# 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 : -52 # 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, 500.5046588, 424.8677966, 316.9882202, 207.9214876, 121.7211238, 74.1260011, 71.3164886, 117.1567148, 211.1711030, 333.2572134, 445.8575033, 509.0806371, -2998.0000000, 498.8028348, 424.3420075, 317.3397568, 208.5830214, 122.2813058, 74.5014426, 71.6242312, 117.4487536, 211.1952093, 332.5058600, 444.0533787, 506.6044779, -2997.0000000, 496.5116494, 422.9092917, 316.8585190, 208.7102175, 122.6013276, 74.8090675, 71.9621466, 117.9348535, 211.7430749, 332.6638554, 443.2991672, 504.8734140, -2996.0000000, 494.3575658, 421.0736068, 315.7539252, 208.2999980, 122.5957799, 74.9557384, 72.2213319, 118.4486761, 212.6059311, 333.6155277, 443.7555343, 504.3883102, -2995.0000000, 493.0385204, 419.4830893, 314.4520600, 207.5347314, 122.2893222, 74.8999931, 72.3143740, 118.8057474, 213.4597284, 334.9787166, 445.1895685, 505.2449106, -2994.0000000, 492.9731765, 418.6960467, 313.4403802, 206.7181185, 121.8128146, 74.6725580, 72.2123497, 118.8742994, 213.9785302, 336.2262444, 447.0388052, 507.0917315, -2993.0000000, 494.1568474, 418.9886861, 313.0939866, 206.1624426, 121.3532641, 74.3649488, 71.9575520, 118.6287699, 213.9591822, 336.8745146, 448.5990714, 509.2385378, -2992.0000000, 496.1536355, 420.2531067, 313.5359618, 206.0663811, 121.0757731, 74.0882643, 71.6418717, 118.1558383, 213.4027712, 336.6850547, 449.3237518, 510.9652740, -2991.0000000, 498.3243634, 422.1068785, 314.6480307, 206.4733510, 121.0725589, 73.9301629, 71.3624425, 117.5957087, 212.4607040, 335.6732187, 448.9347977, 511.7087642, -2990.0000000, 500.0198466, 424.0380866, 316.1513655, 207.3003171, 121.3625171, 73.9428840, 71.2004432, 117.1018902, 211.3778707, 334.0752276, 447.4650028, 511.1820691, -2989.0000000, 500.7246022, 425.5199120, 317.6730694, 208.3641574, 121.8945771, 74.1366236, 71.2055424, 116.8038770, 210.4204634, 332.2619512, 445.2176885, 509.4237909, -2988.0000000, 500.1733523, 426.1329104, 318.8316140, 209.4245925, 122.5627496, 74.4818052, 71.3906892, 116.7861110, 209.8202239, 330.6420817, 442.6653347, 506.7525175, -2987.0000000, 498.3839987, 425.6415461, 319.3088859, 210.2286178, 123.2259968, 74.9163376, 71.7340554, 117.0827602, 209.7503716, 329.6088682, 440.3797891, 503.7212200, -2986.0000000, 495.6675780, 424.0464566, 318.9051374, 210.5427532, 123.7183235, 75.3444747, 72.1712448, 117.6570464, 210.2793137, 329.4593723, 438.9311633, 501.0422949, -2985.0000000, 492.6300259, 421.6659888, 317.6523711, 210.2446262, 123.8988822, 75.6578311, 72.6025425, 118.3930812, 211.3274044, 330.2920341, 438.7192019, 499.3847836, -2984.0000000, 490.0025678, 419.0561184, 315.8233390, 209.3742234, 123.6996520, 75.7661327, 72.9150482, 119.1122943, 212.6610068, 331.9515107, 439.8538615, 499.2048884, -2983.0000000, 488.4701007, 416.8924480, 313.8931339, 208.1562540, 123.1676586, 75.6350785, 73.0201418, 119.6188069, 213.9286499, 334.0101341, 442.0413138, 500.5338734, -2982.0000000, 488.4064343, 415.7265836, 312.3760371, 206.9317192, 122.4615686, 75.3104783, 72.8967199, 119.7811844, 214.7894881, 335.9046952, 444.6610896, 502.9442782, -2981.0000000, 489.7283649, 415.7764340, 311.6219639, 206.0146580, 121.7804857, 74.8955025, 72.5980764, 119.5861837, 215.0520803, 337.1616516, 447.0183947, 505.7491302, -2980.0000000, 491.9892810, 416.9126842, 311.7344823, 205.5944006, 121.2887024, 74.5035550, 72.2187163, 119.1204751, 214.7075042, 337.5197013, 448.5420789, 508.2136297, -2979.0000000, 494.5433337, 418.7476725, 312.5908744, 205.7137067, 121.0817486, 74.2274252, 71.8627528, 118.5345698, 213.9170552, 336.9959268, 448.9489830, 509.7719878, -2978.0000000, 496.7426558, 420.7677275, 313.9044935, 206.2800307, 121.1720782, 74.1164094, 71.6102498, 117.9815247, 212.9225007, 335.8156205, 448.2577678, 510.1366985, -2977.0000000, 498.0929059, 422.4766301, 315.3258185, 207.1210578, 121.5114852, 74.1810227, 71.5108234, 117.5901793, 211.9844140, 334.3286330, 446.7314633, 509.3040568, -2976.0000000, 498.3085502, 423.4608202, 316.4903339, 208.0103210, 122.0009112, 74.3946889, 71.5797138, 117.4488277, 211.3401787, 332.9447271, 444.8290192, 507.5663809, -2975.0000000, 497.3853217, 423.4784556, 317.0848077, 208.7002879, 122.5007694, 74.6939933, 71.7920499, 117.5860511, 211.1547668, 332.0460932, 443.1065148, 505.4595456, -2974.0000000, 495.6294251, 422.5473213, 316.9411295, 208.9865986, 122.8619683, 74.9901400, 72.0852704, 117.9615729, 211.4837710, 331.9039494, 442.0916231, 503.6380429, -2973.0000000, 493.5884148, 420.9489901, 316.0842330, 208.7579326, 122.9565762, 75.1829862, 72.3644621, 118.4605267, 212.2412297, 332.6031609, 442.1673760, 502.7529396, -2972.0000000, 491.9769610, 419.2320304, 314.7943793, 208.0720770, 122.7339750, 75.1940626, 72.5244484, 118.9054801, 213.1751552, 333.9390325, 443.3680842, 503.1758744, -2971.0000000, 491.4050985, 418.0216899, 313.5276132, 207.1605561, 122.2591183, 75.0072492, 72.4959112, 119.1240421, 213.9502133, 335.4692278, 445.3440961, 504.8532245, -2970.0000000, 492.1546443, 417.7897577, 312.7441475, 206.3404904, 121.6893315, 74.6777391, 72.2752330, 119.0168930, 214.2687447, 336.6582465, 447.4614734, 507.3048012, -2969.0000000, 494.0721995, 418.6871913, 312.7424187, 205.8953519, 121.2122265, 74.3092388, 71.9256032, 118.5977680, 213.9872780, 337.0773686, 449.0281965, 509.7927339, -2968.0000000, 496.6313610, 420.5075607, 313.5682850, 205.9797188, 120.9765354, 74.0118558, 71.5481234, 117.9812859, 213.1648988, 336.5649974, 449.5562981, 511.6053160, -2967.0000000, 499.1505041, 422.8007554, 315.0388948, 206.5919824, 121.0509504, 73.8638584, 71.2386655, 117.3198113, 211.9945102, 335.2131761, 448.8555541, 512.2397304, -2966.0000000, 500.9944264, 425.0332753, 316.8408315, 207.6188683, 121.4351723, 73.9071246, 71.0724048, 116.7669951, 210.7405278, 333.3107701, 447.0355829, 511.4772968, -2965.0000000, 501.6797466, 426.6740331, 318.5783099, 208.8531118, 122.0610354, 74.1412411, 71.0906353, 116.4451643, 209.6729526, 331.2616076, 444.4676147, 509.4373241, -2964.0000000, 501.0013431, 427.3280627, 319.8672746, 210.0415711, 122.8104982, 74.5278375, 71.2979409, 116.4283780, 209.0163395, 329.4867903, 441.6706248, 506.5111171, -2963.0000000, 499.0463548, 426.8007415, 320.4001401, 210.9246078, 123.5319279, 74.9954141, 71.6621145, 116.7346721, 208.9226094, 328.3672578, 439.2352624, 503.3099116, -2962.0000000, 496.2042834, 425.1598780, 320.0158087, 211.2818210, 124.0588938, 75.4432731, 72.1103642, 117.3102629, 209.4299739, 328.1643196, 437.7134293, 500.5671381, -2961.0000000, 493.1387117, 422.7925138, 318.8000654, 211.0197858, 124.2601767, 75.7630878, 72.5370751, 118.0214112, 210.4178286, 328.9109757, 437.4352353, 498.9106054, -2960.0000000, 490.5875341, 420.2998838, 317.0824038, 210.2234384, 124.0935216, 75.8767576, 72.8349298, 118.6864271, 211.6259647, 330.3861578, 438.4108983, 498.6944013, -2959.0000000, 489.1681748, 418.3392679, 315.3559790, 209.1482193, 123.6319667, 75.7678357, 72.9305213, 119.1246634, 212.7052919, 332.1247624, 440.2538958, 499.8204740, -2958.0000000, 489.1317038, 417.3807219, 314.1014979, 208.1350042, 123.0477935, 75.4981246, 72.8230468, 119.2383242, 213.3606281, 333.5939723, 442.3216612, 501.7767767, -2957.0000000, 490.2772718, 417.5341186, 313.5965671, 207.4637159, 122.5316627, 75.1744536, 72.5783107, 119.0455676, 213.4620120, 334.3975761, 443.9690862, 503.8623444, -2956.0000000, 492.0858018, 418.5764198, 313.8654155, 207.2743002, 122.2250772, 74.9028561, 72.2926468, 118.6521930, 213.0577624, 334.3765850, 444.7386278, 505.4131264, -2955.0000000, 493.9137870, 420.0733083, 314.7263592, 207.5634419, 122.1966183, 74.7623110, 72.0623404, 118.2092461, 212.3373079, 333.6263008, 444.4655846, 505.9716877, -2954.0000000, 495.1647114, 421.5024239, 315.8538343, 208.1994259, 122.4325684, 74.7868812, 71.9560820, 117.8607934, 211.5506586, 332.4270469, 443.2829765, 505.3895472, -2953.0000000, 495.4487735, 422.4081915, 316.8898071, 208.9837077, 122.8619282, 74.9715816, 72.0095384, 117.7182051, 210.9443081, 331.1451071, 441.5293061, 503.7878475, -2952.0000000, 494.6018570, 422.4475288, 317.4844410, 209.6743689, 123.3656850, 75.2743102, 72.2227858, 117.8483917, 210.7301258, 330.1825017, 439.7085165, 501.5697592, -2951.0000000, 492.7601195, 421.4904209, 317.3783447, 210.0313040, 123.7926391, 75.6175809, 72.5545469, 118.2539751, 211.0347693, 329.8843690, 438.3738185, 499.3325862, -2950.0000000, 490.3464699, 419.6770313, 316.4849758, 209.8809625, 123.9934492, 75.9018254, 72.9252572, 118.8635921, 211.8619387, 330.4577439, 438.0064901, 497.7418342, -2949.0000000, 487.9909425, 417.4104732, 314.9372557, 209.1748261, 123.8618069, 76.0273808, 73.2292143, 119.5336554, 213.0670803, 331.8984674, 438.8917315, 497.3822477, -2948.0000000, 486.4080149, 415.3031267, 313.1046846, 208.0425458, 123.3848171, 75.9288569, 73.3606929, 120.0677848, 214.3452442, 333.9071760, 440.9400179, 498.5059091, -2947.0000000, 486.1341005, 413.9741364, 311.4895250, 206.7763546, 122.6728001, 75.6158885, 73.2656131, 120.2981514, 215.3382699, 335.9731500, 443.6859790, 500.9170014, -2946.0000000, 487.3214817, 413.8145319, 310.5296130, 205.7102914, 121.9108034, 75.1672200, 72.9620796, 120.1487207, 215.7618815, 337.5424891, 446.4318816, 504.0313854, -2945.0000000, 489.6978047, 414.8750201, 310.4642396, 205.1099146, 121.2927231, 74.7007355, 72.5330238, 119.6647249, 215.5130118, 338.2169826, 448.4859861, 507.0725148, -2944.0000000, 492.6662000, 416.8683847, 311.2729749, 205.0918072, 120.9544072, 74.3272852, 72.0885616, 118.9829846, 214.6899066, 337.8809368, 449.3944977, 509.3371323, -2943.0000000, 495.5238035, 419.3022319, 312.7271494, 205.6207166, 120.9476618, 74.1198068, 71.7263725, 118.2689147, 213.5182738, 336.6778270, 449.0236649, 510.3670725, -2942.0000000, 497.6554919, 421.6362566, 314.4897983, 206.5581144, 121.2548032, 74.1108708, 71.5167668, 117.6766712, 212.2754505, 334.9264882, 447.5255934, 509.9885999, -2941.0000000, 498.6131958, 423.3555445, 316.1620341, 207.6836213, 121.7949308, 74.2914307, 71.4947628, 117.3249023, 211.2371427, 333.0536206, 445.3121225, 508.3725622, -2940.0000000, 498.2424429, 424.1014076, 317.3746403, 208.7417946, 122.4411822, 74.6144633, 71.6560293, 117.2763544, 210.6176251, 331.4805051, 442.9200304, 505.9462137, -2939.0000000, 496.6777061, 423.7242610, 317.8491865, 209.4828464, 123.0396597, 75.0021669, 71.9594082, 117.5346722, 210.5505000, 330.5755172, 440.9442498, 503.3475340, -2938.0000000, 494.3559597, 422.3485443, 317.4725382, 209.7136276, 123.4321337, 75.3519110, 72.3239065, 118.0272057, 211.0404475, 330.5585215, 439.9022906, 501.2968183, -2937.0000000, 491.9565691, 420.4020641, 316.3797861, 209.3793757, 123.5072879, 75.5614047, 72.6413099, 118.6042861, 211.9277018, 331.4007927, 440.0568038, 500.3712376, -2936.0000000, 490.1999165, 418.5045072, 314.9429044, 208.6103275, 123.2546751, 75.5697182, 72.8129290, 119.0813585, 212.9208518, 332.8078822, 441.3108806, 500.8114446, -2935.0000000, 489.6136313, 417.2657533, 313.6506541, 207.6843662, 122.7750749, 75.3827263, 72.7853209, 119.2971777, 213.6738374, 334.2754559, 443.1880351, 502.3979600, -2934.0000000, 490.3293673, 417.0667368, 312.9373681, 206.9335797, 122.2525064, 75.0801296, 72.5814460, 119.1910253, 213.9347354, 335.2878793, 445.0060155, 504.5226011, -2933.0000000, 492.0234687, 417.9038168, 312.9998222, 206.5957629, 121.8653067, 74.7722647, 72.2819678, 118.8171859, 213.6383731, 335.5211156, 446.1574424, 506.4634422, -2932.0000000, 494.1089775, 419.4701114, 313.7894494, 206.7630161, 121.7320506, 74.5583170, 71.9870046, 118.3045812, 212.8925264, 334.9082195, 446.2714418, 507.5965327, -2931.0000000, 495.9265172, 421.2807606, 315.0674168, 207.3871710, 121.8944804, 74.5037290, 71.7864458, 117.8090496, 211.9213638, 333.6225804, 445.2845563, 507.5447434, -2930.0000000, 496.9106440, 422.8013827, 316.4768868, 208.3063055, 122.3183533, 74.6303753, 71.7404184, 117.4708186, 210.9911014, 332.0018709, 443.4258533, 506.2577602, -2929.0000000, 496.7314693, 423.5883627, 317.6420149, 209.2969867, 122.9132595, 74.9203489, 71.8733578, 117.3891184, 210.3445948, 330.4396705, 441.1056748, 503.9537093, -2928.0000000, 495.3060744, 423.3386488, 318.2168175, 210.1045091, 123.5462805, 75.3210611, 72.1753279, 117.6179928, 210.1829599, 329.3484241, 438.8799430, 501.1252237, -2927.0000000, 492.8635310, 421.9837785, 317.9633751, 210.4843523, 124.0541668, 75.7438357, 72.5929038, 118.1415349, 210.6080488, 329.0569132, 437.3188199, 498.4321432, -2926.0000000, 489.9163782, 419.7444153, 316.8424012, 210.2777612, 124.2851300, 76.0816250, 73.0356509, 118.8688106, 211.5919760, 329.7375656, 436.8890080, 496.5675173, -2925.0000000, 487.1633069, 417.1061857, 315.0521318, 209.4708819, 124.1433384, 76.2336482, 73.3900723, 119.6363156, 212.9488890, 331.3235955, 437.8099159, 496.0768751, -2924.0000000, 485.3256127, 414.7264670, 313.0185203, 208.2371538, 123.6393160, 76.1438274, 73.5526060, 120.2406541, 214.3470185, 333.4595477, 439.9117012, 497.1317418, -2923.0000000, 484.8881896, 413.2146237, 311.2653386, 206.8999062, 122.9078150, 75.8369533, 73.4803366, 120.5230856, 215.4262185, 335.6043808, 442.6595165, 499.4375131, -2922.0000000, 485.9045005, 412.8914078, 310.1983248, 205.7898298, 122.1428412, 75.4028484, 73.2049930, 120.4296250, 215.9336445, 337.2321570, 445.3578940, 502.3731719, -2921.0000000, 488.0356391, 413.7370074, 310.0043895, 205.1451110, 121.5295707, 74.9597662, 72.8153782, 120.0218271, 215.8012987, 337.9974849, 447.3668100, 505.1858849, -2920.0000000, 490.6684390, 415.4205495, 310.6154107, 205.0472647, 121.1849900, 74.6103094, 72.4184352, 119.4400176, 215.1486513, 337.8358214, 448.3094255, 507.2487043, -2919.0000000, 493.1465953, 417.4584752, 311.7871386, 205.4397252, 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423.5277989, 498.6134188, 1849.0000000, 504.7403023, 438.1439797, 328.2692357, 213.2056256, 123.8422579, 76.7235234, 74.3274600, 116.0895943, 199.8504786, 311.5476977, 423.5823167, 499.5695578, 1850.0000000, 506.3582783, 439.7952579, 329.4365178, 213.7705310, 123.9936173, 76.6853380, 74.1662698, 115.7028267, 199.1101580, 310.5485939, 422.7468448, 499.4055522, 1851.0000000, 507.0296781, 440.9589498, 330.5563137, 214.5130537, 124.3483132, 76.8101490, 74.1633957, 115.5039943, 198.5130000, 309.4350710, 421.3346550, 498.2326379, 1852.0000000, 506.5861164, 441.2873348, 331.2796716, 215.1984391, 124.7936251, 77.0582486, 74.3198150, 115.5565165, 198.2503059, 308.5652767, 419.7971286, 496.4113482, 1853.0000000, 505.1325234, 440.6267905, 331.3362350, 215.5893726, 125.1854904, 77.3563448, 74.5974141, 115.8660617, 198.4410384, 308.2544934, 418.6430479, 494.4984994, 1854.0000000, 503.0606774, 439.0908621, 330.6215121, 215.5090247, 125.3799313, 77.6096571, 74.9215221, 116.3711856, 199.0974889, 308.7006687, 418.3240234, 493.1245101, 1855.0000000, 500.9686233, 437.0487123, 329.2352692, 214.8888783, 125.2652924, 77.7183333, 75.1887924, 116.9409490, 200.0996389, 309.9218564, 419.1354216, 492.8815285, 1856.0000000, 499.5823297, 435.1148422, 327.5317804, 213.8388876, 124.8175928, 77.6123053, 75.2916497, 117.3885475, 201.1726860, 311.6584846, 421.0216970, 494.0544319, 1857.0000000, 499.4787962, 433.9438553, 326.0253927, 212.6433572, 124.1364377, 77.2946606, 75.1706752, 117.5470694, 201.9779778, 313.4332301, 423.5464857, 496.4713165, 1858.0000000, 500.8464425, 433.9744357, 325.1908137, 211.6506454, 123.4085045, 76.8444357, 74.8437574, 117.3425934, 202.2476047, 314.7216131, 426.0289507, 499.5402549, 1859.0000000, 503.4024428, 435.2661073, 325.2868011, 211.1388753, 122.8318015, 76.3827877, 74.3974582, 116.8236355, 201.8917135, 315.1536277, 427.7956536, 502.4666984, 1860.0000000, 506.5092938, 437.5033591, 326.2871864, 211.2277419, 122.5447217, 76.0242458, 73.9474602, 116.1321185, 201.0207651, 314.6464411, 428.4314610, 504.5516893, 1861.0000000, 509.4261801, 440.1477635, 327.9353944, 211.8704334, 122.5939456, 75.8402144, 73.5919210, 115.4304954, 199.8572749, 313.3600093, 427.8413912, 505.3645530, 1862.0000000, 511.5272138, 442.6270661, 329.8697250, 212.9170283, 122.9565624, 75.8603652, 73.3992276, 114.8658186, 198.6635849, 311.6091111, 426.2047922, 504.7711749, 1863.0000000, 512.3792306, 444.4141885, 331.6755142, 214.1394772, 123.5480033, 76.0723044, 73.4005083, 114.5455727, 197.6874467, 309.7863008, 423.9228947, 502.9606150, 1864.0000000, 511.8444299, 445.1475293, 332.9745120, 215.2794913, 124.2417622, 76.4281618, 73.5897511, 114.5260763, 197.1199895, 308.2740229, 421.5049823, 500.3641106, 1865.0000000, 510.0738277, 444.6815537, 333.4834843, 216.0861213, 124.8860797, 76.8507540, 73.9255599, 114.8087223, 197.0783523, 307.4000487, 419.4993456, 497.5953012, 1866.0000000, 507.5007452, 443.1339566, 333.0756429, 216.3579029, 125.3219146, 77.2377358, 74.3282683, 115.3273490, 197.5724836, 307.3740474, 418.4019119, 495.3667587, 1867.0000000, 504.8159678, 440.9391721, 331.8758821, 216.0259564, 125.4305015, 77.4829265, 74.6878237, 115.9396287, 198.4609871, 308.1825334, 418.4801297, 494.2662937, 1868.0000000, 502.7683704, 438.7432872, 330.2592682, 215.2074249, 125.1889423, 77.5168647, 74.8986063, 116.4629960, 199.4738435, 309.5654986, 419.6716388, 494.5760476, 1869.0000000, 501.9465807, 437.2206991, 328.7533521, 214.1883686, 124.6930651, 77.3387952, 74.8986072, 116.7303603, 200.2748841, 311.0442336, 421.5247553, 496.0988661, 1870.0000000, 502.5210151, 436.8088243, 327.8413292, 213.3245603, 124.1324854, 77.0285263, 74.7071597, 116.6738115, 200.6122645, 312.1159236, 423.3678755, 498.2238382, 1871.0000000, 504.1683300, 437.5264561, 327.7548738, 212.8799796, 123.6982462, 76.7035978, 74.4094078, 116.3469662, 200.4203516, 312.4647800, 424.5982890, 500.2085159, 1872.0000000, 506.2631490, 439.0400379, 328.4411932, 212.9523792, 123.5138829, 76.4679987, 74.1104408, 115.8791340, 199.8047252, 312.0321853, 424.8625556, 501.4311207, 1873.0000000, 508.1219651, 440.8355967, 329.6468138, 213.4910540, 123.6217689, 76.3891211, 73.9031420, 115.4243214, 198.9800090, 310.9879279, 424.1107071, 501.5284981, 1874.0000000, 509.1718260, 442.3564906, 330.9975073, 214.3264993, 123.9841164, 76.4866367, 73.8459852, 115.1148610, 198.1906208, 309.6444630, 422.5658575, 500.4646743, 1875.0000000, 509.0951179, 443.1599868, 332.1162866, 215.2372455, 124.5119597, 76.7420016, 73.9617863, 115.0422422, 197.6544703, 308.3561252, 420.6086918, 498.4532215, 1876.0000000, 507.8169490, 442.9479428, 332.6606585, 215.9745225, 125.0767991, 77.1030593, 74.2390487, 115.2534289, 197.5466007, 307.4842690, 418.7391443, 495.9531434, 1877.0000000, 505.5561073, 441.6495777, 332.3949278, 216.3021981, 125.5241106, 77.4852180, 74.6265313, 115.7342833, 197.9591423, 307.3236737, 417.4785108, 493.5858272, 1878.0000000, 502.8056116, 439.4733556, 331.2707988, 216.0605746, 125.7065860, 77.7842637, 75.0358600, 116.3997062, 198.8675337, 308.0315284, 417.2595418, 492.0130931, 1879.0000000, 500.2482661, 436.8938450, 329.4725134, 215.2259588, 125.5265414, 77.8996795, 75.3547049, 117.0963659, 200.1073660, 309.5606413, 418.3103721, 491.7899293, 1880.0000000, 498.6268334, 434.5876909, 327.4275526, 213.9619830, 124.9867872, 77.7708591, 75.4753494, 117.6240142, 201.3657242, 311.5808451, 420.4808028, 493.1113216, 1881.0000000, 498.4680198, 433.2134458, 325.6907879, 212.5996167, 124.2203001, 77.4205744, 75.3516273, 117.8232701, 202.2939860, 313.5704162, 423.2480166, 495.6905354, 1882.0000000, 499.8508743, 433.1381916, 324.7118743, 211.4932508, 123.4298412, 76.9434378, 75.0179782, 117.6415437, 202.6459856, 315.0105939, 425.9030714, 498.8677295, 1883.0000000, 502.4013914, 434.3368241, 324.6941449, 210.8976314, 122.8102467, 76.4658356, 74.5719365, 117.1491687, 202.3683374, 315.5764852, 427.8073016, 501.8525198, 1884.0000000, 505.4489115, 436.4388296, 325.5584274, 210.8970547, 122.4827830, 76.0959853, 74.1285337, 116.4950214, 201.5934096, 315.2262746, 428.5987887, 503.9938634, 1885.0000000, 508.2763869, 438.9001427, 327.0259674, 211.4221486, 122.4791948, 75.8969864, 73.7807575, 115.8394631, 200.5508682, 314.1458745, 428.2329882, 504.9248699, 1886.0000000, 510.3118965, 441.1762332, 328.7372881, 212.3126040, 122.7652562, 75.8898499, 73.5887962, 115.3194519, 199.4929235, 312.6488002, 426.9077565, 504.5541041, 1887.0000000, 511.1761701, 442.7830553, 330.2985398, 213.3433405, 123.2521309, 76.0568711, 73.5776464, 115.0338736, 198.6569016, 311.1212179, 425.0327209, 503.1024786, 1888.0000000, 510.7819386, 443.4085542, 331.3621276, 214.2660989, 123.8119456, 76.3452370, 73.7340224, 115.0268285, 198.2159676, 309.9259882, 423.1072431, 501.0142124, 1889.0000000, 509.3194158, 442.9573393, 331.6845669, 214.8494885, 124.2971811, 76.6751410, 74.0098566, 115.2867070, 198.2660855, 309.3669251, 421.6639155, 498.9100109, 1890.0000000, 507.2590537, 441.6043001, 331.1934148, 214.9261124, 124.5619511, 76.9454303, 74.3193475, 115.7298188, 198.7826620, 309.6044571, 421.1492914, 497.4725487, 1891.0000000, 505.2974489, 439.8247317, 330.0692682, 214.4729470, 124.5129040, 77.0599155, 74.5529881, 116.2006951, 199.5857395, 310.5571689, 421.7476179, 497.2184978, 1892.0000000, 504.1498780, 438.2773815, 328.7321205, 213.6576528, 124.1639861, 76.9709941, 74.6186735, 116.5194240, 200.3786936, 311.8897120, 423.2744482, 498.2897818, 1893.0000000, 504.2869442, 437.5697211, 327.6965803, 212.7873279, 123.6405564, 76.7039007, 74.4802013, 116.5474435, 200.8411415, 313.0949233, 425.1871348, 500.3503605, 1894.0000000, 505.7317272, 438.0233646, 327.3808989, 212.1985877, 123.1392627, 76.3554141, 74.1827618, 116.2600200, 200.7774005, 313.7071295, 426.7918632, 502.6974742, 1895.0000000, 508.0284695, 439.5277630, 327.9213457, 212.1029444, 122.8321221, 76.0422903, 73.8236259, 115.7455369, 200.1901097, 313.4963288, 427.5459784, 504.5885370, 1896.0000000, 510.4952156, 441.6683491, 329.1910384, 212.5475343, 122.8161819, 75.8577413, 73.5070078, 115.1493221, 199.2351841, 312.4916842, 427.1894392, 505.4564378, 1897.0000000, 512.4473511, 443.8914350, 330.8868988, 213.4412263, 123.1082723, 75.8544647, 73.3163810, 114.6238051, 198.1497327, 310.9262302, 425.7657571, 505.0210196, 1898.0000000, 513.3510757, 445.6377856, 332.6128467, 214.5920306, 123.6544099, 76.0413174, 73.3010759, 114.2937889, 197.1839762, 309.1519808, 423.5759394, 503.3333554, 1899.0000000, 512.9445204, 446.4773227, 333.9785194, 215.7594438, 124.3507857, 76.3892042, 73.4737079, 114.2383438, 196.5474784, 307.5386369, 421.0562508, 500.6900352, 1900.0000000, 511.2261023, 446.1491532, 334.6469315, 216.6863237, 125.0593409, 76.8382373, 73.8144265, 114.4924433, 196.4026488, 306.4499263, 418.7447498, 497.6260575, 1901.0000000, 508.4979591, 444.6382291, 334.4014254, 217.1336745, 125.6168159, 77.2952894, 74.2617985, 115.0250836, 196.8164500, 306.1584558, 417.1686133, 494.8146605, 1902.0000000, 505.3373190, 442.2312649, 333.2406051, 216.9587328, 125.8771558, 77.6520285, 74.7194203, 115.7343880, 197.7329917, 306.7798115, 416.7314690, 492.9290777, 1903.0000000, 502.4849832, 439.4809999, 331.4134213, 216.1746736, 125.7572710, 77.8113409, 75.0720348, 116.4528817, 198.9504597, 308.1989426, 417.5768304, 492.4591546, 1904.0000000, 500.6676970, 437.0958275, 329.3984576, 214.9884842, 125.2864529, 77.7271430, 75.2215947, 116.9851620, 200.1431401, 310.0349715, 419.4601412, 493.4855622, 1905.0000000, 500.3220232, 435.6937553, 327.7528602, 213.7522319, 124.6190480, 77.4393024, 75.1396987, 117.1954545, 200.9850389, 311.7617989, 421.7980587, 495.6058158, 1906.0000000, 501.3926840, 435.5347986, 326.8662947, 212.7995763, 123.9579036, 77.0506360, 74.8763749, 117.0634424, 201.2861602, 312.9259336, 423.9169290, 498.1333989, 1907.0000000, 503.4244867, 436.4969645, 326.8649720, 212.3400648, 123.4780069, 76.6813401, 74.5312801, 116.6768340, 201.0424815, 313.2881485, 425.2718089, 500.3308475, 1908.0000000, 505.7356498, 438.1542956, 327.6066572, 212.4110988, 123.2737969, 76.4255099, 74.2109286, 116.1837571, 200.4112225, 312.8798727, 425.6165664, 501.6619167, 1909.0000000, 507.6750139, 439.9702712, 328.7866555, 212.9123978, 123.3545377, 76.3314676, 73.9953999, 115.7315624, 199.6196612, 311.9213768, 424.9942136, 501.8771517, 1910.0000000, 508.7660145, 441.4418378, 330.0427723, 213.6637442, 123.6672725, 76.4062074, 73.9309120, 115.4382605, 198.9011961, 310.7309376, 423.6615057, 500.9972647, 1911.0000000, 508.7499430, 442.1650159, 331.0099530, 214.4377685, 124.1120305, 76.6211399, 74.0300854, 115.3834729, 198.4660646, 309.6752089, 422.0477979, 499.3213988, 1912.0000000, 507.6506767, 441.9205869, 331.3866671, 214.9938851, 124.5526841, 76.9123865, 74.2657432, 115.5887611, 198.4531671, 309.0818445, 420.6455423, 497.3458188, 1913.0000000, 505.7653086, 440.7287151, 331.0081503, 215.1330134, 124.8455855, 77.1935187, 74.5771104, 116.0181846, 198.9167920, 309.2002908, 419.9447135, 495.6968171, 1914.0000000, 503.6346577, 438.8711250, 329.8952999, 214.7396574, 124.8614209, 77.3625427, 74.8674766, 116.5610560, 199.7795944, 310.1131900, 420.3090372, 495.0079142, 1915.0000000, 501.9736665, 436.9033008, 328.3270577, 213.8646639, 124.5443386, 77.3366348, 75.0273541, 117.0440228, 200.8109891, 311.6472736, 421.8022897, 495.6823133, 1916.0000000, 501.4349467, 435.4918336, 326.7808566, 212.7410337, 123.9539376, 77.0935733, 74.9788820, 117.2879950, 201.6827501, 313.3830244, 424.1027480, 497.6998068, 1917.0000000, 502.3503165, 435.1684098, 325.7628386, 211.7066471, 123.2525204, 76.6883594, 74.7133509, 117.1832518, 202.0900917, 314.7869568, 426.5809827, 500.5861178, 1918.0000000, 504.5889557, 436.1298541, 325.6216068, 211.0789444, 122.6448503, 76.2347524, 74.2999801, 116.7423972, 201.8826795, 315.4202668, 428.5219582, 503.5613548, 1919.0000000, 507.5822927, 438.1527668, 326.4102234, 211.0258910, 122.2897609, 75.8519875, 73.8493325, 116.0855984, 201.1194744, 315.1193072, 429.4284641, 505.8835955, 1920.0000000, 510.6056122, 440.7568898, 327.9388946, 211.5511292, 122.2623552, 75.6252995, 73.4661978, 115.3718642, 199.9937012, 313.9731397, 429.1005951, 507.0200305, 1921.0000000, 512.9722500, 443.3604859, 329.8674665, 212.5324781, 122.5603302, 75.5974678, 73.2293344, 114.7569150, 198.7651733, 312.2646522, 427.6479679, 506.7480555, 1922.0000000, 514.1794780, 445.4073001, 331.7862081, 213.7601405, 123.1156287, 75.7678708, 73.1805471, 114.3603043, 197.6894296, 310.3732148, 425.4206469, 505.1713465, 1923.0000000, 514.0018012, 446.4802545, 333.3003260, 214.9821248, 123.8133565, 76.0987573, 73.3242848, 114.2525091, 196.9731261, 308.6848938, 422.8984517, 502.6494901, 1924.0000000, 512.4973344, 446.3584887, 334.0901049, 215.9425963, 124.5099468, 76.5233313, 73.6319524, 114.4552374, 196.7629489, 307.5565313, 420.6364038, 499.7588485, 1925.0000000, 510.0207954, 445.0719749, 333.9663234, 216.4127788, 125.0419262, 76.9437462, 74.0335413, 114.9211676, 197.1005935, 307.2367051, 419.1574493, 497.2019360, 1926.0000000, 507.2052744, 442.9701318, 332.9782539, 216.2800771, 125.2755558, 77.2538046, 74.4280597, 115.5323833, 197.8947767, 307.7883995, 418.8133134, 495.6245339, 1927.0000000, 504.8008354, 440.6435650, 331.4217995, 215.5960312, 125.1505975, 77.3672841, 74.7038964, 116.1138699, 198.9118451, 309.0307409, 419.6592824, 495.4348827, 1928.0000000, 503.4875735, 438.7966275, 329.8014152, 214.6028775, 124.7256640, 77.2586632, 74.7799845, 116.4840290, 199.8209781, 310.5352959, 421.3521345, 496.5867074, 1929.0000000, 503.5858221, 437.9711620, 328.6432264, 213.6537782, 124.1699412, 76.9854927, 74.6498892, 116.5388496, 200.3299218, 311.7814781, 423.2567092, 498.5692682, 1930.0000000, 504.9102426, 438.3159652, 328.2664003, 213.0518389, 123.6814813, 76.6580198, 74.3813873, 116.2958428, 200.3122212, 312.3838904, 424.7288042, 500.6587669, 1931.0000000, 506.9141381, 439.6031289, 328.7111130, 212.9536896, 123.4107273, 76.3885896, 74.0770429, 115.8644338, 199.8206483, 312.1938100, 425.3111843, 502.1572145, 1932.0000000, 508.8931482, 441.3468018, 329.7722393, 213.3507943, 123.4259967, 76.2582886, 73.8375133, 115.3987878, 199.0494460, 311.3264937, 424.8711664, 502.6211260, 1933.0000000, 510.2300354, 442.9906988, 331.1027615, 214.1042921, 123.7112294, 76.3000780, 73.7311143, 115.0379083, 198.2355471, 310.0538027, 423.5496349, 501.9104015, 1934.0000000, 510.5202916, 444.0488927, 332.3222271, 215.0077781, 124.1935927, 76.5077569, 73.7924423, 114.8875589, 197.6087774, 308.7236120, 421.6850935, 500.1620190, 1935.0000000, 509.6060853, 444.1668959, 333.0684918, 215.8168044, 124.7558386, 76.8396679, 74.0211996, 115.0101297, 197.3615744, 307.7035682, 419.7528655, 497.7702781, 1936.0000000, 507.6188481, 443.1985661, 333.0647576, 216.2852388, 125.2483808, 77.2197713, 74.3773979, 115.4091424, 197.6105819, 307.3095247, 418.2718478, 495.3133314, 1937.0000000, 504.9723197, 441.2669858, 332.2028904, 216.2283059, 125.5217299, 77.5508530, 74.7857847, 116.0247415, 198.3733871, 307.7505388, 417.7139847, 493.4509828, 1938.0000000, 502.2941289, 438.7579028, 330.5819597, 215.5672864, 125.4543814, 77.7265731, 75.1383335, 116.7227397, 199.5306307, 309.0523654, 418.3918843, 492.8041743, 1939.0000000, 500.3453473, 436.3147009, 328.5694025, 214.4111781, 125.0159706, 77.6707282, 75.3218464, 117.3115329, 200.8075926, 310.9659638, 420.2732997, 493.6905313, 1940.0000000, 499.7392929, 434.6225829, 326.6956787, 213.0458097, 124.3000510, 77.3786322, 75.2675598, 117.6118216, 201.8546688, 313.0156686, 422.9429803, 495.9779927, 1941.0000000, 500.7134497, 434.1655954, 325.4669570, 211.8338920, 123.4952100, 76.9251723, 74.9844874, 117.5326404, 202.3794212, 314.6562561, 425.7192421, 499.0984308, 1942.0000000, 503.0256224, 435.0468871, 325.1775748, 211.0754600, 122.8087559, 76.4331763, 74.5554109, 117.1092527, 202.2643327, 315.4820355, 427.9028089, 502.2542980, 1943.0000000, 506.0559337, 436.9779849, 325.8265051, 210.9076090, 122.3881652, 76.0206675, 74.0956750, 116.4759776, 201.5976531, 315.3739299, 429.0443135, 504.7366726, 1944.0000000, 509.0810806, 439.4511967, 327.1859794, 211.3031729, 122.2907544, 75.7642544, 73.7057850, 115.7919996, 200.5833611, 314.4499502, 428.9944498, 506.0717967, 1945.0000000, 511.4613908, 441.9047663, 328.9128877, 212.1276860, 122.5032277, 75.6993506, 73.4585766, 115.2074607, 199.4789443, 313.0019165, 427.8901633, 506.0834117, 1946.0000000, 512.7439279, 443.8166555, 330.6088494, 213.1675457, 122.9496024, 75.8182288, 73.3885990, 114.8324127, 198.5288925, 311.4024233, 426.0894770, 504.9058687, 1947.0000000, 512.7512487, 444.8155094, 331.9062917, 214.1791046, 123.5135340, 76.0789556, 73.4945749, 114.7284052, 197.9282179, 310.0267317, 424.0716916, 502.9189760, 1948.0000000, 511.5831940, 444.7278424, 332.5193982, 214.9205251, 124.0522796, 76.4104429, 73.7403713, 114.9037762, 197.8024443, 309.2079572, 422.3752325, 500.7034078, 1949.0000000, 509.6270141, 443.6345262, 332.3061817, 215.1912319, 124.4122774, 76.7149360, 74.0502626, 115.2968024, 198.1671099, 309.1604247, 421.4936985, 498.9527356, 1950.0000000, 507.5382139, 441.9342789, 331.3716323, 214.9196852, 124.4798871, 76.8921326, 74.3202310, 115.7728344, 198.8904515, 309.8815086, 421.7029590, 498.2520876, 1951.0000000, 506.0444481, 440.2395725, 330.0613661, 214.2077941, 124.2287551, 76.8740825, 74.4480175, 116.1544311, 199.7087640, 311.1189672, 422.9521237, 498.8967781, 1952.0000000, 505.7406365, 439.2186921, 328.8898621, 213.3313926, 123.7511412, 76.6607955, 74.3747381, 116.2795051, 200.2902117, 312.3936724, 424.7861962, 500.6891438, 1953.0000000, 506.7986589, 439.3061592, 328.3312208, 212.6363250, 123.2309662, 76.3307453, 74.1214493, 116.0854405, 200.3900276, 313.2056042, 426.5284077, 503.0117341, 1954.0000000, 508.8947375, 440.5239714, 328.6173385, 212.3829593, 122.8553168, 75.9992339, 73.7730697, 115.6288504, 199.9492772, 313.2427616, 427.5688158, 505.1071331, 1955.0000000, 511.3933381, 442.5388930, 329.7000502, 212.6715570, 122.7475664, 75.7693812, 73.4344578, 115.0410973, 199.0794695, 312.4507463, 427.5431145, 506.3248245, 1956.0000000, 513.5803035, 444.8192283, 331.3217108, 213.4525015, 122.9509032, 75.7087041, 73.1990108, 114.4794065, 198.0052396, 311.0157728, 426.4127137, 506.2940343, 1957.0000000, 514.8601077, 446.7886506, 333.1001657, 214.5560406, 123.4286701, 75.8372291, 73.1248260, 114.0755605, 196.9728927, 309.2569945, 424.4054703, 504.9678436, 1958.0000000, 514.8862287, 447.9747011, 334.6428759, 215.7583677, 124.0944339, 76.1390264, 73.2371773, 113.9246617, 196.2076523, 307.5438726, 421.9214265, 502.5657609, 1959.0000000, 513.5646087, 448.0464422, 335.5821398, 216.8004101, 124.8185445, 76.5632878, 73.5262946, 114.0758977, 195.8889648, 306.2488955, 419.4796623, 499.5636574, 1960.0000000, 511.1112216, 446.9103882, 335.6567596, 217.4319677, 125.4431487, 77.0265115, 73.9436242, 114.5190496, 196.1141848, 305.6753649, 417.6170743, 496.6014428, 1961.0000000, 508.0253533, 444.7596650, 334.7930962, 217.4749352, 125.8141307, 77.4244048, 74.4039834, 115.1758996, 196.8694217, 305.9943093, 416.7863554, 494.3657649, 1962.0000000, 505.0073156, 442.0647827, 333.1530466, 216.8823504, 125.8206324, 77.6519062, 74.7952601, 115.8981958, 198.0011510, 307.1736732, 417.2360623, 493.4419675, 1963.0000000, 502.8330391, 439.5227716, 331.1635107, 215.8050852, 125.4539144, 77.6424614, 75.0083107, 116.4905099, 199.2092757, 308.9009842, 418.8330882, 494.0410015, 1964.0000000, 502.0473521, 437.8055610, 329.3796846, 214.5628892, 124.8338486, 77.4094591, 74.9910903, 116.7932825, 200.1582277, 310.6823607, 421.0889071, 495.9105105, 1965.0000000, 502.7621074, 437.3085869, 328.2673516, 213.5116192, 124.1562352, 77.0389970, 74.7691635, 116.7456578, 200.6018948, 312.0153030, 423.3218342, 498.4177241, 1966.0000000, 504.6261216, 438.0268505, 328.0451866, 212.9125603, 123.6145999, 76.6523101, 74.4320775, 116.4067192, 200.4793808, 312.5833951, 424.9198515, 500.8023520, 1967.0000000, 506.9909528, 439.6045722, 328.6446204, 212.8561446, 123.3312727, 76.3550515, 74.0887658, 115.9134545, 199.9086926, 312.3428896, 425.5425570, 502.4500772, 1968.0000000, 509.1723620, 441.5184057, 329.7980915, 213.2785235, 123.3395702, 76.2090669, 73.8277201, 115.4150440, 199.0992330, 311.4603592, 425.1440152, 503.0144664, 1969.0000000, 510.6264419, 443.2442566, 331.1571313, 214.0249108, 123.6079094, 76.2361157, 73.7079574, 115.0426050, 198.2898250, 310.2335731, 423.9206303, 502.4261547, 1970.0000000, 511.0068410, 444.3228880, 332.3387804, 214.8726166, 124.0469245, 76.4171384, 73.7517444, 114.8876002, 197.7002031, 309.0221022, 422.2626455, 500.9122961, 1971.0000000, 510.2565607, 444.4769425, 333.0192973, 215.5845902, 124.5326036, 76.7003048, 73.9452899, 114.9904843, 197.4918840, 308.1659194, 420.6423880, 498.9036711, 1972.0000000, 508.5757641, 443.6343971, 332.9754689, 215.9399813, 124.9209239, 77.0063177, 74.2397636, 115.3365984, 197.7517570, 307.9493238, 419.5662302, 497.0027420, 1973.0000000, 506.4381318, 441.9909372, 332.1573471, 215.7852072, 125.0714847, 77.2354650, 74.5489949, 115.8397571, 198.4478273, 308.5160809, 419.4537147, 495.8652584, 1974.0000000, 504.5293859, 440.0312820, 330.7644306, 215.1130508, 124.8994084, 77.2950286, 74.7647234, 116.3440042, 199.3963122, 309.7742471, 420.4689601, 495.9812487, 1975.0000000, 503.5424366, 438.4055707, 329.2204831, 214.0988689, 124.4241376, 77.1400179, 74.7957398, 116.6688121, 200.2983771, 311.3852158, 422.4235904, 497.4883787, 1976.0000000, 503.9461349, 437.7255240, 328.0497572, 213.0599109, 123.7777335, 76.7988961, 74.6066949, 116.6729363, 200.8246047, 312.8261659, 424.7565932, 500.0345763, 1977.0000000, 505.7534403, 438.3102995, 327.6748803, 212.3401456, 123.1632270, 76.3727858, 74.2458480, 116.3325473, 200.7741567, 313.6177847, 426.7568138, 502.9045269, 1978.0000000, 508.5050777, 440.0533947, 328.2398331, 212.1588670, 122.7585598, 75.9825659, 73.8137383, 115.7374516, 200.1434398, 313.5092677, 427.8478049, 505.3217099, 1979.0000000, 511.4989503, 442.5363616, 329.6235918, 212.5713664, 122.6675156, 75.7264934, 73.4196277, 115.0387119, 199.0903243, 312.5175350, 427.7359480, 506.6732887, 1980.0000000, 514.0118817, 445.1867951, 331.5203869, 213.4908388, 122.9119434, 75.6616631, 73.1522361, 114.3970501, 197.8623419, 310.8788323, 426.4484477, 506.6422545, 1981.0000000, 515.4696093, 447.4180305, 333.5233882, 214.7241400, 123.4397043, 75.7990864, 73.0636616, 113.9421797, 196.7170192, 308.9495967, 424.2765195, 505.2495376, 1982.0000000, 515.5710375, 448.7705464, 335.2306762, 216.0314772, 124.1510683, 76.1134238, 73.1706698, 113.7599962, 195.8749615, 307.1124251, 421.6600288, 502.7736354, 1983.0000000, 514.2749684, 448.9423643, 336.2800854, 217.1472697, 124.9077368, 76.5464214, 73.4555747, 113.8891276, 195.5054829, 305.7418851, 419.1483870, 499.7487180, 1984.0000000, 511.8652551, 447.8917687, 336.4357205, 217.8262146, 125.5477089, 77.0080309, 73.8607351, 114.3036071, 195.6818962, 305.1175530, 417.2729289, 496.8434231, 1985.0000000, 508.8975102, 445.8723175, 335.6671623, 217.9108671, 125.9221303, 77.3921962, 74.2943574, 114.9093669, 196.3594174, 305.3683848, 416.4507596, 494.7391365, 1986.0000000, 506.1069739, 443.4143261, 334.1945488, 217.3936644, 125.9395318, 77.6010502, 74.6444678, 115.5472333, 197.3504760, 306.3968518, 416.8453979, 493.9458009, 1987.0000000, 504.2335531, 441.2241280, 332.4808024, 216.4637764, 125.6182385, 77.5844131, 74.8134247, 116.0277241, 198.3422581, 307.8392439, 418.2282860, 494.5585710, 1988.0000000, 503.7261629, 439.9246987, 331.0769254, 215.4607413, 125.1017318, 77.3758051, 74.7701076, 116.2181103, 199.0222282, 309.1927211, 420.0426135, 496.2005583, 1989.0000000, 504.5545612, 439.7971915, 330.3835960, 214.7180776, 124.5871479, 77.0719575, 74.5589144, 116.0934824, 199.2010127, 310.0107128, 421.6214276, 498.1875550, 1990.0000000, 506.2657809, 440.7274009, 330.5377413, 214.4524676, 124.2512601, 76.7920055, 74.2773830, 115.7398086, 198.8779536, 310.0662793, 422.4334274, 499.7841076, 1991.0000000, 508.1675603, 442.2781685, 331.3929436, 214.7018514, 124.1891628, 76.6294759, 74.0302499, 115.3025078, 198.2104757, 309.4009076, 422.2511918, 500.4658139, 1992.0000000, 509.6037626, 443.8988800, 332.6337177, 215.3619395, 124.4095969, 76.6326177, 73.8969134, 114.9271081, 197.4250795, 308.2419539, 421.1352622, 500.0002570, 1993.0000000, 510.0997044, 445.0734632, 333.8828478, 216.2442043, 124.8572525, 76.8083491, 73.9238946, 114.7317725, 196.7560031, 306.9154874, 419.3635008, 498.4357426, 1994.0000000, 509.4108752, 445.3897732, 334.7558847, 217.1056505, 125.4246295, 77.1252001, 74.1223305, 114.7943439, 196.4111504, 305.7896981, 417.3815628, 496.1053083, 1995.0000000, 507.5955147, 444.6441384, 334.9481722, 217.6968932, 125.9698280, 77.5169687, 74.4643442, 115.1361419, 196.5281211, 305.1900797, 415.6847434, 493.5190400, 1996.0000000, 504.9700839, 442.8659801, 334.2886470, 217.8062226, 126.3397760, 77.8924841, 74.8871403, 115.7216869, 197.1643286, 305.3709803, 414.7733548, 491.3265501, 1997.0000000, 502.1093272, 440.3650436, 332.8072051, 217.3118964, 126.3958098, 78.1432252, 75.2899048, 116.4387971, 198.2450368, 306.4202177, 415.0165355, 490.1725870, 1998.0000000, 499.7504369, 437.7227081, 330.7975342, 216.2643504, 126.0745108, 78.1788109, 75.5566262, 117.1100104, 199.5429735, 308.1777007, 416.4971449, 490.4814571, 1999.0000000, 498.5713137, 435.6327155, 328.7568330, 214.9022267, 125.4309251, 77.9691559, 75.5998689, 117.5453651, 200.7253870, 310.2364160, 418.9229633, 492.2710601, 2000.0000000, 498.9441330, 434.6670150, 327.2237886, 213.5808861, 124.6305908, 77.5644931, 75.4002760, 117.6161499, 201.4644366, 312.0508846, 421.6736806, 495.0925747, 2001.0000000, 500.7712632, 435.0581652, 326.5807832, 212.6425366, 123.8905834, 77.0815411, 75.0229852, 117.3202578, 201.5835230, 313.1576828, 424.0307154, 498.1854897, 2002.0000000, 503.5137097, 436.6115673, 326.9058395, 212.2743452, 123.3812538, 76.6444435, 74.5779835, 116.7665109, 201.1111176, 313.3499930, 425.4639856, 500.8042240, 2003.0000000, 506.4657688, 438.8734820, 328.0339489, 212.4995499, 123.1908743, 76.3463544, 74.1747309, 116.1121692, 200.2212094, 312.6748721, 425.7268495, 502.3880123, 2004.0000000, 508.9388176, 441.2741651, 329.6394342, 213.2080881, 123.3258949, 76.2363014, 73.8972549, 115.5155678, 199.1637536, 311.3822747, 424.8793536, 502.6745734, 2005.0000000, 510.4174832, 443.2659505, 331.3266057, 214.2012773, 123.7255420, 76.3187485, 73.7922909, 115.1010409, 198.1913437, 309.8267428, 423.2218906, 501.7145375, 2006.0000000, 510.6468060, 444.4303160, 332.7129115, 215.2397970, 124.2835796, 76.5617713, 73.8699032, 114.9459564, 197.5146676, 308.3812563, 421.1927784, 499.8065261, 2007.0000000, 509.6320662, 444.5192590, 333.4733768, 216.0719563, 124.8617158, 76.9028246, 74.1062975, 115.0797423, 197.2900083, 307.4056930, 419.3292708, 497.4873642, 2008.0000000, 507.6852973, 443.5373499, 333.4133194, 216.4733513, 125.3017824, 77.2480415, 74.4354318, 115.4610943, 197.5673500, 307.1518830, 418.1390784, 495.4183255, 2009.0000000, 505.3852577, 441.7901357, 332.5604467, 216.3269115, 125.4723366, 77.4946771, 74.7607520, 115.9798922, 198.2687349, 307.6996601, 417.9844296, 494.2369731, 2010.0000000, 503.4542937, 439.8352661, 331.1872241, 215.6738537, 125.3109455, 77.5572124, 74.9725164, 116.4652326, 199.1686592, 308.8805544, 418.9325083, 494.3544591, 2011.0000000, 502.5610065, 438.3570688, 329.7806646, 214.7472552, 124.8736267, 77.4103873, 74.9911089, 116.7383263, 199.9414516, 310.2742639, 420.6500622, 495.7308864, 2012.0000000, 503.0234492, 437.8873352, 328.8553039, 213.8927276, 124.3269228, 77.1118422, 74.8116693, 116.6987520, 200.3011387, 311.3688725, 422.5115845, 497.8642611, 2013.0000000, 504.6614087, 438.5743724, 328.7257988, 213.4084298, 123.8657822, 76.7705624, 74.5017375, 116.3645731, 200.1224236, 311.7791770, 423.8708919, 500.0281892, 2014.0000000, 506.9277162, 440.1925331, 329.4354793, 213.4535893, 123.6425416, 76.5005471, 74.1662080, 115.8494747, 199.4644563, 311.3616481, 424.2688466, 501.5132841, 2015.0000000, 509.1018858, 442.2421586, 330.7710272, 214.0160965, 123.7242931, 76.3826694, 73.9063240, 115.3098574, 198.5265802, 310.2387301, 423.5773397, 501.8731318, 2016.0000000, 510.5574299, 444.1583272, 332.3819638, 214.9576806, 124.0965993, 76.4513346, 73.7920526, 114.8874594, 197.5502986, 308.6876281, 421.9381040, 500.9570558, 2017.0000000, 510.8685675, 445.4330695, 333.8740485, 216.0672625, 124.6867581, 76.7018041, 73.8602051, 114.6919903, 196.7723192, 307.0660601, 419.6981774, 498.9013203, 2018.0000000, 509.8618824, 445.6875394, 334.8646738, 217.0900278, 125.3748968, 77.0930249, 74.1125029, 114.7898059, 196.3919313, 305.7518023, 417.3460037, 496.1091795, 2019.0000000, 507.6653176, 444.7598144, 335.0587561, 217.7683891, 126.0076441, 77.5490863, 74.5109680, 115.1885620, 196.5320309, 305.0683662, 415.4068738, 493.1602731, 2020.0000000, 504.6826922, 442.7508923, 334.3225919, 217.8994000, 126.4276658, 77.9712771, 74.9824586, 115.8353454, 197.2239736, 305.2441278, 414.3749000, 490.7353101, 2021.0000000, 501.5544360, 440.0431702, 332.7382526, 217.3852189, 126.5010259, 78.2476092, 75.4173498, 116.5990203, 198.3579534, 306.3187089, 414.5771088, 489.4688937, 2022.0000000, 499.0532648, 437.2842973, 330.6663876, 216.3218841, 126.1862810, 78.2954371, 75.6996849, 117.2912263, 199.6734661, 308.0682602, 416.0087446, 489.7023552, 2023.0000000, 497.8094427, 435.1679538, 328.6356213, 214.9853490, 125.5655671, 78.1011295, 75.7538248, 117.7296386, 200.8301181, 310.0433470, 418.2916700, 491.3375071, 2024.0000000, 498.0855525, 434.1957126, 327.1612752, 213.7382216, 124.8215013, 77.7319754, 75.5799149, 117.8136605, 201.5338045, 311.7177584, 420.7810326, 493.8456655, 2025.0000000, 499.6691633, 434.4904962, 326.5506408, 212.8867904, 124.1615963, 77.3073509, 75.2540102, 117.5674681, 201.6578007, 312.6948358, 422.8122346, 496.4738742, 2026.0000000, 501.9745706, 435.7814948, 326.8098434, 212.5706359, 123.7330145, 76.9427169, 74.8856705, 117.1126850, 201.2724680, 312.8477293, 423.9573480, 498.5602248, 2027.0000000, 504.3272517, 437.5939370, 327.7284127, 212.7708821, 123.5967019, 76.7154157, 74.5731497, 116.5998361, 200.5622173, 312.2728346, 424.0638066, 499.6552469, 2028.0000000, 506.1219479, 439.3899495, 328.9727267, 213.3552656, 123.7396851, 76.6607677, 74.3881194, 116.1734823, 199.7696764, 311.2406169, 423.2607970, 499.6058883, 2029.0000000, 506.9503624, 440.6873241, 330.1654851, 214.1167169, 124.0867507, 76.7705255, 74.3638457, 115.9390134, 199.1247209, 310.0957450, 421.8780003, 498.5426845, 2030.0000000, 506.6619574, 441.1515610, 330.9647946, 214.8221825, 124.5239483, 77.0027572, 74.4982623, 115.9551591, 198.8121061, 309.1894962, 420.3618025, 496.8244611, 2031.0000000, 505.3644279, 440.6363759, 331.1095961, 215.2421965, 124.9119436, 77.2864669, 74.7544978, 116.2285171, 198.9519097, 308.8386040, 419.2217519, 495.0054984, 2032.0000000, 503.4419949, 439.2445177, 330.4855564, 215.1933931, 125.1029670, 77.5242147, 75.0548990, 116.6933287, 199.5516630, 309.2401185, 418.9180505, 493.7360529, 2033.0000000, 501.5201929, 437.3731774, 329.2154700, 214.6224396, 124.9931833, 77.6192039, 75.2961737, 117.2144199, 200.4787267, 310.3880664, 419.7133029, 493.5737799, 2034.0000000, 500.2958670, 435.6185891, 327.6466992, 213.6403190, 124.5627540, 77.5056263, 75.3749879, 117.6098213, 201.4622930, 312.0238306, 421.5492284, 494.7998266, 2035.0000000, 500.3440903, 434.6347829, 326.2933838, 212.5318964, 123.9128440, 77.1885112, 75.2341398, 117.7145549, 202.1618373, 313.6586237, 423.9663437, 497.2133655, 2036.0000000, 501.8273922, 434.8434903, 325.6227088, 211.6448320, 123.2329658, 76.7512523, 74.8978280, 117.4648872, 202.3225228, 314.7751109, 426.2746470, 500.1951833, 2037.0000000, 504.4256831, 436.2686350, 325.8673467, 211.2422889, 122.7147797, 76.3138897, 74.4554910, 116.9194317, 201.8771237, 315.0374958, 427.8355755, 502.9706025, 2038.0000000, 507.5026189, 438.5838749, 326.9865967, 211.4310660, 122.4877542, 75.9854027, 74.0187170, 116.2173918, 200.9383642, 314.3730200, 428.2458198, 504.8477156, 2039.0000000, 510.3168745, 441.2464231, 328.7195912, 212.1616353, 122.5971368, 75.8367129, 73.6866407, 115.5261011, 199.7425598, 312.9683248, 427.4454501, 505.4229835, 2040.0000000, 512.2494566, 443.6724916, 330.6861570, 213.2678985, 123.0091456, 75.8904539, 73.5213793, 114.9852796, 198.5468970, 311.1455712, 425.6416321, 504.6052312, 2041.0000000, 512.9089504, 445.3626035, 332.4846179, 214.5257973, 123.6393064, 76.1330309, 73.5520024, 114.6984775, 197.5931545, 309.2925535, 423.2377914, 502.5929619, 2042.0000000, 512.1658289, 445.9572044, 333.7336824, 215.6728587, 124.3580677, 76.5144700, 73.7704090, 114.7195328, 197.0710092, 307.7964472, 420.7609656, 499.8486969, 2043.0000000, 510.2051016, 445.3330429, 334.1567640, 216.4556089, 125.0088888, 76.9530624, 74.1300991, 115.0420554, 197.0860665, 306.9732446, 418.7576407, 497.0042208, 2044.0000000, 507.4961786, 443.6474045, 333.6562640, 216.6874937, 125.4377099, 77.3469138, 74.5494066, 115.5941398, 197.6359280, 307.0123897, 417.6993749, 494.7520590, 2045.0000000, 504.7222816, 441.3379683, 332.3635562, 216.3040907, 125.5275572, 77.5900577, 74.9174055, 116.2313282, 198.5755454, 307.8962060, 417.8531014, 493.6907139, 2046.0000000, 502.6571246, 439.0830179, 330.6817193, 215.4396085, 125.2627974, 77.6147536, 75.1267517, 116.7638444, 199.6170896, 309.3318310, 419.1102693, 494.0540193, 2047.0000000, 501.8544230, 437.5442804, 329.1437053, 214.3926150, 124.7503331, 77.4281913, 75.1224929, 117.0325993, 200.4317255, 310.8418183, 421.0091283, 495.6220923, 2048.0000000, 502.4555666, 437.1339637, 328.2174674, 213.5127957, 124.1789614, 77.1114629, 74.9263746, 116.9736882, 200.7733129, 311.9289755, 422.8787433, 497.7769664, 2049.0000000, 504.1249996, 437.8594916, 328.1278800, 213.0618525, 123.7399610, 76.7833998, 74.6257518, 116.6444578, 200.5814019, 312.2812968, 424.1143187, 499.7648127, 2050.0000000, 506.2183219, 439.3673706, 328.8075048, 213.1299930, 123.5545479, 76.5484608, 74.3284497, 116.1812440, 199.9760919, 311.8629802, 424.3882201, 500.9830529, 2051.0000000, 508.0571233, 441.1350420, 329.9879417, 213.6526834, 123.6556533, 76.4681357, 74.1226106, 115.7329874, 199.1679949, 310.8455408, 423.6628420, 501.0907838, 2052.0000000, 509.0939999, 442.6275773, 331.3092554, 214.4678930, 124.0086354, 76.5633793, 74.0675491, 115.4328855, 198.4023906, 309.5420269, 422.1602837, 500.0476220, 2053.0000000, 509.0022735, 443.3890743, 332.3809012, 215.3437509, 124.5181476, 76.8118545, 74.1832521, 115.3703056, 197.8979770, 308.3151595, 420.2825137, 498.1014511, 2054.0000000, 507.7451020, 443.1515581, 332.8771118, 216.0369233, 125.0553325, 77.1591505, 74.4546513, 115.5857575, 197.8187128, 307.5117938, 418.5164705, 495.7056006, 2055.0000000, 505.5460369, 441.8561143, 332.5743042, 216.3192231, 125.4692160, 77.5215224, 74.8298898, 116.0628301, 198.2525356, 307.4213628, 417.3794902, 493.4818559, 2056.0000000, 502.9035543, 439.7188092, 331.4304185, 216.0341581, 125.6129520, 77.7936255, 75.2179946, 116.7114170, 199.1669744, 308.1927749, 417.3010075, 492.0997406, 2057.0000000, 500.5212559, 437.2429278, 329.6568750, 215.1765063, 125.3978104, 77.8777306, 75.5053555, 117.3706779, 200.3786833, 309.7447958, 418.4644892, 492.0702667, 2058.0000000, 499.1110901, 435.0936804, 327.6857879, 213.9215586, 124.8377142, 77.7215089, 75.5914150, 117.8476102, 201.5790093, 311.7443599, 420.7075548, 493.5704015, 2059.0000000, 499.1823217, 433.9176503, 326.0665202, 212.5998538, 124.0677816, 77.3503221, 75.4325025, 117.9840892, 202.4149733, 313.6530857, 423.4768207, 496.2764982, 2060.0000000, 500.7824045, 434.0632087, 325.2432484, 211.5691940, 123.2974591, 76.8660708, 75.0721678, 117.7410293, 202.6563664, 314.9602233, 426.0522074, 499.4969497, 2061.0000000, 503.4943975, 435.4646330, 325.3900810, 211.0681381, 122.7151316, 76.3942734, 74.6111708, 117.1987577, 202.2700192, 315.3674595, 427.8159987, 502.4464025, 2062.0000000, 506.6374043, 437.7348003, 326.4126118, 211.1700151, 122.4356261, 76.0399649, 74.1632569, 116.5077611, 201.3962074, 314.8473098, 428.4197231, 504.4770391, 2063.0000000, 509.4879025, 440.3206189, 328.0251366, 211.8016567, 122.4891020, 75.8659837, 73.8228238, 115.8338948, 200.2780247, 313.6082318, 427.8406447, 505.2292616, 2064.0000000, 511.4608447, 442.6515402, 329.8424785, 212.7846332, 122.8310104, 75.8876670, 73.6460903, 115.3115942, 199.1719837, 311.9837176, 426.3161248, 504.6593437, 2065.0000000, 512.2158184, 444.2651386, 331.4786782, 213.8950906, 123.3714600, 76.0856252, 73.6556670, 115.0355908, 198.3090135, 310.3544993, 424.2545955, 502.9889609, 2066.0000000, 511.6603216, 444.8375318, 332.5737265, 214.8763083, 123.9784026, 76.4050779, 73.8371011, 115.0499658, 197.8668750, 309.0991792, 422.1870578, 500.7046245, 2067.0000000, 510.0229619, 444.2946218, 332.8880846, 215.4925247, 124.4988447, 76.7615626, 74.1371825, 115.3353091, 197.9299117, 308.5091619, 420.6431274, 498.4422108, 2068.0000000, 507.8031807, 442.8402977, 332.3681435, 215.5845014, 124.7889390, 77.0535730, 74.4683050, 115.8034566, 198.4641336, 308.7305399, 420.0545559, 496.8770349, 2069.0000000, 505.7015692, 440.9596770, 331.2028216, 215.1335068, 124.7569809, 77.1854237, 74.7208595, 116.2982361, 199.2878117, 309.6788414, 420.6040238, 496.5320025, 2070.0000000, 504.4502093, 439.3333108, 329.8296530, 214.3161842, 124.4194987, 77.1091012, 74.8002344, 116.6332855, 200.0900768, 310.9930177, 422.0713640, 497.5134908, 2071.0000000, 504.4985217, 438.5676125, 328.7753812, 213.4541186, 123.9126629, 76.8572158, 74.6771420, 116.6790695, 200.5613424, 312.1723405, 423.9066381, 499.4607601, 2072.0000000, 505.8353106, 438.9530141, 328.4374142, 212.8730823, 123.4286187, 76.5251040, 74.3968212, 116.4128781, 200.5120474, 312.7620068, 425.4275631, 501.6769730, 2073.0000000, 508.0043508, 440.3765024, 328.9512883, 212.7856926, 123.1409396, 76.2310268, 74.0584300, 115.9262697, 199.9505254, 312.5396367, 426.0958087, 503.4136978, 2074.0000000, 510.3055341, 442.4006295, 330.1720509, 213.2290491, 123.1425369, 76.0669637, 73.7666585, 115.3678352, 199.0421363, 311.5546438, 425.6811458, 504.1310987, 2075.0000000, 512.0662776, 444.4675137, 331.7845821, 214.1007282, 123.4427217, 76.0810197, 73.6011661, 114.8855749, 198.0205917, 310.0439762, 424.2453351, 503.5809070, 2076.0000000, 512.7867764, 446.0422579, 333.4051182, 215.2126975, 123.9879792, 76.2814950, 73.6102056, 114.6018283, 197.1307647, 308.3521007, 422.0825913, 501.8104120, 2077.0000000, 512.2018450, 446.6878594, 334.6333261, 216.3160712, 124.6696337, 76.6368239, 73.8049869, 114.5954469, 196.5853182, 306.8588692, 419.6538783, 499.1579950, 2078.0000000, 510.3574848, 446.1791650, 335.1488669, 217.1562875, 125.3465874, 77.0830586, 74.1605209, 114.8925361, 196.5307617, 305.9054799, 417.4744943, 496.1462911, 2079.0000000, 507.5605474, 444.5176629, 334.7518221, 217.5045182, 125.8598266, 77.5282741, 74.6153943, 115.4615690, 197.0333916, 305.7637143, 416.0714796, 493.4525732, 2080.0000000, 504.3990643, 442.0041394, 333.4513313, 217.2220354, 126.0627122, 77.8617161, 75.0693216, 116.1940202, 198.0270387, 306.5362856, 415.8369543, 491.7476552, 2081.0000000, 501.6275548, 439.2181636, 331.5242278, 216.3406635, 125.8803240, 77.9880918, 75.4050112, 116.9153302, 199.2943510, 308.0819554, 416.8798456, 491.4870685, 2082.0000000, 499.9504741, 436.8644607, 329.4604329, 215.0831462, 125.3542030, 77.8690660, 75.5301167, 117.4346065, 200.5104973, 310.0135219, 418.9400633, 492.7277851, 2083.0000000, 499.7781071, 435.5413595, 327.8075403, 213.7999037, 124.6404439, 77.5465799, 75.4176698, 117.6158439, 201.3452751, 311.7946028, 421.4177371, 495.0478630, 2084.0000000, 501.0393694, 435.5015784, 326.9575044, 212.8327158, 123.9506536, 77.1309000, 75.1255138, 117.4483704, 201.6176480, 312.9726002, 423.6247053, 497.7290530, 2085.0000000, 503.2361116, 436.5808596, 327.0051373, 212.3737434, 123.4530704, 76.7412182, 74.7557581, 117.0273738, 201.3388066, 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