# 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 : -15 # 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, 466.7490804, 452.8469049, 426.6739096, 386.9055169, 342.9164480, 312.6927903, 314.2078584, 350.7795329, 404.7016531, 449.8973572, 471.0721041, 472.1662801, -2998.0000000, 465.1678986, 452.3031068, 427.1698897, 388.1580958, 344.5057713, 314.2732182, 315.5705340, 351.6866933, 404.7877328, 448.9135220, 469.1805867, 469.8723082, -2997.0000000, 463.0337579, 450.7873320, 426.5428499, 388.4206839, 345.4295023, 315.5767188, 317.0585670, 353.1602231, 405.8695641, 449.1578719, 468.4033650, 468.2721954, -2996.0000000, 461.0237601, 448.8337112, 425.0683633, 387.6789658, 345.4388595, 316.2071831, 318.1925748, 354.6983659, 407.5394236, 450.4663089, 468.9048822, 467.8290733, -2995.0000000, 459.7895824, 447.1328290, 423.3165156, 386.2650513, 344.5938016, 315.9841772, 318.5904047, 355.7510586, 409.1733029, 452.3169655, 470.4337456, 468.6299132, -2994.0000000, 459.7233581, 446.2823271, 421.9441354, 384.7411049, 343.2560730, 315.0316434, 318.1291953, 355.9319433, 410.1499764, 453.9964954, 472.3921079, 470.3470363, -2993.0000000, 460.8227620, 446.5810082, 421.4604733, 383.6903818, 341.9507497, 313.7320919, 316.9996068, 355.1755645, 410.0891265, 454.8557304, 474.0355575, 472.3393044, -2992.0000000, 462.6829974, 447.9185496, 422.0374223, 383.4885834, 341.1465185, 312.5540173, 315.6087549, 353.7505097, 409.0034387, 454.5801101, 474.7893437, 473.9389413, -2991.0000000, 464.7088233, 449.8907531, 423.5215265, 384.2235385, 341.1095386, 311.8695796, 314.3845385, 352.0809670, 407.1913295, 453.1983803, 474.3643329, 474.6245256, -2990.0000000, 466.2947323, 451.9536371, 425.5417140, 385.7472192, 341.9002568, 311.9029145, 313.6828342, 350.6262541, 405.1263377, 451.0359032, 472.8003230, 474.1314338, -2989.0000000, 466.9589984, 453.5452370, 427.5980336, 387.7236854, 343.3814768, 312.7012801, 313.7196342, 349.7699892, 403.3183592, 448.5967066, 470.4219456, 472.4971200, -2988.0000000, 466.4526069, 454.2160345, 429.1761900, 389.7080482, 345.2596489, 314.1439156, 314.5486988, 349.7585154, 402.2077815, 446.4326816, 467.7308060, 470.0184621, -2987.0000000, 464.7904178, 453.7110937, 429.8446188, 391.2286625, 347.1400285, 315.9721522, 316.0705420, 350.6862449, 402.1201618, 445.0719232, 465.3314301, 467.2092131, -2986.0000000, 462.2608021, 452.0263747, 429.3286050, 391.8465412, 348.5539889, 317.7838820, 317.9985225, 352.4344374, 403.1779651, 444.9098455, 463.8241506, 464.7301892, -2985.0000000, 459.4278141, 449.4969847, 427.6641995, 391.3260388, 349.0990111, 319.1209584, 319.8918638, 354.6489226, 405.2193810, 446.0718817, 463.6272993, 463.2011538, -2984.0000000, 456.9733468, 446.7132380, 425.2126650, 389.7325550, 348.5741098, 319.5985944, 321.2539943, 356.7916214, 407.7889996, 448.3403421, 464.8516761, 463.0437309, -2983.0000000, 455.5371548, 444.3956879, 422.6108111, 387.4771726, 347.1014962, 319.0657632, 321.6980368, 358.2790155, 410.2103670, 451.1318467, 467.1814720, 464.2850367, -2982.0000000, 455.4697129, 443.1354941, 420.5526195, 385.1923981, 345.1213864, 317.7095383, 321.1362185, 358.7270011, 411.8343246, 453.6845972, 469.9576424, 466.5269513, -2981.0000000, 456.6954828, 443.1696006, 419.5142152, 383.4659150, 343.1939343, 315.9617747, 319.8078499, 358.1077716, 412.3034982, 455.3630571, 472.4456718, 469.1313882, -2980.0000000, 458.7995805, 444.3646989, 419.6412551, 382.6564097, 341.7860804, 314.3008480, 318.1316500, 356.6905736, 411.6119288, 455.8218232, 474.0446350, 471.4168021, -2979.0000000, 461.1805597, 446.3109923, 420.7743293, 382.8507443, 341.1738092, 313.1208231, 316.5662027, 354.9309103, 410.0777206, 455.0923544, 474.4599921, 472.8592958, -2978.0000000, 463.2341447, 448.4625180, 422.5316027, 383.8829999, 341.3994653, 312.6335707, 315.4623312, 353.2867623, 408.1687317, 453.4854468, 473.7164819, 473.1936013, -2977.0000000, 464.4984438, 450.2900472, 424.4444613, 385.4370053, 342.3336069, 312.8876017, 315.0357951, 352.1399728, 406.3846076, 451.4772536, 472.0963094, 472.4178670, -2976.0000000, 464.7057123, 451.3506983, 426.0217654, 387.0935467, 343.7019964, 313.7747161, 315.3504682, 351.7484378, 405.1767885, 449.6215412, 470.0870701, 470.8046417, -2975.0000000, 463.8502042, 451.3830680, 426.8387543, 388.3911346, 345.1136764, 315.0304592, 316.2935374, 352.1897874, 404.8549369, 448.4315307, 468.2767232, 468.8518215, -2974.0000000, 462.2159008, 450.4018203, 426.6638435, 388.9452114, 346.1473084, 316.2816122, 317.5868415, 353.3353911, 405.5172673, 448.2679601, 467.2209606, 467.1665833, -2973.0000000, 460.3124518, 448.7032286, 425.5243324, 388.5415418, 346.4371559, 317.1046718, 318.8111015, 354.8348169, 406.9901642, 449.2379538, 467.3204617, 466.3520444, -2972.0000000, 458.8063299, 446.8699075, 423.7921453, 387.2794505, 345.8318043, 317.1645587, 319.5042625, 356.1547772, 408.7841276, 451.0575969, 468.6061335, 466.7513776, -2971.0000000, 458.2675453, 445.5690448, 422.0792170, 385.5840227, 344.5054218, 316.3874660, 319.3646440, 356.7834717, 410.2553486, 453.1248100, 470.7035978, 468.3130307, -2970.0000000, 458.9607514, 445.3067540, 421.0071013, 384.0443178, 342.8960609, 315.0010630, 318.3810482, 356.4332069, 410.8388017, 454.7165314, 472.9402380, 470.5900900, -2969.0000000, 460.7448775, 446.2485406, 420.9826599, 383.1915269, 341.5324739, 313.4403337, 316.8356716, 355.1562659, 410.2697293, 455.2590468, 474.5853594, 472.8974461, -2968.0000000, 463.1305180, 448.1788454, 422.0739454, 383.3199703, 340.8385007, 312.1705207, 315.1754150, 353.3038667, 408.6720265, 454.5423789, 475.1269411, 474.5752983, -2967.0000000, 465.4825821, 450.6209145, 424.0402972, 384.4337553, 341.0145882, 311.5247680, 313.8219058, 351.3351753, 406.4228359, 452.6988675, 474.3690787, 475.1583981, -2966.0000000, 467.2083405, 453.0072769, 426.4636202, 386.3282883, 342.0671254, 311.6837279, 313.1041335, 349.7087597, 404.0320783, 450.1245397, 472.4328555, 474.4455672, -2965.0000000, 467.8557768, 454.7709235, 428.8126255, 388.6223068, 343.8106126, 312.6499857, 313.2009416, 348.7859065, 402.0159533, 447.3672662, 469.7145047, 472.5491729, -2964.0000000, 467.2318114, 455.4879462, 430.5690035, 390.8464311, 345.9171960, 314.2656285, 314.1291703, 348.7813892, 400.8003200, 444.9950200, 466.7644270, 469.8335222, -2963.0000000, 465.4157953, 454.9466093, 431.3146907, 392.5159400, 347.9617257, 316.2321505, 315.7436374, 349.7410068, 400.6692916, 443.5185787, 464.2065285, 466.8663030, -2962.0000000, 462.7693386, 453.2143176, 430.8264801, 393.2153886, 349.4735260, 318.1261933, 317.7209745, 351.4952995, 401.6872633, 443.2846064, 462.6214236, 464.3276880, -2961.0000000, 459.9104456, 450.6995873, 429.2126785, 392.7624084, 350.0763173, 319.4893356, 319.5948862, 353.6373320, 403.6141715, 444.3299778, 462.3534799, 462.7990234, -2960.0000000, 457.5275180, 448.0415770, 426.9114854, 391.3062352, 349.6413670, 319.9877021, 320.8939875, 355.6210160, 405.9447598, 446.3487666, 463.4081187, 462.6071260, -2959.0000000, 456.1976381, 445.9420179, 424.5850002, 389.3160998, 348.3647547, 319.5456016, 321.2987755, 356.9097487, 408.0086812, 448.7081677, 465.3720661, 463.6592103, -2958.0000000, 456.1569186, 444.9056671, 422.8830030, 387.4256281, 346.7264408, 318.4181989, 320.8106867, 357.2205217, 409.2455290, 450.6888052, 467.5638230, 465.4789027, -2957.0000000, 457.2199815, 445.0543605, 422.1847655, 386.1600113, 345.2641392, 317.0536258, 319.7234708, 356.6186929, 409.4159059, 451.7604730, 469.3022871, 467.4154254, -2956.0000000, 458.9040728, 446.1545288, 422.5290888, 385.7864411, 344.3814477, 315.8998714, 318.4630996, 355.4290708, 408.6224988, 451.7159400, 470.1071807, 468.8531454, -2955.0000000, 460.6095451, 447.7459631, 423.6766535, 386.3058547, 344.2786518, 315.2930863, 317.4530868, 354.1071396, 407.2357267, 450.6914787, 469.8091862, 469.3688557, -2954.0000000, 461.7796386, 449.2726073, 425.1923976, 387.4789109, 344.9242810, 315.3810564, 316.9937688, 353.0827103, 405.7376637, 449.0709603, 468.5534581, 468.8262919, -2953.0000000, 462.0496628, 450.2476588, 426.5951013, 388.9396584, 346.1241973, 316.1469003, 317.2392753, 352.6845418, 404.5997350, 447.3514579, 466.7012109, 467.3393073, -2952.0000000, 461.2649659, 450.3025879, 427.4121056, 390.2388228, 347.5471262, 317.4167979, 318.1865870, 353.1059498, 404.2235355, 446.0751583, 464.7867159, 465.2830513, -2951.0000000, 459.5508273, 449.2947418, 427.2898879, 390.9270365, 348.7679523, 318.8665080, 319.6507035, 354.3464894, 404.8446179, 445.7044036, 463.3941041, 463.2121181, -2950.0000000, 457.3003294, 447.3693011, 426.1058833, 390.6753773, 349.3626919, 320.0765477, 321.2788925, 356.1844021, 406.4612285, 446.5125764, 463.0293260, 461.7435976, -2949.0000000, 455.1004604, 444.9527512, 424.0328166, 389.3853910, 349.0245243, 320.6242255, 322.6051002, 358.1839865, 408.7874665, 448.4862631, 463.9892296, 461.4188535, -2948.0000000, 453.6179501, 442.6967850, 421.5637719, 387.2902910, 347.7071281, 320.2284224, 323.1658968, 359.7567638, 411.2329182, 451.2137099, 466.1736542, 462.4700219, -2947.0000000, 453.3544884, 441.2631746, 419.3745164, 384.9295929, 345.7128277, 318.9233284, 322.7276964, 360.4067901, 413.1115221, 454.0011425, 469.0861153, 464.7136421, -2946.0000000, 454.4540599, 441.0726505, 418.0579089, 382.9257416, 343.5593241, 317.0361943, 321.3753886, 359.9178371, 413.8855783, 456.1016044, 471.9869917, 467.6064558, -2945.0000000, 456.6646053, 442.1840427, 417.9419706, 381.7781119, 341.7949157, 315.0626225, 319.4778964, 358.4371797, 413.3690329, 456.9835397, 474.1463658, 470.4275932, -2944.0000000, 459.4308279, 444.2954323, 419.0055591, 381.7109751, 340.8084111, 313.4718155, 317.5212584, 356.3822249, 411.7613681, 456.4996024, 475.0887136, 472.5251856, -2943.0000000, 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474.6057998, 1836.0000000, 475.8523639, 467.6579114, 441.9048027, 397.4504655, 347.5170220, 313.1031735, 310.5442413, 340.6179264, 388.5272380, 434.2725685, 463.8701829, 476.0884855, 1837.0000000, 477.9986649, 469.9344534, 443.7555497, 398.5022340, 347.7042200, 312.5575432, 309.3886181, 338.9468235, 386.6054632, 432.6348166, 463.1022376, 476.4949260, 1838.0000000, 479.4922848, 472.1178064, 446.0353897, 400.3126204, 348.7417196, 312.7881761, 308.8458036, 337.6174615, 384.5920867, 430.3671523, 461.2580182, 475.6582084, 1839.0000000, 479.9035019, 473.6424260, 448.2022826, 402.4898163, 350.4363871, 313.7885746, 309.0783692, 336.9598794, 382.9583800, 427.9795055, 458.7242206, 473.7061127, 1840.0000000, 479.0591495, 474.0930553, 449.7350246, 404.5593996, 352.4573119, 315.3964412, 310.0920336, 337.1625416, 382.0837994, 425.9884820, 456.0205686, 471.0011043, 1841.0000000, 477.0540869, 473.2742112, 450.2257580, 406.0459373, 354.3919583, 317.3265556, 311.7503604, 338.2672794, 382.2263338, 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345.4608372, 391.9467220, 434.7179621, 460.6679864, 469.9750284, 1848.0000000, 470.6311842, 463.2303941, 439.3605926, 397.1629649, 349.1044795, 315.9047144, 314.0340530, 344.2285480, 391.2584399, 434.9170365, 461.8195798, 471.7943804, 1849.0000000, 472.6583921, 464.9933144, 440.4814889, 397.4900958, 348.7375635, 315.0463619, 312.8373728, 342.8370638, 389.9598018, 434.1310867, 461.8650970, 472.6953899, 1850.0000000, 474.1765790, 466.7467828, 442.0411507, 398.5281524, 349.1438762, 314.8768410, 312.1623132, 341.6999425, 388.5119178, 432.7287414, 460.9435073, 472.5361499, 1851.0000000, 474.8098630, 467.9894115, 443.5477278, 399.9089150, 350.1310958, 315.3783712, 312.1550445, 341.1266397, 387.3563497, 431.1786637, 459.3998455, 471.4237318, 1852.0000000, 474.3992683, 468.3494523, 444.5314027, 401.1958232, 351.3856362, 316.3909884, 312.8166762, 341.2984094, 386.8622932, 429.9791979, 457.7279833, 469.7007190, 1853.0000000, 473.0416701, 467.6599615, 444.6253003, 401.9443326, 352.5029182, 317.6159043, 313.9839318, 342.2249334, 387.2554604, 429.5662008, 456.4822123, 467.8946696, 1854.0000000, 471.1028261, 466.0372556, 443.6832445, 401.8193080, 353.0749063, 318.6644165, 315.3405226, 343.7180758, 388.5522194, 430.2098388, 456.1523957, 466.6018765, 1855.0000000, 469.1422126, 463.8697539, 441.8327006, 400.6851125, 352.7807985, 319.1247895, 316.4509620, 345.3861733, 390.5106285, 431.9280540, 457.0560334, 466.3813839, 1856.0000000, 467.8398991, 461.8082063, 439.5441547, 398.7383865, 351.5437299, 318.7050226, 316.8644613, 346.6772310, 392.5894577, 434.3521433, 459.1268945, 467.5006108, 1857.0000000, 467.7373686, 460.5488945, 437.5068478, 396.5041530, 349.6357268, 317.4123162, 316.3351774, 347.1042206, 394.1287413, 436.8133358, 461.8843623, 469.7945479, 1858.0000000, 469.0127516, 460.5613778, 436.3611379, 394.6322374, 347.5786193, 315.5670278, 314.9431645, 346.4590834, 394.6127756, 438.5823170, 464.5840253, 472.7013353, 1859.0000000, 471.4028861, 461.9138807, 436.4605227, 393.6463606, 345.9317798, 313.6652897, 313.0560090, 344.8953695, 393.8769977, 439.1499648, 466.4931379, 475.4685698, 1860.0000000, 474.3119337, 464.2760412, 437.7768112, 393.7773894, 345.0909636, 312.1789719, 311.1613202, 342.8384410, 392.1467758, 438.4096608, 467.1637152, 477.4357009, 1861.0000000, 477.0464360, 467.0791136, 439.9712513, 394.9455360, 345.1950212, 311.4044943, 309.6708085, 340.7690825, 389.8619766, 436.5918341, 466.4978480, 478.1969256, 1862.0000000, 479.0197703, 469.7164257, 442.5618973, 396.8772802, 346.1864551, 311.4673993, 308.8697795, 339.1187611, 387.5358339, 434.1400319, 464.6963473, 477.6275427, 1863.0000000, 479.8251368, 471.6271790, 444.9932349, 399.1513530, 347.8329891, 312.3204571, 308.8861627, 338.1995680, 385.6493585, 431.6027614, 462.2003028, 475.9085293, 1864.0000000, 479.3319400, 472.4243241, 446.7557519, 401.2872312, 349.7822771, 313.7702418, 309.6915424, 338.1711677, 384.5704068, 429.5113736, 459.5664267, 473.4494616, 1865.0000000, 477.6800498, 471.9489946, 447.4648654, 402.8148453, 351.6081696, 315.5020646, 311.1088229, 339.0304753, 384.5206377, 428.3185114, 457.3917842, 470.8316964, 1866.0000000, 475.2739853, 470.3213012, 446.9437860, 403.3528119, 352.8603792, 317.0963774, 312.8006046, 340.5751193, 385.5113821, 428.3100391, 456.2140295, 468.7291420, 1867.0000000, 472.7600526, 467.9984945, 445.3528346, 402.7639518, 353.1975947, 318.1154141, 314.3032659, 342.3800286, 387.2590786, 429.4596989, 456.3198253, 467.6965532, 1868.0000000, 470.8398957, 465.6649044, 443.1901299, 401.2578922, 352.5458187, 318.2697307, 315.1742256, 343.9057951, 389.2321879, 431.3985215, 457.6355601, 467.9987039, 1869.0000000, 470.0659660, 464.0378903, 441.1624110, 399.3624318, 351.1660492, 317.5507640, 315.1566192, 344.6645943, 390.7756039, 433.4560913, 459.6641100, 469.4466852, 1870.0000000, 470.5996081, 463.5859135, 439.9216254, 397.7411726, 349.5881617, 316.2819639, 314.3364329, 344.4656649, 391.4048476, 434.9336040, 461.6715523, 471.4608265, 1871.0000000, 472.1396491, 464.3339920, 439.7851001, 396.8916493, 348.3520262, 314.9446900, 313.0749887, 343.4767117, 391.0017170, 435.3972785, 463.0025957, 473.3382629, 1872.0000000, 474.1014018, 465.9322329, 440.6886316, 397.0036023, 347.8113330, 313.9674071, 311.8151648, 342.0850301, 389.7807406, 434.7731310, 463.2761632, 474.4915050, 1873.0000000, 475.8449255, 467.8374445, 442.2972474, 397.9897399, 348.0926182, 313.6299187, 310.9464980, 340.7462239, 388.1656432, 433.3044572, 462.4429666, 474.5786383, 1874.0000000, 476.8330145, 469.4589529, 444.1115035, 399.5395391, 349.0962782, 314.0166691, 310.7125274, 339.8480778, 386.6339833, 431.4304537, 460.7506790, 473.5675910, 1875.0000000, 476.7670529, 470.3250044, 445.6255239, 401.2430155, 350.5769833, 315.0549433, 311.2063479, 339.6556379, 385.6084166, 429.6458278, 458.6172666, 471.6622347, 1876.0000000, 475.5754811, 470.1158126, 446.3771825, 402.6365449, 352.1761122, 316.5335526, 312.3765126, 340.3009895, 385.4253764, 428.4522423, 456.5887828, 469.2981622, 1877.0000000, 473.4617859, 468.7518662, 446.0450763, 403.2765324, 353.4586318, 318.1070289, 314.0046452, 341.7351283, 386.2575580, 428.2560955, 455.2323943, 467.0637729, 1878.0000000, 470.8866615, 466.4500979, 444.5576626, 402.8584403, 354.0057843, 319.3474527, 315.7171094, 343.7001324, 388.0489967, 429.2700071, 455.0166634, 465.5847693, 1879.0000000, 468.4892073, 463.7111133, 442.1555649, 401.3292318, 353.5346536, 319.8396033, 317.0412952, 345.7389925, 390.4713036, 431.4206576, 456.1852577, 465.3847486, 1880.0000000, 466.9655303, 461.2523588, 439.4080889, 398.9855428, 352.0429422, 319.3296126, 317.5266516, 347.2614485, 392.9097197, 434.2411964, 458.5685599, 466.6458935, 1881.0000000, 466.8102728, 459.7751369, 437.0600050, 396.4403709, 349.8969184, 317.9051996, 316.9837457, 347.8042918, 394.6862967, 437.0018743, 461.5920235, 469.0945426, 1882.0000000, 468.0992386, 459.6735519, 435.7190942, 394.3561443, 347.6648587, 315.9509768, 315.5623128, 347.2232333, 395.3288779, 438.9822647, 464.4811198, 472.1047052, 1883.0000000, 470.4837981, 460.9260686, 435.6649433, 393.2139598, 345.8983885, 313.9850894, 313.6756303, 345.7359411, 394.7444165, 439.7367567, 466.5415895, 474.9281309, 1884.0000000, 473.3368645, 463.1435851, 436.7980308, 393.1788512, 344.9455983, 312.4538813, 311.8080167, 343.7874508, 393.2004786, 439.2157419, 467.3835413, 476.9496637, 1885.0000000, 475.9870678, 465.7509462, 438.7493471, 394.1286414, 344.9032787, 311.6198199, 310.3490036, 341.8514993, 391.1500999, 437.6853449, 466.9638743, 477.8238615, 1886.0000000, 477.8982194, 468.1705117, 441.0393181, 395.7697941, 345.6816478, 311.5728050, 309.5492521, 340.3292804, 389.0862192, 435.5868568, 465.5032627, 477.4662961, 1887.0000000, 478.7139833, 469.8869862, 443.1398901, 397.6859262, 347.0358766, 312.2436492, 309.5108525, 339.5071790, 387.4690027, 433.4594397, 463.4515965, 476.0879509, 1888.0000000, 478.3511562, 470.5658747, 444.5823079, 399.4144984, 348.6090122, 313.4183542, 310.1748925, 339.5086875, 386.6309454, 431.8067698, 461.3544728, 474.1105516, 1889.0000000, 476.9864325, 470.1017001, 445.0351960, 400.5213065, 349.9859868, 314.7710494, 311.3365112, 340.2924566, 386.7521637, 431.0477569, 459.7915103, 472.1220119, 1890.0000000, 475.0592740, 468.6756328, 444.3948596, 400.6880786, 350.7525832, 315.8864817, 312.6330657, 341.6049989, 387.7765967, 431.3992954, 459.2461575, 470.7677850, 1891.0000000, 473.2216509, 466.7888922, 442.8970414, 399.8633586, 350.6384739, 316.3672584, 313.6041232, 342.9839139, 389.3462472, 432.7405150, 459.9140826, 470.5351448, 1892.0000000, 472.1439847, 465.1400067, 441.1012921, 398.3520470, 349.6737597, 316.0133428, 313.8648690, 343.8998684, 390.8795310, 434.5983227, 461.5886519, 471.5560955, 1893.0000000, 472.2683760, 464.3760187, 439.6983273, 396.7229960, 348.2042250, 314.9232974, 313.2673619, 343.9511334, 391.7545086, 436.2643273, 463.6742726, 473.5104008, 1894.0000000, 473.6182220, 464.8428415, 439.2538749, 395.6057488, 346.7815986, 313.4912357, 312.0058685, 343.0748380, 391.5980600, 437.0934283, 465.4139799, 475.7317714, 1895.0000000, 475.7681967, 466.4281288, 439.9575038, 395.4009004, 345.8937154, 312.1963302, 310.4917091, 341.5400267, 390.4252416, 436.7725362, 466.2190840, 477.5175769, 1896.0000000, 478.0803859, 468.6956157, 441.6453246, 396.2038866, 345.8202741, 311.4234106, 309.1631004, 339.7793789, 388.5477688, 435.3501734, 465.8110707, 478.3324097, 1897.0000000, 479.9135335, 471.0594307, 443.9153066, 397.8517025, 346.6158534, 311.3921640, 308.3693759, 338.2421366, 386.4315900, 433.1570970, 464.2427558, 477.9131185, 1898.0000000, 480.7668544, 472.9256278, 446.2381899, 399.9914959, 348.1349772, 312.1426119, 308.3153100, 337.2927823, 384.5642296, 430.6866617, 461.8465497, 476.3101426, 1899.0000000, 480.3937302, 473.8352998, 448.0895427, 402.1773277, 350.0902306, 313.5586694, 309.0509987, 337.1590482, 383.3509698, 428.4539917, 459.1005674, 473.8059108, 1900.0000000, 478.7911352, 473.5076936, 449.0139522, 403.9293719, 352.0956894, 315.3973042, 310.4898724, 337.9373217, 383.1028058, 426.9631163, 456.5918251, 470.9078227, 1901.0000000, 476.2405841, 471.9220082, 448.7147791, 404.7978578, 353.6910872, 317.2778099, 312.3708761, 339.5288115, 383.9429156, 426.5888023, 454.8932334, 468.2531425, 1902.0000000, 473.2817434, 469.3781035, 447.1828328, 404.5089493, 354.4603554, 318.7550324, 314.2869700, 341.6265082, 385.7541871, 427.4852309, 454.4409693, 466.4780824, 1903.0000000, 470.6082504, 466.4598451, 444.7454940, 403.0777828, 354.1608206, 319.4272478, 315.7538507, 343.7327432, 388.1359841, 429.4845948, 455.3860985, 466.0443637, 1904.0000000, 468.9015111, 463.9190799, 442.0413312, 400.8821810, 352.8646556, 319.0999535, 316.3622223, 345.2730164, 390.4501076, 432.0503936, 457.4563911, 467.0259202, 1905.0000000, 468.5719359, 462.4147879, 439.8191885, 398.5755401, 350.9991142, 317.9313108, 315.9974550, 345.8546373, 392.0642092, 434.4481546, 460.0121246, 469.0397280, 1906.0000000, 469.5695337, 462.2277827, 438.6071581, 396.7828176, 349.1340102, 316.3402579, 314.8743037, 345.4280961, 392.6162446, 436.0496417, 462.3183280, 471.4349310, 1907.0000000, 471.4694150, 463.2334485, 438.5814265, 395.9013511, 347.7659363, 314.8200961, 313.4141995, 344.2608773, 392.1085120, 436.5287067, 463.7836241, 473.5137141, 1908.0000000, 473.6337590, 464.9832234, 439.5573833, 396.0086158, 347.1676679, 313.7594667, 312.0649557, 342.7940504, 390.8553491, 435.9368651, 464.1443642, 474.7697766, 1909.0000000, 475.4525951, 466.9091719, 441.1303664, 396.9241861, 347.3724001, 313.3601487, 311.1615052, 341.4618587, 389.3035841, 434.5868710, 463.4524224, 474.9688206, 1910.0000000, 476.4788197, 468.4769041, 442.8161421, 398.3165156, 348.2370570, 313.6543707, 310.8955960, 340.6089278, 387.9082379, 432.9252516, 461.9917739, 474.1323558, 1911.0000000, 476.4689262, 469.2554873, 444.1242167, 399.7637945, 349.4846292, 314.5280206, 311.3173005, 340.4645060, 387.0759425, 431.4629727, 460.2329590, 472.5451187, 1912.0000000, 475.4438649, 469.0086250, 444.6466493, 400.8164125, 350.7337394, 315.7212921, 312.3094485, 341.0854994, 387.0718485, 430.6538345, 458.7131810, 470.6777260, 1913.0000000, 473.6806397, 467.7535595, 444.1570259, 401.0989834, 351.5786504, 316.8804863, 313.6141427, 342.3589979, 387.9945300, 430.8403933, 457.9648892, 469.1230173, 1914.0000000, 471.6849402, 465.7854131, 442.6768720, 400.3889489, 351.6500880, 317.5859693, 314.8236103, 343.9526769, 389.6852130, 432.1308367, 458.3806603, 468.4796002, 1915.0000000, 470.1263051, 463.6915122, 440.5747894, 398.7725758, 350.7821662, 317.4942325, 315.4786037, 345.3531335, 391.6880888, 434.2764675, 460.0245457, 469.1271431, 1916.0000000, 469.6168107, 462.1798522, 438.4889931, 396.6778731, 349.1336983, 316.5088451, 315.2552939, 346.0358827, 393.3618907, 436.6878401, 462.5403968, 471.0441407, 1917.0000000, 470.4687863, 461.8179751, 437.1005681, 394.7332381, 347.1561649, 314.8508494, 314.1218186, 345.6863446, 394.1174115, 438.6214981, 465.2387278, 473.7796751, 1918.0000000, 472.5614874, 462.8197056, 436.8828520, 393.5342975, 345.4262086, 312.9849286, 312.3731335, 344.3524153, 393.6716087, 439.4713331, 467.3403125, 476.5946765, 1919.0000000, 475.3637939, 464.9528200, 437.9140370, 393.4014056, 344.3960936, 311.4013655, 310.4756200, 342.3961587, 392.1498078, 439.0177683, 468.3068761, 478.7874217, 1920.0000000, 478.1975317, 467.7109511, 439.9455399, 394.3490121, 344.2843788, 310.4528295, 308.8691024, 340.2892846, 389.9359034, 437.3930384, 467.9259856, 479.8551502, 1921.0000000, 480.4193367, 470.4780562, 442.5251387, 396.1559186, 345.0918367, 310.3185500, 307.8825181, 338.4894048, 387.5390981, 434.9970692, 466.3227385, 479.5893447, 1922.0000000, 481.5573745, 472.6629893, 445.1047974, 398.4356358, 346.6330934, 310.9996597, 307.6887089, 337.3446142, 385.4563626, 432.3608689, 463.8830338, 478.0903065, 1923.0000000, 481.3989694, 473.8203108, 447.1536903, 400.7202903, 348.5891208, 312.3444663, 308.3032908, 337.0565517, 384.0863341, 430.0215836, 461.1321522, 475.7000783, 1924.0000000, 479.9969722, 473.7115163, 448.2391345, 402.5318600, 350.5578129, 314.0813362, 309.6030370, 337.6822513, 383.7087155, 428.4730468, 458.6752605, 472.9651485, 1925.0000000, 477.6821651, 472.3634958, 448.1010132, 403.4390754, 352.0776002, 315.8098454, 311.2911502, 339.0749119, 384.3969845, 428.0558064, 457.0801108, 470.5503284, 1926.0000000, 475.0466627, 470.1428110, 446.7981052, 403.2239872, 352.7663419, 317.0930974, 312.9419167, 340.8810247, 385.9652056, 428.8504398, 456.7258111, 469.0656659, 1927.0000000, 472.7929824, 467.6739815, 444.7213042, 401.9735430, 352.4454841, 317.5736661, 314.0871360, 342.5822708, 387.9517822, 430.5977534, 457.6670545, 468.8954845, 1928.0000000, 471.5590573, 465.7051852, 442.5448126, 400.1323274, 351.2704776, 317.1414862, 314.3894722, 343.6466231, 389.7104435, 432.6961531, 459.5243691, 469.9935631, 1929.0000000, 471.6465694, 464.8150810, 440.9767962, 398.3571666, 349.7118716, 316.0279344, 313.8265604, 343.7760771, 390.6764692, 434.4205534, 461.6024594, 471.8746168, 1930.0000000, 472.8836749, 465.1666170, 440.4513446, 397.2171891, 348.3275257, 314.6833395, 312.6870239, 343.0321471, 390.6125045, 435.2390426, 463.1996374, 473.8528705, 1931.0000000, 474.7595678, 466.5224920, 441.0291783, 397.0114802, 347.5458509, 313.5695245, 311.4035420, 341.7446402, 389.6308177, 434.9520045, 463.8210189, 475.2682506, 1932.0000000, 476.6149857, 468.3700664, 442.4409190, 397.7317544, 347.5663301, 313.0220964, 310.3985008, 340.3705454, 388.1163663, 433.7272658, 463.3270411, 475.7025628, 1933.0000000, 477.8714043, 470.1196973, 444.2244169, 399.1251955, 348.3507213, 313.1798898, 309.9569244, 339.3180659, 386.5331482, 431.9483151, 461.8760632, 475.0251452, 1934.0000000, 478.1489468, 471.2544229, 445.8700882, 400.8107916, 349.6996725, 314.0209551, 310.2214517, 338.8947234, 385.3277943, 430.1017177, 459.8406478, 473.3675312, 1935.0000000, 477.2984072, 471.3950769, 446.8902879, 402.3339451, 351.2869683, 315.3774481, 311.1877751, 339.2784042, 384.8712084, 428.6986542, 457.7406938, 471.1043576, 1936.0000000, 475.4414297, 470.3823660, 446.9091833, 403.2334990, 352.6924635, 316.9394494, 312.6848871, 340.4723900, 385.3843683, 428.1755381, 456.1414331, 468.7834752, 1937.0000000, 472.9643673, 468.3425109, 445.7753801, 403.1592575, 353.4926117, 318.3085368, 314.3942928, 342.2932428, 386.8938179, 428.8179009, 455.5549141, 467.0291302, 1938.0000000, 470.4544541, 465.6812771, 443.6149114, 401.9560407, 353.3386023, 319.0465499, 315.8611837, 344.3397660, 389.1587714, 430.6541943, 456.3173672, 466.4277108, 1939.0000000, 468.6247518, 463.0799653, 440.9154969, 399.8180694, 352.1350542, 318.8363123, 316.6115723, 346.0459700, 391.6379794, 433.3301908, 458.3878463, 467.2776799, 1940.0000000, 468.0508332, 461.2672316, 438.3876366, 397.2726019, 350.1362889, 317.6528726, 316.3606511, 346.8884060, 393.6497922, 436.1788961, 461.3084022, 469.4516202, 1941.0000000, 468.9568355, 460.7607673, 436.7136757, 394.9957222, 347.8687525, 315.7989839, 315.1513762, 346.6090238, 394.6304348, 438.4414908, 464.3330603, 472.4099008, 1942.0000000, 471.1176702, 461.6752023, 436.2948720, 393.5518562, 345.9175910, 313.7770639, 313.3353955, 345.3226746, 394.3614942, 439.5587710, 466.7003762, 475.3969300, 1943.0000000, 473.9539957, 463.7090035, 437.1368655, 393.2042943, 344.7039528, 312.0729053, 311.3986564, 343.4325342, 393.0252909, 439.3734150, 467.9244864, 477.7423484, 1944.0000000, 476.7887686, 466.3262463, 438.9396865, 393.9098787, 344.3965265, 311.0040242, 309.7624744, 341.4099413, 391.0259556, 438.0576024, 467.8480045, 478.9992839, 1945.0000000, 479.0225157, 468.9317066, 441.2465834, 395.4239903, 344.9648868, 310.7194273, 308.7306520, 339.6955045, 388.8676928, 436.0233347, 466.6256180, 479.0030134, 1946.0000000, 480.2299943, 470.9702930, 443.5242165, 397.3523819, 346.2008507, 311.1909648, 308.4454362, 338.6088775, 387.0253387, 433.7917117, 464.6515453, 477.8827376, 1947.0000000, 480.2435857, 472.0450463, 445.2779134, 399.2420997, 347.7806804, 312.2495761, 308.8984050, 338.3251972, 385.8745187, 431.8844821, 462.4502630, 475.9995277, 1948.0000000, 479.1553130, 471.9678178, 446.1202365, 400.6405437, 349.3037519, 313.6056461, 309.9348759, 338.8620678, 385.6534163, 430.7620953, 460.6085256, 473.9038261, 1949.0000000, 477.3265823, 470.8198337, 445.8545406, 401.1685946, 350.3355344, 314.8586410, 311.2344587, 340.0305768, 386.3843085, 430.7169789, 459.6617485, 472.2518424, 1950.0000000, 475.3706930, 469.0204558, 444.6148158, 400.6847874, 350.5496889, 315.5951861, 312.3595286, 341.4290756, 387.8028806, 431.7381943, 459.9059948, 471.5960515, 1951.0000000, 473.9694183, 467.2181504, 442.8596944, 399.3708043, 349.8631154, 315.5324199, 312.8821123, 342.5340507, 389.3903750, 433.4676516, 461.2801152, 472.2137787, 1952.0000000, 473.6811179, 466.1235489, 441.2781240, 397.7354781, 348.5272196, 314.6652094, 312.5587051, 342.8731640, 390.5008932, 435.2346030, 463.2832781, 473.9155530, 1953.0000000, 474.6685261, 466.2019171, 440.5095807, 396.4238009, 347.0560946, 313.3116834, 311.4822403, 342.2713985, 390.6643594, 436.3445729, 465.1758894, 476.1153356, 1954.0000000, 476.6300385, 467.4816699, 440.8715249, 395.9263648, 345.9784631, 311.9439689, 310.0124993, 340.9048162, 389.7757109, 436.3693883, 466.2948403, 478.0959018, 1955.0000000, 478.9714229, 469.6134049, 442.3060230, 396.4374707, 345.6473969, 310.9867926, 308.5907395, 339.1660248, 388.0609574, 435.2413114, 466.2474532, 479.2424810, 1956.0000000, 481.0239656, 472.0353295, 444.4727805, 397.8719762, 346.1917020, 310.7203530, 307.6081244, 337.5192547, 385.9627633, 433.2265820, 464.9971345, 479.2059759, 1957.0000000, 482.2292087, 474.1360000, 446.8620144, 399.9190841, 347.5149408, 311.2304473, 307.3063242, 336.3501232, 383.9619084, 430.7736024, 462.7969455, 477.9440807, 1958.0000000, 482.2613608, 475.4121631, 448.9473564, 402.1649178, 349.3791891, 312.4551166, 307.7886761, 335.9339700, 382.4948961, 428.3980270, 460.0861901, 475.6664940, 1959.0000000, 481.0307837, 475.5090953, 450.2330415, 404.1270860, 351.4229818, 314.1888891, 309.0110517, 336.4093631, 381.9063843, 426.6167338, 457.4318450, 472.8249627, 1960.0000000, 478.7382458, 474.3229012, 450.3634130, 405.3361324, 353.2024062, 316.0910761, 310.7665635, 337.7389853, 382.3792763, 425.8479429, 455.4181598, 470.0256298, 1961.0000000, 475.8502762, 472.0538500, 449.2326071, 405.4533496, 354.2801053, 317.7339409, 312.6953004, 339.6855194, 383.8785361, 426.3235523, 454.5354551, 467.9178413, 1962.0000000, 473.0223893, 469.1978351, 447.0506801, 404.3820488, 354.3363821, 318.6841601, 314.3257935, 341.8071456, 386.0972639, 427.9913857, 455.0496854, 467.0540466, 1963.0000000, 470.9818468, 466.4936508, 444.3855001, 402.3944430, 353.3362918, 318.6637957, 315.2017256, 343.5279623, 388.4460398, 430.4095605, 456.8099626, 467.6315797, 1964.0000000, 470.2403302, 464.6566762, 441.9817699, 400.0818992, 351.6087580, 317.7221584, 315.1087933, 344.3838309, 390.2721169, 432.8870718, 459.2791320, 469.4092689, 1965.0000000, 470.9043818, 464.1110577, 440.4685767, 398.1088919, 349.7016738, 316.2085257, 314.1591502, 344.2054167, 391.1029503, 434.7259827, 461.7123085, 471.7866366, 1966.0000000, 472.6466800, 464.8566220, 440.1460290, 396.9683779, 348.1624038, 314.6193874, 312.7321402, 343.1765399, 390.8299494, 435.4919349, 463.4440520, 474.0437498, 1967.0000000, 474.8608200, 466.5198760, 440.9288378, 396.8367070, 347.3416553, 313.3900839, 311.2860572, 341.7065259, 389.6918487, 435.1318453, 464.1075334, 475.6000546, 1968.0000000, 476.9060243, 468.5475370, 442.4629339, 397.6018932, 347.3404073, 312.7775877, 310.1913492, 340.2359198, 388.1016611, 433.8842918, 463.6576910, 476.1292759, 1969.0000000, 478.2722617, 470.3835603, 444.2834188, 398.9806251, 348.0762298, 312.8747153, 309.6935926, 339.1486044, 386.5259572, 432.1681606, 462.3131925, 475.5677214, 1970.0000000, 478.6339905, 471.5388403, 445.8766149, 400.5607187, 349.3026066, 313.6066404, 309.8834116, 338.7090522, 385.3904927, 430.4852845, 460.5024844, 474.1321620, 1971.0000000, 477.9364323, 471.7157444, 446.8056229, 401.9002270, 350.6731624, 314.7633330, 310.6999537, 339.0302248, 385.0051799, 429.3074387, 458.7415608, 472.2315650, 1972.0000000, 476.3657378, 470.8337476, 446.7662312, 402.5843256, 351.7823451, 316.0210003, 311.9354927, 340.0620488, 385.5325741, 429.0264186, 457.5814661, 470.4366126, 1973.0000000, 474.3645729, 469.0963321, 445.6850081, 402.3202903, 352.2310121, 316.9702712, 313.2263607, 341.5441768, 386.9024686, 429.8360474, 457.4762980, 469.3673794, 1974.0000000, 472.5749158, 467.0150203, 443.8233326, 401.0861820, 351.7724633, 317.2279515, 314.1180760, 343.0135494, 388.7498067, 431.6009791, 458.5998944, 469.4860427, 1975.0000000, 471.6463806, 465.2794194, 441.7461043, 399.2014823, 350.4522584, 316.6046932, 314.2301783, 343.9398109, 390.4891112, 433.8436407, 460.7413097, 470.9206102, 1976.0000000, 472.0195080, 464.5411935, 440.1571637, 397.2541744, 348.6350798, 315.2121526, 313.4186960, 343.9141784, 391.4814000, 435.8338998, 463.2847350, 473.3355452, 1977.0000000, 473.7082461, 465.1437682, 439.6283148, 395.8878131, 346.8908591, 313.4621263, 311.8907195, 342.8769623, 391.3440907, 436.9078266, 465.4540738, 476.0524306, 1978.0000000, 476.2839528, 466.9791975, 440.3595977, 395.5176737, 345.7243055, 311.8505563, 310.0709212, 341.1015568, 390.0806154, 436.7236574, 466.6236756, 478.3362665, 1979.0000000, 479.0898314, 469.6073246, 442.1952485, 396.2546428, 345.4342905, 310.7828970, 308.4182316, 339.0373862, 388.0068915, 435.3133960, 466.4785792, 479.6081969, 1980.0000000, 481.4484833, 472.4226741, 444.7299698, 397.9440641, 346.0897678, 310.4968970, 307.3035428, 337.1576536, 385.6092068, 433.0126885, 465.0541613, 479.5702071, 1981.0000000, 482.8211846, 474.8024111, 447.4204308, 400.2312207, 347.5506251, 311.0414722, 306.9429673, 335.8409023, 383.3892530, 430.3213827, 462.6725671, 478.2443147, 1982.0000000, 482.9245235, 476.2565536, 449.7271212, 402.6719319, 349.5411885, 312.3160254, 307.4039340, 335.3346464, 381.7736168, 427.7726574, 459.8161747, 475.8960483, 1983.0000000, 481.7183108, 476.4607771, 451.1611871, 404.7710988, 351.6751922, 314.0844057, 308.6090500, 335.7459425, 381.0865266, 425.8856731, 457.0846739, 473.0322682, 1984.0000000, 479.4668917, 475.3658957, 451.4004014, 406.0676805, 353.4963342, 315.9787868, 310.3134755, 336.9911225, 381.4636339, 425.0449084, 455.0557155, 470.2861439, 1985.0000000, 476.6896781, 473.2363796, 450.3966422, 406.2608889, 354.5812891, 317.5638130, 312.1299625, 338.7865822, 382.8096667, 425.4232561, 454.1802815, 468.3018287, 1986.0000000, 474.0751136, 470.6319981, 448.4383648, 405.3273450, 354.6643537, 318.4352019, 313.5883355, 340.6596569, 384.7522380, 426.8775805, 454.6314175, 467.5602226, 1987.0000000, 472.3169666, 468.3020938, 446.1426161, 403.6113781, 353.7870524, 318.3820598, 314.2812062, 342.0535263, 386.6786891, 428.8954853, 456.1543519, 468.1489977, 1988.0000000, 471.8372587, 466.9107606, 444.2495657, 401.7425681, 352.3459149, 317.5366431, 314.0823316, 342.5842930, 387.9829730, 430.7751264, 458.1383537, 469.7092796, 1989.0000000, 472.6094377, 466.7611895, 443.3017970, 400.3451063, 350.8941798, 316.2926563, 313.1824464, 342.1884381, 388.3040842, 431.8979238, 459.8557266, 471.5922560, 1990.0000000, 474.2106526, 467.7371504, 443.4899635, 399.8295287, 349.9332073, 315.1387338, 311.9935706, 341.1276052, 387.6503997, 431.9547705, 460.7299992, 473.1019222, 1991.0000000, 475.9931359, 469.3782536, 444.6240441, 400.2744551, 349.7375630, 314.4609247, 310.9555644, 339.8342093, 386.3360518, 431.0109222, 460.5179579, 473.7431635, 1992.0000000, 477.3420922, 471.1015261, 446.2850130, 401.4921902, 350.3390993, 314.4606125, 310.4001445, 338.7365819, 384.8057928, 429.3886025, 459.2905117, 473.2978159, 1993.0000000, 477.8120263, 472.3585808, 447.9684730, 403.1358903, 351.5883596, 315.1697538, 310.5200970, 338.1793917, 383.5158207, 427.5448689, 457.3545457, 471.8135385, 1994.0000000, 477.1725987, 472.7094684, 449.1576248, 404.7546024, 353.1873712, 316.4626046, 311.3591379, 338.3864210, 382.8678913, 425.9924801, 455.1982001, 469.6071848, 1995.0000000, 475.4769023, 471.9340787, 449.4399152, 405.8820601, 354.7385463, 318.0700323, 312.7971978, 339.4137149, 383.1244951, 425.1820813, 453.3616699, 467.1624990, 1996.0000000, 473.0201191, 470.0592393, 448.5800023, 406.1189034, 355.8095469, 319.6191733, 314.5680170, 341.1496749, 384.3902296, 425.4630343, 452.3886960, 465.0944841, 1997.0000000, 470.3398175, 467.4096529, 446.6109463, 405.2302181, 356.0043610, 320.6638339, 316.2468238, 343.2574583, 386.5113435, 426.9507478, 452.6778117, 464.0124681, 1998.0000000, 468.1265284, 464.6001381, 443.9207511, 403.3007269, 355.1350697, 320.8294999, 317.3473538, 345.2114608, 389.0382248, 429.4147898, 454.3139150, 464.3162030, 1999.0000000, 467.0161338, 462.3675731, 441.1739640, 400.7683477, 353.3468065, 319.9871818, 317.5059251, 346.4551362, 391.3203538, 432.2827601, 456.9729041, 466.0202438, 2000.0000000, 467.3588221, 461.3222939, 439.0952731, 398.2936253, 351.0992596, 318.3376907, 316.6463208, 346.6180448, 392.7229942, 434.7937509, 459.9747350, 468.6975926, 2001.0000000, 469.0649507, 461.7161935, 438.2035367, 396.5184205, 349.0033110, 316.3571682, 315.0465284, 345.7053119, 392.9117888, 436.3067437, 462.5357429, 471.6272295, 2002.0000000, 471.6310423, 463.3476654, 438.6105938, 395.7990721, 347.5436238, 314.5555641, 313.1704211, 344.0460509, 391.9528559, 436.5415143, 464.0810855, 474.1035764, 2003.0000000, 474.3967103, 465.7386070, 440.1012719, 396.1867654, 346.9759558, 313.3177988, 311.4772494, 342.1073096, 390.1931391, 435.5718408, 464.3469537, 475.5970886, 2004.0000000, 476.7167658, 468.2858791, 442.2429476, 397.4830837, 347.3259285, 312.8487034, 310.3178329, 340.3546757, 388.1233138, 433.7521692, 463.4043053, 475.8614661, 2005.0000000, 478.1075891, 470.4076839, 444.5065730, 399.3222919, 348.4287453, 313.1703089, 309.8855580, 339.1503527, 386.2349973, 431.5794223, 461.5850028, 474.9467079, 2006.0000000, 478.3290293, 471.6574378, 446.3781042, 401.2603160, 349.9898123, 314.1549022, 310.2196206, 338.7164045, 384.9351290, 429.5731241, 459.3695206, 473.1372525, 2007.0000000, 477.3845380, 471.7681732, 447.4182526, 402.8271774, 351.6220542, 315.5484347, 311.2170689, 339.1325983, 384.5223171, 428.2318117, 457.3441155, 470.9423757, 2008.0000000, 475.5650088, 470.7401127, 447.3600278, 403.6001205, 352.8789496, 316.9669762, 312.5981026, 340.2700868, 385.0863619, 427.9009277, 456.0604174, 468.9881570, 2009.0000000, 473.4117283, 468.8934304, 446.2337283, 403.3533846, 353.3851907, 317.9880550, 313.9561070, 341.7987072, 386.4675086, 428.6847582, 455.9093543, 467.8771605, 2010.0000000, 471.6012798, 466.8176070, 444.3989468, 402.1550425, 352.9563962, 318.2574110, 314.8312563, 343.2128568, 388.2203351, 430.3414832, 456.9587369, 467.9966572, 2011.0000000, 470.7608497, 465.2394445, 442.5064796, 400.4328558, 351.7410596, 317.6662429, 314.8926550, 343.9893530, 389.7089980, 432.2809426, 458.8399524, 469.3064959, 2012.0000000, 471.1899758, 464.7267985, 441.2488377, 398.8297033, 350.2025975, 316.4463916, 314.1245192, 343.8410991, 390.3814249, 433.7902826, 460.8681627, 471.3295610, 2013.0000000, 472.7215628, 465.4420046, 441.0539189, 397.9054563, 348.8902494, 315.0429450, 312.8140699, 342.8310738, 390.0026836, 434.3380027, 462.3394252, 473.3774315, 2014.0000000, 474.8442985, 467.1501989, 441.9867034, 397.9640880, 348.2378716, 313.9244171, 311.4031955, 341.3012089, 388.6975015, 433.7319486, 462.7568540, 474.7791148, 2015.0000000, 476.8837106, 469.3241280, 443.7669236, 398.9907572, 348.4416041, 313.4254726, 310.3161661, 339.7144071, 386.8604977, 432.1500042, 461.9859789, 475.1135875, 2016.0000000, 478.2525122, 471.3650308, 445.9279402, 400.7338815, 349.4678506, 313.6908371, 309.8445656, 338.4864092, 384.9642638, 429.9831354, 460.1862450, 474.2402167, 2017.0000000, 478.5508080, 472.7325593, 447.9418665, 402.8040200, 351.1178842, 314.7046529, 310.1401176, 337.9359644, 383.4685850, 427.7316133, 457.7397270, 472.2899895, 2018.0000000, 477.6147048, 473.0215837, 449.2936631, 404.7274974, 353.0584177, 316.3017625, 311.2069175, 338.2524136, 382.7574849, 425.9206763, 455.1807489, 469.6461677, 2019.0000000, 475.5625267, 472.0558735, 449.5828880, 406.0219672, 354.8589979, 318.1730680, 312.8824909, 339.4511764, 383.0640645, 424.9974130, 453.0817159, 466.8582264, 2020.0000000, 472.7713271, 469.9379719, 448.6236326, 406.3034201, 356.0743642, 319.9144552, 314.8573806, 341.3692964, 384.4417291, 425.2743474, 451.9789861, 464.5703912, 2021.0000000, 469.8403496, 467.0697900, 446.5186478, 405.3806883, 356.3207723, 321.0650169, 316.6702838, 343.6145455, 386.6683290, 426.7993288, 452.2246580, 463.3821432, 2022.0000000, 467.4936559, 464.1369878, 443.7461128, 403.4233330, 355.4714486, 321.2814309, 317.8359021, 345.6304750, 389.2303925, 429.2534099, 453.8079452, 463.6145332, 2023.0000000, 466.3227364, 461.8770729, 441.0136851, 400.9396427, 353.7480776, 320.5020453, 318.0406284, 346.8844484, 391.4638321, 432.0059659, 456.3113818, 465.1722344, 2024.0000000, 466.5752371, 460.8262698, 439.0157604, 398.6050502, 351.6596985, 318.9980859, 317.2900939, 347.0895507, 392.8010167, 434.3242282, 459.0290112, 467.5528924, 2025.0000000, 468.0538690, 461.1201277, 438.1709009, 396.9954321, 349.7915811, 317.2572905, 315.9074945, 346.3276590, 393.0048823, 435.6609631, 461.2368418, 470.0429630, 2026.0000000, 470.2111393, 462.4756909, 438.4942273, 396.3786399, 348.5638236, 315.7545408, 314.3541057, 344.9640827, 392.2221060, 435.8470813, 462.4717956, 472.0163373, 2027.0000000, 472.4155653, 464.3917827, 439.7087777, 396.7268240, 348.1551601, 314.8100458, 313.0415697, 343.4446231, 390.8184961, 435.0241579, 462.5723937, 473.0488984, 2028.0000000, 474.0998197, 466.2983660, 441.3703221, 397.7993328, 348.5360410, 314.5723346, 312.2685372, 342.1933431, 389.2691302, 433.5740114, 461.6843639, 472.9976467, 2029.0000000, 474.8804632, 467.6824903, 442.9734447, 399.2136811, 349.5002132, 315.0110694, 312.1717617, 341.5160875, 388.0204499, 431.9787765, 460.1707263, 471.9879926, 2030.0000000, 474.6151875, 468.1864089, 444.0577348, 400.5362262, 350.7302918, 315.9571393, 312.7395816, 341.5797829, 387.4282555, 430.7269646, 458.5200212, 470.3610730, 2031.0000000, 473.4035206, 467.6510567, 444.2689297, 401.3370633, 351.8348490, 317.1212908, 313.8144173, 342.3969377, 387.7201691, 430.2563357, 457.2876218, 468.6423786, 2032.0000000, 471.6042384, 466.1812451, 443.4476425, 401.2688297, 352.3950311, 318.1041380, 315.0682695, 343.7670576, 388.9030601, 430.8355200, 456.9727773, 467.4472667, 2033.0000000, 469.8027640, 464.1951732, 441.7522585, 400.2241489, 352.1118031, 318.5065905, 316.0672433, 345.2874775, 390.7109951, 432.4490214, 457.8573432, 467.3024042, 2034.0000000, 468.6521355, 462.3243340, 439.6441925, 398.4019425, 350.9202659, 318.0544207, 316.3795772, 346.4221388, 392.6116450, 434.7298156, 459.8721274, 468.4718265, 2035.0000000, 468.6921914, 461.2643732, 437.8123502, 396.3284417, 349.0971361, 316.7629395, 315.7694357, 346.6912115, 393.9425717, 436.9935996, 462.5112301, 470.7630388, 2036.0000000, 470.0768848, 461.4669511, 436.8871201, 394.6525204, 347.1727083, 314.9703945, 314.3430705, 345.9172713, 394.2147167, 438.5216896, 465.0202201, 473.5880971, 2037.0000000, 472.5080272, 462.9624878, 437.1870336, 393.8702639, 345.6890168, 313.1682996, 312.4789333, 344.2826993, 393.3076382, 438.8530483, 466.7044937, 476.2131432, 2038.0000000, 475.3905930, 465.4089674, 438.6642179, 394.1883294, 345.0166675, 311.8054634, 310.6460285, 342.2033209, 391.4503908, 437.8948913, 467.1288221, 477.9839494, 2039.0000000, 478.0304041, 468.2329959, 440.9741963, 395.5218883, 345.2905618, 311.1761571, 309.2589422, 340.1725796, 389.1087059, 435.9146600, 466.2336204, 478.5203235, 2040.0000000, 479.8470163, 470.8154185, 443.6100256, 397.5670206, 346.4224257, 311.3769307, 308.5758408, 338.5989935, 386.7846073, 433.3655531, 464.2498649, 477.7381043, 2041.0000000, 480.4725754, 472.6245720, 446.0334386, 399.9096265, 348.1800012, 312.3555380, 308.7156993, 337.7822210, 384.9466109, 430.7890171, 461.6210235, 475.8272973, 2042.0000000, 479.7841975, 473.2755024, 447.7307504, 402.0612114, 350.2021975, 313.9100265, 309.6413682, 337.8740998, 383.9590212, 428.7225738, 458.9231751, 473.2272874, 2043.0000000, 477.9536194, 472.6328010, 448.3259867, 403.5465714, 352.0489849, 315.7072184, 311.1548106, 338.8486055, 384.0206079, 427.6020676, 456.7513590, 470.5368151, 2044.0000000, 475.4193732, 470.8586595, 447.6814076, 404.0117418, 353.2835751, 317.3295120, 312.9112286, 340.4871726, 385.1187049, 427.6850514, 455.6167197, 468.4111109, 2045.0000000, 472.8209426, 468.4138923, 445.9660716, 403.3277753, 353.5694774, 318.3402287, 314.4446139, 342.3596298, 386.9630653, 428.9394274, 455.8053865, 467.4152851, 2046.0000000, 470.8835252, 466.0171236, 443.7156695, 401.7359645, 352.8527737, 318.4569536, 315.3065625, 343.9071789, 388.9885080, 430.9506982, 457.1932899, 467.7684616, 2047.0000000, 470.1271093, 464.3725562, 441.6445879, 399.7879644, 351.4260326, 317.7037995, 315.2706135, 344.6671502, 390.5554957, 433.0507256, 459.2723570, 469.2601532, 2048.0000000, 470.6858841, 463.9219366, 440.3844294, 398.1363648, 349.8172564, 316.4094115, 314.4326427, 344.4611277, 391.1914849, 434.5489382, 461.3092560, 471.3037295, 2049.0000000, 472.2471125, 464.6782231, 440.2434582, 397.2746727, 348.5673210, 315.0602335, 313.1622947, 343.4673510, 390.7885755, 435.0170889, 462.6463264, 473.1852034, 2050.0000000, 474.2080751, 466.2703437, 441.1378844, 397.3787557, 348.0237408, 314.0865257, 311.9126018, 342.0925390, 389.5891934, 434.4130391, 462.9306113, 474.3350171, 2051.0000000, 475.9333321, 468.1458046, 442.7125062, 398.3353408, 348.2864039, 313.7436941, 311.0521051, 340.7759478, 388.0083088, 432.9821136, 462.1261320, 474.4320933, 2052.0000000, 476.9094564, 469.7369643, 444.4870226, 399.8476844, 349.2644134, 314.1213085, 310.8272355, 339.9069182, 386.5245430, 431.1642380, 460.4795779, 473.4401979, 2053.0000000, 476.8292257, 470.5580151, 445.9373145, 401.4862979, 350.6943959, 315.1311678, 311.3188621, 339.7433056, 385.5611907, 429.4653653, 458.4321054, 471.5957603, 2054.0000000, 475.6567114, 470.3211080, 446.6235028, 402.7972819, 352.2162513, 316.5527901, 312.4607412, 340.3979014, 385.4325960, 428.3666966, 456.5156392, 469.3291776, 2055.0000000, 473.5999827, 468.9594342, 446.2405107, 403.3517351, 353.4046537, 318.0442923, 314.0325470, 341.8152515, 386.3030552, 428.2669952, 455.2931898, 467.2295398, 2056.0000000, 471.1250154, 466.6980205, 444.7251603, 402.8509697, 353.8418358, 319.1732718, 315.6507820, 343.7233658, 388.1011837, 429.3671398, 455.2296974, 465.9301005, 2057.0000000, 468.8906524, 464.0680975, 442.3546259, 401.2762916, 353.2697161, 319.5359734, 316.8389878, 345.6448533, 390.4624444, 431.5464449, 456.5201241, 465.9130544, 2058.0000000, 467.5644294, 461.7752394, 439.7048181, 398.9466102, 351.7176369, 318.9127016, 317.1780003, 347.0128133, 392.7818465, 434.3345454, 458.9816329, 467.3436267, 2059.0000000, 467.6247993, 460.5080834, 437.5131678, 396.4744228, 349.5583109, 317.4018945, 316.4894414, 347.3692877, 394.3741885, 436.9789111, 462.0061686, 469.9130261, 2060.0000000, 469.1180296, 460.6410364, 436.3803630, 394.5290397, 347.3794599, 315.4180444, 314.9608256, 346.6103660, 394.7997352, 438.7711830, 464.8071793, 472.9649316, 2061.0000000, 471.6551126, 462.1094335, 436.5468569, 393.5616887, 345.7151371, 313.4757064, 313.0176746, 344.9822374, 394.0048890, 439.3031847, 466.7132888, 475.7555510, 2062.0000000, 474.5991163, 464.5064722, 437.8926250, 393.7169244, 344.8954166, 312.0079663, 311.1374407, 342.9330202, 392.2719507, 438.5452597, 467.3492875, 477.6725048, 2063.0000000, 477.2723700, 467.2474088, 440.0394016, 394.8655427, 345.0127344, 311.2760837, 309.7144231, 340.9511057, 390.0793373, 436.7949800, 466.6961358, 478.3772169, 2064.0000000, 479.1261267, 469.7268213, 442.4730509, 396.6801649, 345.9482566, 311.3466868, 308.9818014, 339.4287733, 387.9270631, 434.5208275, 465.0174649, 477.8303870, 2065.0000000, 479.8402848, 471.4521607, 444.6759272, 398.7464519, 347.4539589, 312.1436211, 309.0313951, 338.6393813, 386.2620242, 432.2540362, 462.7619699, 476.2438724, 2066.0000000, 479.3266872, 472.0763029, 446.1626037, 400.5860593, 349.1611066, 313.4449870, 309.7994802, 338.7058896, 385.4249733, 430.5198172, 460.5098027, 474.0796781, 2067.0000000, 477.7980012, 471.5161050, 446.6066433, 401.7562337, 350.6388604, 314.9059589, 311.0601460, 339.5640008, 385.5729353, 429.7193483, 458.8372542, 471.9402966, 2068.0000000, 475.7210403, 469.9835121, 445.9294587, 401.9535907, 351.4783519, 316.1099792, 312.4442009, 340.9478945, 386.6317594, 430.0494589, 458.2116778, 470.4645053, 2069.0000000, 473.7517645, 467.9902150, 444.3779103, 401.1345746, 351.4137396, 316.6619792, 313.4920337, 342.3943690, 388.2405407, 431.3850721, 458.8270394, 470.1456910, 2070.0000000, 472.5765932, 466.2579409, 442.5349740, 399.6206420, 350.4821027, 316.3602319, 313.8094683, 343.3567105, 389.7909525, 433.2175549, 460.4376396, 471.0822037, 2071.0000000, 472.6180000, 465.4328883, 441.1079606, 398.0080422, 349.0599590, 315.3335520, 313.2780307, 343.4610362, 390.6833117, 434.8480910, 462.4400047, 472.9303255, 2072.0000000, 473.8672455, 465.8278927, 440.6347035, 396.9063563, 347.6867083, 313.9700019, 312.0916305, 342.6503830, 390.5567800, 435.6469516, 464.0895787, 475.0290408, 2073.0000000, 475.8984040, 467.3279882, 441.3038362, 396.7183907, 346.8547876, 312.7546416, 310.6684106, 341.2024167, 389.4374946, 435.3118152, 464.8023303, 476.6698789, 2074.0000000, 478.0562991, 469.4725673, 442.9272859, 397.5210478, 346.8325327, 312.0670888, 309.4473271, 339.5579860, 387.6548067, 433.9192406, 464.3321730, 477.3430215, 2075.0000000, 479.7106639, 471.6710987, 445.0866792, 399.1300834, 347.6532806, 312.1080345, 308.7607204, 338.1519655, 385.6670819, 431.8049200, 462.7516171, 476.8153360, 2076.0000000, 480.3923997, 473.3553572, 447.2691302, 401.1998013, 349.1727086, 312.9150995, 308.8083444, 337.3407018, 383.9507999, 429.4515617, 460.3857270, 475.1336869, 2077.0000000, 479.8516938, 474.0589952, 448.9367296, 403.2684997, 351.0896468, 314.3622043, 309.6341356, 337.3504777, 382.9164212, 427.3879338, 457.7394681, 472.6201611, 2078.0000000, 478.1301098, 473.5390372, 449.6560658, 404.8606164, 353.0090643, 316.1896284, 311.1302568, 338.2514086, 382.8436298, 426.0864852, 455.3750986, 469.7706453, 2079.0000000, 475.5137505, 471.7923867, 449.1530163, 405.5451610, 354.4823470, 318.0217750, 313.0364440, 339.9434792, 383.8541164, 425.9206693, 453.8655236, 467.2265366, 2080.0000000, 472.5526104, 469.1338802, 447.4324447, 405.0555187, 355.0912929, 319.4036745, 314.9304860, 342.1008298, 385.8107928, 427.0265644, 453.6343977, 465.6220248, 2081.0000000, 469.9534854, 466.1760767, 444.8592624, 403.4414699, 354.6157754, 319.9410689, 316.3210882, 344.2066510, 388.2835558, 429.2000420, 454.7950887, 465.3865489, 2082.0000000, 468.3771715, 463.6672014, 442.0876353, 401.1106737, 353.1626572, 319.4713353, 316.8241152, 345.7016128, 390.6371655, 431.8961451, 457.0584142, 466.5716557, 2083.0000000, 468.2095935, 462.2454202, 439.8537303, 398.7138322, 351.1645176, 318.1611241, 316.3313856, 346.1936821, 392.2321783, 434.3664410, 459.7664410, 468.7756821, 2084.0000000, 469.3859485, 462.1839333, 438.6889594, 396.8915376, 349.2163600, 316.4597592, 315.0899452, 345.6622552, 392.7250522, 435.9846043, 462.1683797, 471.3174312, 2085.0000000, 471.4409242, 463.3132222, 438.7274511, 396.0090390, 347.7963648, 314.8564019, 313.5302183, 344.3958009, 392.1475878, 436.4555202, 463.6988991, 473.5174529, 2086.0000000, 473.7466841, 465.1866328, 439.7798090, 396.1347518, 347.1673692, 313.7315540, 312.0950992, 342.8343326, 390.8154381, 435.8321995, 464.0944024, 474.8665517, 2087.0000000, 475.6886119, 467.2310945, 441.4361996, 397.0837397, 347.3596246, 313.2865901, 311.1229658, 341.4203802, 389.1885732, 434.4413757, 463.4160763, 475.1324248, 2088.0000000, 476.8142247, 468.9006935, 443.1972092, 398.5085315, 348.2156562, 313.5421691, 310.7978266, 340.4965428, 387.7279183, 432.7451218, 461.9707870, 474.3620479, 2089.0000000, 476.9039292, 469.7840740, 444.5855792, 399.9932561, 349.4575809, 314.3777031, 311.1585761, 340.2766936, 386.8218639, 431.2351405, 460.2105883, 472.8237211, 2090.0000000, 475.9649329, 469.6356814, 445.1900517, 401.0904564, 350.7097350, 315.5408571, 312.0969220, 340.8292228, 386.7512878, 430.3856777, 458.6955304, 471.0086832, 2091.0000000, 474.2889193, 468.4792546, 444.7821597, 401.4162095, 351.5537466, 316.6622165, 313.3360109, 342.0190011, 387.5913090, 430.5192658, 457.9466180, 469.5097022, 2092.0000000, 472.3918835, 466.6278182, 443.4055759, 400.7704255, 351.6396740, 317.3363829, 314.4761644, 343.5145057, 389.1759417, 431.7308257, 458.3413678, 468.9115031, 2093.0000000, 470.9319913, 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