# 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 : -49 # 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, 502.7140023, 432.7394845, 331.4219873, 226.6265480, 141.5717555, 93.3039565, 90.6336147, 137.7407924, 231.1161184, 348.5457131, 453.6903861, 511.0422467, -2998.0000000, 501.0053170, 432.2056508, 331.7916253, 227.3493614, 142.2241010, 93.7763182, 91.0251526, 138.0864659, 231.1457322, 347.7626862, 451.8560662, 508.5568393, -2997.0000000, 498.7042976, 430.7475427, 331.2903769, 227.4901191, 142.5979115, 94.1639103, 91.4545503, 138.6592585, 231.7479268, 347.9307784, 451.0906189, 506.8197092, -2996.0000000, 496.5405734, 428.8781476, 330.1366169, 227.0447638, 142.5932605, 94.3492899, 91.7834341, 139.2633424, 232.6935973, 348.9282828, 451.5569877, 506.3334936, -2995.0000000, 495.2152519, 427.2575865, 328.7755162, 226.2114781, 142.2381437, 94.2799097, 91.9009042, 139.6819923, 233.6278460, 350.3549610, 453.0176244, 507.1941018, -2994.0000000, 495.1490337, 426.4547735, 327.7167926, 225.3210421, 141.6842642, 93.9940781, 91.7704959, 139.7608666, 234.1942276, 351.6592979, 454.8998159, 509.0485085, -2993.0000000, 496.3374383, 426.7514834, 327.3530268, 224.7140093, 141.1490002, 93.6067589, 91.4462354, 139.4706962, 234.1711295, 352.3358487, 456.4869751, 511.2037128, -2992.0000000, 498.3428326, 428.0382946, 327.8134776, 224.6074213, 140.8246361, 93.2577841, 91.0450482, 138.9140321, 233.5605995, 352.1358771, 457.2231682, 512.9368920, -2991.0000000, 500.5233097, 429.9260405, 328.9750118, 225.0491768, 140.8188868, 93.0576455, 90.6903749, 138.2560240, 232.5290133, 351.0761766, 456.8259376, 513.6828022, -2990.0000000, 502.2268075, 431.8934895, 330.5464945, 225.9493007, 141.1542495, 93.0723423, 90.4852684, 137.6771313, 231.3447327, 349.4043982, 455.3291812, 513.1535665, -2989.0000000, 502.9354557, 433.4040152, 332.1382303, 227.1085909, 141.7718061, 93.3149833, 90.4926691, 137.3293101, 230.2990721, 347.5087340, 453.0419762, 511.3881196, -2988.0000000, 502.3826247, 434.0301514, 333.3512491, 228.2653336, 142.5486453, 93.7485993, 90.7288225, 137.3113796, 229.6453592, 345.8166401, 450.4453502, 508.7064321, -2987.0000000, 500.5860921, 433.5316013, 333.8526423, 229.1436935, 143.3209149, 94.2952457, 91.1657754, 137.6629525, 229.5726552, 344.7391510, 448.1212322, 505.6637035, -2986.0000000, 497.8580801, 431.9085322, 333.4330291, 229.4888159, 143.8954774, 94.8345202, 91.7215014, 138.3401783, 230.1551296, 344.5864413, 446.6495427, 502.9750842, -2985.0000000, 494.8070867, 429.4847597, 332.1252241, 229.1666703, 144.1081028, 95.2299353, 92.2691836, 139.2062978, 231.3048713, 345.4607831, 446.4366368, 501.3121082, -2984.0000000, 492.1675633, 426.8263285, 330.2138604, 228.2201040, 143.8790028, 95.3676034, 92.6653948, 140.0511234, 232.7655564, 347.1989755, 447.5938517, 501.1325692, -2983.0000000, 490.6275468, 424.6214057, 328.1954184, 226.8934645, 143.2621325, 95.2039390, 92.7977395, 140.6445699, 234.1522840, 349.3531775, 449.8216464, 502.4676422, -2982.0000000, 490.5627050, 423.4321471, 326.6077575, 225.5582644, 142.4415460, 94.7962043, 92.6397317, 140.8327764, 235.0923436, 351.3342069, 452.4882934, 504.8880353, -2981.0000000, 491.8896945, 423.4809775, 325.8171978, 224.5570658, 141.6487630, 94.2740448, 92.2593897, 140.6010118, 235.3769817, 352.6471399, 454.8867476, 507.7040257, -2980.0000000, 494.1601110, 424.6366479, 325.9325973, 224.0967532, 141.0751646, 93.7802042, 91.7769672, 140.0518646, 234.9973355, 353.0193609, 456.4360835, 510.1779792, -2979.0000000, 496.7253478, 426.5046605, 326.8261802, 224.2245296, 140.8323542, 93.4316497, 91.3247703, 139.3626351, 234.1306624, 352.4695059, 456.8486424, 511.7420229, -2978.0000000, 498.9346666, 428.5619839, 328.1986146, 224.8400383, 140.9353397, 93.2906855, 91.0044263, 138.7132522, 233.0419316, 351.2338133, 456.1439282, 512.1076979, -2977.0000000, 500.2914449, 430.3031709, 329.6846340, 225.7558285, 141.3285121, 93.3708162, 90.8788084, 138.2549154, 232.0163498, 349.6785372, 454.5900332, 511.2714614, -2976.0000000, 500.5087259, 431.3067857, 330.9030792, 226.7252392, 141.8970061, 93.6388431, 90.9670754, 138.0909747, 231.3134389, 348.2322934, 452.6542463, 509.5269167, -2975.0000000, 499.5820275, 431.3261341, 331.5261663, 227.4783975, 142.4786351, 94.0151421, 91.2374118, 138.2544702, 231.1132268, 347.2945552, 450.9024608, 507.4121014, -2974.0000000, 497.8187319, 430.3788922, 331.3776431, 227.7922085, 142.8998984, 94.3880320, 91.6101488, 138.6974796, 231.4758828, 347.1484877, 449.8714334, 505.5840454, -2973.0000000, 495.7687023, 428.7514572, 330.4830033, 227.5447571, 143.0116166, 94.6313918, 91.9645932, 139.2844934, 232.3066080, 347.8821670, 449.9505134, 504.6962420, -2972.0000000, 494.1497640, 427.0023491, 329.1347820, 226.7983579, 142.7542816, 94.6461872, 92.1671652, 139.8067597, 233.3290813, 349.2808124, 451.1740663, 505.1215928, -2971.0000000, 493.5747687, 425.7684785, 327.8096141, 225.8048946, 142.2028045, 94.4117514, 92.1300095, 140.0619067, 234.1762022, 350.8813426, 453.1857893, 506.8060664, -2970.0000000, 494.3269819, 425.5307081, 326.9888610, 224.9099318, 141.5397959, 93.9972235, 91.8488324, 139.9338490, 234.5226358, 352.1236775, 455.3403166, 509.2674514, -2969.0000000, 496.2525475, 426.4432629, 326.9850221, 224.4227462, 140.9834797, 93.5329798, 91.4041826, 139.4395254, 234.2121852, 352.5598920, 456.9335179, 511.7649515, -2968.0000000, 498.8229043, 428.2963443, 327.8466250, 224.5123687, 140.7071918, 93.1576646, 90.9246405, 138.7142626, 233.3103796, 352.0217257, 457.4692161, 513.5841509, -2967.0000000, 501.3534812, 430.6318085, 329.3829935, 225.1776263, 140.7913262, 92.9699891, 90.5319973, 137.9374061, 232.0289457, 350.6061854, 456.7543662, 514.2204183, -2966.0000000, 503.2062310, 432.9063892, 331.2667860, 226.2955606, 141.2360560, 93.0229246, 90.3216487, 137.2894992, 230.6575312, 348.6159447, 454.9010524, 513.4544139, -2965.0000000, 503.8955017, 434.5790627, 333.0843282, 227.6406220, 141.9625698, 93.3162313, 90.3458756, 136.9140097, 229.4915383, 346.4736062, 452.2874385, 511.4060967, -2964.0000000, 503.2150672, 435.2472449, 334.4339515, 228.9370319, 142.8339136, 93.8018673, 90.6102884, 136.8975157, 228.7763680, 344.6195434, 449.4418304, 508.4684326, -2963.0000000, 501.2522393, 434.7122687, 334.9936926, 229.9016643, 143.6738718, 94.3900355, 91.0737458, 137.2606413, 228.6777209, 343.4518525, 446.9652395, 505.2550988, -2962.0000000, 498.3980590, 433.0427016, 334.5945338, 230.2938552, 144.2887410, 94.9540775, 91.6435685, 137.9395564, 229.2367024, 343.2432714, 445.4190072, 502.5023435, -2961.0000000, 495.3189472, 430.6323464, 333.3255085, 230.0110779, 144.5254263, 95.3575457, 92.1854715, 138.7765629, 230.3205940, 344.0276103, 445.1385906, 500.8402901, -2960.0000000, 492.7560858, 428.0934070, 331.5306264, 229.1451890, 144.3340829, 95.5018470, 92.5631609, 139.5578998, 231.6440774, 345.5729729, 446.1338357, 500.6242133, -2959.0000000, 491.3297686, 426.0954607, 329.7253427, 227.9741107, 143.7989628, 95.3658706, 92.6835970, 140.0714822, 232.8249820, 347.3924671, 448.0109273, 501.7554781, -2958.0000000, 491.2923931, 425.1176551, 328.4125044, 226.8693293, 143.1200557, 95.0270498, 92.5460785, 140.2030252, 233.5406741, 348.9288249, 450.1157439, 503.7199027, -2957.0000000, 492.4424371, 425.2723814, 327.8828740, 226.1363026, 142.5191580, 94.6196902, 92.2344792, 139.9746554, 233.6496997, 349.7680867, 451.7918934, 505.8137496, -2956.0000000, 494.2586777, 426.3328939, 328.1623520, 225.9281210, 142.1612069, 94.2773037, 91.8713254, 139.5113303, 233.2057576, 349.7446483, 452.5741167, 507.3704388, -2955.0000000, 496.0948185, 427.8571048, 329.0614619, 226.2417517, 142.1264779, 94.0994962, 91.5789380, 138.9908638, 232.4167665, 348.9588819, 452.2953004, 507.9308908, -2954.0000000, 497.3516577, 429.3130477, 330.2401053, 226.9341014, 142.3995335, 94.1294088, 91.4444656, 138.5825264, 231.5565885, 347.7044699, 451.0912747, 507.3462134, -2953.0000000, 497.6375422, 430.2365814, 331.3240094, 227.7890500, 142.8982193, 94.3610352, 91.5130432, 138.4169240, 230.8949207, 346.3647375, 449.3068554, 505.7381828, -2952.0000000, 496.7874534, 430.2779753, 331.9472455, 228.5429884, 143.4844020, 94.7416257, 91.7845526, 138.5722261, 230.6632844, 345.3600994, 447.4550267, 503.5116580, -2951.0000000, 494.9379619, 429.3043894, 331.8382088, 228.9339995, 143.9822846, 95.1738168, 92.2063344, 139.0509282, 230.9997188, 345.0511981, 446.0986812, 501.2663115, -2950.0000000, 492.5136988, 427.4581537, 330.9058583, 228.7724310, 144.2179357, 95.5323142, 92.6771327, 139.7685556, 231.9075579, 345.6540064, 445.7272914, 499.6701960, -2949.0000000, 490.1474182, 425.1495261, 329.2885991, 228.0047313, 144.0671813, 95.6915227, 93.0625916, 140.5558827, 233.2278764, 347.1634592, 446.6306082, 499.3101996, -2948.0000000, 488.5568003, 423.0021293, 327.3723648, 226.7715576, 143.5143034, 95.5687921, 93.2285006, 141.1819898, 234.6264365, 349.2657614, 448.7169624, 500.4391909, -2947.0000000, 488.2807877, 421.6467686, 325.6822615, 225.3910837, 142.6870037, 95.1758322, 93.1064314, 141.4500236, 235.7112759, 351.4263683, 451.5123159, 502.8603929, -2946.0000000, 489.4725539, 421.4821221, 324.6763854, 224.2274699, 141.8002477, 94.6114414, 92.7197211, 141.2713993, 236.1718430, 353.0660419, 454.3064280, 505.9872515, -2945.0000000, 491.8587563, 422.5603249, 324.6054685, 223.5705921, 141.0797010, 94.0238945, 92.1739915, 140.7001351, 235.8962637, 353.7688553, 456.3955026, 509.0401576, -2944.0000000, 494.8400369, 424.5892693, 325.4487342, 223.5481210, 140.6838054, 93.5528243, 91.6092422, 139.8976403, 234.9929699, 353.4146175, 457.3181758, 511.3131880, -2943.0000000, 497.7104711, 427.0677064, 326.9675721, 224.1222157, 140.6733573, 93.2902696, 91.1495244, 139.0585445, 233.7095796, 352.1541511, 456.9388923, 512.3465438, -2942.0000000, 499.8521622, 429.4453960, 328.8099689, 225.1423565, 141.0283089, 93.2775045, 90.8840234, 138.3639246, 232.3498473, 350.3214718, 455.4129774, 511.9660054, -2941.0000000, 500.8149174, 431.1977577, 330.5589581, 226.3686488, 141.6550114, 93.5034260, 90.8570283, 137.9528706, 231.2153755, 348.3630881, 453.1599157, 510.3432703, -2940.0000000, 500.4433817, 431.9591380, 331.8283389, 227.5227437, 142.4062019, 93.9090906, 91.0628149, 137.8986217, 230.5402648, 346.7195280, 450.7261145, 507.9073891, -2939.0000000, 498.8724164, 431.5767425, 332.3266030, 228.3321936, 143.1029683, 94.3967453, 91.4488744, 138.2048622, 230.4701221, 345.7757082, 448.7169226, 505.2988803, -2938.0000000, 496.5407593, 430.1768417, 331.9348798, 228.5859933, 143.5610705, 94.8372574, 91.9121328, 138.7855964, 231.0093276, 345.7609802, 447.6586565, 503.2407977, -2937.0000000, 494.1307041, 428.1948060, 330.7937991, 228.2237631, 143.6505131, 95.1017305, 92.3150459, 139.4644656, 231.9823188, 346.6445724, 447.8180972, 502.3124194, -2936.0000000, 492.3658673, 426.2616956, 329.2918700, 227.3868033, 143.3584539, 95.1131516, 92.5323366, 140.0244689, 233.0697248, 348.1178728, 449.0960748, 502.7551395, -2935.0000000, 491.7763696, 424.9988694, 327.9400578, 226.3776245, 142.8015047, 94.8785205, 92.4963645, 140.2764630, 233.8928433, 349.6530551, 451.0072627, 504.3484286, -2934.0000000, 492.4946697, 424.7947353, 327.1928016, 225.5582591, 142.1934414, 94.4978560, 92.2366122, 140.1498206, 234.1765346, 350.7109649, 452.8572360, 506.4816133, -2933.0000000, 494.1958841, 425.6460653, 327.2563812, 225.1883237, 141.7418432, 94.1099510, 91.8557844, 139.7090944, 233.8503099, 350.9532465, 454.0280898, 508.4299401, -2932.0000000, 496.2905835, 427.2406827, 328.0805715, 225.3687782, 141.5850413, 93.8397521, 91.4811585, 139.1063141, 233.0329013, 350.3106143, 454.1428347, 509.5671128, -2931.0000000, 498.1164990, 429.0849684, 329.4161007, 226.0476815, 141.7721098, 93.7698548, 91.2268828, 138.5248061, 231.9701450, 348.9650871, 453.1374176, 509.5146903, -2930.0000000, 499.1056055, 430.6346521, 330.8901194, 227.0489815, 142.2637294, 93.9280686, 91.1691983, 138.1292345, 230.9535304, 347.2702634, 451.2454024, 508.2223421, -2929.0000000, 498.9263988, 431.4377081, 332.1096647, 228.1293807, 142.9551469, 94.2921239, 91.3389528, 138.0358683, 230.2486767, 345.6379339, 448.8846734, 505.9092049, -2928.0000000, 497.4953987, 431.1851193, 332.7127620, 229.0112692, 143.6920212, 94.7960680, 91.7232995, 138.3077101, 230.0752654, 344.4993389, 446.6210595, 503.0699402, -2927.0000000, 495.0424944, 429.8066911, 332.4501747, 229.4278322, 144.2844834, 95.3284412, 92.2541429, 138.9254425, 230.5441286, 344.1979417, 445.0346451, 500.3669829, -2926.0000000, 492.0823547, 427.5267321, 331.2802106, 229.2054548, 144.5556754, 95.7545079, 92.8164273, 139.7815765, 231.6239940, 344.9134637, 444.6000169, 498.4960166, -2925.0000000, 489.3167181, 424.8395672, 329.4095489, 228.3283042, 144.3935224, 95.9472226, 93.2659217, 140.6835018, 233.1107328, 346.5753077, 445.5399360, 498.0045438, -2924.0000000, 487.4701446, 422.4147118, 327.2831964, 226.9847717, 143.8095022, 95.8356177, 93.4712011, 141.3921173, 234.6407991, 348.8110268, 447.6809945, 499.0645538, -2923.0000000, 487.0298534, 420.8730747, 325.4488311, 225.5269927, 142.9597549, 95.4504658, 93.3780517, 141.7213320, 235.8201353, 351.0544197, 450.4784828, 501.3801038, -2922.0000000, 488.0497665, 420.5417905, 324.3310610, 224.3155687, 142.0697420, 94.9045338, 93.0271159, 141.6085033, 236.3726401, 352.7555539, 453.2245143, 504.3276334, -2921.0000000, 490.1896794, 421.4011578, 324.1258701, 223.6105896, 141.3550495, 94.3465937, 92.5314507, 141.1268031, 236.2248097, 353.5537627, 455.2679509, 507.1513538, -2920.0000000, 492.8338392, 423.1145596, 324.7625877, 223.5015020, 140.9522082, 93.9059194, 92.0269953, 140.4416964, 235.5082400, 353.3823127, 456.2257332, 509.2219529, -2919.0000000, 495.3230630, 425.1896922, 325.9862554, 223.9271940, 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324.0959818, 427.1172172, 496.0454744, 1855.0000000, 503.4008368, 444.9461083, 344.1026483, 234.2861261, 145.6887261, 97.2649717, 94.6038887, 137.1601187, 219.5759587, 325.3795565, 427.9475768, 495.8020879, 1856.0000000, 502.0073612, 442.9763717, 342.3220052, 233.1422612, 145.1697455, 97.1332963, 94.7320476, 137.6829094, 220.7522202, 327.2031501, 429.8749187, 496.9829720, 1857.0000000, 501.9027096, 441.7825399, 340.7461438, 231.8384006, 144.3782755, 96.7365197, 94.5785298, 137.8659097, 221.6332951, 329.0653108, 432.4532225, 499.4149467, 1858.0000000, 503.2764023, 441.8116287, 339.8715125, 230.7543704, 143.5311486, 96.1732839, 94.1661519, 137.6231474, 221.9257719, 330.4155475, 434.9871371, 502.5023840, 1859.0000000, 505.8444279, 443.1247546, 339.9691281, 230.1938185, 142.8587821, 95.5951293, 93.6040398, 137.0122570, 221.5319207, 330.8659917, 436.7892281, 505.4459642, 1860.0000000, 508.9663166, 445.4011667, 341.0122774, 230.2878725, 142.5225657, 95.1454939, 93.0377949, 136.2001409, 220.5737431, 330.3304785, 437.4361087, 507.5426786, 1861.0000000, 511.8976889, 448.0929872, 342.7333111, 230.9861077, 142.5773234, 94.9139511, 92.5908294, 135.3774107, 219.2958652, 328.9776219, 436.8313721, 508.3594887, 1862.0000000, 514.0095630, 450.6176921, 344.7545129, 232.1255621, 142.9969155, 94.9378770, 92.3490259, 134.7163416, 217.9862650, 327.1383407, 435.1586655, 507.7617271, 1863.0000000, 514.8665439, 452.4385380, 346.6425818, 233.4579239, 143.6834095, 95.2019997, 92.3513507, 134.3426210, 216.9166083, 325.2248974, 432.8280148, 505.9398025, 1864.0000000, 514.3299907, 453.1870557, 348.0020117, 234.7016778, 144.4899563, 95.6466137, 92.5900374, 134.3218306, 216.2962134, 323.6386624, 430.3595480, 503.3276750, 1865.0000000, 512.5514810, 452.7146300, 348.5363657, 235.5830462, 145.2401428, 96.1752698, 93.0128146, 134.6550920, 216.2530613, 322.7233782, 428.3129997, 500.5426980, 1866.0000000, 509.9662993, 451.1405905, 348.1125196, 235.8819106, 145.7488252, 96.6599276, 93.5193080, 135.2643082, 216.7974177, 322.6985972, 427.1944075, 498.3016275, 1867.0000000, 507.2685188, 448.9068284, 346.8603376, 235.5224589, 145.8773810, 96.9675859, 93.9710189, 135.9822082, 217.7735102, 323.5494848, 427.2763400, 497.1955978, 1868.0000000, 505.2106887, 446.6709616, 345.1713436, 234.6316892, 145.5984931, 97.0110374, 94.2351809, 136.5946456, 218.8846683, 325.0024661, 428.4945599, 497.5081810, 1869.0000000, 504.3844292, 445.1197356, 343.5967986, 233.5210270, 145.0229739, 96.7889806, 94.2340402, 136.9060435, 219.7620794, 326.5546601, 430.3874248, 499.0407960, 1870.0000000, 504.9611781, 444.6989008, 342.6420402, 232.5783781, 144.3710568, 96.4010186, 93.9922216, 136.8374476, 220.1299502, 327.6783494, 432.2690534, 501.1787357, 1871.0000000, 506.6162020, 445.4281094, 342.5497950, 232.0919856, 143.8650658, 95.9941697, 93.6170477, 136.4524102, 219.9170556, 328.0425678, 433.5242594, 503.1751159, 1872.0000000, 508.7211943, 446.9682006, 343.2654974, 232.1690365, 143.6490952, 95.6986729, 93.2407818, 135.9029817, 219.2399351, 327.5864723, 433.7926095, 504.4045677, 1873.0000000, 510.5893452, 448.7961514, 344.5247043, 232.7548417, 143.7729461, 95.5990707, 92.9802015, 135.3698501, 218.3344952, 326.4889241, 433.0236096, 504.5019730, 1874.0000000, 511.6448485, 450.3452742, 345.9365425, 233.6650481, 144.1931611, 95.7202221, 92.9087134, 135.0080110, 217.4689894, 325.0783015, 431.4455061, 503.4313607, 1875.0000000, 511.5684181, 451.1646464, 347.1070046, 234.6584374, 144.8066455, 96.0391428, 93.0548348, 134.9244051, 216.8823271, 323.7266927, 429.4472747, 501.4077642, 1876.0000000, 510.2846407, 450.9503952, 347.6779006, 235.4638026, 145.4641840, 96.4907526, 93.4039018, 135.1736453, 216.7661728, 322.8132993, 427.5394507, 498.8930462, 1877.0000000, 508.0132117, 449.6300116, 347.4024226, 235.8234266, 145.9860691, 96.9693071, 93.8912659, 135.7386336, 217.2210517, 322.6472024, 426.2541597, 496.5123223, 1878.0000000, 505.2494327, 447.4152840, 346.2294753, 235.5626431, 146.2006936, 97.3443816, 94.4056234, 136.5190886, 218.2193651, 323.3928472, 426.0329141, 494.9312756, 1879.0000000, 502.6793870, 444.7890408, 344.3510112, 234.6548963, 145.9938835, 97.4900166, 94.8056488, 137.3348721, 219.5800946, 325.0000039, 427.1081297, 494.7080129, 1880.0000000, 501.0495020, 442.4400803, 342.2134136, 233.2778967, 145.3681714, 97.3300359, 94.9559930, 137.9511958, 220.9595387, 327.1214297, 429.3258615, 496.0384208, 1881.0000000, 500.8891958, 441.0390942, 340.3966237, 231.7921521, 144.4776218, 96.8925612, 94.7988843, 138.1816561, 221.9753363, 329.2091396, 432.1518530, 498.6338086, 1882.0000000, 502.2780978, 440.9602579, 339.3710015, 230.5841766, 143.5578567, 96.2957475, 94.3779662, 137.9653551, 222.3580256, 330.7187295, 434.8621102, 501.8302463, 1883.0000000, 504.8405650, 442.1785367, 339.3496796, 229.9322098, 142.8356892, 95.6977146, 93.8161384, 137.3854949, 222.0499217, 331.3097519, 436.8047603, 504.8326269, 1884.0000000, 507.9027886, 444.3171464, 340.2505292, 229.9287988, 142.4526313, 95.2340273, 93.2581474, 136.6170720, 221.1970214, 330.9390911, 437.6107566, 506.9861463, 1885.0000000, 510.7442530, 446.8224253, 341.7826747, 230.4988961, 142.4461361, 94.9838748, 92.8208733, 135.8481830, 220.0517341, 329.8025687, 437.2351703, 507.9219292, 1886.0000000, 512.7901942, 449.1400348, 343.5706673, 231.4681612, 142.7768737, 94.9737892, 92.5798740, 135.2392307, 218.8908780, 328.2297323, 435.8805140, 507.5482279, 1887.0000000, 513.6593719, 450.7770241, 345.2029168, 232.5914665, 143.3419097, 95.1818419, 92.5663985, 134.9057950, 217.9746385, 326.6260974, 433.9653508, 506.0874779, 1888.0000000, 513.2639301, 451.4153625, 346.3159217, 233.5981727, 143.9927506, 95.5421239, 92.7635363, 134.8991205, 217.4925965, 325.3724393, 431.9996484, 503.9866831, 1889.0000000, 511.7948474, 450.9575024, 346.6547767, 234.2357773, 144.5578527, 95.9548757, 93.1106419, 135.2050876, 217.5494799, 324.7873174, 430.5270803, 501.8702907, 1890.0000000, 509.7247380, 449.5810380, 346.1431724, 234.3212708, 144.8673014, 96.2935103, 93.4996593, 135.7250872, 218.1176517, 325.0385558, 430.0032349, 500.4249640, 1891.0000000, 507.7535395, 447.7695210, 344.9692523, 233.8288541, 144.8119894, 96.4374879, 93.7928343, 136.2765397, 218.9990907, 326.0400075, 430.6157034, 500.1702588, 1892.0000000, 506.6000660, 446.1935367, 343.5716013, 232.9406916, 144.4074752, 96.3269349, 93.8744622, 136.6485707, 219.8680831, 327.4390786, 432.1756063, 501.2486886, 1893.0000000, 506.7373599, 445.4717686, 342.4880770, 231.9912942, 143.7990340, 95.9931031, 93.6992798, 136.6791950, 220.3733281, 328.7031672, 434.1284978, 503.3219735, 1894.0000000, 508.1888101, 445.9321094, 342.1562262, 231.3478174, 143.2152253, 95.5568979, 93.3244104, 136.3401267, 220.3008024, 329.3437260, 435.7659379, 505.6830456, 1895.0000000, 510.4966096, 447.4625230, 342.7190878, 231.2413732, 142.8563571, 95.1644243, 92.8723676, 135.7356005, 219.6542000, 329.1199568, 436.5341705, 507.5849215, 1896.0000000, 512.9755711, 449.6413341, 344.0446368, 231.7239697, 142.8357602, 94.9324739, 92.4742497, 135.0363180, 218.6052108, 328.0631908, 436.1681969, 508.4572629, 1897.0000000, 514.9377414, 451.9050332, 345.8165407, 232.6968150, 143.1735265, 94.9272136, 92.2349561, 134.4209962, 217.4142821, 326.4186283, 434.7129853, 508.0184658, 1898.0000000, 515.8466295, 453.6842393, 347.6210425, 233.9510085, 143.8073434, 95.1599664, 92.2163706, 134.0357234, 216.3559252, 324.5560912, 432.4762925, 506.3201376, 1899.0000000, 515.4389414, 454.5408532, 349.0500993, 235.2245419, 144.6168327, 95.5945403, 92.4341716, 133.9728287, 215.6598043, 322.8637101, 429.9037960, 503.6608218, 1900.0000000, 513.7129162, 454.2088733, 349.7512153, 236.2370321, 145.4416338, 96.1561728, 92.8631868, 134.2728414, 215.5036568, 321.7230929, 427.5448955, 500.5788149, 1901.0000000, 510.9720007, 452.6724851, 349.4974080, 236.7275716, 146.0918335, 96.7284248, 93.4259575, 134.8988828, 215.9603587, 321.4199763, 425.9376539, 497.7513691, 1902.0000000, 507.7961269, 450.2231290, 348.2865453, 236.5398855, 146.3972219, 97.1756968, 94.0011026, 135.7310264, 216.9679323, 322.0750857, 425.4937850, 495.8556168, 1903.0000000, 504.9296818, 447.4232463, 346.3782034, 235.6875674, 146.2605369, 97.3762569, 94.4436544, 136.5726247, 218.3043733, 323.5669556, 426.3592716, 495.3841099, 1904.0000000, 503.1030309, 444.9940295, 344.2722387, 234.3956249, 145.7151017, 97.2720870, 94.6304658, 137.1946754, 219.6120597, 325.4951961, 428.2838555, 496.4177343, 1905.0000000, 502.7550316, 443.5649657, 342.5510635, 233.0476545, 144.9398931, 96.9127201, 94.5261198, 137.4385201, 220.5335769, 327.3073528, 430.6715656, 498.5513809, 1906.0000000, 503.8303338, 443.4012644, 341.6224147, 232.0076645, 144.1707262, 96.4266205, 94.1938354, 137.2810760, 220.8611400, 328.5276574, 432.8345468, 501.0943281, 1907.0000000, 505.8716879, 444.3792260, 341.6188290, 231.5046581, 143.6113917, 95.9641990, 93.7591323, 136.8258169, 220.5911525, 328.9056084, 434.2166877, 503.3047417, 1908.0000000, 508.1940739, 446.0655580, 342.3922250, 231.5800450, 143.3722172, 95.6433648, 93.3559976, 136.2467370, 219.8967422, 328.4749009, 434.5671606, 504.6433214, 1909.0000000, 510.1431509, 447.9141991, 343.6245377, 232.1250288, 143.4644894, 95.5248124, 93.0850529, 135.7165962, 219.0275737, 327.4673152, 433.9303835, 504.8593255, 1910.0000000, 511.2399506, 449.4129578, 344.9373850, 232.9434911, 143.8270545, 95.6175245, 93.0042703, 135.3735310, 218.2397251, 326.2172708, 432.5689127, 503.9737988, 1911.0000000, 511.2243719, 450.1503332, 345.9491725, 233.7877134, 144.3439688, 95.8859350, 93.1293320, 135.3105089, 217.7636024, 325.1097067, 430.9213671, 502.2878409, 1912.0000000, 510.1202522, 449.9027742, 346.3444505, 234.3953103, 144.8570537, 96.2502620, 93.4258624, 135.5523374, 217.7511490, 324.4883623, 429.4905725, 500.3007707, 1913.0000000, 508.2259925, 448.6903837, 345.9505271, 234.5488890, 145.1991547, 96.6024170, 93.8172564, 136.0563805, 218.2613433, 324.6146647, 428.7766186, 498.6426162, 1914.0000000, 506.0849526, 446.7995787, 344.7886436, 234.1219392, 145.2195071, 96.8146999, 94.1817829, 136.6924278, 219.2086812, 325.5747449, 429.1504691, 497.9505585, 1915.0000000, 504.4155477, 444.7956515, 343.1498111, 233.1691995, 144.8525334, 96.7832331, 94.3817834, 137.2570532, 220.3396661, 327.1860382, 430.6766868, 498.6299862, 1916.0000000, 503.8736604, 443.3572895, 341.5327928, 231.9441762, 144.1668989, 96.4798674, 94.3195429, 137.5405184, 221.2940665, 329.0076698, 433.0262478, 500.6603105, 1917.0000000, 504.7928959, 443.0261172, 340.4667568, 230.8151172, 143.3509643, 95.9731239, 93.9844140, 137.4148063, 221.7378817, 330.4795493, 435.5561745, 503.5642091, 1918.0000000, 507.0419939, 444.0030198, 340.3165553, 230.1284216, 142.6428768, 95.4052148, 93.4637252, 136.8954592, 221.5069778, 331.1414783, 437.5364482, 506.5570474, 1919.0000000, 510.0497694, 446.0610609, 341.1382890, 230.0678023, 142.2277233, 94.9254085, 92.8966569, 136.1239306, 220.6668810, 330.8224171, 438.4597997, 508.8925405, 1920.0000000, 513.0880436, 448.7116482, 342.7341560, 230.6378565, 142.1933602, 94.6405519, 92.4149791, 135.2868707, 219.4301720, 329.6166043, 438.1226814, 510.0348758, 1921.0000000, 515.4667828, 451.3626750, 344.7490337, 231.7059152, 142.5376321, 94.6044168, 92.1176225, 134.5667601, 218.0821270, 327.8215520, 436.6375761, 509.7603620, 1922.0000000, 516.6807025, 453.4477574, 346.7548559, 233.0436277, 143.1818392, 94.8164657, 92.0569854, 134.1034675, 216.9030186, 325.8357601, 434.3623287, 508.1735311, 1923.0000000, 516.5030463, 454.5419972, 348.3389076, 234.3764186, 143.9926822, 95.2296693, 92.2384638, 133.9791918, 216.1192417, 324.0644697, 431.7870541, 505.6362968, 1924.0000000, 514.9920376, 454.4201243, 349.1667021, 235.4252784, 144.8033462, 95.7606045, 92.6258920, 134.2188907, 215.8912310, 322.8820052, 429.4784368, 502.7285589, 1925.0000000, 512.5039614, 453.1121489, 349.0399046, 235.9403965, 145.4236189, 96.2869032, 93.1310445, 134.7665596, 216.2641048, 322.5488099, 427.9701648, 500.1570022, 1926.0000000, 509.6748982, 450.9733634, 348.0093373, 235.7983596, 145.6975597, 96.6756045, 93.6268086, 135.4835210, 217.1370672, 323.1303568, 427.6209107, 498.5711235, 1927.0000000, 507.2585655, 448.6048075, 346.3836950, 235.0546119, 145.5544669, 96.8185793, 93.9728527, 136.1643989, 218.2532704, 324.4361061, 428.4865586, 498.3813664, 1928.0000000, 505.9384756, 446.7236237, 344.6899580, 233.9726766, 145.0618163, 96.6835436, 94.0674273, 136.5965034, 219.2496411, 326.0158472, 430.2161459, 499.5409149, 1929.0000000, 506.0367051, 445.8818110, 343.4782043, 232.9374573, 144.4159517, 96.3422004, 93.9027418, 136.6584936, 219.8059325, 327.3230680, 432.1608881, 501.5357825, 1930.0000000, 507.3672058, 446.2313685, 343.0825448, 232.2797437, 143.8472233, 95.9323709, 93.5642929, 136.3716056, 219.7841405, 327.9536197, 433.6631185, 503.6377840, 1931.0000000, 509.3807545, 447.5407400, 343.5455953, 232.1708788, 143.5309436, 95.5946895, 93.1811943, 135.8646556, 219.2429214, 327.7520552, 434.2563635, 505.1448369, 1932.0000000, 511.3696097, 449.3156046, 344.6535102, 232.6021801, 143.5470792, 95.4308096, 92.8800137, 135.3185830, 218.3958985, 326.8400319, 433.8056674, 505.6109870, 1933.0000000, 512.7134819, 450.9897047, 346.0439270, 233.4227509, 143.8774554, 95.4822102, 92.7465450, 134.8962587, 217.5031958, 325.5033883, 432.4553540, 504.8955131, 1934.0000000, 513.0057811, 452.0682079, 347.3193031, 234.4078695, 144.4377801, 95.7413601, 92.8241255, 134.7213884, 216.8168574, 324.1075086, 430.5513905, 503.1364158, 1935.0000000, 512.0877546, 452.1899214, 348.1009886, 235.2911206, 145.0919758, 96.1563341, 93.1121824, 134.8666950, 216.5476767, 323.0382685, 428.5792529, 500.7304998, 1936.0000000, 510.0913130, 451.2056337, 348.0992837, 235.8039727, 145.6661486, 96.6321187, 93.5602260, 135.3358027, 216.8231146, 322.6269328, 427.0686865, 498.2594295, 1937.0000000, 507.4320832, 449.2401998, 347.2005938, 235.7445085, 145.9862522, 97.0470989, 94.0734570, 136.0580332, 217.6618436, 323.0924585, 426.5012967, 496.3869095, 1938.0000000, 504.7406835, 446.6859640, 345.5078264, 235.0262165, 145.9104938, 97.2680908, 94.5159446, 136.8756506, 218.9322542, 324.4612108, 427.1957941, 495.7374333, 1939.0000000, 502.7819185, 444.1977759, 343.4045167, 233.7671964, 145.4028469, 97.1994462, 94.7454189, 137.5639156, 220.3324744, 326.4710797, 429.1186703, 496.6302795, 1940.0000000, 502.1722186, 442.4733639, 341.4449527, 232.2786124, 144.5714589, 96.8349282, 94.6756587, 137.9129617, 221.4789220, 328.6223056, 431.8454264, 498.9323348, 1941.0000000, 503.1504132, 442.0059250, 340.1584430, 230.9558973, 143.6353290, 96.2679486, 94.3183309, 137.8168509, 222.0512530, 330.3425643, 434.6797818, 502.0718804, 1942.0000000, 505.4733213, 442.9009989, 339.8531921, 230.1265765, 142.8356605, 95.6521017, 93.7778032, 137.3177052, 221.9213920, 331.2064911, 436.9078678, 505.2465411, 1943.0000000, 508.5181836, 444.8653752, 340.5287721, 229.9407467, 142.3443943, 95.1351708, 93.1992365, 136.5735282, 221.1869920, 331.0898517, 438.0712891, 507.7432432, 1944.0000000, 511.5582195, 447.3824868, 341.9476524, 230.3694022, 142.2287160, 94.8132244, 92.7089791, 135.7711129, 220.0723738, 330.1172421, 438.0181476, 509.0855767, 1945.0000000, 513.9506023, 449.8805292, 343.7515693, 231.2664387, 142.4736680, 94.7308177, 92.3984960, 135.0863593, 218.8602244, 328.5955179, 436.8888085, 509.0964644, 1946.0000000, 515.2400769, 451.8279269, 345.5242701, 232.3993021, 142.9912976, 94.8785132, 92.3110528, 134.6479648, 217.8186461, 326.9160236, 435.0492061, 507.9112809, 1947.0000000, 515.2481785, 452.8463259, 346.8814552, 233.5024623, 143.6465735, 95.2040350, 92.4448444, 134.5276476, 217.1612331, 325.4726253, 432.9889018, 505.9122699, 1948.0000000, 514.0750698, 452.7586946, 347.5240448, 234.3121152, 144.2735785, 95.6185646, 92.7542386, 134.7346878, 217.0251809, 324.6147092, 431.2576029, 503.6836552, 1949.0000000, 512.1097437, 451.6468943, 347.3030792, 234.6091610, 144.6935651, 95.9998178, 93.1438470, 135.1962190, 217.4268914, 324.5667218, 430.3589998, 501.9231101, 1950.0000000, 510.0108258, 449.9164565, 346.3276544, 234.3149427, 144.7739105, 96.2221661, 93.4828026, 135.7540287, 218.2211989, 325.3252473, 430.5742813, 501.2190993, 1951.0000000, 508.5095421, 448.1907581, 344.9585175, 233.5398868, 144.4833239, 96.2003183, 93.6425976, 136.2000351, 219.1183985, 326.6248690, 431.8509166, 501.8684553, 1952.0000000, 508.2038373, 447.1502971, 343.7332442, 232.5842777, 143.9285006, 95.9339491, 93.5494236, 136.3445797, 219.7544921, 327.9622891, 433.7238714, 503.6720764, 1953.0000000, 509.2666218, 447.2378643, 343.1476421, 231.8251886, 143.3230692, 95.5210018, 93.2300540, 136.1149260, 219.8615010, 328.8127637, 435.5019864, 506.0086573, 1954.0000000, 511.3727230, 448.4763738, 343.4446549, 231.5469077, 142.8847522, 95.1056913, 92.7914893, 135.5781060, 219.3755559, 328.8493324, 436.5626984, 508.1162352, 1955.0000000, 513.8836237, 450.5270065, 344.5745589, 231.8593478, 142.7574436, 94.8171580, 92.3656605, 134.8885248, 218.4196956, 328.0156153, 436.5345045, 509.3405238, 1956.0000000, 516.0817072, 452.8487181, 346.2685767, 232.7090163, 142.9918903, 94.7400933, 92.0699569, 134.2305831, 217.2407646, 326.5077238, 435.3785567, 509.3087430, 1957.0000000, 517.3684715, 454.8547929, 348.1275783, 233.9113057, 143.5459487, 94.8997930, 91.9772929, 133.7585929, 216.1090504, 324.6610569, 433.3279663, 507.9739252, 1958.0000000, 517.3955701, 456.0640502, 349.7413367, 235.2224876, 144.3194894, 95.2765463, 92.1192718, 133.5837053, 215.2714540, 322.8635718, 430.7914960, 505.5570983, 1959.0000000, 516.0683167, 456.1392163, 350.7253329, 236.3601590, 145.1619874, 95.8069720, 92.4834053, 133.7631354, 214.9244417, 321.5061324, 428.2992343, 502.5371136, 1960.0000000, 513.6035697, 454.9846377, 350.8061021, 237.0512949, 145.8898992, 96.3867095, 93.0084378, 134.2843894, 215.1742727, 320.9067622, 426.3992430, 499.5577430, 1961.0000000, 510.5029244, 452.7964484, 349.9060323, 237.1011728, 146.3237410, 96.8852685, 93.5871000, 135.0552770, 216.0050658, 321.2444351, 425.5533972, 497.3096609, 1962.0000000, 507.4700590, 450.0533033, 348.1936689, 236.4578454, 146.3340399, 97.1710381, 94.0783550, 135.9016313, 217.2477663, 322.4848170, 426.0149660, 496.3815237, 1963.0000000, 505.2847405, 447.4647252, 346.1147270, 235.2850597, 145.9098870, 97.1604212, 94.3450737, 136.5943257, 218.5727640, 324.2992702, 427.6474651, 496.9852827, 1964.0000000, 504.4946046, 445.7150120, 344.2494410, 233.9310326, 145.1900737, 96.8698040, 94.3220797, 136.9467190, 219.6120004, 326.1690349, 429.9516496, 498.8668246, 1965.0000000, 505.2122456, 445.2072002, 343.0849965, 232.7838202, 144.4020698, 96.4066612, 94.0418346, 136.8881735, 220.0960330, 327.5667632, 432.2313483, 501.3894396, 1966.0000000, 507.0849466, 445.9367262, 342.8505547, 232.1287641, 143.7711234, 95.9226332, 93.6171683, 136.4886514, 219.9588639, 328.1608567, 433.8618714, 503.7882751, 1967.0000000, 509.4612103, 447.5418029, 343.4750687, 232.0650913, 143.4399562, 95.5500444, 93.1851312, 135.9091633, 219.3306661, 327.9061003, 434.4961009, 505.4454545, 1968.0000000, 511.6534746, 449.4898502, 344.6793540, 232.5237671, 143.4478324, 95.3664925, 92.8569363, 135.3246793, 218.4415751, 326.9779579, 434.0876427, 506.0126594, 1969.0000000, 513.1151164, 451.2473248, 346.0994582, 233.3364669, 143.7584891, 95.3994361, 92.7066572, 134.8887475, 217.5536996, 325.6894038, 432.8374842, 505.4203274, 1970.0000000, 513.4979708, 452.3465184, 347.3351513, 234.2606480, 144.2683622, 95.6252462, 92.7621101, 134.7082417, 216.9079146, 324.4180080, 431.1443660, 503.8971590, 1971.0000000, 512.7446075, 452.5047285, 348.0478478, 235.0378665, 144.8334276, 95.9792391, 93.0057601, 134.8301475, 216.6810312, 323.5205163, 429.4906405, 501.8766355, 1972.0000000, 511.0560180, 451.6482128, 348.0038262, 235.4270892, 145.2861841, 96.3622920, 93.3760245, 135.2367886, 216.9678308, 323.2950075, 428.3932118, 499.9648564, 1973.0000000, 508.9080811, 449.9757616, 347.1502941, 235.2603506, 145.4630701, 96.6496186, 93.7644173, 135.8266652, 217.7325788, 323.8918253, 428.2801005, 498.8214110, 1974.0000000, 506.9898282, 447.9805520, 345.6951756, 234.5290889, 145.2648168, 96.7250195, 94.0347980, 136.4166818, 218.7730890, 325.2137872, 429.3183583, 498.9390667, 1975.0000000, 505.9976139, 446.3244276, 344.0810225, 233.4238779, 144.7133739, 96.5318876, 94.0726274, 136.7952982, 219.7612555, 326.9048838, 431.3150906, 500.4560574, 1976.0000000, 506.4027288, 445.6304090, 342.8557888, 232.2903131, 143.9618128, 96.1055045, 93.8337398, 136.7974446, 220.3359112, 328.4160815, 433.6970822, 503.0179620, 1977.0000000, 508.2183956, 446.2239007, 342.4616136, 231.5035914, 143.2461338, 95.5722024, 93.3791145, 136.3959325, 220.2774237, 329.2445293, 435.7381647, 505.9050558, 1978.0000000, 510.9832699, 447.9969968, 343.0496064, 231.3033230, 142.7735488, 95.0832355, 92.8353510, 135.6966764, 219.5826913, 329.1276174, 436.8500684, 508.3361916, 1979.0000000, 513.9919232, 450.5240942, 344.4938900, 231.7504270, 142.6652377, 94.7617037, 92.3398645, 134.8770906, 218.4255813, 328.0838727, 436.7335282, 509.6950143, 1980.0000000, 516.5176496, 453.2226548, 346.4753505, 232.7508512, 142.9471471, 94.6792775, 92.0041216, 134.1255805, 217.0779777, 326.3619046, 435.4168967, 509.6628505, 1981.0000000, 517.9832937, 455.4953953, 348.5690283, 234.0944601, 143.5591217, 94.8499794, 91.8934682, 133.5939629, 215.8224021, 324.3362086, 433.1979749, 508.2609973, 1982.0000000, 518.0861386, 456.8742592, 350.3548412, 235.5200556, 144.3855456, 95.2423220, 92.0287959, 133.3825449, 214.9006154, 322.4084623, 430.5261509, 505.7698224, 1983.0000000, 516.7846084, 457.0514204, 351.4540089, 236.7380920, 145.2658033, 95.7835987, 92.3876599, 133.5361333, 214.4979120, 320.9716562, 427.9624457, 502.7268161, 1984.0000000, 514.3637713, 455.9839069, 351.6194630, 237.4808256, 146.0114759, 96.3612395, 92.8973894, 134.0237746, 214.6941428, 320.3188444, 426.0491884, 499.8046309, 1985.0000000, 511.3818380, 453.9293829, 350.8187396, 237.5760095, 146.4491428, 96.8425220, 93.4424288, 134.7347258, 215.4395303, 320.5847957, 425.2118649, 497.6886250, 1986.0000000, 508.5776088, 451.4274305, 349.2812770, 237.0146399, 146.4718370, 97.1048068, 93.8819614, 135.4821097, 216.5277368, 321.6664636, 425.6169000, 496.8915845, 1987.0000000, 506.6946789, 449.1971125, 347.4905166, 236.0022765, 146.1001446, 97.0849769, 94.0933638, 136.0438825, 217.6153246, 323.1814980, 427.0303723, 497.5089684, 1988.0000000, 506.1843228, 447.8729575, 346.0224103, 234.9088184, 145.5003964, 96.8246319, 94.0377869, 136.2649432, 218.3596508, 324.6018828, 428.8834063, 499.1614078, 1989.0000000, 507.0163469, 447.7416890, 345.2961781, 234.0980790, 144.9017303, 96.4446042, 93.7713444, 136.1167909, 218.5535994, 325.4591167, 430.4949855, 501.1604880, 1990.0000000, 508.7357331, 448.6875480, 345.4555648, 233.8068319, 144.5099951, 96.0939562, 93.4168580, 135.7008089, 218.1972264, 325.5155904, 431.3229303, 502.7663872, 1991.0000000, 510.6469154, 450.2658447, 346.3481359, 234.0770854, 144.4362768, 95.8898693, 93.1060479, 135.1877675, 217.4638364, 324.8155340, 431.1355205, 503.4517154, 1992.0000000, 512.0905333, 451.9161613, 347.6445598, 234.7956893, 144.6912632, 95.8929405, 92.9386555, 134.7482514, 216.6021957, 323.5981299, 429.9950639, 502.9828712, 1993.0000000, 512.5894917, 453.1130340, 348.9507541, 235.7574808, 145.2110811, 96.1120596, 92.9730190, 134.5205469, 215.8692670, 322.2059489, 428.1856569, 501.4086606, 1994.0000000, 511.8979422, 453.4366129, 349.8648284, 236.6977050, 145.8710476, 96.5080685, 93.2229467, 134.5955201, 215.4928697, 321.0255119, 426.1625434, 499.0642837, 1995.0000000, 510.0742474, 452.6791426, 350.0680279, 237.3443623, 146.5062737, 96.9982913, 93.6531850, 134.9976839, 215.6235097, 320.3982769, 424.4314415, 496.4629678, 1996.0000000, 507.4362751, 450.8701259, 349.3810335, 237.4662560, 146.9386398, 97.4687246, 94.1845960, 135.6849397, 216.3235888, 320.5908152, 423.5029974, 494.2582097, 1997.0000000, 504.5614868, 448.3244908, 347.8344420, 236.9300078, 147.0064776, 97.7835147, 94.6903029, 136.5253163, 217.5104601, 321.6946920, 423.7537074, 493.0984955, 1998.0000000, 502.1906735, 445.6338931, 345.7346405, 235.7898445, 146.6353570, 97.8293275, 95.0244674, 137.3105630, 218.9342402, 323.5411684, 425.2676224, 493.4104551, 1999.0000000, 501.0051428, 443.5046684, 343.6010328, 234.3053733, 145.8885858, 97.5681549, 95.0773562, 137.8181935, 220.2296976, 325.7024624, 427.7458290, 495.2118325, 2000.0000000, 501.3790606, 442.5194381, 341.9967952, 232.8638639, 144.9582233, 97.0625079, 94.8249550, 137.8979327, 221.0374890, 327.6058250, 430.5546104, 498.0508940, 2001.0000000, 503.2145185, 442.9154813, 341.3221019, 231.8387232, 144.0967046, 96.4582571, 94.3494704, 137.5481171, 221.1646547, 328.7651559, 432.9602693, 501.1624683, 2002.0000000, 505.9700461, 444.4951879, 341.6591548, 231.4346135, 143.5025095, 95.9107823, 93.7893527, 136.8969333, 220.6432876, 328.9640477, 434.4219008, 503.7965469, 2003.0000000, 508.9365666, 446.7969758, 342.8360703, 231.6775125, 143.2788186, 95.5368242, 93.2822334, 136.1290162, 219.6649076, 328.2526468, 434.6881966, 505.3891589, 2004.0000000, 511.4220788, 449.2409657, 344.5128720, 232.4479789, 143.4336711, 95.3979708, 92.9336538, 135.4299315, 218.5040311, 326.8939274, 433.8210184, 505.6766752, 2005.0000000, 512.9085984, 451.2695415, 346.2761822, 233.5297822, 143.8968428, 95.5000503, 92.8022023, 134.9451541, 217.4377305, 325.2603700, 432.1275081, 504.7102553, 2006.0000000, 513.1397745, 452.4563747, 347.7261130, 234.6621762, 144.5451078, 95.8033293, 92.9003370, 134.7649706, 216.6968598, 323.7435323, 430.0554520, 502.7904960, 2007.0000000, 512.1207476, 452.5485976, 348.5227223, 235.5706951, 145.2177988, 96.2297127, 93.1979370, 134.9233885, 216.4523995, 322.7209692, 428.1534400, 500.4575471, 2008.0000000, 510.1649210, 451.5503893, 348.4620098, 236.0103249, 145.7308815, 96.6618233, 93.6117872, 135.3714736, 216.7585745, 322.4565710, 426.9396544, 498.3766407, 2009.0000000, 507.8537852, 449.7723963, 347.5723009, 235.8528167, 145.9311122, 96.9710367, 94.0203859, 135.9797152, 217.5292256, 323.0335214, 426.7835289, 497.1890387, 2010.0000000, 505.9132080, 447.7821006, 346.1378085, 235.1423904, 145.7452618, 97.0501224, 94.2857864, 136.5476000, 218.5164694, 324.2743106, 427.7531097, 497.3081350, 2011.0000000, 505.0151540, 446.2762450, 344.6672831, 234.1326038, 145.2378135, 96.8671355, 94.3080866, 136.8657719, 219.3629131, 325.7372742, 429.5076122, 498.6935329, 2012.0000000, 505.4794075, 445.7965817, 343.6986806, 233.2001392, 144.6020593, 96.4938980, 94.0814739, 136.8171225, 219.7552331, 326.8850157, 431.4081014, 500.8400320, 2013.0000000, 507.1250650, 446.4946021, 343.5613846, 232.6703901, 144.0647483, 96.0666476, 93.6911211, 136.4235239, 219.5567095, 327.3136027, 432.7948782, 503.0168152, 2014.0000000, 509.4024219, 448.1410554, 344.3013101, 232.7175355, 143.8034034, 95.7280827, 93.2690350, 135.8187565, 218.8329987, 326.8730608, 433.1995336, 504.5103199, 2015.0000000, 511.5875206, 450.2275680, 345.6960579, 233.3290049, 143.8965741, 95.5795854, 92.9424827, 135.1863329, 217.8032972, 325.6925974, 432.4917929, 504.8716393, 2016.0000000, 513.0507658, 452.1790946, 347.3796628, 234.3545564, 144.3279780, 95.6644395, 92.7993106, 134.6922931, 216.7327187, 324.0636640, 430.8168620, 503.9494170, 2017.0000000, 513.3641801, 453.4783630, 348.9401898, 235.5643954, 145.0134937, 95.9769497, 92.8856273, 134.4649403, 215.8808367, 322.3619780, 428.5294429, 501.8809493, 2018.0000000, 512.3533406, 453.7393705, 349.9776079, 236.6808247, 145.8140143, 96.4659605, 93.2033944, 134.5816308, 215.4659432, 320.9840445, 426.1284200, 499.0720656, 2019.0000000, 510.1466463, 452.7968209, 350.1830995, 237.4228381, 146.5512686, 97.0366388, 93.7046561, 135.0508322, 215.6223534, 320.2691690, 424.1500871, 496.1059500, 2020.0000000, 507.1497544, 450.7530611, 349.4163277, 237.5687124, 147.0421140, 97.5655254, 94.2972789, 135.8100070, 216.3838475, 320.4565967, 423.0986979, 493.6673580, 2021.0000000, 504.0061490, 447.9969936, 347.7623907, 237.0110602, 147.1303047, 97.9123967, 94.8433357, 136.7049952, 217.6292986, 321.5872580, 423.3076991, 492.3945433, 2022.0000000, 501.4923458, 445.1877936, 345.5976899, 235.8538118, 146.7669156, 97.9735622, 95.1971050, 137.5148590, 219.0724367, 323.4255063, 424.7716700, 492.6306482, 2023.0000000, 500.2418091, 443.0318051, 343.4745602, 234.3973189, 146.0467798, 97.7315912, 95.2637236, 138.0261659, 220.3397531, 325.4991038, 427.1040064, 494.2766382, 2024.0000000, 500.5185896, 442.0400610, 341.9318549, 233.0368649, 145.1819105, 97.2703657, 95.0437005, 138.1216512, 221.1090258, 327.2556468, 429.6460188, 496.8004667, 2025.0000000, 502.1094069, 442.3382253, 341.2913103, 232.1067759, 144.4137161, 96.7391269, 94.6329305, 137.8304168, 221.2420214, 328.2791973, 431.7192095, 499.4445979, 2026.0000000, 504.4258234, 443.6510527, 341.5599628, 231.7598522, 143.9137603, 96.2824261, 94.1692748, 137.2955497, 220.8167039, 328.4372754, 432.8870129, 501.5432244, 2027.0000000, 506.7900621, 445.4954717, 342.5183422, 231.9761142, 143.7534373, 95.9972295, 93.7762361, 136.6936885, 220.0359111, 327.8317403, 432.9941481, 502.6443425, 2028.0000000, 508.5938681, 447.3239757, 343.8180819, 232.6118472, 143.9181621, 95.9279693, 93.5437985, 136.1941831, 219.1660139, 326.7469897, 432.1730079, 502.5941931, 2029.0000000, 509.4268426, 448.6455253, 345.0649277, 233.4415860, 144.3208597, 96.0645539, 93.5136067, 135.9202597, 218.4590879, 325.5450454, 430.7605594, 501.5242930, 2030.0000000, 509.1375693, 449.1192975, 345.9014008, 234.2113142, 144.8292548, 96.3547055, 93.6828685, 135.9403376, 218.1174879, 324.5946106, 429.2127527, 499.7957700, 2031.0000000, 507.8341197, 448.5959752, 346.0542925, 234.6706859, 145.2813659, 96.7097199, 94.0050360, 136.2616585, 218.2724382, 324.2278852, 428.0498221, 497.9663001, 2032.0000000, 505.9024660, 447.1797297, 345.4035590, 234.6193371, 145.5051358, 97.0076968, 94.3823280, 136.8066468, 218.9315725, 324.6512049, 427.7413845, 496.6899996, 2033.0000000, 503.9711388, 445.2745849, 344.0769512, 233.9984729, 145.3793234, 97.1273882, 94.6848346, 137.4165123, 219.9487703, 325.8576487, 428.5551111, 496.5277185, 2034.0000000, 502.7404177, 443.4874129, 342.4370814, 232.9284390, 144.8802047, 96.9861726, 94.7827429, 137.8779207, 221.0265561, 327.5751021, 430.4309271, 497.7620507, 2035.0000000, 502.7883118, 442.4842139, 341.0212089, 231.7194117, 144.1248488, 96.5899960, 94.6043994, 137.9978979, 221.7914305, 329.2901175, 432.8991991, 500.1907084, 2036.0000000, 504.2783329, 442.6947547, 340.3179312, 230.7504844, 143.3334203, 96.0429534, 94.1805373, 137.7024600, 221.9644185, 330.4597651, 435.2552154, 503.1905871, 2037.0000000, 506.8890104, 444.1439060, 340.5710057, 230.3090158, 142.7289924, 95.4951856, 93.6238213, 137.0610149, 221.4726173, 330.7321294, 436.8471615, 505.9823273, 2038.0000000, 509.9810090, 446.4998743, 341.7385141, 230.5120597, 142.4625741, 95.0831675, 93.0746122, 136.2371690, 220.4404537, 330.0316036, 437.2637092, 507.8699740, 2039.0000000, 512.8094098, 449.2103409, 343.5483242, 231.3062322, 142.5873292, 94.8958577, 92.6574717, 135.4271335, 219.1276118, 328.5548023, 436.4442502, 508.4477777, 2040.0000000, 514.7521284, 451.6810153, 345.6033935, 232.5109146, 143.0644625, 94.9618181, 92.4503444, 134.7944915, 217.8163201, 326.6403369, 434.6008174, 507.6242548, 2041.0000000, 515.4157051, 453.4032377, 347.4839786, 233.8821247, 143.7961337, 95.2642681, 92.4895875, 134.4602578, 216.7716229, 324.6954345, 432.1456765, 505.5993235, 2042.0000000, 514.6698088, 454.0106150, 348.7913863, 235.1337713, 144.6319396, 95.7408768, 92.7648099, 134.4870684, 216.2011867, 323.1263944, 429.6170835, 502.8384358, 2043.0000000, 512.7001794, 453.3771982, 349.2360986, 235.9892896, 145.3898763, 96.2895371, 93.2173532, 134.8669192, 216.2203060, 322.2645586, 427.5729252, 499.9772215, 2044.0000000, 509.9783895, 451.6626292, 348.7154877, 236.2447861, 145.8905551, 96.7827789, 93.7443931, 135.5150311, 216.8257054, 322.3082337, 426.4943642, 497.7123032, 2045.0000000, 507.1909410, 449.3121152, 347.3661938, 235.8293017, 145.9974212, 97.0878820, 94.2064154, 136.2617186, 217.8576398, 323.2381856, 426.6534463, 496.6455969, 2046.0000000, 505.1153753, 447.0160652, 345.6090162, 234.8884279, 145.6915794, 97.1197904, 94.4685771, 136.8845136, 218.9999852, 324.7463694, 427.9387634, 497.0120874, 2047.0000000, 504.3082565, 445.4483552, 344.0008976, 233.7472705, 145.0967496, 96.8871492, 94.4620489, 137.1973322, 219.8920766, 326.3312763, 429.8783977, 498.5903226, 2048.0000000, 504.9118578, 445.0290763, 343.0312550, 232.7871260, 144.4322449, 96.4911631, 94.2144742, 137.1259554, 220.2644453, 327.4711276, 431.7871362, 500.7584670, 2049.0000000, 506.5891602, 445.7663063, 342.9357142, 232.2937719, 143.9206882, 96.0804533, 93.8358938, 136.7382768, 220.0515689, 327.8389519, 433.0476537, 502.7581489, 2050.0000000, 508.6927166, 447.3005850, 343.6444083, 232.3661852, 143.7035016, 95.7858381, 93.4619250, 136.1944940, 219.3858850, 327.3978639, 433.3258629, 503.9832878, 2051.0000000, 510.5408087, 449.1001293, 344.8772760, 232.9345836, 143.8195006, 95.6844631, 93.2033128, 135.6692545, 218.4988239, 326.3285041, 432.5838749, 504.0911241, 2052.0000000, 511.5832864, 450.6203558, 346.2583788, 233.8227499, 144.2288757, 95.8027837, 93.1344796, 135.3184975, 217.6595353, 324.9598646, 431.0489126, 503.0412526, 2053.0000000, 511.4917419, 451.3969266, 347.3795350, 234.7781167, 144.8211056, 96.1130744, 93.2803623, 135.2466087, 217.1077215, 323.6727987, 429.1316807, 501.0832309, 2054.0000000, 510.2289964, 451.1566733, 347.9000177, 235.5353706, 145.4465247, 96.5474312, 93.6218183, 135.5006141, 217.0228463, 322.8312628, 427.3294501, 498.6732332, 2055.0000000, 508.0195454, 449.8391788, 347.5856850, 235.8454468, 145.9295335, 97.0011763, 94.0934657, 136.0607680, 217.5008173, 322.7387087, 426.1703203, 496.4368101, 2056.0000000, 505.3641934, 447.6639738, 346.3919582, 235.5371639, 146.0990395, 97.3424798, 94.5808004, 136.8209667, 218.5053567, 323.5508695, 426.0924176, 495.0474228, 2057.0000000, 502.9699517, 445.1431371, 344.5392028, 234.6040963, 145.8512549, 97.4488722, 94.9409863, 137.5923927, 219.8347307, 325.1817821, 427.2825515, 495.0189642, 2058.0000000, 501.5523158, 442.9538527, 342.4786801, 233.2367093, 145.2016618, 97.2545482, 95.0477631, 138.1488948, 221.1500310, 327.2812078, 429.5743455, 496.5292061, 2059.0000000, 501.6231937, 441.7546312, 340.7845786, 231.7950657, 144.3068452, 96.7908764, 94.8465354, 138.3056534, 222.0642156, 329.2837118, 432.4023161, 499.2523044, 2060.0000000, 503.2304717, 441.9006156, 339.9215565, 230.6694412, 143.4102470, 96.1851301, 94.3923727, 138.0176453, 222.3254361, 330.6533816, 435.0311097, 502.4923454, 2061.0000000, 505.9553439, 443.3254169, 340.0722098, 230.1204523, 142.7312202, 95.5943417, 93.8121472, 137.3797236, 221.8981917, 331.0777106, 436.8302469, 505.4592490, 2062.0000000, 509.1136863, 445.6353341, 341.1384824, 230.2286869, 142.4037961, 95.1500809, 93.2488929, 136.5686554, 220.9371007, 330.5286272, 437.4444120, 507.5014253, 2063.0000000, 511.9784508, 448.2675153, 342.8222417, 230.9149624, 142.4635920, 94.9312017, 92.8211883, 135.7788692, 219.7092411, 329.2256252, 436.8509716, 508.2573308, 2064.0000000, 513.9616534, 450.6411160, 344.7211716, 231.9851780, 142.8592733, 94.9571370, 92.5995463, 135.1677050, 218.4960464, 327.5191669, 435.2927617, 507.6832075, 2065.0000000, 514.7210836, 452.2851756, 346.4319121, 233.1955231, 143.4866623, 95.2038466, 92.6121990, 134.8458157, 217.5506192, 325.8090310, 433.1871361, 506.0022751, 2066.0000000, 514.1636207, 452.8696146, 347.5779855, 234.2661313, 144.1924081, 95.6029705, 92.8407738, 134.8643896, 217.0675261, 324.4924834, 431.0763725, 503.7041089, 2067.0000000, 512.5188260, 452.3185353, 347.9085781, 234.9397019, 144.7985746, 96.0489328, 93.2181931, 135.2001640, 217.1387101, 323.8750156, 429.5010972, 501.4284416, 2068.0000000, 510.2884663, 450.8390551, 347.3670491, 235.0420939, 145.1375902, 96.4147132, 93.6341979, 135.7493443, 217.7262425, 324.1093930, 428.9017908, 499.8545652, 2069.0000000, 508.1765210, 448.9247308, 346.1502351, 234.5521796, 145.1022520, 96.5804190, 93.9509868, 136.3286167, 218.6302020, 325.1062643, 429.4644458, 499.5083298, 2070.0000000, 506.9187201, 447.2683512, 344.7150426, 233.6619006, 144.7111007, 96.4856620, 94.0497784, 136.7196599, 219.5093282, 326.4860785, 430.9636994, 500.4964898, 2071.0000000, 506.9668439, 446.4875510, 343.6120412, 232.7215945, 144.1220061, 96.1709224, 93.8940333, 136.7711608, 220.0242627, 327.7230437, 432.8376691, 502.4559076, 2072.0000000, 508.3098350, 446.8784795, 343.2569998, 232.0866151, 143.5583166, 95.7552923, 93.5408999, 136.4572026, 219.9677268, 328.3400449, 434.3896711, 504.6854360, 2073.0000000, 510.4893984, 448.3265912, 343.7921956, 231.9892917, 143.2221661, 95.3867419, 93.1151935, 135.8856909, 219.3496611, 328.1042990, 435.0703591, 506.4321776, 2074.0000000, 512.8020768, 450.3869107, 345.0667236, 232.4707043, 143.2220958, 95.1805104, 92.7485295, 135.2310501, 218.3520558, 327.0683813, 434.6451649, 507.1532065, 2075.0000000, 514.5719760, 452.4916374, 346.7516490, 233.4197346, 143.5694474, 95.1970086, 92.5409473, 134.6667108, 217.2315538, 325.4815539, 433.1776684, 506.5989788, 2076.0000000, 515.2967485, 454.0961568, 348.4460733, 234.6317781, 144.2024417, 95.4468550, 92.5529430, 134.3358107, 216.2567499, 323.7057039, 430.9686977, 504.8172964, 2077.0000000, 514.7097587, 454.7553107, 349.7315240, 235.8356766, 144.9950364, 95.8907756, 92.7984109, 134.3303649, 215.6606386, 322.1395740, 428.4891405, 502.1487543, 2078.0000000, 512.8570634, 454.2394670, 350.2728726, 236.7538161, 145.7832969, 96.4489257, 93.2457361, 134.6804950, 215.6034875, 321.1411026, 426.2651639, 499.1192326, 2079.0000000, 510.0468657, 452.5496621, 349.8606364, 237.1363596, 146.3822262, 97.0063816, 93.8175310, 135.3487317, 216.1574261, 320.9951453, 424.8347064, 496.4100769, 2080.0000000, 506.8699771, 449.9916667, 348.5036870, 236.8314075, 146.6208994, 97.4245203, 94.3876056, 136.2074053, 217.2492036, 321.8088980, 424.5977350, 494.6960150, 2081.0000000, 504.0846038, 447.1552591, 346.4907524, 235.8728758, 146.4115230, 97.5838881, 94.8085341, 137.0516852, 218.6398343, 323.4334168, 425.6649210, 494.4351022, 2082.0000000, 502.3987423, 444.7579254, 344.3335740, 234.5029878, 145.8016808, 97.4361679, 94.9644184, 137.6579908, 219.9727635, 325.4617043, 427.7701445, 495.6843891, 2083.0000000, 502.2248582, 443.4091257, 342.6045930, 233.1035750, 144.9724117, 97.0334860, 94.8216719, 137.8674886, 220.8860481, 327.3305434, 430.3005399, 498.0191691, 2084.0000000, 503.4917170, 443.3666542, 341.7139614, 232.0475390, 144.1697566, 96.5136174, 94.4533078, 137.6684387, 221.1818173, 328.5651636, 432.5534390, 500.7167653, 2085.0000000, 505.6988821, 444.4637782, 341.7614065, 231.5449541, 143.5896996, 96.0257150, 93.9878456, 137.1730094, 220.8731535, 328.9383598, 433.9972153, 503.0551711, 2086.0000000, 508.1722796, 446.2691229, 342.5952026, 231.6319861, 143.3384472, 95.6852629, 93.5580985, 136.5551887, 220.1341533, 328.4849255, 434.3811162, 504.4922705, 2087.0000000, 510.2527709, 448.2317007, 343.8932333, 232.1972032, 143.4260514, 95.5528558, 93.2659422, 135.9914471, 219.2221931, 327.4472251, 433.7581818, 504.7795090, 2088.0000000, 511.4557834, 449.8283207, 345.2653102, 233.0352121, 143.7854197, 95.6339444, 93.1671805, 135.6195150, 218.3971424, 326.1716083, 432.4123778, 503.9649840, 2089.0000000, 511.5469470, 450.6663230, 346.3402181, 233.9018985, 144.3003568, 95.8910035, 93.2741611, 135.5263903, 217.8793831, 325.0286366, 430.7649120, 502.3321899, 2090.0000000, 510.5353236, 450.5131883, 346.7997991, 234.5360837, 144.8150423, 96.2464836, 93.5551100, 135.7415365, 217.8299437, 324.3775679, 429.3398193, 500.4020733, 2091.0000000, 508.7350086, 449.3953706, 346.4698816, 234.7155070, 145.1572059, 96.5874676, 93.9275750, 136.2133703, 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493.5302538, end_data := l ;