# 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 : -14 # 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, 463.6695167, 451.2891934, 427.3528548, 389.8310663, 347.6039476, 318.3938673, 320.0690226, 355.8453495, 407.9614569, 450.6419359, 469.3577743, 468.9882318, -2998.0000000, 462.0989096, 450.7476457, 427.8500851, 391.0934770, 349.2151396, 320.0030765, 321.4571826, 356.7660166, 408.0488848, 449.6570881, 467.4734770, 466.7097642, -2997.0000000, 459.9789109, 449.2373432, 427.2224664, 391.3584835, 350.1517829, 321.3304002, 322.9729653, 358.2610500, 409.1399528, 449.9024692, 466.6995350, 465.1205536, -2996.0000000, 457.9821459, 447.2905102, 425.7458830, 390.6115188, 350.1615904, 321.9724756, 324.1280500, 359.8214012, 410.8235283, 451.2135492, 467.1996713, 464.6805797, -2995.0000000, 456.7560117, 445.5953505, 423.9912580, 389.1870825, 349.3052173, 321.7455241, 324.5331842, 360.8890916, 412.4705278, 453.0674770, 468.7232860, 465.4761840, -2994.0000000, 456.6900959, 444.7475084, 422.6164794, 387.6515402, 347.9492634, 320.7756916, 324.0632584, 361.0722854, 413.4547784, 454.7496925, 470.6746256, 467.1818521, -2993.0000000, 457.7821383, 445.0448598, 422.1316960, 386.5925929, 346.6259594, 319.4524273, 322.9125312, 360.3047191, 413.3930474, 455.6100276, 472.3119782, 469.1607382, -2992.0000000, 459.6300542, 446.3775683, 422.7092000, 386.3888832, 345.8104446, 318.2527655, 321.4957343, 358.8589718, 412.2982966, 455.3335504, 473.0627486, 470.7495623, -2991.0000000, 461.6425501, 448.3429042, 424.1954074, 387.1290216, 345.7725984, 317.5556754, 320.2487478, 357.1654118, 410.4714819, 453.9492162, 472.6389618, 471.4304349, -2990.0000000, 463.2181111, 450.3987949, 426.2187417, 388.6639696, 346.5737871, 317.5894163, 319.5340696, 355.6899862, 408.3900252, 451.7830560, 471.0803893, 470.9405505, -2989.0000000, 463.8781653, 451.9851984, 428.2784961, 390.6553272, 348.0750253, 318.4021501, 319.5716939, 354.8218022, 406.5679252, 449.3399992, 468.7105767, 469.3171511, -2988.0000000, 463.3753012, 452.6540868, 429.8595421, 392.6548792, 349.9788158, 319.8709541, 320.4163519, 354.8106800, 405.4490552, 447.1728536, 466.0293589, 466.8551502, -2987.0000000, 461.7242364, 452.1513123, 430.5295602, 394.1874001, 351.8850515, 321.7324755, 321.9666697, 355.7522972, 405.3614892, 445.8105313, 463.6390694, 464.0648643, -2986.0000000, 459.2113982, 450.4727410, 430.0132802, 394.8105080, 353.3186874, 323.5772931, 323.9306313, 357.5260916, 406.4285368, 445.6489876, 462.1378098, 461.6026637, -2985.0000000, 456.3970948, 447.9522312, 428.3466683, 394.2866429, 353.8716287, 324.9388980, 325.8592239, 359.7726891, 408.4869336, 446.8137125, 461.9422973, 460.0841216, -2984.0000000, 453.9587196, 445.1780146, 425.8914434, 392.6815484, 353.3400217, 325.4254482, 327.2466212, 361.9461976, 411.0774756, 449.0864952, 463.1628049, 459.9279876, -2983.0000000, 452.5318315, 442.8681763, 423.2853740, 390.4092974, 351.8476158, 324.8831005, 327.6987636, 363.4547088, 413.5182134, 451.8828684, 465.4845499, 461.1611499, -2982.0000000, 452.4646387, 441.6119163, 421.2235814, 388.1071448, 349.8405568, 323.5022782, 327.1262913, 363.9086890, 415.1548265, 454.4397437, 468.2508061, 463.3881278, -2981.0000000, 453.6821508, 441.6454707, 420.1830520, 386.3672731, 347.8866456, 321.7226766, 325.7730221, 363.2800772, 415.6272186, 456.1206088, 470.7297215, 465.9751071, -2980.0000000, 455.7722605, 442.8360928, 420.3098005, 385.5511874, 346.4592582, 320.0313928, 324.0655082, 361.8421292, 414.9295658, 456.5796372, 472.3226155, 468.2451291, -2979.0000000, 458.1375102, 444.7754731, 421.4442805, 385.7465285, 345.8382400, 318.8297026, 322.4708868, 360.0569864, 413.3826822, 455.8485096, 472.7361268, 469.6778439, -2978.0000000, 460.1776086, 446.9195621, 423.2041297, 386.7862283, 346.0666083, 318.3333785, 321.3465066, 358.3892399, 411.4582683, 454.2386705, 471.9950194, 470.0098031, -2977.0000000, 461.4336899, 448.7409439, 425.1200261, 388.3517997, 347.0132341, 318.5918572, 320.9121247, 357.2261983, 409.6599986, 452.2271389, 470.3805701, 469.2392057, -2976.0000000, 461.6397405, 449.7982127, 426.7000387, 390.0208961, 348.4001934, 319.4950044, 321.2327747, 356.8294018, 408.4428917, 450.3686092, 468.3786615, 467.6368010, -2975.0000000, 460.7900093, 449.8307814, 427.5186674, 391.3285240, 349.8312145, 320.7735743, 322.1935081, 357.2775029, 408.1189974, 449.1770968, 466.5751230, 465.6971552, -2974.0000000, 459.1665658, 448.8531652, 427.3438520, 391.8871464, 350.8791823, 322.0475570, 323.5109505, 358.4399136, 408.7871847, 449.0138273, 465.5235822, 464.0233618, -2973.0000000, 457.2756733, 447.1605308, 426.2028088, 391.4807898, 351.1732926, 322.8857173, 324.7579914, 359.9610606, 410.2722939, 449.9859520, 465.6231682, 463.2144607, -2972.0000000, 455.7794072, 445.3334409, 424.4679463, 390.2093925, 350.5599470, 322.9468265, 325.4639693, 361.2999297, 412.0807740, 451.8089335, 466.9045529, 463.6112781, -2971.0000000, 455.2440441, 444.0368059, 422.7521345, 388.5011578, 349.2155808, 322.1556742, 325.3216123, 361.9373835, 413.5636119, 453.8795963, 468.9946067, 465.1625644, -2970.0000000, 455.9325359, 443.7750726, 421.6779582, 386.9495817, 347.5841676, 320.7440297, 324.3195594, 361.5816942, 414.1513202, 455.4736799, 471.2230961, 467.4243764, -2969.0000000, 457.7047908, 444.7132825, 421.6530309, 386.0899334, 346.2016897, 319.1547830, 322.7453077, 360.2860384, 413.5771765, 456.0166224, 472.8619962, 469.7161980, -2968.0000000, 460.0746686, 446.6367199, 422.7456414, 386.2188705, 345.4978433, 317.8616664, 321.0541083, 358.4068059, 411.9662491, 455.2982645, 473.4012308, 471.3826768, -2967.0000000, 462.4112822, 449.0703395, 424.7148566, 387.3406500, 345.6759043, 317.2039275, 319.6754463, 356.4098305, 409.6988405, 453.4513280, 472.6457250, 471.9617226, -2966.0000000, 464.1258045, 451.4486490, 427.1419922, 389.2492348, 346.7424424, 317.3655519, 318.9444265, 354.7602840, 407.2890310, 450.8726176, 470.7162426, 471.2535515, -2965.0000000, 464.7691713, 453.2065680, 429.4949435, 391.5605535, 348.5095070, 318.3492148, 319.0431990, 353.8246089, 405.2571571, 448.1109652, 468.0076665, 469.3698157, -2964.0000000, 464.1495334, 453.9215795, 431.2545486, 393.8017055, 350.6448232, 319.9941635, 319.9888855, 353.8205937, 404.0324346, 445.7352731, 465.0684423, 466.6724040, -2963.0000000, 462.3456720, 453.3825783, 432.0019972, 395.4842780, 352.7174559, 321.9964806, 321.6335642, 354.7945968, 403.9011490, 444.2570938, 462.5202018, 463.7252018, -2962.0000000, 459.7167718, 451.6566256, 431.5135982, 396.1895961, 354.2502723, 323.9251031, 323.6478091, 356.5746067, 404.9280693, 444.0235418, 460.9413891, 461.2038021, -2961.0000000, 456.8767398, 449.1507410, 429.8976863, 395.7337697, 354.8617643, 325.3132374, 325.5566171, 358.7477308, 406.8710513, 445.0713977, 460.6750173, 459.6856153, -2960.0000000, 454.5094420, 446.5018460, 427.5930507, 394.2670157, 354.4213143, 325.8208771, 326.8798241, 360.7599684, 409.2206612, 447.0940780, 461.7263646, 459.4952195, -2959.0000000, 453.1881849, 444.4092846, 425.2628099, 392.2620109, 353.1275574, 325.3708882, 327.2920049, 362.0670207, 411.3011307, 449.4576312, 463.6835486, 460.5404090, -2958.0000000, 453.1475711, 443.3761632, 423.5578333, 390.3571605, 351.4669448, 324.2230331, 326.7946708, 362.3819142, 412.5476265, 451.4414894, 465.8674912, 462.3479811, -2957.0000000, 454.2034926, 443.5240068, 422.8581091, 389.0816987, 349.9845481, 322.8335888, 325.6870878, 361.7710870, 412.7189821, 452.5146640, 467.5995797, 464.2715226, -2956.0000000, 455.8764124, 444.6201444, 423.2026255, 388.7049510, 349.0895458, 321.6587190, 324.4031885, 360.5641379, 411.9188771, 452.4697302, 468.4013565, 465.6995508, -2955.0000000, 457.5706507, 446.2060121, 424.3517880, 389.2279803, 348.9850525, 321.0407328, 323.3743800, 359.2231692, 410.5208355, 451.4433398, 468.1042282, 466.2117328, -2954.0000000, 458.7331098, 447.7274829, 425.8699061, 390.4097322, 349.6392601, 321.1301512, 322.9065789, 358.1841795, 409.0108625, 449.8201090, 466.8529270, 465.6727569, -2953.0000000, 459.0014765, 448.6994006, 427.2750086, 391.8815469, 350.8554530, 321.9098260, 323.1567608, 357.7806174, 407.8641644, 448.0979857, 465.0074347, 464.1957461, -2952.0000000, 458.2220808, 448.7544379, 428.0936487, 393.1907679, 352.2978801, 323.2028057, 324.1218180, 358.2085029, 407.4854976, 446.8200428, 463.1001201, 462.1533546, -2951.0000000, 456.5193340, 447.7503398, 427.9716529, 393.8845869, 353.5356259, 324.6789632, 325.6132689, 359.4672818, 408.1121940, 446.4493151, 461.7129800, 460.0964582, -2950.0000000, 454.2836936, 445.8316909, 426.7861383, 393.6314948, 354.1388695, 325.9111733, 327.2717801, 361.3318925, 409.7423407, 447.2595139, 461.3500652, 458.6379896, -2949.0000000, 452.0982612, 443.4234371, 424.7099795, 392.3321562, 353.7965013, 326.4690150, 328.6226013, 363.3602699, 412.0875879, 449.2370461, 462.3070404, 458.3156447, -2948.0000000, 450.6253784, 441.1750064, 422.2369589, 390.2214134, 352.4614378, 326.0661918, 329.1936806, 364.9554306, 414.5526683, 451.9693227, 464.4839815, 459.3599566, -2947.0000000, 450.3634603, 439.7459366, 420.0439127, 387.8427898, 350.4400268, 324.7374531, 328.7471201, 365.6143502, 416.4460002, 454.7613347, 467.3861007, 461.5886546, -2946.0000000, 451.4555892, 439.5556015, 418.7247143, 385.8234511, 348.2569986, 322.8159674, 327.3694421, 365.1178197, 417.2256695, 456.8649056, 470.2764127, 464.4621009, -2945.0000000, 453.6514157, 440.6627378, 418.6080268, 384.6666350, 346.4681733, 320.8063559, 325.4364855, 363.6153879, 416.7043125, 457.7477220, 472.4276780, 467.2642627, -2944.0000000, 456.3993388, 442.7665617, 419.6728024, 384.5984312, 345.4677527, 319.1863919, 323.4433639, 361.5305857, 415.0832019, 457.2623724, 473.3661935, 469.3476683, -2943.0000000, 459.0486114, 445.3467306, 421.6159995, 385.5600493, 345.4113915, 318.2730223, 321.8270780, 359.3680247, 412.8058658, 455.6113972, 472.9565843, 470.2914416, -2942.0000000, 461.0288470, 447.8300966, 423.9866217, 387.2976643, 346.2560007, 318.2105411, 320.9004591, 357.5935360, 410.4109017, 453.2321020, 471.3644122, 469.9372252, -2941.0000000, 461.9236196, 449.6684671, 426.2478387, 389.4019824, 347.7768936, 318.9646021, 320.8172244, 356.5616234, 408.4291122, 450.7040720, 469.0272965, 468.4441611, -2940.0000000, 461.5879818, 450.4776601, 427.8999736, 391.3950065, 349.6159050, 320.3371264, 321.5544145, 356.4551557, 407.2692304, 448.5960861, 466.5122797, 466.2072259, -2939.0000000, 460.1446276, 450.0944156, 428.5632112, 392.8060619, 351.3347439, 321.9967521, 322.9240631, 357.2764864, 407.1815828, 447.4022722, 464.4452908, 463.8148920, -2938.0000000, 457.9968530, 448.6461742, 428.0785241, 393.2670098, 352.4786220, 323.5034562, 324.5603851, 358.7965301, 408.1658222, 447.4132526, 463.3682833, 461.9305737, -2937.0000000, 455.7733756, 446.5837270, 426.6212250, 392.6665245, 352.7221731, 324.4156395, 325.9774186, 360.5549928, 409.9043530, 448.5820644, 463.5529374, 461.0849188, -2936.0000000, 454.1420584, 444.5642193, 424.6883142, 391.2406063, 352.0257137, 324.4665227, 326.7345599, 361.9910404, 411.8286911, 450.5032440, 464.8916848, 461.4979277, -2935.0000000, 453.5931872, 443.2372479, 422.9381477, 389.5055988, 350.6684452, 323.6750703, 326.5964191, 362.6211987, 413.2708419, 452.4908613, 466.8782602, 462.9655367, -2934.0000000, 454.2507786, 443.0115834, 421.9599376, 388.0849872, 349.1722516, 322.3788212, 325.6709067, 362.2720658, 413.7514390, 453.8491757, 468.7925964, 464.9261156, -2933.0000000, 455.8168409, 443.8881513, 422.0250232, 387.4299802, 348.0486645, 321.0502705, 324.3231200, 361.1191077, 413.1552015, 454.1461112, 469.9967441, 466.7141737, -2932.0000000, 457.7487156, 445.5448915, 423.0740807, 387.7204441, 347.6422671, 320.1170326, 323.0030381, 359.5605224, 411.7001724, 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396.6357821, 350.6582653, 319.2985110, 318.7541092, 349.8135371, 397.1619319, 440.1534812, 465.1307632, 472.4992464, 1860.0000000, 471.2295058, 462.6323592, 438.4453919, 396.7672272, 349.8055441, 317.7853588, 316.8249228, 347.7270849, 395.4167755, 439.4108199, 465.7988676, 474.4539518, 1861.0000000, 473.9463106, 465.4254352, 440.6428398, 397.9437423, 349.9105770, 316.9967826, 315.3073366, 345.6282433, 393.1126793, 437.5883387, 465.1344381, 475.2102303, 1862.0000000, 475.9069625, 468.0535540, 443.2373480, 399.8898301, 350.9151719, 317.0606168, 314.4918250, 343.9545987, 390.7671802, 435.1306957, 463.3378175, 474.6442128, 1863.0000000, 476.7072771, 469.9578692, 445.6725710, 402.1810876, 352.5839550, 317.9288204, 314.5086155, 343.0226270, 388.8652628, 432.5876814, 460.8488879, 472.9357963, 1864.0000000, 476.2174697, 470.7526256, 447.4381776, 404.3333599, 354.5598170, 319.4045254, 315.3287442, 342.9941867, 387.7777693, 430.4918297, 458.2227663, 470.4920354, 1865.0000000, 474.5764639, 470.2794177, 448.1489052, 405.8729712, 356.4108020, 321.1674145, 316.7718633, 343.8660588, 387.7280960, 429.2967366, 456.0547557, 467.8906732, 1866.0000000, 472.1861193, 468.6578217, 447.6275591, 406.4155452, 357.6804399, 322.7904118, 318.4944104, 345.4328979, 388.7275367, 429.2887949, 454.8808688, 465.8014000, 1867.0000000, 469.6885284, 466.3433826, 446.0345582, 405.8227149, 358.0226679, 323.8278721, 320.0243201, 347.2635103, 390.4900402, 430.4415387, 454.9868188, 464.7754708, 1868.0000000, 467.7807840, 464.0179780, 443.8686786, 404.3055527, 357.3623550, 323.9851107, 320.9109737, 348.8107911, 392.4795570, 432.3850234, 456.2990823, 465.0759526, 1869.0000000, 467.0117776, 462.3964664, 441.8377168, 402.3957731, 355.9639504, 323.2533554, 320.8928720, 349.5800280, 394.0355297, 434.4472353, 458.3218838, 466.5150596, 1870.0000000, 467.5418479, 461.9457484, 440.5946896, 400.7620223, 354.3645157, 321.9618220, 320.0576121, 349.3778613, 394.6695502, 435.9278097, 460.3234085, 468.5167031, 1871.0000000, 469.0718184, 462.6908698, 440.4575401, 399.9057030, 353.1113209, 320.6005015, 318.7731228, 348.3745051, 394.2625906, 436.3920983, 461.6503230, 470.3824002, 1872.0000000, 471.0208243, 464.2832696, 441.3621011, 400.0181216, 352.5629631, 319.6055681, 317.4903503, 346.9628468, 393.0311075, 435.7661011, 461.9227611, 471.5283515, 1873.0000000, 472.7530867, 466.1817307, 442.9729920, 401.0114446, 352.8478003, 319.2618814, 316.6059084, 345.6049988, 391.4024407, 434.2938024, 461.0916961, 471.6148196, 1874.0000000, 473.7348745, 467.7976710, 444.7900599, 402.5728827, 353.8649558, 319.6554391, 316.3677440, 344.6942389, 389.8581430, 432.4154778, 459.4041768, 470.6099805, 1875.0000000, 473.6694837, 468.6609629, 446.3066547, 404.2893869, 355.3658158, 320.7122549, 316.8706177, 344.4993296, 388.8243549, 430.6269841, 457.2770130, 468.7164754, 1876.0000000, 472.4857851, 468.4528741, 447.0598922, 405.6938153, 356.9869012, 322.2173775, 318.0621155, 345.1541573, 388.6402330, 429.4310932, 455.2546835, 466.3672071, 1877.0000000, 470.3859093, 467.0940745, 446.7277736, 406.3391485, 358.2872372, 323.8191538, 319.7198592, 346.6089281, 389.4797985, 429.2350457, 453.9026693, 464.1469098, 1878.0000000, 467.8275327, 464.8006300, 445.2385104, 405.9184227, 358.8422945, 325.0819795, 321.4633940, 348.6019584, 391.2864893, 430.2518198, 453.6880892, 462.6773653, 1879.0000000, 465.4455941, 462.0713053, 442.8329604, 404.3780500, 358.3651905, 325.5831521, 322.8115084, 350.6696678, 393.7290535, 432.4077786, 454.8537835, 462.4788627, 1880.0000000, 463.9316902, 459.6209928, 440.0812127, 402.0167782, 356.8534647, 325.0641938, 323.3054776, 352.2133911, 396.1875358, 435.2348704, 457.2304986, 463.7323911, 1881.0000000, 463.7772831, 458.1485684, 437.7291812, 399.4521920, 354.6782834, 323.6143406, 322.7524686, 352.7634064, 397.9783696, 438.0016240, 460.2452657, 466.1659417, 1882.0000000, 465.0577270, 458.0468451, 436.3856657, 397.3517787, 352.4156515, 321.6250730, 321.3049899, 352.1735042, 398.6255921, 439.9860151, 463.1257851, 469.1573943, 1883.0000000, 467.4266969, 459.2944814, 436.3308172, 396.2003909, 350.6247687, 319.6238329, 319.3838697, 350.6645822, 398.0355610, 440.7415555, 465.1798747, 471.9631636, 1884.0000000, 470.2612041, 461.5038462, 437.4650982, 396.1644473, 349.6585663, 318.0649998, 317.4822446, 348.6880908, 396.4782252, 440.2186954, 466.0188894, 473.9719569, 1885.0000000, 472.8942439, 464.1018713, 439.4190364, 397.1209627, 349.6152525, 317.2157887, 315.9967189, 346.7245262, 394.4104795, 438.6843072, 465.5999781, 474.8405314, 1886.0000000, 474.7930972, 466.5129664, 441.7123808, 398.7742609, 350.4039044, 317.1677505, 315.1824900, 345.1807636, 392.3293880, 436.5807783, 464.1432817, 474.4850368, 1887.0000000, 475.6037154, 468.2236231, 443.8162790, 400.7048511, 351.7764167, 317.8504907, 315.1434760, 344.3472022, 390.6989083, 434.4485234, 462.0974488, 473.1151855, 1888.0000000, 475.2433998, 468.9004542, 445.2612115, 402.4466867, 353.3710009, 319.0461967, 315.8196623, 344.3490114, 389.8542217, 432.7923313, 460.0065068, 471.1501028, 1889.0000000, 473.8876620, 468.4382585, 445.7152019, 403.5622196, 354.7669230, 320.4231642, 317.0024334, 345.1441637, 389.9768315, 432.0319804, 458.4483558, 469.1740444, 1890.0000000, 471.9730816, 467.0174638, 445.0742652, 403.7306577, 355.5442632, 321.5586840, 318.3225300, 346.4754766, 391.0100776, 432.3847292, 457.9049532, 467.8284195, 1891.0000000, 470.1473835, 465.1374425, 443.5743713, 402.9000117, 355.4289048, 322.0482021, 319.3111423, 347.8739135, 392.5928652, 433.7292837, 458.5712772, 467.5974193, 1892.0000000, 469.0766468, 463.4942379, 441.7758453, 401.3773691, 354.4512415, 321.6880436, 319.5764787, 348.8026157, 394.1387128, 435.5913553, 460.2411730, 468.6121684, 1893.0000000, 469.2001335, 462.7326563, 440.3704630, 399.7358400, 352.9616882, 320.5784899, 318.9679488, 348.8542177, 395.0205448, 437.2609005, 462.3207001, 470.5543760, 1894.0000000, 470.5411321, 463.1974922, 439.9249086, 398.6097812, 351.5194849, 319.1206990, 317.6833959, 347.9650792, 394.8622697, 438.0914202, 464.0550960, 472.7618828, 1895.0000000, 472.6771158, 464.7769108, 440.6291770, 398.4029342, 350.6191753, 317.8024462, 316.1416472, 346.4081827, 393.6792306, 437.7692562, 464.8574589, 474.5364478, 1896.0000000, 474.9743329, 467.0362760, 442.3192569, 399.2115857, 350.5443620, 317.0154933, 314.7888923, 344.6224228, 391.7858648, 436.3431982, 464.4502024, 475.3460365, 1897.0000000, 476.7956910, 469.3918293, 444.5925970, 400.8716081, 351.3504621, 316.9835057, 313.9808044, 343.0634381, 389.6520613, 434.1448787, 462.8861095, 474.9291882, 1898.0000000, 477.6436369, 471.2517165, 446.9191732, 403.0275548, 352.8900964, 317.7472606, 313.9258569, 342.1008586, 387.7693996, 431.6688358, 460.4967139, 473.3360784, 1899.0000000, 477.2731213, 472.1585976, 448.7737386, 405.2301413, 354.8719871, 319.1886226, 314.6750282, 341.9655923, 386.5464843, 429.4313701, 457.7587883, 470.8474147, 1900.0000000, 475.6811007, 471.8326241, 449.7001189, 406.9958909, 356.9049745, 321.0602240, 316.1401428, 342.7553153, 386.2968090, 427.9376070, 455.2576407, 467.9674557, 1901.0000000, 473.1472260, 470.2529581, 449.4011011, 407.8715474, 358.5224973, 322.9745384, 318.0553687, 344.3697367, 387.1444577, 427.5630685, 453.5644645, 465.3294905, 1902.0000000, 470.2076355, 467.7182970, 447.8673323, 407.5810674, 359.3027414, 324.4784142, 320.0062437, 346.4973910, 388.9712104, 428.4621515, 453.1140732, 463.5657380, 1903.0000000, 467.5514568, 464.8103775, 445.4265589, 406.1395445, 358.9996058, 325.1628835, 321.4996562, 348.6334727, 391.3729776, 430.4665171, 454.0569684, 463.1349922, 1904.0000000, 465.8556886, 462.2783869, 442.7182527, 403.9275356, 357.6861162, 324.8298972, 322.1188930, 350.1953191, 393.7061931, 433.0383244, 456.1215899, 464.1106673, 1905.0000000, 465.5281126, 460.7790445, 440.4924280, 401.6033487, 355.7952679, 323.6404012, 321.7472863, 350.7847425, 395.3332942, 435.4413953, 458.6700019, 466.1120791, 1906.0000000, 466.5191059, 460.5922816, 439.2780906, 399.7967352, 353.9046411, 322.0208244, 320.6035419, 350.3516580, 395.8893574, 437.0461312, 460.9693715, 468.4924065, 1907.0000000, 468.4065731, 461.5940344, 439.2518346, 398.9081617, 352.5176619, 320.4733245, 319.1167823, 349.1674715, 395.3768648, 437.5257817, 462.4301131, 470.5581929, 1908.0000000, 470.5568537, 463.3374086, 440.2288938, 399.0158206, 351.9109206, 319.3935452, 317.7429678, 347.6795887, 394.1128994, 436.9321328, 462.7894556, 471.8063270, 1909.0000000, 472.3639362, 465.2565118, 441.8040722, 399.9380256, 352.1181575, 318.9869229, 316.8231076, 346.3284355, 392.5480714, 435.5787686, 462.0992339, 472.0040163, 1910.0000000, 473.3836024, 466.8188335, 443.4924314, 401.3407870, 352.9944200, 319.2863006, 316.5524124, 345.4635045, 391.1411909, 433.9132968, 460.6426842, 471.1726821, 1911.0000000, 473.3738980, 467.5949156, 444.8027145, 402.7991265, 354.2589730, 320.1755497, 316.9818362, 345.3172401, 390.3022240, 432.4478513, 458.8890254, 469.5953231, 1912.0000000, 472.3556031, 467.3492141, 445.3262891, 403.8600020, 355.5252539, 321.3902237, 317.9920479, 345.9472752, 390.2984377, 431.6372145, 457.3738966, 467.7396415, 1913.0000000, 470.6038922, 466.0988151, 444.8362874, 404.1451060, 356.3819670, 322.5702835, 319.3204348, 347.2390048, 391.2291090, 431.8246255, 456.6281502, 466.1947794, 1914.0000000, 468.6211503, 464.1377081, 443.3541355, 403.4300695, 356.4547270, 323.2885510, 320.5517938, 348.8552959, 392.9340118, 433.1183810, 457.0431248, 465.5555848, 1915.0000000, 467.0725661, 462.0510909, 441.2488839, 401.8016718, 355.5752707, 323.1953143, 321.2185327, 350.2754043, 394.9534393, 435.2690717, 458.6825604, 466.1993100, 1916.0000000, 466.5662609, 460.5444662, 439.1596743, 399.6910655, 353.9044644, 322.1923584, 320.9909662, 350.9674192, 396.6407620, 437.6858087, 461.1912282, 468.1045265, 1917.0000000, 467.4125734, 460.1834426, 437.7686724, 397.7313937, 351.8998848, 320.5046467, 319.8366997, 350.6123922, 397.4019467, 439.6234354, 463.8815858, 470.8230812, 1918.0000000, 469.4915862, 461.1812015, 437.5500523, 396.5228699, 350.1460527, 318.6051830, 318.0560939, 349.2590358, 396.9517572, 440.4745644, 465.9766939, 473.6204935, 1919.0000000, 472.2756629, 463.3064523, 438.5822673, 396.3884014, 349.1014752, 316.9930616, 316.1240305, 347.2746683, 395.4167314, 440.0192850, 466.9399381, 475.7994308, 1920.0000000, 475.0910479, 466.0546957, 440.6164774, 397.3426755, 348.9877883, 316.0273122, 314.4883281, 345.1377542, 393.1840777, 438.3902953, 466.5596316, 476.8603067, 1921.0000000, 477.2985496, 468.8120998, 443.1998544, 399.1629242, 349.8058686, 315.8904192, 313.4838868, 343.3124043, 390.7672830, 435.9885483, 464.9606322, 476.5959574, 1922.0000000, 478.4293744, 470.9895919, 445.7835596, 401.4598011, 351.3678909, 316.5835727, 313.2866639, 342.1516161, 388.6674373, 433.3463130, 462.5278064, 475.1061106, 1923.0000000, 478.2721919, 472.1432443, 447.8359339, 403.7619119, 353.3505271, 317.9523897, 313.9125288, 341.8598236, 387.2864285, 431.0019461, 459.7849467, 472.7307160, 1924.0000000, 476.8794716, 472.0353028, 448.9235582, 405.5875873, 355.3462057, 319.7203851, 315.2359830, 342.4947856, 386.9061870, 429.4503421, 457.3354515, 470.0128755, 1925.0000000, 474.5798121, 470.6924493, 448.7857922, 406.5022033, 356.8870359, 321.4799577, 316.9548052, 343.9075190, 387.6006755, 429.0327114, 455.7453580, 467.6132497, 1926.0000000, 471.9614624, 468.4798506, 447.4813560, 406.2860218, 357.5855847, 322.7863565, 318.6355255, 345.7394065, 389.1822803, 429.8296729, 455.3925668, 466.1380516, 1927.0000000, 469.7223775, 466.0197643, 445.4016163, 405.0264976, 357.2607441, 323.2757025, 319.8014359, 347.4647180, 391.1854619, 431.5812991, 456.3314848, 465.9691568, 1928.0000000, 468.4963708, 464.0577359, 443.2217519, 403.1714740, 356.0699642, 322.8359006, 320.1090979, 348.5438910, 392.9585459, 433.6845302, 458.1836307, 467.0605743, 1929.0000000, 468.5832052, 463.1704594, 441.6510559, 401.3827383, 354.4901468, 321.7024329, 319.5357867, 348.6747854, 393.9321907, 435.4126304, 460.2556792, 468.9300017, 1930.0000000, 469.8121952, 463.5204216, 441.1243997, 400.2338079, 353.0867747, 320.3336916, 318.3754124, 347.9199153, 393.8672141, 436.2325741, 461.8480094, 470.8959256, 1931.0000000, 471.6758819, 464.8712657, 441.7027344, 400.0261576, 352.2941727, 319.1997984, 317.0685410, 346.6138752, 392.8769719, 435.9444403, 462.4672665, 472.3024049, 1932.0000000, 473.5192952, 466.7122345, 443.1163886, 400.7515661, 352.3146410, 318.6424140, 316.0452351, 345.2201941, 391.3497296, 434.7165821, 461.9744112, 472.7338918, 1933.0000000, 474.7676579, 468.4557886, 444.9025766, 402.1553990, 353.1095049, 318.8029016, 315.5956822, 344.1528684, 389.7533831, 432.9334569, 460.5274469, 472.0605869, 1934.0000000, 475.0435357, 469.5867663, 446.5509538, 403.8538146, 354.4767635, 319.6589528, 315.8650884, 343.7237460, 388.5382598, 431.0827779, 458.4979260, 470.4132482, 1935.0000000, 474.1986580, 469.7272757, 447.5730950, 405.3887823, 356.0857956, 321.0397415, 316.8490373, 344.1131709, 388.0782830, 429.6768713, 456.4042645, 468.1642096, 1936.0000000, 472.3538439, 468.7184910, 447.5925035, 406.2956052, 357.5107305, 322.6298060, 318.3733818, 345.3243824, 388.5961666, 429.1530742, 454.8100300, 465.8579189, 1937.0000000, 469.8929091, 466.6860853, 446.4574259, 406.2213329, 358.3222022, 324.0235767, 320.1138114, 347.1712426, 390.1185495, 429.7974560, 454.2257167, 464.1147214, 1938.0000000, 467.3992594, 464.0343051, 444.2939482, 405.0094666, 358.1665489, 324.7750092, 321.6072371, 349.2467709, 392.4025091, 431.6383860, 454.9864678, 463.5173146, 1939.0000000, 465.5813315, 461.4420061, 441.5904283, 402.8555517, 356.9469590, 324.5611882, 322.3710674, 350.9769029, 394.9021965, 434.3206845, 457.0513262, 464.3622466, 1940.0000000, 465.0109877, 459.6352991, 439.0584264, 400.2907562, 354.9211106, 323.3566566, 322.1153558, 351.8307996, 396.9302837, 437.1757504, 459.9635639, 466.5228369, 1941.0000000, 465.9109509, 459.1301351, 437.3813951, 397.9962958, 352.6225823, 321.4695564, 320.8838902, 351.5468623, 397.9184038, 439.4430489, 462.9793258, 469.4627756, 1942.0000000, 468.0576370, 460.0408562, 436.9613334, 396.5409668, 350.6445314, 319.4113084, 319.0347520, 350.2417147, 397.6464987, 440.5622192, 465.3394159, 472.4311680, 1943.0000000, 470.8754968, 462.0671023, 437.8040322, 396.1901873, 349.4139355, 317.6764414, 317.0627393, 348.3243645, 396.2985740, 440.3757510, 466.5594837, 474.7618528, 1944.0000000, 473.6918937, 464.6749113, 439.6091773, 396.9005971, 349.1018817, 316.5882031, 315.3968202, 346.2728888, 394.2822314, 439.0563707, 466.4827251, 476.0107828, 1945.0000000, 475.9112391, 467.2711870, 441.9193929, 398.4258210, 349.6776197, 316.2983125, 314.3463005, 344.5341460, 392.1059104, 437.0171275, 465.2634969, 476.0143136, 1946.0000000, 477.1110272, 469.3027779, 444.2005480, 400.3686845, 350.9301970, 316.7781503, 314.0559850, 343.4322820, 390.2483722, 434.7803496, 463.2949521, 474.9008891, 1947.0000000, 477.1246934, 470.3740645, 445.9571848, 402.2728158, 352.5315034, 317.8556514, 314.5172683, 343.1448490, 389.0882965, 432.8689547, 461.1000768, 473.0293657, 1948.0000000, 476.0436271, 470.2974713, 446.8011936, 403.6821492, 354.0754592, 319.2360228, 315.5726261, 343.6896144, 388.8657441, 431.7443704, 459.2639031, 470.9467716, 1949.0000000, 474.2268560, 469.1538318, 446.5355047, 404.2146001, 355.1215699, 320.5115465, 316.8958195, 344.8748882, 389.6030472, 431.6995691, 458.3202187, 469.3052162, 1950.0000000, 472.2836805, 467.3609370, 445.2941734, 403.7274943, 355.3389568, 321.2614087, 318.0412588, 346.2932428, 391.0335692, 432.7234430, 458.5641143, 468.6536947, 1951.0000000, 470.8914526, 465.5649232, 443.5364297, 402.4037545, 354.6432698, 321.1976295, 318.5732042, 347.4137038, 392.6341565, 434.4569529, 459.9344915, 469.2677493, 1952.0000000, 470.6049336, 464.4739394, 441.9522464, 400.7559871, 353.2892407, 320.3149316, 318.2437610, 347.7572753, 393.7535483, 436.2277570, 461.9318755, 470.9590337, 1953.0000000, 471.5858432, 464.5516989, 441.1821444, 399.4340853, 351.7979366, 318.9371155, 317.1475972, 347.1465678, 393.9178696, 437.3398380, 463.8187961, 473.1451264, 1954.0000000, 473.5345759, 465.8266324, 441.5441971, 398.9324532, 350.7053274, 317.5447734, 315.6510670, 345.7602657, 393.0213424, 437.3641753, 464.9341267, 475.1132695, 1955.0000000, 475.8607832, 467.9506713, 442.9805178, 399.4469903, 350.3693815, 316.5702726, 314.2034596, 343.9966349, 391.2919988, 436.2330361, 464.8864399, 476.2525509, 1956.0000000, 477.9000982, 470.3640680, 445.1504015, 400.8920307, 350.9207573, 316.2988735, 313.2030399, 342.3265263, 389.1762665, 434.2134023, 463.6393735, 476.2160958, 1957.0000000, 479.0976731, 472.4575469, 447.5433466, 402.9545118, 352.2617872, 316.8179499, 312.8958492, 341.1410129, 387.1589391, 431.7547738, 461.4453531, 474.9619132, 1958.0000000, 479.1298026, 473.7295933, 449.6321869, 405.2174708, 354.1513676, 318.0644651, 313.3870758, 340.7192926, 385.6801131, 429.3739997, 458.7424691, 472.6984398, 1959.0000000, 477.9073930, 473.8266587, 450.9203514, 407.1948635, 356.2231419, 319.8292891, 314.6317579, 341.2018262, 385.0872326, 427.5890959, 456.0960638, 469.8746363, 1960.0000000, 475.6298723, 472.6451082, 451.0515348, 408.4136189, 358.0271407, 321.7656372, 316.4192170, 342.5506749, 385.5646122, 426.8191506, 454.0886528, 467.0928751, 1961.0000000, 472.7607130, 470.3843947, 449.9195685, 408.5323461, 359.1199887, 323.4380962, 318.3829762, 344.5250573, 387.0767946, 427.2964643, 453.2090494, 464.9984373, 1962.0000000, 469.9511626, 467.5385779, 447.7346847, 407.4534698, 359.1775245, 324.4055415, 320.0429884, 346.6768018, 389.3142007, 428.9685927, 453.7223166, 464.1402872, 1963.0000000, 467.9237725, 464.8438160, 445.0655193, 405.4511185, 358.1641921, 324.3849969, 320.9346596, 348.4218076, 391.6824310, 431.3925152, 455.4778770, 464.7144713, 1964.0000000, 467.1869348, 463.0130086, 442.6579083, 403.1210704, 356.4132975, 323.4266015, 320.8398326, 349.2894048, 393.5233261, 433.8755927, 457.9400447, 466.4812669, 1965.0000000, 467.8465430, 462.4689041, 441.1419836, 401.1328628, 354.4801738, 321.8858622, 319.8727478, 349.1079730, 394.3605238, 435.7183385, 460.3660751, 468.8439052, 1966.0000000, 469.5774401, 463.2114472, 440.8184478, 399.9832932, 352.9196941, 320.2681718, 318.4196788, 348.0640713, 394.0846937, 436.4855316, 462.0925157, 471.0869372, 1967.0000000, 471.7771818, 464.8685600, 441.6020177, 399.8501801, 352.0874374, 319.0167038, 316.9472604, 346.5729232, 392.9366999, 436.1241242, 462.7537073, 472.6334530, 1968.0000000, 473.8091543, 466.8889667, 443.1381830, 400.6208048, 352.0858544, 318.3930762, 315.8326642, 345.0813572, 391.3330719, 434.8733671, 462.3048338, 473.1592523, 1969.0000000, 475.1666239, 468.7185941, 444.9613886, 402.0097926, 352.8314734, 318.4918071, 315.3259091, 343.9786901, 389.7442821, 433.1531823, 460.9640256, 472.6010875, 1970.0000000, 475.5261354, 469.8700275, 446.5571753, 403.6018793, 354.0744764, 319.2367613, 315.5192383, 343.5330960, 388.5995891, 431.4665648, 459.1585436, 471.1744198, 1971.0000000, 474.8332322, 470.0466127, 447.4879253, 404.9517621, 355.4637931, 320.4141649, 316.3506636, 343.8590664, 388.2114053, 430.2863288, 457.4028962, 469.2856946, 1972.0000000, 473.2728242, 469.1680158, 447.4488666, 405.6414151, 356.5883310, 321.6944290, 317.6086557, 344.9057288, 388.7435287, 430.0050785, 456.2464927, 467.5020444, 1973.0000000, 471.2846784, 467.4369030, 446.3663256, 405.3757846, 357.0434460, 322.6608312, 318.9229167, 346.4089494, 390.1250406, 430.8169508, 456.1420276, 466.4396607, 1974.0000000, 469.5065974, 465.3629201, 444.5019529, 404.1326229, 356.5789687, 322.9232710, 319.8307033, 347.8990328, 391.9877342, 432.5861474, 457.2627155, 466.5577977, 1975.0000000, 468.5839916, 463.6332255, 442.4214367, 402.2337135, 355.2409623, 322.2889533, 319.9446633, 348.8380934, 393.7412093, 434.8338901, 459.3981015, 467.9836094, 1976.0000000, 468.9545750, 462.8972337, 440.8297015, 400.2714464, 353.3989984, 320.8714870, 319.1182520, 348.8116221, 394.7412153, 436.8283466, 461.9340840, 470.3835966, 1977.0000000, 470.6322490, 463.4972628, 440.2995210, 398.8943009, 351.6307714, 319.0900293, 317.5623691, 347.7592115, 394.6021289, 437.9041488, 464.0968194, 473.0835423, 1978.0000000, 473.1911919, 465.3258654, 441.0313797, 398.5208136, 350.4479323, 317.4494244, 315.7094325, 345.9582577, 393.3275807, 437.7189051, 465.2625509, 475.3530315, 1979.0000000, 475.9788918, 467.9445323, 442.8694098, 399.2628433, 350.1535210, 316.3624281, 314.0267179, 343.8646365, 391.2362512, 436.3048595, 465.1173554, 476.6168489, 1980.0000000, 478.3223475, 470.7499764, 445.4077954, 400.9646792, 350.8175292, 316.0710920, 312.8918439, 341.9582826, 388.8185384, 433.9985529, 463.6966350, 476.5788881, 1981.0000000, 479.6863129, 473.1215619, 448.1024266, 403.2690006, 352.2980168, 316.6252478, 312.5248257, 340.6230822, 386.5803062, 431.3010379, 461.3216981, 475.2610827, 1982.0000000, 479.7891826, 474.5709880, 450.4129642, 405.7283019, 354.3156108, 317.9225265, 312.9942886, 340.1100026, 384.9516369, 428.7467125, 458.4735753, 472.9273510, 1983.0000000, 478.5909898, 474.7749899, 451.8497482, 407.8437253, 356.4788096, 319.7225670, 314.2214017, 340.5275398, 384.2593643, 426.8558683, 455.7502179, 470.0814218, 1984.0000000, 476.3543261, 473.6844431, 452.0899434, 409.1506671, 358.3250758, 321.6509571, 315.9568458, 341.7907447, 384.6401511, 426.0137612, 453.7275504, 467.3525212, 1985.0000000, 473.5952064, 471.5627759, 451.0852066, 409.3459338, 359.4252473, 323.2645239, 317.8063147, 343.6118953, 385.9978024, 426.3935444, 452.8551501, 465.3807649, 1986.0000000, 470.9975990, 468.9677072, 449.1242937, 408.4058140, 359.5098864, 324.1517005, 319.2910847, 345.5115529, 387.9567211, 427.8516117, 453.3054385, 464.6440098, 1987.0000000, 469.2507852, 466.6459217, 446.8251117, 406.6771121, 358.6209543, 324.0977568, 319.9963872, 346.9249893, 389.8991004, 429.8742853, 454.8242626, 465.2293234, 1988.0000000, 468.7740840, 465.2592306, 444.9289787, 404.7941314, 357.1603011, 323.2372701, 319.7937281, 347.4629326, 391.2138991, 431.7580944, 456.8025951, 466.7800185, 1989.0000000, 469.5411582, 465.1098622, 443.9794077, 403.3858429, 355.6886988, 321.9709799, 318.8773523, 347.0610834, 391.5372382, 432.8831192, 458.5148555, 468.6513016, 1990.0000000, 471.1319373, 466.0821117, 444.1674839, 402.8660098, 354.7144030, 320.7962904, 317.6667954, 345.9849145, 390.8777215, 432.9396873, 459.3863216, 470.1515131, 1991.0000000, 472.9028751, 467.7173001, 445.3030262, 403.3139806, 354.5158176, 320.1062033, 316.6099147, 344.6730456, 389.5522150, 431.9933514, 459.1745982, 470.7886571, 1992.0000000, 474.2431629, 469.4345487, 446.9664552, 404.5407473, 355.1253236, 320.1057519, 316.0444413, 343.5598997, 388.0092263, 430.3671784, 457.9504977, 470.3459747, 1993.0000000, 474.7101765, 470.6873954, 448.6526382, 406.1969098, 356.3915041, 320.8275024, 316.1666407, 342.9950081, 386.7087453, 428.5193236, 456.0200969, 468.8708742, 1994.0000000, 474.0750404, 471.0373894, 449.8439665, 407.8281255, 358.0123768, 322.1434877, 317.0209934, 343.2052683, 386.0558157, 426.9637114, 453.8701591, 466.6782719, 1995.0000000, 472.3904674, 470.2651085, 450.1271802, 408.9645653, 359.5849482, 323.7797694, 318.4852172, 344.2474388, 386.3150204, 426.1519590, 452.0393042, 464.2489166, 1996.0000000, 469.9496927, 468.3971847, 449.2664599, 409.2037587, 360.6709574, 325.3568029, 320.2881859, 346.0082436, 387.5917087, 426.4341259, 451.0696433, 462.1939775, 1997.0000000, 467.2867758, 465.7570797, 447.2947734, 408.3088750, 360.8689108, 326.4203756, 321.9973909, 348.1459661, 389.7307180, 427.9257467, 451.3584555, 461.1189588, 1998.0000000, 465.0877650, 462.9573861, 444.6005953, 406.3651249, 359.9882019, 326.5892137, 323.1177357, 350.1274863, 392.2785859, 430.3957169, 452.9902673, 461.4210733, 1999.0000000, 463.9844356, 460.7323891, 441.8494357, 403.8136347, 358.1758194, 325.7319559, 323.2789612, 351.3883749, 394.5793456, 433.2702247, 455.6418007, 463.1147279, 2000.0000000, 464.3247408, 459.6903413, 439.7671287, 401.3199320, 355.8976479, 324.0529646, 322.4035150, 351.5530299, 395.9930463, 435.7866076, 458.6349156, 465.7755358, 2001.0000000, 466.0196637, 460.0823609, 438.8734429, 399.5308164, 353.7729096, 322.0369007, 320.7744830, 350.6267915, 396.1827080, 437.3024765, 461.1882344, 468.6869469, 2002.0000000, 468.5690296, 461.7076673, 439.2805330, 398.8054560, 352.2929529, 320.2028739, 318.8641920, 348.9435641, 395.2151718, 437.5371249, 462.7286658, 471.1477881, 2003.0000000, 471.3167546, 464.0899286, 440.7730238, 399.1955561, 351.7171223, 318.9427412, 317.1402385, 346.9770902, 393.4403968, 436.5646621, 462.9932875, 472.6318482, 2004.0000000, 473.6218344, 466.6281747, 442.9177191, 400.5013065, 352.0714855, 318.4650478, 315.9597999, 345.1995732, 391.3531993, 434.7404657, 462.0529739, 472.8944107, 2005.0000000, 475.0037681, 468.7426535, 445.1848003, 402.3542731, 353.1890766, 318.7922576, 315.5197502, 343.9783206, 389.4492775, 432.5626513, 460.2387156, 471.9852128, 2006.0000000, 475.2239313, 469.9883065, 447.0594231, 404.3070448, 354.7713361, 319.7943981, 315.8599674, 343.5384836, 388.1388978, 430.5519256, 458.0296400, 470.1869620, 2007.0000000, 474.2857172, 470.0990242, 448.1015617, 405.8860620, 356.4259309, 321.2128864, 316.8755977, 343.9608775, 387.7230567, 429.2079067, 456.0103011, 468.0057844, 2008.0000000, 472.4780972, 469.0749227, 448.0437007, 406.6652856, 357.7002252, 322.6569125, 318.2817292, 345.1147314, 388.2921781, 428.8767181, 454.7306721, 466.0638580, 2009.0000000, 470.3388237, 467.2349492, 446.9160458, 406.4171152, 358.2137173, 323.6964122, 319.6643431, 346.6651114, 389.6850503, 429.6627460, 454.5804472, 464.9599657, 2010.0000000, 468.5400867, 465.1664446, 445.0786177, 405.2099941, 357.7793963, 323.9707319, 320.5552632, 348.0991919, 391.4524477, 431.3234780, 455.6271160, 465.0789170, 2011.0000000, 467.7050231, 463.5936516, 443.1831534, 403.4748188, 356.5476651, 323.3690655, 320.6176124, 348.8863881, 392.9532164, 433.2673167, 457.5030243, 466.3807534, 2012.0000000, 468.1312652, 463.0824959, 441.9232652, 401.8593255, 354.9881991, 322.1273681, 319.8353657, 348.7356269, 393.6307748, 434.7797887, 459.5252720, 468.3912884, 2013.0000000, 469.6528440, 463.7948520, 441.7276202, 400.9277038, 353.6577445, 320.6986965, 318.5010018, 347.7109056, 393.2483862, 435.3282838, 460.9919883, 470.4263748, 2014.0000000, 471.7617963, 465.4967924, 442.6614366, 400.9863538, 352.9961479, 319.5599826, 317.0644572, 346.1591109, 391.9319694, 434.7203638, 461.4078241, 471.8192171, 2015.0000000, 473.7880381, 467.6629990, 444.4441389, 402.0204510, 353.2023217, 319.0519271, 315.9577071, 344.5497607, 390.0795275, 433.1344634, 460.6388200, 472.1514551, 2016.0000000, 475.1480842, 469.6968471, 446.6084480, 403.7766062, 354.2423019, 319.3218894, 315.4776143, 343.3044901, 388.1676163, 430.9625347, 458.8440662, 471.2833812, 2017.0000000, 475.4446093, 471.0598724, 448.6256930, 405.8624893, 355.9147242, 320.3537635, 315.7786328, 342.7465294, 386.6598229, 428.7060276, 456.4046036, 469.3452138, 2018.0000000, 474.5147493, 471.3483083, 449.9800132, 407.8008515, 357.8818032, 321.9794603, 316.8649012, 343.0678370, 385.9432958, 426.8913573, 453.8532342, 466.7178617, 2019.0000000, 472.4760231, 470.3864474, 450.2702636, 409.1056484, 359.7072239, 323.8843573, 318.5709612, 344.2839628, 386.2529717, 425.9665604, 451.7606822, 463.9473920, 2020.0000000, 469.7030071, 468.2763639, 449.3101197, 409.3898600, 360.9396144, 325.6570954, 320.5817066, 346.2295423, 387.6425753, 426.2447618, 450.6616837, 461.6740094, 2021.0000000, 466.7910392, 465.4184566, 447.2023400, 408.4607209, 361.1899028, 326.8284793, 322.4274378, 348.5066906, 389.8879756, 427.7737743, 450.9072069, 460.4934264, 2022.0000000, 464.4594865, 462.4959209, 444.4257186, 406.4889213, 360.3294538, 327.0489814, 323.6140496, 350.5510202, 392.4713335, 430.2337826, 452.4863703, 460.7246419, 2023.0000000, 463.2960271, 460.2436848, 441.6889612, 403.9865062, 358.5828562, 326.2557854, 323.8222731, 351.8223696, 394.7230232, 432.9926344, 454.9828114, 462.2728663, 2024.0000000, 463.5467399, 459.1961651, 439.6875846, 401.6340271, 356.4660362, 324.7249368, 323.0578919, 352.0298589, 396.0707798, 435.3158967, 457.6925728, 464.6388321, 2025.0000000, 465.0156577, 459.4885481, 438.8409170, 400.0118147, 354.5722709, 322.9529074, 321.6500158, 351.2566642, 396.2757273, 436.6551942, 459.8937939, 467.1134261, 2026.0000000, 467.1588697, 460.8389811, 439.1642422, 399.3898818, 353.3274710, 321.4231150, 320.0683186, 349.8733819, 395.4859190, 436.8412033, 461.1248297, 469.0744553, 2027.0000000, 469.3490009, 462.7481226, 440.3802851, 399.7402899, 352.9129043, 320.4615456, 318.7319175, 348.3321879, 394.0703116, 436.0159664, 461.2247834, 470.1004803, 2028.0000000, 471.0223978, 464.6479708, 442.0442060, 400.8206594, 353.2987075, 320.2194309, 317.9448697, 347.0631581, 392.5079729, 434.5622724, 460.3390671, 470.0494389, 2029.0000000, 471.7980865, 466.0273631, 443.6498335, 402.2456597, 354.2758816, 320.6659238, 317.8463860, 346.3764323, 391.2490344, 432.9633941, 458.8297199, 469.0460037, 2030.0000000, 471.5346509, 466.5297557, 444.7360198, 403.5783700, 355.5227509, 321.6289074, 318.4245629, 346.4412363, 390.6521884, 431.7089396, 457.1838956, 467.4292198, 2031.0000000, 470.3309402, 465.9965591, 444.9478797, 404.3855854, 356.6425522, 322.8139566, 319.5189286, 347.2701699, 390.9468472, 431.2375983, 455.9553391, 465.7213199, 2032.0000000, 468.5433740, 464.5321166, 444.1256621, 404.3172139, 357.2106745, 323.8145206, 320.7955015, 348.6598002, 392.1398107, 431.8184959, 455.6417830, 464.5338193, 2033.0000000, 466.7535624, 462.5530712, 442.4278651, 403.2649308, 356.9239119, 324.2243253, 321.8124965, 350.2016754, 393.9628112, 433.4359587, 456.5241580, 464.3900712, 2034.0000000, 465.6103113, 460.6886522, 440.3165141, 401.4290347, 355.7163620, 323.7641783, 322.1303237, 351.3521074, 395.8790154, 435.7219920, 458.5333463, 465.5524136, 2035.0000000, 465.6499832, 459.6320786, 438.4815483, 399.3396715, 353.8684163, 322.4496114, 321.5089035, 351.6245148, 397.2204914, 437.9906659, 461.1648161, 467.8294945, 2036.0000000, 467.0255729, 459.8335061, 437.5543912, 397.6506546, 351.9175703, 320.6249045, 320.0564652, 350.8390774, 397.4942344, 439.5216982, 463.6662942, 470.6369933, 2037.0000000, 469.4408676, 461.3233625, 437.8541893, 396.8619274, 350.4132935, 318.7903840, 318.1583698, 349.1808938, 396.5789717, 439.8531344, 465.3452446, 473.2456155, 2038.0000000, 472.3047296, 463.7609412, 439.3331331, 397.1818423, 349.7313322, 317.4029319, 316.2921529, 347.0717797, 394.7058166, 438.8921487, 465.7678127, 475.0052313, 2039.0000000, 474.9274928, 466.5749379, 441.6463319, 398.5250521, 350.0085277, 316.7621347, 314.8799213, 345.0122077, 392.3444608, 436.9069396, 464.8747182, 475.5380628, 2040.0000000, 476.7324659, 469.1483982, 444.2861316, 400.5854249, 351.1554883, 316.9663129, 314.1845084, 343.4164716, 390.0011190, 434.3518260, 462.8963774, 474.7605257, 2041.0000000, 477.3541530, 470.9515040, 446.7134565, 402.9457768, 352.9368557, 317.9623180, 314.3270216, 342.5884267, 388.1481627, 431.7695129, 460.2750430, 472.8614911, 2042.0000000, 476.6704306, 471.6005865, 448.4137947, 405.1139182, 354.9866542, 319.5446034, 315.2696048, 342.6819874, 387.1528413, 429.6987108, 457.5851424, 470.2776412, 2043.0000000, 474.8518825, 470.9606108, 449.0104988, 406.6109925, 356.8588528, 321.3740319, 316.8105930, 343.6706683, 387.2154642, 428.5761711, 455.4199570, 467.6039993, 2044.0000000, 472.3341658, 469.1930861, 448.3654810, 407.0802440, 358.1106580, 323.0255100, 318.5989012, 345.3327088, 388.3231302, 428.6599078, 454.2890690, 465.4917018, 2045.0000000, 469.7526009, 466.7571117, 446.6479120, 406.3915989, 358.4008907, 324.0545016, 320.1600463, 347.2317573, 390.1830537, 429.9176018, 454.4776601, 464.5022999, 2046.0000000, 467.8276885, 464.3687409, 444.3941972, 404.7880330, 357.6747684, 324.1734768, 321.0374956, 348.8010660, 392.2252810, 431.9336815, 455.8618942, 464.8534974, 2047.0000000, 467.0760734, 462.7297287, 442.3198003, 402.8253069, 356.2287472, 323.4069273, 321.0007134, 349.5714553, 393.8049739, 434.0384259, 457.9350795, 466.3360631, 2048.0000000, 467.6311159, 462.2803563, 441.0573645, 401.1609770, 354.5979955, 322.0893560, 320.1473640, 349.3620932, 394.4457725, 435.5397303, 459.9659875, 468.3669853, 2049.0000000, 469.1821475, 463.0336526, 440.9157575, 400.2923914, 353.3308073, 320.7159276, 318.8538407, 348.3538729, 394.0390398, 436.0084985, 461.2989200, 470.2367196, 2050.0000000, 471.1303832, 464.6199522, 441.8111967, 400.3968814, 352.7795239, 319.7246425, 317.5814145, 346.9593655, 392.8293553, 435.4026490, 461.5820489, 471.3792809, 2051.0000000, 472.8445090, 466.4887642, 443.3880376, 401.3604316, 353.0454906, 319.3755228, 316.7053116, 345.6240851, 391.2352161, 433.9681926, 460.7796141, 471.4756332, 2052.0000000, 473.8144146, 468.0744574, 445.1652987, 402.8841343, 354.0366546, 319.7597822, 316.4764166, 344.7428755, 389.7392364, 432.1461336, 459.1376863, 470.4898167, 2053.0000000, 473.7348425, 468.8928980, 446.6180579, 404.5352862, 355.4861104, 320.7876715, 316.9770387, 344.5771942, 388.7681863, 430.4435912, 457.0961971, 468.6568293, 2054.0000000, 472.5700630, 468.6571764, 447.3057078, 405.8565371, 357.0288745, 322.2347787, 318.1397003, 345.2413558, 388.6389417, 429.3428239, 455.1855390, 466.4044145, 2055.0000000, 470.5267622, 467.3006223, 446.9226025, 406.4156709, 358.2338076, 323.7531012, 319.7400441, 346.6790277, 389.5170510, 429.2434158, 453.9670528, 464.3180007, 2056.0000000, 468.0678680, 465.0473681, 445.4053309, 405.9116159, 358.6773808, 324.9024727, 321.3875858, 348.6142670, 391.3304039, 430.3465734, 453.9042450, 463.0268795, 2057.0000000, 465.8479407, 462.4266982, 443.0313592, 404.3253862, 358.0978805, 325.2718626, 322.5972107, 350.5628431, 393.7113122, 432.5311872, 455.1913930, 463.0102016, 2058.0000000, 464.5301983, 460.1416808, 440.3773994, 401.9781810, 356.5249224, 324.6375813, 322.9421643, 351.9498080, 396.0496935, 435.3256931, 457.6460634, 464.4321062, 2059.0000000, 464.5900222, 458.8785721, 438.1820158, 399.4870863, 354.3362107, 323.0997770, 322.2408755, 352.3107843, 397.6546882, 437.9757958, 460.6618728, 466.9856695, 2060.0000000, 466.0734235, 459.0105615, 437.0469096, 397.5265321, 352.1274693, 321.0803461, 320.6843140, 351.5405235, 398.0830463, 439.7715842, 463.4545362, 470.0186238, 2061.0000000, 468.5939574, 460.4733292, 437.2130399, 396.5512809, 350.4400934, 319.1030757, 318.7057617, 349.8888383, 397.2809037, 440.3040979, 465.3546886, 472.7918067, 2062.0000000, 471.5188475, 462.8616051, 438.5603335, 396.7071160, 349.6087530, 317.6088471, 316.7913498, 347.8102850, 395.5330555, 439.5437844, 465.9883242, 474.6966785, 2063.0000000, 474.1748240, 465.5927659, 440.7100495, 397.8639723, 349.7272439, 316.8636446, 315.3425253, 345.8002034, 393.3219760, 437.7890359, 465.3365896, 475.3968183, 2064.0000000, 476.0166843, 468.0635340, 443.1473207, 399.6920737, 350.6751942, 316.9353293, 314.5966784, 344.2564088, 391.1518425, 435.5094796, 463.6624540, 474.8532214, 2065.0000000, 476.7263751, 469.7830626, 445.3537148, 401.7739846, 352.2012572, 317.7464144, 314.6472669, 343.4560787, 389.4732190, 433.2375771, 461.4133772, 473.2764726, 2066.0000000, 476.2162748, 470.4053779, 446.8430151, 403.6277328, 353.9317010, 319.0710457, 315.4293781, 343.5238362, 388.6296017, 431.4996929, 459.1678419, 471.1257312, 2067.0000000, 474.6976346, 469.8475283, 447.2881838, 404.8071495, 355.4298001, 320.5582255, 316.7129695, 344.3943799, 388.7792029, 430.6978248, 457.5004278, 468.9997457, 2068.0000000, 472.6342129, 468.3206071, 446.6103786, 405.0064375, 356.2810517, 321.7839178, 318.1221242, 345.7980296, 389.8471261, 431.0291179, 456.8770455, 467.5332984, 2069.0000000, 470.6777045, 466.3344224, 445.0567031, 404.1815663, 356.2158843, 322.3459375, 319.1888814, 347.2649517, 391.4693533, 432.3680637, 457.4909755, 467.2166604, 2070.0000000, 469.5100889, 464.6081349, 443.2109412, 402.6563021, 355.2717616, 322.0388885, 319.5119294, 348.2406801, 393.0324548, 434.2047575, 459.0971093, 468.1475118, 2071.0000000, 469.5511334, 463.7857170, 441.7814954, 401.0313667, 353.8302553, 320.9938476, 318.9706852, 348.3461075, 393.9318164, 435.8387650, 461.0936500, 469.9842240, 2072.0000000, 470.7921980, 464.1790025, 441.3071146, 399.9210074, 352.4381126, 319.6058118, 317.7626229, 347.5235847, 393.8037361, 436.6389983, 462.7382039, 472.0698708, 2073.0000000, 472.8101562, 465.6735463, 441.9768574, 399.7311963, 351.5945450, 318.3685464, 316.3135052, 346.0548288, 392.6747298, 436.3025947, 463.4485129, 473.7003995, 2074.0000000, 474.9540999, 467.8104542, 443.6024939, 400.5395491, 351.5716406, 317.6685061, 315.0702622, 344.3870020, 390.8770047, 434.9064410, 462.9793219, 474.3692002, 2075.0000000, 476.5978476, 470.0013200, 445.7651011, 402.1605345, 352.4032837, 317.7100176, 314.3712550, 342.9611541, 388.8727881, 432.7871054, 461.4030460, 473.8446398, 2076.0000000, 477.2753234, 471.6799164, 447.9510508, 404.2459126, 353.9432623, 318.5314131, 314.4198408, 342.1386527, 387.1425128, 430.4284529, 459.0438961, 472.1733410, 2077.0000000, 476.7383021, 472.3814876, 449.6215962, 406.3305141, 355.8863548, 320.0043847, 315.2607239, 342.1489259, 386.0999906, 428.3604491, 456.4054145, 469.6754248, 2078.0000000, 475.0280403, 471.8638255, 450.3425906, 407.9351493, 357.8321634, 321.8645766, 316.7840772, 343.0630016, 386.0271380, 427.0565628, 454.0482254, 466.8437133, 2079.0000000, 472.4287516, 470.1237375, 449.8393737, 408.6254821, 359.3259346, 323.7296657, 318.7248817, 344.7793519, 387.0465365, 426.8909966, 452.5435193, 464.3156103, 2080.0000000, 469.4868402, 467.4748457, 448.1166666, 408.1327400, 359.9436850, 325.1365098, 320.6532389, 346.9674019, 389.0198247, 427.9999998, 452.3136248, 462.7213313, 2081.0000000, 466.9045144, 464.5274833, 445.5398062, 406.5069217, 359.4621631, 325.6837409, 322.0689344, 349.1029546, 391.5132141, 430.1788326, 453.4714559, 462.4875941, 2082.0000000, 465.3383030, 462.0272354, 442.7638931, 404.1586547, 357.9895604, 325.2057632, 322.5808851, 350.6187572, 393.8861425, 432.8811855, 455.7285491, 463.6655665, 2083.0000000, 465.1716643, 460.6100821, 440.5262481, 401.7435388, 355.9642758, 323.8721635, 322.0789931, 351.1173053, 395.4939113, 435.3568959, 458.4288070, 465.8560362, 2084.0000000, 466.3402596, 460.5483713, 439.3592068, 399.9070872, 353.9894300, 322.1403001, 320.8148368, 350.5778375, 395.9902699, 436.9782936, 460.8236244, 468.3820233, 2085.0000000, 468.3818287, 461.6732944, 439.3972426, 399.0174396, 352.5497930, 320.5081161, 319.2266825, 349.2930294, 395.4074460, 437.4497348, 462.3493833, 470.5683137, 2086.0000000, 470.6726246, 463.5398557, 440.4507935, 399.1436582, 351.9118815, 319.3629671, 317.7654695, 347.7091999, 394.0638411, 436.8245054, 462.7433637, 471.9089126, 2087.0000000, 472.6020156, 465.5770460, 442.1094848, 400.0995117, 352.1064528, 318.9098768, 316.7757048, 346.2751633, 392.4233057, 435.4301993, 462.0666884, 472.1730087, 2088.0000000, 473.7204352, 467.2408702, 443.8731744, 401.5349632, 352.9739583, 319.1699110, 316.4447130, 345.3383413, 390.9505880, 433.7299983, 460.6254183, 471.4073308, 2089.0000000, 473.8096848, 468.1213760, 445.2638585, 403.0310141, 354.2327731, 320.0203484, 316.8120661, 345.1155792, 390.0372521, 432.2167257, 458.8703427, 469.8785471, 2090.0000000, 472.8768921, 467.9737967, 445.8695868, 404.1367933, 355.5021265, 321.2043499, 317.7674750, 345.6761540, 389.9664154, 431.3656527, 457.3598857, 468.0748605, 2091.0000000, 471.2118169, 466.8216888, 445.4614311, 404.4653878, 356.3579115, 322.3458801, 319.0290334, 346.8829290, 390.8137012, 431.4999426, 456.6134885, 466.5853482, 2092.0000000, 469.3270883, 464.9768830, 444.0830011, 403.8150677, 356.4453373, 323.0322540, 320.1897914, 348.3995994, 392.4116186, 432.7145965, 457.0074766, 465.9910697, 2093.0000000, 467.8766010, 463.0164270, 442.0993959, 402.2735020, 355.6013442, 322.9214855, 320.7895903, 349.7098116, 394.2998100, 434.7544288, 458.5973966, 466.6633835, 2094.0000000, 467.4674560, 461.6495155, 440.1563181, 400.2796385, 353.9950740, 321.9232427, 320.5052328, 350.2838704, 395.8243609, 437.0091709, 461.0009574, 468.5539601, 2095.0000000, 468.3893558, 461.4311157, 438.9364828, 398.4771816, 352.1027436, 320.2882930, 319.3364889, 349.8376364, 396.4205331, 438.7460869, 463.5203691, 471.1846094, 2096.0000000, 470.4811281, 462.5293770, 438.8714718, 397.4314386, 350.4850486, 318.4784286, 317.5865874, 348.4387989, 395.8366088, 439.3975879, 465.4125425, 473.8421818, 2097.0000000, 473.2245362, 464.7139362, 440.0359384, 397.4591726, 349.5937388, 316.9871372, 315.7276644, 346.4577770, 394.2104498, 438.7577216, 466.1471173, 475.8214105, 2098.0000000, 475.9243580, 467.4518545, 442.1522062, 398.5508110, 349.6322262, 316.1610899, 314.2029888, 344.3814400, 391.9548949, 437.0021938, 465.5615369, 476.6624174, 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