# 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 : -5 # 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, 430.7729958, 431.6822704, 427.6787184, 410.8054974, 385.3686017, 366.1300369, 369.2811937, 396.9864180, 431.7134994, 451.2423966, 448.1494616, 435.1737408, -2998.0000000, 429.3150462, 431.1675586, 428.1804051, 412.1390749, 387.1561489, 367.9802031, 370.8833940, 398.0172460, 431.8119188, 450.2616849, 446.3532359, 433.0601061, -2997.0000000, 427.3459838, 429.7251225, 427.5560148, 412.4222368, 388.1971627, 369.5070605, 372.6321640, 399.6871747, 432.9712212, 450.5129387, 445.6181918, 431.5866169, -2996.0000000, 425.4906360, 427.8634625, 426.0805130, 411.6383396, 388.2109837, 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-2978.0000000, 427.5274203, 427.4996489, 423.5283656, 407.6016359, 383.6677108, 366.0587245, 370.7514870, 399.8285510, 435.4301644, 454.8678705, 450.6892176, 436.1316862, -2977.0000000, 428.6954526, 429.2431078, 425.4456697, 409.2497804, 384.7145720, 366.3542549, 370.2513408, 398.5338795, 433.5292265, 452.8535279, 449.1462137, 435.4159237, -2976.0000000, 428.8881726, 430.2567590, 427.0286437, 411.0089430, 386.2509753, 367.3915033, 370.6222833, 398.0948073, 432.2452330, 450.9947702, 447.2349260, 433.9287296, -2975.0000000, 428.0998679, 430.2906139, 427.8509022, 412.3889812, 387.8378688, 368.8611365, 371.7314039, 398.5981761, 431.9074375, 449.8058074, 445.5147981, 432.1291956, -2974.0000000, 426.5922670, 429.3577031, 427.6792600, 412.9808642, 389.0015804, 370.3262952, 373.2515327, 399.8973859, 432.6192313, 449.6473798, 444.5140763, 430.5769614, -2973.0000000, 424.8355105, 427.7396043, 426.5398341, 412.5559319, 389.3303935, 371.2909932, 374.6897904, 401.5950142, 434.1939432, 450.6254513, 444.6130526, 429.8277208, -2972.0000000, 423.4447009, 425.9912421, 424.8043660, 411.2182638, 388.6529822, 371.3624697, 375.5032685, 403.0872676, 436.1083149, 452.4537525, 445.8399450, 430.1974078, -2971.0000000, 422.9461722, 424.7487907, 423.0858496, 409.4182368, 387.1639079, 370.4537057, 375.3377826, 403.7954866, 437.6753787, 454.5274262, 447.8374950, 431.6380875, -2970.0000000, 423.5846054, 424.4954275, 422.0077181, 407.7811198, 385.3547667, 368.8307461, 374.1806473, 403.3953180, 438.2932974, 456.1212244, 449.9651904, 433.7375019, -2969.0000000, 425.2302625, 425.3899401, 421.9788176, 406.8715376, 383.8197946, 367.0026536, 372.3639019, 401.9473558, 437.6813318, 456.6607252, 451.5279955, 435.8640451, -2968.0000000, 427.4318069, 427.2278303, 423.0686202, 407.0031131, 383.0359399, 365.5142561, 370.4129250, 399.8501071, 435.9734105, 455.9369509, 452.0395913, 437.4096789, -2967.0000000, 429.6032297, 429.5552889, 425.0369864, 408.1814015, 383.2293802, 364.7559366, 368.8231682, 397.6235989, 433.5730794, 454.0842439, 451.3147321, 437.9458626, -2966.0000000, 431.1974034, 431.8316242, 427.4655877, 410.1902123, 384.4082529, 364.9396312, 367.9810622, 395.7866138, 431.0248178, 451.5010182, 449.4697767, 437.2875615, -2965.0000000, 431.7968660, 433.5161187, 429.8221738, 412.6254761, 386.3649604, 366.0688135, 368.0964880, 394.7473933, 428.8790701, 448.7373184, 446.8825652, 435.5387358, -2964.0000000, 431.2230052, 434.2040295, 431.5869444, 414.9891015, 388.7316839, 367.9589914, 369.1889008, 394.7481120, 427.5893744, 446.3627113, 444.0771751, 433.0354698, -2963.0000000, 429.5486130, 433.6925685, 432.3400474, 416.7661610, 391.0309121, 370.2609671, 371.0873425, 395.8395546, 427.4576407, 444.8888058, 441.6471191, 430.3011545, -2962.0000000, 427.1070514, 432.0449142, 431.8564836, 417.5146543, 392.7334640, 372.4791803, 373.4114990, 397.8288642, 428.5510997, 444.6620878, 440.1442039, 427.9626558, -2961.0000000, 424.4684992, 429.6496033, 430.2433887, 417.0395153, 393.4156047, 374.0767188, 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440.0404984, 448.5258670, 447.8646516, 428.0198168, 395.7425197, 369.4018197, 365.1389117, 383.9566123, 411.9349509, 432.4609846, 438.0010080, 435.3950168, 1831.0000000, 438.1092912, 446.8304160, 446.7894549, 427.7862390, 396.3095323, 370.5653528, 366.6804671, 385.6295211, 413.3675567, 433.2291323, 437.8591754, 434.3905040, 1832.0000000, 436.4768189, 444.9034145, 445.0009713, 426.5499463, 395.8422484, 370.8700396, 367.6732545, 387.1832009, 415.2003738, 434.8744136, 438.8583061, 434.5110365, 1833.0000000, 435.7213265, 443.4294592, 443.1379694, 424.7501216, 394.4949761, 370.1823639, 367.7311860, 388.0349946, 416.7672455, 436.8182259, 440.6633906, 435.7368833, 1834.0000000, 436.1320439, 442.9521129, 441.8839364, 423.0472559, 392.7596422, 368.7443812, 366.8119512, 387.8443182, 417.4717259, 438.3479777, 442.6379595, 437.6567452, 1835.0000000, 437.5932243, 443.6673690, 441.7035110, 422.0597684, 391.2623318, 367.0710183, 365.2355403, 386.6570380, 417.0300984, 438.8918377, 444.0756561, 439.6106560, 1836.0000000, 439.6221185, 445.3524657, 442.6710711, 422.1236389, 390.5033097, 365.7199101, 363.5276551, 384.8669054, 415.5820923, 438.2608163, 444.5046954, 440.9829850, 1837.0000000, 441.6056744, 447.5200948, 444.5225433, 423.2367712, 390.7099648, 365.0809119, 362.1753233, 382.9791127, 413.5248621, 436.6043351, 443.7649375, 441.3579393, 1838.0000000, 442.9868629, 449.6009448, 446.8061312, 425.1572127, 391.8725964, 365.3484718, 361.5407949, 381.4792512, 411.3722708, 434.3144488, 441.9948788, 440.5813891, 1839.0000000, 443.3684335, 451.0561905, 448.9791150, 427.4695689, 393.7750045, 366.5153840, 361.8140860, 380.7396657, 409.6281753, 431.9061639, 439.5658661, 438.7721589, 1840.0000000, 442.5900623, 451.4897030, 450.5190687, 429.6702288, 396.0459355, 368.3924255, 363.0015754, 380.9725252, 408.6977676, 429.9006705, 436.9763070, 436.2663459, 1841.0000000, 440.7390314, 450.7143754, 451.0165841, 431.2539637, 398.2220730, 370.6467129, 364.9432383, 382.2241954, 408.8559866, 428.7674998, 434.7822751, 433.5670530, 1842.0000000, 438.1415450, 448.7902140, 450.2402447, 431.7729676, 399.7777127, 372.7964838, 367.2789079, 384.3199013, 410.1723900, 428.8371254, 433.5150863, 431.2882519, 1843.0000000, 435.3638227, 446.1039066, 448.2889854, 431.0183854, 400.2809292, 374.3107304, 369.4821187, 386.8321935, 412.4224510, 430.1651516, 433.5127227, 429.9775878, 1844.0000000, 433.0562298, 443.2773044, 445.6004538, 429.1276182, 399.5565865, 374.7737636, 370.9902077, 389.1538489, 415.0901439, 432.4682868, 434.8026070, 429.9657924, 1845.0000000, 431.7915654, 441.0264226, 442.8778773, 426.6144120, 397.8152959, 374.0746392, 371.4067028, 390.6699935, 417.4686527, 435.1245155, 437.0048057, 431.1887069, 1846.0000000, 431.8265730, 439.8895768, 440.8372763, 424.2024583, 395.6195136, 372.5098378, 370.7158499, 391.0384199, 418.9402155, 437.3909286, 439.4451588, 433.1873179, 1847.0000000, 432.9883277, 440.0068855, 439.9067626, 422.5054063, 393.6195046, 370.6335854, 369.2773773, 390.3376798, 419.2486471, 438.7263061, 441.4511107, 435.3275799, 1848.0000000, 434.8008426, 441.1403032, 440.1314036, 421.8301320, 392.2964119, 368.9931914, 367.6067199, 388.9423964, 418.5076163, 438.9224436, 442.5518948, 437.0124565, 1849.0000000, 436.6738488, 442.8176448, 441.2509879, 422.1737122, 391.8811149, 367.9894428, 366.2058035, 387.3691380, 417.1156732, 438.1254004, 442.5924605, 437.8461864, 1850.0000000, 438.0771570, 444.4877075, 442.8120492, 423.2736885, 392.3350558, 367.7900973, 365.4159301, 386.0849686, 415.5664180, 436.7081695, 441.7070030, 437.6977496, 1851.0000000, 438.6632809, 445.6727594, 444.3220533, 424.7395938, 393.4428687, 368.3747547, 365.4079190, 385.4389845, 414.3319576, 435.1441386, 440.2269136, 436.6667436, 1852.0000000, 438.2850487, 446.0181800, 445.3100473, 426.1079451, 394.8526810, 369.5568925, 366.1827587, 385.6352063, 413.8065277, 433.9360943, 438.6258264, 435.0708280, 1853.0000000, 437.0316398, 445.3641227, 445.4076983, 426.9062397, 396.1100083, 370.9877394, 367.5490239, 386.6836657, 414.2305073, 433.5232217, 437.4347988, 433.3988273, 1854.0000000, 435.2407070, 443.8204302, 444.4673857, 426.7776147, 396.7559932, 372.2133235, 369.1362615, 388.3709306, 415.6201568, 434.1770628, 437.1226912, 432.2030237, 1855.0000000, 433.4290035, 441.7562528, 442.6155200, 425.5766837, 396.4293020, 372.7525382, 370.4346410, 390.2538251, 417.7154172, 435.9143126, 437.9927558, 432.0009578, 1856.0000000, 432.2248802, 439.7909934, 440.3224335, 423.5108947, 395.0423250, 372.2638637, 370.9166766, 391.7086147, 419.9365483, 438.3615068, 439.9802853, 433.0398413, 1857.0000000, 432.1288635, 438.5880732, 438.2783849, 421.1370286, 392.8996206, 370.7551362, 370.2950237, 392.1857699, 421.5777648, 440.8430114, 442.6236652, 435.1662875, 1858.0000000, 433.3059128, 438.5955409, 437.1255236, 419.1453233, 390.5870652, 368.6001096, 368.6638850, 391.4515252, 422.0886088, 442.6231032, 445.2091006, 437.8594500, 1859.0000000, 435.5132916, 439.8794854, 437.2192182, 418.0928946, 388.7334676, 366.3781468, 366.4538908, 389.6806965, 421.2948212, 443.1892441, 447.0347643, 440.4222588, 1860.0000000, 438.2007888, 442.1262921, 438.5326087, 418.2262408, 387.7843425, 364.6405802, 364.2359071, 387.3546980, 419.4390732, 442.4355587, 447.6723878, 442.2430483, 1861.0000000, 440.7278032, 444.7949320, 440.7274539, 419.4618771, 387.8966974, 363.7339795, 362.4917328, 385.0168945, 416.9927914, 440.5960703, 447.0293858, 442.9463262, 1862.0000000, 442.5522535, 447.3078097, 443.3216438, 421.5103043, 389.0068509, 363.8053725, 361.5550839, 383.1544353, 414.5051666, 438.1193672, 445.2993395, 442.4170922, 1863.0000000, 443.2980404, 449.1305580, 445.7588735, 423.9247483, 390.8545685, 364.7999764, 361.5753956, 382.1192629, 412.4903086, 435.5592943, 442.9057192, 440.8234622, 1864.0000000, 442.8441515, 449.8938590, 447.5283500, 426.1950187, 393.0444306, 366.4921897, 362.5190834, 382.0909245, 411.3408559, 433.4517817, 440.3823120, 438.5451708, 1865.0000000, 441.3194499, 449.4454461, 448.2439167, 427.8214854, 395.0977274, 368.5146765, 364.1785448, 383.0650087, 411.2927716, 432.2528345, 438.3010975, 436.1208825, 1866.0000000, 439.0973663, 447.8986407, 447.7271475, 428.3981112, 396.5081448, 370.3774586, 366.1586059, 384.8119601, 412.3568518, 432.2497128, 437.1766160, 434.1747454, 1867.0000000, 436.7748696, 445.6880440, 446.1371944, 427.7777271, 396.8912383, 371.5690197, 367.9165105, 386.8508842, 414.2285351, 433.4144559, 437.2824833, 433.2202841, 1868.0000000, 435.0002711, 443.4650504, 443.9720167, 426.1815038, 396.1625965, 371.7508336, 368.9343781, 388.5722772, 416.3385054, 435.3733979, 438.5469301, 433.5022474, 1869.0000000, 434.2842490, 441.9131692, 441.9393584, 424.1690871, 394.6143334, 370.9123252, 368.9119505, 389.4256751, 417.9861774, 437.4493012, 440.4925668, 434.8451090, 1870.0000000, 434.7762716, 441.4794581, 440.6930184, 422.4453391, 392.8413357, 369.4308527, 367.9503584, 389.1967982, 418.6544723, 438.9372962, 442.4157419, 436.7115600, 1871.0000000, 436.1984696, 442.1888647, 440.5521653, 421.5395936, 391.4505121, 367.8685317, 366.4728687, 388.0763389, 418.2185724, 439.4008376, 443.6889235, 438.4504720, 1872.0000000, 438.0108869, 443.7090908, 441.4538064, 421.6546321, 390.8400783, 366.7259825, 364.9979707, 386.5025947, 416.9093395, 438.7667679, 443.9478796, 439.5178619, 1873.0000000, 439.6223312, 445.5233547, 443.0634109, 422.6989588, 391.1531791, 366.3303514, 363.9815093, 384.9904493, 415.1808123, 437.2819318, 443.1465164, 439.5974158, 1874.0000000, 440.5363402, 447.0691699, 444.8812028, 424.3436912, 392.2787901, 366.7806576, 363.7083046, 383.9776677, 413.5439077, 435.3903095, 441.5231333, 438.6598801, 1875.0000000, 440.4767574, 447.8968635, 446.4004189, 426.1538757, 393.9419195, 367.9923262, 364.2870302, 383.7630618, 412.4502961, 433.5913450, 439.4788845, 436.8945085, 1876.0000000, 439.3771405, 447.7011536, 447.1576173, 427.6371280, 395.7400087, 369.7189909, 365.6571469, 384.4950232, 412.2589994, 432.3909485, 437.5372413, 434.7050752, 1877.0000000, 437.4251617, 446.4053491, 446.8298094, 428.3217432, 397.1842201, 371.5573266, 367.5627456, 386.1172498, 413.1535798, 432.1984020, 436.2414307, 432.6367013, 1878.0000000, 435.0462129, 444.2150836, 445.3439841, 427.8831302, 397.8034698, 373.0075041, 369.5662764, 388.3374686, 415.0728589, 433.2270246, 436.0397400, 431.2688408, 1879.0000000, 432.8306666, 441.6064146, 442.9398690, 426.2634696, 397.2788038, 373.5842664, 371.1145232, 390.6387707, 417.6643387, 435.4013425, 437.1645550, 431.0861344, 1880.0000000, 431.4217621, 439.2624252, 440.1869055, 423.7764005, 395.6062888, 372.9905593, 371.6803641, 392.3543713, 420.2697675, 438.2488857, 439.4520575, 432.2567999, 1881.0000000, 431.2768104, 437.8515016, 437.8312087, 421.0723051, 393.1964192, 371.3282358, 371.0425535, 392.9618575, 422.1643664, 441.0326554, 442.3506963, 434.5268092, 1882.0000000, 432.4662559, 437.7499543, 436.4825013, 418.8550346, 390.6874164, 369.0461341, 369.3768638, 392.2996160, 422.8444401, 443.0260784, 445.1179319, 437.3159430, 1883.0000000, 434.6683819, 438.9384055, 436.4222037, 417.6365949, 388.6995411, 366.7493851, 367.1673605, 390.6148683, 422.2122843, 443.7808389, 447.0889428, 439.9310269, 1884.0000000, 437.3040623, 441.0472209, 437.5519593, 417.5935908, 387.6248209, 364.9595468, 364.9810006, 388.4111462, 420.5556163, 443.2485669, 447.8911444, 441.8024563, 1885.0000000, 439.7530632, 443.5291733, 439.5031175, 418.5974608, 387.5730001, 363.9835465, 363.2735772, 386.2237397, 418.3598201, 441.6992171, 447.4844322, 442.6106517, 1886.0000000, 441.5198744, 445.8342284, 441.7958222, 420.3373375, 388.4440632, 363.9267710, 362.3382375, 384.5055329, 416.1522926, 439.5790037, 446.0813521, 442.2778911, 1887.0000000, 442.2750171, 447.4713151, 443.9011835, 422.3715271, 389.9635991, 364.7087746, 362.2941665, 383.5793830, 414.4247645, 437.4322535, 444.1137296, 441.0000540, 1888.0000000, 441.9412798, 448.1211570, 445.3491615, 424.2088194, 391.7309115, 366.0798972, 363.0720925, 383.5839553, 413.5320007, 435.7668922, 442.1046355, 439.1680979, 1889.0000000, 440.6815742, 447.6823690, 445.8068735, 425.3875762, 393.2796295, 367.6596990, 364.4319439, 384.4716213, 413.6654915, 435.0048123, 440.6092585, 437.3267311, 1890.0000000, 438.9016530, 446.3264996, 445.1691502, 425.5687231, 394.1438424, 368.9631559, 365.9490568, 385.9551540, 414.7639504, 435.3636005, 440.0901148, 436.0737059, 1891.0000000, 437.2037693, 444.5301555, 443.6708320, 424.6961759, 394.0187940, 369.5258412, 367.0845000, 387.5116715, 416.4433291, 436.7198223, 440.7335624, 435.8600021, 1892.0000000, 436.2074444, 442.9584214, 441.8716464, 423.0924781, 392.9370946, 369.1136237, 367.3881053, 388.5433409, 418.0810883, 438.5948991, 442.3403825, 436.8073652, 1893.0000000, 436.3214470, 442.2280000, 440.4635539, 421.3611860, 391.2863492, 367.8410990, 366.6871507, 388.5972144, 419.0125064, 440.2735960, 444.3389822, 438.6186437, 1894.0000000, 437.5678059, 442.6693230, 440.0141676, 420.1712665, 389.6862727, 366.1682659, 365.2094629, 387.6035627, 418.8399077, 441.1056231, 446.0038875, 440.6763628, 1895.0000000, 439.5539147, 444.1765035, 440.7147268, 419.9492419, 388.6855056, 364.6547935, 363.4367288, 385.8674093, 417.5810193, 440.7764618, 446.7716335, 442.3296953, 1896.0000000, 441.6905859, 446.3349030, 442.4023248, 420.7977434, 388.5991976, 363.7503993, 361.8818800, 383.8780830, 415.5704879, 439.3366239, 446.3764294, 443.0829822, 1897.0000000, 443.3853481, 448.5869775, 444.6751564, 422.5448026, 389.4896306, 363.7120334, 360.9536379, 382.1430602, 413.3072456, 437.1210890, 444.8700631, 442.6929193, 1898.0000000, 444.1753305, 450.3670099, 447.0034794, 424.8165103, 391.1941974, 364.5868260, 360.8914159, 381.0736404, 411.3126468, 434.6283039, 442.5719922, 441.2067150, 1899.0000000, 443.8323679, 451.2374320, 448.8618211, 427.1396470, 393.3905767, 366.2395393, 361.7535466, 380.9263923, 410.0196004, 432.3781222, 439.9409100, 438.8863895, 1900.0000000, 442.3533078, 450.9300232, 449.7933295, 429.0045207, 395.6454783, 368.3866022, 363.4383804, 381.8093367, 409.7597903, 430.8786589, 437.5394085, 436.2022070, 1901.0000000, 439.9979043, 449.4239058, 449.4996673, 429.9327267, 397.4416260, 370.5835098, 365.6400711, 383.6099202, 410.6637462, 430.5071291, 435.9160724, 433.7445054, 1902.0000000, 437.2645358, 447.0036596, 447.9701687, 429.6321362, 398.3108465, 372.3102677, 367.8820078, 385.9804655, 412.6048821, 431.4177847, 435.4880170, 432.1024066, 1903.0000000, 434.7940130, 444.2246972, 445.5314560, 428.1172414, 397.9792940, 373.0973347, 369.5973504, 388.3582663, 415.1535430, 433.4398097, 436.3988177, 431.7031826, 1904.0000000, 433.2160626, 441.8030178, 442.8224918, 425.7879698, 396.5267048, 372.7169694, 370.3073280, 390.0945307, 417.6266564, 436.0306416, 438.3863853, 432.6147635, 1905.0000000, 432.9102183, 440.3668601, 440.5936757, 423.3377899, 394.4322106, 371.3533309, 369.8782619, 390.7466271, 419.3484554, 438.4487838, 440.8368919, 434.4818584, 1906.0000000, 433.8307056, 440.1847215, 439.3750636, 421.4309534, 392.3359318, 369.4954174, 368.5619754, 390.2599638, 419.9331085, 440.0609447, 443.0459419, 436.7013025, 1907.0000000, 435.5852998, 441.1390030, 439.3445118, 420.4905913, 390.7964019, 367.7194014, 366.8519979, 388.9378572, 419.3847351, 440.5393868, 444.4474529, 438.6267216, 1908.0000000, 437.5848839, 442.8033095, 440.3183327, 420.6002907, 390.1210469, 366.4794715, 365.2724859, 387.2791316, 418.0407997, 439.9376108, 444.7898137, 439.7893953, 1909.0000000, 439.2658799, 444.6371150, 441.8919928, 421.5695196, 390.3481095, 366.0116669, 364.2152921, 385.7743165, 416.3797929, 438.5723848, 444.1238228, 439.9726999, 1910.0000000, 440.2150310, 446.1314031, 443.5807663, 423.0468902, 391.3176146, 366.3539999, 363.9045884, 384.8123011, 414.8883546, 436.8949340, 442.7224838, 439.1970003, 1911.0000000, 440.2070824, 446.8753066, 444.8931740, 424.5847504, 392.7188807, 367.3735261, 364.3986755, 384.6513531, 414.0008434, 435.4209322, 441.0372224, 437.7264296, 1912.0000000, 439.2610631, 446.6429923, 445.4198974, 425.7053908, 394.1236086, 368.7670413, 365.5601069, 385.3548995, 413.9999102, 434.6078105, 439.5828781, 435.9971501, 1913.0000000, 437.6326091, 445.4499601, 444.9330656, 426.0094046, 395.0757052, 370.1215339, 367.0867732, 386.7944942, 414.9897888, 434.8002896, 438.8692848, 434.5583495, 1914.0000000, 435.7887358, 443.5764020, 443.4529424, 425.2591988, 395.1595338, 370.9467659, 368.5012626, 388.5939473, 416.7993632, 436.1061878, 439.2717568, 433.9643108, 1915.0000000, 434.3480175, 441.5811473, 441.3476382, 423.5449639, 394.1875473, 370.8411451, 369.2661451, 390.1729829, 418.9401226, 438.2731009, 440.8504710, 434.5662861, 1916.0000000, 433.8761499, 440.1385488, 439.2559989, 421.3202136, 392.3370116, 369.6914927, 369.0027489, 390.9395579, 420.7260139, 440.7052102, 443.2629698, 436.3438054, 1917.0000000, 434.6620548, 439.7898059, 437.8606828, 419.2521088, 390.1145241, 367.7554924, 367.6742708, 390.5394468, 421.5277035, 442.6522095, 445.8478459, 438.8786978, 1918.0000000, 436.5945875, 440.7396384, 437.6369639, 417.9739022, 388.1680683, 365.5756604, 365.6263572, 389.0281393, 421.0441264, 443.5034634, 447.8584849, 441.4861200, 1919.0000000, 439.1833673, 442.7679744, 438.6645651, 417.8270516, 387.0065195, 363.7247405, 363.4050580, 386.8156514, 419.4110179, 443.0390316, 448.7799225, 443.5161497, 1920.0000000, 441.8019617, 445.3933310, 440.6956828, 418.8281903, 386.8764106, 362.6149474, 361.5251024, 384.4352352, 417.0401273, 441.3939563, 448.4098032, 444.5034124, 1921.0000000, 443.8559075, 448.0293428, 443.2781448, 420.7434912, 387.7795706, 362.4560034, 360.3712798, 382.4036509, 414.4764814, 438.9729624, 446.8692244, 444.2552507, 1922.0000000, 444.9090472, 450.1128788, 445.8633081, 423.1632462, 389.5085232, 363.2496179, 360.1455967, 381.1135676, 412.2513860, 436.3124059, 444.5289001, 442.8650792, 1923.0000000, 444.7645465, 451.2191233, 447.9192059, 425.5908523, 391.7053707, 364.8189552, 360.8660126, 380.7919803, 410.7904832, 433.9542107, 441.8926493, 440.6501390, 1924.0000000, 443.4708693, 451.1200374, 449.0116671, 427.5184271, 393.9185503, 366.8470123, 362.3879824, 381.5024213, 410.3918854, 432.3960848, 439.5403817, 438.1168893, 1925.0000000, 441.3332927, 449.8401402, 448.8788824, 428.4871231, 395.6292286, 368.8662174, 364.3638568, 383.0781154, 411.1328964, 431.9805656, 438.0156191, 435.8811488, 1926.0000000, 438.8986820, 447.7275663, 447.5782703, 428.2641083, 396.4072574, 370.3661686, 366.2952305, 385.1189578, 412.8133531, 432.7875649, 437.6806850, 434.5077603, 1927.0000000, 436.8160997, 445.3765472, 445.5001787, 426.9401936, 396.0508125, 370.9290216, 367.6341920, 387.0391176, 414.9385868, 434.5541053, 438.5867664, 434.3522622, 1928.0000000, 435.6751581, 443.4997248, 443.3194497, 424.9863897, 394.7333042, 370.4256631, 367.9862566, 388.2380121, 416.8172011, 436.6721621, 440.3690818, 435.3712792, 1929.0000000, 435.7549668, 442.6489604, 441.7459223, 423.1000417, 392.9827155, 369.1258338, 367.3257313, 388.3801077, 417.8460599, 438.4100464, 442.3607526, 437.1148379, 1930.0000000, 436.8971617, 442.9805443, 441.2156043, 421.8862956, 391.4259389, 367.5552903, 365.9908224, 387.5361685, 417.7728188, 439.2319579, 443.8895336, 438.9475112, 1931.0000000, 438.6300899, 444.2695046, 441.7906800, 421.6639975, 390.5450150, 366.2535162, 364.4881250, 386.0796952, 416.7190859, 438.9379368, 444.4819969, 440.2579743, 1932.0000000, 440.3447566, 446.0283106, 443.2024702, 422.4256282, 390.5650456, 365.6127935, 363.3119505, 384.5272543, 415.0975965, 437.6987664, 444.0055231, 440.6591947, 1933.0000000, 441.5065617, 447.6956027, 444.9887144, 423.9036923, 391.4439818, 365.7956534, 362.7956874, 383.3397737, 413.4049334, 435.9023740, 442.6129006, 440.0305825, 1934.0000000, 441.7642998, 448.7787955, 446.6391228, 425.6941570, 392.9585702, 366.7768257, 363.1060014, 382.8640992, 412.1185300, 434.0401546, 440.6619038, 438.4944172, 1935.0000000, 440.9797988, 448.9161521, 447.6648593, 427.3143870, 394.7427625, 368.3605971, 364.2375346, 383.3004045, 411.6343655, 432.6277703, 438.6510898, 436.3980729, 1936.0000000, 439.2651102, 447.9550481, 447.6885547, 428.2742067, 396.3245810, 370.1852103, 365.9898285, 384.6514821, 412.1877207, 432.1049209, 437.1219804, 434.2491945, 1937.0000000, 436.9769208, 446.0147096, 446.5572954, 428.2007155, 397.2277402, 371.7853697, 367.9898726, 386.7092097, 413.8057150, 432.7586322, 436.5646979, 432.6259911, 1938.0000000, 434.6576410, 443.4807491, 444.3959582, 426.9276834, 397.0593966, 372.6491256, 369.7052570, 389.0196476, 416.2295046, 434.6161621, 437.3004282, 432.0713541, 1939.0000000, 432.9661295, 441.0016409, 441.6920534, 424.6598809, 395.7110622, 372.4055545, 370.5813877, 390.9432722, 418.8793003, 437.3186162, 439.2886672, 432.8612633, 1940.0000000, 432.4344257, 439.2716140, 439.1570636, 421.9563617, 393.4673125, 371.0249134, 370.2853462, 391.8894239, 421.0260716, 440.1920500, 442.0894446, 434.8771276, 1941.0000000, 433.2700070, 438.7845515, 437.4751537, 419.5351689, 390.9191095, 368.8603337, 368.8679345, 391.5678960, 422.0679079, 442.4708471, 444.9873281, 437.6186241, 1942.0000000, 435.2653181, 439.6507581, 437.0495389, 417.9966263, 388.7241694, 366.4984593, 366.7411225, 390.1098349, 421.7729711, 443.5918580, 447.2528749, 440.3856482, 1943.0000000, 437.8853866, 441.5841031, 437.8872685, 417.6216668, 387.3565165, 364.5068401, 364.4738057, 387.9716203, 420.3379343, 443.3979984, 448.4213976, 442.5573614, 1944.0000000, 440.5047805, 444.0748579, 439.6889770, 418.3657107, 387.0066728, 363.2566584, 362.5589982, 385.6859707, 418.1960701, 442.0645458, 448.3432633, 443.7201597, 1945.0000000, 442.5695599, 446.5563974, 441.9978421, 419.9699688, 387.6413778, 362.9223369, 361.3520451, 383.7503665, 415.8869837, 440.0083396, 447.1678788, 443.7219384, 1946.0000000, 443.6866034, 448.4998685, 444.2798364, 422.0163818, 389.0274596, 363.4713710, 361.0191330, 382.5252923, 413.9182100, 437.7556437, 445.2738517, 442.6828518, 1947.0000000, 443.7007172, 449.5266137, 446.0391355, 424.0240859, 390.8016454, 364.7066175, 361.5500894, 382.2077813, 412.6907301, 435.8327772, 443.1641785, 440.9377420, 1948.0000000, 442.6965779, 449.4565654, 446.8868439, 425.5120860, 392.5139267, 366.2900328, 362.7635751, 382.8168217, 412.4582081, 434.7036933, 441.4010553, 438.9967020, 1949.0000000, 441.0077921, 448.3660579, 446.6247531, 426.0768517, 393.6757382, 367.7538659, 364.2843715, 384.1381110, 413.2431559, 434.6622902, 440.4969429, 437.4675504, 1950.0000000, 439.2008417, 446.6536142, 445.3857131, 425.5667747, 393.9195316, 368.6151179, 365.6002156, 385.7173164, 414.7616732, 435.6961044, 440.7345122, 436.8617596, 1951.0000000, 437.9056804, 444.9364336, 443.6281349, 424.1734225, 393.1507496, 368.5429906, 366.2103747, 386.9629909, 416.4581918, 437.4424606, 442.0539268, 437.4357242, 1952.0000000, 437.6384485, 443.8915648, 442.0418895, 422.4363142, 391.6507878, 367.5309464, 365.8302505, 387.3422601, 417.6420993, 439.2238361, 443.9742227, 439.0133786, 1953.0000000, 438.5499023, 443.9629949, 441.2682297, 421.0405297, 389.9968316, 365.9501442, 364.5690745, 386.6586469, 417.8118198, 440.3398156, 445.7863062, 441.0514737, 1954.0000000, 440.3617685, 445.1789054, 441.6264247, 420.5079943, 388.7832621, 364.3519110, 362.8482486, 385.1122224, 416.8566011, 440.3595781, 446.8551692, 442.8855346, 1955.0000000, 442.5252651, 447.2074987, 443.0597746, 421.0463136, 388.4075789, 363.2324826, 361.1842977, 383.1471895, 415.0195700, 439.2163414, 446.8055174, 443.9462878, 1956.0000000, 444.4226012, 449.5143252, 445.2284719, 422.5662947, 389.0154742, 362.9194538, 360.0349158, 381.2880653, 412.7749258, 437.1801154, 445.6034854, 443.9107726, 1957.0000000, 445.5376543, 451.5171463, 447.6224431, 424.7387949, 390.4994787, 363.5134133, 359.6827059, 379.9700969, 410.6369550, 434.7041452, 443.4925831, 442.7402843, 1958.0000000, 445.5691369, 452.7363024, 449.7144715, 427.1248048, 392.5929587, 364.9423520, 360.2483208, 379.5036781, 409.0720703, 432.3089883, 440.8944622, 440.6295221, 1959.0000000, 444.4338744, 452.8332118, 451.0074547, 429.2120815, 394.8902122, 366.9666004, 361.6797937, 380.0445151, 408.4480309, 430.5158514, 438.3526544, 437.9972684, 1960.0000000, 442.3170082, 451.7078983, 451.1440842, 430.5015143, 396.8924892, 369.1884478, 363.7346826, 381.5495259, 408.9593202, 429.7459357, 436.4267722, 435.4051297, 1961.0000000, 439.6493129, 449.5500416, 450.0169053, 430.6322454, 398.1078814, 371.1083320, 365.9915347, 383.7497552, 410.5671642, 430.2320147, 435.5859552, 433.4544951, 1962.0000000, 437.0363307, 446.8311218, 447.8349089, 429.5000477, 398.1761463, 372.2199101, 367.8984929, 386.1454814, 412.9420917, 431.9199630, 436.0839512, 432.6567604, 1963.0000000, 435.1501055, 444.2544882, 445.1659648, 427.3925143, 397.0566473, 372.1980506, 368.9217102, 388.0861589, 415.4530092, 434.3625691, 437.7749090, 433.1941875, 1964.0000000, 434.4637062, 442.5019053, 442.7560202, 424.9369345, 395.1178565, 371.0997569, 368.8108142, 389.0482722, 417.4020496, 436.8619255, 440.1431097, 434.8428339, 1965.0000000, 435.0759800, 441.9782824, 441.2360744, 422.8392171, 392.9749864, 369.3325545, 367.6975610, 388.8418270, 418.2850222, 438.7141227, 442.4744040, 437.0460892, 1966.0000000, 436.6848816, 442.6845899, 440.9080923, 421.6239091, 391.2434339, 367.4762269, 366.0262606, 387.6757198, 417.9874500, 439.4820912, 444.1315353, 439.1369721, 1967.0000000, 438.7303636, 444.2660516, 441.6879756, 421.4796135, 390.3181171, 366.0394297, 364.3333689, 386.0130558, 416.7660786, 439.1138020, 444.7639318, 440.5778957, 1968.0000000, 440.6204258, 446.1962444, 443.2220247, 422.2885742, 390.3134551, 365.3226350, 363.0523230, 384.3516003, 415.0634023, 437.8512914, 444.3295130, 441.0669902, 1969.0000000, 441.8837061, 447.9456793, 445.0450655, 423.7507720, 391.1376823, 365.4346201, 362.4703026, 383.1246693, 413.3785730, 436.1180725, 443.0388090, 440.5457070, 1970.0000000, 442.2191687, 449.0481948, 446.6425620, 425.4289296, 392.5144654, 366.2883445, 362.6930725, 382.6303630, 412.1665009, 434.4207459, 441.3030294, 439.2152593, 1971.0000000, 441.5758808, 449.2196278, 447.5763555, 426.8536566, 394.0549553, 367.6387768, 363.6491098, 382.9954788, 411.7578193, 433.2350410, 439.6168500, 437.4547771, 1972.0000000, 440.1255225, 448.3823889, 447.5407673, 427.5838522, 395.3034304, 369.1079028, 365.0950243, 384.1625674, 412.3252587, 432.9555021, 438.5080803, 435.7930140, 1973.0000000, 438.2768485, 446.7293278, 446.4609596, 427.3075416, 395.8108703, 370.2175655, 366.6050068, 385.8367166, 413.7924507, 433.7764608, 438.4111323, 434.8042375, 1974.0000000, 436.6229247, 444.7469294, 444.5975083, 425.9999978, 395.2990380, 370.5199176, 367.6471653, 387.4944008, 415.7678629, 435.5599126, 439.4914703, 434.9162073, 1975.0000000, 435.7640808, 443.0918298, 442.5155573, 423.9992904, 393.8179124, 369.7933089, 367.7764891, 388.5367344, 417.6248610, 437.8227697, 441.5457374, 436.2469741, 1976.0000000, 436.1076629, 442.3851577, 440.9202513, 421.9293292, 391.7763377, 368.1676122, 366.8249420, 388.5029107, 418.6805907, 439.8278720, 443.9829267, 438.4851838, 1977.0000000, 437.6669766, 442.9550024, 440.3853311, 420.4740136, 389.8145133, 366.1234644, 365.0353521, 387.3268602, 418.5273527, 440.9059623, 446.0591821, 441.0020709, 1978.0000000, 440.0463468, 444.6996907, 441.1125502, 420.0754871, 388.5000670, 364.2401054, 362.9049942, 385.3185391, 417.1705280, 440.7136456, 447.1755958, 443.1167648, 1979.0000000, 442.6391367, 447.2009280, 442.9471943, 420.8528327, 388.1697200, 362.9913326, 360.9709927, 382.9861710, 414.9493202, 439.2848694, 447.0314875, 444.2933199, 1980.0000000, 444.8194763, 449.8825590, 445.4842544, 422.6429963, 388.9019397, 362.6551939, 359.6672513, 380.8642377, 412.3844170, 436.9596273, 445.6620081, 444.2561402, 1981.0000000, 446.0894338, 452.1514048, 448.1799630, 425.0701368, 390.5401685, 363.2892129, 359.2464239, 379.3798693, 410.0123118, 434.2429836, 443.3768693, 443.0261307, 1982.0000000, 446.1868377, 453.5403424, 450.4938282, 427.6629746, 392.7753126, 364.7762495, 359.7871189, 378.8119382, 408.2886614, 431.6730280, 440.6389222, 440.8497079, 1983.0000000, 445.0741861, 453.7396655, 451.9355675, 429.8956735, 395.1737423, 366.8407884, 361.1984362, 379.2805042, 407.5592658, 429.7731509, 438.0229683, 438.1966932, 1984.0000000, 442.9953596, 452.7014464, 452.1812562, 431.2779409, 397.2226914, 369.0533943, 363.1935374, 380.6901343, 407.9680102, 428.9303678, 436.0821792, 435.6536906, 1985.0000000, 440.4300209, 450.6765186, 451.1812321, 431.4890922, 398.4459152, 370.9055658, 365.3190197, 382.7196409, 409.4116976, 429.3178310, 435.2478808, 433.8172305, 1986.0000000, 438.0141856, 448.1972813, 449.2230717, 430.5027380, 398.5437645, 371.9248295, 367.0246133, 384.8346329, 411.4909651, 430.7896724, 435.6847480, 433.1323865, 1987.0000000, 436.3890097, 445.9772786, 446.9240774, 428.6831861, 397.5615660, 371.8643441, 367.8338006, 386.4063195, 413.5501196, 432.8276920, 437.1474241, 433.6798221, 1988.0000000, 435.9447648, 444.6495836, 445.0258735, 426.6985333, 395.9439099, 370.8780267, 367.5992913, 387.0019782, 414.9415343, 434.7233649, 439.0498769, 435.1265994, 1989.0000000, 436.6573290, 444.5039915, 444.0729753, 425.2121331, 394.3122251, 369.4253757, 366.5447569, 386.5511309, 415.2804594, 435.8531474, 440.6946749, 436.8714141, 1990.0000000, 438.1363509, 445.4309161, 444.2577488, 424.6611169, 393.2303680, 368.0770797, 365.1526597, 385.3504031, 414.5774365, 435.9064839, 441.5300271, 438.2695482, 1991.0000000, 439.7834935, 446.9927117, 445.3911264, 425.1303112, 393.0077685, 367.2842716, 363.9377973, 383.8887564, 413.1696109, 434.9506878, 441.3239117, 438.8626379, 1992.0000000, 441.0306835, 448.6345143, 447.0542087, 426.4214973, 393.6811778, 367.2825189, 363.2882215, 382.6499722, 411.5331605, 433.3120043, 440.1453505, 438.4490072, 1993.0000000, 441.4661149, 449.8339382, 448.7420701, 428.1670728, 395.0834834, 368.1095199, 363.4292955, 382.0229364, 410.1559087, 431.4522210, 438.2892782, 437.0732516, 1994.0000000, 440.8766676, 450.1714521, 449.9368232, 429.8884309, 396.8804788, 369.6187646, 364.4118673, 382.2597133, 409.4669449, 429.8887527, 436.2239475, 435.0292642, 1995.0000000, 439.3110579, 449.4365679, 450.2244464, 431.0901295, 398.6256549, 371.4961778, 366.0951018, 383.4227391, 409.7460554, 429.0758182, 434.4670409, 432.7653785, 1996.0000000, 437.0417253, 447.6538606, 449.3680300, 431.3472276, 399.8330189, 373.3063951, 368.1671153, 385.3850431, 411.1039044, 429.3650007, 433.5392169, 430.8513337, 1997.0000000, 434.5651623, 445.1316568, 447.3992852, 430.4088890, 400.0568347, 374.5281814, 370.1306255, 387.7653173, 413.3747376, 430.8714082, 433.8215092, 429.8513653, 1998.0000000, 432.5193731, 442.4549689, 444.7056816, 428.3635340, 399.0847005, 374.7237319, 371.4166222, 389.9694924, 416.0766294, 433.3610505, 435.3940799, 430.1353547, 1999.0000000, 431.4920757, 440.3256701, 441.9524055, 425.6750980, 397.0783966, 373.7418093, 371.5998281, 391.3693046, 418.5135606, 436.2552380, 437.9451541, 431.7162345, 2000.0000000, 431.8071837, 439.3257270, 439.8657807, 423.0448115, 394.5536229, 371.8163983, 370.5915656, 391.5474422, 420.0074097, 438.7859080, 440.8222623, 434.1979515, 2001.0000000, 433.3822920, 439.6961442, 438.9667209, 421.1550422, 392.1967811, 369.5033259, 368.7176400, 390.5111543, 420.2022134, 440.3070768, 443.2744124, 436.9123158, 2002.0000000, 435.7525455, 441.2460180, 439.3686850, 420.3854980, 390.5531487, 367.3982563, 366.5211562, 388.6332970, 419.1704229, 440.5375027, 444.7514397, 439.2057435, 2003.0000000, 438.3079419, 443.5208091, 440.8573690, 420.7918637, 389.9110747, 365.9510463, 364.5395601, 386.4419196, 417.2843590, 439.5532487, 445.0016661, 440.5879741, 2004.0000000, 440.4523345, 445.9464792, 443.0002678, 422.1645398, 390.3003376, 365.4013164, 363.1832252, 384.4628263, 415.0693464, 437.7132219, 444.0942890, 440.8312979, 2005.0000000, 441.7386905, 447.9688513, 445.2677892, 424.1158667, 391.5365935, 365.7751874, 362.6781866, 383.1046261, 413.0510285, 435.5194787, 442.3482681, 439.9825103, 2006.0000000, 441.9448193, 449.1621063, 447.1448481, 426.1745482, 393.2894084, 366.9238385, 363.0700005, 382.6174020, 411.6639991, 433.4962791, 440.2245834, 438.3055139, 2007.0000000, 441.0735642, 449.2711752, 448.1907461, 427.8412980, 395.1241332, 368.5508204, 364.2378631, 383.0903642, 411.2266211, 432.1461696, 438.2851249, 436.2723443, 2008.0000000, 439.3933697, 448.2952460, 448.1368786, 428.6663719, 396.5388587, 370.2078430, 365.8540526, 384.3770470, 411.8336827, 431.8166983, 437.0580718, 434.4630110, 2009.0000000, 437.4041541, 446.5383165, 447.0122254, 428.4087306, 397.1111636, 371.4013799, 367.4425650, 386.1037666, 413.3130541, 432.6117485, 436.9171545, 433.4354918, 2010.0000000, 435.7310254, 444.5612356, 445.1758083, 427.1392007, 396.6327222, 371.7173142, 368.4653438, 387.6991338, 415.1874127, 434.2858940, 437.9261618, 433.5480995, 2011.0000000, 434.9536707, 443.0562617, 443.2790222, 425.3109675, 395.2691729, 371.0280291, 368.5354783, 388.5726300, 416.7765785, 436.2426702, 439.7307157, 434.7630892, 2012.0000000, 435.3492167, 442.5649376, 442.0160037, 423.6065846, 393.5405251, 369.6038173, 367.6349736, 388.4010848, 417.4910088, 437.7627621, 441.6739439, 436.6380302, 2013.0000000, 436.7636746, 443.2429500, 441.8165299, 422.6213610, 392.0640001, 367.9643073, 366.1003530, 387.2568952, 417.0809767, 438.3108128, 443.0814205, 438.5350009, 2014.0000000, 438.7249092, 444.8676563, 442.7470579, 422.6793409, 391.3277729, 366.6567873, 364.4489294, 385.5272021, 415.6814185, 437.6944367, 443.4778157, 439.8325315, 2015.0000000, 440.6098483, 446.9376179, 444.5280210, 423.7660611, 391.5532025, 366.0724313, 363.1771597, 383.7351650, 413.7153560, 436.0945750, 442.7354131, 440.1409560, 2016.0000000, 441.8757737, 448.8828022, 446.6926919, 425.6153588, 392.7034712, 366.3806470, 362.6260711, 382.3501595, 411.6885102, 433.9067065, 441.0080773, 439.3304567, 2017.0000000, 442.1529626, 450.1883551, 448.7124857, 427.8142962, 394.5560618, 367.5632891, 362.9729393, 381.7316626, 410.0923397, 431.6360556, 438.6627427, 437.5228375, 2018.0000000, 441.2896526, 450.4677897, 450.0711365, 429.8600180, 396.7370217, 369.4278042, 364.2222334, 382.0927572, 409.3368161, 429.8124596, 436.2118152, 435.0734964, 2019.0000000, 439.3948154, 449.5523096, 450.3666086, 431.2398711, 398.7628367, 371.6134252, 366.1834909, 383.4499422, 409.6701748, 428.8863925, 434.2037346, 432.4916329, 2020.0000000, 436.8165439, 447.5385402, 449.4113729, 431.5450521, 400.1328704, 373.6482560, 368.4942972, 385.6182346, 411.1482672, 429.1721344, 433.1519479, 430.3740082, 2021.0000000, 434.1083486, 444.8083571, 447.3068890, 430.5710517, 400.4150341, 374.9938250, 370.6146641, 388.1538232, 413.5321827, 430.7165341, 433.3928792, 429.2756797, 2022.0000000, 431.9392727, 442.0143484, 444.5310239, 428.4963662, 399.4655379, 375.2487013, 371.9767883, 390.4279601, 416.2718513, 433.1963372, 434.9149656, 429.4935859, 2023.0000000, 430.8560727, 439.8591405, 441.7923372, 425.8598075, 397.5322182, 374.3402777, 372.2140530, 391.8395713, 418.6569604, 435.9742670, 437.3170341, 430.9388695, 2024.0000000, 431.0879460, 438.8542508, 439.7870190, 423.3786497, 395.1863981, 372.5848260, 371.3335675, 392.0657823, 420.0813768, 438.3109125, 439.9219699, 433.1457251, 2025.0000000, 432.4530033, 439.1298910, 438.9356038, 421.6653439, 393.0858725, 370.5517893, 369.7139813, 391.2004516, 420.2931997, 439.6550835, 442.0361411, 435.4529626, 2026.0000000, 434.4456619, 440.4175844, 439.2546149, 421.0056551, 391.7034637, 368.7959320, 367.8952756, 389.6571255, 419.4508564, 439.8376374, 443.2165664, 437.2806773, 2027.0000000, 436.4825540, 442.2406516, 440.4676943, 421.3712377, 391.2409588, 367.6915479, 366.3591209, 387.9396731, 417.9466046, 439.0028701, 443.3095733, 438.2362914, 2028.0000000, 438.0394200, 444.0564178, 442.1305212, 422.5074935, 391.6660771, 367.4124918, 365.4548052, 386.5268709, 416.2888721, 437.5370770, 442.4558736, 438.1877678, 2029.0000000, 438.7617596, 445.3761325, 443.7369688, 424.0087847, 392.7477842, 367.9236976, 365.3420756, 385.7635965, 414.9548425, 435.9271884, 441.0041139, 437.2517087, 2030.0000000, 438.5177890, 445.8585024, 444.8254947, 425.4146844, 394.1298948, 369.0279579, 366.0069751, 385.8376212, 414.3243212, 434.6660157, 439.4228435, 435.7444729, 2031.0000000, 437.3991529, 445.3512045, 445.0404274, 426.2682394, 395.3726810, 370.3876497, 367.2647955, 386.7621817, 414.6396865, 434.1946407, 438.2442098, 434.1530463, 2032.0000000, 435.7370758, 443.9531140, 444.2209114, 426.1995926, 396.0051106, 371.5363482, 368.7314631, 388.3099329, 415.9070054, 434.7829991, 437.9460705, 433.0474377, 2033.0000000, 434.0723293, 442.0617483, 442.5243356, 425.0933651, 395.6902759, 372.0077277, 369.8991511, 390.0254625, 417.8406615, 436.4140485, 438.7975377, 432.9152570, 2034.0000000, 433.0083461, 440.2782004, 440.4119854, 423.1594882, 394.3540531, 371.4810585, 370.2627680, 391.3032558, 419.8706181, 438.7160881, 440.7310710, 434.0006150, 2035.0000000, 433.0441702, 439.2652792, 438.5737728, 420.9560540, 392.3063105, 369.9736647, 369.5467536, 391.6021074, 421.2886398, 440.9978967, 443.2608115, 436.1246386, 2036.0000000, 434.3224396, 439.4540082, 437.6418853, 419.1723493, 390.1424993, 367.8801961, 367.8759393, 390.7229347, 421.5729557, 442.5346137, 445.6633583, 438.7422591, 2037.0000000, 436.5680279, 440.8744699, 437.9366711, 418.3361812, 388.4720168, 365.7746163, 365.6935459, 388.8730006, 420.5964941, 442.8623091, 447.2734605, 441.1735251, 2038.0000000, 439.2314123, 443.2019167, 439.4115176, 418.6683072, 387.7121142, 364.1812923, 363.5485187, 386.5227488, 418.6057484, 441.8890291, 447.6750436, 442.8125479, 2039.0000000, 441.6712709, 445.8908881, 441.7224562, 420.0798928, 388.0153730, 363.4442655, 361.9258955, 384.2296219, 416.0996353, 439.8861150, 446.8122711, 443.3075429, 2040.0000000, 443.3511668, 448.3518483, 444.3622936, 422.2491104, 389.2835061, 363.6766894, 361.1275459, 382.4546724, 413.6151662, 437.3117701, 444.9075941, 442.5810408, 2041.0000000, 443.9309462, 450.0781413, 446.7919658, 424.7367547, 391.2562671, 364.8179129, 361.2923935, 381.5356909, 411.6529470, 434.7126286, 442.3867580, 440.8095415, 2042.0000000, 443.2967132, 450.7024275, 448.4964820, 427.0241401, 393.5283873, 366.6323869, 362.3766365, 381.6433179, 410.6017001, 432.6307653, 439.8021096, 438.4004389, 2043.0000000, 441.6067791, 450.0947377, 449.0982464, 428.6061106, 395.6055050, 368.7311899, 364.1482145, 382.7472295, 410.6728419, 431.5051555, 437.7236735, 435.9085487, 2044.0000000, 439.2660486, 448.4084808, 448.4579276, 429.1056868, 396.9964053, 370.6266279, 366.2033990, 384.5996725, 411.8515177, 431.5944626, 436.6405998, 433.9407851, 2045.0000000, 436.8652472, 446.0816786, 446.7434388, 428.3844291, 397.3220309, 371.8084776, 367.9967731, 386.7141443, 413.8260881, 432.8648323, 436.8259983, 433.0203194, 2046.0000000, 435.0745142, 443.7984114, 444.4903741, 426.6971152, 396.5204835, 371.9464195, 369.0037879, 388.4594774, 415.9914359, 434.8967025, 438.1597272, 433.3496290, 2047.0000000, 434.3745892, 442.2297231, 442.4142185, 424.6288187, 394.9194041, 371.0680516, 368.9598478, 389.3138260, 417.6638361, 437.0152362, 440.1539108, 434.7331838, 2048.0000000, 434.8898586, 441.7972391, 441.1484119, 422.8727627, 393.1116312, 369.5567915, 367.9776324, 389.0769244, 418.3391084, 438.5239522, 442.1054350, 436.6271625, 2049.0000000, 436.3317400, 442.5144238, 441.0030568, 421.9540405, 391.7052489, 367.9806699, 366.4900494, 387.9513048, 417.9034846, 438.9919419, 443.3844770, 438.3700532, 2050.0000000, 438.1435677, 444.0288057, 441.8955527, 422.0607321, 391.0915800, 366.8423894, 365.0273335, 386.3970395, 416.6175938, 438.3781959, 443.6537485, 439.4344284, 2051.0000000, 439.7382452, 445.8147026, 443.4710641, 423.0737134, 391.3838172, 366.4405812, 364.0206450, 384.9103623, 414.9259578, 436.9315326, 442.8798727, 439.5232253, 2052.0000000, 440.6412452, 447.3315600, 445.2489842, 424.6787107, 392.4806995, 366.8802360, 363.7581225, 383.9306683, 413.3405277, 435.0966475, 441.3002331, 438.6033376, 2053.0000000, 440.5684324, 448.1163038, 446.7042647, 426.4200362, 394.0869495, 368.0587001, 364.3340955, 383.7485262, 412.3135098, 433.3842466, 439.3382021, 436.8941976, 2054.0000000, 439.4862830, 447.8940496, 447.3957097, 427.8155647, 395.7982849, 369.7187488, 365.6707286, 384.4904985, 412.1802232, 432.2795394, 437.5037207, 434.7948067, 2055.0000000, 437.5867307, 446.6002265, 447.0167004, 428.4091774, 397.1367376, 371.4612560, 367.5098969, 386.0930303, 413.1152107, 432.1840652, 436.3360676, 432.8509981, 2056.0000000, 435.3000860, 444.4481825, 445.5026045, 427.8824747, 397.6322961, 372.7811737, 369.4026187, 388.2480469, 415.0408037, 433.2992545, 436.2800566, 431.6492802, 2057.0000000, 433.2350236, 441.9431718, 443.1297807, 426.2140964, 396.9938631, 373.2066401, 370.7913320, 390.4158416, 417.5659718, 435.5018465, 437.5214003, 431.6359913, 2058.0000000, 432.0084519, 439.7570296, 440.4743642, 423.7414288, 395.2531045, 372.4805359, 371.1857855, 391.9562757, 420.0431507, 438.3159279, 439.8836260, 432.9636628, 2059.0000000, 432.0627582, 438.5460885, 438.2751286, 421.1143742, 392.8278115, 370.7172432, 370.3777306, 392.3530662, 421.7400089, 440.9815952, 442.7830332, 435.3456796, 2060.0000000, 433.4411110, 438.6679366, 437.1347429, 419.0441809, 390.3781379, 368.4004956, 368.5871051, 391.4902858, 422.1877407, 442.7846326, 445.4655889, 438.1736652, 2061.0000000, 435.7844505, 440.0621180, 437.2954415, 418.0111840, 388.5046769, 366.1312272, 366.3121698, 389.6472528, 421.3308371, 443.3145805, 447.2884086, 440.7585054, 2062.0000000, 438.5044948, 442.3421264, 438.6383167, 418.1702319, 387.5792264, 364.4154889, 364.1116940, 387.3307652, 419.4726609, 442.5432015, 447.8929825, 442.5331045, 2063.0000000, 440.9751350, 444.9516011, 440.7854594, 419.3853081, 387.7066518, 363.5587825, 362.4469317, 385.0924694, 417.1256095, 440.7721916, 447.2623250, 443.1842350, 2064.0000000, 442.6891967, 447.3140143, 443.2223762, 421.3095911, 388.7542941, 363.6393150, 361.5904866, 383.3749883, 414.8244303, 438.4750785, 445.6501203, 442.6759724, 2065.0000000, 443.3506419, 448.9599124, 445.4305669, 423.5035173, 390.4441221, 364.5684977, 361.6494972, 382.4863642, 413.0465310, 436.1881173, 443.4870719, 441.2050410, 2066.0000000, 442.8776700, 449.5579756, 446.9232884, 425.4590846, 392.3621967, 366.0874604, 362.5490703, 382.5645999, 412.1553926, 434.4408872, 441.3293756, 439.1997686, 2067.0000000, 441.4664310, 449.0280296, 447.3725341, 426.7055071, 394.0243777, 367.7936406, 364.0245549, 383.5361507, 412.3177383, 433.6372994, 439.7290121, 437.2184186, 2068.0000000, 439.5479941, 447.5709294, 446.6982530, 426.9194679, 394.9707130, 369.2005067, 365.6437298, 385.0999687, 413.4529728, 433.9746731, 439.1330832, 435.8526260, 2069.0000000, 437.7283557, 445.6732640, 445.1464132, 426.0532567, 394.9014672, 369.8463742, 366.8687546, 386.7324314, 415.1740294, 435.3253396, 439.7263161, 435.5590820, 2070.0000000, 436.6418772, 444.0222228, 443.3001866, 424.4469692, 393.8570536, 369.4951373, 367.2386251, 387.8162829, 416.8299375, 437.1749076, 441.2720314, 436.4283541, 2071.0000000, 436.6792425, 443.2337666, 441.8682196, 422.7333257, 392.2596504, 368.2967243, 366.6151509, 387.9301901, 417.7799774, 438.8179258, 443.1910997, 438.1415148, 2072.0000000, 437.8327815, 443.6068302, 441.3901974, 421.5601343, 390.7151643, 366.7040520, 365.2256820, 387.0110894, 417.6396653, 439.6196623, 444.7699029, 440.0858982, 2073.0000000, 439.7092966, 445.0330308, 442.0564316, 421.3562917, 389.7774365, 365.2836347, 363.5597762, 385.3736463, 416.4385746, 439.2764944, 445.4494283, 441.6051964, 2074.0000000, 441.7035920, 447.0745354, 443.6798031, 422.2047750, 389.7488853, 364.4790853, 362.1310999, 383.5162310, 414.5300847, 437.8671926, 444.9949431, 442.2274029, 2075.0000000, 443.2332846, 449.1693163, 445.8420978, 423.9110260, 390.6679144, 364.5251508, 361.3283858, 381.9299206, 412.4048597, 435.7316142, 443.4770630, 441.7369840, 2076.0000000, 443.8647440, 450.7761269, 448.0299459, 426.1086989, 392.3731906, 365.4661449, 361.3851207, 381.0167115, 410.5723390, 433.3574359, 441.2082196, 440.1778379, 2077.0000000, 443.3668330, 451.4502933, 449.7043538, 428.3078096, 394.5269296, 367.1551718, 362.3524018, 381.0314322, 409.4708284, 431.2781812, 438.6728177, 437.8487459, 2078.0000000, 441.7776008, 450.9595374, 450.4304418, 430.0031025, 396.6855354, 369.2891662, 364.1037212, 382.0524088, 409.3984729, 429.9700572, 436.4097369, 435.2093508, 2079.0000000, 439.3610800, 449.2998758, 449.9324400, 430.7360894, 398.3447856, 371.4296102, 366.3342324, 383.9657474, 410.4841816, 429.8089208, 434.9675868, 432.8538909, 2080.0000000, 436.6252395, 446.7701600, 448.2137448, 430.2222602, 399.0340448, 373.0450592, 368.5496850, 386.4025742, 412.5800150, 430.9307223, 434.7514881, 431.3696765, 2081.0000000, 434.2231186, 443.9531754, 445.6385981, 428.5128814, 398.5047432, 373.6746918, 370.1752177, 388.7787857, 415.2249410, 433.1280245, 435.8688941, 431.1541196, 2082.0000000, 432.7654636, 441.5615326, 442.8616640, 426.0396471, 396.8756233, 373.1280112, 370.7616321, 390.4629684, 417.7392552, 435.8498008, 438.0414673, 432.2544220, 2083.0000000, 432.6092150, 440.2036637, 440.6206710, 423.4932282, 394.6318548, 371.5990888, 370.1828409, 391.0134052, 419.4397864, 438.3405408, 440.6378882, 434.2979751, 2084.0000000, 433.6949119, 440.1408446, 439.4490504, 421.5545657, 392.4419324, 369.6123929, 368.7284038, 390.4082179, 419.9606590, 439.9690118, 442.9386040, 436.6534379, 2085.0000000, 435.5929393, 441.2127048, 439.4825416, 420.6127644, 390.8437783, 367.7392576, 366.9022404, 388.9742891, 419.3375196, 440.4388209, 444.4024671, 438.6913737, 2086.0000000, 437.7233488, 442.9946434, 440.5326384, 420.7417711, 390.1336569, 366.4243393, 365.2226184, 387.2090869, 417.9091598, 439.8049857, 444.7779098, 439.9403177, 2087.0000000, 439.5182254, 444.9412447, 442.1896336, 421.7462623, 390.3465105, 365.9031939, 364.0853239, 385.6123375, 416.1680170, 438.3983665, 444.1246800, 440.1854786, 2088.0000000, 440.5593027, 446.5325037, 443.9535899, 423.2579236, 391.3061808, 366.2003224, 363.7054059, 384.5704833, 414.6068860, 436.6858114, 442.7377239, 439.4708147, 2089.0000000, 440.6434013, 447.3761809, 445.3462650, 424.8353666, 392.7009622, 367.1752102, 364.1280768, 384.3243668, 413.6405334, 435.1635138, 441.0507780, 438.0452664, 2090.0000000, 439.7768609, 447.2376492, 445.9550547, 426.0031856, 394.1089769, 368.5333996, 365.2263062, 384.9503539, 413.5683510, 434.3095038, 439.6006227, 436.3641694, 2091.0000000, 438.2288927, 446.1385646, 445.5499961, 426.3528656, 395.0598943, 369.8435401, 366.6758743, 386.2949422, 414.4694539, 434.4482352, 438.8861251, 434.9767038, 2092.0000000, 436.4760831, 444.3761901, 444.1735577, 425.6706792, 395.1597806, 370.6320406, 368.0089656, 387.9829967, 416.1650853, 435.6741496, 439.2681970, 434.4243646, 2093.0000000, 435.1265494, 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