# Howell Jul07 - Solar insolation calculations using a QNial programming language adaptation of: # 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 # Solar constant assumed : 1368 # Latitude of calculations : -69 # Solar insolation average for each month (W/m2, roughly the 21st to 20th of first/second month): # ky BP 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 a := -6012 442.2702742 342.0557708 216.4599814 97.0520791 18.2751899 -0.0008768 0.5448711 34.1930583 136.9575326 273.5445704 397.8757444 467.9456828 -6011 439.5372170 334.9644742 210.8348555 96.2222933 19.9057712 0.0574717 0.2997254 30.6011192 133.7245476 276.3619368 405.3692856 472.9791194 -6010 441.0911766 331.3743921 206.7362559 95.3648032 21.3770569 0.1547376 0.1364107 25.9527169 126.4247073 274.3802937 410.7702171 480.0450593 -6009 446.7099771 331.3756502 204.3909128 94.6020671 22.5508791 0.3098063 0.0308690 21.2060106 116.2256346 267.4754164 413.0506180 488.3106603 -6008 456.1109588 335.1258976 204.0340114 94.0799315 23.3593026 0.4775169 -0.0006426 17.0393948 104.5360168 255.9346364 411.1416942 496.5896951 -6007 468.5517869 342.5635356 205.7977779 93.9341156 23.8045405 0.6465295 -0.0000249 13.8115822 92.8997172 240.8929335 404.3796835 503.3467181 -6006 482.1538262 352.8827524 209.5352330 94.2589053 23.9369376 0.7569874 0.0000000 11.6931192 83.0111823 224.7870212 393.2732765 506.7759822 -6005 495.3045293 365.3409560 215.0643189 95.0739252 23.8063479 0.7908290 0.0000000 10.5506351 75.5294737 209.5189147 379.0420376 505.9579518 -6004 505.8997263 378.4786990 221.8686347 96.3131575 23.4641617 0.7583293 -0.0000810 10.2933378 70.8779735 197.0031474 363.8555704 500.7998885 -6003 512.3603359 390.5450708 229.1628228 97.8159222 22.9565351 0.6745622 -0.0002548 10.8366612 69.0476005 188.3842930 350.0085667 492.3093957 -6002 514.0788476 400.0661208 236.1556612 99.3968810 22.3112987 0.5535605 0.0414670 12.1507693 69.8323734 183.9658006 339.0341305 482.0835356 -6001 511.4632279 405.9336070 241.9694602 100.8372690 21.5872265 0.4187817 0.1111424 14.1604662 72.8187171 183.4455894 331.7611624 471.8779691 -6000 505.0333614 407.3810342 245.8657139 101.9741269 20.8389310 0.3041800 0.2653362 16.8870637 77.8812334 186.6347377 328.5061469 462.8004599 -5999 496.2310836 404.8267268 247.5631868 102.7123131 20.1415546 0.2123931 0.5132837 20.1581957 84.4469645 192.6244551 328.7163038 455.5545904 -5998 486.0824029 398.8864334 247.0192950 103.0283481 19.5685303 0.1429249 0.8267719 23.7839849 92.0934398 200.7699430 331.8367510 450.3105861 -5997 475.4851532 390.4376311 244.4524717 102.9501354 19.1832209 0.1036414 1.1575510 27.4761944 100.3302949 210.4372796 337.2892804 447.0447819 -5996 465.4190767 380.7107521 240.3976956 102.5502182 19.0223767 0.0841998 1.4302790 30.8039737 108.4361233 220.7771154 344.3588294 445.6262669 -5995 456.6473912 370.7625498 235.4147403 101.8989881 19.0954492 0.0747521 1.5538665 33.3056598 115.6846448 231.0562714 352.5276888 446.0478298 -5994 449.6173899 361.3606984 230.0195494 101.0588957 19.3709922 0.0753849 1.4881356 34.6574957 121.5332922 240.7493963 361.4328796 448.2211361 -5993 445.0825838 353.4586489 224.8157918 100.0874493 19.7809826 0.0855207 1.2479474 34.5327028 125.1791440 248.9606603 370.5271728 452.2167917 -5992 443.3907971 347.5604787 220.2013200 99.0294290 20.2381294 0.1027255 0.9027272 32.9223426 126.1973810 255.0784539 379.3939300 458.0419431 -5991 444.5892521 343.9250132 216.4703873 97.9427451 20.6452261 0.1228773 0.5365694 30.1449836 124.5780472 258.6776666 387.5292384 465.4427749 -5990 448.9253265 342.9125897 213.9014123 96.8892815 20.9220903 0.1419100 0.2629864 26.5537095 120.3083362 259.1471260 394.2264605 474.1937285 -5989 455.9633536 344.4466314 212.6174924 95.9519802 21.0109132 0.1572393 0.1092731 22.7772650 114.1644889 256.5740210 398.8482112 483.5410382 -5988 465.1713782 348.2810911 212.5854144 95.1844358 20.9104314 0.1642901 0.0111071 19.2404582 106.9554084 251.3515886 401.0328729 492.7819684 -5987 475.9060418 354.2655331 213.8719143 94.6611839 20.6146454 0.1569746 -0.0002301 16.2821699 99.5806858 244.0715769 400.3850877 500.9348973 -5986 487.1531501 361.7141969 216.2040696 94.3851669 20.1789691 0.1406860 0.0000000 14.0074630 92.8262149 235.8476730 397.3466696 507.3469467 -5985 497.7661012 369.9850772 219.3931712 94.3681559 19.6317407 0.1187990 0.0000000 12.4822853 87.3753467 227.7975533 392.4665073 511.3703499 -5984 506.9410542 378.3397554 223.0863354 94.5613849 19.0300492 0.0919069 0.0000000 11.5904230 83.3965626 220.6985609 386.6271180 513.0636029 -5983 513.9787752 386.0667889 226.9646941 94.9191608 18.4085009 0.0597521 0.0000000 11.2580718 81.0230754 215.1716222 380.6487950 512.5697719 -5982 518.3128824 392.2967638 230.5451935 95.3587576 17.8211362 0.0268402 0.0000000 11.4114269 80.2335698 211.6736729 375.4712931 510.4488124 -5981 520.1715193 396.8683836 233.6499816 95.8329283 17.2937710 0.0047086 0.0000000 11.9568121 80.7109693 209.9474838 371.2913695 507.2553701 -5980 519.6084002 399.3428024 235.9333677 96.2769798 16.8704580 -0.0009215 0.0000000 12.8435290 82.2878529 209.9882613 368.5149789 503.5773044 -5979 517.0340432 399.7710367 237.2967133 96.6631972 16.5736765 -0.0005773 -0.0000221 13.9947520 84.6988211 211.4771524 367.0834848 499.7814947 -5978 513.1121308 398.5352624 237.7939792 96.9814435 16.4193422 -0.0003924 -0.0004842 15.2836603 87.5477165 213.8778694 366.6937369 496.1490512 -5977 508.2992440 395.9473403 237.4901251 97.2290075 16.4167518 -0.0003399 0.0005133 16.6079790 90.5673780 216.8423606 367.1292072 492.8313825 -5976 502.9685804 392.3533635 236.5098892 97.4130997 16.5639304 -0.0004059 0.0249543 17.8831885 93.5498515 220.0809267 368.1596221 489.8744196 -5975 497.7856853 388.4573672 235.1707093 97.5586109 16.8400766 -0.0005989 0.0586663 18.9774641 96.1072889 223.0039398 369.2844594 487.3002219 -5974 492.8511713 384.4495429 233.5938909 97.6753614 17.2245190 -0.0009364 0.0888168 19.8776060 98.2184378 225.5532350 370.4060381 485.0548220 -5973 488.4062918 380.6641418 231.9804122 97.7819180 17.6857861 0.0044266 0.1122443 20.5683025 99.7990443 227.5347470 371.2942909 483.0652844 -5972 484.6921751 377.4678577 230.5567960 97.9013217 18.1840955 0.0238885 0.1317381 21.0487198 100.7669469 228.7236423 371.6777915 481.2457408 -5971 481.4854294 374.7539536 229.3297545 98.0379499 18.6928539 0.0522320 0.1503565 21.4114967 101.3477814 229.3586550 371.6522711 479.4773477 -5970 478.6922804 372.5164909 228.3395765 98.1990432 19.1872255 0.0813020 0.1772297 21.7193685 101.6769700 229.5555052 371.2307038 477.6709513 -5969 476.2603325 370.7959764 227.6534936 98.3966789 19.6385351 0.1055863 0.2118500 22.0369518 101.8795954 229.3963792 370.3809037 475.7220015 -5968 473.8479045 369.1918626 227.0693848 98.6048348 20.0567840 0.1277841 0.2534797 22.4174894 102.1941493 229.2946053 369.4775759 473.6813669 -5967 471.2985448 367.5930594 226.5579103 98.8224421 20.4303646 0.1540910 0.3038093 22.9186254 102.7732618 229.4334567 368.6181213 471.5028110 -5966 468.6395638 365.8627706 225.9869618 99.0182449 20.7793259 0.1853455 0.3572359 23.4701005 103.5444743 229.8673643 368.0101399 469.4051090 -5965 465.6993498 363.7942247 225.2447019 99.1751099 21.1102595 0.2173337 0.4128293 24.0950210 104.6263083 230.8101128 367.8526033 467.4231527 -5964 462.5886074 361.2879505 224.1934570 99.2554871 21.4520522 0.2519127 0.4627079 24.6792648 105.8650768 232.2464480 368.3436251 465.8353689 -5963 459.6805029 358.6757615 222.9724012 99.2652576 21.7931538 0.2881142 0.5033359 25.1280678 107.0069409 233.8410415 369.2701814 464.7393311 -5962 457.0313741 355.8226857 221.4382058 99.1670804 22.1622237 0.3295086 0.5178467 25.3331065 107.9264800 235.6279857 370.8641956 464.3896209 -5961 455.1198801 353.2085802 219.8239700 98.9801545 22.5330887 0.3747040 0.5003758 25.1944479 108.2969309 237.1315043 372.7841108 464.8606377 -5960 454.2994898 351.1269819 218.2525039 98.7080748 22.8933006 0.4249915 0.4493585 24.6211181 107.8423271 238.0018046 374.8487224 466.2916772 -5959 454.8131515 349.8576113 216.8852234 98.3713015 23.2137855 0.4828636 0.3782085 23.6187900 106.4361483 237.9616780 376.8090298 468.6720779 -5958 456.9220029 349.7513123 215.9394672 98.0067839 23.4567696 0.5386825 0.2952553 22.2428873 103.9984370 236.6823804 378.2801206 471.8919698 -5957 460.8777502 351.2028938 215.6700105 97.6649770 23.5792033 0.5818215 0.2108974 20.5943662 100.5318924 233.8442238 378.7729125 475.7311357 -5956 466.4708960 354.2207589 216.1600318 97.3864361 23.5614621 0.6036441 0.1387025 18.8568806 96.3722957 229.6061168 378.0721588 479.8016797 -5955 473.4938452 358.9093207 217.5633175 97.2267020 23.3791171 0.5952320 0.0932377 17.2047199 91.8769792 224.1385648 375.8767033 483.5850712 -5954 481.5830790 365.2747895 219.9959348 97.2366218 23.0179332 0.5516303 0.0638062 15.7871770 87.4479891 217.7802114 372.0243772 486.5023407 -5953 489.7824177 372.7022315 223.2575014 97.4159642 22.4997268 0.4777416 0.0420707 14.7375067 83.6568340 211.4272813 367.0287543 488.1279512 -5952 497.4369559 380.8746805 227.3100433 97.7783966 21.8234020 0.3849554 0.0300542 14.1358703 80.8369784 205.6228393 361.1958653 488.1134895 -5951 503.6891746 388.9909855 231.8174254 98.2776617 21.0191353 0.2886917 0.0299587 14.0283943 79.2942811 201.0974403 355.3251714 486.5023884 -5950 507.7497263 396.1417169 236.3479946 98.8446711 20.1205837 0.1904042 0.0427277 14.4601419 79.2595897 198.4646909 350.2579138 483.5975269 -5949 509.1843750 401.4864256 240.4243698 99.3958142 19.1702323 0.1142644 0.0680793 15.4580429 80.8298537 198.0839619 346.6850746 479.9080056 -5948 508.0890172 404.6239129 243.7237008 99.8666559 18.2059142 0.0615550 0.1055237 17.0205912 83.9191776 199.9050343 344.8518094 475.9153444 -5947 504.3193943 404.6808668 245.5817601 100.1533386 17.3150607 0.0102310 0.1700059 19.1425667 88.5730162 204.2032813 345.3770707 472.2850719 -5946 498.5420244 402.0084498 245.9795271 100.2469809 16.5396849 -0.0005568 0.2788445 21.7311581 94.4670181 210.4639296 347.8935598 469.2226053 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477.0779351 -5938 449.7442629 339.5467858 211.3259982 95.1176692 18.9567360 0.0105231 0.1143458 26.7490793 128.7550671 275.6129510 411.9153397 484.5565475 -5937 453.6588053 337.4765070 207.9183726 94.0699900 19.8076867 0.0675811 -0.0013678 22.2738344 121.8211965 274.3413043 418.8522491 494.0034849 -5936 461.5244249 338.6450838 205.9779852 93.0969930 20.4567266 0.1235869 0.0000000 17.6450829 111.8970158 268.2383675 422.8836021 504.8814695 -5935 473.1651332 343.2494599 205.7300231 92.3160458 20.8496720 0.1694802 0.0000000 13.5462440 100.1962963 257.3905051 422.8521844 516.1186202 -5934 488.2124684 351.6181877 207.5127486 91.8802031 20.9530798 0.2172645 0.0000000 10.2864431 88.1541033 242.4524360 417.4950778 526.0335136 -5933 505.2952866 363.3946299 211.3469157 91.8951208 20.8067561 0.2418467 0.0000000 8.0224311 77.2595152 225.3121522 406.8865556 532.6817994 -5932 522.5318592 377.9926206 217.2089919 92.4375014 20.4473258 0.2349194 0.0000000 6.6567075 68.5708444 208.1701108 391.8853566 534.4354957 -5931 537.7006000 394.3041228 224.8427069 93.5089474 19.9169437 0.1999592 0.0000000 6.0632475 62.6139596 193.0792068 374.4147593 530.4277625 -5930 548.4964720 410.6064648 233.6733999 95.0213648 19.2544688 0.1488585 0.0000000 6.1684929 59.5551357 181.5961242 356.9850815 521.2200133 -5929 553.1744266 424.6334216 242.7284815 96.7909120 18.5024299 0.1050310 0.0000000 6.9917178 59.3834962 174.6696738 342.0733918 508.5879555 -5928 551.5213283 434.7900362 251.1503114 98.6311682 17.6849641 0.0609377 0.0000000 8.6400376 61.8819147 172.2307373 330.8476450 494.3822129 -5927 543.8432137 439.2493506 257.6694283 100.2990431 16.8780443 0.0152208 -0.0003686 11.2783269 66.9757411 174.2589645 324.2479653 480.6495077 -5926 531.5252169 437.6546586 261.5373529 101.6398655 16.1569788 -0.0007372 0.0819783 15.0153221 74.3800795 180.0692572 321.9436056 468.4612981 -5925 515.7608230 430.1633853 262.2206812 102.5644184 15.6185499 -0.0002045 0.3283935 19.8684521 83.9006224 189.1357947 323.4347874 458.2099270 -5924 497.9262733 417.8646573 259.7164936 103.0717432 15.3650539 -0.0000105 0.8540678 25.6570208 95.0516762 200.6258714 327.8400009 449.8007201 -5923 478.9472275 401.9010924 254.2714003 103.2094547 15.4944737 0.0000000 1.6005938 32.0658762 107.3806184 213.9520218 334.5002824 442.9715468 -5922 460.1078603 384.0729638 246.6816348 103.0736455 16.0743467 -0.0000741 2.4536357 38.4573750 119.9984617 228.1304053 342.5274927 437.4747724 -5921 442.2430177 365.6688530 237.6323471 102.7130101 17.1621590 -0.0005618 3.1904741 44.0536075 132.0691201 242.5575221 351.5751149 433.3374869 -5920 426.5358941 348.1015943 227.9501105 102.1319759 18.7578831 0.0199558 3.5023476 47.8294332 142.3675913 256.4107428 361.3938424 430.9280495 -5919 414.0699189 332.6538284 218.4996421 101.3074802 20.7376481 0.1035029 3.2518797 48.9143442 149.5781613 268.7600220 371.7656022 430.8070004 -5918 405.7871187 320.1723395 209.8686556 100.1850241 22.8955470 0.2550054 2.5277573 46.7515289 152.3584086 278.6413796 382.6945731 433.7415155 -5917 402.6235645 311.4575413 202.6283240 98.7714258 24.9282916 0.5297405 1.6167880 41.4718619 149.5020040 284.6397399 393.8034525 440.4421753 -5916 405.2690731 307.1709644 197.3102580 97.1912632 26.5262164 0.9130136 0.8383189 34.1680440 140.6761743 285.0770200 403.9676162 451.0562281 -5915 414.1523518 307.7168577 194.2261660 95.6166095 27.5246538 1.3016162 0.3211773 26.2790571 126.6341380 278.5340066 411.5645392 465.2667087 -5914 429.1332988 313.3986956 193.7174089 94.3026463 27.8768623 1.6087219 0.0900271 19.2812616 109.6835581 264.6741513 414.2081367 481.4899992 -5913 449.6423783 324.4961275 196.1197767 93.5034680 27.6445238 1.7595497 0.0041404 13.9292705 92.5611997 244.6798372 409.6248112 497.0964680 -5912 473.7422334 340.5700714 201.4582168 93.3859974 26.9629316 1.7174590 -0.0000068 10.3229355 77.7670226 221.8434240 397.3636054 508.8374381 -5911 498.6424122 360.7671068 209.6311339 94.0243470 25.9399121 1.4992980 0.0000000 8.1851010 66.6222609 199.8474256 379.0363330 513.9536936 -5910 520.6393390 383.2723596 220.1640739 95.3595603 24.6468602 1.1726280 0.0000000 7.2107597 59.5779602 181.9034195 358.2194628 511.2699173 -5909 536.7666300 405.4859865 232.0382500 97.1427852 23.1388441 0.8039351 0.0000000 7.1147461 56.2567121 169.5646004 338.9563114 502.5103087 -5908 545.0339271 424.3624674 243.9068198 99.0667728 21.4418300 0.4631790 0.0000000 7.8747241 56.4350629 163.4888072 324.3239912 490.5581010 -5907 545.9836250 437.7980993 254.4097197 100.8031466 19.6125809 0.2092526 -0.0003222 9.5102524 59.6148406 163.0237746 315.4139350 478.4694542 -5906 540.7914729 444.1988946 262.1123101 102.0606689 17.7668722 0.0711196 0.0344413 12.1154915 65.5511442 167.5927575 312.4835844 468.4212126 -5905 531.2505843 443.5206234 266.2364776 102.7070435 16.0444105 -0.0007219 0.1298758 15.7483691 73.9267019 176.2972181 314.7091013 461.2055413 -5904 518.9221308 436.7395589 266.6651328 102.7637184 14.5898240 0.0000000 0.3521871 20.3642867 84.3334099 188.1672659 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0.1839179 0.4674797 22.7076726 96.4052169 214.8446446 351.7065756 463.2144077 -2080 473.6518034 376.5520406 233.1171248 100.5398670 20.3925191 0.1717372 0.5584009 24.1785527 100.1736761 219.6194391 354.5680720 461.6777103 -2079 469.1455970 372.0263869 231.0569736 100.3179188 20.4479190 0.1660454 0.6030150 25.2349384 103.4453414 224.3963890 358.2248238 461.3839997 -2078 465.9097416 367.9944631 228.8885209 99.9770266 20.5367237 0.1646490 0.5904969 25.7412842 105.8267845 228.5881204 362.1698044 462.2617242 -2077 464.1566657 364.7985598 226.8406269 99.5508224 20.6291292 0.1656642 0.5268905 25.6674123 107.1522600 231.9055300 366.1225714 464.2252001 -2076 463.8343306 362.5875604 225.0848662 99.0783925 20.6891369 0.1661938 0.4395175 25.1138637 107.4937284 234.2714197 369.8577338 467.0443801 -2075 465.0448138 361.5877268 223.7936716 98.5942717 20.6884324 0.1642131 0.3427604 24.1454625 106.8187399 235.4711218 373.0833660 470.5678696 -2074 467.6154973 361.8808743 223.1175904 98.1470718 20.5933527 0.1567257 0.2483161 22.9531723 105.3604496 235.5136926 375.5097662 474.4032624 -2073 471.0300684 363.0522386 222.8959634 97.7389309 20.4199307 0.1449771 0.1689103 21.6988539 103.4997155 234.8249480 377.3242750 478.3240683 -2072 475.1681258 365.2157402 223.2710314 97.4131441 20.1463551 0.1304921 0.1207231 20.5147566 101.4241156 233.4051396 378.2438009 481.9686940 -2071 479.4537627 367.8529345 224.0083015 97.1571299 19.8071321 0.1145521 0.0870242 19.5009649 99.4873630 231.7687610 378.6025370 485.1732522 -2070 483.4869617 370.6619067 224.9903844 96.9701060 19.4201648 0.0956077 0.0585966 18.7245485 97.9204118 230.2344079 378.5759511 487.7785497 -2069 486.9522056 373.3293321 226.0614672 96.8385631 19.0129423 0.0744642 0.0359800 18.1993304 96.8473829 229.0561878 378.3964252 489.7612674 -2068 489.7039610 375.6455183 227.0936688 96.7468480 18.6131418 0.0503111 0.0222940 17.8975239 96.2657404 228.3331559 378.2315410 491.1885127 -2067 491.4510440 377.1856401 227.8382780 96.6634614 18.2605902 0.0294357 0.0145472 17.8013237 96.2501641 228.3385285 378.4481583 492.1941960 -2066 492.4405036 378.1062087 228.3323213 96.5882934 17.9660310 0.0144626 0.0103361 17.8344726 96.5816929 228.8027142 378.9113358 492.8879731 -2065 492.7044942 378.2964928 228.4656611 96.5028678 17.7574950 0.0056625 0.0077654 17.9320358 97.1465150 229.6883926 379.7313486 493.4353897 -2064 492.3805323 377.8012590 228.2196962 96.4005555 17.6494140 0.0017716 0.0056937 18.0319413 97.7982896 230.8563341 380.8838011 493.9510614 -2063 491.8439200 376.9700520 227.7440251 96.2948062 17.6357879 0.0009308 0.0035291 18.0610401 98.2792590 231.9190616 382.0737918 494.4770684 -2062 491.3002974 375.9723624 227.1021170 96.1887346 17.7168144 0.0025951 0.0010918 17.9698091 98.4330525 232.6672421 383.1683681 495.0661805 -2061 490.8524574 374.9364347 226.3647039 96.0900759 17.8838735 0.0078426 -0.0008807 17.7542617 98.2074076 232.9883984 384.0515399 495.6952833 -2060 490.8634992 374.3234986 225.7883057 96.0300392 18.1035080 0.0176117 -0.0010319 17.4097292 97.4455702 232.4978969 384.2972753 496.2582746 -2059 491.3046255 374.1745927 225.4214294 96.0184084 18.3622064 0.0325525 -0.0008958 16.9801487 96.2231704 231.2192448 383.8433502 496.6611601 -2058 492.1070759 374.5563994 225.3497789 96.0738872 18.6357548 0.0518819 -0.0008141 16.5394826 94.6858811 229.2216193 382.5945440 496.7365558 -2057 493.2832930 375.6474043 225.7209848 96.2246278 18.8934662 0.0721287 -0.0008184 16.1535570 92.9429755 226.4943424 380.3582405 496.2716410 -2056 494.5333230 377.2839353 226.5106262 96.4784107 19.1222418 0.0884732 -0.0009417 15.9067884 91.2591507 223.3598888 377.2729978 495.0885788 -2055 495.4611578 379.1589273 227.6117194 96.8296992 19.3193629 0.1021793 0.0028527 15.8716515 89.9105293 220.2412395 373.6338398 493.0790186 -2054 495.9351298 381.2742100 229.0822077 97.2919069 19.4616042 0.1122637 0.0185191 16.1029580 89.0350917 217.2872557 369.4699384 490.1291344 -2053 495.4462561 383.0103112 230.6043666 97.8192193 19.5726882 0.1197013 0.0491251 16.6362553 88.8753182 215.0564021 365.4086840 486.4364676 -2052 493.8202024 384.1295593 232.0603073 98.3899857 19.6507694 0.1243091 0.0878740 17.5019990 89.5335711 213.7661426 361.7113551 482.1035796 -2051 490.9562054 384.3095153 233.2295146 98.9594481 19.7134433 0.1270163 0.1347593 18.6881478 91.0337025 213.6003076 358.7274779 477.4139534 -2050 486.9153574 383.3532838 233.9272207 99.4831662 19.7783336 0.1293404 0.2218921 20.1567552 93.3250605 214.6158840 356.6979006 472.6768736 -2049 481.7044100 380.9530300 233.8817749 99.9043377 19.8799951 0.1327778 0.3359960 21.8547304 96.3820241 216.9500885 355.9560242 468.2391140 -2048 475.9104280 377.5269975 233.2046334 100.2140594 20.0192523 0.1378364 0.4659935 23.6490969 99.8750891 220.1728447 356.2462937 464.3000000 -2047 469.6484812 372.9338477 231.7018130 100.3648134 20.2352147 0.1474727 0.6134117 25.4162594 103.6893982 224.3332588 357.8143395 461.1621402 -2046 463.5182507 367.6864425 229.5509169 100.3552059 20.5291296 0.1632899 0.7382208 26.9491690 107.4131481 228.9664569 360.4003415 459.0097767 -2045 457.9744642 362.2314706 226.9454527 100.1924587 20.8928387 0.1864893 0.8096059 28.0724364 110.7028885 233.6927249 363.7820942 457.9535743 -2044 453.4518982 356.9394692 224.0353821 99.8734356 21.3202299 0.2189822 0.8093829 28.5862578 113.1759159 238.1522796 367.8358888 458.1969754 -2043 450.4003621 352.3083728 221.0985897 99.4215571 21.7736952 0.2599241 0.7330340 28.3734044 114.4785714 241.8823951 372.2529830 459.8065184 -2042 449.2515542 348.8734571 218.4619090 98.8761771 22.1969679 0.3054313 0.5945417 27.4046601 114.3049221 244.3505711 376.5990061 462.7707921 -2041 450.2206452 346.8890165 216.2927367 98.2624834 22.5518647 0.3519825 0.4339790 25.7355057 112.5258108 245.2340522 380.6010367 467.0726131 -2040 453.4087833 346.6509708 214.8380835 97.6392000 22.7820949 0.3916901 0.2865406 23.5795306 109.2474444 244.2550820 383.7670181 472.4196192 -2039 458.9233726 348.4845499 214.3527449 97.0742211 22.8399446 0.4160236 0.1618069 21.1701195 104.6586932 241.1541326 385.5018587 478.4164069 -2038 466.3258135 352.2065695 214.8354785 96.6104161 22.7205216 0.4202424 0.0898265 18.7845394 99.3248812 236.2997955 385.6272929 484.5242662 -2037 475.2495440 357.8321967 216.4080280 96.3098139 22.4108297 0.3997105 0.0355258 16.6428289 93.7565631 229.9988213 383.8198734 490.0654741 -2036 484.8959328 365.0103800 219.0219154 96.2094904 21.9221584 0.3542307 0.0027265 14.9263386 88.6007857 223.0054879 380.1955813 494.3508092 -2035 494.4888615 373.2408378 222.5034873 96.3054894 21.2855314 0.2894880 -0.0005105 13.6853620 84.2746043 216.0711726 375.2108229 497.0094689 -2034 502.9244684 381.7111363 226.5612520 96.5781208 20.5320239 0.2132296 -0.0002601 12.9955464 81.2694736 210.1576228 369.6381854 497.7621610 -2033 509.6714498 389.9260751 230.9741978 96.9890558 19.6885660 0.1401076 -0.0002186 12.8209064 79.6333398 205.6222183 364.0327949 496.7612674 -2032 513.8587224 396.7086250 235.1429237 97.4467348 18.8139099 0.0922642 -0.0003569 13.1789318 79.6057794 203.2201943 359.4884616 494.4696810 -2031 515.4960868 401.6478881 238.7725293 97.8917515 17.9454080 0.0413963 -0.0007317 14.0251076 81.0318005 202.8951644 356.3318411 491.3989003 -2030 514.5017238 404.2281834 241.4938635 98.2636851 17.1286914 0.0025528 0.0089026 15.3567972 83.8733880 204.7115967 354.9110112 488.0072109 -2029 511.1946839 404.1322581 242.9236028 98.4950884 16.4348091 -0.0004827 0.0442077 17.0702980 87.8779580 208.4940960 355.4416920 484.8877058 -2028 506.0413321 401.5791704 243.0330226 98.5830819 15.8967734 -0.0000469 0.0928808 19.0883176 92.8040945 213.8818668 357.6748410 482.2005673 -2027 499.6455839 396.9586174 241.8586767 98.5289503 15.5533790 0.0000000 0.1401466 21.2363673 98.2628501 220.4081443 361.3295813 480.0999442 -2026 492.5094931 390.6155125 239.4347771 98.3330916 15.4470581 0.0000000 0.1874473 23.2815090 103.8497932 227.6974743 366.2473566 478.7637909 -2025 485.3042947 383.3707575 236.1539814 98.0380021 15.5672328 0.0000000 0.2308556 25.0011930 109.0801309 235.1188539 371.8916323 478.1758204 -2024 478.6494051 375.8741035 232.3129108 97.6604720 15.9113422 0.0000000 0.2454516 26.1223404 113.4065224 242.0986591 377.9268191 478.4252750 -2023 473.0460689 368.6731692 228.2062605 97.2125506 16.4576183 -0.0000004 0.2231622 26.4525501 116.3811248 248.1523226 384.0699002 479.6234698 -2022 469.0316076 362.4522366 224.2502309 96.7224127 17.1453840 -0.0003198 0.1785394 25.9159006 117.5881352 252.6476623 389.8185537 481.7828042 -2021 467.0421671 357.7498672 220.7864977 96.2154655 17.9025163 -0.0010292 0.1280614 24.5553781 116.7544681 255.0225018 394.6781868 484.9088371 -2020 467.1553207 354.7389320 217.9768118 95.7138126 18.6681551 0.0196875 0.0663938 22.5724764 113.9644977 255.0677460 398.3530057 488.8825000 -2019 469.5852139 353.8810528 216.1759668 95.2855363 19.3487435 0.0665432 0.0125563 20.2733388 109.4370768 252.4169578 400.1321668 493.2972256 -2018 474.0280900 355.1307699 215.4666541 94.9819375 19.9000997 0.1079577 -0.0007975 17.9831550 103.7752386 247.3248297 399.7370337 497.6199672 -2017 480.0516915 358.3767203 215.8980960 94.8547657 20.2976943 0.1400672 -0.0002019 15.9506380 97.6416180 240.2607403 396.9830425 501.2232852 -2016 486.8903974 363.3488532 217.4898606 94.9618767 20.5254833 0.1711294 -0.0000089 14.3963332 91.8390168 232.0496913 391.8943644 503.3089761 -2015 493.7440125 369.5905510 220.1108573 95.3173893 20.5994269 0.1951087 0.0000000 13.3794692 86.9008521 223.5750029 384.9191998 503.4505067 -2014 499.4343234 376.1835195 223.4025279 95.8941542 20.5546299 0.2048961 -0.0000324 12.9508699 83.3723753 216.0133487 377.0457406 501.3849535 -2013 503.3657972 382.5866392 227.1442310 96.6598570 20.4074823 0.1999560 -0.0002984 13.0938102 81.3751595 209.8988602 368.9612159 497.3021843 -2012 504.7261230 387.7358946 230.7955651 97.5259768 20.2030451 0.1847613 0.0008846 13.8184274 81.0954944 205.9698734 361.7791836 491.6791239 -2011 503.5204517 391.0468230 233.9209400 98.3941886 19.9867051 0.1656060 0.0394909 15.0423765 82.3195994 204.2673723 356.1231575 485.3174968 -2010 499.7472282 392.0650689 236.1824527 99.1961785 19.7859048 0.1460581 0.0980063 16.7716119 85.0140715 204.8607886 352.3551045 478.7257954 -2009 494.0369565 390.7428963 237.2939696 99.8497134 19.6550565 0.1315914 0.1893399 18.8452956 88.7683163 207.3556880 350.5618953 472.6016538 -2008 486.8626296 387.1648968 237.1068356 100.3101321 19.6339693 0.1241846 0.3278095 21.1429620 93.3323151 211.4885237 350.7027120 467.3001443 -2007 479.0305439 381.9451249 235.7695591 100.5720111 19.7432341 0.1240414 0.4861614 23.4533801 98.2412047 216.6587554 352.3737356 463.0279572 -2006 471.2273736 375.6538633 233.4539644 100.6339804 19.9999670 0.1328235 0.6524753 25.5310483 103.0436601 222.3687141 355.2802608 459.9666590 -2005 464.1059720 368.9505299 230.4355395 100.5081705 20.4025421 0.1541268 0.7699279 27.1096475 107.2428292 228.0756694 359.0902440 458.2414442 -2004 458.2714243 362.6121812 227.1495153 100.2353186 20.9050356 0.1890213 0.8126683 28.0058277 110.3979729 233.1853865 363.3215379 457.8271434 -2003 454.2218973 357.2343086 223.9436958 99.8456209 21.4574321 0.2371163 0.7754429 28.0865358 112.1204464 237.1776299 367.6044128 458.7677682 -2002 452.2657125 353.2115431 221.0813576 99.3678606 22.0045821 0.2952691 0.6659150 27.3383897 112.1943614 239.6762154 371.6392033 461.0578452 -2001 452.5844607 351.0498840 218.9754876 98.8802423 22.4507654 0.3527048 0.5247286 25.9677760 110.6687251 240.2992146 374.8067855 464.3294413 -2000 455.1086886 350.8035158 217.7227411 98.4168746 22.7581322 0.4022060 0.3900512 24.1646945 107.7415684 239.0134798 376.8746717 468.3678354 -1999 459.5188002 352.4635205 217.4483149 98.0376157 22.8842748 0.4357698 0.2780139 22.2343772 103.9028030 236.0178560 377.5389234 472.6447107 -1998 465.3291325 355.9044821 218.2211648 97.7983340 22.8047422 0.4423511 0.1923771 20.4541383 99.7403427 231.7241816 376.6174602 476.5463465 -1997 471.8057756 360.6398289 219.8808375 97.7097751 22.5372325 0.4186559 0.1357864 18.9996973 95.8427095 226.8641146 374.3875609 479.6324765 -1996 478.2088858 366.1076791 222.2016856 97.7586068 22.1102515 0.3730309 0.1066753 17.9586337 92.6502967 222.1594244 371.3168663 481.6544095 -1995 483.7006860 371.6957711 224.9728322 97.9359424 21.5397313 0.3074914 0.0952219 17.4469395 90.6290448 218.3614547 367.9145936 482.3439398 -1994 487.8468218 376.6594505 227.7311760 98.1552310 20.8930868 0.2345200 0.0925062 17.3698205 89.7835248 215.9178653 364.9797784 482.1496644 -1993 490.2378960 380.4142320 230.1580668 98.3673729 20.2058779 0.1640098 0.0983934 17.7375445 90.2363049 215.1949378 363.0308250 481.2964910 -1992 490.8861096 382.6200389 231.9644239 98.5143152 19.5280174 0.1148531 0.1106862 18.4612043 91.8267378 216.1840156 362.3925257 480.2214737 -1991 490.0243693 383.0778882 232.8862828 98.5412363 18.9199058 0.0794334 0.1256287 19.3992990 94.2806168 218.7262584 363.2755025 479.4032366 -1990 488.0333801 381.9054298 232.8587076 98.4301234 18.4210352 0.0448212 0.1395344 20.4126995 97.2930124 222.5098178 365.6074637 479.1242051 -1989 485.4222798 379.4764301 231.9786066 98.1886179 18.0561948 0.0194361 0.1483367 21.3390536 100.4796143 227.0683863 369.1126877 479.5226746 -1988 482.8186835 376.2609992 230.3799532 97.8206873 17.8495232 0.0065150 0.1455233 21.9425050 103.3156818 231.8319241 373.5149270 480.8116806 -1987 480.6650041 372.7402697 228.2952400 97.3527268 17.7944858 0.0018421 0.1288623 22.0876520 105.4342772 236.3261283 378.4661783 483.0450223 -1986 479.6020075 369.6777243 226.1398501 96.8316926 17.8497265 0.0013645 0.0978538 21.6734073 106.3851955 239.8242814 383.3367721 486.1594079 -1985 479.8927648 367.3744499 224.0878387 96.2755661 17.9919110 0.0042555 0.0496865 20.6858047 105.9605746 241.9772396 387.8486332 490.1432612 -1984 481.9574592 366.4440451 222.5273502 95.7391070 18.1571783 0.0106520 0.0055379 19.2182725 104.0040771 242.2149003 391.3208724 494.7757589 -1983 485.6924874 367.0881357 221.6851184 95.2781554 18.2902360 0.0192344 -0.0005569 17.5227556 100.8221741 240.4830087 393.2919344 499.5842874 -1982 491.0891033 369.4728335 221.7030881 94.9296656 18.3621895 0.0281787 -0.0000019 15.7554311 96.6317831 236.7305563 393.4041867 504.2386136 -1981 497.5638434 373.5006937 222.7007902 94.7563441 18.3349214 0.0336445 0.0000000 14.2024058 92.1261834 231.4601578 391.4391466 507.9546679 -1980 504.5107049 378.9462225 224.6851211 94.7942884 18.1998240 0.0334211 0.0000000 13.0103946 87.8464935 225.2592301 387.4603359 510.1453484 -1979 511.0189015 385.2048930 227.4619231 95.0452059 17.9728546 0.0274724 0.0000000 12.2688688 84.3398671 219.0129094 382.0125021 510.4570635 -1978 516.1946993 391.6279986 230.8121030 95.4983099 17.6689361 0.0170765 0.0000000 12.0337881 82.0205781 213.5175599 375.7439496 508.6802550 -1977 519.1106881 397.3380753 234.3790696 96.1149764 17.3113470 0.0053471 0.0000000 12.3778871 81.2496330 209.5767258 369.5140764 504.8689784 -1976 519.3918031 401.4887348 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366.2085708 229.2867300 99.1352339 18.1137724 0.0071868 0.6152515 29.3780359 116.5608139 241.9113795 371.4219394 464.6242291 -1968 454.6704483 356.9989045 224.3569222 98.8669104 19.1518093 0.0508558 0.6573854 30.3317006 120.3506371 248.3365712 376.6683653 463.4230462 -1967 448.2588137 348.9113265 219.4731807 98.4473093 20.3402196 0.1122964 0.6025607 30.0624463 122.0298131 253.2541002 382.0349020 463.9050641 -1966 444.5797503 342.7244293 215.1561723 97.9216807 21.5493430 0.1978923 0.4872106 28.6164485 121.2095499 255.9015970 386.9099231 466.0667114 -1965 444.0304672 338.8938178 211.7302530 97.3330257 22.6670364 0.3363319 0.3467707 26.2040430 117.7779945 255.7177544 390.7856192 469.8827413 -1964 446.9725384 337.9029741 209.5285617 96.7508460 23.5869448 0.4959311 0.2125350 23.1559649 111.8434490 252.1387878 392.9347681 475.1754080 -1963 453.0366802 339.8601325 208.8044644 96.2934172 24.2237900 0.6733210 0.1205386 20.0689281 104.3642144 245.3745830 392.5988233 481.0077732 -1962 461.9957239 344.9222585 209.7499857 96.0564946 24.5483538 0.8039995 0.0729252 17.2652583 96.1040589 235.7290245 389.1507901 486.5350145 -1961 472.7518118 352.6631733 212.3318940 96.1168761 24.5723940 0.8703437 0.0415628 15.0452040 88.2317920 224.4794657 382.6265270 490.6060642 -1960 484.0552858 362.5950602 216.5109541 96.5323856 24.3119172 0.8661380 0.0257321 13.5493542 81.6395055 212.9987661 373.4542126 492.1447604 -1959 494.4124085 373.7248935 221.9455534 97.2743025 23.8098149 0.7958161 0.0251930 12.7860730 76.8965334 202.7553200 362.8838511 490.7386683 -1958 502.4630225 384.8274934 228.1195632 98.2525677 23.1085223 0.6742538 0.0383129 12.7225856 74.2538590 194.8652798 352.4359573 486.6525563 -1957 507.1027749 394.5237534 234.3944724 99.3457281 22.2419759 0.5130594 0.0632648 13.3813056 73.8854387 190.1391770 343.5461866 480.6250412 -1956 508.1047131 401.6862335 240.0527582 100.3931426 21.2637090 0.3512563 0.1053903 14.7244955 75.6368293 188.7300659 337.1965466 473.8249974 -1955 505.6421086 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450.6008151 357.3176203 226.6499361 99.2387069 17.8348005 -0.0008723 1.0338307 34.8677711 128.0750102 253.4966620 375.7847679 458.1802423 -1947 446.2973885 349.1821100 221.0474977 98.2383389 18.4969198 0.0026519 0.7456453 33.9104508 130.8088785 261.6490086 385.6821455 462.8665607 -1946 444.8039174 343.0468724 216.0676194 97.1666186 19.2444828 0.0289004 0.4511932 31.4001932 130.4875300 267.3088579 395.1793627 469.3421249 -1945 446.5301461 339.3683455 212.0415108 96.0613877 19.9638986 0.0748255 0.1978107 27.6516845 126.8544225 269.6899784 403.6219542 477.6285121 -1944 451.7386198 338.5517445 209.2915819 94.9955101 20.5399386 0.1170039 0.0574089 23.2462322 120.1253858 268.1103999 410.1114356 487.4166419 -1943 460.4207037 340.7754214 207.9991687 94.0487778 20.9070973 0.1519769 -0.0005133 18.7991581 110.9863863 262.3110778 413.7459946 498.1268430 -1942 472.0334810 346.0638187 208.3586301 93.3429096 21.0196899 0.1856568 0.0000000 14.9448553 100.7773209 252.7664814 413.5731664 508.4658022 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534.4302185 422.7018779 248.7419265 98.5346952 16.6039823 -0.0010053 -0.0000761 12.0815115 73.5438359 189.1354373 342.8195964 491.0254675 -1933 526.3449960 421.6466811 251.1793260 99.3722314 16.0377043 -0.0003809 0.0149843 14.7926888 79.2185741 193.6478007 341.3179406 482.7032275 -1932 515.9252382 416.8666239 251.5700075 99.9539937 15.6465521 -0.0000582 0.1095481 18.0442346 86.1245435 200.3129865 342.3983686 475.5607221 -1931 503.9415536 408.9190770 249.9311717 100.2790694 15.4811765 0.0000000 0.2595498 21.6786828 93.9314196 208.6552005 345.6354973 469.6568814 -1930 491.1737395 398.6941292 246.5562118 100.3826233 15.5718542 0.0000000 0.4828647 25.4593592 102.2139174 218.1009110 350.4691859 464.8875780 -1929 478.6466974 387.2701673 241.8439006 100.2926108 15.9566059 0.0000000 0.7260257 28.9196300 110.2057549 227.8559585 356.3805441 461.3885108 -1928 466.8923965 375.4570131 236.2580677 100.0482154 16.6249327 -0.0001757 0.9325260 31.7517200 117.4738214 237.4908327 363.0076459 459.0174897 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