# 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 : 1 # 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, 403.8945917, 413.1721428, 422.1169984, 419.2703059, 405.8041020, 393.9587782, 398.1142816, 419.6129406, 441.7761094, 445.5458558, 428.3912133, 407.6576117, -2998.0000000, 402.5284347, 412.6817030, 422.6148372, 420.6334547, 407.6872696, 395.9493785, 399.8419564, 420.7048697, 441.8806239, 444.5811006, 426.6761315, 405.6779942, -2997.0000000, 400.6825868, 411.3026146, 422.0010001, 420.9249652, 408.7851402, 397.5926203, 401.7272235, 422.4712696, 443.0699817, 444.8328218, 425.9761100, 404.2984384, -2996.0000000, 398.9428369, 409.5211739, 420.5461358, 420.1270170, 408.8015611, 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-2978.0000000, 400.8505750, 409.1669831, 418.0216301, 416.0035235, 404.0152080, 393.8809471, 399.6971175, 422.6196577, 445.5898674, 449.1412725, 430.8334375, 408.5617245, -2977.0000000, 401.9464437, 410.8364889, 419.9139652, 417.6845566, 405.1159296, 394.1978775, 399.1585589, 421.2529869, 443.6459293, 447.1522741, 429.3574609, 407.8907322, -2976.0000000, 402.1280036, 411.8082177, 421.4775061, 419.4801359, 406.7330205, 395.3131491, 399.5590820, 420.7911638, 442.3345685, 445.3184579, 427.5305484, 406.4973561, -2975.0000000, 401.3896508, 411.8424190, 422.2910442, 420.8899356, 408.4043185, 396.8940921, 400.7552189, 421.3254084, 441.9920920, 444.1472203, 425.8875352, 404.8117827, -2974.0000000, 399.9765622, 410.9509961, 422.1238045, 421.4960817, 409.6309364, 398.4707205, 402.3941143, 422.7001874, 442.7235061, 443.9941131, 424.9331351, 403.3582859, -2973.0000000, 398.3294068, 409.4029435, 421.0008294, 421.0645148, 409.9789275, 399.5092887, 403.9443440, 424.4949598, 444.3369423, 444.9628895, 425.0303389, 402.6573187, -2972.0000000, 397.0249071, 407.7291153, 419.2884015, 419.7006615, 409.2672218, 399.5869505, 404.8206842, 426.0713736, 446.2963198, 446.7700062, 426.2054093, 403.0046248, -2971.0000000, 396.5567131, 406.5385078, 417.5913175, 417.8636203, 407.7000380, 398.6097404, 404.6415033, 426.8181031, 447.8985508, 448.8176657, 428.1161802, 404.3550447, -2970.0000000, 397.1544974, 406.2940109, 416.5251484, 416.1914414, 405.7946529, 396.8636292, 403.3933888, 426.3930052, 448.5282901, 450.3897614, 430.1500032, 406.3221702, -2969.0000000, 398.6968953, 407.1482138, 416.4940285, 415.2607418, 404.1768281, 394.8962295, 401.4345164, 424.8609297, 447.8992291, 450.9197174, 431.6425478, 408.3142275, -2968.0000000, 400.7609416, 408.9059784, 417.5672688, 415.3922549, 403.3491641, 393.2938238, 399.3313666, 422.6436736, 446.1494349, 450.2021540, 432.1294081, 409.7616669, -2967.0000000, 402.7972711, 411.1333518, 419.5084942, 416.5923398, 403.5503498, 392.4766375, 397.6180326, 420.2911157, 443.6925694, 448.3706644, 431.4341818, 410.2632005, -2966.0000000, 404.2928435, 413.3129814, 421.9052595, 418.6409530, 404.7894952, 392.6729443, 396.7109938, 418.3514990, 441.0861042, 445.8193425, 429.6687981, 409.6457250, -2965.0000000, 404.8560712, 414.9272102, 424.2324069, 421.1261290, 406.8484834, 393.8867295, 396.8363462, 417.2559745, 438.8931931, 443.0916045, 427.1949715, 408.0068674, -2964.0000000, 404.3192351, 415.5882625, 425.9767370, 423.5396767, 409.3403427, 395.9197044, 398.0148779, 417.2600185, 437.5775157, 440.7497651, 424.5139490, 405.6616551, -2963.0000000, 402.7503171, 415.1014766, 426.7233835, 425.3559060, 411.7623932, 398.3963076, 400.0620998, 418.4167198, 437.4473466, 439.2985645, 422.1930563, 403.1004937, -2962.0000000, 400.4616511, 413.5266770, 426.2495264, 426.1231937, 413.5572588, 400.7833943, 402.5678557, 420.5216242, 438.5706402, 439.0793979, 420.7594386, 400.9106018, -2961.0000000, 397.9877230, 411.2352081, 424.6600673, 425.6416272, 414.2782416, 402.5031598, 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424.9101202, 417.4979511, 407.4606294, 1842.0000000, 411.0771389, 429.2854566, 444.2310030, 440.7465915, 420.9545617, 400.6238862, 395.1466102, 405.8825933, 420.3796600, 424.9829053, 416.2840852, 405.3200585, 1843.0000000, 408.4710047, 426.7169172, 442.3085234, 439.9799584, 421.4873855, 402.2520821, 397.5163264, 408.5357217, 422.6875376, 426.3023830, 416.2851258, 404.0897474, 1844.0000000, 406.3055045, 424.0128102, 439.6570987, 438.0525947, 420.7275202, 402.7508291, 399.1377833, 410.9861687, 425.4217543, 428.5869788, 417.5266746, 404.0802292, 1845.0000000, 405.1182013, 421.8581638, 436.9703130, 435.4882615, 418.8959869, 402.0005691, 399.5846443, 412.5848653, 427.8578137, 431.2197369, 419.6432336, 405.2308757, 1846.0000000, 405.1502132, 420.7683998, 434.9549444, 433.0255821, 416.5846051, 400.3196174, 398.8402444, 412.9710768, 429.3630867, 433.4644396, 421.9870844, 407.1100455, 1847.0000000, 406.2395402, 420.8782208, 434.0341079, 431.2913996, 414.4781283, 398.3034450, 397.2918242, 412.2285117, 429.6759109, 434.7853118, 423.9125029, 409.1217646, 1848.0000000, 407.9397643, 421.9605224, 434.2530705, 430.5996757, 413.0835699, 396.5402624, 395.4940118, 410.7533356, 428.9136822, 434.9768792, 424.9678940, 410.7050033, 1849.0000000, 409.6971415, 423.5640304, 435.3557678, 430.9481649, 412.6445802, 395.4609407, 393.9867702, 409.0912744, 427.4854809, 434.1847325, 425.0050199, 411.4880263, 1850.0000000, 411.0141830, 425.1616092, 436.8951911, 432.0695348, 413.1210822, 395.2459700, 393.1371689, 407.7354637, 425.8973968, 432.7790821, 424.1533564, 411.3479582, 1851.0000000, 411.5647353, 426.2961455, 438.3854897, 433.5655603, 414.2867216, 395.8736317, 393.1288264, 407.0542625, 424.6331559, 431.2293002, 422.7315782, 410.3786548, 1852.0000000, 411.2105376, 426.6280770, 439.3618175, 434.9632333, 415.7712698, 397.1436590, 393.9626339, 407.2626941, 424.0964092, 430.0335670, 421.1947196, 408.8788544, 1853.0000000, 410.0350654, 426.0039886, 439.4602809, 435.7800273, 417.0962445, 398.6813701, 395.4324804, 408.3708408, 424.5329057, 429.6267159, 420.0526726, 407.3080514, 1854.0000000, 408.3549555, 424.5283913, 438.5345303, 435.6511334, 417.7782833, 399.9989316, 397.1396948, 410.1528183, 425.9585919, 430.2771936, 419.7553296, 406.1852510, 1855.0000000, 406.6549591, 422.5539375, 436.7085340, 434.4273777, 417.4364306, 400.5792210, 398.5357409, 412.1402395, 428.1062126, 432.0007141, 420.5932944, 405.9966636, 1856.0000000, 405.5246433, 420.6729109, 434.4457645, 432.3197089, 415.9777366, 400.0549735, 399.0532310, 413.6743711, 430.3811427, 434.4263670, 422.5036886, 406.9743208, 1857.0000000, 405.4337752, 419.5200944, 432.4271485, 429.8959917, 413.7222630, 398.4342912, 398.3832654, 414.1752968, 432.0601310, 436.8841780, 425.0426101, 408.9737413, 1858.0000000, 406.5373600, 419.5245854, 431.2866530, 427.8608439, 411.2866393, 396.1185855, 396.6274662, 413.3968861, 432.5797018, 438.6452188, 427.5243622, 411.5051857, 1859.0000000, 408.6078935, 420.7502698, 431.3756376, 426.7834640, 409.3331237, 393.7303903, 394.2493184, 411.5245022, 431.7622798, 439.2023079, 429.2752112, 413.9134642, 1860.0000000, 411.1293156, 422.8977643, 432.6684151, 426.9162214, 408.3312875, 391.8622888, 391.8630356, 409.0670060, 429.8574957, 438.4515361, 429.8845197, 415.6238461, 1861.0000000, 413.5006382, 425.4499196, 434.8319138, 428.1746222, 408.4470099, 390.8869104, 389.9868847, 406.5983053, 427.3490304, 436.6256891, 429.2641228, 416.2836814, 1862.0000000, 415.2131960, 427.8543410, 437.3908649, 430.2637317, 409.6137610, 390.9624747, 388.9797532, 404.6326625, 424.7998528, 434.1698847, 427.6005978, 415.7852000, 1863.0000000, 415.9139607, 429.5997074, 439.7965018, 432.7278684, 411.5579568, 392.0303226, 389.0022353, 403.5413681, 422.7366246, 431.6331577, 425.3010578, 414.2866886, 1864.0000000, 415.4891779, 430.3323227, 441.5446258, 435.0463380, 413.8635188, 393.8481941, 390.0180208, 403.5135549, 421.5612649, 429.5464350, 422.8782614, 412.1452363, 1865.0000000, 414.0595330, 429.9059552, 442.2537076, 436.7089125, 416.0264640, 396.0214614, 391.8035937, 404.5440421, 421.5149510, 428.3611482, 420.8813563, 409.8671820, 1866.0000000, 411.9752102, 428.4283623, 441.7469219, 437.3005560, 417.5134707, 398.0236096, 393.9336821, 406.3898960, 422.6079851, 428.3612472, 419.8040302, 408.0390536, 1867.0000000, 409.7962189, 426.3147429, 440.1804395, 436.6701905, 417.9192120, 399.3048339, 395.8243316, 408.5429117, 424.5275123, 429.5181635, 419.9083760, 407.1432615, 1868.0000000, 408.1308706, 424.1879890, 438.0449599, 435.0427328, 417.1540926, 399.5010903, 396.9184868, 410.3593902, 426.6896247, 431.4608263, 421.1247405, 407.4095148, 1869.0000000, 407.4584686, 422.7021076, 436.0386352, 432.9889238, 415.5250408, 398.6006960, 396.8933480, 411.2584084, 428.3764012, 433.5177049, 422.9940997, 408.6725243, 1870.0000000, 407.9194938, 422.2852808, 434.8069496, 431.2283045, 413.6581569, 397.0089314, 395.8579824, 411.0143812, 429.0585635, 434.9904843, 424.8405521, 410.4271006, 1871.0000000, 409.2534703, 422.9620449, 434.6655667, 430.3017319, 412.1926470, 395.3298004, 394.2679360, 409.8293730, 428.6091219, 435.4472676, 426.0617508, 412.0612630, 1872.0000000, 410.9539307, 424.4150951, 435.5531157, 430.4169287, 411.5482600, 394.1013808, 392.6810639, 408.1666507, 427.2654799, 434.8164418, 426.3085026, 413.0638937, 1873.0000000, 412.4662226, 426.1504220, 437.1401406, 431.4811999, 411.8762647, 393.6754203, 391.5877117, 406.5700273, 425.4934287, 433.3434024, 425.5372264, 413.1379588, 1874.0000000, 413.3244600, 427.6300071, 438.9338620, 433.1593610, 413.0602633, 394.1585439, 391.2941590, 405.5015958, 423.8166453, 431.4685726, 423.9773279, 412.2562405, 1875.0000000, 413.2693800, 428.4234787, 440.4342851, 435.0077018, 414.8110828, 395.4600630, 391.9171552, 405.2765510, 422.6977884, 429.6870131, 422.0143965, 410.5968490, 1876.0000000, 412.2384447, 428.2383812, 441.1838598, 436.5236217, 416.7050779, 397.3153930, 393.3913933, 406.0511265, 422.5043213, 428.4998669, 420.1512242, 408.5394300, 1877.0000000, 410.4075368, 427.0007749, 440.8633090, 437.2252870, 418.2275191, 399.2912096, 395.4413954, 407.7653372, 423.4237022, 428.3122311, 418.9092877, 406.5963501, 1878.0000000, 408.1756299, 424.9067805, 439.3998047, 436.7807010, 418.8820686, 400.8503707, 397.5963224, 410.1100420, 425.3924735, 429.3347669, 418.7186277, 405.3121080, 1879.0000000, 406.0965819, 422.4113519, 437.0290954, 435.1299824, 418.3322874, 401.4712498, 399.2610004, 412.5390434, 428.0486593, 431.4918089, 419.8017286, 405.1419548, 1880.0000000, 404.7739718, 420.1677829, 434.3125076, 432.5924705, 416.5732697, 400.8343250, 399.8684812, 414.3482479, 430.7172510, 434.3143579, 422.0005162, 406.2436587, 1881.0000000, 404.6370572, 418.8157158, 431.9862137, 429.8316710, 414.0366462, 399.0487159, 399.1810145, 414.9864911, 432.6556697, 437.0717292, 424.7847705, 408.3781555, 1882.0000000, 405.7521800, 418.7156997, 430.6523092, 427.5662296, 411.3942507, 396.5965405, 397.3879810, 414.2838965, 433.3484713, 439.0441687, 427.4412607, 410.9999252, 1883.0000000, 407.8177233, 419.8498775, 430.5892478, 426.3193903, 409.2994292, 394.1280559, 395.0103265, 412.5022700, 432.6965714, 439.7882138, 429.3318644, 413.4574690, 1884.0000000, 410.2904705, 421.8652334, 431.7007767, 426.2721922, 408.1654741, 392.2038709, 392.6580274, 410.1737678, 430.9957150, 439.2569266, 430.0994232, 415.2155930, 1885.0000000, 412.5885189, 424.2386326, 433.6237628, 427.2940963, 408.1084976, 391.1540216, 390.8213482, 407.8637069, 428.7438133, 437.7186462, 429.7061440, 415.9741952, 1886.0000000, 414.2468829, 426.4439913, 435.8850887, 429.0682923, 409.0236786, 391.0919734, 389.8155217, 406.0501296, 426.4814498, 435.6160810, 428.3567728, 415.6605244, 1887.0000000, 414.9562739, 428.0113798, 437.9629816, 431.1442218, 410.6224659, 391.9314798, 389.7685956, 405.0735874, 424.7123032, 433.4887815, 426.4663998, 414.4589406, 1888.0000000, 414.6440428, 428.6349640, 439.3934070, 433.0204957, 412.4831678, 393.4044101, 390.6058720, 405.0800325, 423.7994488, 431.8398782, 424.5374539, 412.7370621, 1889.0000000, 413.4628365, 428.2172042, 439.8473822, 434.2256094, 414.1147297, 395.1020306, 392.0689208, 406.0186536, 423.9384642, 431.0869564, 423.1029161, 411.0068891, 1890.0000000, 411.7931886, 426.9216006, 439.2203802, 434.4128420, 415.0263014, 396.5031154, 393.7007759, 407.5856584, 425.0657779, 431.4448787, 422.6064687, 409.8301200, 1891.0000000, 410.2000974, 425.2036119, 437.7433289, 433.5241161, 414.8964227, 397.1084262, 394.9216492, 409.2286083, 426.7871487, 432.7904667, 423.2263784, 409.6303616, 1892.0000000, 409.2648966, 423.6993260, 435.9680052, 431.8879333, 413.7587457, 396.6660875, 395.2473853, 410.3162912, 428.4642986, 434.6487802, 424.7706203, 410.5217115, 1893.0000000, 409.3712997, 422.9989423, 434.5771469, 430.1200357, 412.0208709, 395.2989547, 394.4924132, 410.3709023, 429.4162851, 436.3108260, 426.6898043, 412.2245892, 1894.0000000, 410.5402246, 423.4191345, 434.1313128, 428.9034840, 410.3351958, 393.5011754, 392.9020756, 409.3195400, 429.2363684, 437.1326024, 428.2872278, 414.1585054, 1895.0000000, 412.4035246, 424.8592804, 434.8199768, 428.6742723, 409.2796862, 391.8741840, 390.9947108, 407.4849134, 427.9436505, 436.8032735, 429.0222120, 415.7118141, 1896.0000000, 414.4085085, 426.9232623, 436.4831572, 429.5378975, 409.1866691, 390.9013917, 389.3221383, 405.3840436, 425.8818025, 435.3738047, 428.6401875, 416.4188616, 1897.0000000, 415.9992844, 429.0780106, 438.7249644, 431.3194861, 410.1222636, 390.8591228, 388.3239712, 403.5527968, 423.5624689, 433.1768559, 427.1915883, 416.0512611, 1898.0000000, 416.7414487, 430.7823476, 441.0229946, 433.6378516, 411.9157362, 391.7982385, 388.2576217, 402.4252394, 421.5198960, 430.7067161, 424.9837273, 414.6536738, 1899.0000000, 416.4207366, 431.6174028, 442.8587223, 436.0101770, 414.2280556, 393.5736026, 389.1856757, 402.2719084, 420.1974114, 428.4785566, 422.4573871, 412.4725971, 1900.0000000, 415.0339737, 431.3261040, 443.7810197, 437.9161368, 416.6031877, 395.8806430, 390.9985989, 403.2063816, 419.9343873, 426.9955973, 420.1528457, 409.9501501, 1901.0000000, 412.8246683, 429.8878400, 443.4948395, 438.8669770, 418.4964103, 398.2417702, 393.3672009, 405.1092703, 420.8638924, 426.6310724, 418.5966374, 407.6411661, 1902.0000000, 410.2602875, 427.5742292, 441.9887982, 438.5637535, 419.4143877, 400.0981527, 395.7786406, 407.6129558, 422.8554340, 427.5370535, 418.1887865, 406.0991898, 1903.0000000, 407.9420433, 424.9161700, 439.5843692, 437.0203452, 419.0681150, 400.9450250, 397.6231229, 410.1229553, 425.4680313, 429.5433992, 419.0664530, 405.7255238, 1904.0000000, 406.4608787, 422.5985349, 436.9115528, 434.6442074, 417.5407817, 400.5373375, 398.3857501, 411.9542825, 428.0013825, 432.1117649, 420.9772326, 406.5836740, 1905.0000000, 406.1731044, 421.2226578, 434.7108688, 432.1429311, 415.3363526, 399.0726736, 397.9229838, 412.6400862, 429.7632757, 434.5071672, 423.3312104, 408.3394321, 1906.0000000, 407.0360223, 421.0460076, 433.5059052, 430.1948536, 413.1287584, 397.0763468, 396.5059910, 412.1234737, 430.3591083, 436.1024373, 425.4519263, 410.4257663, 1907.0000000, 408.6818306, 421.9567427, 433.4729454, 429.2325466, 411.5064115, 395.1675273, 394.6658547, 410.7253830, 429.7940588, 436.5736158, 426.7961625, 412.2352111, 1908.0000000, 410.5578947, 423.5474724, 434.4314903, 429.3420855, 410.7935376, 393.8344417, 392.9664662, 408.9728716, 428.4146937, 435.9746112, 427.1229265, 413.3274160, 1909.0000000, 412.1354251, 425.3013675, 435.9829042, 430.3296125, 411.0309372, 393.3309456, 391.8292833, 407.3839087, 426.7117134, 434.6200110, 426.4816504, 413.4990408, 1910.0000000, 413.0265791, 426.7314764, 437.6491461, 431.8368680, 412.0506117, 393.6980935, 391.4953248, 406.3689084, 425.1838171, 432.9573283, 425.1350148, 412.7694914, 1911.0000000, 413.0198432, 427.4445054, 438.9452270, 433.4070992, 413.5257561, 394.7932078, 392.0271395, 406.2001938, 424.2758214, 431.4976027, 423.5168183, 411.3872355, 1912.0000000, 412.1328736, 427.2239569, 439.4669057, 434.5525645, 415.0055253, 396.2905948, 393.2766945, 406.9442576, 424.2768490, 430.6938303, 422.1214730, 409.7623247, 1913.0000000, 410.6053444, 426.0841048, 438.9887293, 434.8651468, 416.0095695, 397.7464805, 394.9188416, 408.4649605, 425.2930310, 430.8870503, 421.4383158, 408.4109191, 1914.0000000, 408.8753142, 424.2924449, 437.5299247, 434.1016133, 416.0998472, 398.6339818, 396.4399103, 410.3646239, 427.1482572, 432.1833084, 421.8272190, 407.8538173, 1915.0000000, 407.5231482, 422.3832162, 435.4530144, 432.3532017, 415.0782305, 398.5213278, 397.2617909, 412.0303279, 429.3413191, 434.3316360, 423.3452487, 408.4208687, 1916.0000000, 407.0797273, 421.0015239, 433.3880236, 430.0822309, 413.1307028, 397.2865885, 396.9773072, 412.8371505, 431.1690331, 436.7410153, 425.6628550, 410.0925025, 1917.0000000, 407.8163487, 420.6654702, 432.0087161, 427.9695783, 410.7902862, 395.2064044, 395.5471388, 412.4116884, 431.9869413, 438.6678831, 428.1444991, 412.4754209, 1918.0000000, 409.6289809, 421.5715288, 431.7846704, 426.6620265, 408.7392983, 392.8636491, 393.3433607, 410.8133162, 431.4874664, 439.5077145, 430.0732928, 414.9258498, 1919.0000000, 412.0577218, 423.5098430, 432.7953662, 426.5088287, 407.5139492, 390.8738623, 390.9535059, 408.4755619, 429.8106865, 439.0435218, 430.9552442, 416.8330327, 1920.0000000, 414.5149057, 426.0203058, 434.7970269, 427.5277068, 407.3743627, 389.6801873, 388.9312813, 405.9617328, 427.3792334, 437.4100686, 430.5967650, 417.7598040, 1921.0000000, 416.4427458, 428.5422259, 437.3440166, 429.4806136, 408.3230074, 389.5082105, 387.6905209, 403.8174020, 424.7518928, 435.0090976, 429.1148712, 417.5253994, 1922.0000000, 417.4318809, 430.5368512, 439.8952294, 431.9497767, 410.1418839, 390.3599834, 387.4483775, 402.4568967, 422.4730222, 432.3724123, 426.8660947, 416.2179174, 1923.0000000, 417.2974245, 431.5974652, 441.9256796, 434.4284597, 412.4544694, 392.0456632, 388.2239948, 402.1194700, 420.9784099, 430.0369654, 424.3345075, 414.1357525, 1924.0000000, 416.0846264, 431.5053992, 443.0065651, 436.3981230, 414.7854390, 394.2247358, 389.8616979, 402.8717040, 420.5729647, 428.4955946, 422.0769724, 411.7550330, 1925.0000000, 414.0797096, 430.2834529, 442.8788442, 437.3899225, 416.5883784, 396.3948037, 391.9873417, 404.5369606, 421.3351683, 428.0870830, 420.6150900, 409.6545179, 1926.0000000, 411.7956520, 428.2640572, 441.5983058, 437.1654084, 417.4099354, 398.0073144, 394.0646743, 406.6923171, 423.0591452, 428.8897962, 420.2962080, 408.3649075, 1927.0000000, 409.8414362, 426.0153029, 439.5493573, 435.8163924, 417.0369251, 398.6130340, 395.5043081, 408.7189867, 425.2373945, 430.6422992, 421.1687465, 408.2200637, 1928.0000000, 408.7703987, 424.2189336, 437.3975077, 433.8229914, 415.6512273, 398.0729034, 395.8820542, 409.9830191, 427.1612620, 432.7415097, 422.8817347, 409.1788824, 1929.0000000, 408.8446462, 423.4032948, 435.8433689, 431.8968884, 413.8083591, 396.6765124, 395.1705406, 410.1307300, 428.2131418, 434.4623600, 424.7944371, 410.8181964, 1930.0000000, 409.9158380, 423.7185491, 435.3178076, 430.6561972, 412.1684383, 394.9887277, 393.7338227, 409.2375622, 428.1353024, 435.2744609, 426.2614195, 412.5407039, 1931.0000000, 411.5416195, 424.9501136, 435.8829781, 430.4270759, 411.2394016, 393.5893362, 392.1169838, 407.6984416, 427.0532514, 434.9805296, 426.8285494, 413.7719329, 1932.0000000, 413.1506642, 426.6320525, 437.2744808, 431.2025894, 411.2588084, 392.9000588, 390.8517614, 406.0590245, 425.3905438, 433.7506440, 426.3691477, 414.1483507, 1933.0000000, 414.2413258, 428.2275112, 439.0366421, 432.7102716, 412.1829045, 393.0957630, 390.2966914, 404.8059179, 423.6562646, 431.9697775, 425.0305527, 413.5568923, 1934.0000000, 414.4839442, 429.2651560, 440.6660985, 434.5380614, 413.7770374, 394.1494969, 390.6309126, 404.3050671, 422.3395439, 430.1251127, 423.1567752, 412.1127447, 1935.0000000, 413.7486863, 429.3985863, 441.6803449, 436.1934042, 415.6560604, 395.8511240, 391.8484857, 404.7674094, 421.8457710, 428.7275429, 421.2267720, 410.1425862, 1936.0000000, 412.1404804, 428.4812570, 441.7065354, 437.1757162, 417.3230707, 397.8120162, 393.7335904, 406.1953778, 422.4154506, 428.2123839, 419.7604716, 408.1236132, 1937.0000000, 409.9938249, 426.6266254, 440.5930591, 437.1037936, 418.2763548, 399.5321870, 395.8848182, 408.3686961, 424.0756435, 428.8634135, 419.2281852, 406.5992179, 1938.0000000, 407.8175510, 424.2030564, 438.4623126, 435.8071347, 418.1017577, 400.4613814, 397.7293620, 410.8076146, 426.5603279, 430.7067882, 419.9377279, 406.0794486, 1939.0000000, 406.2298654, 421.8306275, 435.7946664, 433.4938936, 416.6843047, 400.2007368, 398.6706962, 412.8367387, 429.2748120, 433.3860135, 421.8494472, 406.8233815, 1940.0000000, 405.7301129, 420.1735765, 433.2919454, 430.7341962, 414.3229662, 398.7179572, 398.3509111, 413.8327276, 431.4719923, 436.2327286, 424.5401790, 408.7192211, 1941.0000000, 406.5131982, 419.7048407, 431.6295433, 428.2609950, 411.6396697, 396.3922592, 396.8249499, 413.4898689, 432.5356417, 438.4883124, 427.3225702, 411.2964754, 1942.0000000, 408.3846285, 420.5306134, 431.2060297, 426.6875805, 409.3270809, 393.8539673, 394.5362199, 411.9474393, 432.2291867, 439.5953865, 429.4963008, 413.8970538, 1943.0000000, 410.8426401, 422.3778183, 432.0291846, 426.3014703, 407.8847773, 391.7130678, 392.0968009, 409.6878804, 430.7551436, 439.3992710, 430.6156894, 415.9375517, 1944.0000000, 413.3004793, 424.7592724, 433.8043076, 427.0578852, 407.5139203, 390.3686240, 390.0370099, 407.2738715, 428.5581313, 438.0745570, 430.5377593, 417.0294598, 1945.0000000, 415.2383628, 427.1331148, 436.0811091, 428.6932466, 408.1800119, 390.0082888, 388.7389913, 405.2305868, 426.1913363, 436.0349503, 429.4066831, 417.0301167, 1946.0000000, 416.2873021, 428.9933466, 438.3328403, 430.7811932, 409.6379588, 390.5973395, 388.3813572, 403.9383360, 424.1746994, 433.8021988, 427.5865258, 416.0527335, 1947.0000000, 416.3014872, 429.9773968, 440.0701313, 432.8309929, 411.5055316, 391.9240983, 388.9529889, 403.6047210, 422.9187079, 431.8977519, 425.5605386, 414.4122316, 1948.0000000, 415.3601571, 429.9124920, 440.9088222, 434.3514868, 413.3089797, 393.6254194, 390.2586417, 404.2492856, 422.6826954, 430.7809585, 423.8685328, 412.5881365, 1949.0000000, 413.7761365, 428.8710369, 440.6526331, 434.9302563, 414.5336949, 395.1986841, 391.8945367, 405.6452303, 423.4889753, 430.7423557, 423.0022378, 411.1516692, 1950.0000000, 412.0808352, 427.2337229, 439.4318289, 434.4117576, 414.7921822, 396.1247485, 393.3095602, 407.3124562, 425.0459102, 431.7687541, 423.2324707, 410.5833469, 1951.0000000, 410.8653412, 425.5907086, 437.6980923, 432.9907330, 413.9842095, 396.0478963, 393.9651324, 408.6263882, 426.7837258, 433.4999818, 424.5010309, 411.1238358, 1952.0000000, 410.6140845, 424.5897891, 436.1319125, 431.2173882, 412.4054531, 394.9608001, 393.5553128, 409.0247310, 427.9947934, 435.2642549, 426.3454497, 412.6073284, 1953.0000000, 411.4687575, 424.6561930, 435.3663634, 429.7910618, 410.6633931, 393.2620874, 392.1978666, 408.3007079, 428.1657790, 436.3677230, 428.0845946, 414.5230276, 1954.0000000, 413.1685014, 425.8175494, 435.7171887, 429.2450279, 409.3840437, 391.5441653, 390.3462991, 406.6662513, 427.1841137, 436.3842005, 429.1089492, 416.2463822, 1955.0000000, 415.1985642, 427.7570521, 437.1292332, 429.7919223, 408.9863877, 390.3403898, 388.5563148, 404.5908106, 425.2997626, 435.2484341, 429.0587302, 417.2424943, 1956.0000000, 416.9793279, 429.9638200, 439.2678673, 431.3414122, 409.6243742, 390.0029836, 387.3202178, 402.6283080, 422.9991217, 433.2287823, 427.9021368, 417.2080870, 1957.0000000, 418.0264451, 431.8809572, 441.6301859, 433.5580658, 411.1853477, 390.6402520, 386.9418863, 401.2381383, 420.8092778, 430.7748349, 425.8736062, 416.1070773, 1958.0000000, 418.0570600, 433.0494160, 443.6960586, 435.9940776, 413.3889565, 392.1750116, 387.5509518, 400.7477006, 419.2079579, 428.4025603, 423.3784413, 414.1227228, 1959.0000000, 416.9929177, 433.1448712, 444.9747465, 438.1266184, 415.8082751, 394.3498852, 389.0913329, 401.3209472, 418.5715456, 426.6282257, 420.9387026, 411.6488010, 1960.0000000, 415.0075147, 432.0710724, 445.1131072, 439.4459147, 417.9181735, 396.7375999, 391.3020510, 402.9118630, 419.0986932, 425.8687340, 419.0916111, 409.2132014, 1961.0000000, 412.5048698, 430.0088289, 444.0042924, 439.5829635, 419.2004290, 398.8013302, 393.7296020, 405.2359533, 420.7489148, 426.3540246, 418.2872321, 407.3810587, 1962.0000000, 410.0530761, 427.4086621, 441.8536561, 438.4304857, 419.2751501, 399.9968224, 395.7802871, 407.7651850, 423.1838577, 428.0295950, 418.7685658, 406.6327863, 1963.0000000, 408.2827512, 424.9432130, 439.2208968, 436.2811716, 418.0987742, 399.9744023, 396.8799362, 409.8126239, 425.7563778, 430.4515130, 420.3948030, 407.1393571, 1964.0000000, 407.6379464, 423.2649041, 436.8419620, 433.7748850, 416.0586499, 398.7949984, 396.7594556, 410.8259114, 427.7514524, 432.9278283, 422.6701324, 408.6899761, 1965.0000000, 408.2116547, 422.7616333, 435.3399002, 431.6323055, 413.8023249, 396.8963105, 395.5608572, 410.6051523, 428.6530822, 434.7612272, 424.9085757, 410.7612968, 1966.0000000, 409.7207063, 423.4350101, 435.0134274, 430.3894469, 411.9779806, 394.9013266, 393.7622972, 409.3716330, 428.3449098, 435.5193277, 426.4984485, 412.7264146, 1967.0000000, 411.6397678, 424.9462271, 435.7803592, 430.2395837, 411.0019248, 393.3567616, 391.9409164, 407.6147724, 427.0908616, 435.1514758, 427.1036793, 414.0802052, 1968.0000000, 413.4134076, 426.7920338, 437.2923044, 431.0631968, 410.9951742, 392.5856945, 390.5629181, 405.8602461, 425.3448473, 433.8982747, 426.6845185, 414.5391841, 1969.0000000, 414.5992859, 428.4659861, 439.0906201, 432.5545421, 411.8615881, 392.7052251, 389.9371062, 404.5654263, 423.6184794, 432.1798817, 425.4437215, 414.0485984, 1970.0000000, 414.9147954, 429.5219625, 440.6676680, 434.2675447, 413.3105765, 393.6220152, 390.1770917, 404.0447206, 422.3776930, 430.4984296, 423.7765411, 412.7978047, 1971.0000000, 414.3119531, 429.6877205, 441.5908510, 435.7230593, 414.9329007, 395.0729045, 391.2057651, 404.4315645, 421.9608455, 429.3251412, 422.1581233, 411.1432994, 1972.0000000, 412.9516525, 428.8885016, 441.5580221, 436.4705190, 416.2486950, 396.6517655, 392.7611460, 405.6647962, 422.5443023, 429.0505082, 421.0951595, 409.5820928, 1973.0000000, 411.2172687, 427.3082134, 440.4945901, 436.1908455, 416.7848666, 397.8447502, 394.3850667, 407.4325445, 424.0490634, 429.8663646, 421.0043577, 408.6538259, 1974.0000000, 409.6652070, 425.4118026, 438.6569066, 434.8579749, 416.2478618, 398.1704345, 395.5053525, 409.1817475, 426.0732557, 431.6351157, 422.0439366, 408.7602990, 1975.0000000, 408.8588144, 423.8273047, 436.6021265, 432.8162803, 414.6896200, 397.3903535, 395.6434303, 410.2801394, 427.9744449, 433.8773597, 424.0178936, 410.0121416, 1976.0000000, 409.1804809, 423.1491674, 435.0260177, 430.7023000, 412.5401084, 395.6437709, 394.6187918, 410.2416786, 429.0531603, 435.8623849, 426.3581715, 412.1164075, 1977.0000000, 410.6429441, 423.6918395, 434.4952087, 429.2143672, 410.4733108, 393.4470036, 392.6929139, 408.9973650, 428.8924459, 436.9274139, 428.3503869, 414.4819617, 1978.0000000, 412.8751752, 425.3587433, 435.2095616, 428.8044385, 409.0872007, 391.4225086, 390.4008818, 406.8751274, 427.4988008, 436.7330305, 429.4198120, 416.4688870, 1979.0000000, 415.3081086, 427.7502943, 437.0172090, 429.5948288, 408.7368347, 390.0795689, 388.3205128, 404.4119268, 425.2206023, 435.3138470, 429.2783961, 417.5736432, 1980.0000000, 417.3545130, 430.3156554, 439.5191403, 431.4197916, 409.5053930, 389.7171816, 386.9184826, 402.1721110, 422.5917912, 433.0075395, 427.9606425, 417.5374963, 1981.0000000, 418.5470833, 432.4874107, 442.1791557, 433.8961958, 411.2285252, 390.3973801, 386.4664307, 400.6064326, 420.1621202, 430.3149926, 425.7645590, 416.3804021, 1982.0000000, 418.6396404, 433.8184429, 444.4639614, 436.5432468, 413.5811472, 391.9944808, 387.0487489, 400.0089558, 418.3982075, 427.7694588, 423.1349649, 414.3342238, 1983.0000000, 417.5967736, 434.0120023, 445.8894863, 438.8241838, 416.1068923, 394.2125787, 388.5674723, 400.5059643, 417.6538699, 425.8892993, 420.6239009, 411.8406983, 1984.0000000, 415.6470914, 433.0215929, 446.1354645, 440.2381652, 418.2658189, 396.5902930, 390.7138747, 401.9961678, 418.0758713, 425.0574594, 418.7623326, 409.4511864, 1985.0000000, 413.2404996, 431.0865274, 445.1520386, 440.4571382, 419.5561392, 398.5811701, 393.0001063, 404.1399480, 419.5577061, 425.4447511, 417.9639445, 407.7262263, 1986.0000000, 410.9737131, 428.7156516, 443.2221271, 439.4532648, 419.6617199, 399.6773246, 394.8342166, 406.3727608, 421.6894818, 426.9057858, 418.3861791, 407.0838735, 1987.0000000, 409.4484033, 426.5914473, 440.9543000, 437.5976138, 418.6295355, 399.6132058, 395.7037440, 408.0307566, 423.7989917, 428.9263836, 419.7927014, 407.5996052, 1988.0000000, 409.0309614, 425.3198516, 439.0803683, 435.5718328, 416.9271694, 398.5539075, 395.4504958, 408.6575341, 425.2228679, 430.8042619, 421.6202964, 408.9602108, 1989.0000000, 409.6990037, 425.1786973, 438.1381526, 434.0532938, 415.2088337, 396.9930264, 394.3153333, 408.1793907, 425.5675993, 431.9219132, 423.1991870, 410.6003875, 1990.0000000, 411.0864796, 426.0638237, 438.3182626, 433.4888496, 414.0685260, 395.5438211, 392.8174041, 406.9101472, 424.8449004, 431.9723968, 423.9998833, 411.9142133, 1991.0000000, 412.6320855, 427.5570865, 439.4349146, 433.9658546, 413.8325778, 394.6912192, 391.5105039, 405.3663977, 423.4009528, 431.0232774, 423.8002085, 412.4710684, 1992.0000000, 413.8027918, 429.1279313, 441.0753125, 435.2826241, 414.5402289, 394.6885635, 390.8119811, 404.0589464, 421.7240338, 429.3984878, 422.6670828, 412.0816623, 1993.0000000, 414.2120951, 430.2765949, 442.7414846, 437.0643658, 416.0159836, 395.5765737, 390.9641228, 403.3981745, 420.3140117, 427.5559702, 420.8842333, 410.7881783, 1994.0000000, 413.6598495, 430.6014495, 443.9223535, 438.8227280, 417.9082834, 397.1980051, 392.0214532, 403.6498385, 419.6102726, 426.0084492, 418.9015936, 408.8670591, 1995.0000000, 412.1915591, 429.9006339, 444.2089884, 440.0518437, 419.7471118, 399.2154940, 393.8322967, 404.8793745, 419.8989918, 425.2057208, 417.2162918, 406.7398016, 1996.0000000, 410.0626691, 428.1970708, 443.3669626, 440.3174887, 421.0206306, 401.1612634, 396.0609973, 406.9521979, 421.2928839, 425.4956219, 416.3280610, 404.9418939, 1997.0000000, 407.7389094, 425.7851461, 441.4267339, 439.3628434, 421.2590737, 402.4751332, 398.1725225, 409.4652177, 423.6213272, 426.9914233, 416.6022731, 404.0035014, 1998.0000000, 405.8188969, 423.2241449, 438.7698799, 437.2772626, 420.2380875, 402.6864184, 399.5548117, 411.7909427, 426.3898377, 429.4603937, 418.1151900, 404.2719972, 1999.0000000, 404.8541911, 421.1855049, 436.0523922, 434.5336446, 418.1272850, 401.6322741, 399.7505734, 413.2662023, 428.8849782, 432.3284470, 420.5667093, 405.7592026, 2000.0000000, 405.1489290, 420.2263313, 433.9911085, 431.8476016, 415.4692054, 399.5638343, 398.6647038, 413.4509857, 430.4122394, 434.8343387, 423.3298089, 408.0925830, 2001.0000000, 406.6260463, 420.5778245, 433.1006603, 429.9160575, 412.9865874, 397.0782367, 396.6479435, 412.3537704, 430.6077748, 436.3384446, 425.6833224, 410.6439750, 2002.0000000, 408.8495824, 422.0580341, 433.4938308, 429.1273289, 411.2539695, 394.8156235, 394.2846520, 410.3688804, 429.5468321, 436.5629707, 427.0993613, 412.7991258, 2003.0000000, 411.2472844, 424.2326416, 434.9599133, 429.5390204, 410.5755155, 393.2595744, 392.1529630, 408.0541646, 427.6116891, 435.5842406, 427.3369208, 414.0974361, 2004.0000000, 413.2597874, 426.5527700, 437.0726967, 430.9378343, 410.9831397, 392.6678025, 390.6942188, 405.9647656, 425.3410061, 433.7586390, 426.4631674, 414.3251657, 2005.0000000, 414.4675348, 428.4882630, 439.3098884, 432.9285080, 412.2832055, 393.0685943, 390.1514116, 404.5318437, 423.2733738, 431.5840364, 424.7849519, 413.5265852, 2006.0000000, 414.6618667, 429.6314961, 441.1632007, 435.0301549, 414.1281130, 394.3022159, 390.5733722, 404.0190400, 421.8537963, 429.5799514, 422.7452683, 411.9499729, 2007.0000000, 413.8452413, 429.7379909, 442.1974443, 436.7330407, 416.0603606, 396.0502494, 391.8299722, 404.5200499, 421.4079523, 428.2440703, 420.8837357, 410.0391336, 2008.0000000, 412.2693360, 428.8063566, 442.1469265, 437.5776491, 417.5513628, 397.8310273, 393.5685232, 405.8796974, 422.0322575, 427.9201838, 419.7072860, 408.3392128, 2009.0000000, 410.4030889, 427.1268286, 441.0394308, 437.3172036, 418.1559311, 399.1141469, 395.2768978, 407.7029859, 423.5495834, 428.7104393, 419.5742686, 407.3745000, 2010.0000000, 408.8330109, 425.2355586, 439.2284752, 436.0231523, 417.6540612, 399.4543966, 396.3763407, 409.3864221, 425.4702328, 430.3708061, 420.5452233, 407.4814915, 2011.0000000, 408.1031289, 423.7947764, 437.3564340, 434.1574410, 416.2194754, 398.7143368, 396.4508301, 410.3067239, 427.0970829, 432.3096698, 422.2791680, 408.6243793, 2012.0000000, 408.4736875, 423.3229393, 436.1084149, 432.4166667, 414.3993179, 397.1841558, 395.4812736, 410.1232852, 427.8264962, 433.8142435, 424.1449670, 410.3870699, 2013.0000000, 409.8004444, 423.9696205, 435.9091207, 431.4088981, 412.8435317, 395.4221313, 393.8298924, 408.9132607, 427.4034391, 434.3545939, 425.4950801, 412.1698908, 2014.0000000, 411.6405831, 425.5224700, 436.8249245, 431.4656043, 412.0665215, 394.0164310, 392.0532662, 407.0859483, 425.9670796, 433.7409698, 425.8735583, 413.3888173, 2015.0000000, 413.4095545, 427.5022541, 438.5806970, 432.5727720, 412.3019136, 393.3875811, 390.6854076, 405.1939167, 423.9514870, 432.1535205, 425.1584446, 413.6778333, 2016.0000000, 414.5980816, 429.3638290, 440.7163754, 434.4593083, 413.5114677, 393.7178368, 390.0930482, 403.7326551, 421.8750808, 429.9847060, 423.4981317, 412.9152071, 2017.0000000, 414.8591174, 430.6145614, 442.7105693, 436.7040899, 415.4613260, 394.9879078, 390.4667282, 403.0814179, 420.2413385, 427.7354125, 421.2454534, 411.2156968, 2018.0000000, 414.0500650, 430.8843620, 444.0537175, 438.7939458, 417.7580425, 396.9910654, 391.8110753, 403.4647568, 419.4699664, 425.9305739, 418.8926803, 408.9135426, 2019.0000000, 412.2729553, 430.0111917, 444.3486286, 440.2053638, 419.8925931, 399.3397628, 393.9210280, 404.8995749, 419.8147387, 425.0161836, 416.9664102, 406.4874323, 2020.0000000, 409.8542228, 428.0868582, 443.4095147, 440.5204972, 421.3376514, 401.5269472, 396.4065861, 407.1900319, 421.3321621, 425.3030368, 415.9593697, 404.4982209, 2021.0000000, 407.3131158, 425.4761119, 441.3356123, 439.5297372, 421.6377435, 402.9738877, 398.6868031, 409.8670713, 423.7766432, 426.8367129, 416.1940260, 403.4674137, 2022.0000000, 405.2774095, 422.8029433, 438.5977270, 437.4143687, 420.6407078, 403.2489553, 400.1509590, 412.2666763, 426.5839527, 429.2960580, 417.6585413, 403.6738057, 2023.0000000, 404.2602634, 420.7396026, 435.8947546, 434.7238012, 418.6067928, 402.2737919, 400.4048973, 413.7544886, 429.0261313, 432.0490279, 419.9670096, 405.0335504, 2024.0000000, 404.4769613, 419.7758857, 433.9139266, 432.1901578, 416.1372018, 400.3879832, 399.4565539, 413.9902662, 430.4825684, 434.3629211, 422.4688538, 407.1085892, 2025.0000000, 405.7570804, 420.0370190, 433.0708910, 430.4390880, 413.9246496, 398.2033395, 397.7134798, 413.0738892, 430.6960638, 435.6921398, 424.4980951, 409.2773831, 2026.0000000, 407.6264101, 421.2667899, 433.3827619, 429.7630353, 412.4674356, 396.3160839, 395.7566284, 411.4425372, 429.8298674, 435.8699468, 425.6298182, 410.9949647, 2027.0000000, 409.5376455, 423.0096025, 434.5775150, 430.1337774, 411.9785699, 395.1286047, 394.1041013, 409.6284244, 428.2865505, 435.0401744, 425.7170969, 411.8925534, 2028.0000000, 410.9988389, 424.7464840, 436.2171702, 431.2920005, 412.4245838, 394.8279388, 393.1315116, 408.1369675, 426.5873340, 433.5862101, 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