# Howell Oct07 - Solar insolation calculations using the QNial programming language adaptation of: # Ivanka Charvatova, Jaroslav Strestik 2004 "Periodicities between 6 and 16 years # in surface air temperature in possible relation to solar inertial motion" # Journal of Atmospheric and Solar-Terrestrial Physics 66 (2004) pp219-227 # J. Laskar, P. Robutel, F. Joutel, M. Gastineau, A.C.M. Correia, B. Levrard 2004 # "A long term numerical solution for the insolation quantities of the Earth" # Astronomy & Astrophysics manuscript no. La-2004 May 23, 2004 # http://www.imcce.fr/fr/presentation/equipes/ASD/preprints/prep.2004/La_2004_prep.pdf # Jon.Giorgini@jpl.nasa.gov http://ssd.jpl.nasa.gov/ # Sun-barycenter movements effect on the Earth-sun distance # NASA JPL Ephemeris data by Horizons On-Line Ephemeris System # NOTES/WARNINGS: # 1. rEarthSun should be relatively accurate, based on NASA-JPL Ephemeris calcs via Horizon program. # 2. There is no guarantee that I have made the correct "simplifying assumptions" # in grafting te sun-earth distances from the NASA-JPL Ephemeris program onto # the longer-term Milankovic results of Laskar etal. # 3. The Sun-Earth angles for insolation have NOT been corrected for barycenter-sun displacements # 4. There is a 10-day "shift" in timing for the monthly averages, which # start at the begining of the months, instead of at the 10th of each month # in order to include the equinoxes and solistices as mid-points for monthky averages. # 5. There is also an aparent difference between averages in these # sun-barycenter results as compared to earlier long-term Milankovic results # done for each 1 ky time delta. The differences may exceed timing differences # related to the start day of each month. # Solar constant assumed : 1368.0000000 # Latitude of calculations : 16 # Solar insolation average for each month (W/m2, roughly the 21st to 20th of first/second month): kyCE, 1 Dec-Jan, 2 Jan-Feb, 3 Feb-Mar, 4 Mar-Apr, 5 Apr-May, 6 May-Jun, 7 Jun-Jul, 8 Jul-Aug, 9 Aug-Sep, 10 Sep-Oct, 11 Oct-Nov, 12 Nov-Dec -2999.0000000, 321.5831310, 349.4119089, 388.5197455, 420.5324882, 438.7423021, 447.3818120, 454.0381427, 457.6441325, 446.0205388, 410.5146807, 360.9802138, 323.7122558, -2998.0000000, 320.4973518, 349.0024634, 388.9845118, 421.9049380, 440.7804063, 449.6418593, 456.0094602, 458.8409384, 446.1355107, 409.6345374, 359.5397195, 322.1411704, -2997.0000000, 319.0285199, 347.8398066, 388.4254901, 422.2035722, 441.9715451, 451.5087722, 458.1594394, 460.7706847, 447.3438381, 409.8753781, 358.9561584, 321.0475176, -2996.0000000, 317.6429207, 346.3342253, 387.0899725, 421.4084442, 441.9939939, 452.4147416, 459.7955004, 462.7772492, 449.1923274, 411.0828975, 359.3522964, 320.7479384, -2995.0000000, 316.7900521, 345.0184211, 385.4950818, 419.8768220, 440.9204722, 452.0997560, 460.3663983, 464.1439240, 450.9917668, 412.7774888, 360.5322482, 321.3009251, -2994.0000000, 316.7411449, 344.3550918, 384.2393090, 418.2182054, 439.2109027, 450.7392369, 459.6960925, 464.3699756, 452.0592418, 414.3073046, 362.0357049, 322.4807821, -2993.0000000, 317.4958640, 344.5774779, 383.7888725, 417.0676337, 437.5363433, 448.8792656, 458.0615075, 463.3745139, 451.9801645, 415.0821347, 363.2919781, 323.8473617, -2992.0000000, 318.7763656, 345.6033142, 384.3038772, 416.8365218, 436.4979389, 447.1900784, 456.0516761, 461.5116313, 450.7738662, 414.8192082, 363.8623411, 324.9428850, -2991.0000000, 320.1730515, 347.1228119, 385.6479015, 417.6239260, 436.4388930, 446.2049392, 454.2849033, 459.3365274, 448.7733897, 413.5493727, 363.5280708, 325.4104404, -2990.0000000, 321.2686710, 348.7172470, 387.4855003, 419.2722680, 437.4395706, 446.2457934, 453.2748546, 457.4483199, 446.5027394, 411.5732274, 362.3228124, 325.0695403, -2989.0000000, 321.7306978, 349.9527405, 389.3625726, 421.4188751, 439.3272426, 447.3816823, 453.3327141, 456.3458227, 444.5237348, 409.3526036, 360.4978678, 323.9468862, -2988.0000000, 321.3865562, 350.4809554, 390.8103865, 423.5813359, 441.7284503, 449.4411752, 454.5350885, 456.3477876, 443.3198333, 407.3911655, 358.4390821, 322.2468766, -2987.0000000, 320.2453481, 350.1028139, 391.4340276, 425.2465866, 444.1392325, 452.0552797, 456.7371318, 457.5741789, 443.2465900, 406.1691658, 356.6099032, 320.3222795, -2986.0000000, 318.5047104, 348.8123190, 390.9799788, 425.9351827, 445.9596029, 454.6492865, 459.5236840, 459.8665777, 444.4346135, 406.0441655, 355.4691251, 318.6261907, -2985.0000000, 316.5526386, 346.8654681, 389.4770177, 425.3869491, 446.6721665, 456.5673954, 462.2573377, 462.7599977, 446.7009459, 407.1263183, 355.3348537, 317.5830395, -2984.0000000, 314.8589358, 344.7163499, 387.2507165, 423.6683658, 446.0158500, 457.2577421, 464.2208137, 465.5510516, 449.5398245, 409.2123977, 356.2887075, 317.4809576, -2983.0000000, 313.8650326, 342.9212129, 384.8793909, 421.2226302, 444.1427024, 456.5021195, 464.8562344, 467.4796677, 452.2042928, 411.7666245, 358.0854057, 318.3373702, -2982.0000000, 313.8135630, 341.9381573, 382.9959659, 418.7361727, 441.6131017, 454.5661060, 464.0384716, 468.0485651, 453.9809755, 414.0930505, 360.2177977, 319.8783044, -2981.0000000, 314.6537545, 341.9528645, 382.0369433, 416.8494394, 439.1434035, 452.0664431, 462.1148104, 467.2262834, 454.4808220, 415.6139384, 362.1227701, 321.6657201, -2980.0000000, 316.1007541, 342.8652352, 382.1385568, 415.9555449, 437.3327438, 449.6875569, 459.6910776, 465.3680537, 453.7028885, 416.0183627, 363.3413847, 323.2323406, -2979.0000000, 317.7406981, 344.3611475, 383.1589787, 416.1526265, 436.5371029, 447.9941382, 457.4298979, 463.0701140, 452.0022868, 415.3398661, 363.6507723, 324.2195242, -2978.0000000, 319.1571867, 346.0202820, 384.7528250, 417.2635608, 436.8137054, 447.2906352, 455.8375877, 460.9298443, 449.8969142, 413.8658653, 363.0729610, 324.4462682, -2977.0000000, 320.0314323, 347.4340914, 386.4944561, 418.9469882, 437.9996110, 447.6478506, 455.2249943, 459.4438169, 447.9375538, 412.0330469, 361.8268302, 323.9122851, -2976.0000000, 320.1780539, 348.2595823, 387.9363717, 420.7483893, 439.7459796, 448.9122921, 455.6833449, 458.9458628, 446.6199641, 410.3470328, 360.2876641, 322.8053161, -2975.0000000, 319.5919979, 348.2928419, 388.6899874, 422.1657240, 441.5535699, 450.7066217, 457.0485624, 459.5340301, 446.2821374, 409.2745358, 358.9062731, 321.4672577, -2974.0000000, 318.4679489, 347.5425656, 388.5413732, 422.7788303, 442.8827569, 452.4973179, 458.9178696, 461.0372346, 447.0281116, 409.1415979, 358.1073636, 320.3144725, -2973.0000000, 317.1564429, 346.2350086, 387.5117783, 422.3512354, 443.2633725, 453.6781034, 460.6850366, 462.9956438, 448.6620695, 410.0416767, 358.1955179, 319.7599928, -2972.0000000, 316.1166698, 344.8184381, 385.9368028, 420.9867017, 442.4979929, 453.7682027, 461.6828208, 464.7126850, 450.6412236, 411.7113489, 359.1911521, 320.0381532, -2971.0000000, 315.7420504, 343.8081133, 384.3725534, 419.1443213, 440.8057520, 452.6600657, 461.4765071, 465.5224189, 452.2554633, 413.5984088, 360.8043554, 321.1124835, -2970.0000000, 316.2160682, 343.5965298, 383.3862057, 417.4638087, 438.7449373, 450.6776939, 460.0514671, 465.0534486, 452.8848260, 415.0430203, 362.5179803, 322.6756273, -2969.0000000, 317.4427560, 344.3142007, 383.3512088, 416.5244063, 436.9921372, 448.4425969, 457.8167243, 463.3785212, 452.2426767, 415.5246116, 363.7723849, 324.2574203, -2968.0000000, 319.0858475, 345.7975278, 384.3331751, 416.6494227, 436.0916529, 446.6206707, 455.4185396, 460.9591151, 450.4709384, 414.8563011, 364.1773799, 325.4056958, -2967.0000000, 320.7081241, 347.6804846, 386.1161135, 417.8469498, 436.3028485, 445.6895569, 453.4659225, 458.3954805, 447.9890120, 413.1634980, 363.5859509, 325.8021717, -2966.0000000, 321.9009779, 349.5259286, 388.3214921, 419.8977766, 437.6369341, 445.9090634, 452.4335426, 456.2852781, 445.3604739, 410.8110463, 362.0941023, 325.3099423, -2965.0000000, 322.3522113, 350.8957863, 390.4663702, 422.3897664, 439.8593194, 447.2843437, 452.5788206, 455.0978324, 443.1535877, 408.3004079, 360.0079140, 324.0071049, -2964.0000000, 321.9276853, 351.4611880, 392.0780070, 424.8136051, 442.5525089, 449.5907935, 453.9249915, 455.1105114, 441.8354174, 406.1495333, 357.7504209, 322.1442777, -2963.0000000, 320.6808878, 351.0561408, 392.7733962, 426.6416427, 445.1734068, 452.4023744, 456.2611883, 456.3797295, 441.7155265, 404.8224717, 355.7996261, 320.1111406, -2962.0000000, 318.8599569, 349.7296811, 392.3456245, 427.4196166, 447.1190607, 455.1138516, 459.1192652, 458.6809776, 442.8604240, 404.6320214, 354.5989208, 318.3739660, -2961.0000000, 316.8901769, 347.7945642, 390.8891851, 426.9449572, 447.9052756, 457.0688568, 461.8250963, 461.4807080, 445.0010315, 405.6074070, 354.4094936, 317.3307366, -2960.0000000, 315.2460143, 345.7429354, 388.8000299, 425.3753644, 447.3632799, 457.7882188, 463.6979905, 464.0656266, 447.5771965, 407.4651729, 355.2322121, 317.2045251, -2959.0000000, 314.3258746, 344.1169517, 386.6800661, 423.2177288, 445.7398782, 457.1615224, 464.2775423, 465.7374028, 449.8494720, 409.6250833, 356.7473970, 317.9305760, -2958.0000000, 314.2936594, 343.3083624, 385.1225408, 421.1603883, 443.6468805, 455.5519783, 463.5674569, 466.1308032, 451.2029212, 411.4307004, 358.4312365, 319.1813902, -2957.0000000, 315.0228393, 343.4140594, 384.4760385, 419.7763730, 441.7724974, 453.5998980, 461.9934619, 465.3355657, 451.3785919, 412.4009346, 359.7621076, 320.5104042, -2956.0000000, 316.1816190, 344.2563604, 384.7794565, 419.3595559, 440.6351820, 451.9464697, 460.1716011, 463.7787125, 450.4947447, 412.3509641, 360.3738997, 321.4957119, -2955.0000000, 317.3571358, 345.4818289, 385.8178929, 419.9145868, 440.4941563, 451.0736394, 458.7136306, 462.0557986, 448.9633390, 411.4095188, 360.1397402, 321.8478231, -2954.0000000, 318.1654971, 346.6618499, 387.1970111, 421.1842666, 441.3121674, 451.1942258, 458.0527887, 460.7269425, 447.3171415, 409.9299928, 359.1736795, 321.4742157, -2953.0000000, 318.3547073, 347.4200660, 388.4790321, 422.7726332, 442.8432987, 452.2854699, 458.4108093, 460.2191441, 446.0752096, 408.3674327, 357.7546944, 320.4538728, -2952.0000000, 317.8172201, 347.4703838, 389.2325477, 424.1918271, 444.6653913, 454.0999525, 459.7822307, 460.7817536, 445.6778891, 407.2162455, 356.2933097, 319.0447449, -2951.0000000, 316.6383004, 346.7002477, 389.1331297, 424.9521161, 446.2348961, 456.1746528, 461.8986947, 462.4108167, 446.3811518, 406.8962249, 355.2369153, 317.6274288, -2950.0000000, 315.0879679, 345.2191053, 388.0656721, 424.6929422, 447.0079904, 457.9095825, 464.2497799, 464.8137299, 448.1785999, 407.6532960, 354.9716595, 316.6248962, -2949.0000000, 313.5703038, 343.3540887, 386.1838848, 423.3031211, 446.5890440, 458.6992179, 466.1619154, 467.4197107, 450.7506694, 409.4707256, 355.7222739, 316.4076927, -2948.0000000, 312.5449462, 341.6074148, 383.9342924, 421.0320217, 444.9145972, 458.1395794, 466.9662138, 469.4608102, 453.4436543, 411.9684208, 357.4085975, 317.1339346, -2947.0000000, 312.3584521, 340.4908287, 381.9320602, 418.4638568, 442.3678956, 456.2774148, 466.3266723, 470.2926721, 455.5016335, 414.5108672, 359.6472459, 318.6767009, -2946.0000000, 313.1112463, 340.3313707, 380.7190569, 416.2756002, 439.6097810, 453.5792783, 464.3676363, 469.6378459, 456.3356078, 416.4169707, 361.8699692, 320.6626245, -2945.0000000, 314.6308576, 341.1773521, 380.5973866, 415.0126887, 437.3426229, 450.7536802, 461.6233671, 467.6932882, 455.7463238, 417.2051885, 363.5180155, 322.5970932, -2944.0000000, 316.5355117, 342.7983867, 381.5514605, 414.9226289, 436.0664332, 448.4724603, 458.7964912, 465.0067120, 453.9592794, 416.7461696, 364.2294027, 324.0334372, -2943.0000000, 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448.6854641, 435.4247914, 404.5143933, 361.8583207, 328.0308403, 1848.0000000, 325.4413308, 356.2067478, 399.3142304, 432.0900749, 446.5704602, 449.0463887, 448.9844596, 447.0756903, 434.6454754, 404.6857320, 362.7552074, 329.2997629, 1849.0000000, 326.8435036, 357.5581949, 400.3234730, 432.4342198, 446.0916420, 447.8225358, 447.2732395, 445.2652004, 433.1940869, 403.9431841, 362.7824803, 329.9263466, 1850.0000000, 327.8952147, 358.9071278, 401.7371061, 433.5558072, 446.6030176, 447.5772180, 446.3092195, 443.7904335, 431.5840163, 402.6325770, 362.0521414, 329.8126864, 1851.0000000, 328.3359497, 359.8672983, 403.1086286, 435.0561275, 447.8609494, 448.2863596, 446.3004486, 443.0515326, 430.3051558, 401.1911846, 360.8373005, 329.0346415, 1852.0000000, 328.0549757, 360.1511906, 404.0101465, 436.4608107, 449.4659228, 449.7236327, 447.2475019, 443.2814312, 429.7655853, 400.0822808, 359.5269077, 327.8322183, 1853.0000000, 327.1184234, 359.6280470, 404.1058696, 437.2851617, 450.9008810, 451.4650653, 448.9159773, 444.4898147, 430.2128279, 399.7094272, 358.5560523, 326.5740659, 1854.0000000, 325.7785211, 358.3847516, 403.2595081, 437.1617992, 451.6427966, 452.9583049, 450.8529926, 446.4296072, 431.6612551, 400.3207703, 358.3079473, 325.6762452, 1855.0000000, 324.4218018, 356.7179227, 401.5832102, 435.9391321, 451.2786366, 453.6175059, 452.4357489, 448.5900990, 433.8382238, 401.9288918, 359.0292052, 325.5281770, 1856.0000000, 323.5186850, 355.1270934, 399.5017435, 433.8268213, 449.7061620, 453.0261434, 453.0204082, 450.2542531, 436.1399940, 404.1867413, 360.6643599, 326.3151898, 1857.0000000, 323.4443235, 354.1486240, 397.6409716, 431.3934757, 447.2697832, 451.1925838, 452.2569091, 450.7919541, 437.8338575, 406.4699860, 362.8329758, 327.9206554, 1858.0000000, 324.3229401, 354.1460205, 396.5848176, 429.3462264, 444.6353837, 448.5707696, 450.2613095, 449.9371791, 438.3504751, 408.1009056, 364.9491013, 329.9513148, 1859.0000000, 325.9736033, 355.1748301, 396.6581763, 428.2574855, 442.5192339, 445.8654593, 447.5602528, 447.8935559, 437.5124292, 408.6094762, 366.4381367, 331.8816457, 1860.0000000, 327.9849999, 356.9837595, 397.8394206, 428.3823508, 441.4301010, 443.7479312, 444.8511273, 445.2160763, 435.5749895, 407.9015141, 366.9510442, 333.2511056, 1861.0000000, 329.8777710, 359.1371071, 399.8238729, 429.6378419, 441.5487009, 442.6406271, 442.7220879, 442.5295797, 433.0296257, 406.1957177, 366.4143580, 333.7775122, 1862.0000000, 331.2459468, 361.1687703, 402.1754877, 431.7294513, 442.8044315, 442.7232624, 441.5801937, 440.3932872, 430.4471338, 403.9075857, 364.9890023, 333.3751904, 1863.0000000, 331.8075020, 362.6466569, 404.3899172, 434.2008676, 444.9026385, 443.9299516, 441.6073113, 439.2103450, 428.3606372, 401.5483305, 363.0236235, 332.1717487, 1864.0000000, 331.4711670, 363.2711375, 406.0029722, 436.5298494, 447.3942518, 445.9868219, 442.7617675, 439.1853945, 427.1762254, 399.6114507, 360.9563506, 330.4540092, 1865.0000000, 330.3327031, 362.9173568, 406.6625226, 438.2038797, 449.7346668, 448.4473261, 444.7894006, 440.3114827, 427.1366733, 398.5157764, 359.2556850, 328.6281909, 1866.0000000, 328.6710545, 361.6747442, 406.2040559, 438.8051000, 451.3468789, 450.7153403, 447.2071174, 442.3229216, 428.2505234, 398.5236978, 358.3420541, 327.1644543, 1867.0000000, 326.9327875, 359.8925764, 404.7690834, 438.1798003, 451.7914172, 452.1680028, 449.3519236, 444.6657037, 430.1989462, 399.6065282, 358.4376089, 326.4491112, 1868.0000000, 325.6033166, 358.0962433, 402.8073314, 436.5515575, 450.9696346, 452.3924461, 450.5917077, 446.6391685, 432.3891468, 401.4171643, 359.4811160, 326.6656094, 1869.0000000, 325.0654287, 356.8383562, 400.9604397, 434.4917467, 449.2116708, 451.3746342, 450.5606110, 447.6120550, 434.0938198, 403.3299068, 361.0792947, 327.6806346, 1870.0000000, 325.4317841, 356.4817274, 399.8229791, 432.7224622, 447.1936042, 449.5728796, 449.3831216, 447.3406197, 434.7782522, 404.6956068, 362.6546879, 329.0885909, 1871.0000000, 326.4951248, 357.0486932, 399.6870702, 431.7877209, 445.6068056, 447.6709691, 447.5768270, 446.0465023, 434.3160752, 405.1142212, 363.6937368, 330.3986807, 1872.0000000, 327.8517218, 358.2727100, 400.4981907, 431.8977673, 444.9061392, 446.2784402, 445.7751136, 444.2349203, 432.9498598, 404.5212997, 363.8997371, 331.2013767, 1873.0000000, 329.0591320, 359.7374830, 401.9548783, 432.9613325, 445.2564910, 445.7940676, 444.5344426, 442.4979143, 431.1527727, 403.1470364, 363.2371336, 331.2590892, 1874.0000000, 329.7454618, 360.9888626, 403.6047881, 434.6434021, 446.5333092, 446.3391352, 444.2021436, 441.3378841, 429.4556291, 401.4022487, 361.9031363, 330.5506515, 1875.0000000, 329.7034816, 361.6629405, 404.9881553, 436.4994406, 448.4249608, 447.8114529, 444.9103307, 441.0969557, 428.3266660, 399.7477810, 360.2277910, 329.2194666, 1876.0000000, 328.8828228, 361.5117573, 405.6835145, 438.0251584, 450.4740716, 449.9118436, 446.5844196, 441.9439707, 428.1370488, 398.6493388, 358.6405725, 327.5703569, 1877.0000000, 327.4233324, 360.4714900, 405.3958025, 438.7362535, 452.1242128, 452.1498870, 448.9112816, 443.8123162, 429.0750770, 398.4825679, 357.5862152, 326.0142780, 1878.0000000, 325.6429681, 358.7063176, 404.0561125, 438.2979459, 452.8380774, 453.9173225, 451.3561537, 446.3643114, 431.0745589, 399.4416424, 357.4307533, 324.9876305, 1879.0000000, 323.9834779, 356.5993205, 401.8793217, 436.6480114, 452.2504831, 454.6230926, 453.2433913, 449.0046995, 433.7669064, 401.4540324, 358.3624875, 324.8549166, 1880.0000000, 322.9265637, 354.7017717, 399.3803461, 434.1048552, 450.3542054, 453.9046309, 453.9297762, 450.9673353, 436.4671210, 404.0814953, 360.2446362, 325.7418613, 1881.0000000, 322.8151464, 353.5544001, 397.2361812, 431.3332913, 447.6143175, 451.8846505, 453.1461109, 451.6536856, 438.4232537, 406.6434691, 362.6231907, 327.4560014, 1882.0000000, 323.7027467, 353.4630163, 396.0017427, 429.0548542, 444.7565982, 449.1085302, 451.1080837, 450.8808650, 439.1149020, 408.4710287, 364.8888638, 329.5593967, 1883.0000000, 325.3492811, 354.4141809, 395.9350189, 427.7960744, 442.4879063, 446.3125020, 448.4074988, 448.9356452, 438.4442700, 409.1536141, 366.4976348, 331.5295555, 1884.0000000, 327.3217050, 356.1112084, 396.9494354, 427.7405134, 441.2562749, 444.1316933, 445.7368542, 446.3982155, 436.7132287, 408.6500025, 367.1461365, 332.9376543, 1885.0000000, 329.1558288, 358.1132085, 398.7125295, 428.7589078, 441.1886188, 442.9403355, 443.6524544, 443.8839059, 434.4274827, 407.2118357, 366.8038416, 333.5436462, 1886.0000000, 330.4804948, 359.9761641, 400.7900580, 430.5346425, 442.1728624, 442.8674520, 442.5117798, 441.9124303, 432.1350212, 405.2522305, 365.6470820, 333.2898967, 1887.0000000, 331.0485702, 361.3028706, 402.7023595, 432.6163902, 443.8980699, 443.8158953, 442.4597439, 440.8534207, 430.3455588, 403.2734496, 364.0312006, 332.3248755, 1888.0000000, 330.8016023, 361.8340930, 404.0220681, 434.5011090, 445.9089614, 445.4824556, 443.4111113, 440.8645044, 429.4257511, 401.7430232, 362.3854154, 330.9438022, 1889.0000000, 329.8608896, 361.4861349, 404.4453346, 435.7149937, 447.6747466, 447.4045518, 445.0721296, 441.8890880, 429.5721111, 401.0481930, 361.1643229, 329.5573919, 1890.0000000, 328.5296459, 360.3955969, 403.8741756, 435.9086392, 448.6641517, 448.9919608, 446.9238092, 443.5953624, 430.7183243, 401.3869746, 360.7455497, 328.6158415, 1891.0000000, 327.2584911, 358.9459349, 402.5190395, 435.0217114, 448.5282605, 449.6789865, 448.3080150, 445.3814461, 432.4632790, 402.6426742, 361.2796065, 328.4582587, 1892.0000000, 326.5113985, 357.6739224, 400.8861451, 433.3819920, 447.3017273, 449.1797297, 448.6755237, 446.5606778, 434.1595229, 404.3717984, 362.6008354, 329.1753632, 1893.0000000, 326.5949540, 357.0785336, 399.6033453, 431.6064537, 445.4238295, 447.6325660, 447.8163092, 446.6143694, 435.1177796, 405.9142679, 364.2390469, 330.5422328, 1894.0000000, 327.5264421, 357.4285619, 399.1873859, 430.3809852, 443.5994601, 445.5965857, 446.0094864, 445.4650297, 434.9279250, 406.6720150, 365.5994014, 332.0929931, 1895.0000000, 329.0126569, 358.6406587, 399.8144271, 430.1445910, 442.4540763, 443.7528181, 443.8437761, 443.4653667, 433.6116413, 406.3579496, 366.2213339, 333.3372370, 1896.0000000, 330.6129118, 360.3816225, 401.3391933, 431.0049527, 442.3481469, 442.6489868, 441.9455712, 441.1787539, 431.5189428, 405.0217135, 365.8891388, 333.9020084, 1897.0000000, 331.8836818, 362.2020153, 403.3989914, 432.7882570, 443.3545019, 442.5984896, 440.8136515, 439.1882714, 429.1690733, 402.9744968, 364.6475673, 333.6048348, 1898.0000000, 332.4781080, 363.6448545, 405.5140937, 435.1132299, 445.2897997, 443.6594607, 440.7398296, 437.9656203, 427.1032402, 400.6769572, 362.7602677, 332.4822304, 1899.0000000, 332.2247904, 364.3557543, 407.2075213, 437.4959815, 447.7884537, 445.6680473, 441.7947206, 437.8042036, 425.7698353, 398.6083674, 360.6042543, 330.7324318, 1900.0000000, 331.1206802, 364.1164649, 408.0635192, 439.4142936, 450.3580036, 448.2797757, 443.8535374, 438.8263834, 425.5113742, 397.2360997, 358.6408069, 328.7103185, 1901.0000000, 329.3595656, 362.9080410, 407.8090794, 440.3767180, 452.4094778, 450.9540718, 446.5422059, 440.9008953, 426.4609447, 396.9059485, 357.3187657, 326.8608297, 1902.0000000, 327.3140850, 360.9583561, 406.4316283, 440.0814317, 453.4086567, 453.0580659, 449.2783372, 443.6264936, 428.4844221, 397.7574483, 356.9783428, 325.6275221, 1903.0000000, 325.4638396, 358.7146953, 404.2248489, 438.5400891, 453.0414763, 454.0197240, 451.3697791, 446.3555702, 431.1333327, 399.6301945, 357.7349018, 325.3315635, 1904.0000000, 324.2805506, 356.7552155, 401.7670037, 436.1596010, 451.3959287, 453.5607725, 452.2324847, 448.3430406, 433.6974079, 402.0217163, 359.3712281, 326.0230725, 1905.0000000, 324.0490049, 355.5885328, 399.7393798, 433.6492754, 449.0154358, 451.9041377, 451.7042151, 449.0822861, 435.4760773, 404.2478402, 361.3826174, 327.4333542, 1906.0000000, 324.7357328, 355.4335494, 398.6249352, 431.6904841, 446.6282871, 449.6442069, 450.0934202, 448.5132982, 436.0715126, 405.7261287, 363.1915126, 329.1073458, 1907.0000000, 326.0477725, 356.1974062, 398.5877342, 430.7188952, 444.8713068, 447.4820932, 448.0032993, 446.9869363, 435.4913429, 406.1572241, 364.3351204, 330.5579816, 1908.0000000, 327.5444593, 357.5373188, 399.4636006, 430.8227480, 444.0962853, 445.9710006, 446.0739373, 445.0775191, 434.0885344, 405.5934611, 364.6092297, 331.4325602, 1909.0000000, 328.8038754, 359.0174679, 400.8871829, 431.8090918, 444.3486673, 445.3988919, 444.7834864, 443.3486478, 432.3611223, 404.3291547, 364.0576104, 331.5686258, 1910.0000000, 329.5163346, 360.2266247, 402.4194190, 433.3195042, 445.4479756, 445.8127746, 444.4051597, 442.2463161, 430.8143668, 402.7814969, 362.9057556, 330.9823754, 1911.0000000, 329.5126828, 360.8320825, 403.6141613, 434.8961630, 447.0417655, 447.0515650, 445.0095234, 442.0658508, 429.8981772, 401.4259415, 361.5247048, 329.8735895, 1912.0000000, 328.8065341, 360.6499162, 404.0987383, 436.0493888, 448.6430184, 448.7468139, 446.4281191, 442.8783890, 429.9041547, 400.6831455, 360.3365608, 328.5713922, 1913.0000000, 327.5886892, 359.6908446, 403.6643068, 436.3686399, 449.7322214, 450.3961669, 448.2915178, 444.5345188, 430.9381203, 400.8689689, 359.7584441, 327.4897134, 1914.0000000, 326.2083646, 358.1794398, 402.3266708, 435.6081026, 449.8348649, 451.4028577, 450.0164705, 446.6004060, 432.8197701, 402.0801013, 360.0962649, 327.0458449, 1915.0000000, 325.1285699, 356.5659824, 400.4175410, 433.8572724, 448.7351433, 451.2774434, 450.9469078, 448.4086713, 435.0398270, 404.0810080, 361.3969960, 327.5036406, 1916.0000000, 324.7731409, 355.3952235, 398.5155459, 431.5785197, 446.6324175, 449.8810853, 450.6211465, 449.2799413, 436.8855327, 406.3204675, 363.3776431, 328.8466132, 1917.0000000, 325.3590459, 355.1055731, 397.2407848, 429.4546976, 444.1018650, 447.5263427, 448.9952444, 448.8095212, 437.7051218, 408.1066954, 365.4947124, 330.7587027, 1918.0000000, 326.8038810, 355.8644676, 397.0266515, 428.1357330, 441.8811115, 444.8729041, 446.4921240, 447.0639825, 437.1893298, 408.8787896, 367.1364127, 332.7233615, 1919.0000000, 328.7411903, 357.4963109, 397.9482424, 427.9738196, 440.5507666, 442.6179086, 443.7789308, 444.5164961, 435.4825164, 408.4372671, 367.8823043, 334.2509888, 1920.0000000, 330.7023129, 359.6137609, 399.7831503, 428.9885863, 440.3933674, 441.2635681, 441.4840819, 441.7805631, 433.0145632, 406.9098004, 367.5688964, 334.9915335, 1921.0000000, 332.2421493, 361.7439334, 402.1228113, 430.9427546, 441.4129477, 441.0658640, 440.0770118, 439.4495834, 430.3522384, 404.6717641, 366.2978376, 334.8007659, 1922.0000000, 333.0337694, 363.4317774, 404.4701690, 433.4182335, 443.3750191, 442.0276634, 439.8037912, 437.9736113, 428.0467765, 402.2185858, 364.3747888, 333.7500568, 1923.0000000, 332.9291707, 364.3330619, 406.3421744, 435.9070062, 445.8733901, 443.9344775, 440.6857020, 437.6118702, 426.5387009, 400.0495799, 362.2136118, 332.0792557, 1924.0000000, 331.9639265, 364.2618798, 407.3434742, 437.8884937, 448.3946200, 446.4010977, 442.5455975, 438.4355387, 426.1354610, 398.6222906, 360.2896339, 330.1704934, 1925.0000000, 330.3659113, 363.2359037, 407.2340845, 438.8910934, 450.3477758, 448.8588072, 444.9584199, 440.2510742, 426.9147358, 398.2502526, 359.0473103, 328.4878411, 1926.0000000, 328.5441159, 361.5343922, 406.0631926, 438.6735987, 451.2417204, 450.6863015, 447.3152957, 442.5971963, 428.6660675, 399.0043432, 358.7817385, 327.4564757, 1927.0000000, 326.9844097, 359.6361764, 404.1824989, 437.3259335, 450.8443115, 451.3743684, 448.9473505, 444.8001389, 430.8738498, 400.6393184, 359.5324799, 327.3434312, 1928.0000000, 326.1285834, 358.1169699, 402.2031813, 435.3281729, 449.3503640, 450.7647593, 449.3735855, 446.1706771, 432.8197936, 402.5928110, 360.9982927, 328.1149384, 1929.0000000, 326.1863090, 357.4239381, 400.7701034, 433.3940663, 447.3593144, 449.1846777, 448.5636116, 446.3255264, 433.8793522, 404.1903555, 362.6313866, 329.4310331, 1930.0000000, 327.0398191, 357.6854534, 400.2811343, 432.1448276, 445.5848108, 447.2734308, 446.9312093, 445.3485876, 433.7935591, 404.9399577, 363.8810589, 330.8125017, 1931.0000000, 328.3365994, 358.7218367, 400.7953870, 431.9094431, 444.5768551, 445.6876462, 445.0953280, 443.6709194, 432.6917786, 404.6602307, 364.3608306, 331.7988626, 1932.0000000, 329.6209741, 360.1407177, 402.0714270, 432.6827923, 444.5935970, 444.9052727, 443.6594374, 441.8867354, 431.0046115, 403.5114441, 363.9641886, 332.0991180, 1933.0000000, 330.4925726, 361.4891387, 403.6912543, 434.1929341, 445.5890496, 445.1248458, 443.0302004, 440.5252479, 429.2483310, 401.8530693, 362.8184011, 331.6232485, 1934.0000000, 330.6880415, 362.3688155, 405.1922772, 436.0273043, 447.3106218, 446.3163634, 443.4105525, 439.9838795, 427.9181676, 400.1388637, 361.2182092, 330.4642514, 1935.0000000, 330.1033333, 362.4863846, 406.1303282, 437.6919274, 449.3426946, 448.2423397, 444.7933078, 440.4910572, 427.4238435, 398.8438146, 359.5729573, 328.8845695, 1936.0000000, 328.8216769, 361.7167954, 406.1612943, 438.6839467, 451.1482957, 450.4630330, 446.9330647, 442.0481307, 428.0075183, 398.3718646, 358.3262734, 327.2670797, 1937.0000000, 327.1095598, 360.1544143, 405.1439528, 438.6194701, 452.1845611, 452.4123694, 449.3738689, 444.4141299, 429.6947900, 398.9853901, 357.8788029, 326.0474454, 1938.0000000, 325.3727430, 358.1090418, 403.1888639, 437.3253793, 452.0025167, 453.4670159, 451.4654227, 447.0659894, 432.2142355, 400.7066255, 358.4918275, 325.6342332, 1939.0000000, 324.1045336, 356.1036403, 400.7362096, 435.0083774, 450.4760117, 453.1746699, 452.5308771, 449.2685712, 434.9620070, 403.2018765, 360.1296683, 326.2344744, 1940.0000000, 323.7037069, 354.6994023, 398.4309661, 432.2391963, 447.9265308, 451.4979167, 452.1645851, 450.3445252, 437.1811522, 405.8481625, 362.4294797, 327.7577120, 1941.0000000, 324.3263365, 354.2968384, 396.8950841, 429.7532793, 445.0255410, 448.8654812, 450.4296490, 449.9630405, 438.2488285, 407.9399707, 364.8036943, 329.8260222, 1942.0000000, 325.8178354, 354.9872445, 396.4968744, 428.1672473, 442.5221064, 445.9908584, 447.8299147, 448.2776620, 437.9278622, 408.9604776, 366.6548538, 331.9114404, 1943.0000000, 327.7782930, 356.5415776, 397.2455112, 427.7714637, 440.9573974, 443.5649705, 445.0603128, 445.8146744, 436.4258477, 408.7682091, 367.6038325, 333.5463424, 1944.0000000, 329.7397116, 358.5494975, 398.8716376, 428.5228003, 440.5502505, 442.0401523, 442.7226381, 443.1867324, 434.1947708, 407.5277793, 367.5303024, 334.4196937, 1945.0000000, 331.2872718, 360.5538923, 400.9622484, 430.1582345, 441.2646915, 441.6294325, 441.2503194, 440.9649373, 431.7956185, 405.6255881, 366.5590264, 334.4177955, 1946.0000000, 332.1262397, 362.1272770, 403.0333352, 432.2508968, 442.8368497, 442.2940194, 440.8456660, 439.5622481, 429.7547458, 403.5475748, 365.0019817, 333.6321122, 1947.0000000, 332.1398068, 362.9626722, 404.6344913, 434.3086767, 444.8542471, 443.7946697, 441.4956138, 439.2034140, 428.4869713, 401.7785351, 363.2722542, 332.3157086, 1948.0000000, 331.3906944, 362.9129391, 405.4113436, 435.8383073, 446.8049869, 445.7204936, 442.9781338, 439.9084260, 428.2535056, 400.7447648, 361.8305157, 330.8533976, 1949.0000000, 330.1280526, 362.0377261, 405.1816452, 436.4247027, 448.1323564, 447.5024525, 444.8345945, 441.4292222, 429.0750734, 400.7148041, 361.0956169, 329.7031596, 1950.0000000, 328.7756414, 360.6571854, 404.0631955, 435.9098336, 448.4162633, 448.5524433, 446.4393710, 443.2425235, 430.6544533, 401.6743266, 361.2972236, 329.2498747, 1951.0000000, 327.8051352, 359.2690135, 402.4698530, 434.4871088, 447.5466796, 448.4670847, 447.1813932, 444.6686234, 432.4132816, 403.2863861, 362.3838643, 329.6858041, 1952.0000000, 327.6034158, 358.4205006, 401.0269439, 432.7073223, 445.8416668, 447.2373158, 446.7139714, 445.0966656, 433.6348617, 404.9251202, 363.9592877, 330.8771914, 1953.0000000, 328.2841163, 358.4719258, 400.3175507, 431.2722725, 443.9572215, 445.3139384, 445.1714234, 444.3033962, 433.8007760, 405.9456582, 365.4415606, 332.4138841, 1954.0000000, 329.6396654, 359.4482349, 400.6338200, 430.7183176, 442.5704522, 443.3675998, 443.0689339, 442.5211045, 432.7992846, 405.9533639, 366.3110268, 333.7949405, 1955.0000000, 331.2597141, 361.0833535, 401.9269622, 431.2606037, 442.1353642, 442.0024649, 441.0373532, 440.2615992, 430.8856652, 404.8898070, 366.2620214, 334.5917370, 1956.0000000, 332.6818792, 362.9468108, 403.8908367, 432.8102613, 442.8197366, 441.6178283, 439.6352879, 438.1277631, 428.5538232, 403.0065595, 365.2691365, 334.5616880, 1957.0000000, 333.5195019, 364.5685610, 406.0638729, 435.0320724, 444.5030599, 442.3368613, 439.2073007, 436.6189606, 426.3379204, 400.7229295, 363.5339451, 333.6765596, 1958.0000000, 333.5464960, 365.5605044, 407.9678988, 437.4775038, 446.8832884, 444.0726704, 439.9001149, 436.0905326, 424.7213623, 398.5191745, 361.4033929, 332.0839519, 1959.0000000, 332.6999103, 365.6477364, 409.1509847, 439.6220739, 449.4995769, 446.5342669, 441.6496278, 436.7197074, 424.0842687, 396.8749853, 359.3234160, 330.1000828, 1960.0000000, 331.1176603, 364.7475082, 409.2869179, 440.9535323, 451.7843459, 449.2381285, 444.1591968, 438.4550992, 424.6262857, 396.1769752, 357.7522104, 328.1484265, 1961.0000000, 329.1217170, 363.0109501, 408.2754190, 441.1000015, 453.1767377, 451.5764282, 446.9137813, 440.9859049, 426.3045262, 396.6372516, 357.0729061, 326.6819790, 1962.0000000, 327.1651910, 360.8172706, 406.3032483, 439.9516312, 453.2646557, 452.9325687, 449.2394439, 443.7366734, 428.7744008, 398.2029891, 357.4913222, 326.0854606, 1963.0000000, 325.7513860, 358.7339830, 403.8836360, 437.7999335, 451.9990623, 452.9098917, 450.4848027, 445.9599589, 431.3792256, 400.4593540, 358.8854433, 326.4951981, 1964.0000000, 325.2350479, 357.3125651, 401.6932256, 435.2858278, 449.7970762, 451.5765569, 450.3450586, 447.0558541, 433.3949127, 402.7618074, 360.8306327, 327.7413812, 1965.0000000, 325.6909653, 356.8818990, 400.3061032, 433.1327237, 447.3580745, 449.4275881, 448.9820913, 446.8086839, 434.3003814, 404.4622550, 362.7408423, 329.4038145, 1966.0000000, 326.8937504, 357.4449855, 399.9988702, 431.8798863, 445.3832253, 447.1682627, 446.9390817, 445.4610031, 433.9801229, 405.1602867, 364.0945441, 330.9796732, 1967.0000000, 328.4245840, 358.7171252, 400.6978898, 431.7231245, 444.3237499, 445.4179043, 444.8711994, 443.5463741, 432.7035734, 404.8110024, 364.6062451, 332.0641942, 1968.0000000, 329.8403512, 360.2741762, 402.0842323, 432.5442070, 444.3118204, 444.5428140, 443.3074098, 441.6369495, 430.9317349, 403.6400696, 364.2436072, 332.4305913, 1969.0000000, 330.7879352, 361.6886711, 403.7369367, 434.0376059, 445.2447281, 444.6761077, 442.5978727, 440.2299332, 429.1831797, 402.0394940, 363.1811292, 332.0356119, 1970.0000000, 331.0414782, 362.5834589, 405.1892703, 435.7564306, 446.8092966, 445.7125960, 442.8711159, 439.6665048, 427.9293555, 400.4766501, 361.7571234, 331.0316924, 1971.0000000, 330.5622315, 362.7276741, 406.0427311, 437.2198859, 448.5636527, 447.3546879, 444.0391939, 440.0907108, 427.5119036, 399.3893798, 360.3774792, 329.7051209, 1972.0000000, 329.4781188, 362.0568997, 406.0181351, 437.9751109, 449.9890401, 449.1427521, 445.8043742, 441.4347448, 428.1079036, 399.1397401, 359.4743567, 328.4546037, 1973.0000000, 328.0946808, 360.7250408, 405.0450487, 437.7003880, 450.5733117, 450.4949157, 447.6463799, 443.3580981, 429.6354764, 399.9043639, 359.4023885, 327.7126847, 1974.0000000, 326.8557461, 359.1236592, 403.3573762, 436.3675184, 449.9976753, 450.8656484, 448.9158214, 445.2583537, 431.6858730, 401.5532008, 360.2950094, 327.8010248, 1975.0000000, 326.2109843, 357.7827985, 401.4663656, 434.3202655, 448.3165510, 449.9842318, 449.0698973, 446.4478493, 433.6075294, 403.6386246, 361.9831575, 328.8075739, 1976.0000000, 326.4659520, 357.2050555, 400.0119045, 432.1965204, 445.9934001, 448.0075985, 447.9043836, 446.3990894, 434.6925320, 405.4803740, 363.9806489, 330.4966491, 1977.0000000, 327.6314176, 357.6573830, 399.5163790, 430.6975696, 443.7564942, 445.5199200, 445.7166977, 445.0389213, 434.5205443, 406.4629648, 365.6774820, 332.3937582, 1978.0000000, 329.4118686, 359.0598807, 400.1655373, 430.2784771, 442.2529554, 443.2260072, 443.1145135, 442.7257600, 433.1006030, 406.2728064, 366.5839927, 333.9857399, 1979.0000000, 331.3535488, 361.0764933, 401.8216408, 431.0638604, 441.8678629, 441.7028671, 440.7536601, 440.0446456, 430.7875798, 404.9444798, 366.4559495, 334.8692005, 1980.0000000, 332.9879215, 363.2428676, 404.1192257, 432.8891323, 442.6925360, 441.2895723, 439.1635644, 437.6095622, 428.1233122, 402.7939570, 365.3246131, 334.8373382, 1981.0000000, 333.9418642, 365.0799430, 406.5659801, 435.3711372, 444.5505656, 442.0569157, 438.6521457, 435.9102913, 425.6646989, 400.2881249, 363.4458198, 333.9068916, 1982.0000000, 334.0184967, 366.2095444, 408.6714681, 438.0281181, 447.0914906, 443.8630822, 439.3147549, 435.2657766, 423.8836756, 397.9230990, 361.2001348, 332.2644371, 1983.0000000, 333.1890307, 366.3799382, 409.9897424, 440.3214754, 449.8225544, 446.3734386, 441.0397488, 435.8121870, 423.1373402, 396.1803461, 359.0589720, 330.2646295, 1984.0000000, 331.6353520, 365.5503017, 410.2246710, 441.7477493, 452.1600320, 449.0658011, 443.4763226, 437.4380036, 423.5726779, 395.4146934, 357.4750175, 328.3497095, 1985.0000000, 329.7160843, 363.9211726, 409.3283063, 441.9760089, 453.5606850, 451.3213842, 446.0705155, 439.7725201, 425.0799117, 395.7831344, 356.8001781, 326.9689165, 1986.0000000, 327.9072456, 361.9211243, 407.5588036, 440.9760834, 453.6812286, 452.5647004, 448.1504783, 442.2008048, 427.2421805, 397.1483652, 357.1671825, 326.4569046, 1987.0000000, 326.6891276, 360.1261932, 405.4745740, 439.1183061, 452.5705489, 452.4943249, 449.1349585, 444.0008137, 429.3777727, 399.0304489, 358.3725374, 326.8734017, 1988.0000000, 326.3545740, 359.0488300, 403.7487727, 437.0858424, 450.7327134, 451.2964156, 448.8450560, 444.6772652, 430.8153578, 400.7756986, 359.9343495, 327.9665255, 1989.0000000, 326.8863193, 358.9251095, 402.8773626, 435.5589742, 448.8746015, 449.5294068, 447.5547691, 444.1517717, 431.1581710, 401.8106685, 361.2807569, 329.2825526, 1990.0000000, 327.9927840, 359.6686950, 403.0376067, 434.9876750, 447.6390261, 447.8876715, 445.8536758, 442.7673167, 430.4203501, 401.8518122, 361.9606949, 330.3356245, 1991.0000000, 329.2263437, 360.9277440, 404.0605272, 435.4615016, 447.3800436, 446.9206385, 444.3703310, 441.0867111, 428.9543277, 400.9640905, 361.7860240, 330.7808356, 1992.0000000, 330.1616432, 362.2548255, 405.5677851, 436.7796983, 448.1414358, 446.9156756, 443.5781717, 439.6656602, 427.2555512, 399.4503980, 360.8154172, 330.4669992, 1993.0000000, 330.4900142, 363.2278381, 407.1019891, 438.5673003, 449.7346671, 447.9194171, 443.7518161, 438.9500481, 425.8303572, 397.7375358, 359.2922989, 329.4285887, 1994.0000000, 330.0513279, 363.5069281, 408.1929216, 440.3347748, 451.7805780, 449.7543123, 444.9527046, 439.2280162, 425.1230755, 396.3024260, 357.6014260, 327.8878299, 1995.0000000, 328.8814027, 362.9204252, 408.4634789, 441.5741939, 453.7714335, 452.0387290, 447.0082505, 440.5695250, 425.4222925, 395.5627074, 356.1671849, 326.1830399, 1996.0000000, 327.1836345, 361.4862728, 407.6964288, 441.8487158, 455.1536686, 454.2431775, 449.5371169, 442.8268468, 426.8404831, 395.8405561, 355.4155757, 324.7436781, 1997.0000000, 325.3293513, 359.4516920, 405.9177470, 440.8987217, 455.4184012, 455.7332229, 451.9318428, 445.5602379, 429.2028900, 397.2393866, 355.6572194, 323.9945785, 1998.0000000, 323.7961753, 357.2881088, 403.4765552, 438.8116297, 454.3213383, 455.9753603, 453.4978806, 448.0864484, 432.0069892, 399.5406034, 356.9554864, 324.2136834, 1999.0000000, 323.0244806, 355.5625250, 400.9753039, 436.0602798, 452.0439818, 454.7843793, 453.7167187, 449.6844827, 434.5295335, 402.2086326, 359.0524796, 325.4096761, 2000.0000000, 323.2574559, 354.7462955, 399.0736808, 433.3622722, 449.1716268, 452.4438596, 452.4811525, 449.8771891, 436.0679118, 404.5350314, 361.4118163, 327.2830887, 2001.0000000, 324.4342187, 355.0362181, 398.2465639, 431.4178629, 446.4855150, 449.6295389, 450.1899151, 448.6758638, 436.2558247, 405.9260754, 363.4178738, 329.3297942, 2002.0000000, 326.2073952, 356.2802708, 398.5997170, 430.6184881, 444.6076841, 447.0663438, 447.5065371, 446.5111073, 435.1720018, 406.1255721, 364.6210490, 331.0572579, 2003.0000000, 328.1206155, 358.1129199, 399.9411861, 431.0238464, 443.8683022, 445.3022363, 445.0871322, 443.9905703, 433.2055683, 405.2068465, 364.8172466, 332.0965292, 2004.0000000, 329.7275246, 360.0713110, 401.8803187, 432.4215391, 444.3032733, 444.6295696, 443.4323207, 441.7181144, 430.9030638, 403.5031908, 364.0655362, 332.2768588, 2005.0000000, 330.6930779, 361.7077242, 403.9373996, 434.4160705, 445.7044595, 445.0809216, 442.8174780, 440.1621138, 428.8099693, 401.4786059, 362.6292102, 331.6344405, 2006.0000000, 330.8503461, 362.6772861, 405.6448364, 436.5254048, 447.6969464, 446.4759071, 443.2975800, 439.6083501, 427.3762501, 399.6163600, 360.8872078, 330.3689684, 2007.0000000, 330.2007906, 362.7724120, 406.6015322, 438.2378750, 449.7865947, 448.4543586, 444.7244922, 440.1575016, 426.9304432, 398.3786395, 359.3002834, 328.8367226, 2008.0000000, 328.9447539, 361.9904468, 406.5615178, 439.0913249, 451.4017658, 450.4710572, 446.6975594, 441.6394196, 427.5684373, 398.0837405, 358.3005253, 327.4749199, 2009.0000000, 327.4561099, 360.5750847, 405.5483605, 438.8363207, 452.0602169, 451.9252887, 448.6353572, 443.6232793, 429.1089481, 398.8247297, 358.1925377, 326.7036947, 2010.0000000, 326.2028077, 358.9781740, 403.8853993, 437.5424421, 451.5225002, 452.3124371, 449.8811545, 445.4520651, 431.0544760, 400.3725814, 359.0262725, 326.7922567, 2011.0000000, 325.6192162, 357.7589162, 402.1625397, 435.6715916, 449.9746772, 451.4761164, 449.9632725, 446.4482644, 432.6985079, 402.1756278, 360.5090108, 327.7110945, 2012.0000000, 325.9135190, 357.3560853, 401.0103588, 433.9224122, 448.0071914, 449.7442216, 448.8607146, 446.2428816, 433.4307446, 403.5708725, 362.1011357, 329.1258804, 2013.0000000, 326.9712010, 357.8975264, 400.8210180, 432.9060306, 446.3227139, 447.7485892, 446.9851197, 444.9216497, 432.9949912, 404.0667863, 363.2501178, 330.5554368, 2014.0000000, 328.4393587, 359.2054575, 401.6575175, 432.9567732, 445.4782598, 446.1553215, 444.9684013, 442.9311855, 431.5344566, 403.4890529, 363.5679516, 331.5315782, 2015.0000000, 329.8517315, 360.8762959, 403.2685861, 434.0624430, 445.7277474, 445.4410043, 443.4165274, 440.8731001, 429.4903268, 402.0073227, 362.9521885, 331.7612970, 2016.0000000, 330.8018277, 362.4501017, 405.2322325, 435.9525087, 447.0311648, 445.8125326, 442.7454084, 439.2861755, 427.3882567, 399.9880400, 361.5310474, 331.1476372, 2017.0000000, 331.0123908, 363.5106134, 407.0693456, 438.2053812, 449.1368290, 447.2485933, 443.1708891, 438.5822423, 425.7379507, 397.8977074, 359.6068661, 329.7832953, 2018.0000000, 330.3691598, 363.7444341, 408.3108972, 440.3064575, 451.6202085, 449.5155901, 444.6977661, 439.0044996, 424.9635803, 396.2243571, 357.6003897, 327.9368282, 2019.0000000, 328.9530342, 363.0133735, 408.5903672, 441.7299138, 453.9312938, 452.1750491, 447.0928627, 440.5700348, 425.3207339, 395.3818662, 355.9610028, 325.9923806, 2020.0000000, 327.0240647, 361.3934455, 407.7350475, 442.0551039, 455.4996033, 454.6529622, 449.9131981, 443.0644709, 426.8648481, 395.6577664, 355.1085268, 324.3996836, 2021.0000000, 324.9963296, 359.1913034, 405.8340656, 441.0695863, 455.8315090, 456.2938172, 452.4992687, 445.9763745, 429.3452005, 397.0923834, 355.3167966, 323.5765451, 2022.0000000, 323.3708014, 356.9331586, 403.3186836, 438.9529827, 454.7606222, 456.6082522, 454.1581547, 448.5829851, 432.1888234, 399.3849528, 356.5739333, 323.7458586, 2023.0000000, 322.5572923, 355.1869209, 400.8310754, 436.2551024, 452.5664764, 455.5066966, 454.4430801, 450.1949138, 434.6580679, 401.9462292, 358.5488998, 324.8395893, 2024.0000000, 322.7281352, 354.3673102, 399.0040101, 433.7104456, 449.8980221, 453.3729487, 453.3637819, 450.4436901, 436.1255098, 404.0946917, 360.6854763, 326.5058031, 2025.0000000, 323.7479213, 354.5816683, 398.2214806, 431.9479852, 447.5042911, 450.8994624, 451.3833793, 449.4399354, 436.3329104, 405.3243022, 362.4154040, 328.2457935, 2026.0000000, 325.2386702, 355.6151344, 398.5012105, 431.2630102, 445.9250407, 448.7615160, 449.1614199, 447.6606010, 435.4479009, 405.4821058, 363.3770968, 329.6226773, 2027.0000000, 326.7638163, 357.0839723, 399.5946356, 431.6289708, 445.3918837, 447.4151619, 447.2858019, 445.6851898, 433.8798243, 404.7039629, 363.4466854, 330.3411630, 2028.0000000, 327.9307195, 358.5503406, 401.1000095, 432.7870907, 445.8699523, 447.0727169, 446.1825032, 444.0632856, 432.1572429, 403.3479464, 362.7415918, 330.3025691, 2029.0000000, 328.4735542, 359.6190794, 402.5584929, 434.3230824, 447.0977463, 447.6922610, 446.0459492, 443.1898994, 430.7750316, 401.8637099, 361.5491086, 329.5956033, 2030.0000000, 328.2930848, 360.0134220, 403.5507034, 435.7656199, 448.6707511, 449.0344609, 446.8584707, 443.2791638, 430.1260776, 400.7052265, 360.2540658, 328.4593673, 2031.0000000, 327.4573154, 359.6087253, 403.7523913, 436.6459367, 450.0886649, 450.6889356, 448.3939684, 444.3444724, 430.4598934, 400.2777582, 359.2925498, 327.2612720, 2032.0000000, 326.2137045, 358.4829969, 403.0152579, 436.5833265, 450.8145632, 452.0882304, 450.1831023, 446.1228598, 431.7801965, 400.8278583, 359.0551536, 326.4308660, 2033.0000000, 324.9668528, 356.9557748, 401.4795648, 435.4569183, 450.4631501, 452.6645099, 451.6058073, 448.0899467, 433.7880151, 402.3370206, 359.7605383, 326.3351317, 2034.0000000, 324.1686354, 355.5118624, 399.5619525, 433.4790394, 448.9476181, 452.0266118, 452.0458446, 449.5500739, 435.8900566, 404.4599596, 361.3509238, 327.1571250, 2035.0000000, 324.1931662, 354.6871129, 397.8879485, 431.2196982, 446.6185020, 450.1944776, 451.1676872, 449.8830812, 437.3514606, 406.5581476, 363.4259717, 328.7609606, 2036.0000000, 325.1479906, 354.8313244, 397.0324874, 429.3851712, 444.1527131, 447.6474777, 449.1247243, 448.8629520, 437.6330576, 407.9641471, 365.3918477, 330.7350088, 2037.0000000, 326.8278759, 355.9709606, 397.2887067, 428.5179370, 442.2445692, 445.0837911, 446.4587150, 446.7303481, 436.6064222, 408.2529120, 366.7039852, 332.5665330, 2038.0000000, 328.8219039, 357.8456705, 398.6169863, 428.8466714, 441.3706595, 443.1418199, 443.8399856, 444.0272544, 434.5305486, 407.3430144, 367.0232836, 333.7991892, 2039.0000000, 330.6500688, 360.0161656, 400.7074659, 430.2829221, 441.7066851, 442.2408925, 441.8603867, 441.3942329, 431.9251012, 405.4874892, 366.3064464, 334.1686317, 2040.0000000, 331.9105025, 362.0065980, 403.1012598, 432.4989858, 443.1426071, 442.5194805, 440.8879240, 439.3601684, 429.3478448, 403.1104501, 364.7379891, 333.6174258, 2041.0000000, 332.3480175, 363.4071839, 405.3095902, 435.0462112, 445.3836916, 443.9045391, 441.0915657, 438.3117294, 427.3175981, 400.7162896, 362.6684155, 332.2795399, 2042.0000000, 331.8766550, 363.9198589, 406.8644226, 437.3935968, 447.9696123, 446.1101142, 442.4171721, 438.4431906, 426.2361477, 398.8040074, 360.5510692, 330.4627302, 2043.0000000, 330.6142322, 363.4376889, 407.4212706, 439.0228199, 450.3378356, 448.6634117, 444.5808243, 439.7178284, 426.3206483, 397.7765781, 358.8528213, 328.5854810, 2044.0000000, 328.8633477, 362.0825000, 406.8510428, 439.5456566, 451.9284037, 450.9711094, 447.0891955, 441.8492402, 427.5530373, 397.8699772, 357.9733124, 327.1050951, 2045.0000000, 327.0660097, 360.2063822, 405.3032170, 438.8173119, 452.3079177, 452.4119661, 449.2763127, 444.2772876, 429.6072844, 399.0500842, 358.1342891, 326.4152591, 2046.0000000, 325.7241004, 358.3611708, 403.2616570, 437.0957349, 451.4032555, 452.5830947, 450.5022221, 446.2769059, 431.8537832, 400.9275829, 359.2348285, 326.6675937, 2047.0000000, 325.1981005, 357.0895359, 401.3751851, 434.9785292, 449.5851012, 451.5169254, 450.4447685, 447.2501284, 433.5831588, 402.8791926, 360.8730672, 327.7136787, 2048.0000000, 325.5819083, 356.7337705, 400.2199445, 433.1759827, 447.5273169, 449.6791267, 449.2424891, 446.9694510, 434.2743594, 404.2636574, 362.4719323, 329.1428847, 2049.0000000, 326.6601910, 357.3069412, 400.0798551, 432.2278435, 445.9227028, 447.7606348, 447.4245386, 445.6699935, 433.8125517, 404.6862352, 363.5159488, 330.4564333, 2050.0000000, 328.0166165, 358.5262075, 400.8826314, 432.3293637, 445.2183725, 446.3734907, 445.6383623, 443.8816530, 432.4710740, 404.1121355, 363.7304918, 331.2571678, 2051.0000000, 329.2116871, 359.9680059, 402.3083100, 433.3609071, 445.5451007, 445.8817319, 444.4100535, 442.1746693, 430.7128998, 402.7732232, 363.0903575, 331.3219088, 2052.0000000, 329.8898628, 361.1958917, 403.9219224, 435.0023705, 446.7894091, 446.4138778, 444.0908595, 441.0530553, 429.0697111, 401.0809345, 361.7920572, 330.6265913, 2053.0000000, 329.8378894, 361.8351034, 405.2470941, 436.7879415, 448.6165530, 447.8457571, 444.7953085, 440.8492217, 428.0100029, 399.5063222, 360.1838402, 329.3373999, 2054.0000000, 329.0300374, 361.6621921, 405.8824641, 438.2236993, 450.5670701, 449.8649714, 446.4277417, 441.7068596, 427.8801722, 398.4959039, 358.6841066, 327.7556378, 2055.0000000, 327.6093968, 360.6231685, 405.5478494, 438.8412652, 452.0968271, 451.9862353, 448.6724600, 443.5510910, 428.8590807, 398.4181125, 357.7344218, 326.2929364, 2056.0000000, 325.8976825, 358.8884519, 404.1819440, 438.3121578, 452.6696547, 453.5949728, 450.9809651, 446.0262626, 430.8634178, 399.4560820, 357.6979674, 325.3911276, 2057.0000000, 324.3504599, 356.8647610, 402.0328913, 436.6114660, 451.9519783, 454.1164338, 452.6726285, 448.5113839, 433.4848483, 401.4932534, 358.7247858, 325.3859442, 2058.0000000, 323.4298486, 355.0944001, 399.6218343, 434.0821013, 449.9771900, 453.2366909, 453.1495279, 450.2714512, 436.0499554, 404.0884170, 360.6677503, 326.3913305, 2059.0000000, 323.4676627, 354.1083795, 397.6191295, 431.3884898, 447.2187794, 451.0937224, 452.1584547, 450.7153784, 437.7993634, 406.5400651, 363.0464238, 328.1901781, 2060.0000000, 324.4970305, 354.1974616, 396.5733955, 429.2599209, 444.4276582, 448.2753610, 449.9689195, 449.7129197, 438.2493271, 408.1910242, 365.2421546, 330.3232084, 2061.0000000, 326.2498416, 355.3150282, 396.7071021, 428.1905909, 442.2884562, 445.5127234, 447.1897833, 447.5874778, 437.3458705, 408.6657898, 366.7289211, 332.2708549, 2062.0000000, 328.2860842, 357.1507392, 397.9150049, 428.3417652, 441.2262098, 443.4220231, 444.5032379, 444.9225553, 435.4068776, 407.9416954, 367.2149050, 333.6060634, 2063.0000000, 330.1370664, 359.2563264, 399.8562684, 429.5765615, 441.3623098, 442.3757263, 442.4720125, 442.3518735, 432.9658353, 406.2996561, 366.6886494, 334.0935587, 2064.0000000, 331.4227819, 361.1663079, 402.0651943, 431.5415164, 442.5475264, 442.4697853, 441.4283342, 440.3829667, 430.5779253, 404.1777161, 365.3601551, 333.7071956, 2065.0000000, 331.9210596, 362.5008497, 404.0714757, 433.7874021, 444.4667432, 443.5971325, 441.5023562, 439.3682441, 428.7377277, 402.0705547, 363.5838905, 332.5961486, 2066.0000000, 331.5699880, 362.9909591, 405.4325872, 435.7939651, 446.6495994, 445.4433888, 442.6019986, 439.4644472, 427.8207146, 400.4655074, 361.8162472, 331.0839130, 2067.0000000, 330.5157522, 362.5699531, 405.8489620, 437.0778947, 448.5449817, 447.5190875, 444.4036147, 440.5852198, 427.9975411, 399.7330642, 360.5091548, 329.5915173, 2068.0000000, 329.0806051, 361.3980951, 405.2453407, 437.3058161, 449.6282943, 449.2322043, 446.3792053, 442.3830987, 429.1819238, 400.0525200, 360.0276219, 328.5646762, 2069.0000000, 327.7180789, 359.8669206, 403.8422475, 436.4259376, 449.5562954, 450.0204365, 447.8722308, 444.2556866, 430.9698012, 401.3032993, 360.5208236, 328.3468956, 2070.0000000, 326.9033697, 358.5310761, 402.1671281, 434.7839559, 448.3724424, 449.5954827, 448.3204823, 445.4944327, 432.6845458, 403.0089994, 361.7923467, 329.0053926, 2071.0000000, 326.9296199, 357.8890569, 400.8630973, 433.0268483, 446.5554456, 448.1387089, 447.5561853, 445.6172977, 433.6622030, 404.5188025, 363.3658555, 330.2987864, 2072.0000000, 327.7918679, 358.1842297, 400.4215934, 431.8189176, 444.7945732, 446.2005578, 445.8577536, 444.5544305, 433.5064597, 405.2490752, 364.6561604, 331.7646801, 2073.0000000, 329.1963936, 359.3312287, 401.0179537, 431.6016520, 443.7212607, 444.4703243, 443.8232847, 442.6694216, 432.2512883, 404.9228316, 365.2063235, 332.9083994, 2074.0000000, 330.6904121, 360.9780991, 402.4849615, 432.4626628, 443.6815612, 443.4882688, 442.0798030, 440.5356515, 430.2658911, 403.6156951, 364.8260650, 333.3747146, 2075.0000000, 331.8378267, 362.6716927, 404.4449628, 434.2049344, 444.7211049, 443.5407384, 441.1014774, 438.7170135, 428.0606082, 401.6431487, 363.5754810, 333.0020108, 2076.0000000, 332.3135988, 363.9747399, 406.4330234, 436.4548646, 446.6579565, 444.6824154, 441.1727809, 437.6742906, 426.1640676, 399.4558667, 361.7124867, 331.8243108, 2077.0000000, 331.9440643, 364.5270781, 407.9598574, 438.7113453, 449.1089141, 446.7352918, 442.3554405, 437.6986774, 425.0299794, 397.5455268, 359.6351341, 330.0676025, 2078.0000000, 330.7570263, 364.1394142, 408.6295111, 440.4565163, 451.5696392, 449.3311681, 444.4943850, 438.8783839, 424.9659320, 396.3500090, 357.7852917, 328.0788445, 2079.0000000, 328.9495523, 362.8065112, 408.1894725, 441.2192698, 453.4659384, 451.9367946, 447.2169103, 441.0806913, 426.1032709, 396.2137891, 356.6118772, 326.3060549, 2080.0000000, 326.9015522, 360.7677843, 406.6398928, 440.7054834, 454.2606585, 453.9053976, 449.9193297, 443.8801980, 428.2857237, 397.2594644, 356.4452818, 325.1915431, 2081.0000000, 325.1019187, 358.4927149, 404.3086322, 438.9644363, 453.6683841, 454.6755543, 451.9000242, 446.6051685, 431.0325172, 399.2929348, 357.3712642, 325.0340589, 2082.0000000, 324.0082829, 356.5568400, 401.7883507, 436.4357347, 451.8215613, 454.0143300, 452.6113108, 448.5309776, 433.6372909, 401.8040671, 359.1592864, 325.8681174, 2083.0000000, 323.8885752, 355.4528124, 399.7488961, 433.8259496, 449.2705929, 452.1567081, 451.9003083, 449.1524059, 435.3921591, 404.0959172, 361.2902273, 327.4118727, 2084.0000000, 324.6990779, 355.3937594, 398.6763878, 431.8337163, 446.7762072, 449.7401952, 450.1214295, 448.4471537, 435.9203519, 405.5882069, 363.1741090, 329.1888907, 2085.0000000, 326.1187564, 356.2522651, 398.6967088, 430.8599617, 444.9519251, 447.4600107, 447.8902831, 446.7928766, 435.2621786, 406.0105292, 364.3685299, 330.7247271, 2086.0000000, 327.7137017, 357.6869502, 399.6412629, 430.9830142, 444.1368446, 445.8577070, 445.8394956, 444.7620016, 433.7718225, 405.4166322, 364.6693023, 331.6644912, 2087.0000000, 329.0586638, 359.2580483, 401.1400179, 432.0050133, 444.3726687, 445.2206373, 444.4518221, 442.9283639, 431.9615797, 404.1137912, 364.1275825, 331.8470773, 2088.0000000, 329.8401296, 360.5454305, 402.7401006, 433.5501728, 445.4604922, 445.5793713, 443.9892030, 441.7348254, 430.3427777, 402.5334711, 362.9868616, 331.3064710, 2089.0000000, 329.9054355, 361.2314007, 404.0073317, 435.1669976, 447.0466188, 446.7635997, 444.5062133, 441.4565758, 429.3448173, 401.1330831, 361.6037303, 330.2310662, 2090.0000000, 329.2587107, 361.1249774, 404.5661302, 436.3682025, 448.6513413, 448.4155585, 445.8471643, 442.1795505, 429.2765208, 400.3522065, 360.4183685, 328.9645723, 2091.0000000, 328.1009432, 360.2417905, 404.2056860, 436.7338316, 449.7388594, 450.0106115, 447.6157847, 443.7256374, 430.2175621, 400.4878982, 359.8389060, 327.9210275, 2092.0000000, 326.7886085, 358.8202399, 402.9619851, 436.0425216, 449.8593255, 450.9722915, 449.2407921, 445.6625177, 431.9798504, 401.6245392, 360.1595044, 327.5082243, 2093.0000000, 325.7769860, 357.3043419, 401.1631884, 434.3848025, 448.8035387, 450.8220337, 450.0769516, 447.3290291, 434.0538088, 403.5213394, 361.4206901, 327.9859842, 2094.0000000, 325.4893270, 356.2417203, 399.3938755, 432.2315167, 446.7813535, 449.4320433, 449.6719857, 448.0492730, 435.7192506, 405.6093551, 363.3181281, 329.3188940, 2095.0000000, 326.1283104, 356.0626640, 398.2747534, 430.2771111, 444.3916523, 447.1509191, 448.0270917, 447.4634557, 436.3572756, 407.2087207, 365.3002862, 331.1696829, 2096.0000000, 327.5827579, 356.8998379, 398.2005746, 429.1339476, 442.3421995, 444.6226810, 445.5688975, 445.6621807, 435.6955800, 407.7956520, 366.7820428, 333.0366152, 2097.0000000, 329.4926207, 358.5783021, 399.2429380, 429.1475772, 441.2051151, 442.5365432, 442.9602705, 443.1221132, 433.8908232, 407.1836721, 367.3478724, 334.4243250, 2098.0000000, 331.3741300, 360.6887313, 401.1532896, 430.3114782, 441.2400160, 441.3774105, 440.8228118, 440.4667772, 431.4005453, 405.5401896, 366.8729867, 335.0105732, 2099.0000000, 332.7970241, 362.7599514, 403.5128625, 432.3681081, 442.4231934, 441.3693496, 439.5933096, 438.2617580, 428.7767996, 403.2435366, 365.4752962, 334.6716703, 2100.0000000, 333.4530229, 364.3513919, 405.8324064, 434.8999447, 444.5147784, 442.5053793, 439.5046635, 436.9418625, 426.5582653, 400.7842378, 363.4638085, 333.4862325, 2101.0000000, 333.2000271, 365.1192110, 407.6222643, 437.3875385, 447.0966399, 444.5609735, 440.5699892, 436.7615053, 425.1868459, 398.6723643, 361.2733156, 331.7212666, 2102.0000000, 332.1014104, 364.8993187, 408.4958526, 439.3025674, 449.6331056, 447.1187250, 442.5750003, 437.7523649, 424.9325394, 397.3370407, 359.3657261, 329.7607989, 2103.0000000, 330.3995498, 363.7340896, 408.2429523, 440.2009067, 451.5532873, 449.6217951, 445.0994036, 439.7203715, 425.8688482, 397.0863859, 358.1820811, 328.0697261, 2104.0000000, 328.5092613, 361.9117337, 406.9199906, 439.8406425, 452.3543339, 451.4280053, 447.5076278, 442.1755608, 427.7583127, 397.9702653, 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