# 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 : -27 # 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, 494.4226643, 461.7065026, 408.6513258, 343.0562714, 279.9290009, 239.2927335, 238.9895264, 283.2892214, 356.5061095, 430.5525330, 481.4622102, 500.9580400, -2998.0000000, 492.7459253, 461.1473288, 409.1207742, 344.1626696, 281.2247700, 240.5025467, 240.0252708, 284.0172669, 356.5742911, 429.6035487, 479.5247744, 498.5233696, -2997.0000000, 490.4844744, 459.5986791, 408.5151471, 344.3904279, 281.9755956, 241.4994353, 241.1571674, 285.2047664, 357.5211817, 429.8298048, 478.7247780, 496.8240047, -2996.0000000, 488.3556720, 457.6059938, 407.0999225, 343.7285349, 281.9795851, 241.9806230, 242.0205478, 286.4470213, 358.9890753, 431.0761991, 479.2318129, 496.3517555, -2995.0000000, 487.0495829, 455.8734357, 405.4219477, 342.4728811, 281.2870742, 241.8086355, 242.3244274, 287.2994816, 360.4288457, 432.8447565, 480.7904629, 497.1994630, -2994.0000000, 486.9810641, 455.0096078, 404.1101369, 341.1225019, 280.1943734, 241.0789429, 241.9748717, 287.4489806, 361.2925903, 434.4532067, 482.7907179, 499.0199874, -2993.0000000, 488.1470214, 455.3179030, 403.6511646, 340.1941306, 279.1303715, 240.0846543, 241.1164400, 286.8411053, 361.2435512, 435.2793917, 484.4718656, 501.1333901, -2992.0000000, 490.1181325, 456.6845052, 404.2081405, 340.0197155, 278.4771476, 239.1843106, 240.0585489, 285.6915002, 360.2908689, 435.0204730, 485.2456814, 502.8311544, -2991.0000000, 492.2636090, 458.6963344, 405.6326841, 340.6757536, 278.4510432, 238.6624520, 239.1266683, 284.3421241, 358.6958400, 433.7020013, 484.8153244, 503.5597798, -2990.0000000, 493.9420754, 460.7982970, 407.5683597, 342.0297232, 279.1003483, 238.6901892, 238.5916708, 283.1639659, 356.8748027, 431.6337703, 483.2199942, 503.0380394, -2989.0000000, 494.6435551, 462.4175623, 409.5358489, 343.7828133, 280.3120905, 239.3032222, 238.6181435, 282.4674103, 355.2769799, 429.2973173, 480.7902921, 501.3051604, -2988.0000000, 494.1047714, 463.0965159, 411.0427626, 345.5401181, 281.8459015, 240.4086984, 239.2473260, 282.4523119, 354.2910321, 427.2207661, 478.0381982, 498.6756933, -2987.0000000, 492.3420313, 462.5763423, 411.6765908, 346.8836104, 283.3791643, 241.8083110, 240.4039000, 283.1960224, 354.2049771, 425.9101878, 475.5814758, 495.6944467, -2986.0000000, 489.6613240, 460.8542679, 411.1756541, 347.4249391, 284.5294722, 243.1941452, 241.8701533, 284.6038537, 355.1283531, 425.7453683, 474.0342784, 493.0625086, -2985.0000000, 486.6604601, 458.2731544, 409.5762003, 346.9567175, 284.9690762, 244.2156994, 243.3109807, 286.3907832, 356.9203786, 426.8481707, 473.8253173, 491.4376709, -2984.0000000, 484.0617671, 455.4355144, 407.2256700, 345.5386977, 284.5352746, 244.5789446, 244.3485948, 288.1227358, 359.1813453, 429.0122147, 475.0693768, 491.2677310, -2983.0000000, 482.5426075, 453.0758678, 404.7346306, 343.5367571, 283.3293321, 244.1689982, 244.6883545, 289.3280459, 361.3159066, 431.6806762, 477.4452195, 492.5820407, -2982.0000000, 482.4736569, 451.7960204, 402.7673238, 341.5121188, 281.7115979, 243.1296969, 244.2629467, 289.6951909, 362.7514304, 434.1248696, 480.2802631, 494.9587156, -2981.0000000, 483.7742649, 451.8362167, 401.7785082, 339.9852151, 280.1394496, 241.7918921, 243.2539152, 289.2000567, 363.1712744, 435.7356682, 482.8239134, 497.7210469, -2980.0000000, 486.0044534, 453.0592510, 401.9061576, 339.2728334, 278.9934626, 240.5216688, 241.9794929, 288.0587233, 362.5680517, 436.1807223, 484.4612662, 500.1459384, -2979.0000000, 488.5268557, 455.0463416, 402.9961828, 339.4505633, 278.4979272, 239.6203022, 240.7884965, 286.6383768, 361.2202606, 435.4880859, 484.8899569, 501.6772787, -2978.0000000, 490.7013999, 457.2404062, 404.6818978, 340.3700576, 278.6863493, 239.2495003, 239.9479697, 285.3089237, 359.5391768, 433.9535669, 484.1338303, 502.0331944, -2977.0000000, 492.0390832, 459.1019559, 406.5140290, 341.7501007, 279.4521326, 239.4459320, 239.6223227, 284.3792896, 357.9648946, 432.0319040, 482.4800837, 501.2112301, -2976.0000000, 492.2567393, 460.1800389, 408.0223023, 343.2185574, 280.5707051, 240.1263679, 239.8604858, 284.0586566, 356.8957647, 430.2529108, 480.4262966, 499.5001129, -2975.0000000, 491.3488262, 460.2091733, 408.8006671, 344.3664105, 281.7225853, 241.0880953, 240.5769953, 284.4108310, 356.6058206, 429.1084106, 478.5732736, 497.4278278, -2974.0000000, 489.6166476, 459.2055332, 408.6286189, 344.8535226, 282.5640175, 242.0453542, 241.5605471, 285.3330553, 357.1831783, 428.9449523, 477.4894859, 495.6385317, -2973.0000000, 487.6003714, 457.4722839, 407.5338370, 344.4913256, 282.7972213, 242.6741684, 242.4923510, 286.5432309, 358.4766002, 429.8668732, 477.5856015, 494.7723479, -2972.0000000, 486.0059852, 455.6040316, 405.8738373, 343.3694949, 282.2998813, 242.7185584, 243.0208214, 287.6109585, 360.0561401, 431.6043173, 478.8947410, 495.1938448, -2971.0000000, 485.4369503, 454.2807999, 404.2351760, 341.8660645, 281.2154639, 242.1226776, 242.9161023, 288.1222970, 361.3548791, 433.5822957, 481.0356878, 496.8488891, -2970.0000000, 486.1730431, 454.0176764, 403.2126405, 340.5035403, 279.9023160, 241.0613184, 242.1691734, 287.8435496, 361.8740361, 435.1088688, 483.3217997, 499.2637929, -2969.0000000, 488.0642174, 454.9820919, 403.1946444, 339.7521885, 278.7920391, 239.8676317, 240.9942740, 286.8153785, 361.3784253, 435.6337532, 485.0061324, 501.7119002, -2968.0000000, 490.5915891, 456.9529971, 404.2448175, 339.8716664, 278.2299172, 238.8975679, 239.7311657, 285.3203039, 359.9751422, 434.9540011, 485.5643556, 503.4930842, -2967.0000000, 493.0822391, 459.4434560, 406.1313270, 340.8642251, 278.3785671, 238.4057446, 238.7006243, 283.7287335, 357.9949878, 433.1942873, 484.7947882, 504.1133836, -2966.0000000, 494.9084083, 461.8745637, 408.4528142, 342.5472460, 279.2421477, 238.5299713, 238.1531180, 282.4112152, 355.8865491, 430.7321309, 482.8196752, 503.3588436, -2965.0000000, 495.5916610, 463.6684873, 410.7000765, 344.5818097, 280.6682762, 239.2717528, 238.2250050, 281.6602208, 354.1047931, 428.0911864, 480.0428407, 501.3481542, -2964.0000000, 494.9280227, 464.3938602, 412.3770297, 346.5514041, 282.3886326, 240.5098114, 238.9294499, 281.6501769, 353.0257270, 425.8151317, 477.0262311, 498.4674116, -2963.0000000, 493.0021385, 463.8360289, 413.0842588, 348.0265511, 284.0558605, 242.0153706, 240.1563741, 282.4192189, 352.9009804, 424.3936364, 474.4075560, 495.3186805, -2962.0000000, 490.1975591, 462.0651044, 412.6095428, 348.6399293, 285.2860006, 243.4642929, 241.6601025, 283.8316700, 353.7889754, 424.1599508, 472.7809532, 492.6236327, -2961.0000000, 487.1691848, 459.4987400, 411.0583671, 348.2315068, 285.7728531, 244.5059237, 243.0860693, 285.5597989, 355.4799502, 425.1512398, 472.4996503, 490.9993545, -2960.0000000, 484.6461485, 456.7890755, 408.8517219, 346.9353328, 285.4127467, 244.8852430, 244.0755817, 287.1628757, 357.5300792, 427.0765598, 473.5707287, 490.7930849, -2959.0000000, 483.2393473, 454.6512390, 406.6241570, 345.1686542, 284.3671608, 244.5450180, 244.3852072, 288.2069403, 359.3490988, 429.3315153, 475.5732012, 491.9069510, -2958.0000000, 483.1982836, 453.5987956, 404.9973370, 343.4934217, 283.0286859, 243.6811245, 244.0155107, 288.4620621, 360.4423218, 431.2276783, 477.8112799, 493.8359815, -2957.0000000, 484.3259946, 453.7546175, 404.3331413, 342.3744633, 281.8361849, 242.6367776, 243.1895154, 287.9794860, 360.5970039, 432.2564955, 479.5886991, 495.8899137, -2956.0000000, 486.1106978, 454.8793807, 404.6672175, 342.0473627, 281.1183994, 241.7547318, 242.2310561, 287.0204039, 359.9016683, 432.2178363, 480.4136868, 497.4154922, -2955.0000000, 487.9170510, 456.5031000, 405.7690736, 342.5115590, 281.0377928, 241.2919044, 241.4623366, 285.9522131, 358.6812050, 431.2402530, 480.1118441, 497.9633759, -2954.0000000, 489.1554303, 458.0586396, 407.2212517, 343.5537087, 281.5676265, 241.3609427, 241.1120397, 285.1222456, 357.3597165, 429.6897837, 478.8302052, 497.3885426, -2953.0000000, 489.4398860, 459.0500216, 408.5626855, 344.8486475, 282.5485618, 241.9484738, 241.2977179, 284.7966652, 356.3526743, 428.0414968, 476.9369292, 495.8113255, -2952.0000000, 488.6070918, 459.1023195, 409.3411138, 345.9978427, 283.7095861, 242.9210652, 242.0174304, 285.1325769, 356.0147021, 426.8143993, 474.9775481, 493.6293746, -2951.0000000, 486.7902776, 458.0712511, 409.2190170, 346.6033576, 284.7035447, 244.0302985, 243.1307972, 286.1307824, 356.5546799, 426.4518331, 473.5491819, 491.4309159, -2950.0000000, 484.4062344, 456.1060384, 408.0804948, 346.3747170, 285.1848061, 244.9550994, 244.3697582, 287.6133211, 357.9727603, 427.2169208, 473.1696707, 489.8707174, -2949.0000000, 482.0769240, 453.6424159, 406.0924919, 345.2262244, 284.9039763, 245.3722455, 245.3798648, 289.2291294, 360.0187908, 429.0987315, 474.1436947, 489.5234574, -2948.0000000, 480.5084717, 451.3451163, 403.7283117, 343.3662386, 283.8247027, 245.0671837, 245.8083752, 290.5030192, 362.1738171, 431.7050762, 476.3704816, 490.6359431, -2947.0000000, 480.2318644, 449.8883306, 401.6352493, 341.2739693, 282.1950175, 244.0667850, 245.4771250, 291.0335473, 363.8334117, 434.3730615, 479.3439704, 493.0140969, -2946.0000000, 481.3990150, 449.6998954, 400.3802601, 339.5011516, 280.4380601, 242.6220225, 244.4501386, 290.6444875, 364.5225435, 436.3876490, 482.3089224, 496.0819905, -2945.0000000, 483.7423254, 450.8384280, 400.2760590, 338.4895439, 279.0011190, 241.1123473, 243.0076470, 289.4531219, 364.0751134, 437.2386638, 484.5190496, 499.0749925, -2944.0000000, 486.6731685, 452.9949022, 401.3008402, 338.4365650, 278.2006960, 239.8966498, 241.5192422, 287.7954647, 362.6646994, 436.7829342, 485.4872111, 501.3013624, -2943.0000000, 489.4975081, 455.6361556, 403.1634679, 339.2889770, 278.1609665, 239.2127197, 240.3113774, 286.0729209, 360.6773838, 435.2117711, 485.0728891, 502.3111363, -2942.0000000, 491.6073016, 458.1755799, 405.4318313, 340.8221972, 278.8461003, 239.1685034, 239.6179380, 284.6566912, 358.5832686, 432.9413958, 483.4442601, 501.9346028, -2941.0000000, 492.5589409, 460.0527084, 407.5923495, 342.6752406, 280.0741869, 239.7376745, 239.5540816, 283.8298547, 356.8465788, 430.5248899, 481.0489906, 500.3411757, -2940.0000000, 492.1984706, 460.8754543, 409.1677051, 344.4272710, 281.5561631, 240.7709206, 240.1030524, 283.7391202, 355.8255480, 428.5059082, 478.4681473, 497.9523045, -2939.0000000, 490.6573407, 460.4781120, 409.7958524, 345.6645701, 282.9388841, 242.0188818, 241.1248574, 284.3876333, 355.7404970, 427.3575847, 476.3439127, 495.3963338, -2938.0000000, 488.3660954, 458.9924971, 409.3264039, 346.0644039, 283.8565488, 243.1507611, 242.3466232, 285.5942467, 356.5930123, 427.3593120, 475.2330795, 493.3819520, -2937.0000000, 485.9953657, 456.8809022, 407.9287616, 345.5305827, 284.0482752, 243.8349224, 243.4055235, 286.9933493, 358.1073558, 428.4683160, 475.4158001, 492.4763321, -2936.0000000, 484.2571477, 454.8159686, 406.0793362, 344.2724717, 283.4836074, 243.8714403, 243.9723119, 288.1384977, 359.7878516, 430.2990915, 476.7834214, 492.9150320, -2935.0000000, 483.6737570, 453.4617473, 404.4078230, 342.7454187, 282.3887011, 243.2752809, 243.8707357, 288.6438781, 361.0506427, 432.1973049, 478.8180411, 494.4806934, -2934.0000000, 484.3767617, 453.2351906, 403.4767047, 341.4979245, 281.1843896, 242.3006718, 243.1808338, 288.3698358, 361.4753472, 433.4978376, 480.7815856, 496.5738446, -2933.0000000, 486.0477995, 454.1357953, 403.5438820, 340.9259562, 280.2822734, 241.3028862, 242.1748788, 287.4545156, 360.9590846, 433.7863005, 482.0192131, 498.4837679, -2932.0000000, 488.1078576, 455.8328852, 404.5510369, 341.1863214, 279.9589405, 240.6031232, 241.1887907, 286.2139598, 359.6904179, 432.9818865, 482.1333047, 499.5968638, -2931.0000000, 489.9056938, 457.8011704, 406.1936619, 342.2042822, 280.3152604, 240.4148861, 240.5228896, 285.0259970, 358.0520039, 431.3138516, 481.0590550, 499.5429743, -2930.0000000, 490.8821611, 459.4600261, 408.0135700, 343.7163697, 281.2772113, 240.8115794, 240.3769065, 284.2278030, 356.4943722, 429.2218294, 479.0472119, 498.2737861, -2929.0000000, 490.7102988, 460.3259939, 409.5262013, 345.3559302, 282.6406018, 241.7381323, 240.8306217, 284.0555834, 355.4260346, 427.2155097, 476.5432724, 496.0050937, -2928.0000000, 489.3068729, 460.0672265, 410.2836864, 346.7028010, 284.1021213, 243.0272283, 241.8484975, 284.6349569, 355.1828599, 425.8267697, 474.1485570, 493.2225480, -2927.0000000, 486.8968604, 458.6059914, 409.9755549, 347.3510355, 285.2863730, 244.3942152, 243.2494631, 285.9216532, 355.9313462, 425.4772575, 472.4780809, 490.5758165, -2926.0000000, 483.9856735, 456.1788966, 408.5463705, 347.0338212, 285.8413541, 245.4936007, 244.7291817, 287.6903434, 357.6180085, 426.3849453, 472.0335568, 488.7466443, -2925.0000000, 481.2632632, 453.3115237, 406.2471650, 345.7221104, 285.5409583, 245.9981193, 245.9073987, 289.5421029, 359.9229344, 428.4577395, 473.0483144, 488.2709885, -2924.0000000, 479.4427054, 450.7179490, 403.6244044, 343.6965638, 284.4022969, 245.7228830, 246.4389921, 290.9854127, 362.2822720, 431.2310878, 475.3347772, 489.3163083, -2923.0000000, 479.0042497, 449.0621999, 401.3537570, 341.4882720, 282.7297946, 244.7435436, 246.1834752, 291.6415309, 364.0889048, 434.0033567, 478.3120474, 491.5913267, -2922.0000000, 480.0022224, 448.6960028, 399.9613520, 339.6442091, 280.9679054, 243.3470856, 245.2504362, 291.3877261, 364.9212933, 436.0961035, 481.2276837, 494.4839205, -2921.0000000, 482.1031732, 449.6012632, 399.6925150, 338.5613831, 279.5444461, 241.9144745, 243.9395066, 290.3804025, 364.6724448, 437.0675297, 483.3914819, 497.2528987, -2920.0000000, 484.7022008, 451.4211978, 400.4637202, 338.3793409, 278.7327854, 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244.0208316, 240.3743280, 277.0551271, 339.8216517, 407.8128161, 462.4708529, 493.5501462, 1854.0000000, 498.4326704, 475.7167785, 425.2656479, 356.1215468, 288.2504605, 244.8254534, 241.4137166, 278.2637673, 340.9566079, 408.4186349, 462.1316412, 492.1842410, 1855.0000000, 496.3587675, 473.5042647, 423.4895259, 355.1120195, 288.0061534, 245.1775757, 242.2654191, 279.6163015, 342.6746303, 410.0459164, 463.0418261, 491.9487775, 1856.0000000, 494.9821625, 471.4024694, 421.2965923, 353.3845331, 286.9927483, 244.8533381, 242.5841092, 280.6658841, 344.5017197, 412.3462967, 465.1358998, 493.1264904, 1857.0000000, 494.8754009, 470.1217063, 419.3477229, 351.4053936, 285.4335657, 243.8588840, 242.1811123, 281.0173874, 345.8585731, 414.6857310, 467.9282920, 495.5440430, 1858.0000000, 496.2264298, 470.1401578, 418.2558814, 349.7504648, 283.7551933, 242.4408044, 241.1171931, 280.5009211, 346.2913042, 416.3714602, 470.6653967, 498.6093114, 1859.0000000, 498.7562981, 471.5260232, 418.3583586, 348.8828991, 282.4140450, 240.9804205, 239.6734066, 279.2393473, 345.6534639, 416.9185891, 472.6044152, 501.5288208, 1860.0000000, 501.8342424, 473.9407891, 419.6264343, 349.0058035, 281.7323343, 239.8400837, 238.2229723, 277.5761556, 344.1409598, 416.2237907, 473.2901720, 503.6055552, 1861.0000000, 504.7264841, 476.8031184, 421.7340535, 350.0469989, 281.8223382, 239.2471685, 237.0812381, 275.9004407, 342.1387160, 414.5040269, 472.6218837, 504.4109400, 1862.0000000, 506.8125214, 479.4935371, 424.2184305, 351.7628960, 282.6360898, 239.2977134, 236.4669018, 274.5619121, 340.0968616, 412.1792155, 470.8015196, 503.8127638, 1863.0000000, 507.6623098, 481.4399911, 426.5468766, 353.7793659, 283.9830999, 239.9550242, 236.4782399, 273.8139899, 338.4379597, 409.7697383, 468.2749471, 502.0012878, 1864.0000000, 507.1381543, 482.2483222, 428.2314980, 355.6703255, 285.5751425, 241.0701452, 237.0938396, 273.7868774, 337.4857815, 407.7804229, 465.6057906, 499.4080750, 1865.0000000, 505.3885170, 481.7576216, 428.9047770, 357.0195883, 287.0641308, 242.4010568, 238.1784362, 274.4790939, 337.4361496, 406.6419762, 463.3991687, 496.6461358, 1866.0000000, 502.8417764, 480.0918687, 428.3988922, 357.4902680, 288.0828028, 243.6253499, 239.4739569, 275.7277872, 338.3005375, 406.6272983, 462.2006606, 494.4264303, 1867.0000000, 500.1819161, 477.7189101, 426.8692964, 356.9624974, 288.3535140, 244.4068942, 240.6255146, 277.1894937, 339.8315607, 407.7132457, 462.3020838, 493.3345697, 1868.0000000, 498.1511787, 475.3376921, 424.7947096, 355.6237822, 287.8172432, 244.5237863, 241.2940688, 278.4275482, 341.5636555, 409.5511201, 463.6304388, 493.6505158, 1869.0000000, 497.3336901, 473.6800241, 422.8528335, 353.9429854, 286.6883645, 243.9700567, 241.2825207, 279.0462166, 342.9217816, 411.5052468, 465.6833760, 495.1757240, 1870.0000000, 497.8996151, 473.2228971, 421.6676915, 352.5081903, 285.4000674, 242.9946811, 240.6561925, 278.8896765, 343.4794765, 412.9117553, 467.7177973, 497.2992370, 1871.0000000, 499.5298073, 473.9903994, 421.5418623, 351.7593052, 284.3928275, 241.9676222, 239.6913759, 278.0923779, 343.1311450, 413.3573275, 469.0692811, 499.2797607, 1872.0000000, 501.6053645, 475.6241894, 422.4121778, 351.8630297, 283.9545497, 241.2178976, 238.7270618, 276.9671072, 342.0634314, 412.7698842, 469.3505393, 500.4973360, 1873.0000000, 503.4491765, 477.5691289, 423.9562993, 352.7405820, 284.1874843, 240.9601319, 238.0616199, 275.8826066, 340.6472353, 411.3788019, 468.5101766, 500.5907796, 1874.0000000, 504.4930734, 479.2222385, 425.6948375, 354.1156740, 285.0093198, 241.2587928, 237.8817774, 275.1532502, 339.3015123, 409.6001343, 466.7978813, 499.5256592, 1875.0000000, 504.4214787, 480.1024944, 427.1429078, 355.6243701, 286.2190084, 242.0576319, 238.2591264, 274.9943438, 338.3976402, 407.9033162, 464.6362965, 497.5164776, 1876.0000000, 503.1591202, 479.8844245, 427.8581824, 356.8557304, 287.5232974, 243.1940647, 239.1546160, 275.5137561, 338.2318221, 406.7650617, 462.5783779, 495.0223193, 1877.0000000, 500.9217209, 478.4881197, 427.5338521, 357.4172575, 288.5670080, 244.4024649, 240.4013614, 276.6728380, 338.9569445, 406.5722396, 461.1990842, 492.6637113, 1878.0000000, 498.1970107, 476.1362543, 426.1029951, 357.0403726, 289.0088396, 245.3540692, 241.7135031, 278.2637111, 340.5254186, 407.5282404, 460.9740535, 491.1008214, 1879.0000000, 495.6612657, 473.3407143, 423.7978717, 355.6798031, 288.6189638, 245.7301479, 242.7292073, 279.9169755, 342.6505073, 409.5652643, 462.1515800, 490.8864258, 1880.0000000, 494.0508129, 470.8340550, 421.1652259, 353.6001044, 287.3969973, 245.3362175, 243.1032382, 281.1546034, 344.7935276, 412.2417145, 464.5614631, 492.2134045, 1881.0000000, 493.8885605, 469.3314780, 418.9188765, 351.3453627, 285.6431609, 244.2403165, 242.6900379, 281.6005281, 346.3591179, 414.8654417, 467.6228753, 494.7938108, 1882.0000000, 495.2541632, 469.2339887, 417.6403068, 349.5023465, 283.8217928, 242.7383691, 241.6037147, 281.1363775, 346.9313933, 416.7519048, 470.5515497, 497.9678340, 1883.0000000, 497.7782687, 470.5181447, 417.5958497, 348.4962433, 282.3828090, 241.2285482, 240.1603572, 279.9369678, 346.4265954, 417.4763494, 472.6435183, 500.9463148, 1884.0000000, 500.7971136, 472.7855761, 418.6884651, 348.4717808, 281.6094269, 240.0535503, 238.7307255, 278.3618378, 345.0777660, 416.9896077, 473.5024424, 503.0801033, 1885.0000000, 503.6003408, 475.4485245, 420.5632172, 349.3192752, 281.5795855, 239.4146485, 237.6132344, 276.7944998, 343.2815342, 415.5426429, 473.0831181, 504.0042929, 1886.0000000, 505.6208409, 477.9172635, 422.7597438, 350.7775239, 282.2190224, 239.3805066, 237.0000738, 275.5602194, 341.4703189, 413.5533500, 471.6077283, 503.6291870, 1887.0000000, 506.4819625, 479.6662361, 424.7717926, 352.4768555, 283.3270785, 239.8975776, 236.9697422, 274.8916492, 340.0484867, 411.5333446, 469.5311561, 502.1767391, 1888.0000000, 506.0961305, 480.3549394, 426.1506287, 354.0072656, 284.6118772, 240.8011310, 237.4774665, 274.8897203, 339.3088359, 409.9612729, 467.4058478, 500.0913690, 1889.0000000, 504.6507317, 479.8769148, 426.5797662, 354.9844722, 285.7345045, 241.8406024, 238.3666914, 275.5219543, 339.4107769, 409.2359003, 465.8193398, 497.9930427, 1890.0000000, 502.6110622, 478.4183682, 425.9614039, 355.1276027, 286.3572886, 242.6969494, 239.3599554, 276.5840240, 340.3066426, 409.5647329, 465.2623980, 496.5627559, 1891.0000000, 500.6670298, 476.4918567, 424.5231211, 354.3927205, 286.2606214, 243.0651325, 240.1047147, 277.7020350, 341.6835747, 410.8347940, 465.9347281, 496.3149908, 1892.0000000, 499.5277689, 474.8106026, 422.8022397, 353.0515581, 285.4704177, 242.7919772, 240.3060560, 278.4471627, 343.0317399, 412.5983268, 467.6285355, 497.3896888, 1893.0000000, 499.6605989, 474.0344332, 421.4607732, 351.6090053, 284.2700340, 241.9537716, 239.8502350, 278.4931144, 343.8047543, 414.1832029, 469.7415080, 499.4497504, 1894.0000000, 501.0897255, 474.5151428, 421.0398755, 350.6226354, 283.1102010, 240.8536715, 238.8855301, 277.7875535, 343.6735417, 414.9760709, 471.5068728, 501.7927619, 1895.0000000, 503.3646930, 476.1366266, 421.7196033, 350.4462679, 282.3886873, 239.8598441, 237.7266246, 276.5471627, 342.6494385, 414.6779192, 472.3273689, 503.6775646, 1896.0000000, 505.8103589, 478.4524883, 423.3413045, 351.1630090, 282.3329032, 239.2677147, 236.7090475, 275.1217422, 341.0045696, 413.3329282, 471.9194139, 504.5390283, 1897.0000000, 507.7483071, 480.8641741, 425.5184860, 352.6270403, 282.9863567, 239.2456963, 236.1004561, 273.8751246, 339.1472005, 411.2536686, 470.3350072, 504.0989809, 1898.0000000, 508.6489761, 482.7655130, 427.7433008, 354.5246378, 284.2293247, 239.8241293, 236.0579312, 273.1029692, 337.5052887, 408.9078415, 467.9097412, 502.4099804, 1899.0000000, 508.2518667, 483.6887616, 429.5132274, 356.4600913, 285.8264427, 240.9134500, 236.6201536, 272.9904625, 336.4351730, 406.7845033, 465.1273247, 499.7693923, 1900.0000000, 506.5542529, 483.3484354, 430.3925387, 358.0082174, 287.4622240, 242.3266201, 237.7211796, 273.6166133, 336.2108819, 405.3628397, 462.5823847, 496.7120758, 1901.0000000, 503.8544207, 481.7246813, 430.0983539, 358.7712085, 288.7609817, 243.7709611, 239.1614268, 274.9024620, 336.9419259, 404.9998649, 460.8558869, 493.9101624, 1902.0000000, 500.7236187, 479.1248595, 428.6236586, 358.5078669, 289.3837336, 244.9045051, 240.6294202, 276.6003241, 338.5270603, 405.8436010, 460.3908367, 492.0349944, 1903.0000000, 497.8957557, 476.1457619, 426.2838887, 357.2334510, 289.1336302, 245.4189450, 241.7543051, 278.3077259, 340.6160079, 407.7365265, 461.3418045, 491.5741521, 1904.0000000, 496.0915132, 473.5548575, 423.6920082, 355.2844015, 288.0711008, 245.1654362, 242.2223683, 279.5591937, 342.6492255, 410.1706784, 463.4345538, 492.6063570, 1905.0000000, 495.7446237, 472.0239436, 421.5654897, 353.2404011, 286.5460373, 244.2661099, 241.9453150, 280.0356386, 344.0710932, 412.4490945, 466.0219957, 494.7282540, 1906.0000000, 496.8016498, 471.8382828, 420.4092359, 351.6547778, 285.0238434, 243.0431907, 241.0870953, 279.6954961, 344.5622575, 413.9744602, 468.3596363, 497.2536893, 1907.0000000, 498.8126262, 472.8692811, 420.3904479, 350.8783849, 283.9093803, 241.8757006, 239.9701251, 278.7541245, 344.1228137, 414.4354151, 469.8475461, 499.4465930, 1908.0000000, 501.1025305, 474.6580491, 421.3306420, 350.9783730, 283.4243441, 241.0619727, 238.9372897, 277.5680999, 343.0271732, 413.8790203, 470.2172878, 500.7725682, 1909.0000000, 503.0260607, 476.6244229, 422.8409160, 351.7935551, 283.5947969, 240.7566553, 238.2452345, 276.4891117, 341.6668110, 412.6008066, 469.5200180, 500.9839384, 1910.0000000, 504.1104259, 478.2230457, 424.4566898, 353.0292157, 284.3030464, 240.9841174, 238.0410595, 275.7967150, 340.4411011, 411.0239746, 468.0423103, 500.1028076, 1911.0000000, 504.0983724, 479.0146514, 425.7079774, 354.3110999, 285.3222822, 241.6563228, 238.3634326, 275.6773395, 339.7075598, 409.6336115, 466.2602105, 498.4290087, 1912.0000000, 503.0125000, 478.7590712, 426.2045796, 355.2409317, 286.3408596, 242.5733891, 239.1229572, 276.1780120, 339.6999802, 408.8612077, 464.7179031, 496.4586417, 1913.0000000, 501.1462566, 477.4750941, 425.7307822, 355.4868366, 287.0277120, 243.4634426, 240.1224261, 277.2082775, 340.5062582, 409.0331827, 463.9553325, 494.8169791, 1914.0000000, 499.0349061, 475.4650847, 424.3088158, 354.8529772, 287.0821112, 244.0041788, 241.0497417, 278.4998568, 341.9885506, 410.2539144, 464.3713574, 494.1357051, 1915.0000000, 497.3868246, 473.3292108, 422.2933876, 353.4174793, 286.3698851, 243.9320677, 241.5531465, 279.6373082, 343.7479809, 412.2890301, 466.0324123, 494.8158702, 1916.0000000, 496.8493126, 471.7900319, 420.2968300, 351.5609329, 285.0220076, 243.1736016, 241.3843028, 280.1953900, 345.2219664, 414.5800873, 468.5791782, 496.8355198, 1917.0000000, 497.7523290, 471.4259561, 418.9715013, 349.8405805, 283.4078828, 241.8991393, 240.5182925, 279.9180863, 345.8924119, 416.4212815, 471.3140124, 499.7196714, 1918.0000000, 499.9675812, 472.4538432, 418.7697359, 348.7835770, 281.9982802, 240.4659599, 239.1805273, 278.8426659, 345.5089864, 417.2359081, 473.4473413, 502.6890779, 1919.0000000, 502.9327275, 474.6352498, 419.7647672, 348.6724400, 281.1617012, 239.2506628, 237.7279402, 277.2612386, 344.1797215, 416.8134833, 474.4327380, 505.0034524, 1920.0000000, 505.9300964, 477.4523297, 421.7168310, 349.5184785, 281.0755453, 238.5238986, 236.4973802, 275.5553978, 342.2402004, 415.2776033, 474.0534251, 506.1320435, 1921.0000000, 508.2790992, 480.2758460, 424.1914333, 351.1243576, 281.7393823, 238.4229680, 235.7409504, 274.0959423, 340.1368440, 413.0065777, 472.4345749, 505.8542541, 1922.0000000, 509.4808502, 482.5025892, 426.6628427, 353.1466266, 283.0009553, 238.9483298, 235.5913135, 273.1653894, 338.3060762, 410.5039667, 469.9659715, 504.2752111, 1923.0000000, 509.3107993, 483.6786578, 428.6225191, 355.1702361, 284.5991485, 239.9830711, 236.0607652, 272.9279015, 337.0985882, 408.2799212, 467.1791998, 501.7551609, 1924.0000000, 507.8253472, 483.5617623, 429.6566311, 356.7717254, 286.2053623, 241.3182060, 237.0552820, 273.4306519, 336.7610640, 406.8040906, 464.6873727, 498.8702098, 1925.0000000, 505.3748969, 482.1807576, 429.5173771, 357.5697926, 287.4429488, 242.6459449, 238.3478800, 274.5557872, 337.3594758, 406.4011790, 463.0663832, 496.3215940, 1926.0000000, 502.5861466, 479.9110482, 428.2628971, 357.3728415, 288.0007345, 243.6307208, 239.6127180, 276.0178547, 338.7321384, 407.1494031, 462.7015522, 494.7531147, 1927.0000000, 500.2023370, 477.3907920, 426.2693798, 356.2597207, 287.7342513, 243.9983068, 240.4911863, 277.3974335, 340.4750583, 408.8044015, 463.6498615, 494.5707667, 1928.0000000, 498.8980888, 475.3835358, 424.1837193, 354.6258368, 286.7718133, 243.6647296, 240.7246080, 278.2631951, 342.0212509, 410.7961320, 465.5283294, 495.7265400, 1929.0000000, 498.9920627, 474.4789396, 422.6841653, 353.0536409, 285.4984384, 242.8083026, 240.2953443, 278.3725833, 342.8741025, 412.4361363, 467.6333037, 497.7091595, 1930.0000000, 500.3019159, 474.8419012, 422.1853717, 352.0467581, 284.3695448, 241.7752695, 239.4239877, 277.7740154, 342.8235465, 413.2182040, 469.2536815, 499.7955281, 1931.0000000, 502.2868519, 476.2288779, 422.7438692, 351.8688826, 283.7341929, 240.9203832, 238.4416739, 276.7335619, 341.9663423, 412.9510014, 469.8870513, 501.2892678, 1932.0000000, 504.2492541, 478.1157169, 424.1000156, 352.5111790, 283.7542041, 240.5011889, 237.6719069, 275.6209569, 340.6391806, 411.7921323, 469.3905822, 501.7488155, 1933.0000000, 505.5771898, 479.9003046, 425.8099771, 353.7483916, 284.3973365, 240.6239612, 237.3331668, 274.7670040, 339.2489191, 410.1045578, 467.9233788, 501.0357633, 1934.0000000, 505.8690723, 481.0552881, 427.3850840, 355.2420900, 285.4999989, 241.2714450, 237.5349790, 274.4213514, 338.1878384, 408.3497777, 465.8619189, 499.2882676, 1935.0000000, 504.9674712, 481.1944610, 428.3583397, 356.5891448, 286.7952893, 242.3143305, 238.2743806, 274.7289135, 337.7822902, 407.0133629, 463.7324695, 496.9010331, 1936.0000000, 503.0015300, 480.1564167, 428.3705860, 357.3812821, 287.9400400, 243.5142540, 239.4207497, 275.6933522, 338.2274454, 406.5105227, 462.1078381, 494.4517046, 1937.0000000, 500.3803548, 478.0712593, 427.2782536, 357.3092427, 288.5888431, 244.5650305, 240.7304505, 277.1670997, 339.5480693, 407.1137168, 461.5075088, 492.5987758, 1938.0000000, 497.7254080, 475.3542270, 425.2038405, 356.2371384, 288.4579003, 245.1301975, 241.8553116, 278.8260440, 341.5343562, 408.8517347, 462.2734257, 491.9611387, 1939.0000000, 495.7910138, 472.7012200, 422.6161389, 354.3388635, 287.4707851, 244.9665506, 242.4321952, 280.2119838, 343.7123233, 411.3900028, 464.3657312, 492.8542567, 1940.0000000, 495.1857610, 470.8556280, 420.1964898, 352.0828235, 285.8364607, 244.0555570, 242.2425568, 280.9002827, 345.4836984, 414.0962899, 467.3219192, 495.1444789, 1941.0000000, 496.1462541, 470.3447696, 418.5981589, 350.0682527, 283.9853948, 242.6303461, 241.3187324, 280.6805293, 346.3524502, 416.2499688, 470.3869798, 498.2632185, 1942.0000000, 498.4338170, 471.2841834, 418.2042107, 348.7944084, 282.3951040, 241.0771327, 239.9295783, 279.6441941, 346.1248499, 417.3186821, 472.7891861, 501.4137442, 1943.0000000, 501.4351426, 473.3647466, 419.0183297, 348.4931376, 281.4085601, 239.7690123, 238.4470679, 278.1167672, 344.9589740, 417.1510143, 474.0351417, 503.8888103, 1944.0000000, 504.4338149, 476.0385674, 420.7516024, 349.1247253, 281.1624163, 238.9495979, 237.1939328, 276.4796673, 343.2083054, 415.9085787, 473.9638731, 505.2166136, 1945.0000000, 506.7957180, 478.6977704, 422.9653314, 350.4711804, 281.6308081, 238.7329681, 236.4030562, 275.0900021, 341.3149661, 413.9812381, 472.7305901, 505.2227706, 1946.0000000, 508.0712721, 480.7760250, 425.1480029, 352.1823059, 282.6429286, 239.0970965, 236.1836846, 274.2073170, 339.6960655, 411.8632576, 470.7336057, 504.0429306, 1947.0000000, 508.0835800, 481.8689308, 426.8258217, 353.8564001, 283.9339085, 239.9117481, 236.5297042, 273.9743379, 338.6821555, 410.0502516, 468.5037572, 502.0574439, 1948.0000000, 506.9304574, 481.7855788, 427.6283840, 355.0926656, 285.1764806, 240.9541618, 237.3229801, 274.4063083, 338.4835290, 408.9802530, 466.6355926, 499.8466262, 1949.0000000, 504.9946595, 480.6101993, 427.3687043, 355.5561040, 286.0161987, 241.9165181, 238.3184153, 275.3512222, 339.1212575, 408.9323743, 465.6723388, 498.1026833, 1950.0000000, 502.9252382, 478.7719580, 426.1769041, 355.1229183, 286.1875630, 242.4813975, 239.1809593, 276.4844727, 340.3647599, 409.8979716, 465.9152757, 497.4087428, 1951.0000000, 501.4434125, 476.9332457, 424.4938474, 353.9557571, 285.6240291, 242.4319116, 239.5827042, 277.3821551, 341.7596017, 411.5386608, 467.3040422, 498.0579792, 1952.0000000, 501.1395546, 475.8190729, 422.9802439, 352.5066548, 284.5320731, 241.7646941, 239.3367562, 277.6609726, 342.7386791, 413.2183914, 469.3325590, 499.8512799, 1953.0000000, 502.1852935, 475.9032041, 422.2482289, 351.3472200, 283.3319628, 240.7246148, 238.5137901, 277.1778344, 342.8880569, 414.2772981, 471.2519932, 502.1710253, 1954.0000000, 504.2610339, 477.2131962, 422.6005489, 350.9112485, 282.4550740, 239.6745482, 237.3889831, 276.0740266, 342.1136573, 414.3073079, 472.3899832, 504.2608343, 1955.0000000, 506.7377847, 479.3911654, 423.9800312, 351.3695048, 282.1888303, 238.9406597, 236.3001562, 274.6667427, 340.6122172, 413.2421837, 472.3474186, 505.4719981, 1956.0000000, 508.9080151, 481.8629263, 426.0591681, 352.6450887, 282.6373390, 238.7378904, 235.5469835, 273.3318331, 338.7713697, 411.3330718, 471.0856842, 505.4357482, 1957.0000000, 510.1811042, 484.0042630, 428.3485880, 354.4614324, 283.7208757, 239.1317590, 235.3147924, 272.3819942, 337.0129848, 409.0047964, 468.8598663, 504.1068201, 1958.0000000, 510.2127557, 485.3019833, 430.3436715, 356.4510600, 285.2443986, 240.0742785, 235.6830274, 272.0409181, 335.7206729, 406.7467112, 466.1141607, 501.7057983, 1959.0000000, 508.9086098, 485.3949892, 431.5698017, 358.1863125, 286.9122754, 241.4072365, 236.6182346, 272.4217334, 335.1979234, 405.0500469, 463.4227087, 498.7087480, 1960.0000000, 506.4815394, 484.1785624, 431.6873450, 359.2517000, 288.3620055, 242.8686442, 237.9623051, 273.4952365, 335.6065782, 404.3129086, 461.3777554, 495.7548463, 1961.0000000, 503.4254580, 481.8584777, 430.5965592, 359.3483306, 289.2370204, 244.1298222, 239.4398546, 275.0701900, 336.9173937, 404.7569909, 460.4769797, 493.5291547, 1962.0000000, 500.4340033, 478.9419266, 428.5005488, 358.3922959, 289.2774169, 244.8580702, 240.6898983, 276.7894647, 338.8624421, 406.3345541, 460.9912494, 492.6148439, 1963.0000000, 498.2764359, 476.1833384, 425.9448410, 356.6266291, 288.4561763, 244.8403726, 241.3627598, 278.1866394, 340.9252141, 408.6276310, 462.7693133, 493.2207622, 1964.0000000, 497.4936704, 474.3123183, 423.6433134, 354.5763848, 287.0430956, 244.1152459, 241.2938552, 278.8849519, 342.5325140, 410.9808672, 465.2682256, 495.0932462, 1965.0000000, 498.1978776, 473.7605532, 422.1979539, 352.8302793, 285.4859861, 242.9515086, 240.5685468, 278.7458433, 343.2682098, 412.7311129, 467.7337733, 497.5994282, 1966.0000000, 500.0422690, 474.5263995, 421.8947815, 351.8240762, 284.2313689, 241.7307528, 239.4769793, 277.9168153, 343.0350713, 413.4644305, 469.4912523, 499.9800668, 1967.0000000, 502.3850009, 476.2274286, 422.6503970, 351.7125567, 283.5646530, 240.7872744, 238.3700290, 276.7285813, 342.0409933, 413.1285405, 470.1678004, 501.6225571, 1968.0000000, 504.5481244, 478.2982425, 424.1242046, 352.3950899, 283.5672319, 240.3181638, 237.5315182, 275.5378058, 340.6475750, 411.9483972, 469.7163521, 502.1822680, 1969.0000000, 505.9922280, 480.1711862, 425.8699323, 353.6195499, 284.1708582, 240.3943430, 237.1497612, 274.6557486, 339.2641435, 410.3207358, 468.3571763, 501.5914209, 1970.0000000, 506.3732516, 481.3474762, 427.3951657, 355.0200370, 285.1735242, 240.9579413, 237.2944757, 274.2973206, 338.2648847, 408.7217973, 466.5235176, 500.0781103, 1971.0000000, 505.6336700, 481.5242278, 428.2817412, 356.2048573, 286.2920319, 241.8472845, 237.9193826, 274.5548938, 337.9227525, 407.5999438, 464.7378665, 498.0733110, 1972.0000000, 503.9708322, 480.6204098, 428.2392194, 356.8069580, 287.1952843, 242.8134057, 238.8656952, 275.3888867, 338.3817185, 407.3281805, 463.5588059, 496.1788036, 1973.0000000, 501.8533688, 478.8449349, 427.1987873, 356.5681499, 287.5579708, 243.5417851, 239.8551090, 276.5893461, 339.5816460, 408.0920748, 463.4473374, 495.0487837, 1974.0000000, 499.9605570, 476.7207915, 425.4125298, 355.4706476, 287.1798074, 243.7382974, 240.5395591, 277.7817337, 341.2034049, 409.7648604, 464.5810175, 495.1712265, 1975.0000000, 498.9794746, 474.9520337, 423.4228250, 353.7990613, 286.0993324, 243.2579841, 240.6274019, 278.5362843, 342.7336650, 411.8945124, 466.7476905, 496.6818477, 1976.0000000, 499.3757655, 474.2031747, 421.9042213, 352.0751963, 284.6153271, 242.1872109, 240.0078905, 278.5208724, 343.6109760, 413.7882428, 469.3246168, 499.2274486, 1977.0000000, 501.1636295, 474.8234355, 421.4036464, 350.8689848, 283.1933500, 240.8427369, 238.8391313, 277.6856651, 343.4978448, 414.8147815, 471.5257033, 502.0928987, 1978.0000000, 503.8891091, 476.7011729, 422.1111636, 350.5472236, 282.2449181, 239.6056311, 237.4460739, 276.2508462, 342.3953057, 414.6478191, 472.7162749, 504.5029744, 1979.0000000, 506.8570900, 479.3859526, 423.8758443, 351.2066644, 282.0130647, 238.7871749, 236.1801635, 274.5798001, 340.5790986, 413.3157241, 472.5757776, 505.8467709, 1980.0000000, 509.3509260, 482.2591350, 426.3079798, 352.7088328, 282.5529984, 238.5696571, 235.3256190, 273.0558325, 338.4753372, 411.1356102, 471.1384465, 505.8093388, 1981.0000000, 510.8009304, 484.6849959, 428.8861493, 354.7382960, 283.7493500, 238.9902463, 235.0482355, 271.9860489, 336.5244292, 408.5812642, 468.7293586, 504.4132257, 1982.0000000, 510.9076940, 486.1640216, 431.0932731, 356.9008176, 285.3763035, 239.9712703, 235.3999779, 271.5717035, 335.1014540, 406.1588638, 465.8364475, 501.9379031, 1983.0000000, 509.6291915, 486.3662408, 432.4614854, 358.7575880, 287.1180443, 241.3309582, 236.3219205, 271.9004598, 334.4920983, 404.3619532, 463.0670972, 498.9175868, 1984.0000000, 507.2455575, 485.2428491, 432.6833235, 359.9007161, 288.6020607, 242.7865006, 237.6268665, 272.9055664, 334.8168028, 403.5567677, 461.0070185, 496.0200096, 1985.0000000, 504.3066152, 483.0651386, 431.7144536, 360.0650344, 289.4833545, 244.0034065, 239.0184502, 274.3582388, 335.9934558, 403.9090738, 460.1141851, 493.9248214, 1986.0000000, 501.5407741, 480.4053890, 429.8330656, 359.2316367, 289.5461916, 244.6713430, 240.1365989, 275.8761765, 337.6964830, 405.2847114, 460.5653894, 493.1397828, 1987.0000000, 499.6817839, 478.0286044, 427.6316188, 357.7073324, 288.8259459, 244.6288250, 240.6690379, 277.0081922, 339.3886835, 407.1985579, 462.1040783, 493.7580967, 1988.0000000, 499.1756487, 476.6118474, 425.8193769, 356.0507857, 287.6474444, 243.9780630, 240.5186004, 277.4423439, 340.5375099, 408.9845747, 464.1125174, 495.4019031, 1989.0000000, 499.9937316, 476.4632395, 424.9152026, 354.8147435, 286.4626311, 243.0219232, 239.8308829, 277.1257893, 340.8245538, 410.0546118, 465.8535912, 497.3872470, 1990.0000000, 501.6882382, 477.4627123, 425.1001426, 354.3617769, 285.6802977, 242.1358769, 238.9211508, 276.2692574, 340.2553372, 410.1135061, 466.7424633, 498.9799963, 1991.0000000, 503.5736627, 479.1392854, 426.1904772, 354.7600239, 285.5236101, 241.6162946, 238.1262522, 275.2224103, 339.1042066, 409.2214298, 466.5313899, 499.6575590, 1992.0000000, 504.9996487, 480.8974674, 427.7835083, 355.8418142, 286.0175149, 241.6175315, 237.7004084, 274.3322261, 337.7609213, 407.6830004, 465.2908346, 499.1892736, 1993.0000000, 505.4951540, 482.1776648, 429.3953308, 357.2988362, 287.0390749, 242.1637434, 237.7915405, 273.8783523, 336.6259758, 405.9314943, 463.3306108, 497.6248145, 1994.0000000, 504.8168957, 482.5315077, 430.5308130, 358.7310081, 288.3443299, 243.1579355, 238.4334621, 274.0428230, 336.0526687, 404.4537847, 461.1446443, 495.2978789, 1995.0000000, 503.0214922, 481.7354395, 430.7954376, 359.7253407, 289.6083946, 244.3930361, 239.5345518, 274.8719888, 336.2724819, 403.6784014, 459.2801810, 492.7183988, 1996.0000000, 500.4216116, 479.8181025, 429.9650493, 359.9287955, 290.4784941, 245.5824132, 240.8911848, 276.2764628, 337.3786107, 403.9382310, 458.2885998, 490.5349953, 1997.0000000, 497.5862128, 477.1121017, 428.0730676, 359.1347232, 290.6321310, 246.3833291, 242.1782199, 277.9843227, 339.2376324, 405.3445046, 458.5747792, 489.3906316, 1998.0000000, 495.2458342, 474.2456661, 425.4928913, 357.4200334, 289.9172512, 246.5084298, 243.0231679, 279.5702575, 341.4561583, 407.6802133, 460.2262629, 489.7075076, 1999.0000000, 494.0729251, 471.9708190, 422.8621394, 355.1742171, 288.4537861, 245.8592231, 243.1471323, 280.5830627, 343.4635657, 410.4031870, 462.9162339, 491.5017053, 2000.0000000, 494.4374796, 470.9096346, 420.8749805, 352.9830955, 286.6179727, 244.5905971, 242.4911883, 280.7214669, 344.7019082, 412.7912298, 465.9567560, 494.3235246, 2001.0000000, 496.2441046, 471.3177911, 420.0273338, 351.4147887, 284.9085969, 243.0687123, 241.2677344, 279.9880178, 344.8758361, 414.2346380, 468.5539192, 497.4128463, 2002.0000000, 498.9597217, 472.9880842, 420.4246457, 350.7836708, 283.7206161, 241.6853324, 239.8317928, 278.6480705, 344.0413710, 414.4654680, 470.1244529, 500.0254372, 2003.0000000, 501.8854837, 475.4314856, 421.8591391, 351.1335694, 283.2617821, 240.7359162, 238.5351102, 277.0793738, 342.5015600, 413.5518004, 470.3996455, 501.6023946, 2004.0000000, 504.3388683, 478.0318796, 423.9150631, 352.2873040, 283.5519224, 240.3774396, 237.6465737, 275.6591477, 340.6864320, 411.8286693, 469.4498448, 501.8833406, 2005.0000000, 505.8085034, 480.1955331, 426.0848506, 353.9198116, 284.4555696, 240.6264157, 237.3145973, 274.6813332, 339.0276391, 409.7671530, 467.6100539, 500.9203752, 2006.0000000, 506.0407334, 481.4672655, 427.8759600, 355.6371020, 285.7315482, 241.3843485, 237.5695346, 274.3266181, 337.8830752, 407.8605260, 465.3663382, 499.0129573, 2007.0000000, 505.0396697, 481.5756342, 428.8681177, 357.0227811, 287.0635040, 242.4557474, 238.3328762, 274.6605891, 337.5159814, 406.5827906, 463.3125227, 496.6978795, 2008.0000000, 503.1134872, 480.5221891, 428.8068220, 357.7030222, 288.0870583, 243.5454775, 239.3906172, 275.5799017, 338.0066245, 406.2632110, 462.0080289, 494.6354342, 2009.0000000, 500.8350911, 478.6349334, 427.7228025, 357.4792021, 288.4965627, 244.3290262, 240.4314920, 276.8179581, 339.2162599, 407.0024579, 461.8500499, 493.4614389, 2010.0000000, 498.9202769, 476.5162753, 425.9622087, 356.4133680, 288.1427398, 244.5345677, 241.1032465, 277.9655509, 340.7550355, 408.5726419, 462.9088168, 493.5849387, 2011.0000000, 498.0322898, 474.9079769, 424.1494999, 354.8859670, 287.1481728, 244.0790784, 241.1520982, 278.5984347, 342.0650447, 410.4145511, 464.8123525, 494.9643156, 2012.0000000, 498.4875246, 474.3887089, 422.9479459, 353.4670632, 285.8920109, 243.1412177, 240.5654514, 278.4828410, 342.6606982, 411.8513031, 466.8676186, 497.0969442, 2013.0000000, 500.1086785, 475.1227707, 422.7662997, 352.6520841, 284.8226175, 242.0632096, 239.5628698, 277.6683970, 342.3340248, 412.3770442, 468.3612540, 499.2569947, 2014.0000000, 502.3544390, 476.8690967, 423.6651681, 352.7090464, 284.2934822, 241.2049594, 238.4826050, 276.4310539, 341.1927151, 411.8074706, 468.7887987, 500.7366120, 2015.0000000, 504.5111304, 479.0886049, 425.3744461, 353.6232840, 284.4636811, 240.8232957, 237.6496672, 275.1454309, 339.5819935, 410.3097248, 468.0125515, 501.0912667, 2016.0000000, 505.9575799, 481.1698601, 427.4459585, 355.1706087, 285.3047544, 241.0290238, 237.2876010, 274.1485102, 337.9163213, 408.2538593, 466.1926719, 500.1720217, 2017.0000000, 506.2710507, 482.5616350, 429.3734436, 357.0050634, 286.6535833, 241.8095590, 237.5129130, 273.6990897, 336.5995743, 406.1143889, 463.7152166, 498.1164176, 2018.0000000, 505.2786016, 482.8512518, 430.6636311, 358.7065621, 288.2374457, 243.0376328, 238.3290834, 273.9513931, 335.9696647, 404.3902446, 461.1210343, 495.3282104, 2019.0000000, 503.1058798, 481.8600685, 430.9337922, 359.8480181, 289.7047070, 244.4754799, 239.6120150, 274.9189191, 336.2324166, 403.5067699, 458.9901430, 492.3866921, 2020.0000000, 500.1521555, 479.6940880, 430.0073255, 360.0901911, 290.6921767, 245.8124912, 241.1249741, 276.4706841, 337.4361676, 403.7620330, 457.8666174, 489.9713702, 2021.0000000, 497.0515904, 476.7646994, 427.9845286, 359.2653630, 290.8875255, 246.6946780, 242.5147917, 278.2898426, 339.3874667, 405.2032214, 458.1084366, 488.7148969, 2022.0000000, 494.5701177, 473.7723006, 425.3251549, 357.5256702, 290.1887265, 246.8587141, 243.4096379, 279.9259227, 341.6366988, 407.5292128, 459.7062471, 488.9565138, 2023.0000000, 493.3331528, 471.4693588, 422.7079146, 355.3228144, 288.7781687, 246.2578669, 243.5689050, 280.9468858, 343.6010812, 410.1423480, 462.2385529, 490.5964083, 2024.0000000, 493.6021712, 470.4021303, 420.7976800, 353.2555427, 287.0721959, 245.1010808, 242.9963544, 281.1190114, 344.7813118, 412.3468365, 464.9909266, 493.1053277, 2025.0000000, 495.1679318, 470.7075273, 419.9941214, 351.8333018, 285.5484919, 243.7633488, 241.9390761, 280.5071075, 344.9674255, 413.6218331, 467.2296868, 495.7309382, 2026.0000000, 497.4508710, 472.0954383, 420.3100394, 351.2919950, 284.5491955, 242.6094277, 240.7501909, 279.4060610, 344.2863602, 413.8049735, 468.4846875, 497.8127421, 2027.0000000, 499.7828134, 474.0534962, 421.4786236, 351.6055037, 284.2191867, 241.8850354, 239.7450467, 278.1766107, 343.0579963, 413.0289321, 468.5909599, 498.9030082, 2028.0000000, 501.5636792, 475.9995822, 423.0732302, 352.5593801, 284.5333206, 241.7038942, 239.1526101, 277.1624783, 341.6989212, 411.6550186, 467.6947769, 498.8503394, 2029.0000000, 502.3881169, 477.4104196, 424.6091997, 353.8139334, 285.3224002, 242.0423025, 239.0779322, 276.6120352, 340.6013038, 410.1405181, 466.1629267, 497.7864418, 2030.0000000, 502.1059730, 477.9216079, 425.6456255, 354.9846636, 286.3267994, 242.7699930, 239.5124098, 276.6613435, 340.0782638, 408.9494468, 464.4898521, 496.0706631, 2031.0000000, 500.8229575, 477.3718649, 425.8439138, 355.6909599, 287.2268177, 243.6644841, 240.3356672, 277.3215149, 340.3308131, 408.4982642, 463.2382786, 494.2569922, 2032.0000000, 498.9189792, 475.8693915, 425.0527545, 355.6260342, 287.6809004, 244.4188541, 241.2967265, 278.4311188, 341.3664616, 409.0434245, 462.9147223, 492.9945022, 2033.0000000, 497.0135383, 473.8420359, 423.4255286, 354.6962735, 287.4458833, 244.7266698, 242.0633188, 279.6646498, 342.9531901, 410.5719313, 463.8059977, 492.8390406, 2034.0000000, 495.7974155, 471.9347883, 421.4056594, 353.0795428, 286.4701030, 244.3776939, 242.3045552, 280.5879297, 344.6245996, 412.7369305, 465.8435909, 494.0697282, 2035.0000000, 495.8413676, 470.8573212, 419.6537149, 351.2431864, 284.9806657, 243.3842853, 241.8393489, 280.8114489, 345.7989930, 414.8895245, 468.5163372, 496.4842719, 2036.0000000, 497.3077407, 471.0695198, 418.7730726, 349.7621564, 283.4109994, 242.0067804, 240.7485608, 280.1900419, 346.0456507, 416.3468843, 471.0604864, 499.4631151, 2037.0000000, 499.8805651, 472.6009990, 419.0674982, 349.0750618, 282.2032846, 240.6229562, 239.3217002, 278.8700530, 345.2568481, 416.6696655, 472.7718491, 502.2324231, 2038.0000000, 502.9300209, 475.1013950, 420.4894514, 349.3635851, 281.6592056, 239.5774777, 237.9178938, 277.1874648, 343.6318670, 415.7677240, 473.2082113, 504.1019559, 2039.0000000, 505.7216422, 477.9846313, 422.7073812, 350.5510753, 281.8878027, 239.0960877, 236.8548269, 275.5418686, 341.5785313, 413.8932018, 472.3075868, 504.6701733, 2040.0000000, 507.6415496, 480.6185609, 425.2345934, 352.3670470, 282.8160065, 239.2525610, 236.3305020, 274.2645774, 339.5373514, 411.4753324, 470.3025533, 503.8476542, 2041.0000000, 508.3009501, 482.4609157, 427.5549750, 354.4437785, 284.2533790, 240.0063587, 236.4363723, 273.5990604, 337.9200855, 409.0278977, 467.6413920, 501.8341545, 2042.0000000, 507.5703189, 483.1196983, 429.1766552, 356.3481556, 285.9045793, 241.2019615, 237.1443317, 273.6692545, 337.0475235, 407.0616850, 464.9073462, 499.0926169, 2043.0000000, 505.6318235, 482.4580002, 429.7404443, 357.6595250, 287.4102496, 242.5831345, 238.3030241, 274.4551000, 337.0954747, 405.9915460, 462.7034993, 496.2543229, 2044.0000000, 502.9497625, 480.6427381, 429.1159792, 358.0653755, 288.4142257, 243.8289527, 239.6486012, 275.7805251, 338.0543359, 406.0635331, 461.5485561, 494.0104423, 2045.0000000, 500.2008211, 478.1453630, 427.4670773, 357.4531513, 288.6428312, 244.6040973, 240.8242071, 277.2977676, 339.6707707, 407.2489586, 461.7337861, 492.9574368, 2046.0000000, 498.1520723, 475.6997927, 425.3084756, 356.0384524, 288.0534934, 244.6920689, 241.4861866, 278.5541956, 341.4494829, 409.1558395, 463.1350957, 493.3270973, 2047.0000000, 497.3532247, 474.0243242, 423.3251079, 354.3111799, 286.8863046, 244.1119965, 241.4606397, 279.1742243, 342.8288545, 411.1505384, 465.2390348, 494.8981400, 2048.0000000, 497.9457038, 473.5686671, 422.1214703, 352.8495911, 285.5728620, 243.1168559, 240.8204893, 279.0119544, 343.3927445, 412.5769046, 467.3031421, 497.0523531, 2049.0000000, 499.5981674, 474.3445976, 421.9914392, 352.0899815, 284.5544129, 242.0805412, 239.8485069, 278.2104338, 343.0445629, 413.0268109, 468.6606217, 499.0368183, 2050.0000000, 501.6727013, 475.9721601, 422.8530568, 352.1867172, 284.1137679, 241.3334652, 238.8916059, 277.0983622, 341.9955184, 412.4583982, 468.9526793, 500.2505633, 2051.0000000, 503.4970409, 477.8867751, 424.3646436, 353.0380285, 284.3314306, 241.0715266, 238.2321967, 276.0314429, 340.6090046, 411.1030603, 468.1414515, 500.3544505, 2052.0000000, 504.5282194, 479.5089776, 426.0651681, 354.3798701, 285.1322199, 241.3631470, 238.0592911, 275.3254510, 339.3050274, 409.3775670, 466.4755954, 499.3096542, 2053.0000000, 504.4415905, 480.3434197, 427.4522720, 355.8310425, 286.3003675, 242.1401707, 238.4351562, 275.1900007, 338.4556964, 407.7621355, 464.4012536, 497.3649916, 2054.0000000, 503.1995808, 480.0972531, 428.1049998, 356.9893050, 287.5414825, 243.2328770, 239.3093873, 275.7173729, 338.3379177, 406.7141165, 462.4570567, 494.9740138, 2055.0000000, 501.0227243, 478.7035042, 427.7321733, 357.4752066, 288.5083531, 244.3783813, 240.5135360, 276.8636587, 339.0972482, 406.6131749, 461.2137080, 492.7578803, 2056.0000000, 498.4042863, 476.3931026, 426.2748891, 357.0253782, 288.8605328, 245.2444576, 241.7540753, 278.4094878, 340.6725646, 407.6516030, 461.1431781, 491.3846442, 2057.0000000, 496.0413501, 473.7091537, 424.0004217, 355.6250034, 288.3885236, 245.5211824, 242.6660564, 279.9687054, 342.7452547, 409.7166157, 462.4444175, 491.3633456, 2058.0000000, 494.6399263, 471.3720185, 421.4617508, 353.5582729, 287.1177224, 245.0403051, 242.9281348, 281.0819180, 344.7849318, 412.3631534, 464.9338144, 492.8689493, 2059.0000000, 494.7057504, 470.0839596, 419.3656471, 351.3687701, 285.3535514, 243.8780904, 242.4031559, 281.3770926, 346.1896317, 414.8773348, 467.9966434, 495.5765149, 2060.0000000, 496.2872111, 470.2258302, 418.2867317, 349.6492606, 283.5761333, 242.3534240, 241.2342126, 280.7684785, 346.5716775, 416.5858577, 470.8364214, 498.7943220, 2061.0000000, 498.9722879, 471.7301672, 418.4538076, 348.7983983, 282.2209516, 240.8617245, 239.7469135, 279.4541233, 345.8819293, 417.0994125, 472.7723523, 501.7380059, 2062.0000000, 502.0868801, 474.1805534, 419.7501974, 348.9427668, 281.5564977, 239.7355244, 238.3069220, 277.7962991, 344.3664922, 416.3877772, 473.4229651, 503.7614297, 2063.0000000, 504.9140376, 476.9794444, 421.8120762, 349.9664441, 281.6571396, 239.1751844, 237.2164302, 276.1906037, 342.4444240, 414.7317639, 472.7673540, 504.5069391, 2064.0000000, 506.8734449, 479.5088028, 424.1459731, 351.5782457, 282.4248940, 239.2314864, 236.6543296, 274.9552932, 340.5546041, 412.5752369, 471.0712559, 503.9324443, 2065.0000000, 507.6268354, 481.2663471, 426.2556558, 353.4103588, 283.6565258, 239.8455361, 236.6912804, 274.3125800, 339.0899030, 410.4223712, 468.7883130, 502.2607741, 2066.0000000, 507.0814087, 481.8987047, 427.6764129, 355.0387774, 285.0505432, 240.8465126, 237.2788148, 274.3630309, 338.3505003, 408.7723540, 466.5059649, 499.9787558, 2067.0000000, 505.4626063, 481.3222909, 428.0965797, 356.0717209, 286.2552082, 241.9692701, 238.2441967, 275.0555757, 338.4756211, 408.0072222, 464.8084002, 497.7216650, 2068.0000000, 503.2646000, 479.7547268, 427.4424611, 356.2415747, 286.9372731, 242.8937468, 239.3048363, 276.1757773, 339.4016767, 408.3154539, 464.1700665, 496.1633682, 2069.0000000, 501.1814425, 477.7192457, 425.9523046, 355.5114242, 286.8808144, 243.3166599, 240.1086817, 277.3489119, 340.8131521, 409.5800658, 464.7889437, 495.8247301, 2070.0000000, 499.9391149, 475.9527341, 424.1859129, 354.1677124, 286.1174870, 243.0835359, 240.3535227, 278.1318477, 342.1765458, 411.3194942, 466.4176914, 496.8101988, 2071.0000000, 499.9841061, 475.1140784, 422.8211293, 352.7395352, 284.9556961, 242.2939089, 239.9481343, 278.2206692, 342.9647792, 412.8705545, 468.4459939, 498.7579398, 2072.0000000, 501.3066327, 475.5213034, 422.3723523, 351.7667235, 283.8360561, 241.2463008, 239.0405837, 277.5678333, 342.8594897, 413.6344342, 470.1196949, 500.9712030, 2073.0000000, 503.4556541, 477.0556312, 423.0187301, 351.6050269, 283.1600611, 240.3134354, 237.9509004, 276.3971097, 341.8817444, 413.3223092, 470.8462688, 502.7027637, 2074.0000000, 505.7378446, 479.2458334, 424.5784150, 352.3210907, 283.1458028, 239.7867511, 237.0153178, 275.0651208, 340.3192956, 412.0050210, 470.3750082, 503.4145505, 2075.0000000, 507.4865001, 481.4886594, 426.6492944, 353.7503089, 283.8194576, 239.8200825, 236.4885869, 273.9242488, 338.5739357, 409.9999500, 468.7779223, 502.8601031, 2076.0000000, 508.2056296, 483.2042243, 428.7392538, 355.5853431, 285.0622679, 240.4419383, 236.5239980, 273.2636882, 337.0640470, 407.7647215, 466.3831445, 501.0882069, 2077.0000000, 507.6313815, 483.9172160, 430.3328776, 357.4165394, 286.6276471, 241.5550595, 237.1555429, 273.2675649, 336.1506764, 405.8014660, 463.7016098, 498.4380248, 2078.0000000, 505.8081971, 483.3807562, 431.0156096, 358.8226005, 288.1927533, 242.9595881, 238.3009561, 273.9936287, 336.0804304, 404.5594323, 461.3028457, 495.4322150, 2079.0000000, 503.0391636, 481.5930206, 430.5261380, 359.4223984, 289.3914573, 244.3667514, 239.7611834, 275.3618834, 336.9615492, 404.3944275, 459.7677731, 492.7471724, 2080.0000000, 499.9063921, 478.8766453, 428.8709400, 358.9811947, 289.8831062, 245.4270250, 241.2130066, 277.1092715, 338.6752425, 405.4373266, 459.5267037, 491.0520245, 2081.0000000, 497.1576177, 475.8576494, 426.4013965, 357.5449772, 289.4893252, 245.8378383, 242.2800466, 278.8175706, 340.8452117, 407.4960844, 460.6960119, 490.8002426, 2082.0000000, 495.4916352, 473.2997283, 423.7453272, 355.4765400, 288.2988360, 245.4748322, 242.6677247, 280.0333275, 342.9142757, 410.0546236, 462.9842905, 492.0469225, 2083.0000000, 495.3162332, 471.8534119, 421.6080189, 353.3531041, 286.6658194, 244.4666623, 242.2926376, 280.4377968, 344.3203755, 412.4026389, 465.7260532, 494.3691180, 2084.0000000, 496.5623062, 471.7961540, 420.4974953, 351.7417570, 285.0761684, 243.1589218, 241.3435223, 280.0127576, 344.7602016, 413.9444701, 468.1607793, 497.0487673, 2085.0000000, 498.7371807, 472.9535378, 420.5406261, 350.9648483, 283.9196255, 241.9274545, 240.1498259, 278.9907141, 344.2597738, 414.3981880, 469.7149588, 499.3692697, 2086.0000000, 501.1764721, 474.8686505, 421.5543702, 351.0815200, 283.4097662, 241.0643663, 239.0508066, 277.7275669, 343.0947490, 413.8122636, 470.1202155, 500.7932584, 2087.0000000, 503.2300226, 476.9560860, 423.1448598, 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