 545.636833249, 547.010912058, 547.931613364, 549.497567563, 550.970010039, 552.049572201, 553.764972119, 555.792020562, 556.899476407, 557.564659172, 559.316237029, 560.240807497, 562.559207616, 564.160879111, 564.506055938, 566.698787683, 567.731757901, 568.923955180, 570.051114782, 572.419984132, 573.614610527, 575.093886014, 575.807247141, 577.039003472, 579.098834672, 580.136959362, 581.946576266, 583.236088219, 584.561705903, 585.984563205, 586.742771891, 588.139663266, 590.660397517, 591.725858065, 592.571358300, 593.974714682, 595.728153697, 596.362768328, 598.493077346, 599.545640364, 601.602136736, 602.579167886, 603.625618904, 604.616218494, 606.383460422, 608.413217311, 609.389575155, 610.839162938, 611.774209621, 613.599778676, 614.646237872, 615.538563369, 618.112831366, 619.184482598]: