# 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 : -45 # 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 451.9257027 409.0754000 341.5937859 258.3889477 178.5271714 131.2989098 140.0221142 204.8650004 298.4937299 384.7984404 442.2099269 464.3839256 -6011 451.5654287 403.2593472 334.0602031 253.3699303 177.4553899 131.3194550 137.8791747 202.0863263 300.1087820 392.3024128 451.6467075 470.3798341 -6010 455.0552024 400.9665381 328.7090408 248.8530648 175.8427690 130.7158307 134.6079151 196.2168539 297.2545697 396.7663072 461.1620545 479.0895567 -6009 462.1054681 402.2687852 325.8736936 245.2909310 173.9925767 129.6742099 130.8626452 188.3550792 290.2151090 397.2224101 469.4846466 489.6999370 -6008 472.3731663 407.2668277 325.8511239 243.0572173 172.2065690 128.3697525 127.1173565 179.6205854 279.7399937 392.9570747 475.1313130 501.1449742 -6007 485.1259373 415.8066190 328.7570092 242.3961729 170.7574489 126.9948149 123.7146230 171.0731485 267.1793654 384.0594944 476.7642514 511.9835718 -6006 498.6142378 426.9544243 334.2961874 243.3944520 169.9069259 125.8099582 121.0207847 163.8347475 254.6337071 371.9982500 473.7153283 520.2149120 -6005 511.3712666 439.8652241 342.1431005 245.9941372 169.7421946 124.9372544 119.1284502 158.2985945 243.4050225 358.4174921 466.2948854 524.5818064 -6004 521.5119565 453.0293919 351.5475884 249.9560564 170.2893366 124.5032801 118.1696461 154.7988352 234.6677984 345.3656545 455.8062592 524.3268855 -6003 527.6208483 464.7432346 361.4524105 254.8398202 171.4584645 124.5637219 118.1979928 153.4159853 229.0177347 334.5004349 444.1611614 519.8070154 -6002 529.1280870 473.6460547 370.8441491 260.1856863 173.1154543 125.1240516 119.2248236 154.0902447 226.5440093 326.6584358 432.9683694 512.0649772 -6001 526.4277597 478.8052081 378.6248390 265.3809111 175.0472089 126.1251633 121.1525356 156.5682132 226.9661113 322.1068752 423.5351301 502.7098972 -6000 520.0051141 479.5943870 383.8741716 269.9288995 177.1212372 127.5507743 123.9716783 160.7953774 230.1821865 320.9242024 416.5209364 492.8347034 -5999 511.2558197 476.5188693 386.2375100 273.4098326 179.1384083 129.2554754 127.4234125 166.3044886 235.5273703 322.5338425 412.0291264 483.5583669 -5998 501.2159703 470.2187557 385.6314176 275.5505334 180.9616748 131.1077913 131.2632130 172.7303986 242.5414439 326.4921958 409.9452424 475.4481870 -5997 490.7930163 461.5471766 382.2851513 276.2076945 182.4611262 132.9352943 135.1637292 179.6300767 250.7440543 332.3623153 410.0671761 468.8423032 -5996 480.9471923 451.6799980 376.8437574 275.4223942 183.4993187 134.5058021 138.6670652 186.3496589 259.4350916 339.5466900 412.0919643 464.0102746 -5995 472.4011712 441.6255948 370.0115898 273.3330963 183.9608402 135.6026010 141.3179271 192.2228586 267.9563974 347.5667617 415.8183758 461.1589722 -5994 465.5436704 432.1158569 362.4764408 270.1973611 183.8004136 136.0977951 142.8147704 196.7446500 275.7902722 356.0431791 421.0405110 460.3149579 -5993 461.0157154 424.0873376 355.0839224 266.3690247 182.9734312 135.8652153 142.8464610 199.2202483 282.0646067 364.3017315 427.4936315 461.6770195 -5992 459.0766266 418.0475916 348.4306383 262.2120507 181.5332746 134.9206362 141.4036373 199.3297544 286.1740150 371.7821341 434.8794523 465.2363701 -5991 459.7072844 414.2574747 342.9773083 258.1195573 179.6300244 133.3941408 138.7565398 197.1624118 287.7656874 377.8999870 442.6946012 470.7134950 -5990 463.0743259 413.0761166 339.1494743 254.4271180 177.4018156 131.3932378 135.1693316 192.8393500 286.4160237 381.8966388 450.3504723 477.9310909 -5989 468.7277443 414.3977517 337.1337285 251.4527076 175.0927898 129.1429442 131.1673332 187.1176408 282.4532065 383.3422238 457.0159115 486.1328804 -5988 476.1680292 417.9474842 336.8759919 249.3186516 172.8760301 126.8152861 127.1279864 180.7058613 276.4612733 382.1809445 462.1104969 494.6475658 -5987 484.7849536 423.5178528 338.4411278 248.2095572 170.9329211 124.5701551 123.3905275 174.3279708 269.1809709 378.4579386 464.9067558 502.5537612 -5986 493.7036257 430.4056040 341.4259120 248.0205022 169.3486273 122.5349359 120.1599446 168.5614115 261.6103044 372.9703134 465.4071894 509.1652469 -5985 501.9689935 437.9480929 345.5472667 248.7273311 168.2127801 120.8232886 117.6250278 163.9060377 254.6618272 366.5378265 463.6502522 513.7240322 -5984 508.9541401 445.4513814 350.3220660 250.1119922 167.5022193 119.4727372 115.7961875 160.4728184 248.8449701 360.0210115 460.2535149 516.1373865 -5983 514.0844502 452.2612842 355.3279472 252.0080296 167.2048573 118.5197875 114.7067408 158.3675630 244.5466376 354.1198424 455.7998532 516.3796626 -5982 516.9680872 457.6194699 359.9421568 254.1184233 167.2650497 117.9821623 114.3404122 157.5859138 242.0114289 349.5164324 451.1295688 514.8123953 -5981 517.8650685 461.4434812 363.9542487 256.2835655 167.6108384 117.8179218 114.5893788 157.8909204 240.9757171 346.2033550 446.6377921 511.9672943 -5980 516.8735387 463.3912146 366.9294518 258.2526018 168.1783691 118.0119776 115.3838583 159.1573735 241.3866055 344.3963068 442.8444527 508.3599920 -5979 514.3770543 463.5570675 368.7506925 259.9007951 168.9116137 118.5220653 116.6179746 161.1753823 242.9796776 343.9497142 439.9085367 504.4172787 -5978 510.9719997 462.3264073 369.4902590 261.1546749 169.7400233 119.2731990 118.1250351 163.6224646 245.3236929 344.5226984 437.8349671 500.5691879 -5977 507.0576534 459.9935826 369.2258687 261.9719294 170.6139706 120.2068770 119.7791990 166.2751560 248.1380150 345.8912771 436.6023302 497.0676972 -5976 502.9451524 456.8671686 368.1093308 262.3631880 171.4966764 121.2693245 121.4778439 168.9560189 251.1902299 347.8388022 436.1195946 494.0403743 -5975 499.1868309 453.5858183 366.5462920 262.4300142 172.3331923 122.3659068 123.0549347 171.3419972 254.0025803 349.8812133 436.1333680 491.6533324 -5974 495.8278020 450.2976194 364.6866867 262.2384995 173.1151050 123.4688493 124.4877903 173.4058233 256.5226783 351.9271685 436.5311670 489.8377616 -5973 493.0182206 447.2896286 362.7897720 261.9010994 173.8321120 124.5384576 125.7396541 175.0715493 258.5906522 353.7516419 437.1133130 488.5376486 -5972 490.9248159 444.8831698 361.1527155 261.5557319 174.4795546 125.5346266 126.7806088 176.2656039 260.0224766 355.0815683 437.6369143 487.6831456 -5971 489.3107315 442.9492360 359.7805674 261.2594111 175.0871407 126.4773736 127.6934711 177.1612573 261.0129281 356.0142136 438.0278883 487.0577840 -5970 488.0568575 441.4602945 358.7236657 261.0708936 175.6747092 127.3731706 128.5264847 177.8595243 261.6571394 356.5625373 438.1936121 486.5121174 -5969 487.0686585 440.4315583 358.0682423 261.0663345 176.2657588 128.2275474 129.3257201 178.4526520 262.0258223 356.6998415 438.0042766 485.8861735 -5968 486.0208045 439.4692082 357.5378440 261.1476139 176.8688975 129.0723838 130.1582488 179.1227863 262.4423687 356.7820218 437.6632676 485.1028590 -5967 484.7456675 438.4482402 357.0884336 261.3256451 177.5034594 129.9267326 131.0778220 179.9873323 263.0580496 356.9130991 437.1604241 484.0384845 -5966 483.2784829 437.2436537 356.5374726 261.4731413 178.1229700 130.7634503 132.0232837 180.9784753 263.8883540 357.2461535 436.7341562 482.8859627 -5965 481.4582007 435.6475379 355.7291275 261.5269275 178.7259306 131.5968265 133.0261589 182.1874439 265.1028058 357.9751432 436.5044620 481.6196018 -5964 479.4061415 433.5770366 354.4719024 261.3290512 179.2436628 132.3816793 133.9859642 183.4803659 266.6553665 359.2375329 436.7562284 480.5209159 -5963 477.4504550 431.3545177 352.9506705 260.9124866 179.6332635 133.0541656 134.7902536 184.6437900 268.2548515 360.7856142 437.4227617 479.7590933 -5962 475.6615238 428.8634835 350.9669627 260.1234584 179.8297976 133.5743513 135.3492756 185.5652817 269.8917583 362.7946915 438.7982162 479.5830412 -5961 474.4611425 426.5731768 348.8379448 259.0603390 179.7950662 133.8673004 135.5349445 185.9734682 271.1537405 364.8745591 440.7210589 480.1604475 -5960 474.1730947 424.7810063 346.7347109 257.7567660 179.4882096 133.8730450 135.2388462 185.6418300 271.7248123 366.7784619 443.1607810 481.6928217 -5959 474.9997753 423.7594663 344.8827961 256.3199477 178.9139831 133.5686488 134.4363549 184.4726630 271.3744039 368.2233513 445.9416574 484.2064837 -5958 477.1516902 423.8475150 343.5859059 254.9148438 178.1052083 132.9486254 133.1399906 182.4139564 269.8577418 368.8178391 448.7479800 487.6460902 -5957 480.8173642 425.4175458 343.1956456 253.7464271 177.1193218 132.0237906 131.3982694 179.4815489 266.9701511 368.1111693 451.1350759 491.8553612 -5956 485.7740258 428.4509954 343.8215627 252.9508445 176.0520495 130.8734494 129.3746882 175.9554563 262.9282123 366.0236200 452.7449930 496.4412295 -5955 491.7873512 433.0087775 345.6618351 252.7106367 175.0106573 129.5767718 127.2303446 172.1233042 257.9660474 362.4463459 453.1094164 500.8991000 -5954 498.4855134 439.0470904 348.8558880 253.1813612 174.0998162 128.2204214 125.1290515 168.3010152 252.4358270 357.4428766 451.8387091 504.6481898 -5953 505.0183532 445.9217001 353.1113649 254.3309940 173.4046725 126.9275335 123.2812307 164.9423098 247.0783228 351.6995340 449.0424194 507.1042927 -5952 510.7899559 453.2851798 358.3622613 256.2120024 172.9906979 125.7753974 121.8251613 162.3186034 242.3224153 345.6189046 444.7459075 507.8074079 -5951 515.0550816 460.3589994 364.1548011 258.6786334 172.8738887 124.8426560 120.8898172 160.6951589 238.6998979 339.9422755 439.4724720 506.5998614 -5950 517.1842772 466.2969008 369.9271181 261.5263298 173.0476905 124.1964077 120.5884415 160.2884113 236.6468584 335.3564069 433.8657738 503.5606528 -5949 516.8560583 470.3612588 375.0752157 264.4960829 173.4760317 123.8784707 120.9872691 161.2094678 236.4117341 332.3567238 428.5686753 499.0368870 -5948 514.2108216 472.2513865 379.2055338 267.3750045 174.1037641 123.8879903 122.0780045 163.4109147 237.9440281 331.0429993 423.9578500 493.5010540 -5947 509.2309748 471.2468989 381.4720077 269.7291747 174.8662114 124.2521441 123.8724139 166.9481726 241.4556804 331.8790362 420.7178747 487.5412455 -5946 502.6017915 467.7480536 381.8562561 271.4256146 175.6947009 124.9042185 126.2248990 171.5512103 246.5589767 334.5061969 418.8022175 481.6025454 -5945 494.7391562 461.8278687 380.0736957 272.2024485 176.5213824 125.7926623 128.9859946 177.0303932 253.1230199 338.9293184 418.4191445 476.1000764 -5944 486.2736182 453.9509492 376.1548419 271.8872470 177.2533306 126.8008787 131.8672615 182.9869445 260.7919648 344.9561594 419.6410873 471.4420519 -5943 477.8212361 444.8427631 370.4980157 270.4995513 177.8121425 127.7934290 134.5485630 188.9525451 269.0986387 352.2323500 422.3309898 467.8485137 -5942 470.0900664 435.2591794 363.5273270 268.0413886 178.0718301 128.5914954 136.5873206 194.2477342 277.4295588 360.4396107 426.5317813 465.7262933 -5941 463.5706772 425.8102002 355.6997547 264.6061551 177.9332953 129.0635355 137.6367543 198.2735696 285.2437351 369.3284592 432.2857257 465.3524383 -5940 458.9848377 417.4182650 347.7833782 260.4696113 177.2990048 129.0751524 137.3820805 200.2705744 291.6092293 378.2602917 439.4462822 467.0599499 -5939 456.9002906 410.7444922 340.3596841 255.8914887 176.1107532 128.5610766 135.6974525 199.6559252 295.6386768 386.6205986 447.9288554 471.1852828 -5938 457.6798974 406.2989656 333.9696024 251.2177549 174.4065107 127.5459844 132.7516773 196.2553925 296.5774792 393.6213166 457.3839750 477.8233234 -5937 461.8529427 404.7998899 329.2966174 246.8945777 172.2886698 126.0655564 128.8348217 190.1256919 293.5683094 397.9858514 467.0412640 486.9859167 -5936 469.5006820 406.5681393 326.7480401 243.2995587 169.9585969 124.2448106 124.4204976 181.9562979 286.5065675 398.6516554 475.8401587 498.2332789 -5935 480.3908414 411.7409588 326.6123011 240.7629643 167.6630045 122.2453794 119.9771140 172.7567720 275.9794127 394.8773107 482.4332173 510.6742468 -5934 494.0926894 420.5288029 329.2903954 239.6608610 165.6669904 120.2284437 115.8749873 163.5508418 263.0303620 386.2648782 485.1618867 522.9066489 -5933 509.3918334 432.4574371 334.7222754 240.1326435 164.1905292 118.3881402 112.4068076 155.3012961 249.3837356 373.7628970 483.0855518 533.1672285 -5932 524.6581357 446.8132066 342.7812179 242.2752477 163.4008385 116.8876693 109.7746105 148.6778506 236.6572342 358.9625314 475.9705025 539.6410393 -5931 537.9694994 462.4255724 353.0515180 246.0245517 163.3772555 115.8554601 108.1118653 144.0552352 226.1021960 343.8408576 464.6914469 541.0821224 -5930 547.4074409 477.6296201 364.7453658 251.1356398 164.1182914 115.3927895 107.5309909 141.6371621 218.5506443 330.2967024 451.0110257 537.2035101 -5929 551.5092757 490.3749154 376.6250978 257.1472996 165.5488967 115.5806898 108.1383546 141.5394033 214.4805951 319.8354074 437.1026062 528.8212801 -5928 550.0624144 499.3281669 387.6669715 263.6371052 167.5604292 116.4485257 109.9815171 143.6920675 213.7715527 312.8678872 424.3878983 517.3432396 -5927 543.3120089 503.0116097 396.3455141 269.9258226 170.0299343 118.0579609 113.1420326 148.1133553 216.4275402 309.7881409 414.1710875 504.4359334 -5926 532.4869503 501.2619553 401.7745801 275.4902344 172.8363592 120.4034395 117.5786298 154.5983271 222.0086536 310.1768024 406.7350388 491.4220207 -5925 518.7132354 494.2718293 403.2704063 279.8449628 175.8972016 123.4822416 123.2389837 162.9988158 230.2147683 313.6724246 402.0687200 479.0962293 -5924 503.3312879 483.0102798 400.7337301 282.6205001 179.0885521 127.1767841 129.8612509 172.9057025 240.4934001 319.6755870 399.8745818 467.9946674 -5923 487.2590937 468.4407917 394.3207163 283.5395469 182.2758034 131.3096701 137.0996934 183.9268900 252.4742826 327.8306202 399.9188737 458.3469642 -5922 471.6310508 452.1232869 384.8845795 282.5589420 185.2292688 135.5278678 144.3051939 195.2712169 265.4152268 337.5267604 401.8581650 450.4013542 -5921 457.1843949 435.1706140 373.1830914 279.6588601 187.6754887 139.4407135 150.7540298 206.1471781 278.8064198 348.5644149 405.7064752 444.4327799 -5920 444.8596272 418.8768749 360.2509179 274.9755750 189.2549301 142.5683687 155.5149007 215.3645799 291.8035043 360.6563443 411.6203176 440.9612592 -5919 435.5270725 404.4938095 347.3064043 268.9297352 189.6741874 144.5336309 157.8256818 221.6369539 303.2959179 373.3238559 419.6848594 440.4751238 -5918 429.9695804 392.9356238 335.2842435 261.9670301 188.7312783 145.1013065 157.2258084 223.7228801 311.9736014 386.0401257 430.1502078 443.6151606 -5917 428.9855133 385.1090993 325.1453364 254.7373307 186.4395011 144.2211381 153.7785131 220.7230425 316.1245302 397.6418646 442.8958339 450.9336281 -5916 433.1225897 381.7660624 317.7805114 248.0506683 183.1302258 142.0872335 148.2099192 212.7698838 314.1832953 406.1965617 456.9804664 462.4858044 -5915 442.7094405 383.3514911 313.6942115 242.5023052 179.2498465 138.9911318 141.4175603 200.9404624 305.4219797 409.5956720 470.9343621 477.9972329 -5914 457.4564650 390.0910561 313.3293123 238.6974386 175.3914976 135.3757492 134.4050453 187.2942873 290.7192333 405.9474277 482.1388532 496.0329370 -5913 476.6247603 402.0843795 317.0309920 237.0828243 172.0553829 131.6485497 127.8436560 173.7820775 272.2344439 394.5855411 487.6648611 514.3055499 -5912 498.2970779 418.6197720 324.6510471 237.7950882 169.5811610 128.1805576 122.1840728 161.9620720 253.1252918 377.2724702 485.6596954 529.7095384 -5911 519.8592597 438.5445754 335.8635095 240.8238789 168.1327586 125.2091593 117.6517453 152.6329773 235.9868772 357.0956544 476.0675584 539.2864705 -5910 538.0189180 459.8222872 349.8772950 245.9392247 167.7333618 122.8910954 114.4138352 146.1985315 222.6321401 337.6164198 460.9575010 541.1559651 -5909 550.2830272 479.8796639 365.2819262 252.5170930 168.1739147 121.2342321 112.4724443 142.5780156 213.6661308 321.4957775 443.8633926 535.9591198 -5908 555.0403786 495.9309673 380.3648048 259.8778929 169.2564636 120.2670237 111.9305278 141.8235765 209.3557438 310.2875969 427.8763894 525.5141953 -5907 552.8790890 506.3225493 393.5180380 267.2451610 170.7033015 119.9326684 112.7471336 143.6724685 209.1950343 304.0522320 414.8549199 512.5502378 -5906 545.0605673 509.9581252 403.0746131 273.7865445 172.3043590 120.2262231 114.9267254 147.9877522 212.8297268 302.5996559 405.7569993 499.2989072 -5905 533.3990429 507.1392462 408.1623010 278.9185777 173.9304008 121.1195078 118.3832015 154.5022150 219.6796267 305.1859817 400.4472807 487.0678179 -5904 519.5549376 499.0010938 408.6512171 282.3132690 175.5195144 122.5518107 122.9300070 162.8447132 229.0917260 310.9277648 398.3082058 476.3790290 -5903 504.7677081 486.7028463 404.6163442 283.6718381 177.0107413 124.3984417 128.2265732 172.5451885 240.5215468 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258.0535757 358.2473088 445.3153750 496.1168390 -2065 495.4419659 444.3965052 357.5826905 257.7550137 171.5602529 122.4983159 122.6121164 171.9775858 258.5738932 358.6856407 445.3886508 495.8473019 -2064 494.7866237 443.7083424 357.1652268 257.5896177 171.4460860 122.3557068 122.6041055 172.3519488 259.3557372 359.5317554 445.8296113 495.6517237 -2063 494.1504939 442.8192828 356.4799479 257.2768857 171.3581069 122.2997896 122.6076115 172.6451768 260.0870409 360.4882503 446.5224439 495.6784792 -2062 493.7207086 441.8971819 355.6129885 256.8271340 171.2772871 122.3063027 122.5676817 172.7349994 260.5947871 361.4130603 447.4401838 496.0371166 -2061 493.5797865 441.0600879 354.6589656 256.2799877 171.2022824 122.3655468 122.4729016 172.5825092 260.7924982 362.1961624 448.5055873 496.7293010 -2060 494.0157379 440.7326186 353.9608668 255.7846620 171.1341016 122.4427811 122.2872255 172.0686966 260.3901103 362.4358494 449.4112005 497.7351517 -2059 494.9868057 440.9429995 353.5825828 255.3921380 171.0893095 122.5449080 122.0453716 171.2544183 259.4202703 362.0883466 450.0525098 498.9532163 -2058 496.4000546 441.7327315 353.6350921 255.1930312 171.0995934 122.6848341 121.8067905 170.2526090 257.9608993 361.0963193 450.2438017 500.1843765 -2057 498.2284013 443.2470182 354.3112644 255.3125039 171.1986447 122.8672386 121.6166844 169.1445325 256.0287368 359.3162618 449.7237821 501.2158329 -2056 500.1783249 445.3053839 355.5712696 255.7863811 171.4258034 123.1255631 121.5610128 168.1283842 253.8908732 356.9214611 448.4359555 501.7898118 -2055 501.8771906 447.5940980 357.2650629 256.5976660 171.8133049 123.4993725 121.7250842 167.4113288 251.8785681 354.2170922 446.4559857 501.6870778 -2054 503.1645729 450.0861569 359.4632671 257.8184419 172.3893751 124.0013616 122.1548736 167.0925862 250.1071567 351.2459671 443.6858628 500.7097003 -2053 503.5843392 452.1847781 361.7375790 259.2820481 173.1524870 124.6728416 122.9163532 167.3582519 248.9829677 348.5625006 440.5406977 498.8415507 -2052 502.9502375 453.6483426 363.9279131 260.9334224 174.1004537 125.5264009 124.0412446 168.2875270 248.6587517 346.3744036 437.1858526 496.0817515 -2051 501.1609940 454.1691549 365.7385402 262.6205757 175.1984936 126.5605014 125.5229129 169.8990194 249.2526418 344.9426150 433.9436955 492.6145452 -2050 498.2594983 453.5592856 366.9186479 264.1876436 176.3952192 127.7524764 127.3201911 172.1497583 250.7878561 344.4262706 431.0939238 488.6927382 -2049 494.2579786 451.5297298 367.0976163 265.4098058 177.6284418 129.0816376 129.3886597 175.0167130 253.3569152 345.0859523 429.0058903 484.6099570 -2048 489.6602046 448.4759631 366.4099608 266.2451267 178.8165663 130.4530251 131.5637644 178.2199588 256.6025608 346.6351274 427.6540354 480.6823850 -2047 484.5900415 444.2661042 364.5775718 266.4758603 179.8756138 131.8111736 133.7351719 181.6514552 260.5428605 349.2745359 427.3631544 477.2158821 -2046 479.5871268 439.3886196 361.8182152 266.0784043 180.7064041 133.0306912 135.6762966 184.9499948 264.7708252 352.7134992 428.1128896 474.5258442 -2045 475.0588666 434.2709909 358.3789975 265.0797444 181.2361846 134.0090549 137.2008137 187.8108417 268.9419813 356.7006147 429.8544912 472.8177777 -2044 471.3967678 429.2775904 354.4555159 263.4825047 181.3820958 134.6395546 138.1063779 189.8956021 272.7031248 361.0422228 432.6372802 472.3608509 -2043 468.9819226 424.8947565 350.4300663 261.4289139 181.1086930 134.8441153 138.2554346 190.9028757 275.6234337 365.3605491 436.3034867 473.2857384 -2042 468.1807396 421.6482216 346.7634915 259.1404764 180.4216359 134.5766522 137.5804135 190.5907311 277.2312526 369.1454468 440.5573900 475.6423662 -2041 469.1710620 419.7955200 343.7029783 256.7638176 179.3496142 133.8393427 136.1013052 188.8785073 277.2530529 372.0596622 445.1985877 479.4435889 -2040 472.0021870 419.6170865 341.6032795 254.5610931 177.9966474 132.6941102 133.9706958 185.8958293 275.5275518 373.6345500 449.7278119 484.4258641 -2039 476.7231684 421.4130520 340.8213842 252.7941780 176.4796884 131.2120737 131.3574742 181.8374318 271.9591527 373.3691714 453.5413469 490.2557668 -2038 482.9048666 424.9730829 341.3496756 251.5786286 174.9331347 129.5270810 128.5246058 177.1805697 266.9936566 371.3030039 456.2404410 496.3842919 -2037 490.1835524 430.2654018 343.3388142 251.0949374 173.4905770 127.7520264 125.6916394 172.3395966 261.0233081 367.3943407 457.2876355 502.1699847 -2036 497.8384586 436.8947712 346.6993439 251.4201991 172.2759122 126.0213803 123.0978837 167.8219662 254.7513619 362.0628368 456.4252403 506.8657164 -2035 505.1912733 444.3428147 351.1757457 252.4986617 171.3404583 124.4228754 120.8792378 163.9499531 248.7834395 355.9286873 453.7982641 510.0183378 -2034 511.2966344 451.8043458 356.3649589 254.2443489 170.7466841 123.0700556 119.2210446 161.1226278 243.8545680 349.8350623 449.7647572 511.1564317 -2033 515.7737932 458.8221943 361.9758585 256.5369102 170.4759410 121.9884649 118.1514900 159.3950942 240.1821335 344.2386400 444.7722246 510.3247953 -2032 517.9111477 464.3299342 367.2318549 259.0644925 170.5081041 121.2521280 117.7744794 158.9889016 238.2900339 340.0233993 439.6917734 507.7165244 -2031 517.7916196 468.0195618 371.7746718 261.6291635 170.7861852 120.8532572 118.0537928 159.8042850 238.0952960 337.3305403 434.9774914 503.8086363 -2030 515.4419472 469.4894696 375.1492200 264.0022200 171.2718460 120.8070321 118.9909767 161.8295898 239.6338782 336.3658579 431.0551284 499.0197849 -2029 511.2387934 468.5414346 376.8731826 265.8605865 171.8801553 121.0812120 120.4699597 164.8664104 242.7485754 337.2146309 428.3839439 494.0113546 -2028 505.6501770 465.4335206 376.9139526 267.1039726 172.5721412 121.6372143 122.3821044 168.7153134 247.1708496 339.6415072 426.9483071 489.1010201 -2027 499.2633583 460.5648069 375.3063027 267.6150360 173.2795007 122.3976994 124.5281613 173.0464093 252.5303791 343.3844173 426.7658197 484.6758097 -2026 492.5694377 454.2741266 372.0699768 267.2625936 173.9266291 123.2761633 126.6752642 177.5089334 258.5124229 348.3011865 427.9407774 481.0965721 -2025 486.1505673 447.3075850 367.6975795 266.1602956 174.4568898 124.1665813 128.5885551 181.6874756 264.5995130 353.9175023 430.2175392 478.5065947 -2024 480.5395951 440.2621616 362.5645326 264.3652683 174.7886712 124.9550437 130.0062259 185.1161623 270.2814258 359.8891775 433.5376024 477.1696082 -2023 476.1265747 433.6380434 357.0593597 261.9920985 174.8603245 125.5549788 130.7470895 187.4205553 275.1077588 365.8950371 437.8152473 477.2520113 -2022 473.3291933 428.0671246 351.7519936 259.2911197 174.6422754 125.8997072 130.7183544 188.2800567 278.5188591 371.3820555 442.7467336 478.8150300 -2021 472.4769963 424.0538443 347.1237864 256.5104761 174.1317650 125.9508592 129.9204149 187.5126181 280.0309405 375.7949590 448.0030025 481.8803097 -2020 473.5944151 421.7592367 343.4146841 253.8387250 173.3763847 125.7336654 128.4961548 185.2364892 279.5002498 378.7903881 453.2773021 486.3062226 -2019 476.7860294 421.6015287 341.1192913 251.6203328 172.4791640 125.2831178 126.6486592 181.6853241 276.7427623 379.6957095 457.8408418 491.7302418 -2018 481.7366194 423.5099888 340.3483415 250.0373431 171.5680186 124.6888773 124.6388462 177.3590855 272.1154425 378.3527734 461.1568072 497.6146631 -2017 488.0250664 427.3388237 341.1532481 249.2313684 170.7679535 124.0419898 122.6891293 172.7648883 266.1402701 374.7988495 462.7300345 503.3302729 -2016 494.9340057 432.7698269 343.5343661 249.3480415 170.2280353 123.4636220 121.0465480 168.4951207 259.5941414 369.3629484 462.1030974 508.0018523 -2015 501.7489920 439.3213693 347.2884272 250.3750703 170.0238332 123.0379183 119.8390111 164.9207291 253.1815182 362.6752892 459.2903136 511.0400012 -2014 507.4387318 446.0804555 351.9137968 252.1752359 170.2127824 122.8723786 119.2202221 162.4444160 247.7656444 355.7737347 454.7536143 511.9502780 -2013 511.4755741 452.5181234 357.1100515 254.6453689 170.7965217 123.0041272 119.2272730 161.1617396 243.6762957 349.2457012 448.9506149 510.6445547 -2012 513.1588764 457.6360482 362.1645095 257.4945535 171.7504007 123.4946290 119.9347318 161.2421348 241.3978388 343.9795306 442.7581536 507.2941111 -2011 512.5160794 460.9254399 366.5159513 260.4015906 172.9750215 124.3193388 121.2670750 162.5388135 240.8872280 340.3276087 436.9329983 502.5554122 -2010 509.5439792 461.9827930 369.7318031 263.1474310 174.4228502 125.4844318 123.2278593 165.0479548 242.1865456 338.5039958 431.9073692 496.8302183 -2009 504.8423996 460.8117665 371.4367932 265.4065038 175.9536124 126.9010315 125.6297419 168.4444087 244.9601547 338.4465837 428.1269102 490.9224718 -2008 498.8567799 457.5093652 371.4220194 266.9639238 177.4734335 128.4999377 128.3352141 172.5221287 249.0040729 340.0804414 425.7869690 485.2952023 -2007 492.3232441 452.6622258 369.8592491 267.7347273 178.8695671 130.1502041 131.0994562 176.8839537 253.8362464 343.0127546 424.8262089 480.3724669 -2006 485.8546031 446.8091954 366.9467964 267.6544401 180.0284545 131.7132357 133.6619215 181.1339888 259.0344428 346.9502471 425.2296044 476.5054657 -2005 480.0435308 440.5743846 363.0278052 266.7430502 180.8428808 133.0405999 135.7459575 184.8332736 264.1171471 351.5446928 426.9261075 473.9834176 -2004 475.4039170 434.6896469 358.6773270 265.1981020 181.2561465 134.0100315 137.1435681 187.5934010 268.5541105 356.2894498 429.6271055 472.8989684 -2003 472.3507333 429.7288677 354.3706306 263.2054266 181.2291199 134.5281264 137.6992475 189.0807411 271.8620791 360.7422402 433.1181983 473.3599695 -2002 471.1218492 426.0770587 350.4809363 260.9572932 180.7667766 134.5573118 137.3697855 189.1217831 273.6924837 364.5264523 437.1742060 475.3771400 -2001 471.8171776 424.2081241 347.5919098 258.8442714 179.9804953 134.1373419 136.2904897 187.7853188 273.7661849 367.0243150 441.1451631 478.5984535 -2000 474.3424356 424.1682039 345.8484799 257.0206409 178.9545992 133.3296429 134.6097599 185.2596538 272.1079020 368.0228599 444.7213300 482.7863846 -1999 478.3561683 425.9156671 345.4242105 255.7113633 177.8387018 132.2547981 132.5918737 181.9673682 268.9954132 367.3638036 447.3803535 487.3746707 -1998 483.3692052 429.2830595 346.4041018 255.0966403 176.7819249 131.0430577 130.5023391 178.3930079 264.8868704 365.0804588 448.6511908 491.6992844 -1997 488.6997326 433.7586304 348.5540329 255.1691579 175.8812605 129.8168657 128.5598237 175.0055026 260.4466091 361.6465173 448.4725646 495.2157632 -1996 493.6975513 438.7694929 351.5538529 255.8477271 175.1882444 128.6675362 126.9149559 172.1526410 256.2738112 357.6496700 447.0151309 497.5523833 -1995 497.6176280 443.6974401 355.1112836 257.0943062 174.7715665 127.6993099 125.7513124 170.2137024 252.9771140 353.6862128 444.4490298 498.2796892 -1994 500.1452590 447.8621543 358.6078956 258.5801589 174.5559010 126.9204138 125.0437872 169.2004525 250.8407826 350.4233289 441.5290885 497.7262509 -1993 500.9592635 450.7340890 361.6292125 260.1293742 174.5268437 126.3680100 124.8451183 169.2271656 250.1287841 348.2950566 438.6831174 496.0078992 -1992 500.1656651 452.0496490 363.8055807 261.5089886 174.6136515 126.0197310 125.0844033 170.1753876 250.7976119 347.4992143 436.3603521 493.5653850 -1991 498.0637071 451.6905095 364.7982655 262.4619299 174.7268879 125.8279014 125.6285759 171.8265885 252.6868486 348.1314509 434.9817961 490.9430869 -1990 495.0579869 449.8214533 364.5267537 262.8556358 174.8009579 125.7355223 126.3312413 173.9287807 255.5309760 350.0710884 434.6998331 488.5364813 -1989 491.6505950 446.8370619 363.1209952 262.6511263 174.7799802 125.6730430 127.0178229 176.1622206 258.9437034 353.0319718 435.5002695 486.6650991 -1988 488.4416211 443.2174702 360.7559328 261.8022896 174.5825686 125.5421114 127.4462750 178.0881696 262.4295159 356.6992065 437.4241683 485.7423280 -1987 485.8324272 439.4302544 357.7425069 260.3947955 174.1812414 125.2874578 127.4754247 179.4057955 265.5854819 360.7259210 440.3310141 485.9170672 -1986 484.3641537 436.1996711 354.6432888 258.6484462 173.5611358 124.8450584 126.9764895 179.7631537 267.8131803 364.4830983 443.8579728 487.2888313 -1985 484.2540410 433.8149692 351.7024884 256.6739303 172.7244645 124.2026429 125.9225846 179.0141729 268.8229246 367.6745544 447.8565251 489.9114800 -1984 485.8200669 432.8453154 349.4547111 254.7561283 171.7152058 123.3565952 124.3551335 177.0751002 268.2007556 369.6568097 451.7990591 493.6597804 -1983 488.9200501 433.4539382 348.2129755 253.1532193 170.6416958 122.3815926 122.4844718 174.2334894 266.0081513 370.0964088 455.1337730 498.0842273 -1982 493.5166052 435.7782229 348.1676236 252.0118184 169.5686737 121.3184374 120.4343485 170.6837170 262.2972544 368.7511737 457.4666722 502.9075351 -1981 499.0508906 439.6718748 349.4676603 251.5555259 168.6454025 120.2855135 118.4910479 166.9827931 257.6092701 365.6628191 458.2292971 507.3327396 -1980 504.9740144 444.8792858 352.1056202 251.8837636 167.9706822 119.3707958 116.8395560 163.5440401 252.4842582 361.1010639 457.1533242 510.7424672 -1979 510.4995876 450.7974072 355.8060688 252.9666163 167.6188414 118.6697673 115.6488333 160.7786973 247.6259808 355.7240710 454.3563943 512.6069069 -1978 514.8741528 456.7969897 360.2698551 254.7544798 167.6447755 118.2648496 115.0568087 159.0057077 243.6261474 350.1949262 450.1046219 512.5393570 -1977 517.3115796 462.0582081 365.0295803 257.1198427 168.0851315 118.2414340 115.2001881 158.5180800 241.0564722 345.2714209 444.9017094 510.3488655 -1976 517.5389094 465.8450627 369.4270917 259.7404852 168.8798293 118.6182231 116.0611778 159.2986858 240.1116146 341.5527712 439.5667637 506.5004866 -1975 515.2822855 467.5542956 372.9683553 262.4195332 170.0209439 119.4424007 117.7074901 161.4623410 241.0153379 339.4336345 434.5789674 501.2345510 -1974 510.7712999 466.8549007 375.1335789 264.8444411 171.4324297 120.7000400 120.0675110 164.8740358 243.6853114 339.0871708 430.4617573 495.1735648 -1973 504.4561221 463.6966227 375.5454801 266.7215268 173.0219236 122.3409871 123.0045237 169.3103214 247.9206157 340.5191667 427.5729290 488.9283715 -1972 496.8480953 458.2873899 374.0553974 267.8452032 174.7028672 124.2939435 126.3511528 174.5178112 253.4696583 343.6068218 426.0569576 482.9434367 -1971 488.6172583 451.1850113 370.8215005 268.1160024 176.3680405 126.4352583 129.8539601 180.1065882 259.9053106 348.0330510 425.8820157 477.5966793 -1970 480.5047980 442.9603881 365.9770619 267.3672552 177.8484452 128.5789489 133.1261420 185.5126879 266.7264681 353.5841326 427.2233936 473.4367947 -1969 473.0917533 434.3855402 360.0685810 265.7176941 179.0332433 130.5634874 135.8801882 190.2710199 273.4095325 359.8359132 429.8885320 470.6348356 -1968 467.0871981 426.2672028 353.6517039 263.2800425 179.7750903 132.1925548 137.7598271 193.7494374 279.2480956 366.3223149 433.8206498 469.5630515 -1967 463.0621636 419.2537892 347.2248342 260.2038144 179.9542604 133.3040966 138.5050910 195.4088857 283.5767249 372.6100570 438.9936411 470.5572539 -1966 461.4843569 414.0983547 341.5297118 256.8836137 179.5710792 133.8223831 138.0874301 194.9581668 285.6884566 377.9093719 444.9368199 473.6338050 -1965 462.6389285 411.2585537 337.0473742 253.6338052 178.6802789 133.7361810 136.6101243 192.3612807 285.1032961 381.5333230 451.2044876 478.7584240 -1964 466.8053671 411.2120358 334.2623408 250.7943311 177.3923030 133.0712557 134.2527174 187.7704735 281.4476455 382.6487054 457.1111686 485.7685478 -1963 473.5657902 414.0193942 333.5230596 248.7724088 175.9767190 132.0153518 131.4761788 181.9954669 275.1708993 380.7380119 461.5516769 493.7219483 -1962 482.6461516 419.7821464 335.0687795 247.8163416 174.6200311 130.6933149 128.5392046 175.6154395 266.7672511 375.5274678 463.6195518 501.8312467 -1961 492.9951413 427.9849752 338.8029857 248.0654587 173.5379450 129.3128830 125.7978013 169.4875345 257.4591178 367.6169778 462.6805235 508.8131018 -1960 503.4237299 438.0403024 344.6150929 249.6248440 172.8972084 128.0466357 123.5151176 164.2554917 248.3852704 357.9080554 458.4575362 513.4206159 -1959 512.5624327 448.8966040 351.9954684 252.3576336 172.7550624 127.0230851 121.8653652 160.3535612 240.5903125 347.7838236 451.5587333 514.9013197 -1958 519.2218733 459.3307953 360.2304178 255.9942195 173.0888276 126.3218915 120.9565051 158.0184065 234.7869946 338.5522723 443.0914776 513.1296877 -1957 522.4299425 468.0288307 368.4813656 260.2170115 173.8572528 126.0164074 120.9121408 157.4595115 231.4929939 331.2733408 434.2522134 508.3877829 -1956 522.0405139 474.0051201 375.8408649 264.5730861 174.9297865 126.1037473 121.7264926 158.6197379 230.7574464 326.4945082 426.1864647 501.6374597 -1955 518.3200332 476.5297574 381.3964680 268.5686506 176.1713318 126.5690426 123.3685972 161.4099004 232.5238666 324.4929962 419.7583824 493.9256805 -1954 511.8487263 475.4733655 384.6384168 271.8759520 177.4925635 127.3891130 125.7905544 165.7099316 236.5884218 325.1411462 415.2403218 485.9798151 -1953 503.5374368 471.0938461 385.1798853 274.1132972 178.7591952 128.4722237 128.7879945 171.1879080 242.5631550 328.1900357 412.8339468 478.5931096 -1952 494.2099924 463.9842844 383.0306179 275.0807892 179.8752978 129.7063242 132.1107361 177.4805138 250.0390638 333.2880902 412.4583476 472.1953368 -1951 484.6399186 454.9901785 378.5529992 274.7412017 180.7570996 130.9465644 135.4343654 184.1247284 258.5168072 339.9933775 413.8918858 467.0314485 -1950 475.5256991 444.9287856 372.1811401 273.0880627 181.2992432 132.0154403 138.3442816 190.5398048 267.4656677 347.9604311 417.0496703 463.3859097 -1949 467.6610509 434.7967035 364.5977482 270.2434806 181.3752915 132.6997762 140.3367317 195.9389743 276.1269670 356.7137124 421.8387550 461.6049665 -1948 461.4001355 425.2981444 356.5143892 266.5096847 180.9579245 132.9148387 141.1729820 199.8310748 283.9521986 365.8372847 428.0251542 461.6901737 -1947 457.4898541 417.2703652 348.5918803 262.1073816 179.9424311 132.5190303 140.4923766 201.3808700 289.9727606 374.7591497 435.6131770 464.1103134 -1946 456.2376781 411.2969967 341.5106218 257.4588571 178.3789239 131.5402758 138.3775164 200.2999818 293.4659476 382.7643312 444.2142384 468.8471249 -1945 457.9377519 407.8349422 335.7826177 252.9276425 176.3532405 130.0426665 135.0528059 196.5238161 293.7614698 389.0347069 453.3762496 475.8991802 -1944 462.7362331 407.2700901 331.8902054 248.9169437 174.0330283 128.1432922 130.9238262 190.4124137 290.4612538 392.5928416 462.2851931 484.9783660 -1943 470.5535486 409.7481480 330.0901688 245.7152184 171.6107168 125.9829169 126.4238948 182.6504371 283.6805750 392.6904287 470.0209049 495.5787579 -1942 480.8174362 415.2118807 330.6180817 243.6629937 169.3607502 123.7667029 122.0690042 174.3331831 274.2726110 388.9199071 475.2748284 506.5177383 -1941 492.9077072 423.4301423 333.4526793 242.8654722 167.4442115 121.6286990 118.1164950 166.2328071 263.2757986 381.5241889 477.2412310 516.7693660 -1940 505.6923452 433.8874100 338.4975706 243.4268862 166.0313097 119.7261316 114.8241666 159.1311156 252.0637786 371.3722825 475.3482356 524.9287366 -1939 517.6897680 445.6494857 345.3778759 245.3008279 165.2268453 118.1966026 112.3740111 153.5932439 241.9783752 359.9424454 469.8214559 529.7902662 -1938 527.7224806 457.7682736 353.6097794 248.3143474 165.0275854 117.0976793 110.8039579 149.7775454 233.7636682 348.5919131 461.5490533 530.9089288 -1937 534.5712560 468.9191209 362.4159094 252.1759462 165.4029670 116.4945648 110.1820223 147.8302346 228.0338928 338.6812875 451.8725450 528.3323611 -1936 537.4833101 477.9087124 371.0114380 256.5803779 166.3001221 116.4298663 110.5628387 147.8089663 225.0641112 331.0783354 442.0379841 522.5874254 -1935 536.5405273 483.8777444 378.5326807 261.0869366 167.5932037 116.8894928 111.8891830 149.5338222 224.7011813 326.1363853 433.1723636 514.8316234 -1934 532.0807053 486.2614914 384.2422196 265.3156059 169.1923280 117.8709111 114.1341144 152.8960376 226.7963918 323.9451740 425.9363454 506.0270324 -1933 524.7190909 484.9147482 387.6067482 268.9371788 171.0196401 119.3573077 117.2396430 157.7499118 231.1168758 324.3600031 420.6166744 496.9508918 -1932 515.4961997 480.2874348 388.3971078 271.6473700 172.9558889 121.2550508 120.9884214 163.7066467 237.1492213 326.9554753 417.2623676 488.3711220 -1931 505.1364528 472.8843476 386.5916355 273.2610578 174.9214565 123.4769113 125.1849818 170.4798873 244.5593606 331.4218404 415.7757754 480.6450120 -1930 494.3539035 463.4841456 382.5046602 273.7280538 176.8276672 125.8912420 129.5639460 177.6939822 252.9219087 337.3484865 415.9180408 473.9691682 -1929 484.0671101 453.0536707 376.5817901 272.9829365 178.5075014 128.2704309 133.6577015 184.6754031 261.5755684 344.2904841 417.6157744 468.7777619 -1928 474.6765531 442.2954213 369.3850636 271.1577623 179.8681680 130.4612237 137.1771272 191.0227999 270.1421879 351.9539095 420.6776953 465.0922149 -1927 466.8233035 432.0686142 361.5793640 268.4131712 180.7672426 132.2596539 139.7273861 196.0887449 277.9573934 359.9037421 424.9998581 463.1775540 -1926 461.0138434 423.0796994 353.7958928 264.9770333 181.0981176 133.5113448 141.0300518 199.3093518 284.3672430 367.7021777 430.4803857 463.2534897 -1925 457.6016997 415.8648958 346.5909728 261.1324470 180.8199453 134.1380440 140.9913617 200.3097106 288.7715355 374.8660365 436.9447351 465.4403188 -1924 456.7524036 410.8826897 340.5579037 257.2953851 180.0099632 134.1619402 139.7779765 199.0628412 290.6831166 380.7124625 443.8839939 469.5625245 -1923 458.7728667 408.4700823 336.0086797 253.6848139 178.7141780 133.5823539 137.4960547 195.5173858 289.6097918 384.6203875 451.0035070 475.7269914 -1922 463.3595135 408.7231935 333.3131846 250.7215401 177.1793635 132.5727324 134.6298996 190.3727394 285.7202479 385.9456559 457.3449426 483.2020653 -1921 470.2344068 411.5912522 332.5717949 248.5996694 175.5831549 131.2635909 131.4937577 184.2377630 279.3988686 384.3815276 462.2075525 491.4098805 -1920 478.9094390 416.9244519 333.8448696 247.4907897 174.1086352 129.8008901 128.3808697 177.7898503 271.3386263 379.9039301 464.8510690 499.5252106 -1919 488.4045038 424.1699135 336.9621014 247.4728502 172.9362474 128.3671230 125.5991670 171.8008759 262.6784543 373.1305034 464.8044906 506.4501222 -1918 497.7901085 432.7285453 341.6685235 248.5184667 172.1585337 127.0809870 123.3101610 166.7311272 254.3531768 364.9206199 462.0617900 511.3676817 -1917 506.1911258 441.8477400 347.5293509 250.4638545 171.7857041 126.0129755 121.5840151 162.8115897 247.0723801 356.2962685 457.1498974 513.8776036 -1916 512.5689551 450.5163604 353.9653610 253.1120883 171.8290796 125.2504474 120.5404231 160.3149585 241.5381738 348.3628775 450.8447600 513.7159099 -1915 516.4827442 457.9837904 360.4128714 256.1926232 172.2177310 124.8024175 120.1700229 159.2162387 237.9397586 341.7949009 444.0419111 511.2491815 -1914 517.8541942 463.6080992 366.2441105 259.3636660 172.8452451 124.6500657 120.4172891 159.3937367 236.2675347 337.0264836 437.6224210 507.1750321 -1913 516.6872395 466.9163075 370.9713953 262.3815186 173.6531119 124.7967903 121.2811315 160.8215141 236.5291214 334.2776218 432.1116447 502.0046018 -1912 513.5218868 467.8408042 374.2050990 264.9495093 174.5261478 125.1802930 122.6242237 163.2354851 238.4175417 333.4656059 427.9233872 496.5155780 -1911 508.9520317 466.6362352 375.8527067 266.9164269 175.3872926 125.7354700 124.3091557 166.3820882 241.5894406 334.3173706 425.1165240 491.1970519 -1910 503.4475558 463.5138276 375.8131114 268.1281565 176.1706616 126.4037894 126.1971623 170.0404107 245.8012727 336.6742873 423.7643285 486.4222670 -1909 497.6259253 459.1151605 374.4020504 268.6180540 176.8249638 127.0956548 128.1021797 173.8854580 250.6078994 340.0820002 423.6246130 482.3919158 -1908 492.0397295 453.9146601 371.7812924 268.3253492 177.2689662 127.7057608 129.7828274 177.5313955 255.6044508 344.2772393 424.7027001 479.4369295 -1907 486.9514699 448.4466074 368.4174758 267.4431016 177.5111053 128.1904617 131.1492257 180.7970463 260.4991614 348.8853477 426.6511945 477.4367905 -1906 482.7113295 443.1125869 364.5715634 266.0239834 177.5074400 128.4781218 132.0327028 183.3764504 264.9443537 353.6588571 429.4128229 476.5546667 -1905 479.6443295 438.4595025 360.7330428 264.2829265 177.2565684 128.5212393 132.3410590 185.0229077 268.5281660 358.1500762 432.6797865 476.7716730 -1904 477.6286382 434.5241954 357.0600189 262.3556410 176.8082788 128.3602146 132.1546928 185.8072541 271.2509288 362.2708882 436.2865932 477.8942806 -1903 476.8311458 431.6424065 353.8944348 260.4314354 176.1908453 127.9939632 131.4907977 185.6500685 272.8469326 365.6539904 439.9410184 479.8425772 -1902 477.1644479 429.8339017 351.3425423 258.6188739 175.4546753 127.4658719 130.4524584 184.6620991 273.3223041 368.1782523 443.4619371 482.4537626 -1901 478.3172998 428.9641423 349.4541986 257.0441131 174.6906052 126.8616839 129.2382614 183.1508536 272.9080566 369.8309627 446.5936890 485.3603034 -1900 480.1807790 428.9930565 348.2527778 255.7603390 173.9401216 126.2187514 127.9354075 181.2541130 271.6938836 370.5741446 449.1989771 488.4079567 -1899 482.5298194 429.7551031 347.6731614 254.7856366 173.2478193 125.5854835 126.6476516 179.1726619 269.8986777 370.5057940 451.2004273 491.3967922 -1898 484.9751908 430.9290165 347.5576578 254.1114600 172.6695386 125.0307339 125.5105178 177.1913614 267.8985497 369.8855306 452.5802020 494.0458436 -1897 487.4481036 432.4237571 347.8294220 253.7016831 172.2050809 124.5609182 124.5286685 175.3448476 265.7788825 368.8112423 453.3915313 496.3404039 -1896 489.8621131 434.0878618 348.3495546 253.4836950 171.8439111 124.1804190 123.6967289 173.6558473 263.6437615 367.4487693 453.7729807 498.3126856 -1895 491.9725617 435.6924700 348.9872627 253.4269737 171.6070671 123.9217984 123.0733235 172.2633939 261.7217003 366.0151519 453.7923747 499.8338873 -1894 493.9973759 437.3359757 349.7236270 253.4667766 171.4447544 123.7399441 122.5589953 170.9897481 259.8341820 364.4587228 453.5789085 501.1451332 -1893 495.9880038 439.0630647 350.5798265 253.6029420 171.3477020 123.6222478 122.1323383 169.7994535 257.9396734 362.7503433 453.1322911 502.2791516 -1892 497.8762389 440.7917696 351.4974082 253.8119283 171.3147804 123.5724669 121.8005557 168.7218853 256.1057328 360.9758180 452.5069198 503.2238864 -1891 499.9393195 442.8369678 352.6852108 254.1608044 171.3272373 123.5477850 121.4964224 167.6130493 254.0850417 358.8593186 451.5499466 504.0597127 -1890 502.1437178 445.1891310 354.1495730 254.6576963 171.3880144 123.5480602 121.2261528 166.4961326 251.9135837 356.4227754 450.2464099 504.7459517 -1889 504.3058016 447.8488273 356.0041841 255.4100599 171.5461158 123.6025737 121.0674541 165.5177464 249.7295248 353.6626399 448.3978134 504.9986362 -1888 506.4593359 450.8620893 358.2807849 256.4234368 171.7921742 123.6973545 120.9985640 164.6463380 247.5042826 350.5658729 446.0043649 504.8306803 -1887 508.3198298 454.1316573 361.0416746 257.7918033 172.1787270 123.8714663 121.1132079 164.0626784 245.4463710 347.2263109 442.9322020 503.9306887 -1886 509.4056222 457.1589011 363.9979283 259.4401545 172.7341725 124.1821516 121.5153190 163.9936820 243.9460076 344.0888901 439.4266566 502.1414655 -1885 509.6521204 459.9319460 367.1928594 261.4081274 173.4667198 124.6327804 122.2264360 164.4691359 243.0219118 341.1567474 435.4677364 499.4067171 -1884 508.6107488 461.7924942 370.1417021 263.5104728 174.3753037 125.2761691 123.3358889 165.6892411 243.0624676 338.9660170 431.5073404 495.7773445 -1883 506.1027537 462.4213693 372.5973976 265.6557168 175.4585333 126.1402083 124.9022087 167.7627312 244.2340195 337.7314175 427.7497056 491.3152642 -1882 502.1710703 461.5218941 374.1793564 267.6246940 176.6607852 127.2149417 126.8996061 170.6684340 246.5931511 337.6672536 424.5593344 486.3552287 -1881 496.9280672 458.9096537 374.5726614 269.2170300 177.9294953 128.4842365 129.2919196 174.3743576 250.1659183 338.9120740 422.2018848 481.1916912 -1880 490.5175534 454.4555122 373.4799248 270.2211691 179.2066230 129.9216232 132.0205305 178.8346226 254.9816206 341.6017124 420.9176029 476.1004397 -1879 483.5163480 448.5273467 370.9034550 270.4753162 180.3778175 131.4094945 134.8484725 183.7019246 260.7007561 345.5576089 420.8220837 471.5208016 -1878 476.3177099 441.3933292 366.8466353 269.8404472 181.3436015 132.8409967 137.5521672 188.6864108 267.1093569 350.7305658 422.0541599 467.7657353 -1877 469.3234280 433.4486201 361.4864572 268.2684176 182.0083011 134.0969393 139.8805465 193.4398617 273.9226088 356.9982944 424.6729149 465.0818819 -1876 463.3779862 425.5487941 355.3221251 265.8008060 182.2119554 134.9615462 141.3841625 197.2132309 280.3701925 363.9065430 428.7068722 463.9814019 -1875 458.8323045 418.1369019 348.7170171 262.5494339 181.8859032 135.3381690 141.8496695 199.5856267 286.0143483 371.2251033 434.1688349 464.6641401 -1874 456.2847164 411.9255654 342.2540100 258.7461056 180.9686092 135.1194234 141.0664199 199.9889983 290.0684361 378.3803228 440.9359002 467.4350025 -1873 456.3688640 407.6457851 336.5464982 254.6884332 179.4458577 134.2398232 138.9480253 197.9453482 291.6250651 384.5772384 448.7586522 472.5967271 -1872 459.3967877 405.7850739 332.1089702 250.7361507 177.4234874 132.7546592 135.6993016 193.4638178 290.0903390 388.9556491 457.0949315 480.1062005 -1871 465.4780775 406.6965160 329.3792082 247.2611219 175.0854173 130.7870735 131.6816107 186.9510783 285.2231038 390.6136255 465.0945737 489.6194828 -1870 474.8956506 410.9685380 328.9223541 244.6641858 172.6259653 128.4400358 127.2038556 178.8789600 276.8684734 388.4321576 471.5418957 500.6728873 -1869 486.8672627 418.3463548 330.8215365 243.2076606 170.3271980 125.9626566 122.7760801 170.3752925 266.1706484 382.3660833 475.2225215 511.9399457 -1868 500.7312908 428.8307800 335.3268105 243.1559796 168.4001899 123.5183141 118.6903334 162.2152829 254.1786422 372.5778995 474.9871638 522.0350363 -1867 515.1433379 441.8257020 342.3275581 244.6013838 167.0104205 121.2834469 115.2102577 155.1344810 242.3318800 360.2317193 470.4289593 529.3869285 -1866 528.2964047 456.2038399 351.4008303 247.4876900 166.2580781 119.4145256 112.5538848 149.7003880 232.0132591 347.0907069 462.0764490 532.6892166 -1865 538.4614625 470.5801389 361.9251436 251.6430859 166.1621796 118.0152971 110.8673834 146.2299082 224.1538674 334.8377611 451.1745076 531.3892870 -1864 544.4624142 483.4539260 373.0131443 256.7187056 166.6464284 117.1334972 110.2167869 144.8016486 219.1726094 324.7328375 439.3815504 525.9686468 -1863 545.4579949 493.0600209 383.4203417 262.2275582 167.6255695 116.8397826 110.7211072 145.5608065 217.4278890 317.7973861 428.3681805 517.4367211 -1862 541.6482023 498.3283781 392.0635977 267.6786640 168.9881500 117.1602779 112.4216065 148.4680659 218.8304929 314.2786545 419.1775192 507.1242201 -1861 533.9178203 498.8100476 397.9798836 272.5377903 170.6119524 118.0913594 115.2742332 153.3424849 223.0643466 314.0280741 412.3819541 496.3501880 -1860 523.0441476 494.3916113 400.4524020 276.3846233 172.4492360 119.6581985 119.2787969 160.1303206 229.9727605 316.8648715 408.1152258 485.8414542 -1859 510.2647637 485.7765739 399.2400102 278.8497698 174.4047434 121.7756910 124.1992710 168.4364022 239.0296037 322.2752828 406.2413721 476.2614977 -1858 496.5803661 473.9967703 394.6117974 279.7813323 176.4035626 124.3100342 129.7202681 177.8190460 249.7139566 329.7155410 406.4098454 467.8575516 -1857 482.7239453 459.9114933 386.8583803 279.0155898 178.3369468 127.0711802 135.4045463 187.7736756 261.6341539 338.9299473 408.5236227 460.8645111 -1856 469.6462189 444.8907774 376.8901877 276.6426083 180.0279311 129.7541745 140.5956718 197.4428534 274.0263306 349.3755663 412.3387052 455.5326420 -1855 458.0943317 429.9864556 365.5143658 272.7644733 181.2591022 132.0512389 144.5928371 205.8867065 286.1923194 360.7705963 417.9135160 452.2257750 -1854 448.8097218 416.2538882 353.6908384 267.6540598 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260.9811627 181.4416864 135.5355190 138.3679808 190.0107131 274.3703175 364.8158366 436.8691831 474.4222437 -32 468.6481330 421.9567266 346.8078254 259.4438737 181.5039916 136.1586375 138.6168741 190.1373936 275.4359608 367.1905719 439.4940291 475.6263120 -31 468.9546059 420.2432147 344.3789415 257.8283959 181.2050232 136.3305020 138.1986375 189.2124383 275.3292077 368.9079226 442.4084259 477.9556232 -30 470.6204141 419.7926959 342.6849481 256.3284287 180.6255947 136.0923157 137.2302816 187.3892007 274.0469348 369.7198633 445.2505374 481.1371511 -29 473.6795870 420.7745551 341.9239761 255.0864155 179.8228359 135.4659428 135.7776231 184.7527997 271.5400602 369.3752637 447.7122545 485.0013735 -28 478.0047034 423.1885929 342.1706831 254.1955225 178.8663658 134.5061443 133.9490648 181.4900406 267.9413515 367.7942954 449.5378260 489.2954357 -27 483.3249618 426.9878212 343.5196558 253.7857884 177.8580577 133.3007092 131.9052122 177.8852999 263.5115199 364.9546204 450.3794367 493.5846628 -26 489.0933409 431.8807319 345.9268888 253.9434063 176.9099790 131.9672768 129.8536181 174.3400085 258.7537105 361.1143288 450.0029465 497.2936922 -25 495.0814785 437.6665360 349.2606596 254.6125946 176.0318615 130.5429129 127.8363417 170.9538753 253.8903299 356.5297111 448.5008740 500.2919216 -24 500.4660418 443.7668955 353.3142777 255.8237963 175.3329393 129.1678147 126.0938735 168.1822946 249.5786767 351.7506774 445.8861029 501.9716264 -23 504.8909752 449.7282401 357.7638590 257.4322998 174.7961761 127.8774242 124.6686509 166.1169835 246.0824034 347.2316927 442.5530108 502.3538212 -22 507.9834828 455.0474132 362.2578368 259.2987887 174.4180008 126.7221477 123.6312187 164.8810164 243.6646117 343.3995958 438.8937076 501.4799913 -21 509.4179734 459.1809099 366.3813222 261.2550418 174.1924795 125.7542824 123.0543156 164.5958145 242.5686978 340.6590311 435.3323187 499.4791491 -20 509.1469768 461.7698211 369.7639185 263.1142073 174.0872858 124.9917603 122.9458758 165.2617208 242.8551851 339.2326421 432.2481085 496.6549072 -19 507.4479516 462.7216047 372.1269324 264.6781476 174.0438705 124.4146491 123.2268538 166.7179970 244.3633422 339.1306450 429.9416618 493.4695723 -18 504.3648446 461.8447117 373.2013542 265.8059288 174.0591166 124.0489308 123.9011835 168.9659989 247.1270881 340.4527183 428.5951467 490.1204228 -17 500.3622159 459.3979748 372.9666161 266.3935064 174.0845466 123.8471494 124.8279774 171.7485879 250.8410184 342.9908636 428.2615178 486.9662536 -16 495.8710108 455.6548429 371.4307019 266.3457940 174.0761577 123.7609992 125.8448628 174.7839472 255.2067841 346.5692554 429.0015908 484.3279652 -15 491.1782078 450.9368960 368.7650316 265.6871172 174.0256364 123.7616511 126.8420635 177.8716418 259.9860305 350.9787870 430.7140997 482.2969960 -14 486.7499856 445.7176415 365.2225474 264.4395461 173.8860130 123.7777393 127.6208661 180.6454195 264.7604771 355.9187299 433.3415998 481.1116748 -13 483.0112839 440.5002800 361.1463596 262.6922611 173.6199850 123.7456493 128.0113966 182.7518028 269.0868287 361.0382150 436.7636491 480.9432052 -12 480.1861744 435.6316964 356.8413806 260.5704634 173.2194746 123.6411354 127.9468789 183.9891309 272.6605374 366.0595533 440.8313293 481.8235176 -11 478.5706394 431.5847008 352.7394844 258.2752895 172.6815009 123.4340095 127.3933254 184.1649699 275.0788839 370.5322681 445.2562364 483.7524625 -10 478.4818335 428.7089553 349.1071915 255.9138689 171.9842564 123.0902345 126.3075484 183.0770104 275.9479816 374.0839725 449.9054357 486.8753953 -9 479.7789150 427.1792638 346.2917913 253.7680858 171.2229470 122.6718591 124.9166845 181.0120781 275.2856106 376.3523640 454.2390648 490.7588534 -8 482.5529502 427.1678122 344.4649942 251.9503412 170.4240105 122.1818829 123.2935348 178.0540695 272.9959030 377.0496092 457.9862974 495.3162667 -7 486.6581187 428.7821274 343.8534689 250.6600052 169.6761553 121.6682665 121.6181201 174.5263198 269.2390697 375.9230369 460.6360214 500.1214535 -6 491.5556765 431.7184969 344.3990495 249.9867918 169.0852237 121.2206168 120.1121280 170.9310819 264.5981488 373.1913342 461.8818858 504.5838252 -5 496.9077093 435.8772637 346.1581873 250.0302602 168.7224318 120.8823007 118.8885068 167.5685534 259.4578462 368.9797163 461.4339024 508.2299759 -4 502.1768777 440.8316289 348.9096775 250.7454710 168.6332227 120.7093366 118.0386072 164.7200598 254.3558060 363.7971380 459.3842040 510.6917435 -3 506.5699147 445.9851387 352.4018058 252.1203281 168.8906882 120.7865593 117.7167019 162.7702373 249.9702672 358.3035713 455.8686301 511.4444660 -2 509.7653197 450.9019015 356.3116388 254.0030626 169.4669294 121.1205510 117.9036858 161.7342659 246.5336508 352.9960642 451.3527128 510.5645414 -1 511.3635443 455.0197163 360.2360619 256.2261660 170.3440835 121.7373571 118.6254593 161.6950046 244.3306228 348.4057312 446.3474631 508.1445661 0 511.0633284 457.7795120 363.7304953 258.5940037 171.4925693 122.6566692 119.9043933 162.7180321 243.5860890 344.9922605 441.3780217 504.3932207 1 509.0963377 459.0380276 366.5087171 260.9016118 172.8267784 123.8305688 121.6394647 164.6201831 244.1389710 342.8318138 436.8534197 499.8210863 2 505.7048358 458.6439592 368.2450145 262.9169465 174.2592851 125.2114750 123.7308865 167.2441177 245.8752714 342.0213892 433.1593009 494.9202306 3 501.1037126 456.6058561 368.8017614 264.5185081 175.7353246 126.7600875 126.1147557 170.5002125 248.7070565 342.5414133 430.4245697 489.9509521 4 495.9477466 453.3012362 368.1796538 265.5482259 177.1269241 128.3509695 128.5554224 174.0058313 252.2101459 344.1441807 428.7866773 485.4530942 5 490.6643823 449.1032027 366.5205797 265.9714591 178.3573709 129.8902565 130.8907878 177.5109166 256.0946441 346.6010819 428.2061159 481.6606049 6 485.5615058 444.3298270 363.9861711 265.7862703 179.3637560 131.2940652 132.9824490 180.8131994 260.1403189 349.7417242 428.6363028 478.7143629 7 481.2361091 439.6198657 360.9602885 265.0583812 180.0551068 132.4265625 134.5913638 183.4985146 263.8290285 353.1392404 429.9457408 476.8869816 8 477.9240991 435.3138577 357.7187576 263.8862832 180.4007445 133.2231012 135.6166777 185.3815761 266.9085288 356.5583169 432.0060730 476.2242230 9 475.7463235 431.7363689 354.6104422 262.4598710 180.4218644 133.6627338 136.0492465 186.3932619 269.1794957 359.7019403 434.5385222 476.6029408 10 475.0015843 429.2640984 351.9347085 260.9059625 180.1062068 133.6960342 135.8130212 186.3381991 270.3021188 362.2220438 437.3681034 478.1080920 11 475.5702256 428.0127613 349.9415723 259.4361233 179.5429985 133.3798696 135.0444381 185.3784625 270.2861630 363.8930170 440.1312005 480.4222986 12 477.2622594 427.9251322 348.6955761 258.1572047 178.8067120 132.7780887 133.8772780 183.7124462 269.2610492 364.6624091 442.6160567 483.2872254 13 479.9838715 429.1072181 348.3933845 257.2346654 177.9797461 131.9464877 132.4318864 181.5058433 267.2714962 364.3318638 444.4683899 486.4045317 14 483.2951954 431.2006453 348.8622854 256.6664070 177.1376464 130.9812064 130.8803583 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472.6633120 363.0311180 253.3694633 169.9538930 123.2828176 115.4204890 147.3479558 220.0951603 327.0272109 444.2196193 529.1445555 1001 544.8227762 486.7647175 376.1898641 259.9938861 171.3296265 123.0046451 115.4202633 146.6863400 215.5688511 316.0715624 429.6539853 520.3722843 1002 543.5056704 496.5319540 388.2065775 266.9425250 173.1679998 123.3268941 116.6468705 148.3761501 214.6865812 309.1329710 416.8673205 508.6736597 1003 536.6944456 500.4410110 397.3832077 273.4207744 175.2821974 124.2774964 119.1785427 152.4482581 217.4373087 306.5445194 407.1803678 495.9454246 1004 525.9353288 498.5639835 402.8489804 278.8543289 177.5040536 125.8084420 122.9381366 158.6547035 223.2920506 307.7241342 400.7224801 483.5796988 1005 512.6509860 491.3803320 403.9654342 282.6902032 179.6970250 127.8544033 127.7798232 166.7313521 231.8264305 312.1912826 397.4067499 472.4488314 1006 498.0874529 480.0004367 400.8086624 284.6430335 181.7612811 130.2845726 133.4335504 176.3010865 242.5329770 319.3279685 396.7882287 462.8627378 1007 483.2784533 465.6435463 393.7561909 284.5082470 183.5662830 132.8690346 139.4277374 186.8103233 254.8905377 328.6652981 398.5672205 455.0465573 1008 469.2567199 449.9098395 383.8368335 282.3820035 184.9468320 135.2592918 145.0560582 197.3996696 268.1203798 339.5740341 402.3547786 449.1461439 1009 456.6668130 433.8670522 371.8874156 278.3645230 185.7232171 137.1174405 149.5612322 207.1959571 281.6633076 351.8504725 408.1639172 445.3895741 1010 446.4215426 418.8822522 359.1343270 272.8004392 185.6788502 138.0909076 152.0623345 214.9039801 294.4796705 365.0093969 415.9945188 444.1987824 1011 439.2826413 406.0016619 346.6395580 266.1185322 184.6421538 137.9745120 151.9257527 219.2250146 305.4024328 378.5809399 425.9859708 446.0719467 1012 435.9090942 396.0580555 335.3280732 258.8518677 182.5553162 136.7515038 148.9933384 219.0769961 313.0287505 391.8260907 438.1769969 451.4816336 ;