# 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 : -13 # 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, 460.4727971, 449.6061263, 427.9035728, 392.6397716, 352.1970922, 324.0206762, 325.8568797, 360.8165534, 411.0995703, 451.2513037, 467.5137234, 465.6922706, -2998.0000000, 458.9131604, 449.0669770, 428.4019029, 393.9116365, 353.8297165, 325.6582911, 327.2702067, 361.7504853, 411.1883220, 450.2657375, 465.6371647, 463.4298797, -2997.0000000, 456.8078386, 447.5625646, 427.7738928, 394.1789831, 354.7790200, 327.0091289, 328.8133919, 363.2666265, 412.2883027, 450.5120746, 464.8667133, 461.8519696, -2996.0000000, 454.8248112, 445.6230597, 426.2956550, 393.4269965, 354.7892773, 327.6626666, 329.9892882, 364.8487712, 413.9850927, 451.8254032, 465.3653273, 461.4152529, -2995.0000000, 453.6070314, 443.9340941, 424.5387793, 391.9924659, 353.9218231, 327.4318238, 330.4016325, 365.9311739, 415.6447211, 453.6820454, 466.8832701, 462.2054200, -2994.0000000, 453.5414420, 443.0891493, 423.1620153, 390.4457876, 352.5480124, 326.4449196, 329.9230969, 366.1166257, 416.6362544, 455.3664419, 468.8270471, 463.8992033, -2993.0000000, 454.6258479, 443.3850902, 422.6762568, 389.3789329, 351.2070860, 325.0982508, 328.7514938, 365.3380741, 416.5736596, 456.2276197, 470.4578509, 465.8642097, -2992.0000000, 456.4609777, 444.7125971, 423.2541433, 389.1733720, 350.3805068, 323.8772806, 327.3090763, 363.8720178, 415.4701715, 455.9503696, 471.2053997, 467.4418219, -2991.0000000, 458.4596348, 446.6705201, 424.7420086, 389.9184710, 350.3418021, 323.1676988, 326.0396061, 362.1548914, 413.6291958, 454.5638471, 470.7829564, 468.1178127, -2990.0000000, 460.0244487, 448.7188457, 426.7678828, 391.4642254, 351.1532415, 323.2018357, 325.3121190, 360.6591476, 411.5318955, 452.3946539, 469.2302539, 467.6312598, -2989.0000000, 460.6801226, 450.2996104, 428.8304536, 393.4698776, 352.6740887, 324.0287463, 325.3505603, 359.7792788, 409.6962188, 449.9484697, 466.8696616, 466.0191837, -2988.0000000, 460.1809112, 450.9664013, 430.4139139, 395.4840199, 354.6029804, 325.5233748, 326.2106195, 359.7685150, 408.5693921, 447.7788525, 464.1991057, 463.5744592, -2987.0000000, 458.5413864, 450.4659299, 431.0853190, 397.0279890, 356.5345559, 327.4177465, 327.7890579, 360.7237732, 408.4819081, 446.4153736, 461.8185609, 460.8038374, -2986.0000000, 456.0459599, 448.7939703, 430.5689265, 397.6561406, 357.9874806, 329.2952221, 329.7885509, 362.5227006, 409.5578837, 446.2544105, 460.3237326, 458.3590777, -2985.0000000, 453.2510521, 446.2830396, 428.9006072, 397.1290712, 358.5481940, 330.6810393, 331.7519524, 364.8008141, 411.6326487, 447.4214729, 460.1296086, 456.8514088, -2984.0000000, 450.8293860, 443.5191240, 426.4424280, 395.5128482, 358.0100290, 331.1763923, 333.1642972, 367.0045533, 414.2433420, 449.6978945, 461.3459057, 456.6966009, -2983.0000000, 449.4121640, 441.2176409, 423.8329253, 393.2244101, 356.4982383, 330.6246568, 333.6244340, 368.5337777, 416.7027218, 452.4982967, 463.6589552, 457.9213075, -2982.0000000, 449.3452390, 439.9656663, 421.7681513, 390.9055693, 354.4647757, 329.2195605, 333.0414369, 368.9936282, 418.3515010, 455.0585300, 466.4145315, 460.1327874, -2981.0000000, 450.5541875, 439.9986620, 420.7258099, 389.1528296, 352.4849349, 327.4085361, 331.6635757, 368.3557978, 418.8269691, 456.7412966, 468.8836480, 462.7016579, -2980.0000000, 452.6297820, 441.1844796, 420.8522303, 388.3304070, 351.0383994, 325.6872890, 329.9251385, 366.8974800, 418.1234397, 457.2004509, 470.4700343, 464.9557174, -2979.0000000, 454.9787047, 443.1164096, 421.9877764, 388.5266950, 350.4088003, 324.4642123, 328.3017085, 365.0873319, 416.5643411, 456.4678848, 470.8815879, 466.3782939, -2978.0000000, 457.0048005, 445.2524666, 423.7496740, 389.5735264, 350.6398162, 323.9589304, 327.1570781, 363.3964313, 414.6250762, 454.8555979, 470.1430902, 466.7078241, -2977.0000000, 458.2523455, 447.0671941, 425.6680334, 391.1501942, 351.5986671, 324.2217944, 326.7149509, 362.2174493, 412.8131978, 452.8413314, 468.5348113, 465.9425583, -2976.0000000, 458.4571247, 448.1207852, 427.2502800, 392.8313454, 353.0038188, 325.1407624, 327.0415056, 361.8154997, 411.5871673, 450.9805417, 466.5407866, 464.3513774, -2975.0000000, 457.6133838, 448.1535417, 428.0703020, 394.1486218, 354.4537928, 326.4418602, 328.0196839, 362.2702359, 411.2613287, 449.7878837, 464.7445535, 462.4253933, -2974.0000000, 456.0012096, 447.1798270, 427.8956336, 394.7116232, 355.5158135, 327.7383756, 329.3609631, 363.4491467, 411.9351749, 449.6249629, 463.6975226, 460.7634646, -2973.0000000, 454.1233514, 445.4936192, 426.7533999, 394.3027022, 355.8141088, 328.5914421, 330.6304984, 364.9916109, 413.4320543, 450.5989258, 463.7971631, 459.9604033, -2972.0000000, 452.6373201, 443.6732686, 425.0163825, 393.0223806, 355.1929377, 328.6537606, 331.3491304, 366.3490316, 415.2545118, 452.4246978, 465.0739038, 460.3546034, -2971.0000000, 452.1055150, 442.3812231, 423.2982023, 391.3018511, 353.8309538, 327.8487345, 331.2040662, 366.9950728, 416.7485236, 454.4981890, 467.1559679, 461.8951314, -2970.0000000, 452.7891198, 442.1201223, 422.2222886, 389.7388683, 352.1779306, 326.4121782, 330.1837845, 366.6340507, 417.3403106, 456.0941570, 469.3756907, 464.1411268, -2969.0000000, 454.5490566, 443.0544971, 422.1968840, 388.8726194, 350.7769354, 324.7947840, 328.5810177, 365.3200225, 416.7612656, 456.6373650, 471.0079180, 466.4168377, -2968.0000000, 456.9025730, 444.9705344, 423.2904925, 389.0020104, 350.0634040, 323.4786639, 326.8592632, 363.4144557, 415.1375930, 455.9175337, 471.5446590, 468.0715248, -2967.0000000, 459.2231451, 447.3950288, 425.2619808, 390.1314470, 350.2433872, 322.8090901, 325.4557651, 361.3897284, 412.8526425, 454.0677272, 470.7917214, 468.6463724, -2966.0000000, 460.9259966, 449.7646236, 427.6922009, 392.0535109, 351.3236342, 322.9733387, 324.7116668, 359.7174924, 410.4245004, 451.4854082, 468.8695151, 467.9430403, -2965.0000000, 461.5651294, 451.5163244, 430.0483917, 394.3814369, 353.1137947, 323.9741752, 324.8123826, 358.7692479, 408.3774852, 448.7202050, 466.1714633, 466.0724378, -2964.0000000, 460.9499737, 452.2291232, 431.8106950, 396.6389453, 355.2772635, 325.6480446, 325.7753119, 358.7657400, 407.1440407, 446.3417789, 463.2439040, 463.3939436, -2963.0000000, 459.1587212, 451.6926041, 432.5596792, 398.3340781, 357.3774376, 327.6856892, 327.4498266, 359.7538737, 407.0125394, 444.8623035, 460.7060234, 460.4674991, -2962.0000000, 456.5480410, 449.9734675, 432.0712371, 399.0450557, 358.9308565, 329.6484420, 329.5005181, 361.5591305, 408.0481039, 444.6292399, 459.1339358, 457.9639473, -2961.0000000, 453.7275874, 447.4771233, 430.4536987, 398.5865212, 359.5508864, 331.0612459, 331.4437846, 363.7627694, 410.0065817, 445.6792642, 458.8692056, 456.4566182, -2960.0000000, 451.3765185, 444.8380796, 428.1463116, 397.1096272, 359.1050595, 331.5780422, 332.7907928, 365.8030249, 412.3745130, 447.7052278, 459.9169670, 456.2677699, -2959.0000000, 450.0642194, 442.7530986, 425.8130146, 395.0903543, 357.7945113, 331.1202718, 333.2102704, 367.1280471, 414.4709097, 450.0722233, 461.8668442, 457.3057999, -2958.0000000, 450.0237231, 441.7234959, 424.1055707, 393.1716959, 356.1120515, 329.9522330, 332.7038034, 367.4469745, 415.7266808, 452.0587072, 464.0423676, 459.1007961, -2957.0000000, 451.0722376, 441.8704508, 423.4045707, 391.8867708, 354.6099613, 328.5382415, 331.5761061, 366.8273089, 415.8989628, 453.1330671, 465.7676021, 461.0108722, -2956.0000000, 452.7335638, 442.9622549, 423.7491777, 391.5069576, 353.7028894, 327.3425297, 330.2689726, 365.6033527, 415.0923978, 453.0877467, 466.5660419, 462.4288497, -2955.0000000, 454.4161399, 444.5421162, 424.8995937, 392.0334452, 353.5967249, 326.7134851, 329.2216045, 364.2437033, 413.6835035, 452.0597358, 466.2698635, 462.9373753, -2954.0000000, 455.5706699, 446.0579904, 426.4196304, 393.2235381, 354.2593317, 326.8043293, 328.7454282, 363.1904314, 412.1620714, 450.4342797, 465.0233360, 462.4021233, -2953.0000000, 455.8373102, 447.0265028, 427.8267096, 394.7059788, 355.4914701, 327.5976519, 329.0002293, 362.7815856, 411.0069469, 448.7100517, 463.1851084, 460.9354581, -2952.0000000, 455.0634114, 447.0816312, 428.6467391, 396.0248646, 356.9530042, 328.9134112, 329.9828117, 363.2158378, 410.6259274, 447.4308479, 461.2855000, 458.9074444, -2951.0000000, 453.3724859, 446.0815580, 428.5250007, 396.7240820, 358.2073355, 330.4156721, 331.5012556, 364.4925236, 411.2580527, 447.0602569, 459.9042123, 456.8651011, -2950.0000000, 451.1522678, 444.1702328, 427.3383312, 396.4696339, 358.8189218, 331.6697661, 333.1897088, 366.3833377, 412.9012504, 447.8722371, 459.5432575, 455.4170494, -2949.0000000, 448.9818250, 441.7709442, 425.2597028, 395.1613335, 358.4724489, 332.2376435, 334.5648327, 368.4399681, 415.2648080, 449.8530201, 460.4970360, 455.0971826, -2948.0000000, 447.5189433, 439.5306749, 422.7834483, 393.0355811, 357.1200830, 331.8278963, 335.1460620, 370.0570856, 417.7487817, 452.5893060, 462.6658888, 456.1343733, -2947.0000000, 447.2586367, 438.1065453, 420.5872702, 390.6397448, 355.0721109, 330.4758243, 334.6912416, 370.7247196, 419.6562756, 455.3850595, 465.5568621, 458.3475871, -2946.0000000, 448.3430488, 437.9164551, 419.2658779, 388.6055229, 352.8601503, 328.5204356, 333.2885074, 370.2207397, 420.4413237, 457.4911092, 468.4358110, 461.2009428, -2945.0000000, 450.5236029, 439.0190309, 419.1484775, 387.4398659, 351.0473916, 326.4752528, 331.3205286, 368.6969299, 419.9153086, 458.3745431, 470.5783745, 463.9834243, -2944.0000000, 453.2525327, 441.1147067, 420.2141220, 387.3706143, 350.0333235, 324.8265080, 329.2913801, 366.5828335, 418.2812345, 457.8879284, 471.5128011, 466.0521198, -2943.0000000, 455.8835870, 443.6851402, 422.1594826, 388.3386727, 349.9757538, 323.8967846, 327.6459521, 364.3901373, 415.9861601, 456.2342469, 471.1043695, 466.9891400, -2942.0000000, 457.8502990, 446.1593380, 424.5330466, 390.0884830, 350.8311168, 323.8329683, 326.7027078, 362.5911515, 413.5728706, 453.8515171, 469.5181132, 466.6372807, -2941.0000000, 458.7390823, 447.9911241, 426.7973104, 392.2078663, 352.3718361, 324.6001495, 326.6181119, 361.5452615, 411.5762221, 451.3201584, 467.1900235, 465.1546071, -2940.0000000, 458.4059446, 448.7976779, 428.4519158, 394.2153965, 354.2350655, 325.9967858, 327.3687571, 361.4377981, 410.4080082, 449.2097010, 464.6849593, 462.9333528, -2939.0000000, 456.9726894, 448.4162507, 429.1164705, 395.6369699, 355.9767376, 327.6856865, 328.7632479, 362.2710431, 410.3203569, 448.0148625, 462.6263822, 460.5578722, -2938.0000000, 454.8397961, 446.9737019, 428.6316141, 396.1016976, 357.1360182, 329.2190599, 330.4291635, 363.8126095, 411.3127681, 448.0265261, 461.5540527, 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399.5063608, 355.2895313, 324.8563620, 324.3777215, 354.6381724, 400.3286462, 441.0243136, 463.6376529, 469.4089762, 1860.0000000, 468.0275464, 460.8604767, 438.9825033, 399.6381814, 354.4251336, 323.3167311, 322.4144881, 352.5227529, 398.5690733, 440.2795199, 464.3030997, 471.3507568, 1861.0000000, 470.7259640, 463.6427827, 441.1823009, 400.8227112, 354.5311104, 322.5142405, 320.8701827, 350.3949897, 396.2463651, 438.4529345, 463.6402977, 472.1018973, 1862.0000000, 472.6734348, 466.2609791, 443.7798936, 402.7825586, 355.5485907, 322.5789869, 320.0403800, 348.6984709, 393.8822080, 435.9901921, 461.8490645, 471.5393918, 1863.0000000, 473.4684926, 468.1583262, 446.2182713, 405.0903142, 357.2391680, 323.4621295, 320.0575749, 347.7539721, 391.9654155, 433.4422005, 459.3679505, 469.8420107, 1864.0000000, 472.9821972, 468.9504707, 447.9864371, 407.2583362, 359.2410669, 324.9634053, 320.8922620, 347.7255021, 390.8697054, 431.3425161, 456.7503213, 467.4141827, 1865.0000000, 471.3524906, 468.4795128, 448.6985644, 408.8094842, 361.1166429, 326.7569441, 322.3608829, 348.6097079, 390.8201441, 430.1455515, 454.5895500, 464.8298887, 1866.0000000, 468.9784716, 466.8644612, 448.1771067, 409.3565044, 362.4033665, 328.4082435, 324.1137926, 350.1983245, 391.8279850, 430.1381418, 453.4198583, 462.7544303, 1867.0000000, 466.4978558, 464.5590302, 446.5825332, 408.7598828, 362.7505169, 329.4638836, 325.6705920, 352.0541504, 393.6047715, 431.2936212, 453.5259300, 461.7354213, 1868.0000000, 464.6030086, 462.2424560, 444.4141278, 407.2320734, 362.0818490, 329.6240086, 326.5727307, 353.6225299, 395.6101035, 433.2411818, 454.8343510, 462.0341553, 1869.0000000, 463.8391216, 460.6268980, 442.3805324, 405.3085469, 360.6651905, 328.8796387, 326.5541361, 354.4019959, 397.1781687, 435.3074141, 456.8508344, 463.4640181, 1870.0000000, 464.3654865, 460.1775659, 441.1356371, 403.6627936, 359.0446431, 327.5656773, 325.7039963, 354.1966429, 397.8167758, 436.7906043, 458.8458793, 465.4526507, 1871.0000000, 465.8849990, 460.9195257, 440.9979056, 402.7999341, 357.7747281, 326.1806312, 324.3967614, 353.1791498, 397.4061069, 437.2553680, 460.1682932, 467.3061310, 1872.0000000, 467.8207638, 462.5056445, 441.9032257, 402.9127838, 357.2188527, 325.1682813, 323.0913398, 351.7478913, 396.1644826, 436.6277104, 460.4395274, 468.4444991, 1873.0000000, 469.5413247, 464.3968290, 443.5159090, 403.9129937, 357.5071624, 324.8184760, 322.1913298, 350.3713649, 394.5227310, 435.1522311, 459.6108296, 468.5302809, 1874.0000000, 470.5165612, 466.0067522, 445.3352438, 405.4856025, 358.5375358, 325.2187466, 321.9490280, 349.4482363, 392.9662556, 433.2701518, 457.9285539, 467.5319082, 1875.0000000, 470.4517565, 466.8670431, 446.8539578, 407.2146204, 360.0581425, 326.2938536, 322.4608379, 349.2509116, 391.9245548, 431.4783291, 455.8082365, 465.6507394, 1876.0000000, 469.2762302, 466.6601128, 447.6085472, 408.6295278, 361.7007450, 327.8251338, 323.6733909, 349.9150425, 391.7394074, 430.2804926, 453.7926282, 463.3168762, 1877.0000000, 467.1907056, 465.3068342, 447.2765146, 409.2800145, 363.0185464, 329.4548324, 325.3603579, 351.3900575, 392.5861083, 430.0846025, 452.4453660, 461.1112381, 1878.0000000, 464.6497257, 463.0223479, 445.7858474, 408.8567823, 363.5813606, 330.7397631, 327.1345549, 353.4105811, 394.4075141, 431.1039316, 452.2319937, 459.6515267, 1879.0000000, 462.2839074, 460.3034398, 443.3775659, 407.3057082, 363.0984162, 331.2498412, 328.5062811, 355.5065854, 396.8696088, 433.2645480, 453.3944572, 459.4545907, 1880.0000000, 460.7801618, 457.8622501, 440.6223718, 404.9275617, 361.5670891, 330.7220398, 329.0087454, 357.0711600, 399.3474246, 436.0973404, 455.7639148, 460.7001793, 1881.0000000, 460.6266457, 456.3950339, 438.2670989, 402.3443295, 359.3633420, 329.2470901, 328.4457603, 357.6281958, 401.1519804, 438.8693360, 458.7691372, 463.1180066, 1882.0000000, 461.8982443, 456.2932040, 436.9213829, 400.2283578, 357.0707517, 327.2232477, 326.9725723, 357.0296035, 401.8036494, 440.8571303, 461.6402709, 466.0899828, 1883.0000000, 464.2510245, 457.5356170, 436.8658548, 399.0681105, 355.2559408, 325.1871268, 325.0174625, 355.4994520, 401.2082221, 441.6134927, 463.6874052, 468.8773776, 1884.0000000, 467.0662536, 459.7362200, 438.0009903, 399.0313413, 354.2765858, 323.6010354, 323.0822700, 353.4954864, 399.6379505, 441.0889459, 464.5232500, 470.8729183, 1885.0000000, 469.6814615, 462.3241898, 439.9569654, 399.9942941, 354.2322868, 322.7368734, 321.5705792, 351.5048337, 397.5534523, 439.5510300, 464.1052150, 471.7356487, 1886.0000000, 471.5675338, 464.7261456, 442.2529958, 401.6592415, 355.0310047, 322.6878214, 320.7420641, 349.9399415, 395.4557695, 437.4430948, 462.6528454, 471.3823173, 1887.0000000, 472.3727991, 466.4305088, 444.3595891, 403.6037111, 356.4214263, 323.3822949, 320.7024456, 349.0951449, 393.8125128, 435.3066451, 460.6134217, 470.0213116, 1888.0000000, 472.0150850, 467.1050925, 445.8066024, 405.3582886, 358.0370257, 324.5987187, 321.3906207, 349.0972564, 392.9614494, 433.6474293, 458.5292489, 468.0690489, 1889.0000000, 470.6686760, 466.6450017, 446.2615578, 406.4822128, 359.4515172, 325.9996333, 322.5942680, 349.9035806, 393.0854151, 432.8859691, 456.9763458, 466.1059770, 1890.0000000, 468.7671589, 465.2298718, 445.6202121, 406.6522675, 360.2393921, 327.1549731, 323.9375977, 351.2533087, 394.1271677, 433.2398209, 456.4350440, 464.7692971, 1891.0000000, 466.9538488, 463.3570906, 444.1186918, 405.8159452, 360.1228182, 327.6531182, 324.9435324, 352.6708925, 395.7226213, 434.5873047, 457.0995772, 464.5399944, 1892.0000000, 465.8903140, 461.7200232, 442.3179285, 404.2824281, 359.1324728, 327.2868029, 325.2133958, 353.6120918, 397.2805720, 436.4530787, 458.7643288, 465.5482806, 1893.0000000, 466.0128658, 460.9610610, 440.9105508, 402.6289126, 357.6233058, 326.1580034, 324.5939838, 353.6640141, 398.1689944, 438.1256617, 460.8371780, 467.4778925, 1894.0000000, 467.3446773, 461.4237834, 440.4640290, 401.4943789, 356.1619162, 324.6748273, 323.2866707, 352.7622676, 398.0089385, 438.9573505, 462.5657762, 469.6709703, 1895.0000000, 469.4661285, 462.9968974, 441.1687267, 401.2855941, 355.2494226, 323.3335375, 321.7176926, 351.1837007, 396.8160295, 438.6340127, 463.3651750, 471.4338411, 1896.0000000, 471.7477903, 465.2475154, 442.8605597, 402.0996675, 355.1732551, 322.5327354, 320.3411081, 349.3733063, 394.9073335, 437.2046902, 462.9587924, 472.2379800, 1897.0000000, 473.5568956, 467.5941536, 445.1365766, 403.7713983, 355.9896546, 322.5000126, 319.5188463, 347.7929972, 392.7565404, 435.0017906, 461.3993633, 471.8236830, 1898.0000000, 474.3992499, 469.4472134, 447.4661475, 405.9428521, 357.5493797, 323.2768926, 319.4630312, 346.8174521, 390.8591389, 432.5208866, 459.0174509, 470.2408483, 1899.0000000, 474.0314352, 470.3510493, 449.3233687, 408.1615336, 359.5573690, 324.7432176, 320.2255110, 346.6806926, 389.6269335, 430.2792992, 456.2883513, 467.7683904, 1900.0000000, 472.4503913, 470.0267958, 450.2514406, 409.9404605, 361.6173336, 326.6473431, 321.7165245, 347.4816567, 389.3758228, 428.7830978, 453.7954999, 464.9072974, 1901.0000000, 469.9338349, 468.4535842, 449.9526662, 410.8230267, 363.2565446, 328.5950148, 323.6655250, 349.1185797, 390.2307596, 428.4084464, 452.1082122, 462.2867214, 1902.0000000, 467.0142399, 465.9288675, 448.4175337, 410.5310637, 364.0475559, 330.1251902, 325.6507243, 351.2756231, 392.0724510, 429.3099118, 451.6598168, 460.5347258, 1903.0000000, 464.3760499, 463.0320926, 445.9740569, 409.0796176, 363.7409053, 330.8217535, 327.1703178, 353.4409788, 394.4934737, 431.3186739, 452.6002098, 460.1070607, 1904.0000000, 462.6916840, 460.5095798, 443.2624194, 406.8518650, 362.4104505, 330.4831557, 327.8002730, 355.0239780, 396.8450860, 433.8957142, 454.6585776, 461.0766024, 1905.0000000, 462.3661917, 459.0156050, 441.0335809, 404.5108285, 360.4948100, 329.2730886, 327.4219116, 355.6210426, 398.4847008, 436.3033709, 457.1989509, 463.0651042, 1906.0000000, 463.3503302, 458.8291389, 439.8173016, 402.6908648, 358.5791735, 327.6253707, 326.2578398, 355.1815272, 399.0446245, 437.9108726, 459.4908408, 465.4299460, 1907.0000000, 465.2249052, 459.8267036, 439.7905303, 401.7954494, 357.1736642, 326.0508976, 324.7447715, 353.9806871, 398.5275230, 438.3909647, 460.9466191, 467.4822072, 1908.0000000, 467.3605769, 461.5631953, 440.7683999, 401.9034693, 356.5586126, 324.9522222, 323.3467073, 352.4721453, 397.2531303, 437.7956884, 461.3044651, 468.7220941, 1909.0000000, 469.1554468, 463.4749216, 442.3453017, 402.8320319, 356.7682958, 324.5383904, 322.4106527, 351.1023922, 395.6757046, 436.4393627, 460.6161595, 468.9183789, 1910.0000000, 470.1682949, 465.0313990, 444.0357381, 404.2448044, 357.6559248, 324.8428516, 322.1352354, 350.2256935, 394.2577090, 434.7705404, 459.1641189, 468.0923891, 1911.0000000, 470.1587809, 465.8047630, 445.3478362, 405.7137679, 358.9371146, 325.7474893, 322.5722784, 350.0776271, 393.4123211, 433.3023698, 457.4161091, 466.5253123, 1912.0000000, 469.1475097, 465.5602885, 445.8723951, 406.7825836, 360.2202231, 326.9832786, 323.6003178, 350.7165370, 393.4088447, 432.4904781, 455.9060541, 464.6818164, 1913.0000000, 467.4077569, 464.3149011, 445.3821611, 407.0701363, 361.0885075, 328.1839259, 324.9520864, 352.0261527, 394.3472296, 432.6786841, 455.1630604, 463.1471950, 1914.0000000, 465.4384757, 462.3613765, 443.8984552, 406.3503129, 361.1625726, 328.9148096, 326.2050478, 353.6646228, 396.0658449, 433.9753611, 455.5771192, 462.5123846, 1915.0000000, 463.9003358, 460.2826220, 441.7906657, 404.7103793, 360.2718227, 328.8200964, 326.8833747, 355.1040011, 398.1012225, 436.1304631, 457.2116420, 463.1521253, 1916.0000000, 463.3973495, 458.7814522, 439.6986698, 402.5845015, 358.5791331, 327.7998100, 326.6516028, 355.8050933, 399.8015624, 438.5518361, 459.7124204, 465.0450713, 1917.0000000, 464.2377853, 458.4213851, 438.3055092, 400.6103796, 356.5480515, 326.0827814, 325.4768131, 355.4446684, 400.5681827, 440.4928481, 462.3940490, 467.7459494, 1918.0000000, 466.3025835, 459.4148987, 438.0860519, 399.3926336, 354.7708181, 324.1502228, 323.6647018, 354.0722437, 400.1137384, 441.3450157, 464.4820936, 470.5250567, 1919.0000000, 469.0677242, 461.5316991, 439.1189888, 399.2566274, 353.7120590, 322.5099224, 321.6985399, 352.0602943, 398.5659429, 440.8881602, 465.4417507, 472.6896295, 1920.0000000, 471.8640415, 464.2692941, 441.1552971, 400.2172819, 353.5964277, 321.5271859, 320.0340355, 349.8939116, 396.3152036, 439.2554027, 465.0621384, 473.7433829, 1921.0000000, 474.0566788, 467.0162323, 443.7416780, 402.0503265, 354.4249055, 321.3877097, 319.0119729, 348.0435811, 393.8791390, 436.8486026, 463.4678389, 473.4805591, 1922.0000000, 475.1800021, 469.1856779, 446.3286547, 404.3636744, 356.0072673, 322.0927414, 318.8113835, 346.8671082, 391.7628089, 434.2011286, 461.0425771, 472.0002866, 1923.0000000, 475.0240803, 470.3353389, 448.3838941, 406.6825521, 358.0159729, 323.4852442, 319.4483861, 346.5716665, 390.3712322, 431.8523864, 458.3085105, 469.6403345, 1924.0000000, 473.6409885, 470.2282770, 449.4733712, 408.5217868, 360.0380967, 325.2839472, 320.7952396, 347.2157237, 389.9884826, 430.2981821, 455.8670989, 466.9402789, 1925.0000000, 471.3570589, 468.8909601, 449.3360004, 409.4435308, 361.5995533, 327.0741680, 322.5443689, 348.6481537, 390.6889853, 429.8802859, 454.2825061, 464.5564606, 1926.0000000, 468.7565259, 466.6870591, 448.0304261, 409.2263219, 362.3077225, 328.4034062, 324.2546493, 350.5053262, 392.2835040, 430.6793345, 453.9313196, 463.0911028, 1927.0000000, 466.5326049, 464.2363977, 445.9483707, 407.9580962, 361.9789899, 328.9014154, 325.4409768, 352.2542403, 394.3026944, 432.4347446, 454.8676456, 462.9235359, 1928.0000000, 465.3148286, 462.2816822, 443.7657873, 406.0898209, 360.7727620, 328.4540968, 325.7538910, 353.3479429, 396.0896725, 434.5421729, 456.7141007, 464.0080111, 1929.0000000, 465.4009643, 461.3974815, 442.1928834, 404.2880461, 359.1721628, 327.3009816, 325.1703126, 353.4802395, 397.0706452, 436.2734525, 458.7795247, 465.8653325, 1930.0000000, 466.6215276, 461.7457750, 441.6651814, 403.1305063, 357.7501447, 325.9084170, 323.9893708, 352.7146287, 397.0046746, 437.0946043, 460.3665607, 467.8184233, 1931.0000000, 468.4725355, 463.0912154, 442.2438446, 402.9209758, 356.9468291, 324.7547125, 322.6594151, 351.3904035, 396.0061707, 436.8054623, 460.9835213, 469.2156422, 1932.0000000, 470.3034762, 464.9250690, 443.6589891, 403.6513006, 356.9672787, 324.1875021, 321.6180838, 349.9775086, 394.4665916, 435.5748554, 460.4919289, 469.6441945, 1933.0000000, 471.5434653, 466.6620622, 445.4473316, 405.0651041, 357.7723979, 324.3506446, 321.1606601, 348.8956234, 392.8575921, 433.7880935, 459.0493863, 468.9751757, 1934.0000000, 471.8176070, 467.7889770, 447.0979199, 406.7758304, 359.1575917, 325.2214784, 321.4348829, 348.4608377, 391.6330619, 431.9338904, 457.0263306, 467.3385346, 1935.0000000, 470.9786043, 467.9293005, 448.1216954, 408.3221529, 360.7879236, 326.6262361, 322.4362278, 348.8559046, 391.1698325, 430.5255638, 454.9395492, 465.1042066, 1936.0000000, 469.1464206, 466.9247192, 448.1416100, 409.2359742, 362.2319129, 328.2439886, 323.9874483, 350.0840195, 391.6922868, 430.0012428, 453.3507867, 462.8130971, 1937.0000000, 466.7022374, 464.9003244, 447.0055971, 409.1616947, 363.0544904, 329.6621146, 325.7584942, 351.9563936, 393.2271509, 430.6474484, 452.7688404, 461.0814917, 1938.0000000, 464.2254843, 462.2587326, 444.8397586, 407.9415432, 362.8972387, 330.4267909, 327.2781041, 354.0603708, 395.5294372, 432.4924592, 453.5276725, 460.4882479, 1939.0000000, 462.4197929, 459.6761660, 442.1329439, 405.7723308, 361.6619411, 330.2094389, 328.0551953, 355.8139652, 398.0488592, 435.1802508, 455.5863271, 461.3279242, 1940.0000000, 461.8531700, 457.8759890, 439.5975604, 403.1889759, 359.6095614, 328.9841013, 327.7947508, 356.6790901, 400.0926156, 438.0408168, 458.4894268, 463.4746093, 1941.0000000, 462.7468672, 457.3722685, 437.9179628, 400.8776215, 357.2806651, 327.0642358, 326.5413805, 356.3906694, 401.0879169, 440.3121363, 461.4954452, 466.3954524, 1942.0000000, 464.8788613, 458.2790266, 437.4967705, 399.4112642, 355.2762604, 324.9701456, 324.6595159, 355.0670689, 400.8131259, 441.4328606, 463.8476480, 469.3444481, 1943.0000000, 467.6775409, 460.2971586, 438.3399231, 399.0573709, 354.0290383, 323.2049786, 322.6526901, 353.1230197, 399.4538795, 441.2453377, 465.0633333, 471.6598033, 1944.0000000, 470.4748470, 462.8948120, 440.1468523, 399.7723921, 353.7124388, 322.0976384, 320.9574238, 351.0432094, 397.4211287, 439.9227884, 464.9863226, 472.9004095, 1945.0000000, 472.6792266, 465.4811834, 442.4596941, 401.3082702, 354.2953954, 321.8025206, 319.8884531, 349.2806266, 395.2273973, 437.8791850, 463.7705979, 472.9037424, 1946.0000000, 473.8710184, 467.5052144, 444.7436872, 403.2650230, 355.5642441, 322.2905439, 319.5931067, 348.1638222, 393.3552285, 435.6379264, 461.8081359, 471.7974554, 1947.0000000, 473.8847544, 468.5727351, 446.5027365, 405.1829975, 357.1865917, 323.3866792, 320.0625973, 347.8727156, 392.1862433, 433.7229421, 459.6202845, 469.9380983, 1948.0000000, 472.8111675, 468.4967960, 447.3481769, 406.6027987, 358.7510129, 324.7910256, 321.1365957, 348.4252319, 391.9623083, 432.5964988, 457.7901896, 467.8691447, 1949.0000000, 471.0068160, 467.3578162, 447.0825737, 407.1394910, 359.8111693, 326.0887771, 322.4830899, 349.6269543, 392.7058039, 432.5520253, 456.8498611, 466.2384367, 1950.0000000, 469.0768474, 465.5719006, 445.8400075, 406.6492334, 360.0317317, 326.8517803, 323.6486299, 351.0647847, 394.1478503, 433.5782485, 457.0933353, 465.5913498, 1951.0000000, 467.6940199, 463.7826768, 444.0801685, 405.3161342, 359.3271220, 326.7870044, 324.1898110, 352.2004300, 395.7610536, 435.3152882, 458.4595823, 466.2015730, 1952.0000000, 467.4093557, 462.6956145, 442.4938477, 403.6564191, 357.9553282, 325.8890283, 323.8544074, 352.5483651, 396.8889845, 437.0894115, 460.4506255, 467.8819333, 1953.0000000, 468.3835188, 462.7727461, 441.7224188, 402.3246883, 356.4442493, 324.4872474, 322.7387997, 351.9288763, 397.0541104, 438.2032691, 462.3313261, 470.0537760, 1954.0000000, 470.3189778, 464.0425090, 442.0844725, 401.8190095, 355.3369574, 323.0706058, 321.2158296, 350.5232232, 396.1499700, 438.2271218, 463.4427250, 472.0089927, 1955.0000000, 472.6294175, 466.1582642, 443.5221861, 402.3368225, 354.9962205, 322.0790093, 319.7427131, 348.7352243, 394.4065502, 437.0932620, 463.3947547, 473.1406860, 1956.0000000, 474.6549864, 468.5624638, 445.6945458, 403.7919638, 355.5545146, 321.8027129, 318.7247236, 347.0422247, 392.2739095, 435.0693333, 462.1512934, 473.1042918, 1957.0000000, 475.8445879, 470.6481693, 448.0904844, 405.8691998, 356.9129696, 322.3306471, 318.4122152, 345.8406485, 390.2407107, 432.6057972, 459.9640599, 471.8581443, 1958.0000000, 475.8766848, 471.9157438, 450.1821959, 408.1486062, 358.8273679, 323.5987124, 318.9122026, 345.4134766, 388.7505125, 430.2205417, 457.2698074, 469.6093646, 1959.0000000, 474.6627513, 472.0129124, 451.4724522, 410.1406318, 360.9265616, 325.3941706, 320.1789010, 345.9030244, 388.1534414, 428.4325646, 454.6320846, 466.8040119, 1960.0000000, 472.4008244, 470.8363299, 451.6044067, 411.3687321, 362.7546467, 327.3642226, 321.9978895, 347.2707409, 388.6351679, 427.6616958, 452.6315095, 464.0405338, 1961.0000000, 469.5512028, 468.5845785, 450.4716181, 411.4889354, 363.8623499, 329.0658819, 323.9962115, 349.2724444, 390.1598241, 428.1405688, 451.7552515, 461.9599810, 1962.0000000, 466.7607019, 465.7497478, 448.2844318, 410.4028083, 363.9211324, 330.0503265, 325.6853531, 351.4537307, 392.4152430, 429.8164872, 452.2674080, 461.1076929, 1963.0000000, 464.7469794, 463.0651561, 445.6120812, 408.3863123, 362.8948362, 330.0296084, 326.5925530, 353.2224567, 394.8022223, 432.2454264, 454.0177556, 461.6783787, 1964.0000000, 464.0150088, 461.2410256, 443.2013119, 406.0394581, 361.1210579, 329.0546827, 326.4958514, 354.1015468, 396.6573861, 434.7333217, 456.4722281, 463.4338266, 1965.0000000, 464.6700076, 460.6985886, 441.6831112, 404.0366454, 359.1624197, 327.4872014, 325.5115493, 353.9171425, 397.5006972, 436.5793474, 458.8904307, 465.7811296, 1966.0000000, 466.3890651, 461.4379073, 441.3586856, 402.8783637, 357.5811528, 325.8413405, 324.0327600, 352.8584924, 397.2221186, 437.3475512, 460.6110846, 468.0095061, 1967.0000000, 468.5738508, 463.0884214, 442.1427827, 402.7438472, 356.7376118, 324.5680026, 322.5343501, 351.3466076, 396.0645719, 436.9849357, 461.2698028, 469.5458376, 1968.0000000, 470.5920755, 465.1010144, 443.6805571, 403.5196786, 356.7356922, 323.9333894, 321.4001265, 349.8344807, 394.4479805, 435.7313527, 460.8220264, 470.0680813, 1969.0000000, 471.9404319, 466.9237381, 445.5059368, 404.9185055, 357.4909033, 324.0336989, 320.8844919, 348.7167578, 392.8465779, 434.0076331, 459.4852869, 469.5134502, 1970.0000000, 472.2976336, 468.0710042, 447.1038353, 406.5221084, 358.7501941, 324.7915051, 321.0812866, 348.2652426, 391.6929978, 432.3177824, 457.6855388, 468.0960401, 1971.0000000, 471.6095601, 468.2472195, 448.0360474, 407.8819617, 360.1578946, 325.9893413, 321.9274012, 348.5959252, 391.3020596, 431.1355115, 455.9356603, 466.2196702, 1972.0000000, 470.0598336, 467.3722641, 447.9973325, 408.5769633, 361.2974838, 327.2919000, 323.2075521, 349.6571470, 391.8387548, 430.8541149, 454.7832710, 464.4477778, 1973.0000000, 468.0852111, 465.6479327, 446.9137974, 408.3098181, 361.7589255, 328.2752063, 324.5448979, 351.1810580, 393.2314733, 431.6679853, 454.6795359, 463.3925140, 1974.0000000, 466.3191577, 463.5818538, 445.0472862, 407.0579765, 361.2886480, 328.5423449, 325.4685419, 352.6914520, 395.1089677, 433.4409130, 455.7969979, 463.5100926, 1975.0000000, 465.4027163, 461.8585464, 442.9641063, 405.1454266, 359.9332051, 327.8971188, 325.5843312, 353.6430577, 396.8760906, 435.6930594, 457.9257531, 464.9267815, 1976.0000000, 465.7706628, 461.1249951, 441.3700546, 403.1687877, 358.0669565, 326.4550623, 324.7431824, 353.6157511, 397.8835143, 437.6911126, 460.4535802, 467.3112055, 1977.0000000, 467.4368479, 461.7223152, 440.8387027, 401.7812698, 356.2752022, 324.6425936, 323.1597556, 352.5484243, 397.7426904, 438.7684668, 462.6091059, 469.9935200, 1978.0000000, 469.9783783, 463.5435865, 441.5709191, 401.4045451, 355.0763963, 322.9733402, 321.2741136, 350.7224020, 396.4574470, 438.5822056, 463.7706422, 472.2480824, 1979.0000000, 472.7471917, 466.1520684, 443.4107785, 402.1514118, 354.7776657, 321.8672619, 319.5617678, 348.5998899, 394.3491335, 437.1648032, 463.6253915, 473.5034648, 1980.0000000, 475.0748555, 468.9468294, 445.9520676, 403.8651513, 355.4500213, 321.5706565, 318.4069749, 346.6674259, 391.9121122, 434.8535932, 462.2087709, 473.4655447, 1981.0000000, 476.4297373, 471.3096044, 448.6500609, 406.1859466, 356.9497350, 322.1342599, 318.0336011, 345.3141358, 389.6562686, 432.1506824, 459.8411606, 472.1561653, 1982.0000000, 476.5321100, 472.7539095, 450.9637519, 408.6631013, 358.9938106, 323.4539562, 318.5114516, 344.7943727, 388.0150524, 429.5915265, 457.0021083, 469.8375670, 1983.0000000, 475.3422392, 472.9576299, 452.4028219, 410.7941481, 361.1856171, 325.2852311, 319.7602755, 345.2180419, 387.3178051, 427.6973915, 454.2876590, 467.0102174, 1984.0000000, 473.1208970, 471.8717168, 452.6439247, 412.1110596, 363.0565079, 327.2471748, 321.5263326, 346.4989360, 387.7021595, 426.8541949, 452.2718485, 464.2992384, 1985.0000000, 470.3805708, 469.7584845, 451.6385102, 412.3083276, 364.1716002, 328.8889021, 323.4083503, 348.3452914, 389.0710265, 427.2352981, 451.4027243, 462.3405441, 1986.0000000, 467.8005796, 467.1734471, 449.6755490, 411.3619148, 364.2577937, 329.7916583, 324.9191690, 350.2710230, 391.0457098, 428.6966679, 451.8520355, 461.6088266, 1987.0000000, 466.0655431, 464.8604246, 447.3736229, 409.6209966, 363.3574748, 329.7369273, 325.6367367, 351.7036461, 393.0034387, 430.7235002, 453.3663204, 462.1905269, 1988.0000000, 465.5919704, 463.4787618, 445.4749763, 407.7244094, 361.8777038, 328.8615749, 325.4303386, 352.2486192, 394.3283596, 432.6109098, 455.3384267, 463.7312368, 1989.0000000, 466.3537462, 463.3296397, 444.5238886, 406.3057158, 360.3866336, 327.5732807, 324.4976854, 351.8408806, 394.6538291, 433.7378233, 457.0450939, 465.5903471, 1990.0000000, 467.9336862, 464.2979101, 444.7118191, 405.7817821, 359.3992776, 326.3781008, 323.2657297, 350.7496619, 393.9886754, 433.7940965, 457.9135101, 467.0807201, 1991.0000000, 469.6926289, 465.9267311, 445.8484833, 406.2326623, 359.1978032, 325.6758976, 322.1902217, 349.4196705, 392.6524042, 432.8455588, 457.7021659, 467.7136045, 1992.0000000, 471.0239072, 467.6374795, 447.5138737, 407.4680925, 359.8151118, 325.6753059, 321.6148275, 348.2913047, 391.0971452, 431.2160230, 456.4817566, 467.2737016, 1993.0000000, 471.4878808, 468.8857695, 449.2022736, 409.1362211, 361.0978676, 326.4094939, 321.7392459, 347.7188645, 389.7865432, 429.3646039, 454.5574641, 465.8081566, 1994.0000000, 470.8571960, 469.2347704, 450.3954203, 410.7794521, 362.7401614, 327.7483022, 322.6087113, 347.9323016, 389.1288090, 427.8062367, 452.4145379, 463.6298672, 1995.0000000, 469.1841726, 468.4658099, 450.6794712, 411.9245344, 364.3337034, 329.4130515, 324.0987566, 348.9890716, 389.3905387, 426.9933744, 450.5898708, 461.2164636, 1996.0000000, 466.7600252, 466.6053176, 449.8182004, 412.1660076, 365.4344289, 331.0176058, 325.9334527, 350.7742511, 390.6778020, 427.2766692, 449.6237926, 459.1751249, 1997.0000000, 464.1151688, 463.9754248, 447.8444740, 411.2651951, 365.6354712, 332.0998412, 327.6726548, 352.9413403, 392.8340706, 428.7717467, 449.9122167, 458.1073764, 1998.0000000, 461.9309950, 461.1863292, 445.1471203, 409.3077694, 364.7435871, 332.2718134, 328.8125504, 354.9498456, 395.4021662, 431.2469001, 451.5392756, 458.4077907, 1999.0000000, 460.8350121, 458.9695189, 442.3924136, 406.7379330, 362.9075796, 331.3998201, 328.9763900, 356.2276066, 397.7208705, 434.1270788, 454.1826059, 460.0906232, 2000.0000000, 461.1728493, 457.9309944, 440.3071161, 404.2259968, 360.5994026, 329.6917263, 328.0853044, 356.3939596, 399.1452090, 436.6480958, 457.1661632, 462.7342075, 2001.0000000, 462.8561378, 458.3210285, 439.4117503, 402.4235055, 358.4464505, 327.6405972, 326.4274123, 355.4544597, 399.3356791, 438.1663848, 459.7110765, 465.6266469, 2002.0000000, 465.3881317, 459.9397217, 439.8187528, 401.6923490, 356.9466240, 325.7745798, 324.4833838, 353.7477137, 398.3598259, 438.4008414, 461.2461661, 468.0713529, 2003.0000000, 468.1172164, 462.3126440, 441.3126098, 402.0847378, 356.3627843, 324.4923758, 322.7290517, 351.7540324, 396.5705197, 437.4258835, 461.5094698, 469.5455820, 2004.0000000, 470.4067350, 464.8411608, 443.4596821, 403.3995280, 356.7214391, 324.0061955, 321.5278677, 349.9521085, 394.4665710, 435.5977129, 460.5717580, 469.8062638, 2005.0000000, 471.7794270, 466.9477265, 445.7295394, 405.2656973, 357.8534990, 324.3389307, 321.0801470, 348.7142547, 392.5476110, 433.4154876, 458.7630553, 468.9028606, 2006.0000000, 471.9982559, 468.1889310, 447.6066911, 407.2326316, 359.4565202, 325.3583805, 321.4264400, 348.2686485, 391.2271111, 431.4009403, 456.5610078, 467.1162753, 2007.0000000, 471.0665556, 468.2995980, 448.6505063, 408.8233321, 361.1330191, 326.8014889, 322.4600152, 348.6971316, 390.8083658, 430.0546195, 454.5483017, 464.9493554, 2008.0000000, 469.2713026, 467.2797371, 448.5930255, 409.6086037, 362.4243678, 328.2706590, 323.8909156, 349.8670435, 391.3823954, 429.7232252, 453.2730994, 463.0202176, 2009.0000000, 467.1465785, 465.4469810, 447.4643524, 409.3590742, 362.9449738, 329.3283349, 325.2978146, 351.4387682, 392.7865791, 430.5112129, 453.1237526, 461.9237106, 2010.0000000, 465.3600099, 463.3863688, 445.6248284, 408.1435365, 362.5052467, 329.6075549, 326.2042958, 352.8923943, 394.5680211, 432.1754509, 454.1674112, 462.0420842, 2011.0000000, 464.5305254, 461.8193826, 443.7269356, 406.3958928, 361.2574567, 328.9955332, 326.2675792, 353.6900774, 396.0804480, 434.1230828, 456.0374839, 463.3355834, 2012.0000000, 464.9537763, 461.3098610, 442.4651796, 404.7685424, 359.6774103, 327.7322836, 325.4714030, 353.5368462, 396.7629348, 435.6382315, 458.0532009, 465.3330727, 2013.0000000, 466.4649615, 462.0191717, 442.2688682, 403.8298242, 358.3292094, 326.2787241, 324.1134358, 352.4977009, 396.3770111, 436.1873370, 459.5149602, 467.3548540, 2014.0000000, 468.5595952, 463.7143880, 443.2034373, 403.8884740, 357.6585715, 325.1200919, 322.6515569, 350.9243903, 395.0497506, 435.5777353, 459.9290883, 468.7384995, 2015.0000000, 470.5721520, 465.8722719, 444.9880877, 404.9296884, 357.8671283, 324.6030437, 321.5253452, 349.2929226, 393.1824215, 433.9883576, 459.1621738, 469.0684191, 2016.0000000, 471.9230962, 467.8985007, 447.1550405, 406.6983478, 358.9205577, 324.8775386, 321.0368734, 348.0307142, 391.2554026, 431.8120238, 457.3729061, 468.2058657, 2017.0000000, 472.2177741, 469.2566427, 449.1749986, 408.7993506, 360.6149133, 325.9272258, 321.3432889, 347.4653891, 389.7359444, 429.5512117, 454.9411852, 466.2802554, 2018.0000000, 471.2943916, 469.5444073, 450.5314353, 410.7520176, 362.6080040, 327.5811252, 322.4487723, 347.7914719, 389.0142050, 427.7333544, 452.3981408, 463.6700458, 2019.0000000, 469.2696333, 468.5866594, 450.8226228, 412.0667516, 364.4577712, 329.5191639, 324.1849203, 349.0246374, 389.3268868, 426.8073017, 450.3126558, 460.9177564, 2020.0000000, 466.5155039, 466.4849765, 449.8618768, 412.3536384, 365.7068540, 331.3228350, 326.2310505, 350.9971569, 390.7280172, 427.0866851, 449.2176943, 458.6594068, 2021.0000000, 463.6232845, 463.6381349, 447.7519333, 411.4183719, 365.9609584, 332.5147663, 328.1091768, 353.3055947, 392.9915500, 428.6192668, 449.4629963, 457.4867888, 2022.0000000, 461.3074654, 460.7266764, 444.9720577, 409.4327199, 365.0896212, 332.7393065, 329.3165025, 355.3777751, 395.5954331, 431.0844601, 451.0375889, 457.7167682, 2023.0000000, 460.1517625, 458.4827455, 442.2317917, 406.9123300, 363.3202735, 331.9324892, 329.5281723, 356.6661569, 397.8647015, 433.8487760, 453.5263308, 459.2551170, 2024.0000000, 460.4006251, 457.4388024, 440.2275642, 404.5426688, 361.1755880, 330.3751138, 328.7501209, 356.8759739, 399.2226271, 436.1763384, 456.2274622, 461.6057835, 2025.0000000, 461.8594573, 457.7296324, 439.3793436, 402.9083473, 359.2566881, 328.5722690, 327.3172959, 356.0916795, 399.4285937, 437.5177956, 458.4214561, 464.0642669, 2026.0000000, 463.9880676, 459.0745632, 439.7025719, 402.2814589, 357.9951821, 327.0157945, 325.7076598, 354.6890591, 398.6319869, 437.7036405, 459.6482297, 466.0124491, 2027.0000000, 466.1633482, 460.9762264, 440.9197436, 402.6339852, 357.5748225, 326.0373766, 324.3477061, 353.1265424, 397.2048026, 436.8763397, 459.7475131, 467.0316763, 2028.0000000, 467.8254624, 462.8688130, 442.5855424, 403.7218907, 357.9654413, 325.7909141, 323.5468275, 351.8401028, 395.6299559, 435.4195366, 458.8643609, 466.9808591, 2029.0000000, 468.5959983, 464.2430899, 444.1931933, 405.1571161, 358.9553507, 326.2450585, 323.4466590, 351.1440917, 394.3611345, 433.8174969, 457.3597293, 465.9839006, 2030.0000000, 468.3344685, 464.7438155, 445.2809493, 406.4995923, 360.2186720, 327.2247278, 324.0350580, 351.2099885, 393.7598154, 432.5607778, 455.7192479, 464.3776663, 2031.0000000, 467.1390186, 464.2129205, 445.4934101, 407.3129450, 361.3534145, 328.4303949, 325.1486977, 352.0504802, 394.0571327, 432.0888654, 454.4948781, 462.6809975, 2032.0000000, 465.3636217, 462.7542518, 444.6705078, 407.2444570, 361.9293247, 329.4484401, 326.4476919, 353.4592491, 395.2598140, 432.6713004, 454.1826964, 461.5014109, 2033.0000000, 463.5859273, 460.7827814, 442.9708064, 406.1848877, 361.6391076, 329.8655016, 327.4824688, 355.0221657, 397.0973374, 434.2922365, 455.0626299, 461.3588121, 2034.0000000, 462.4503446, 458.9253005, 440.8568036, 404.3358523, 360.4158747, 329.3974874, 327.8057132, 356.1880579, 399.0285245, 436.5828198, 457.0656559, 462.5137750, 2035.0000000, 462.4896234, 457.8724094, 439.0192654, 402.2312527, 358.5436156, 328.0601462, 327.1731576, 356.4637233, 400.3801490, 438.8557002, 459.6887527, 464.7761400, 2036.0000000, 463.8557615, 458.0726336, 438.0904605, 400.5296453, 356.5668805, 326.2037083, 325.6949845, 355.6669953, 400.6554063, 440.3892141, 462.1820169, 467.5653600, 2037.0000000, 466.2545962, 459.5563994, 438.3900547, 399.7346823, 355.0424245, 324.3371947, 323.7633743, 353.9856413, 399.7322300, 440.7206290, 463.8551746, 470.1568908, 2038.0000000, 469.0990278, 461.9844032, 439.8703158, 400.0563494, 354.3510336, 322.9254528, 321.8642819, 351.8473549, 397.8437236, 439.7571055, 464.2758668, 471.9048669, 2039.0000000, 471.7040768, 464.7875886, 442.1860420, 401.4088065, 354.6314518, 322.2733142, 320.4272360, 349.7595038, 395.4633993, 437.7675179, 463.3851337, 472.4340212, 2040.0000000, 473.4969513, 467.3513722, 444.8290208, 403.4838017, 355.7931950, 322.4808466, 319.7196754, 348.1420464, 393.1015123, 435.2071682, 461.4127658, 471.6613670, 2041.0000000, 474.1146070, 469.1479283, 447.2595293, 405.8611924, 357.5978690, 323.4940126, 319.8648111, 347.3029534, 391.2341488, 432.6198563, 458.7996764, 469.7745923, 2042.0000000, 473.4357118, 469.7949800, 448.9623829, 408.0452411, 359.6747129, 325.1037204, 320.8240890, 347.3981736, 390.2313934, 430.5453190, 456.1184792, 467.2075647, 2043.0000000, 471.6296537, 469.1579043, 449.5603744, 409.5535821, 361.5718156, 326.9649530, 322.3922629, 348.4007674, 390.2950356, 429.4210832, 453.9605313, 464.5514372, 2044.0000000, 469.1291046, 467.3974839, 448.9151100, 410.0267756, 362.8404984, 328.6452263, 324.2120425, 350.0858377, 391.4119419, 429.5055466, 452.8337098, 462.4530858, 2045.0000000, 466.5650604, 464.9709765, 447.1958223, 409.3336595, 363.1349855, 329.6922511, 325.8005812, 352.0109689, 393.2868754, 430.7661785, 453.0221692, 461.4703592, 2046.0000000, 464.6531421, 462.5916660, 444.9394702, 407.7188197, 362.3996444, 329.8134502, 326.6933241, 353.6016153, 395.3452791, 432.7864590, 454.4023426, 461.8194858, 2047.0000000, 463.9065195, 460.9586649, 442.8623805, 405.7419559, 360.9347373, 329.0336874, 326.6557156, 354.3822134, 396.9372058, 434.8952861, 456.4690622, 463.2925445, 2048.0000000, 464.4576899, 460.5106666, 441.5980468, 404.0653939, 359.2824530, 327.6932445, 325.7871857, 354.1695648, 397.5826217, 436.3992303, 458.4934085, 465.3102916, 2049.0000000, 465.9981318, 461.2607661, 441.4558474, 403.1901741, 357.9983547, 326.2958897, 324.4707887, 353.1471685, 397.1721854, 436.8684753, 459.8218300, 467.1678077, 2050.0000000, 467.9331462, 462.8408064, 442.3520320, 403.2950390, 357.4395160, 325.2872604, 323.1759268, 351.7333379, 395.9525576, 436.2610095, 460.1037252, 468.3028247, 2051.0000000, 469.6357052, 464.7024517, 443.9306196, 404.2652649, 357.7087121, 324.9319336, 322.2844229, 350.3797260, 394.3456381, 434.8234552, 459.3035624, 468.3984295, 2052.0000000, 470.5991449, 466.2822377, 445.7100924, 405.7998697, 358.7127599, 325.3227461, 322.0515568, 349.4865735, 392.8378902, 432.9977621, 457.6667234, 467.4189454, 2053.0000000, 470.5202503, 467.0978392, 447.1648826, 407.4630656, 360.1812951, 326.3684216, 322.5610579, 349.3188698, 391.8594325, 431.2920629, 455.6317914, 465.5978780, 2054.0000000, 469.3635000, 466.8633663, 447.8537869, 408.7941884, 361.7445496, 327.8406716, 323.7442301, 349.9924213, 391.7295778, 430.1895280, 453.7274772, 463.3602075, 2055.0000000, 467.3341448, 465.5123058, 447.4706821, 409.3578364, 362.9656885, 329.3854563, 325.3727374, 351.4500315, 392.6150770, 430.0904423, 452.5132941, 461.2875507, 2056.0000000, 464.8919475, 463.2678344, 445.9519433, 408.8506439, 363.4155351, 330.5549498, 327.0491993, 353.4118776, 394.4431151, 431.1962795, 452.4511855, 460.0050764, 2057.0000000, 462.6870198, 460.6571442, 443.5752458, 407.2533389, 362.8288146, 330.9309425, 328.2799583, 355.3870190, 396.8429619, 433.3855426, 453.7346900, 459.9887684, 2058.0000000, 461.3780936, 458.3806027, 440.9179302, 404.8893138, 361.2354071, 330.2858031, 328.6307702, 356.7926142, 399.1996254, 436.1856116, 456.1818300, 461.4016390, 2059.0000000, 461.4373577, 457.1218942, 438.7194725, 402.3800578, 359.0179048, 328.7213661, 327.9169134, 357.1579917, 400.8167931, 438.8406528, 459.1880646, 463.9387106, 2060.0000000, 462.9105550, 457.2528866, 437.5824065, 400.4049191, 356.7798721, 326.6668316, 326.3327686, 356.3765938, 401.2478328, 440.6394172, 461.9715969, 466.9519364, 2061.0000000, 465.4139009, 458.7096226, 437.7481250, 399.4220585, 355.0698990, 324.6550950, 324.3192772, 354.7017912, 400.4386305, 441.1722838, 463.8652603, 469.7069731, 2062.0000000, 468.3189354, 461.0884757, 439.0965414, 399.5784448, 354.2271615, 323.1347294, 322.3711351, 352.5944567, 398.6763914, 440.4098120, 464.4963580, 471.5992761, 2063.0000000, 470.9569600, 463.8091043, 441.2485529, 400.7431914, 354.3467904, 322.3763809, 320.8968432, 350.5567461, 396.4475035, 438.6511245, 463.8462265, 472.2946659, 2064.0000000, 472.7864553, 466.2705425, 443.6887155, 402.5842233, 355.3069089, 322.4491286, 320.1379464, 348.9919040, 394.2601570, 436.3668520, 462.1770992, 471.7544429, 2065.0000000, 473.4914971, 467.9837816, 445.8979654, 404.6811342, 356.8529167, 323.2741713, 320.1895189, 348.1808521, 392.5684494, 434.0905231, 459.9350738, 470.1878648, 2066.0000000, 472.9850220, 468.6040951, 447.3894421, 406.5484683, 358.6061864, 324.6217544, 320.9854739, 348.2498431, 391.7185181, 432.3494971, 457.6968011, 468.0511273, 2067.0000000, 471.4768118, 468.0487459, 447.8356053, 407.7367747, 360.1242252, 326.1347906, 322.2916908, 349.1325879, 391.8697152, 431.5464706, 456.0349887, 465.9390819, 2068.0000000, 469.4274524, 466.5279180, 447.1573818, 407.9379351, 360.9870078, 327.3818662, 323.7256150, 350.5556184, 392.9464203, 431.8788457, 455.4139732, 464.4823527, 2069.0000000, 467.4842078, 464.5493955, 445.6020444, 407.1074569, 360.9213053, 327.9537739, 324.8110458, 352.0425945, 394.5816107, 433.2207200, 456.0262969, 464.1679704, 2070.0000000, 466.3244449, 462.8295742, 443.7540103, 405.5713185, 359.9649547, 327.6414968, 325.1396300, 353.0314464, 396.1569359, 435.0610710, 457.6275113, 465.0929204, 2071.0000000, 466.3651177, 462.0100207, 442.3225615, 403.9345342, 358.5044778, 326.5783424, 324.5887043, 353.1379445, 397.0630307, 436.6980578, 459.6176664, 466.9177518, 2072.0000000, 467.5976870, 462.4014805, 441.8472001, 402.8158333, 357.0938202, 325.1661485, 323.3592615, 352.3037697, 396.9334386, 437.4994232, 461.2567390, 468.9897957, 2073.0000000, 469.6019330, 463.8900599, 442.5173533, 402.6242326, 356.2388328, 323.9072694, 321.8845847, 350.8146159, 395.7950463, 437.1618549, 461.9644081, 470.6095983, 2074.0000000, 471.7313808, 466.0187051, 444.1446898, 403.4380378, 356.2152827, 323.1949053, 320.6194733, 349.1238393, 393.9828186, 435.7625435, 461.4963178, 471.2738872, 2075.0000000, 473.3640933, 468.2012973, 446.3098627, 405.0704868, 357.0575930, 323.2369711, 319.9082301, 347.6785470, 391.9627069, 433.6388322, 459.9247670, 470.7525876, 2076.0000000, 474.0371357, 469.8737646, 448.4986550, 407.1709000, 358.6177025, 324.0725017, 319.9577674, 346.8450303, 390.2189544, 431.2755964, 457.5730213, 469.0920682, 2077.0000000, 473.5039335, 470.5730716, 450.1716445, 409.2707804, 360.5864214, 325.5709912, 320.8135463, 346.8558005, 389.1686004, 429.2038394, 454.9430585, 466.6104019, 2078.0000000, 471.8054266, 470.0578458, 450.8940796, 410.8874545, 362.5580938, 327.4635112, 322.3637759, 347.7827789, 389.0957100, 427.8979076, 452.5937106, 463.7972195, 2079.0000000, 469.2238672, 468.3248000, 450.3908448, 411.5833701, 364.0719503, 329.3611028, 324.3387433, 349.5229510, 390.1237184, 427.7326398, 451.0942936, 461.2857684, 2080.0000000, 466.3019309, 465.6862554, 448.6665177, 411.0876773, 364.6983411, 330.7925607, 326.3009634, 351.7411149, 392.1130318, 428.8444158, 450.8656915, 459.7021282, 2081.0000000, 463.7370600, 462.7501513, 446.0867511, 409.4505778, 364.2109488, 331.3495013, 327.7414192, 353.9058259, 394.6263054, 431.0279462, 452.0203340, 459.4701870, 2082.0000000, 462.1813497, 460.2592252, 443.3073845, 407.0855442, 362.7192641, 330.8633942, 328.2621716, 355.4420605, 397.0178453, 433.7357341, 454.2705583, 460.6407212, 2083.0000000, 462.0156941, 458.8470952, 441.0666714, 404.6528774, 360.6673857, 329.5067222, 327.7512324, 355.9469500, 398.6378898, 436.2161131, 456.9622873, 462.8170716, 2084.0000000, 463.1762342, 458.7851806, 439.8977108, 402.8028184, 358.6663874, 327.7447696, 326.4646545, 355.3995823, 399.1375834, 437.8402571, 459.3493109, 465.3266491, 2085.0000000, 465.2038794, 459.9054287, 439.9352806, 401.9062871, 357.2074978, 326.0841439, 324.8484436, 354.0967617, 398.5495720, 438.3120826, 460.8698823, 467.4986484, 2086.0000000, 467.4791301, 461.7646249, 440.9897096, 402.0329728, 356.5608414, 324.9189631, 323.3614783, 352.4909938, 397.1949106, 437.6851339, 461.2622312, 468.8304050, 2087.0000000, 469.3954941, 463.7939795, 442.6502047, 402.9954046, 356.7576735, 324.4578521, 322.3543143, 351.0372569, 395.5411928, 436.2877662, 460.5873989, 469.0926575, 2088.0000000, 470.5064355, 465.4515669, 444.4160454, 404.4410852, 357.6364160, 324.7222786, 322.0175479, 350.0877024, 394.0568510, 434.5841308, 459.1505544, 468.3318757, 2089.0000000, 470.5952065, 466.3289523, 445.8086263, 405.9480143, 358.9117784, 325.5874179, 322.3914191, 349.8620884, 393.1365062, 433.0680228, 457.4010954, 466.8130270, 2090.0000000, 469.6688530, 466.1822253, 446.4154278, 407.0620416, 360.1979870, 326.7919868, 323.3636676, 350.4305601, 393.0654311, 432.2155954, 455.8956627, 465.0211532, 2091.0000000, 468.0151383, 465.0347540, 446.0071300, 407.3933800, 361.0653147, 327.9534187, 324.6473997, 351.6540095, 393.9197300, 432.3505461, 455.1519884, 463.5414899, 2092.0000000, 466.1431951, 463.1970894, 444.6272664, 406.7387197, 361.1542175, 328.6518391, 325.8284897, 353.1914390, 395.5304566, 433.5679271, 455.5451018, 462.9512826, 2093.0000000, 464.7024813, 461.2440210, 442.6412708, 405.1862247, 360.2993732, 328.5392778, 326.4386867, 354.5193721, 397.4335005, 435.6119088, 457.1302475, 463.6194202, 2094.0000000, 464.2960008, 459.8820419, 440.6955889, 403.1779151, 358.6720433, 327.5237800, 326.1491382, 355.1008812, 398.9697388, 437.8709287, 459.5262411, 465.4978308, 2095.0000000, 465.2115291, 459.6640731, 439.4738163, 401.3621347, 356.7546679, 325.8604299, 324.9596565, 354.6480350, 399.5700378, 439.6108139, 462.0374636, 468.1113962, 2096.0000000, 467.2890293, 460.7577323, 439.4081770, 400.3083490, 355.1153537, 324.0190328, 323.1788465, 353.2295808, 398.9808398, 440.2629641, 463.9232225, 470.7515981, 2097.0000000, 470.0138124, 462.9336470, 440.5735552, 400.3357331, 354.2118816, 322.5016696, 321.2871725, 351.2211222, 397.3412662, 439.6211886, 464.6549477, 472.7177827, 2098.0000000, 472.6953848, 465.6609929, 442.6920573, 401.4347737, 354.2504427, 321.6610708, 319.7356995, 349.1162481, 395.0675401, 437.8616945, 464.0707295, 473.5531106, 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