# 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 : 60 # 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 28.9334560 69.9689516 155.1971290 281.7325539 424.0567407 525.2383444 518.0817269 404.0230961 252.6959585 126.1000101 50.8202763 22.9732372 -6011 30.1663934 71.1699334 153.1637895 272.5255673 408.2369986 512.2398632 519.1862963 416.5119409 265.1426458 132.4822092 52.7088908 23.7413012 -6010 31.3835733 72.4659435 151.9101968 264.6449240 392.5689301 495.9341143 515.1579018 427.1171970 279.8657017 142.0446357 56.3505474 24.9850519 -6009 32.5207383 73.8104278 151.5561512 258.7267174 378.7239573 478.6146535 506.5599855 433.8967858 294.7383778 153.9440215 61.6345788 26.6781708 -6008 33.5143519 75.1245880 152.1471722 255.1474286 367.7997679 462.2272422 494.6684924 435.7565586 307.6032058 167.0448206 68.4179270 28.8332814 -6007 34.3204869 76.3026932 153.6240685 254.0236572 360.3792897 448.2362931 481.2118750 432.7455156 316.6975059 179.8373821 76.3239766 31.4553577 -6006 34.9230829 77.2121666 155.7746340 255.2494925 356.7950853 437.9184225 468.2995827 426.0279284 320.8851153 190.2942709 84.3606678 34.3971558 -6005 35.3279175 77.7591545 158.4077980 258.6298039 356.9365894 431.5738760 457.0741617 416.9822150 320.3068947 197.2448668 91.6013099 37.4673691 -6004 35.5613024 77.9002789 161.2573628 263.8273060 360.5684212 429.3293185 448.4139002 407.0254406 315.6877729 199.9530065 96.9484859 40.2871746 -6003 35.6459478 77.6768479 164.0472814 270.3422574 367.1803012 430.8944448 442.6444937 397.2674414 308.1973018 198.5576732 99.6814092 42.4238344 -6002 35.5788050 77.1809220 166.5754899 277.7085898 376.2632206 435.8460187 439.6707993 388.2526044 298.8316762 193.6887577 99.6158365 43.5525231 -6001 35.3711889 76.5570640 168.6492231 285.2069304 386.8655828 443.3429437 439.1159909 380.3871709 288.6993283 186.4824769 97.1758262 43.5885242 -6000 35.0269698 75.9140504 170.1042254 292.2035519 398.2801512 452.9471988 440.8640359 373.8962897 278.3777437 177.6553258 92.7733066 42.5544837 -5999 34.5945359 75.3369082 170.8655465 298.0166446 409.4015356 463.6811337 444.4308831 368.9272018 268.6272872 168.3117976 87.3005926 40.7850882 -5998 34.1320252 74.8623733 170.8711059 302.0685476 419.2621396 474.8134858 449.6208629 365.7131531 259.9814410 159.1679847 81.4005428 38.5905977 -5997 33.6946472 74.4911290 170.0992305 303.9162287 426.9322164 485.5968963 456.3019384 364.5616355 252.9493447 150.8134880 75.5982831 36.2543228 -5996 33.3220858 74.2004263 168.6321827 303.4079998 431.6184790 495.1091659 464.1365034 365.7125616 248.0512804 143.8315137 70.3798673 34.0352949 -5995 33.0272221 73.9643598 166.6022507 300.6368609 432.8075370 502.4707793 472.7206268 369.3726882 245.7425212 138.6495463 66.0460668 32.0831878 -5994 32.7961181 73.7574210 164.1914067 296.0124862 430.5517008 507.1262187 481.5656683 375.4947559 246.1918950 135.4187224 62.6854178 30.4404425 -5993 32.5985894 73.5687337 161.6752781 290.1922195 425.2092802 508.4250555 489.6825781 383.6896194 249.5771009 134.4390915 60.4748922 29.1565212 -5992 32.3983692 73.3983202 159.2964662 283.8956636 417.6074785 506.3263311 496.1815216 393.2377803 255.7025194 135.7388316 59.4257318 28.2099794 -5991 32.1579382 73.2424223 157.2642087 277.8605572 408.9322245 501.4380363 500.3968938 403.0535407 263.9102506 139.0842773 59.4553214 27.5559195 -5990 31.8434689 73.0982587 155.7594191 272.6689410 400.1702474 494.3922966 501.7588748 411.9889366 273.5204186 144.3677620 60.6086044 27.1958564 -5989 31.4273098 72.9348225 154.8583390 268.7899608 392.4620268 486.5432077 500.5204067 418.9475302 283.2400464 150.9052343 62.6856452 27.0852174 -5988 30.9066434 72.7256933 154.5324838 266.3303418 386.3292933 478.8559232 497.2835122 423.4831587 292.1188027 158.0780887 65.5042287 27.2012243 -5987 30.2758444 72.4213200 154.7662529 265.4787453 382.3688986 472.3364261 492.7841254 425.2639170 299.0707828 165.0329908 68.7900474 27.5223396 -5986 29.5749591 72.0084940 155.4036357 265.9803159 380.4814152 467.4228661 487.9197000 424.8140919 303.7583901 171.0935071 72.1804081 27.9940774 -5985 28.8358599 71.4679855 156.3311728 267.7432438 380.7866882 464.6187485 483.4534948 422.5547502 305.8201575 175.4937312 75.2038701 28.5252022 -5984 28.1167373 70.8371955 157.4080726 270.4165222 382.8548524 463.7314983 479.7393185 419.1756153 305.6537590 178.0944045 77.5951572 29.0448438 -5983 27.4594479 70.1560043 158.5283661 273.7596093 386.4413048 464.6911497 477.0327722 415.1468586 303.5503485 178.7753800 79.0889945 29.4568262 -5982 26.9125395 69.5013218 159.5549488 277.3422307 391.0036393 467.1606292 475.4822437 411.0523104 300.1028798 177.7312860 79.5550297 29.6698118 -5981 26.4964352 68.9299060 160.4645596 280.9400858 396.1194045 470.6589495 474.8236951 407.0568637 295.8040833 175.4230653 79.1755176 29.7013221 -5980 26.2357491 68.5067781 161.1722480 284.1675336 401.2294269 474.7601271 475.0246537 403.5252794 291.1828240 172.2421064 78.0686828 29.5425754 -5979 26.1369525 68.2641919 161.6624150 286.8150492 405.9363646 479.0600947 475.8950411 400.5781280 286.6029436 168.5937100 76.4693925 29.2482280 -5978 26.1995501 68.2140363 161.9530513 288.7370627 409.8363360 483.0512933 477.1232873 398.2734078 282.4462721 164.9643482 74.7065836 28.9190139 -5977 26.4183690 68.3528641 162.0531772 289.8391510 412.6559409 486.4052342 478.5394909 396.6803224 278.9624198 161.6533906 72.9861261 28.6207547 -5976 26.7817280 68.6627127 161.9856427 290.1225361 414.2764058 488.9209749 480.0049270 395.8008659 276.2784913 158.8420021 71.4479339 28.4021086 -5975 27.2658895 69.1091361 161.8377606 289.7490742 414.6919951 490.3086510 481.1447558 395.4572082 274.5041831 156.8056935 70.3260195 28.3474482 -5974 27.8486363 69.6622898 161.6359675 288.8475928 414.0722623 490.6679973 481.9422530 395.5586518 273.5394443 155.4777714 69.5944233 28.4461660 -5973 28.5028350 70.2882665 161.4394045 287.6285739 412.6657457 490.0870381 482.2667734 395.8979897 273.2473251 154.8261120 69.2718051 28.7047863 -5972 29.1971606 70.9516807 161.3214879 286.3474406 410.7908976 488.6984621 481.9609150 396.1992118 273.4381203 154.8014676 69.3772679 29.1296634 -5971 29.9081173 71.6266902 161.2788478 285.1276827 408.7630487 486.8835941 481.2154877 396.3622961 273.8354572 155.1281568 69.7464242 29.6600547 -5970 30.6135658 72.2899287 161.3204833 284.0861900 406.8337288 484.9154981 480.1376776 396.2801123 274.2275660 155.6203226 70.2782912 30.2575770 -5969 31.2880095 72.9146986 161.4646266 283.3643527 405.2796856 483.0744656 478.8177759 395.8163738 274.3818684 156.0896355 70.8787090 30.8867421 -5968 31.9278319 73.4991534 161.6293677 282.8156544 404.0480652 481.5442523 477.5899998 395.2037880 274.2944070 156.3693161 71.3856292 31.4775439 -5967 32.5174216 74.0268540 161.7968657 282.4698060 403.2731217 480.5380749 476.6152950 394.4464675 273.8354419 156.2983047 71.6918920 31.9863584 -5966 33.0607716 74.5075833 161.9109964 282.1288200 402.6598691 479.8549259 475.9533703 393.8051448 273.2753132 156.0264130 71.8308124 32.4068236 -5965 33.5544388 74.9377394 161.9224793 281.7003975 402.1559664 479.5709587 475.7804915 393.4230777 272.6379334 155.4849380 71.7252440 32.7024238 -5964 34.0104151 75.3341516 161.7712045 280.9356709 401.3477162 479.3480885 476.0964318 393.6119067 272.3042144 154.9253301 71.4664723 32.8881199 -5963 34.4203095 75.6914792 161.5048639 279.8940497 400.1806675 478.9659896 476.6567831 394.2933362 272.3950694 154.5494355 71.1994020 33.0112139 -5962 34.7992018 76.0277085 161.0623918 278.3366435 398.2646896 478.1100687 477.4767275 395.7824208 273.2732549 154.5754734 70.9914068 33.0814580 -5961 35.1340422 76.3357205 160.5349417 276.4332767 395.6606079 476.5624493 478.1809904 397.8589525 275.0023627 155.2200929 71.0168465 33.1587516 -5960 35.4209969 76.6200920 159.9765890 274.2517440 392.3268028 474.0878863 478.4755478 400.4175754 277.7209553 156.7072279 71.4223217 33.2877743 -5959 35.6447450 76.8728992 159.4592067 271.9769877 388.4687355 470.7146652 478.1384795 403.1898267 281.3233306 159.0848697 72.2776971 33.4904184 -5958 35.7850604 77.0814315 159.0792316 269.8743336 384.4253017 466.5905496 476.9407752 405.7647214 285.5513718 162.3349320 73.6510949 33.7940742 -5957 35.8147877 77.2232275 158.9425650 268.2580476 380.6361116 461.9943203 474.7165460 407.6505949 289.9981280 166.3472745 75.5927609 34.2267866 -5956 35.7171475 77.2714907 159.0751333 267.3134756 377.5062068 457.4169401 471.6811616 408.5838416 294.1607551 170.7559749 77.9757616 34.7666769 -5955 35.4707966 77.1865579 159.5190459 267.2868109 375.5101949 453.3943208 468.0712923 408.2786788 297.4531662 175.1099622 80.6476662 35.3967661 -5954 35.0631928 76.9263094 160.2912646 268.3780831 375.0625951 450.4370538 464.2040369 406.5916514 299.3477172 178.8968115 83.3895583 36.0870944 -5953 34.5075650 76.4677378 161.2855737 270.5163914 376.3102925 449.0094196 460.6901547 403.8436753 299.5948803 181.5318722 85.7795800 36.7217606 -5952 33.8114037 75.7892378 162.4684345 273.7851862 379.5065863 449.4622091 457.8352493 400.1269400 297.9627673 182.5800487 87.4970526 37.2134508 -5951 33.0072368 74.9128937 163.7184738 277.9992482 384.5722428 451.9337226 455.9930384 395.8307541 294.5811949 181.8016044 88.2063638 37.4284961 -5950 32.1298268 73.8885807 164.9090775 282.9091295 391.3442870 456.4736767 455.4261281 391.3134246 289.6724350 179.1129206 87.6517843 37.2324224 -5949 31.2182869 72.7932787 165.9231707 288.1823051 399.5023445 462.9524389 456.2436531 386.8783924 283.5682516 174.6630641 85.7643297 36.5455138 -5948 30.3075833 71.7016208 166.7012294 293.5291258 408.6768968 471.0791301 458.3256352 382.6508736 276.6005119 168.8003733 82.7149171 35.3944145 -5947 29.4543429 70.7213800 167.0632883 298.2586858 418.0599496 480.4807867 461.8735951 379.1646525 269.3325881 161.9084753 78.6403738 33.7897088 -5946 28.6932997 69.8941835 167.0072924 302.0754381 427.0854887 490.6272007 466.6175511 376.4780237 262.1336130 154.5241479 73.9796939 31.9150756 -5945 28.0723942 69.2676309 166.4374193 304.4166905 434.8667301 500.9506694 472.6210795 375.0395848 255.5430570 147.1206822 69.0491392 29.9061540 -5944 27.6295004 68.8573894 165.3085204 304.8185048 440.4357098 510.6577988 479.8270564 375.3269026 250.1948405 140.2671666 64.2364979 27.9331316 -5943 27.3753488 68.6390128 163.6661201 303.1683635 443.1816085 519.0201270 488.0308395 377.6198092 246.5391358 134.3931754 59.8520070 26.1368228 -5942 27.3121191 68.5931577 161.5757253 299.3879602 442.3786778 524.9822693 496.8610652 382.3559113 245.2783856 130.0629814 56.2106031 24.6308205 -5941 27.4250615 68.6972355 159.1477563 293.6689732 437.7607718 527.6946498 505.8112070 389.7757658 246.9257480 127.6452830 53.4748833 23.4590133 -5940 27.6710325 68.9237885 156.6248264 286.6277375 429.6544421 526.3860705 513.7681126 399.5705701 251.8453912 127.5644712 51.8551398 22.6629338 -5939 28.0105083 69.2715796 154.2367432 278.8982958 418.6837697 520.6445783 519.5077240 411.1231769 260.2554922 130.1941471 51.5076353 22.2502668 -5938 28.3973073 69.7380078 152.2175954 271.2363206 406.0037346 510.8467435 521.9027262 423.1883301 271.8114178 135.6789424 52.5255185 22.2098522 -5937 28.7684560 70.3083061 150.8352216 264.4782035 393.0235280 497.8940751 519.9519323 433.9174002 285.6408506 144.1166178 55.1095225 22.5674235 -5936 29.0743082 70.9509593 150.2342088 259.2006170 381.0290236 483.2976106 513.6733650 441.6020617 300.2352829 155.1374396 59.3463616 23.3459201 -5935 29.2732660 71.6034023 150.4691479 255.7836940 371.0511222 468.7107771 503.9295864 445.0692553 313.7132140 167.8912498 65.2142780 24.5874771 -5934 29.3185642 72.1553380 151.5731834 254.6041199 364.0252050 455.7183112 492.0215129 443.7285914 324.0373907 181.0076867 72.5305790 26.3600007 -5933 29.2245829 72.5021501 153.4126564 255.6444749 360.2924589 445.4207353 479.6313121 438.2718056 329.9521321 192.7784800 80.6879538 28.6719410 -5932 29.0275478 72.5381445 155.8326148 258.8876643 360.1114770 438.6009584 468.1688546 429.7895253 330.9059536 201.5185891 88.7200199 31.4293483 -5931 28.8002911 72.2165130 158.6380776 264.1862035 363.4818926 435.5797128 458.5781168 419.5326448 327.2235338 206.1062845 95.4830199 34.3833072 -5930 28.6211925 71.5791935 161.6086735 271.2617932 370.2116540 436.3641268 451.3750703 408.5979145 319.7586986 206.1440974 99.9121934 37.1125254 -5929 28.5367383 70.7685326 164.5048502 279.6391624 379.8716979 440.7107533 446.7575280 397.8420585 309.5939193 201.9259908 101.3128925 39.1044990 -5928 28.5372349 69.9513144 167.2093105 288.9407367 392.0519067 448.1788968 444.4090997 387.4782808 297.5483072 194.2442484 99.7189709 40.0557352 -5927 28.6087910 69.3382442 169.5165957 298.3602961 405.8915928 458.1971465 444.1800036 377.9068950 284.5176292 184.0438903 95.4694495 39.7983687 -5926 28.7439163 69.0557538 171.3153557 307.1603083 420.4514116 470.0253505 445.6700043 369.2191263 271.1851065 172.3998915 89.3976100 38.5351378 -5925 28.9734359 69.1689406 172.4460100 314.4640769 434.6403354 483.0377474 448.7800492 361.6838146 258.1448713 160.1639475 82.2710695 36.5768627 -5924 29.3557984 69.6624016 172.7619669 319.3678692 447.0746450 496.3697698 453.4392271 355.7316902 246.1397611 148.2756148 74.9483933 34.3533072 -5923 29.9463871 70.4678990 172.0964066 321.0257281 456.3382690 509.2810018 459.9271815 352.0424640 235.8732416 137.4052161 68.0089623 32.1907846 -5922 30.7686114 71.4619648 170.4259732 319.0083645 461.0630685 520.6345541 468.2666053 351.3086294 228.1638570 128.2978186 62.0267636 30.3908079 -5921 31.8123481 72.5332810 167.7630603 313.1308531 460.0654586 529.2141274 478.5728872 354.4370405 223.8435967 121.4629982 57.2721668 29.0778282 -5920 33.0296099 73.5894759 164.3002220 303.7627740 452.6013663 533.3061182 490.2924662 362.2141989 223.8877345 117.4928439 53.9876395 28.3172709 -5919 34.3424946 74.5853907 160.4441979 292.0512152 439.1990199 531.4138732 501.8886007 374.6331645 228.9378444 116.8073847 52.2873613 28.0946166 -5918 35.6812894 75.5503572 156.6349036 279.2734910 421.1195261 522.5288549 511.1169901 391.0163670 239.5439624 119.8722784 52.2596951 28.3549906 -5917 36.9686721 76.5470477 153.3801107 266.9329026 400.6219781 506.9404844 515.2373002 409.2245180 255.5782085 127.1201077 54.0455266 29.0462968 -5916 38.1142084 77.6220198 151.1429310 256.4736257 380.5504439 486.8110053 512.3652046 425.6891527 275.5101628 138.5973676 57.7879304 30.1256679 -5915 39.0341601 78.7798640 150.1603833 248.6700944 362.9047975 464.9000976 502.5359705 437.1520645 296.9377461 154.0385840 63.7126165 31.6017304 -5914 39.6134976 79.9132223 150.5154401 244.0684381 349.3709744 444.4379583 487.8569858 441.3855740 316.1450580 171.9647909 71.8144552 33.5026220 -5913 39.7423041 80.8306945 152.1451587 242.8775941 340.8223881 427.7380041 471.2530020 438.3063365 329.8129478 190.0106968 81.7911320 35.9067178 -5912 39.3753923 81.2856282 154.7639854 244.8900349 337.3980489 416.1165584 455.6650202 429.9546321 336.3130560 205.2459283 92.5858379 38.8030203 -5911 38.5395590 81.0445064 158.0457499 249.8639091 339.0126202 410.0934933 442.9945777 418.7904380 335.8051558 215.2809884 102.5718474 42.0045890 -5910 37.3394017 79.9749606 161.6076464 257.4779180 345.4721598 409.7798456 434.2921296 406.9305419 329.6039437 218.8284149 109.8177448 44.9949159 -5909 35.9202811 78.1672885 165.0570833 267.1062527 356.0499142 414.4880340 429.5483321 395.7661711 319.7749478 216.4513271 113.1750827 47.1143627 -5908 34.3545392 75.8568254 168.0845050 278.1805290 370.2660584 423.8060132 428.5751486 385.8562903 307.6485387 209.0341193 112.0980278 47.6751212 -5907 32.6943768 73.3887444 170.5339355 289.9691094 387.2159827 436.7504808 430.5340911 377.1383808 294.3200079 198.1765850 107.2955886 46.5155744 -5906 30.9946946 71.0976857 172.2510822 301.4739209 405.7436596 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404.0280393 484.5909876 485.0506871 405.0043413 282.5298101 159.8744023 70.0946607 28.0052386 -2065 27.7330239 69.8017118 159.4234428 282.1105422 405.1733164 486.2076708 486.2812819 405.2455611 281.9375726 158.9998743 69.4022994 27.5910039 -2064 27.5395454 69.6150771 159.2040114 282.0765864 405.7048855 487.3923860 487.5386828 405.8318368 281.6753623 158.2759338 68.7519734 27.2343926 -2063 27.4601744 69.5463482 158.9600661 281.6940596 405.5718527 487.9055963 488.5337766 406.6387468 281.8460997 157.9180957 68.3091601 26.9938096 -2062 27.4954231 69.5981088 158.7164214 280.9769340 404.7059686 487.5800493 489.1047692 407.6311575 282.5486820 158.0695400 68.1696300 26.9005254 -2061 27.6399176 69.7641791 158.4988319 279.9944804 403.1750111 486.4103672 489.1633951 408.7156552 283.7501305 158.7530051 68.3652876 26.9664477 -2060 27.8717168 70.0201586 158.3997281 278.9991733 401.2454428 484.4300450 488.4353326 409.5436689 285.2835828 160.0138171 69.0002297 27.2330691 -2059 28.1824203 70.3545992 158.4351282 278.0805906 399.0854060 481.8003150 486.9478814 409.9974698 286.9914487 161.7489220 70.0386296 27.6926804 -2058 28.5552160 70.7443500 158.6302232 277.3930086 396.9877552 478.8155791 484.7809891 409.8951226 288.5910598 163.7536550 71.4014728 28.3269722 -2057 28.9687135 71.1602678 159.0307649 277.1408986 395.2882504 475.7677627 481.9679660 408.9970057 289.7660001 165.8267566 73.0312845 29.1290105 -2056 29.4108903 71.5820888 159.6168002 277.3840179 394.2065095 473.0029543 478.7792217 407.3025394 290.2660445 167.6671045 74.7506621 30.0459076 -2055 29.8745721 71.9969122 160.3393088 278.1009565 393.8618243 470.8175900 475.5428039 404.9403032 289.9414994 168.9887224 76.3493455 31.0055365 -2054 30.3371943 72.3767563 161.2087384 279.4191896 394.5044414 469.4774650 472.3913593 401.8451351 288.5866279 169.5709736 77.6951984 31.9623194 -2053 30.8027175 72.7321075 162.1066833 281.0960960 395.9604740 469.0906385 469.7186481 398.4282182 286.3515758 169.2698433 78.5667285 32.8113841 -2052 31.2566275 73.0555642 162.9879126 283.0740574 398.2374995 469.7643277 467.6881660 394.8245367 283.2713198 168.0102460 78.8514055 33.4873848 -2051 31.6949998 73.3572210 163.7729125 285.1419237 401.1047358 471.4157791 466.4406563 391.3098762 279.5881131 165.8844263 78.5126388 33.9403297 -2050 32.1123189 73.6451500 164.3904773 287.0783521 404.2803677 473.8862559 466.0492573 388.1344066 275.5821858 163.0702479 77.5904767 34.1489918 -2049 32.5137923 73.9366087 164.7326504 288.5389760 407.3295586 476.9611621 466.6677076 385.6734255 271.6164535 159.7752430 76.1323947 34.0973828 -2048 32.8895002 74.2215846 164.8174843 289.4551012 409.9912717 480.2774932 468.0554679 383.9552289 267.9651006 156.3595807 74.3918319 33.8673679 -2047 33.2511182 74.5124434 164.5474179 289.4689256 411.7315874 483.4991537 470.3320161 383.3981479 265.0493471 153.0842422 72.4690299 33.4781969 -2046 33.5934301 74.7973301 163.9560981 288.5316379 412.2368643 486.1560804 473.2209168 384.0838877 263.2010019 150.3261561 70.6198050 33.0214263 -2045 33.9101565 75.0648187 163.0950223 286.6862527 411.3471382 487.8895318 476.4564501 386.0276471 262.6402039 148.3427762 69.0194371 32.5618644 -2044 34.1970715 75.3126473 162.0103349 283.9527255 408.8611366 488.2758679 479.7427959 389.2980504 263.6688696 147.4279365 67.8330812 32.1511816 -2043 34.4370177 75.5309199 160.8175471 280.5927943 404.9425869 487.0991107 482.6427368 393.6467515 266.3360930 147.7566388 67.1916653 31.8321341 -2042 34.6047035 75.7090538 159.6692071 277.0003271 399.9982743 484.3324632 484.6482920 398.5836764 270.4969983 149.4258358 67.2073107 31.6397540 -2041 34.6842531 75.8468012 158.6602844 273.4364531 394.3696743 480.0761156 485.4450077 403.7025678 275.9813968 152.4676785 67.9350363 31.5853409 -2040 34.6473671 75.9258462 157.9150922 270.3219982 388.7364824 474.8256101 484.8379178 408.3131217 282.2091512 156.6649111 69.3576216 31.6699184 -2039 34.4657094 75.9212062 157.5475518 268.0459350 383.7476154 469.1348896 482.7486745 411.7327814 288.5059848 161.7452580 71.4677323 31.9084333 -2038 34.1321508 75.8073149 157.5469956 266.7367783 379.8299363 463.6765266 479.6032209 413.7202353 294.2194718 167.1938511 74.0705258 32.2663194 -2037 33.6354157 75.5445187 157.9370924 266.6149070 377.4721279 459.0921482 475.7732031 414.0018632 298.6414280 172.4417507 76.9743788 32.7288234 -2036 32.9837826 75.0975732 158.6634552 267.7422985 376.9979880 455.9948126 471.8625557 412.6631063 301.2228200 176.7929944 79.8216600 33.2321260 -2035 32.2065425 74.4577462 159.6312641 270.0050784 378.4012085 454.6246265 468.3388908 410.0585433 301.8634743 179.8194159 82.2965267 33.7069233 -2034 31.3417032 73.6327267 160.7200688 273.2703882 381.7271153 455.3163162 465.7394299 406.5893469 300.4782298 181.0098551 83.9452146 34.0195284 -2033 30.4282948 72.6583278 161.8615793 277.3854358 386.8050639 457.9603129 464.1363692 402.5257306 297.3124204 180.3624472 84.6197553 34.1083843 -2032 29.5219104 71.6152510 162.8818039 281.9181220 393.2368312 462.4847920 463.8746732 398.4320443 292.7660397 177.8575781 84.0523517 33.8311874 -2031 28.6609696 70.5798754 163.7290861 286.5962548 400.6258411 468.5252542 464.7971653 394.4785368 287.2448917 173.8593183 82.3737455 33.1938358 -2030 27.8824110 69.6298826 164.3260663 291.0743645 408.5408885 475.8060612 466.8911003 390.8923857 281.0967970 168.6562783 79.6918935 32.2014173 -2029 27.2314168 68.8510448 164.5752298 294.7998546 416.1451832 483.6931204 470.0646766 388.0823748 274.9691162 162.8320421 76.3190195 30.9374368 -2028 26.7310948 68.2744246 164.4702643 297.5334029 422.9759099 491.7675657 474.1504699 386.1434701 269.1585108 156.7740211 72.5577681 29.5233620 -2027 26.4030823 67.9181954 163.9998181 298.9800019 428.3839096 499.4084210 478.9552039 385.3119996 264.1367180 150.9842375 68.7608924 28.0980377 -2026 26.2677764 67.7927656 163.1354320 298.8154958 431.6416581 505.9403000 484.3701479 385.9732581 260.4488752 145.9294359 65.2145499 26.7714669 -2025 26.3133258 67.8615093 161.9712997 297.1686701 432.5575124 510.8562530 490.0160685 388.1002668 258.3305174 141.9345259 62.1753287 25.6504545 -2024 26.5275858 68.1014380 160.5845881 294.1244311 430.8699412 513.5394942 495.4838271 391.7858377 258.1645667 139.3736367 59.8620451 24.8060489 -2023 26.8878683 68.4870906 159.0761156 289.9263316 426.6352490 513.5958837 500.3123683 396.9405899 260.1569804 138.4790474 58.3984745 24.2680938 -2022 27.3547421 68.9845354 157.6191042 285.0894986 420.3708316 510.9120336 503.8263966 403.0438604 264.2213057 139.3839313 57.8942865 24.0603378 -2021 27.8863674 69.5673582 156.3754423 280.1280658 412.7423514 505.6362909 505.4141771 409.4124045 270.1059336 142.1424063 58.4252981 24.1899212 -2020 28.4542667 70.2199497 155.4395773 275.4185156 404.4283063 498.2592233 504.8217045 415.3833595 277.3513349 146.6096882 59.9659857 24.6383752 -2019 29.0080409 70.8989365 154.9681570 271.5496897 396.4522570 489.6286542 501.8424170 419.9048602 285.0453267 152.4569406 62.5052260 25.4095120 -2018 29.5235438 71.5708329 154.9881436 268.7770521 389.4882339 480.6727897 496.8749052 422.4307089 292.2930175 159.1290818 65.8816798 26.4759933 -2017 29.9827079 72.1952266 155.4918084 267.2595840 384.0382525 472.2244516 490.5105326 422.7050050 298.2719112 165.9776177 69.8763655 27.8081630 -2016 30.3710825 72.7188123 156.4435919 267.1476297 380.6216735 465.1884159 483.5516591 420.6991964 302.1302363 172.1059845 74.0913427 29.3372807 -2015 30.6944628 73.1120394 157.7527629 268.3651398 379.3228694 459.9855635 476.6852493 416.8229108 303.6009567 176.8917626 78.1358777 30.9779830 -2014 30.9740767 73.3684225 159.2584511 270.6789927 380.0663608 456.9511005 470.6727298 411.7609513 302.7017507 179.7454310 81.4692429 32.5627974 -2013 31.2177105 73.4927203 160.8758389 273.9540900 382.7465693 456.1044141 465.7747870 405.9305047 299.6612977 180.5057089 83.7971039 33.9680801 -2012 31.4476198 73.5295225 162.4298543 277.7968765 386.9939283 457.3743642 462.3672063 399.9836449 294.9559057 179.1495802 84.8001107 35.0121652 -2011 31.6793832 73.5394496 163.7988253 281.7731233 392.1990589 460.2691884 460.3910550 394.3854573 289.2922514 176.1680161 84.5655646 35.6345903 -2010 31.9143834 73.5611736 164.8914451 285.5898840 398.0319559 464.6070618 459.8838844 389.3758833 283.0111983 171.8194872 83.1458681 35.7885158 -2009 32.1700215 73.6462261 165.6158081 288.7463873 403.6688835 469.6608408 460.6220050 385.3271357 276.8605008 166.8407274 80.9434028 35.5635500 -2008 32.4570435 73.8148032 165.9025430 290.8791694 408.5227338 474.9745917 462.5325763 382.5101389 271.2925149 161.6846458 78.2434167 35.0455874 -2007 32.7804292 74.0610789 165.7637860 291.8040003 412.0792024 479.9572055 465.3192457 381.0396030 266.7311096 156.8798099 75.4417515 34.3872095 -2006 33.1438017 74.3731422 165.2134691 291.3737968 413.8562768 484.0350592 468.7395642 381.0944045 263.5954206 152.8698520 72.8468464 33.7096106 -2005 33.5429713 74.7324992 164.3122808 289.5996259 413.5413187 486.6564929 472.4526256 382.7534380 262.2342337 150.0390774 70.7226217 33.1163891 -2004 33.9518184 75.1053701 163.2057802 286.8204701 411.3070119 487.5405300 475.9782204 385.7480433 262.6809589 148.5756946 69.2406334 32.6769680 -2003 34.3443149 75.4725674 162.0338325 283.3808898 407.4074509 486.4911444 478.8281369 389.7629434 264.9380759 148.6333164 68.5249311 32.4304677 -2002 34.6933592 75.8210004 160.9225109 279.6424042 402.2566486 483.5528282 480.6032239 394.3804386 268.8478281 150.2378249 68.6222310 32.3842333 -2001 34.9486236 76.1132582 160.0658382 276.2675073 396.8444202 479.3315628 480.9544769 398.6948440 273.6750874 153.0827797 69.4800152 32.5266501 -2000 35.0873065 76.3350160 159.5208873 273.5036334 391.6605696 474.2980935 479.8929217 402.2735694 278.9577139 156.9257516 71.0227005 32.8325636 -1999 35.0792323 76.4496151 159.3399304 271.6798118 387.4175111 469.2660426 477.6845183 404.6089424 283.8984331 161.2175037 73.0443859 33.2529264 -1998 34.9012563 76.4146283 159.5350529 271.0342261 384.7107011 465.0346024 474.7771770 405.4005883 287.7327423 165.3154038 75.2711708 33.7271792 -1997 34.5573483 76.2066776 160.0194676 271.5147683 383.7198025 462.1289342 471.7783714 404.8305227 290.0829926 168.6656990 77.3740302 34.1703360 -1996 34.0633122 75.8174519 160.6862997 272.9765965 384.4360123 460.8410090 469.1989919 403.2386113 290.8381857 170.8712745 79.0484607 34.4939615 -1995 33.4336902 75.2408830 161.4469380 275.3627967 387.0050129 461.5692009 467.5161242 400.8591341 289.7983676 171.4608646 79.9270762 34.5836393 -1994 32.7206908 74.5358638 162.1404329 278.1862423 390.7922644 463.9250384 466.9149044 398.3311601 287.5721841 170.6596851 79.9498282 34.3878060 -1993 31.9572600 73.7459529 162.6718624 281.1948446 395.5530837 467.8495259 467.5679848 395.9449019 284.3732465 168.4849731 79.0152795 33.8517478 -1992 31.1864400 72.9350351 162.9632015 284.0285689 400.7473114 472.9093928 469.4060671 394.0145521 280.6819297 165.3068770 77.2678002 33.0042246 -1991 30.4548922 72.1709698 162.9396697 286.2561146 405.6631277 478.5016089 472.3043594 392.9086838 277.0918235 161.6286891 74.9577121 31.9177774 -1990 29.7940122 71.4951624 162.5850019 287.6173026 409.7721087 484.1041072 476.0715788 392.8223795 274.0226532 157.8752946 72.3507845 30.6892017 -1989 29.2261522 70.9312124 161.9323287 287.9885370 412.6573735 489.1794107 480.4069643 393.8350622 271.8240123 154.4584788 69.7359926 29.4336726 -1988 28.7673192 70.4974602 161.0220663 287.2425338 413.8141463 493.0270870 484.9258003 396.0987798 270.9877849 151.8902873 67.4337677 28.2662900 -1987 28.4166223 70.1908156 159.9376562 285.4934525 413.1528621 495.2714997 489.2565609 399.5235984 271.6855369 150.4244587 65.6274873 27.2582288 -1986 28.1512344 69.9893235 158.8398549 283.1089163 410.9138566 495.6499970 492.7945358 403.6867512 273.9048284 150.2950030 64.5297446 26.4865374 -1985 27.9592167 69.8874882 157.8094832 280.2935208 407.2807364 494.0722718 495.2009649 408.3288352 277.6265865 151.6111170 64.2229753 25.9723862 -1984 27.8052437 69.8536590 157.0103345 277.5438888 402.8870681 490.7627089 495.9979205 412.7262210 282.4393424 154.3490154 64.8065198 25.7527317 -1983 27.6622128 69.8535097 156.5386584 275.2878157 398.5044797 486.3989723 495.1597585 416.2012371 287.6060501 158.1135743 66.1778967 25.8124006 -1982 27.5143775 69.8634042 156.4456543 273.7498386 394.5537095 481.4001610 492.7213412 418.3443264 292.6458333 162.6718539 68.3133555 26.1612878 -1981 27.3455350 69.8360365 156.7566791 273.2523329 391.7923765 476.7236263 489.1562606 418.7270015 296.6069538 167.2529222 70.9110318 26.7506612 -1980 27.1581315 69.7418921 157.4482927 273.9119183 390.5980860 472.9742074 484.9484086 417.2947022 298.9244426 171.2498030 73.6864880 27.5348944 -1979 26.9732262 69.5734113 158.4272144 275.6534354 391.1013484 470.6095260 480.7087076 414.3467805 299.3222507 174.0816129 76.2465488 28.4185859 -1978 26.8130548 69.3358157 159.6065622 278.3970484 393.3880742 469.9638688 476.9188614 410.1976105 297.6766664 175.2864233 78.2048271 29.2880321 -1977 26.7036499 69.0589818 160.8738473 281.9701102 397.4319935 471.2760323 474.0228040 405.2410391 294.0360721 174.5279691 79.1724503 29.9943727 -1976 26.6799192 68.8174846 162.0863276 285.9058279 402.6416063 474.1781574 472.1627752 400.0665539 289.0306748 172.0858000 79.0832190 30.4487946 -1975 26.7554534 68.6626284 163.1481683 289.9341132 408.7825645 478.6380366 471.5090448 394.9494546 282.8994368 168.0311282 77.8449539 30.5659525 -1974 26.9516159 68.6594743 163.9491163 293.5650800 415.1642820 484.1585567 472.0317386 390.3033570 276.2576994 162.8710680 75.6675240 30.3614775 -1973 27.2844442 68.8496555 164.3891853 296.2947697 421.0075396 490.1578488 473.6768803 386.5420737 269.7371682 157.1794471 72.8635250 29.9091349 -1972 27.7656861 69.2434677 164.3994486 297.7243263 425.6177482 496.0929885 476.3865425 384.0065158 263.8552926 151.4550782 69.7526603 29.3147525 -1971 28.3958129 69.8186747 163.9673979 297.6201688 428.3902209 501.3430762 479.9696470 382.9492585 259.0996383 146.2105715 66.6930991 28.7128814 -1970 29.1783786 70.5567277 163.0636685 295.6540356 428.4570709 504.9865534 484.2093038 383.8785308 256.2411035 142.0960237 64.0577655 28.2302154 -1969 30.0854944 71.4020195 161.7895485 292.0464097 425.7429211 506.5347872 488.6941793 386.7758298 255.5259714 139.4065154 62.0577971 27.9473509 -1968 31.0870929 72.3199390 160.2794183 287.0673173 420.1767847 505.3076309 492.7599554 391.5943852 257.3628343 138.5823203 60.9450807 27.9375325 -1967 32.1462267 73.2888118 158.6859289 281.1023799 411.9918982 500.8700653 495.6616332 398.0738727 262.0090982 139.9607944 60.8898539 28.2312431 -1966 33.2024725 74.2772335 157.2653726 274.9441969 402.2168345 493.4816030 496.5119718 405.1909573 269.0547510 143.5758923 61.9834409 28.8387568 -1965 34.2068799 75.2716975 156.2043368 269.1894659 391.8013960 483.6949436 494.7477164 411.9088263 277.9323668 149.3709226 64.2819757 29.7566541 -1964 35.1045267 76.2497347 155.6775524 264.3993071 381.7264905 472.3332346 490.0790842 417.0648966 287.7710411 157.1660824 67.8614839 30.9987261 -1963 35.8337969 77.1462329 155.7835261 261.1297370 373.2547853 460.9989205 483.1157582 419.5926262 296.9380937 166.0047885 72.4686207 32.5174707 -1962 36.3503822 77.8969531 156.5567436 259.6405773 367.0160537 450.6880565 474.5676940 419.0902537 304.2993209 175.1029746 77.9298775 34.3118889 -1961 36.6263172 78.4114284 157.9006226 260.0050002 363.5080970 442.5081083 465.7000968 415.8444897 308.8314438 183.1967353 83.6672189 36.2800711 -1960 36.6448272 78.5983221 159.7109703 262.2831618 363.1023853 437.2548099 457.5658135 410.3965254 309.9442504 189.1162523 88.9788325 38.2754302 -1959 36.4239284 78.4124242 161.7912505 266.2553296 365.7281853 435.2290340 450.9860115 403.6705966 307.8222258 192.1428573 93.1206289 40.0680240 -1958 35.9944139 77.8640048 163.9321120 271.5923765 371.1177832 436.4165341 446.4183771 396.5004592 303.0388627 192.0630564 95.5038286 41.3899655 -1957 35.3827655 77.0101940 165.9397058 277.9548010 379.0272712 440.7856030 444.1294431 389.4577871 296.1361109 188.9028669 95.7031253 41.9631951 -1956 34.6298320 75.9697513 167.6435510 284.8110891 388.8201622 447.8361766 443.9890116 382.9605843 287.9046151 183.2835444 93.8108178 41.6720662 -1955 33.7837388 74.8780251 168.8812473 291.5101063 399.6943405 456.9933374 445.8495242 377.3614119 279.0690267 175.9238457 90.1498881 40.5272131 -1954 32.8964004 73.8380269 169.5726234 297.5489955 410.9874932 467.7760636 449.5091353 372.7665980 270.0558756 167.4254554 85.1707991 38.6789341 -1953 32.0449520 72.9430689 169.6223756 302.2092807 421.5733830 479.3317792 454.7503639 369.5233249 261.5792245 158.6218875 79.5078779 36.3945024 -1952 31.2954926 72.2327080 168.9904444 304.9631119 430.4755890 490.9114560 461.4365555 367.9435170 254.1806581 150.1402534 73.6896891 33.9398998 -1951 30.6967310 71.7073471 167.7034244 305.5140508 436.8618508 501.7370151 469.3834652 368.3054364 248.3366963 142.5078993 68.1625759 31.5526018 -1950 30.2792306 71.3554786 165.8066968 303.6543956 439.8765778 510.8646697 478.3827987 371.0352836 244.6515500 136.2481656 63.2850450 29.4057242 -1949 30.0412219 71.1503115 163.4396292 299.4976988 438.9369069 517.1890652 487.9038661 376.4359832 243.7578370 131.9053685 59.3801846 27.6262948 -1948 29.9525361 71.0576283 160.8088442 293.6063070 434.3392117 520.2006456 497.3003727 384.3288859 245.7655664 129.5972988 56.5047306 26.2294577 -1947 29.9803689 71.0758035 158.1443828 286.4901774 426.2285534 518.9695764 505.4365151 394.5234869 251.1983678 129.8458098 54.8904189 25.2540668 -1946 30.0690233 71.1894170 155.7209015 279.0443218 415.7962409 513.6724322 511.1819798 405.9685057 259.7324283 132.6761589 54.5531131 24.6682593 -1945 30.1705384 71.3960391 153.7646037 272.0046712 404.2246791 504.8391605 513.5659203 417.3696687 270.8602786 138.1317648 55.5595162 24.4554223 -1944 30.2296982 71.6729142 152.4686998 266.0752642 392.8718014 493.6307923 512.0965109 427.1126114 283.4915614 145.9903487 57.9501227 24.6069135 -1943 30.2059180 71.9850305 151.9169202 261.6626422 382.7422028 481.3624878 507.0137869 433.9443144 296.3117567 155.8025762 61.7296415 25.1299128 -1942 30.0576671 72.2518107 152.1358271 259.1612272 374.9324605 469.7690487 499.3484950 436.9324484 307.4344133 166.4330195 66.6590315 26.0155995 -1941 29.7797975 72.4055622 153.0481895 258.5731892 369.7478290 459.7733639 490.2406988 436.1726154 315.7634861 176.8881475 72.4810930 27.2785655 -1940 29.3823772 72.3616984 154.5379059 259.9100496 367.5334539 452.3066913 480.9904693 432.1845991 320.3644687 185.8088836 78.6035013 28.8679849 -1939 28.9107860 72.0699504 156.4260128 263.0117478 368.3405923 447.9064609 472.7198784 425.9361328 321.0137958 192.0212068 84.2149716 30.6400986 -1938 28.4229254 71.5352631 158.5470619 267.6207270 371.9201762 446.5423732 465.9505852 418.3610804 318.1969912 195.0666457 88.6665695 32.4141081 -1937 27.9789118 70.8204839 160.7082374 273.3736456 377.9355237 448.1088062 461.0664493 410.3132623 312.6029433 194.7987822 91.3356688 33.9139868 -1936 27.6108811 70.0221760 162.7644919 279.9387721 386.0759687 452.4292957 458.1721795 402.2982770 304.8697497 191.4100145 91.8775732 34.8782199 -1935 27.3422598 69.2768392 164.5840302 286.7733714 395.6117230 458.8629608 457.0346098 394.7327521 295.9008427 185.6829485 90.4675473 35.1912329 -1934 27.1783930 68.6950943 166.0610059 293.3744662 405.9138678 466.9391324 457.4967077 387.8664082 286.3013992 178.2697423 87.3973459 34.8286886 -1933 27.1274174 68.3540344 167.1087284 299.2313877 416.3005847 476.1695009 459.4041002 381.8902602 276.5744976 169.8106145 83.0995540 33.8871303 -1932 27.2089676 68.2917082 167.6580511 303.7610438 425.7930341 485.7433869 462.4868866 377.0836516 267.4091231 161.1607514 78.2240200 32.6007365 -1931 27.4417699 68.5011287 167.6456978 306.5115494 433.6072127 495.1050472 466.6998802 373.7427444 259.2666707 152.8473520 73.2087357 31.1644651 -1930 27.8347491 68.9359229 167.0619767 307.2375860 439.1037816 503.6920496 471.9427318 372.1050410 252.5376143 145.3181730 68.4389446 29.7659643 -1929 28.3925168 69.5481160 165.9217271 305.6887599 441.3800752 510.5089192 477.9534843 372.6164834 247.9438254 139.2414563 64.3609746 28.5907380 -1928 29.0934287 70.2720042 164.3085345 302.0629535 440.2984006 515.1068211 484.5186251 375.3905460 245.6893787 134.7823534 61.0912965 27.6970499 -1927 29.9046853 71.0578813 162.3719996 296.6962840 435.7793149 516.7544297 491.0483685 380.4648758 246.1561845 132.2979538 58.8262300 27.1449615 -1926 30.7837145 71.8739716 160.3044161 290.1232740 428.1720904 514.9705040 496.7652277 387.5831024 249.5352057 132.0231455 57.6722489 26.9467834 -1925 31.6850188 72.7054698 158.3160527 282.9959675 418.2317099 509.6868688 500.8061785 396.1177191 255.7384108 134.0566633 57.6706574 27.0860089 -1924 32.5500658 73.5314392 156.6450784 276.1452746 407.2660821 501.5594931 502.4037592 404.8669397 264.0909637 138.2109152 58.7807984 27.5257250 -1923 33.3438322 74.3598171 155.4365492 269.9918023 395.9993683 491.0266237 501.0048349 412.9063384 274.2007395 144.5602090 61.1020340 28.2683348 -1922 34.0083565 75.1461994 154.8257105 265.1815117 385.8471478 479.6676322 496.8152183 418.8704580 284.5710295 152.3723871 64.4433899 29.2614061 -1921 34.5114722 75.8550115 154.8328120 261.9221751 377.4491290 468.5376328 490.4126582 422.1521356 294.1371290 161.0522464 68.6750319 30.4858137 -1920 34.8233475 76.4283818 155.4374197 260.3552293 371.3215917 458.6373911 482.6602337 422.5237191 301.8358510 169.7713497 73.5480049 31.9127248 -1919 34.9319950 76.7976810 156.5316048 260.4732144 367.8061140 450.8929190 474.7189813 420.3162349 306.8139139 177.4354961 78.5517611 33.4508012 -1918 34.8438773 76.9130525 157.9889641 262.1555522 366.9360660 445.7295478 467.4403835 416.1629948 308.8215527 183.2525204 83.1799420 34.9941481 -1917 34.5877006 76.7607183 159.6528211 265.1360477 368.4591468 443.1684377 461.3726830 410.8501088 308.1509954 186.8296275 86.9801804 36.4115790 -1916 34.1942162 76.3496977 161.3526578 269.1494619 372.2010445 443.3109946 457.0157309 405.0719522 305.1265091 187.8273090 89.4267131 37.4997512 -1915 33.6995063 75.7345600 162.9572284 273.8606655 377.7441980 445.8388398 454.4087526 399.3289697 300.3693021 186.4790459 90.3566385 38.1290693 -1914 33.1438526 75.0006709 164.3394880 278.8287147 384.4855296 450.2467634 453.4403805 394.0448849 294.5952128 183.2928116 89.8425380 38.2336654 -1913 32.5523196 74.2199206 165.4139432 283.7376001 392.0497789 456.2748898 454.0571474 389.4170069 288.1819378 178.5976879 87.9742890 37.7796048 -1912 31.9640349 73.4755265 166.1134806 288.1380224 399.7153154 463.2679622 455.9845756 385.6759951 281.7479904 173.0739624 85.1497894 36.8681225 -1911 31.4058339 72.8126845 166.4263767 291.7554489 406.9695606 470.7274207 458.9675803 382.8966199 275.6640091 167.2242598 81.7457420 35.6367142 -1910 30.9088323 72.2671460 166.3214684 294.2732919 413.2435079 478.1755501 462.8797102 381.2741704 270.3076987 161.4648031 78.0666912 34.2102665 -1909 30.4858780 71.8354743 165.8606713 295.6578153 418.2332972 485.1723107 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30.8141992 72.9465245 161.0595268 276.8987975 389.1466748 463.4645749 469.4924152 403.6923640 293.4048449 174.2496197 80.3116576 32.8843260 -1887 31.0180884 73.0692343 161.9495554 278.6711785 390.5529075 462.8886061 466.7501049 400.5477858 291.7748665 174.5962556 81.5105345 33.6712119 -1886 31.2017735 73.1412229 162.8862792 280.8773974 392.8395226 463.2639663 464.4405526 397.0526243 289.2670963 174.0716850 82.2411658 34.3436139 -1885 31.3486659 73.1472971 163.8805348 283.6063887 396.1595955 464.7085570 462.5766827 393.1479579 285.8054911 172.6026682 82.4433234 34.8686959 -1884 31.4657757 73.1107069 164.8117812 286.6036473 400.3429993 467.3225039 461.4967206 389.1894493 281.5458603 170.0929000 81.9192317 35.1373378 -1883 31.5485389 73.0412028 165.6232570 289.7606430 405.3532491 471.1927250 461.3406555 385.2916941 276.5384142 166.5162186 80.5940067 35.0939943 -1882 31.6066414 72.9686670 166.2192668 292.7520401 410.7896013 476.1025512 462.1923144 381.7560973 271.1311394 162.1133741 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71.3440942 34.4060350 92 37.0855915 78.0717132 159.8224094 271.4567272 387.4520709 469.3887517 476.3797141 401.0131947 279.2670106 158.0595629 72.6263997 34.6630272 93 37.0163686 78.1108233 159.5863049 269.8343342 383.8757415 465.3075118 474.8023193 403.2577098 283.5641172 161.6341475 74.2133681 34.9229696 94 36.7569584 77.9943464 159.5402026 268.9004058 381.2210835 461.7533784 472.9287711 404.7672802 287.3933434 165.1948253 75.9006556 35.1324950 95 36.3062702 77.7093393 159.6895268 268.7315059 379.6703983 458.9783359 470.9191104 405.4526463 290.4820865 168.5050674 77.5961167 35.2809010 96 35.6772695 77.2491892 160.0049074 269.3346250 379.3462015 457.2430812 469.0357728 405.3506875 292.5950114 171.2641434 79.1382672 35.3397650 97 34.8977985 76.6238337 160.4139609 270.5688555 380.1436847 456.6161995 467.5351962 404.7009536 293.7473933 173.3035697 80.3811433 35.2751946 98 33.9954060 75.8460000 160.8725008 272.3637494 382.0383833 457.1783297 466.5858557 403.6351967 293.9090328 174.4620268 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267.2228200 144.5436251 60.8622733 23.9215935 113 25.7124793 67.5620728 158.2826916 287.4327374 421.3170478 508.4638696 500.5843204 403.2545222 268.3379695 144.0712463 60.0844933 23.6922429 114 26.1193561 67.9905857 157.5243415 284.6934409 417.7331644 506.7646276 502.2404821 406.4084045 270.4625532 144.5106345 59.8162833 23.6691009 115 26.6313437 68.5292014 156.8024109 281.6127537 413.1416027 503.6799040 503.1050735 409.8773262 273.5491290 145.8474742 60.0463626 23.8422687 116 27.2186813 69.1526692 156.2182235 278.4769995 407.8561305 499.2226160 502.8004120 413.2636305 277.4848756 148.1917032 60.8916381 24.2427549 117 27.8680601 69.8494789 155.8022690 275.4268702 402.1419350 493.6167992 501.2818829 416.3267352 282.0667636 151.4627256 62.3355426 24.8631206 118 28.5601793 70.6051226 155.5982707 272.6042010 396.2168520 487.0063490 498.4393581 418.8053457 287.1382988 155.6700502 64.4290974 25.7149791 119 29.2608400 71.3801235 155.6884968 270.3599998 390.7037275 479.9755592 494.3144916 420.1562309 292.0680791 160.4881194 67.1116153 26.7946997 120 29.9569791 72.1576102 156.0803339 268.7619520 385.7780478 472.7935351 489.0696214 420.2579514 296.5893050 165.7480832 70.3505301 28.1025616 121 30.6287873 72.9011194 156.7734722 267.9609885 381.8395026 466.0446511 483.1088680 418.9748324 300.1578012 170.9558077 73.9411766 29.5992388 122 31.2509268 73.5671056 157.7900496 268.1434364 379.2597051 460.1923773 476.7361329 416.1910777 302.3088025 175.6709974 77.7059024 31.2572075 123 31.8198451 74.1306432 159.0646991 269.2768546 378.1565844 455.5959267 470.4491313 412.1767085 302.8416333 179.4339311 81.3327199 32.9939277 124 32.3280723 74.5680139 160.5257235 271.3232491 378.6330092 452.5628289 464.6935650 407.2400108 301.6639262 181.8361711 84.4754398 34.6955812 125 32.7616031 74.8571020 162.1225278 274.3007556 380.8450153 451.3662096 459.7846606 401.5931814 298.7135486 182.5493551 86.8104935 36.2364355 126 33.1253206 75.0169333 163.7312258 277.9537796 384.5584244 451.9667250 455.9889538 395.7024993 294.3353122 181.5581161 88.1023995 37.4757918 127 33.4133675 75.0689686 165.2376573 282.0574258 389.6153683 454.3932993 453.5347458 389.9065916 288.7872072 178.8669340 88.1579993 38.2717887 128 33.6205227 75.0413092 166.5709278 286.3958781 395.7611707 458.4584782 452.3886269 384.3870481 282.3951513 174.7421284 87.0375077 38.5787031 129 33.7562828 74.9808215 167.5942630 290.5411621 402.5174371 463.9321778 452.6654999 379.5075408 275.5875477 169.4832779 84.8158899 38.3586966 130 33.8370278 74.9254559 168.2142326 294.0705409 409.2769314 470.3727053 454.2944588 375.5461807 268.8491304 163.5767186 81.7826049 37.6866969 131 33.8748475 74.8835054 168.3960299 296.7535862 415.6656170 477.4969391 457.1933052 372.5961076 262.4180871 157.3425528 78.1989705 36.6678333 132 33.9087825 74.8848098 168.0386726 298.0452911 420.7622546 484.6162417 461.3363547 371.1426410 256.9488256 151.3535980 74.4229948 35.4418160 133 33.9538545 74.9158581 167.1556472 297.8038482 424.1155836 491.2625306 466.5858154 371.3492135 252.7464434 145.9463866 70.7265825 34.1404762 134 34.0251238 74.9679139 165.7944339 295.9403924 425.2045844 496.7470266 472.6649310 373.4345079 250.2542386 141.5515255 67.4059020 32.8951640 135 34.1288982 75.0347410 164.0180217 292.4627229 423.6429188 500.4112826 479.2727399 377.6204413 249.8936543 138.5145427 64.6587265 31.7854962 136 34.2537386 75.1090859 161.9793843 287.6510935 419.3649240 501.5897382 485.7805946 383.8591042 252.0094201 137.1951285 62.6921500 30.8811194 137 34.3710719 75.1818982 159.8830871 282.0570614 412.8785986 500.0725028 491.4573696 391.6764772 256.5609746 137.7122612 61.5880637 30.2001063 138 34.4614608 75.2696843 157.9051547 276.0923225 404.5496684 495.5648771 495.4641238 400.5909595 263.6776570 140.3713512 61.5060648 29.7694231 139 34.4804777 75.3618252 156.2560857 270.4413942 395.4489239 488.6422936 497.1580911 409.4975141 272.7360343 145.0484456 62.4552893 29.5743971 140 34.3893129 75.4492073 155.1076596 265.6419360 386.4950542 479.9870074 496.1128325 417.2652622 282.9987188 151.6335371 64.5093992 29.6277027 141 34.1535872 75.5002115 154.5392563 262.0760701 378.5614247 470.6635228 492.5483884 422.9529397 293.3747493 159.6488194 67.6001833 29.9199950 142 33.7427311 75.4625015 154.5871491 260.0284877 372.3623296 461.7254048 487.0252630 425.9224042 302.6854144 168.4139138 71.6049746 30.4550423 143 33.1358834 75.2599372 155.2316772 259.7125685 368.5323329 454.2597118 480.4584572 425.9536681 309.7210807 176.9002353 76.2024157 31.2134294 144 32.3532418 74.8379113 156.3545931 261.0416482 367.1918964 448.8438289 473.7782923 423.5131208 313.9454917 184.2122060 80.9675656 32.1520582 145 31.4279258 74.1497061 157.8232049 263.9348873 368.4648062 445.9721151 467.8249448 419.2079465 315.0728842 189.4452084 85.3031514 33.1632715 146 30.4090987 73.1834807 159.5090325 268.2919865 372.3976193 445.9252615 463.1659907 413.6288071 313.1402143 191.9580445 88.5971690 34.0912910 147 29.3749069 72.0123364 161.2164228 273.6732112 378.5010781 448.4437599 460.0877433 407.5807106 308.8552036 191.7559319 90.4300163 34.7487987 148 28.3708215 70.7170245 162.8380770 279.8504157 386.5884051 453.4420398 458.6780895 401.3989417 302.6074978 188.8966974 90.5223217 34.9608396 149 27.4451432 69.4256507 164.2519886 286.3908042 396.1542465 460.5531607 458.8777919 395.4366461 294.9951092 183.7975296 88.8722272 34.6160995 150 26.6373010 68.2684807 165.3655783 292.7794232 406.4897881 469.1903894 460.4655774 389.9643936 286.6716372 177.1275806 85.7851569 33.7320255 151 25.9764939 67.3417596 166.1082931 298.5508991 416.9689214 478.9046923 463.3093666 385.1697874 278.0820833 169.4133242 81.5956609 32.3876679 152 25.4896789 66.6973746 166.4555634 303.3300240 426.9749731 489.1862737 467.1932375 381.1475366 269.6053007 161.2001951 76.7500091 30.7546223 153 25.2160045 66.3803726 166.3224519 306.4755208 435.4116499 499.2015868 472.0126484 378.3714893 261.9737459 153.2164282 71.7522371 29.0289957 154 25.1634082 66.3575873 165.7314198 307.8617999 441.8661522 508.5621888 477.6517703 376.9195700 255.3881633 145.7669000 66.9099023 27.3693706 155 25.3422071 66.6002738 164.6870522 307.2422986 445.5761728 516.4861559 483.9355723 377.1516610 250.4085854 139.3784197 62.5855008 25.9285958 156 25.7451927 67.0647953 163.2267102 304.5637354 446.0130199 522.2590535 490.6575032 379.3854784 247.5111693 134.4429585 59.0151420 24.7980462 157 26.3439768 67.6954382 161.4626988 300.1032780 443.1172984 525.3288219 497.4055205 383.6623511 246.9613759 131.2067281 56.3421879 24.0251451 158 27.0991685 68.4463809 159.5569073 294.3256493 437.1461176 525.2325884 503.5285020 389.7915973 248.9347587 129.8881672 54.6803196 23.6321580 159 27.9793313 69.3027070 157.6376893 287.5884630 428.3333160 521.5339034 508.3325194 397.6063827 253.7087936 130.7603124 54.1258929 23.6182765 160 28.9266113 70.2289449 155.9324575 280.6937328 417.8221300 514.6085343 510.9748801 406.1063168 260.8293039 133.7498700 54.6808155 23.9617521 161 29.9008329 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73.2745647 156.3605137 278.8264260 416.2620391 514.3765204 509.1248446 400.0814266 253.0127525 128.8930874 54.4756911 26.5779763 992 33.7771847 74.3090438 154.1348965 269.7583060 401.2755000 502.6668867 511.0186081 412.4688366 264.8115000 134.6334628 56.0168419 27.2229018 993 34.8873372 75.4187458 152.5653267 261.6355013 385.8359339 487.2814848 508.1532810 423.8197248 279.5369782 143.7379463 59.2602843 28.2764974 994 35.8813487 76.5844603 151.8483155 255.1905754 371.5858246 470.1341451 500.5155079 431.9992413 295.3911093 155.7567486 64.2600002 29.7380873 995 36.6827814 77.7412628 152.1227301 251.0020711 359.8860286 453.2479866 488.9919877 435.3389401 310.0487714 169.7751901 71.0446125 31.6511672 996 37.2263764 78.7750302 153.3931387 249.3505892 351.5905423 438.3606516 475.2730397 433.3949370 321.2744803 184.2753281 79.4002033 34.0680541 997 37.4718377 79.5217666 155.5255905 250.3059599 347.2323667 426.9043400 461.4561614 426.9849115 327.4283909 197.1169339 88.5647290 36.9597918 998 37.4151813 79.8096756 158.3267597 253.8580526 347.1154945 419.7910531 449.2601758 417.5541974 327.9414586 206.2500611 97.3143218 40.1636072 999 37.1105562 79.5433651 161.5228443 259.7252161 351.0209798 417.1184564 439.6355240 406.7470097 323.6115251 210.6672048 104.3696787 43.3500227 1000 36.6032370 78.7012736 164.8189915 267.6554059 358.8965533 419.0704068 433.2411221 395.7960564 315.3921708 209.8550028 108.3784466 45.9246714 1001 35.9359734 77.4238664 167.9061665 277.0627962 370.1564701 425.1837258 430.0656970 385.5534097 304.6720755 204.4980140 108.7804159 47.3199491 1002 35.1085647 75.9086299 170.6034835 287.4300912 384.2527131 434.8995725 429.6872554 376.1934493 292.3885741 195.6353949 105.7827883 47.2417988 1003 34.1320310 74.3992502 172.6717952 297.8599281 400.2749794 447.6252064 431.8746722 367.9866866 279.3733085 184.3062935 99.9050749 45.6131254 1004 33.0648836 73.0714460 174.0148174 307.5389987 417.1866473 462.5307222 436.0963100 360.8730797 266.2247417 171.6522678 92.1848822 42.8139925 1005 32.0148339 72.0428459 174.4815584 315.4108109 433.5939293 478.7619398 442.1605719 355.1377990 253.6229418 158.6663653 83.5792127 39.3237375 1006 31.0992826 71.3374571 173.9773895 320.5959277 448.1228813 495.5199350 450.0326562 351.1335164 242.1450771 146.1345975 74.9051007 35.6363160 1007 30.4226596 70.9340243 172.4059349 322.2093843 459.0870398 511.7874429 459.9047958 349.5922539 232.5915518 134.8199666 66.8235494 32.1519239 1008 30.0266361 70.7477544 169.8313256 319.9333512 465.0806150 526.3035173 471.7661061 351.2094180 225.7446500 125.3979925 59.8520619 29.1592107 1009 29.9094376 70.7063527 166.3429717 313.6978115 464.8914826 537.6586796 485.6529806 356.9237988 222.4528200 118.3459477 54.2128151 26.7544900 1010 30.0207633 70.7457652 162.2560859 304.1881812 458.0685402 544.0030695 500.6715663 367.2986401 223.5957704 114.2136504 50.1190474 24.9806986 1011 30.2874978 70.8483876 157.9757764 292.5398599 445.1706885 543.7381483 515.1414664 382.3473724 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