# 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 439.0237627 368.8402773 268.2023634 160.1084300 72.3892969 29.3368046 35.3621836 94.9319076 201.5370948 319.7634634 413.2686207 457.0577974 -6011 437.6138009 362.4010937 261.7817304 157.7398857 73.7148138 30.5545510 33.8997092 90.9638872 200.0075542 324.5179670 421.5862100 462.4950724 -6010 440.1756612 359.4309697 257.1585296 155.5296137 74.6579647 31.7326624 32.2529387 85.0131817 194.1061415 325.1899539 428.8879623 470.2934629 -6009 446.4538625 360.0151003 254.6041318 153.7262393 75.2020372 32.7669264 30.7683625 78.2235192 184.6783631 321.2839131 434.0282201 479.6540739 -6008 456.1392062 364.2869270 254.3803987 152.5659133 75.4023358 33.5700252 29.6075123 71.5704808 172.9214417 312.6535512 435.6978405 489.4892377 -6007 468.5118749 372.1452568 256.6140917 152.2305709 75.3658248 34.1059747 28.8091687 65.7812370 160.3743851 299.9969301 432.8811891 498.3414888 -6006 481.7938039 382.7342330 261.0980052 152.8162353 75.2316769 34.3983419 28.3925560 61.4579584 148.9876964 285.3766178 425.5364089 504.3138451 -6005 494.4817869 395.2704150 267.5911156 154.3152404 75.0770534 34.4848419 28.3051892 58.6599270 139.7278788 270.6255163 414.4717534 506.3009288 -6004 504.6300209 408.2839216 275.4795651 156.5956471 74.9556171 34.4278056 28.5443382 57.4226716 133.3475248 257.7568603 401.4781330 503.8373112 -6003 510.7766163 420.0619581 283.8637306 159.3880362 74.8764339 34.2913299 29.1132757 57.6633849 130.0703084 248.1545821 388.6960221 497.6031984 -6002 512.3448772 429.1983486 291.8584932 162.3991727 74.8165623 34.1235675 30.0310952 59.2880912 129.7794641 242.3476622 377.7067560 488.8708292 -6001 509.7312720 434.6791116 298.4932100 165.2579819 74.7566168 33.9757249 31.2783789 62.0906644 132.0643078 240.2518731 369.5535512 479.3092890 -6000 503.4301426 435.8129745 302.9530816 167.6738042 74.7007113 33.8841500 32.8649954 66.0313769 136.7773854 241.7706245 364.6987587 469.9991368 -5999 494.8293225 433.0541206 304.9265096 169.4305989 74.6559296 33.8583187 34.6810222 70.7737648 143.2595590 246.1009856 362.8674024 461.8415107 -5998 484.9403363 427.0217350 304.3545492 170.4146935 74.6524149 33.8905341 36.5922906 76.0253082 151.0421122 252.6597621 363.6872655 455.2032246 -5997 474.6454585 418.5704140 301.4610140 170.5946022 74.7176884 33.9488008 38.4003751 81.4045846 159.6142740 260.8793267 366.7375983 450.2352570 -5996 464.8933217 408.8899817 296.8275743 170.0356071 74.8540388 33.9811772 39.8399031 86.3599058 168.2404755 270.0050746 371.4846477 447.0257356 -5995 456.4114809 399.0025243 291.0747488 168.8360176 75.0428878 33.9407821 40.6530363 90.3206384 176.2067482 279.4085794 377.5566672 445.6696479 -5994 449.6077616 389.6512394 284.7901069 167.1308819 75.2428303 33.8029985 40.6950940 92.8795334 182.9763277 288.6309290 384.6703521 446.1543231 -5993 445.1609542 381.7725912 278.6777404 165.0861770 75.3734717 33.5528704 39.8763624 93.5507087 187.7064614 296.8743319 392.4233739 448.6340378 -5992 443.3650857 375.8682418 273.2176177 162.8629756 75.3633792 33.2019992 38.2978870 92.2105829 189.8965817 303.5553970 400.4715234 453.1078269 -5991 444.2315477 372.1964085 268.7726406 160.6423132 75.1621928 32.7681266 36.2154782 89.1229273 189.4048892 308.1867595 408.3296925 459.3186984 -5990 447.9606146 371.1137809 265.6820296 158.5877005 74.7358378 32.2530431 33.8627914 84.5870967 186.0544821 310.0940973 415.3653231 467.0763462 -5989 454.1186930 372.5314033 264.0952158 156.8709416 74.1057932 31.6609472 31.5423015 79.3585863 180.4693655 309.1471736 420.8627269 475.6366341 -5988 462.2024527 376.1918999 263.9704942 155.5731956 73.3260303 31.0028099 29.4197434 74.0317594 173.3965812 305.5498809 424.3596761 484.3248861 -5987 471.5969058 381.9190759 265.3742016 154.8121736 72.4471879 30.2791841 27.6193037 69.1672835 165.7137319 299.6690894 425.3044198 492.2091335 -5986 481.3754366 389.0245318 267.9794635 154.5520591 71.5463711 29.5268729 26.1680861 65.0857364 158.3262200 292.4946797 423.9229057 498.6294886 -5985 490.5310214 396.8621281 271.5584666 154.7920352 70.6747967 28.7683840 25.0981247 62.0602956 152.0477907 285.0351955 420.5211587 502.8854939 -5984 498.3660188 404.7209684 275.7039668 155.4200199 69.8763463 28.0464781 24.3761148 60.0568200 147.1922673 278.1131082 415.8532081 504.9426449 -5983 504.2468357 411.9244349 280.0537779 156.3446531 69.1772895 27.3908497 23.9941753 59.0768381 144.0013116 272.3921054 410.6277728 504.8570045 -5982 507.7198953 417.6668794 284.0663494 157.4023963 68.6113432 26.8440430 23.9274619 59.0399403 142.5513346 268.4268328 405.7348574 503.0775261 -5981 509.0277151 421.8282682 287.5500587 158.5035851 68.1825647 26.4249031 24.1366254 59.7608791 142.5250546 266.0584646 401.4616971 500.1340638 -5980 508.2446492 424.0235891 290.1220125 159.5139793 67.9180153 26.1624823 24.5851459 61.1117607 143.7819884 265.3687298 398.2617953 496.5638311 -5979 505.7577793 424.3255070 291.6759306 160.3700834 67.8278464 26.0672555 25.2301480 62.9347073 146.0376266 266.1028405 396.1737741 492.7590093 -5978 502.1822589 423.1128292 292.2735124 161.0388671 67.9122551 26.1401409 26.0038120 64.9955004 148.8587597 267.7959905 395.0344692 489.0758454 -5977 497.9364876 420.6839448 291.9851444 161.5034800 68.1698693 26.3762756 26.8487011 67.1245527 151.9588598 270.1460786 394.7164575 485.7173888 -5976 493.3551219 417.3610639 290.9469283 161.7727129 68.5892165 26.7629236 27.7173237 69.1905940 155.1119268 272.8906322 395.0546145 482.7732703 -5975 489.0317984 413.8067132 289.5131050 161.8999330 69.1317654 27.2721586 28.5452580 70.9771401 157.8817987 275.4795692 395.6668810 480.3416943 -5974 485.0362589 410.1881746 287.8169259 161.9153279 69.7705064 27.8805035 29.3202728 72.4717043 160.2377756 277.8425099 396.4512476 478.3622486 -5973 481.5493948 406.8132014 286.0836536 161.8716983 70.4667316 28.5583629 30.0323542 73.6430097 162.0666148 279.7730354 397.1951391 476.7734596 -5972 478.7710900 404.0232019 284.5692527 161.8340976 71.1761243 29.2712404 30.6784031 74.4721737 163.2471742 281.0265750 397.6438047 475.5006381 -5971 476.4788576 401.7030525 283.2797726 161.8258211 71.8791706 29.9966456 31.2910496 75.1001022 164.0043122 281.7864883 397.8142203 474.3763651 -5970 474.5691892 399.8375049 282.2597324 161.8728387 72.5568899 30.7131277 31.8900228 75.6162689 164.4648460 282.1277520 397.6706323 473.2821365 -5969 472.9659549 398.4555788 281.5843399 162.0107381 73.1889096 31.3970445 32.4955594 76.1083131 164.7395412 282.0891064 397.1363700 472.0854875 -5968 471.3381799 397.1647623 281.0205593 162.1864036 73.7883500 32.0496795 33.1167609 76.6797383 165.1076547 282.0628052 396.5037961 470.7663193 -5967 469.5265520 395.8490954 280.5329748 162.4029971 74.3507247 32.6611318 33.7714194 77.4181365 165.7276482 282.2012097 395.8207189 469.2332948 -5966 467.5633804 394.3786989 279.9685059 162.5933132 74.8818686 33.2337770 34.4153691 78.2372880 166.5555014 282.5985929 395.3065077 467.6880404 -5965 465.2862662 392.5485435 279.1970166 162.7228444 75.3877946 33.7683364 35.0502163 79.1855526 167.7328665 283.4617133 395.1223935 466.1325446 -5964 462.8093283 390.2675786 278.0584410 162.7089899 75.8749090 34.2701378 35.6119767 80.1187231 169.1384062 284.8364078 395.5033935 464.8414303 -5963 460.4739569 387.8597861 276.7110341 162.5675866 76.3192003 34.7211733 36.0536070 80.8871972 170.4944350 286.4208832 396.3048617 463.9488783 -5962 458.3394019 385.1998857 274.9885088 162.2176291 76.7271245 35.1281945 36.3157537 81.3606373 171.7128450 288.3062845 397.7840367 463.7011441 -5961 456.8456720 382.7581278 273.1589972 161.7076180 77.0622794 35.4661343 36.3552802 81.3665296 172.4228905 290.0493060 399.6846710 464.2215295 -5960 456.3250889 380.8270737 271.3653947 161.0520973 77.3003987 35.7210518 36.1338612 80.7516424 172.3225411 291.3401499 401.8959335 465.6802810 -5959 456.9950717 379.6807490 269.7957960 160.3037051 77.4162454 35.8752906 35.6597204 79.4854706 171.2406178 291.8974857 404.2047519 468.0869583 -5958 459.0853681 379.6615447 268.7034984 159.5472715 77.3860890 35.9096331 34.9656960 77.5938714 169.0308806 291.3644192 406.2612995 471.3633071 -5957 462.8095277 381.1505263 268.3836592 158.8913573 77.1897533 35.8015109 34.1007717 75.1646784 165.6166971 289.3644961 407.6004694 475.3277032 -5956 467.9545194 384.1437548 268.9305461 158.4129293 76.8403197 35.5498699 33.1466447 72.4466326 161.3015823 285.9587766 407.9425521 479.5964363 -5955 474.3003352 388.7244204 270.5166224 158.2158926 76.3498212 35.1492068 32.1802646 69.6907950 156.4133001 281.2046814 406.9118587 483.6680556 -5954 481.4807424 394.8748471 273.2678802 158.3911041 75.7376514 34.6020452 31.2710896 67.1429832 151.3570913 275.3325333 404.2439203 486.9734713 -5953 488.6205680 401.9713813 276.9456617 158.9266642 75.0479126 33.9398641 30.4875634 65.0824089 146.7992417 269.1636386 400.2670165 489.0069671 -5952 495.1075482 409.6846326 281.5002480 159.8505476 74.2961707 33.1777495 29.8833644 63.6847837 143.1320159 263.1937575 395.1620849 489.3656415 -5951 500.1545521 417.2307146 286.5461510 161.0781658 73.5092780 32.3542020 29.5016678 63.0849381 140.7639808 258.1685981 389.6030219 487.9899705 -5950 503.0880814 423.7387234 291.5969911 162.4881264 72.7094437 31.5095294 29.3853065 63.3920750 140.0133861 254.7394277 384.3404412 485.0621264 -5949 503.5435919 428.4262014 296.1221705 163.9296220 71.9183531 30.6855414 29.5639450 64.6534962 141.0322153 253.3223916 380.0396062 480.9978577 -5948 501.6316127 430.9452752 299.7691206 165.2817803 71.1490354 29.9122426 30.0448990 66.8313814 143.7331142 253.9217037 376.9986972 476.2634151 -5947 497.2811860 430.5074181 301.7978116 166.3177671 70.4641049 29.2429746 30.8174223 69.9113321 148.2109278 256.8823196 375.8527490 471.4617914 -5946 491.1607088 427.4845345 302.1898058 166.9843622 69.8870739 28.6868955 31.8204042 73.7027710 154.0906896 261.7383359 376.3687280 466.9166980 -5945 483.6515850 421.9205360 300.7076190 167.1729964 69.4814596 28.2646078 32.9566300 78.0126484 161.1691292 268.3739699 378.6235808 462.9565021 -5944 475.3656139 414.2733061 297.3953248 166.8305467 69.3004623 27.9778364 34.0521970 82.4740873 169.0103554 276.4383237 382.5076031 459.8674410 -5943 466.9253167 405.2871459 292.6146618 165.9956806 69.3612066 27.8106269 34.9255916 86.6809591 177.0981652 285.4472904 387.7195804 457.7562790 -5942 459.0570814 395.7340180 286.7451584 164.6863440 69.6637382 27.7516204 35.3346187 90.0324295 184.7085736 294.8738125 394.1080557 456.9344194 -5941 452.2796965 386.2401672 280.1820392 162.9442449 70.1723114 27.7987711 35.1136760 92.0172356 191.2106868 304.3042437 401.5882800 457.6352464 -5940 447.3737847 377.7438618 273.5689633 160.8796259 70.7795778 27.9417357 34.1837809 92.0981195 195.6688008 312.9225818 409.8438693 460.1501104 -5939 444.9571106 370.9043117 267.3770179 158.5845723 71.3690591 28.1792007 32.5996321 89.9463921 197.2458260 319.9631349 418.6517175 464.8062584 -5938 445.4411415 366.2285329 262.0369996 156.1976608 71.8217782 28.4922027 30.5870632 85.6642588 195.3970326 324.6123557 427.5744832 471.7032946 -5937 449.4213092 364.4361538 258.1021006 153.9238706 72.0254615 28.8206570 28.4233844 79.6218357 189.6530267 325.6531854 435.7065939 480.8242114 -5936 457.0219638 365.8598467 255.9062673 151.9625613 71.9500802 29.1004967 26.3866342 72.6164295 180.3669027 322.3016963 441.9608832 491.6935483 -5935 468.0403629 370.6680275 255.7015953 150.5139351 71.6297880 29.2739868 24.6635332 65.5527674 168.5419476 314.2809242 445.0704844 503.3591220 -5934 482.0764085 379.1313620 257.8536104 149.8188483 71.1246300 29.2865852 23.3408114 59.2088474 155.5264833 301.7993116 443.5843148 514.3290852 -5933 497.8734175 390.8407864 262.3506936 150.0000054 70.5457469 29.1483364 22.4291052 54.1184788 142.9890182 286.3689065 437.0165580 522.8092267 -5932 513.7261705 405.1536014 269.1273062 151.1446179 69.9800101 28.8813218 21.9159039 50.5539286 132.2922044 269.9751728 425.7246359 527.0551944 -5931 527.5929794 420.9397783 277.8609107 153.2302035 69.4881223 28.5322379 21.7941743 48.5812843 124.3027435 254.6875821 411.1611043 526.0376378 -5930 537.4277936 436.5193561 287.8872235 156.1075656 69.0996696 28.1628248 22.0855226 48.1959474 119.4690392 242.2462171 395.5172294 519.8277386 -5929 541.6827861 449.7555172 298.1217121 159.4840098 68.8235333 27.8470423 22.8395881 49.3904489 117.9598964 233.8525301 381.1548274 509.6556373 -5928 540.1498046 459.2027526 307.6361534 163.0791322 68.6409048 27.6453806 24.1225221 52.1304686 119.5572904 229.6294832 369.3696937 497.1593632 -5927 533.0988438 463.2385525 315.0535594 166.4818198 68.5815783 27.6489399 26.0119021 56.4380370 124.1706579 229.7077991 361.2616405 484.1346053 -5926 521.8073178 461.6154266 319.5681589 169.3983765 68.6829443 27.9227900 28.5418865 62.2226150 131.3981913 233.4763755 356.7595980 471.7645666 -5925 507.4131743 454.4925307 320.5844820 171.5945569 69.0256523 28.5228768 31.7142247 69.4032344 140.9599676 240.4448920 355.5616552 460.6335474 -5924 491.2516211 442.8696172 318.0603707 172.9391132 69.6947761 29.4604237 35.3936140 77.6607015 152.2991235 249.8458914 357.0280449 450.9772293 -5923 474.2287999 427.7778284 312.2057643 173.3673574 70.7712949 30.7015339 39.3398812 86.6097356 164.9683968 261.1695649 360.6770588 442.7869104 -5922 457.5012034 410.8742804 303.8417701 172.9306087 72.2659980 32.1460450 43.1210191 95.5078978 178.1114747 273.5770114 365.8655346 436.0752672 -5921 441.8442378 393.3488943 293.6848048 171.6538853 74.1432153 33.6794726 46.2235218 103.5308748 191.0113082 286.6372149 372.4184519 431.0113148 -5920 428.2659281 376.5469168 282.6486404 169.5853436 76.2584914 35.1815886 48.0621246 109.5375983 202.5817808 299.7635638 380.2905154 428.0611190 -5919 417.7148008 361.7297153 271.7446948 166.8554496 78.3530021 36.5740718 48.2868083 112.4589071 211.5785010 312.2332931 389.4300247 427.7279746 -5918 411.0322143 349.7734865 261.7037448 163.5840552 80.1305113 37.8184275 46.8534562 111.4370148 216.6507582 323.2811113 399.9795622 430.7104390 -5917 409.0729037 341.5258282 253.2573406 160.0098505 81.2990270 38.8596068 44.1352204 106.2052683 216.3569158 331.6019124 411.7036026 437.6175370 -5916 412.4429464 337.6887111 247.0851654 156.5130512 81.6952861 39.5995590 40.8332899 97.5695584 209.8455097 335.3971521 423.5780048 448.5429318 -5915 421.5249275 338.6854031 243.5789084 153.4297531 81.3439353 39.9317163 37.5235400 86.9627951 197.2712289 332.9254358 434.0496609 463.2016669 -5914 436.1057732 344.7847937 243.1235256 151.1554893 80.4215585 39.7882453 34.6096410 76.2823999 180.4328577 323.1636987 440.6122542 480.1089492 -5913 455.5254090 356.1838106 246.0612831 150.0261482 79.1603100 39.1725789 32.1955599 66.9050814 161.9523963 306.5091128 440.6689192 496.8757960 -5912 477.8883248 372.3208371 252.3478385 150.2045229 77.7910647 38.1762707 30.2524845 59.5693376 144.7319705 285.6507569 433.1011688 510.3612843 -5911 500.5353520 392.2062786 261.7899493 151.7363175 76.4544817 36.8982675 28.7235620 54.4191632 130.7085248 264.0968649 418.7562191 517.7205588 -5910 520.0430865 413.9286460 273.7811106 154.4967132 75.2074369 35.4371386 27.6045206 51.4003882 120.9342909 245.2887439 400.5490591 517.4461707 -5909 533.7521870 434.9125181 287.1368522 158.0886153 74.0136512 33.8852624 26.8954437 50.2534404 115.4050851 231.2852468 382.3226115 510.6656094 -5908 539.9465446 452.2577657 300.3545420 162.0549837 72.8110651 32.3189103 26.6756437 50.9477692 114.0650163 223.1317736 367.1852780 499.6839058 -5907 539.1699841 464.0968874 311.9680596 165.8896552 71.5381556 30.8153096 27.0005789 53.3377727 116.3480591 220.4401412 356.5690564 487.3569317 -5906 532.6538343 469.1019006 320.4449485 169.0926626 70.2128380 29.4682399 27.9297218 57.3744514 121.9061851 222.7521428 351.0212258 475.8492892 -5905 522.1614260 467.4092593 324.9688173 171.3641233 68.9138559 28.3507455 29.4705243 62.9356157 130.2595014 229.1852143 349.9905730 466.1688613 -5904 509.2707713 460.0781202 325.4190489 172.6033866 67.7658708 27.5068244 31.5548417 69.7966203 140.8523396 238.7628375 352.4962730 458.4572266 -5903 495.1315840 448.2505743 321.9018588 172.7700100 66.9348074 26.9474624 33.9741906 77.5567146 153.1133719 250.7522394 357.8274792 452.6752018 -5902 480.7183077 433.5906807 315.2432277 172.0202011 66.5393011 26.6286812 36.4149043 85.6489364 166.3070899 264.2695948 365.0762371 448.4619909 -5901 466.8819757 417.6577453 306.4205620 170.5341178 66.6476429 26.4876348 38.4570588 93.3053208 179.5782790 278.5197506 373.5968487 445.6477200 -5900 454.3588094 401.5799721 296.1919466 168.4040331 67.2868547 26.4799125 39.5977284 99.5513929 192.0157396 292.9837914 383.2526971 444.4568534 -5899 443.9789774 386.7422825 285.6956814 165.8298751 68.3243571 26.5868193 39.5281905 103.4627139 202.5076485 306.8324424 393.6506800 445.0339445 -5898 436.4558651 374.0041168 275.6498170 162.9084581 69.5788135 26.8417139 38.1360456 104.2037468 209.9104812 319.3848525 404.7770017 447.8466218 -5897 432.4632091 364.1094760 266.7088123 159.7744351 70.7990227 27.2731659 35.6487269 101.3474038 213.0587593 329.7136320 416.4645429 453.3360843 -5896 432.4541466 357.6188687 259.4395985 156.6427341 71.7456943 27.8572394 32.6126661 95.2413818 211.1475080 336.6406027 428.1317078 461.6287978 -5895 436.8043903 354.9718318 254.2644522 153.7500790 72.2744544 28.5022621 29.5836650 86.7978192 203.8583901 338.8093814 438.7996075 472.6391478 -5894 445.3124647 356.1823603 251.3540839 151.3271108 72.3861562 29.0981397 26.9936790 77.4767233 192.0909229 335.4236793 447.1521817 485.6305687 -5893 457.7172045 361.4562407 251.0123579 149.6464893 72.1523756 29.5337093 25.0343298 68.6165485 177.3749940 326.0373160 451.3699521 499.3156398 -5892 472.9182152 370.4267240 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301.7095119 396.6644416 449.2911518 -4621 437.8139495 369.5175077 269.1484629 162.2890262 76.9467380 34.8040034 39.3823898 93.5310083 192.5437332 307.0959355 402.5102991 451.2558528 -4620 436.4561363 364.5294512 264.3456421 160.4839998 77.7119405 35.5426441 38.4740776 91.3379831 192.2008158 310.9170195 408.5596476 455.0029790 -4619 437.7806045 361.7834253 260.6146729 158.7048747 78.1832625 36.1319223 37.2072216 87.6973464 189.2196786 312.4665927 414.2596963 460.4833036 -4618 441.9260176 361.5346487 258.1992861 157.0880549 78.3381269 36.5325146 35.7435599 82.9731667 183.6523723 311.2458950 419.0386083 467.4985905 -4617 448.7138626 363.8847175 257.3027881 155.7965257 78.1990545 36.7138442 34.2602122 77.7566193 176.0384549 307.0461887 422.1451374 475.4447956 -4616 457.8506427 368.8712341 258.0713717 154.9663232 77.8157523 36.6607779 32.8643156 72.5629527 167.0938021 299.9414043 422.8676591 483.5700531 -4615 468.8419753 376.4791018 260.6491895 154.7298003 77.2487463 36.3716428 31.6241010 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31.0277809 29.9094779 63.2934298 135.5806794 243.5467803 369.9909912 477.6837247 -4607 505.0074685 439.4112358 306.3465911 167.4932512 71.3298245 30.3149473 30.8676262 66.8080926 140.5650486 246.6000951 367.9789625 471.2575996 -4606 497.7332582 436.2444555 307.3052068 168.4767098 70.6996950 29.7277768 32.0675548 71.0586298 147.0644884 251.9007234 368.2514128 465.6097122 -4605 489.1463050 430.1973430 306.0487830 168.8589747 70.2219505 29.2765429 33.4106631 75.8338979 154.7690444 259.0831103 370.5665630 460.9354855 -4604 480.0160579 422.0925678 302.8746368 168.6600095 69.9396784 28.9505687 34.7315019 80.7676781 163.1528618 267.5604553 374.4941195 457.3321026 -4603 470.9581267 412.6740555 298.1225786 167.9127106 69.8877596 28.7343836 35.8276483 85.4309691 171.6943039 276.8644782 379.7485299 454.9000484 -4602 462.4593070 402.5929826 292.1619606 166.6608553 70.0792351 28.6139159 36.4923315 89.3663555 179.8851188 286.6236451 386.1607971 453.7510375 -4601 455.1823857 392.8092016 285.6593499 165.0285073 70.4598522 28.5676401 36.5624809 92.0644792 186.9950604 296.1694009 393.3444601 453.9734308 -4600 449.6661821 383.9498507 279.0467110 163.0779667 70.9661506 28.5964611 35.9255959 93.0335646 192.3134331 304.9881801 401.1902523 455.8414912 -4599 446.1966952 376.4858646 272.7605151 160.9240343 71.5013599 28.7028296 34.6605541 92.1208729 195.3662708 312.5996630 409.4566386 459.3956745 -4598 445.3806416 371.1216958 267.3291470 158.7058686 71.9434987 28.8686305 32.8978175 89.1923225 195.4158130 318.1069772 417.6928527 464.8239247 -4597 447.3186174 368.0864354 263.0263766 156.5584587 72.2183056 29.0734451 30.8987081 84.6158255 192.3460817 320.9538803 425.4193151 471.9820639 -4596 452.0533813 367.5875548 260.1002882 154.6305455 72.2846834 29.2767587 28.9105653 78.9503048 186.3197130 320.5958588 431.9475459 480.5500779 -4595 459.5664773 369.8918677 258.8487159 153.1040056 72.1341565 29.4231900 27.1295720 72.8660587 177.8187675 316.5614446 436.3024891 489.9216092 -4594 469.3792373 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276.1571773 160.4381023 73.8563207 31.9609011 32.3311184 76.1996083 167.3420806 288.0204820 403.5649155 474.1531449 -2072 471.9460237 393.0319574 276.4924716 159.9786671 73.2885904 31.3710638 31.3509826 74.4355199 165.2519435 286.9649467 404.6923957 477.2592737 -2071 475.3685192 395.3839963 277.2412421 159.6778912 72.6845825 30.7500384 30.4574759 72.8578700 163.2157933 285.5938763 405.2403974 479.9534858 -2070 478.5299600 397.8804571 278.2700369 159.5255833 72.0726896 30.1209541 29.6900532 71.5950480 161.4946227 284.1972200 405.3248915 482.0640866 -2069 481.1695100 400.2256707 279.4026031 159.4846004 71.4823981 29.5104633 29.0637211 70.6985151 160.2496724 283.0314530 405.1434382 483.5561522 -2068 483.1816337 402.2292924 280.4957442 159.5139194 70.9379717 28.9430760 28.5746972 70.1474108 159.5057485 282.2207392 404.8650827 484.4993377 -2067 484.3228953 403.4962747 281.2687598 159.5372290 70.4762124 28.4506083 28.2188352 69.9456803 159.3869676 282.0653702 404.8290863 485.0021151 -2066 484.8369689 404.1914590 281.7670573 159.5484275 70.1008929 28.0420427 27.9691931 69.9694995 159.6618675 282.3388364 404.9717283 485.2165290 -2065 484.7775606 404.2229383 281.8676413 159.4988652 69.8337504 27.7381387 27.7995100 70.1289513 160.2352257 283.0487828 405.4372489 485.3186878 -2064 484.2855066 403.6437689 281.5508628 159.3678951 69.6841737 27.5493894 27.6845041 70.3288460 160.9624259 284.0928053 406.2469876 485.4435081 -2063 483.7079926 402.7955983 280.9882307 159.1823492 69.6403291 27.4723235 27.5979830 70.4380229 161.5545006 285.1177000 407.1920935 485.6906623 -2062 483.2365329 401.8449727 280.2526393 158.9480835 69.6972638 27.5074406 27.5217757 70.3717402 161.8421148 285.9403216 408.1905679 486.1437565 -2061 482.9609245 400.9136993 279.4247530 158.6845820 69.8452759 27.6495668 27.4571350 70.1142985 161.7582857 286.4487312 409.1461997 486.7932570 -2060 483.1970682 400.4402990 278.7970978 158.4667408 70.0500671 27.8754355 27.4080357 69.6257991 161.0908340 286.2493768 409.6929298 487.5822808 -2059 483.9100277 400.4594125 278.4245954 158.3195191 70.3018189 28.1751936 27.3929543 68.9669771 159.9027045 285.3382765 409.7488132 488.4151983 -2058 485.0197671 401.0253890 278.4035210 158.2882224 70.5848988 28.5302416 27.4406150 68.2446384 158.3213972 283.7334227 409.1765172 489.1067731 -2057 486.5176771 402.2993799 278.9004213 158.4370836 70.8788855 28.9168648 27.5758859 67.5494465 156.4279261 281.3700784 407.7521838 489.4488481 -2056 488.1134198 404.1121264 279.8845416 158.7842799 71.1828607 29.3231803 27.8264219 67.0250451 154.5009669 278.5125065 405.5219170 489.2274748 -2055 489.4315957 406.1572911 281.2310219 159.3198691 71.5041470 29.7452596 28.2144630 66.8046990 152.8508804 275.5396054 402.6772445 488.2832977 -2054 490.3281024 408.4234971 283.0031514 160.0788891 71.8292454 30.1652397 28.7574327 66.9700311 151.6154502 272.5597273 399.1901779 486.4544541 -2053 490.3332485 410.3090349 284.8371074 160.9699494 72.1806772 30.5977655 29.4602658 67.6047135 151.1081000 270.1346178 395.5874308 483.8122035 -2052 489.2703429 411.5771097 286.5973938 161.9583085 72.5559187 31.0399032 30.3290907 68.7532830 151.4534225 268.4800979 392.0867619 480.4074141 -2051 487.0409673 411.9155571 288.0321059 162.9585542 72.9611082 31.4986107 31.3485274 70.3987577 152.7077474 267.8118329 389.0235946 476.4662483 -2050 483.6957530 411.1334095 288.9289432 163.8841007 73.3972438 31.9755232 32.4877999 72.4822440 154.8410903 268.2267625 386.6542514 472.2613658 -2049 479.2447763 408.9343101 288.9750390 164.6151428 73.8782646 32.4792252 33.7047777 74.9403632 157.8655568 269.9103669 385.3241508 468.1033817 -2048 474.2131411 405.7204553 288.2915887 165.1304336 74.3800877 32.9871863 34.9202335 77.5635956 161.4242279 272.4850599 384.8813841 464.2496201 -2047 468.7187769 401.3556216 286.6496979 165.3190723 74.9142758 33.4989390 36.0506609 80.2102946 165.4446227 276.0595134 385.6024720 460.9976807 -2046 463.3179206 396.3351897 284.2438995 165.1714847 75.4513355 33.9840324 36.9780271 82.5919242 169.5009056 280.2357063 387.3360164 458.5981952 -2045 458.4312039 391.0920736 281.2901626 164.7021493 75.9604061 34.4149746 37.6082483 84.4686997 173.2386540 284.6845837 389.9397478 457.2103991 -2044 454.4607333 385.9902147 277.9575261 163.9096440 76.4091133 34.7681560 37.8410896 85.5680027 176.2747918 289.1136096 393.3700602 457.0687627 -2043 451.8075270 381.5176428 274.5673173 162.8609899 76.7497645 35.0165912 37.6344011 85.6957503 178.2168045 293.0946827 397.3918221 458.2727089 -2042 450.8637207 378.2006680 271.5020502 161.6628036 76.9307278 35.1337609 37.0003240 84.7452362 178.6869160 296.1038913 401.6410182 460.8447860 -2041 451.8221348 376.2932456 268.9621894 160.3852127 76.9255712 35.1102502 35.9880266 82.7262643 177.4950660 297.8113261 405.8826818 464.7886470 -2040 454.7551905 376.0819677 267.2395069 159.1630807 76.7155431 34.9336846 34.7179809 79.8504002 174.6477090 297.8588377 409.6277480 469.8333939 -2039 459.7369740 377.8776805 266.6313707 158.1375408 76.2949491 34.5915140 33.3066585 76.3721094 170.2304132 295.8844912 412.2828870 475.6251858 -2038 466.3385049 381.4862741 267.1340085 157.3797909 75.7024104 34.0990265 31.8757142 72.6843587 164.7832044 292.1215839 413.5684034 481.6300460 -2037 474.2020060 386.9003867 268.8814238 156.9974410 74.9679369 33.4621493 30.5226438 69.1253596 158.7955223 286.7355948 413.0641326 487.2030557 -2036 482.5891954 393.7506875 271.8082618 157.0435747 74.1388565 32.7043652 29.3324062 66.0419011 152.9698640 280.3513541 410.7137400 491.6309570 -2035 490.7865333 401.5315927 275.7067837 157.4951568 73.2562798 31.8585842 28.3393000 63.6055577 147.8200501 273.6760321 406.8289282 494.5054285 -2034 497.7960589 409.4408386 280.2388498 158.3074314 72.3632740 30.9648758 27.6009964 62.0376475 143.9603866 267.6370311 401.9921061 495.4504104 -2033 503.1936688 417.0048091 285.1539091 159.4104751 71.4733372 30.0529278 27.1248161 61.3342468 141.5085382 262.6390136 396.7092249 494.5591358 -2032 506.1982197 423.1115344 289.7782799 160.6290894 70.6297742 29.1778226 26.9387317 61.5801548 140.8203623 259.4979130 391.9683296 492.1423538 -2031 506.8555310 427.4046892 293.7903522 161.8513151 69.8468024 28.3711659 27.0347992 62.6874817 141.7538212 258.2343988 388.1503834 488.6840166 -2030 505.1542490 429.4312919 296.7850255 162.9536842 69.1551350 27.6682268 27.4153155 64.6289307 144.2873588 258.9658731 385.6319556 484.6124856 -2029 501.4354288 428.9371704 298.3378270 163.7744530 68.6027858 27.1076194 28.0201785 67.2193324 148.1795946 261.6131198 384.7287913 480.5442056 -2028 496.1546565 426.1590098 298.4186710 164.2763500 68.2189142 26.7023004 28.8009278 70.3098169 153.1600689 265.8568499 385.2908859 476.7118107 -2027 489.8937269 421.4858353 297.0636926 164.4189539 68.0346288 26.4604375 29.6560710 73.6299916 158.8244837 271.3048395 387.1670955 473.4007663 -2026 483.1388694 415.2535533 294.3013885 164.1562268 68.0855669 26.3897733 30.4538931 76.8630349 164.7842074 277.6718221 390.3144311 470.8884073 -2025 476.5009460 408.2348634 290.5661923 163.5582155 68.3531666 26.4718160 31.0858552 79.6929275 170.5279178 284.3888678 394.3298821 469.2251011 -2024 470.5415644 401.0445741 286.1875653 162.6566669 68.8125387 26.6946750 31.4294269 81.7454433 175.5080668 290.9775921 399.0134654 468.6118852 -2023 465.6849519 394.2003360 281.4991314 161.5002519 69.4147525 27.0436635 31.4174311 82.7432379 179.2664060 297.0240215 404.1845135 469.1854221 -2022 462.3972742 388.3538148 276.9808090 160.1972440 70.0754141 27.4913473 31.0591052 82.5194709 181.3233668 301.9316250 409.4506700 470.9807485 -2021 461.0542470 384.0223591 273.0321239 158.8535327 70.7092080 28.0039122 30.4156244 81.0444755 181.3176608 305.1421360 414.4205993 474.0101611 -2020 461.7046363 381.3727520 269.8471677 157.5518126 71.2632923 28.5538547 29.6002415 78.5164231 179.2466264 306.3895086 418.7992513 478.1447389 -2019 464.4971102 380.8429488 267.8388958 156.4626885 71.6757935 29.0852144 28.7562239 75.2700587 175.1807575 305.1764323 421.8727602 483.0111464 -2018 469.1262809 382.3777577 267.1018719 155.6871880 71.9468749 29.5654160 28.0025057 71.7552517 169.6489241 301.5833078 423.2230387 488.0875705 -2017 475.1734269 385.8521184 267.6865874 155.3120973 72.0966999 29.9698868 27.4159267 68.3731452 163.2872339 295.9001332 422.5116052 492.7627638 -2016 481.9133917 390.9773312 269.6050563 155.4297279 72.1606453 30.2838244 27.0685220 65.5443899 156.9297481 288.7536650 419.5322536 496.2083430 -2015 488.6079046 397.2902088 272.6964459 156.0454170 72.1805807 30.5158063 26.9728722 63.4677419 151.2068763 280.9332791 414.5275742 497.9028593 -2014 494.1814505 403.8849094 276.5426885 157.0911066 72.2084741 30.6973486 27.1510954 62.3329200 146.8173009 273.5748020 408.2415603 497.4866369 -2013 498.0872732 410.2318479 280.8897870 158.5073755 72.2602102 30.8480127 27.6032944 62.1515808 143.9720037 267.2452747 401.2606644 494.9714858 -2012 499.5898938 415.3096693 285.1252201 160.1286984 72.3694298 31.0119347 28.3420141 62.9667158 142.9762252 262.7546107 394.5918666 490.6744862 -2011 498.7069451 418.5758639 288.7607021 161.7720131 72.5475645 31.2220750 29.3306964 64.6242676 143.6609451 260.2693197 388.9193339 485.3062254 -2010 495.4367827 419.6051025 291.4186609 163.3116678 72.8054127 31.5000478 30.5714062 67.1041566 146.0103220 259.9151454 384.6361226 479.3059050 -2009 490.3825754 418.3732470 292.7757776 164.5743021 73.1525157 31.8629036 31.9736209 70.1327466 149.6100772 261.4216773 381.9860090 473.4200313 -2008 483.9943940 414.9683738 292.6584282 165.4521908 73.5995393 32.3133348 33.4600410 73.5277568 154.2085154 264.5939035 381.0299252 468.0533597 -2007 477.0240157 409.9831395 291.2250890 165.9111776 74.1332746 32.8295043 34.9059178 76.9776346 159.3109701 268.9066444 381.5162901 463.5207743 -2006 470.0970343 403.9654709 288.6589119 165.9271269 74.7360586 33.3834459 36.1681570 80.1523142 164.4594667 273.9402655 383.2757400 460.0872546 -2005 463.8234701 397.5504395 285.2638032 165.5153377 75.3726849 33.9390444 37.1017028 82.6967559 169.1479481 279.2289368 386.0964220 457.9670325 -2004 458.7487584 391.4861172 281.5333325 164.7743957 75.9795511 34.4492322 37.6200659 84.3439372 172.8922285 284.2142134 389.5904986 457.1991725 -2003 455.3155920 386.3526542 277.8683562 163.7915145 76.4946982 34.8760109 37.6732796 84.8808179 175.2590705 288.4086034 393.4657615 457.8617159 -2002 453.7857561 382.5373661 274.5778083 162.6554230 76.8659121 35.1915395 37.2763293 84.2390726 175.9772728 291.4364812 397.4627150 459.9588580 -2001 454.2981412 380.5279321 272.1456304 161.5603603 77.0381208 35.3587190 36.5541412 82.6110347 174.9753359 292.8191465 400.9570866 463.1394167 -2000 456.7729229 380.3752726 270.6885381 160.5854889 77.0041470 35.3673821 35.6021339 80.2110865 172.3908196 292.4486102 403.6835466 467.1807798 -1999 460.8852084 382.0562501 270.3519512 159.8531094 76.7734873 35.2093845 34.5613827 77.4348858 168.6513775 290.3775382 405.2406047 471.5436736 -1998 466.1554469 385.4275563 271.2116851 159.4665975 76.3717837 34.8844151 33.5530239 74.6846748 164.3209494 286.8652742 405.3152062 475.5981152 -1997 471.8871763 389.9953209 273.0767365 159.4306885 75.8455336 34.4161526 32.6512613 72.2754214 160.0436471 282.5438160 404.0276599 478.8555359 -1996 477.4066843 395.1973161 275.6821163 159.7068667 75.2352528 33.8334823 31.8971913 70.4076427 156.3421836 278.0876346 401.7078359 481.0059602 -1995 481.9428820 400.4240470 278.7829496 160.2751312 74.5735876 33.1634342 31.3556552 69.3192100 153.7618721 274.1945467 398.7102599 481.7001518 -1994 485.1326730 404.9674289 281.8511454 160.9575916 73.8958111 32.4529500 30.9915242 68.9282090 152.4107320 271.4053729 395.8084191 481.3142425 -1993 486.6195120 408.2747605 284.5278974 161.6571728 73.2272433 31.7332682 30.8196199 69.2789422 152.4682576 270.1169330 393.4761880 480.0108676 -1992 486.4742643 410.0455797 286.4903866 162.2503094 72.5912426 31.0350871 30.8026237 70.2453145 153.8050541 270.4013584 392.0891770 478.2210028 -1991 484.9616840 410.1212648 287.4434624 162.6072256 72.0188648 30.3886709 30.8706804 71.6205975 156.1707205 272.1974311 391.9461724 476.4486537 -1990 482.4669307 408.6407493 287.3157995 162.6683028 71.5317575 29.8090689 30.9524239 73.1944357 159.2575864 275.2649253 393.0716428 475.0259645 -1989 479.4830327 405.9835159 286.2182082 162.4251859 71.1425020 29.3039293 30.9698555 74.7189454 162.6626959 279.2052983 395.3065283 474.1895003 -1988 476.6100126 402.6187306 284.3018512 161.8643671 70.8565526 28.8782281 30.8121412 75.8451622 165.8508114 283.5482207 398.5195152 474.2677300 -1987 474.2591644 399.0154276 281.8319125 161.0348544 70.6637625 28.5315547 30.4298470 76.3595044 168.4296175 287.8704521 402.4624244 475.3502586 -1986 473.0051166 395.9097474 279.2849874 160.0477115 70.5203856 28.2476881 29.8043769 76.0600071 169.8790312 291.4843274 406.6401559 477.4670486 -1985 473.0812547 393.5937162 276.8641984 158.9549189 70.4036243 28.0258293 28.9540780 74.8801260 169.9530186 294.0627506 410.8437871 480.6482809 -1984 474.8450600 392.6532750 275.0185246 157.8962229 70.2614469 27.8414482 27.9510735 72.8673542 168.3922713 295.0040094 414.4780575 484.7259109 -1983 478.1743037 393.2701608 274.0105670 157.0026596 70.0699304 27.6752938 26.9240443 70.3344739 165.4223862 294.1387644 417.0478249 489.2461572 -1982 483.0449139 395.5950933 274.0024675 156.3523203 69.8197573 27.5125317 25.9417476 67.4833044 161.2049213 291.3349875 418.1804552 493.9126431 -1981 488.8967424 399.5089733 275.1262066 156.0686195 69.5179013 27.3348118 25.1271540 64.7717784 156.4083202 286.9088173 417.4925179 497.9495740 -1980 495.1628976 404.7743844 277.3828838 156.2120665 69.1855620 27.1385601 24.5415864 62.4945950 151.6024745 281.3222419 414.8884554 500.7655572 -1979 501.0147740 410.7941431 280.5445903 156.7730253 68.8598477 26.9385600 24.2264041 60.8962252 147.4248699 275.3768152 410.7087916 501.9045977 -1978 505.6555040 416.9363763 284.3588544 157.7261470 68.5701406 26.7532075 24.2180399 60.1557012 144.3825347 269.8253492 405.4229562 501.0720283 -1977 508.2508809 422.3623163 288.4227484 158.9989727 68.3479058 26.6114688 24.5577568 60.4307947 142.9359676 265.4638399 399.7255857 498.2010772 -1976 508.4878955 426.2896488 292.1628127 160.4139051 68.2292343 26.5586146 25.2257949 61.6429301 143.1262718 262.7539709 394.4525259 493.8435277 -1975 506.0733278 428.0812086 295.1441218 161.8590856 68.2398369 26.6253908 26.2519503 63.8546758 145.1091066 262.0458056 390.1212218 488.3151957 -1974 501.2274041 427.3664120 296.9121085 163.1692125 68.4152959 26.8491089 27.6032245 66.9351931 148.7161827 263.3593261 387.1477301 482.2397855 -1973 494.4043917 424.0730078 297.1438655 164.1976938 68.7899583 27.2538143 29.2089987 70.6844965 153.6731331 266.5413842 385.7384724 476.1824542 -1972 486.1267651 418.4092962 295.7228731 164.8512862 69.3909821 27.8481821 30.9772211 74.8796376 159.6749722 271.3368519 385.8846199 470.5118246 -1971 477.0908393 410.9551462 292.8043015 165.0935515 70.2198730 28.6181727 32.7714191 79.1952178 166.2559383 277.2890296 387.3733461 465.5036260 -1970 468.0627616 402.3012933 288.5259213 164.8512222 71.2703234 29.5421437 34.3692483 83.1232585 172.8027560 283.9703294 390.1761988 461.6139446 -1969 459.6687047 393.2572366 283.3712888 164.1818652 72.4770589 30.5733756 35.6250465 86.2945047 178.7812312 290.8568948 393.9727319 458.9489192 -1968 452.6636491 384.6501136 277.8204736 163.1280028 73.7494616 31.6627056 36.3754382 88.2178875 183.4561874 297.3230173 398.5461213 457.8272762 -1967 447.6618273 377.1367781 272.2924692 161.7392155 74.9767188 32.7583934 36.5287788 88.5142971 186.1693772 302.8107036 403.7553170 458.5679788 -1966 445.1854216 371.4786187 267.3996363 160.1877883 76.0249653 33.7924522 36.1581734 87.1224247 186.4004349 306.5467610 409.0660542 461.1808015 -1965 445.5570337 368.1305482 263.5312961 158.6164791 76.8047206 34.7051249 35.3892633 84.1892647 183.8886463 307.9140132 414.0039779 465.6368566 -1964 449.0970165 367.5714272 261.0835700 157.1959935 77.2576030 35.4293671 34.3674806 80.0236694 178.5532017 306.2282870 417.8615143 471.7630585 -1963 455.4197345 369.8892828 260.3497997 156.1549646 77.3993754 35.9167077 33.3210451 75.3959790 171.1882635 301.3928707 419.7160158 478.6403255 -1962 464.2763482 375.2156685 261.5423398 155.6491513 77.2721688 36.1382197 32.3392292 70.7865005 162.4843201 293.4691530 418.8054902 485.4721662 -1961 474.6158395 383.0880521 264.6024212 155.7816305 76.9608336 36.1056916 31.5154830 66.7666177 153.6881728 283.4655080 414.8514946 491.0378326 -1960 485.2405378 392.9766998 269.4617342 156.6297982 76.5347094 35.8422690 30.9066319 63.7068276 145.8428458 272.5821011 407.9606899 494.1866519 -1959 494.7423408 403.8692243 275.7087503 158.1242012 76.0481983 35.3975624 30.5379629 61.7784563 139.7395891 262.2788552 399.0947458 494.3304971 -1958 501.8856780 414.5512136 282.7445021 160.1053669 75.5267974 34.8256800 30.4304747 61.0331729 135.8240520 253.7730055 389.5937146 491.5379819 -1957 505.6578131 423.6864505 289.8461974 162.3750051 74.9802829 34.1801985 30.6344954 61.5492801 134.4081693 247.9924004 380.7920857 486.2903480 -1956 505.8763640 430.2251874 296.2161739 164.6593306 74.4076955 33.5151666 31.1605875 63.2449284 135.3930146 245.2485337 373.7442602 479.6398224 -1955 502.7731219 433.3574982 301.0469449 166.6739414 73.8258765 32.8834177 32.0063146 66.0297418 138.6231256 245.6082501 369.1515635 472.6417938 -1954 496.8962950 432.8887922 303.8818045 168.2439944 73.2625988 32.3208441 33.1647917 69.8249326 143.8853329 248.8195083 367.1010579 465.9363708 -1953 489.1113411 429.0190414 304.3852933 169.1922826 72.7715334 31.8558018 34.5322933 74.3572610 150.7455180 254.4469317 367.5329050 460.1517907 -1952 480.2037415 422.3171700 302.5788089 169.4558146 72.4091062 31.4917572 35.9655438 79.3191886 158.7637018 262.0027345 370.1482642 455.5435746 -1951 470.9225211 413.6298556 298.7954352 169.0619711 72.2184123 31.2137401 37.2758005 84.3152735 167.4082270 270.9156341 374.5238819 452.1884339 -1950 461.9563283 403.7837907 293.4303516 168.0466288 72.2295955 31.0024053 38.2167869 88.8218596 176.0624708 280.6708612 380.3854506 450.2392374 -1949 454.1197923 393.7926501 287.0817708 166.4903312 72.4237816 30.8318660 38.5193820 92.1650287 183.8783456 290.5879479 387.4368828 449.9367844 -1948 447.8013840 384.3794763 280.3519508 164.5357090 72.7421933 30.6966155 38.1011401 93.9756630 190.3051396 300.1765227 395.3707041 451.2552167 -1947 443.7943755 376.3796338 273.7867594 162.2671057 73.0930768 30.5969331 36.8597346 93.6420998 194.3370613 308.6461966 404.0077547 454.6270364 -1946 442.4601934 370.3805151 267.9349049 159.8599291 73.3593362 30.5305079 34.9776162 91.1316245 195.4152659 315.2696094 412.9052955 460.0482134 -1945 444.1399817 366.8351396 263.2021480 157.4706622 73.4479432 30.4842541 32.7045786 86.6373775 193.1092680 319.2474042 421.5415541 467.5221505 -1944 449.0298915 366.1367911 259.9770849 155.2947642 73.2974720 30.4180379 30.3430583 80.7171127 187.3925164 319.7674886 429.0696782 476.7534904 -1943 457.0843091 368.4476781 258.4725509 153.4914734 72.9088563 30.2917359 28.1278610 74.0897017 178.7396298 316.3545533 434.5872342 487.2116875 -1942 467.7548988 373.7546973 258.9006962 152.2674049 72.3291824 30.0637091 26.2594478 67.6823799 168.3491368 309.1080369 436.9732715 497.6881937 -1941 480.4148749 381.8683702 261.2672667 151.7115315 71.6318468 29.7266699 24.7717375 62.0052554 157.3426148 298.6595509 435.6325489 507.1202003 -1940 493.8979226 392.3280769 265.5211636 151.9108603 70.8937700 29.2868908 23.6876748 57.5000136 147.0311206 286.2928292 430.3817338 514.1198865 -1939 506.6443692 404.2383001 271.3711059 152.8603149 70.1865424 28.7773523 23.0058831 54.3958910 138.5111165 273.7249518 421.9071403 517.5884693 -1938 517.3911449 416.6570222 278.4191890 154.4673970 69.5450977 28.2376113 22.6987977 52.6570995 132.2378925 262.2868908 411.4108312 517.2352953 -1937 524.8264452 428.2268667 285.9993333 156.5604485 68.9968829 27.7192121 22.7715295 52.2703697 128.5440179 253.2094356 400.4889964 513.3429061 -1936 528.1420112 437.6936899 293.4204541 158.9491651 68.5491073 27.2661286 23.2489878 53.2222474 127.5240816 247.1872344 390.4871808 506.6570597 -1935 527.3979570 444.1084511 299.9101403 161.3710986 68.2109906 26.9308669 24.1240130 55.3593884 128.9018238 244.3060867 382.3966751 498.4433993 -1934 522.9365865 446.8302076 304.8046835 163.6065100 68.0019877 26.7553085 25.4027116 58.6048847 132.4783555 244.4803247 376.7235101 489.6969973 -1933 515.3854451 445.6619485 307.6265314 165.4797544 67.9546887 26.7734396 27.0743047 62.8634134 138.0097468 247.4297464 373.5631240 481.1355409 -1932 505.8012239 441.0340195 308.1810880 166.8506658 68.1081202 27.0033150 29.0425331 67.8434696 144.9685120 252.5453936 372.6788634 473.3640935 -1931 494.9174957 433.4641154 306.4698695 167.6532241 68.5028880 27.4438556 31.1980671 73.3059836 152.9985795 259.4054369 373.7841045 466.5986345 -1930 483.4669384 423.7709699 302.7954722 167.8942907 69.1548980 28.0694688 33.3873677 78.9346944 161.6556320 267.4936023 376.4597441 460.8915158 -1929 472.3961258 412.9618642 297.5766689 167.5698513 70.0601784 28.8390992 35.3388685 84.1380914 170.1892690 276.1536544 380.3907123 456.5327990 -1928 462.1406413 401.7845898 291.3183929 166.7533772 71.1729665 29.7059905 36.8818651 88.5623689 178.1847506 285.0157906 385.3005621 453.4902368 -1927 453.3895037 391.1287496 284.5991829 165.5151764 72.4073423 30.6200294 37.8171652 91.6770142 184.9302630 293.4961118 390.9439487 451.9788399 -1926 446.6972775 381.7149330 277.9500248 163.9418026 73.6484440 31.5374305 38.0427958 93.0694372 189.7708817 301.0476834 397.1242180 452.2089155 -1925 442.4597094 374.0800255 271.8241419 162.1411814 74.7734612 32.4206169 37.5892432 92.5486310 192.1849448 307.1426846 403.6162812 454.3159519 -1924 440.8872752 368.6839841 266.6994091 160.2950719 75.6659473 33.2218539 36.6461213 90.2954151 191.9162341 311.1924116 409.9211919 458.1517445 -1923 442.3147253 365.8499885 262.8195661 158.5008984 76.2592904 33.8987052 35.3420817 86.4390301 188.6635173 312.5984816 415.6884269 463.8258659 -1922 446.4712512 365.6901095 260.4859634 156.9801145 76.5347289 34.4008371 33.9628476 81.7331355 182.9663044 311.0590177 420.0903335 470.6358638 -1921 453.0942981 368.1683058 259.7849734 155.8526661 76.5271291 34.7007242 32.6453007 76.7273870 175.4335619 306.5461834 422.5328418 478.0099020 -1920 461.7076794 373.1648913 260.7793552 155.2339959 76.2934022 34.7846498 31.4828203 71.9458140 166.9083290 299.3677079 422.4544001 485.1321943 -1919 471.3210172 380.1687625 263.3448112 155.1918617 75.9153769 34.6694398 30.5478696 67.8865608 158.5286969 290.4898089 419.6966818 490.9597996 -1918 480.9822882 388.6155009 267.2844002 155.7286038 75.4558229 34.3841578 29.8537839 64.7730910 151.1002544 280.9586928 414.5345914 494.7473675 -1917 489.7770743 397.7698112 272.2427687 156.7611724 74.9591364 33.9707561 29.3885398 62.6484238 145.1200969 271.8143290 407.7158416 496.1920393 -1916 496.6203882 406.6249483 277.7332816 158.1781006 74.4609746 33.4751201 29.1759451 61.6063113 141.0786978 264.1441467 400.2472493 495.1808158 -1915 501.0323416 414.4053013 283.2701325 159.8196305 73.9707308 32.9374731 29.2063116 61.5617277 138.9948466 258.4655959 393.0612047 492.1814247 -1914 502.8990807 420.4226964 288.3045963 161.4870660 73.4969903 32.3993888 29.4568661 62.3776315 138.7210817 255.0111521 386.9685877 487.9493273 -1913 502.2022542 424.1613796 292.4048435 163.0387858 73.0507517 31.8907252 29.9329656 64.0189316 140.2024078 253.8886565 382.4362672 483.0281201 -1912 499.4604005 425.5030417 295.2245808 164.3153070 72.6473045 31.4389607 30.5780575 66.2748381 143.0779881 254.8321217 379.6867119 478.1354393 -1911 495.2575469 424.6732552 296.6791065 165.2442654 72.2991392 31.0530004 31.3332465 68.9582287 147.0005544 257.4540168 378.6093820 473.6704933 -1910 490.0473522 421.8611087 296.6825201 165.7592098 72.0329524 30.7429179 32.1252917 71.8835460 151.6969369 261.4936461 379.1428931 469.9247554 -1909 484.4505087 417.7096369 295.5115318 165.8947018 71.8493263 30.4954872 32.8683297 74.8148231 156.7470201 266.4212544 380.8937391 466.9883070 -1908 479.0166006 412.6890334 293.3127538 165.6361356 71.7599739 30.3059023 33.4348205 77.4282241 161.7019435 271.8426237 383.7159245 465.1039862 -1907 474.0243720 407.3517502 290.4897994 165.0910655 71.7449294 30.1552096 33.7927327 79.6115649 166.3216007 277.3887398 387.2134449 464.1008801 -1906 469.8337641 402.1025889 287.2679662 164.2909459 71.7926897 30.0370849 33.8653359 81.1242250 170.2417266 282.7289876 391.2370607 464.0972598 -1905 466.7979042 397.5021883 284.0623900 163.3424728 71.8610746 29.9333013 33.6393457 81.8257497 173.1126400 287.3960888 395.4115730 465.0375258 -1904 464.8015945 393.5923680 281.0019932 162.3096372 71.9357706 29.8466295 33.1764031 81.8069730 174.9832480 291.3545513 399.6095499 466.7439438 -1903 464.0344768 390.7167200 278.3716910 161.2831423 71.9812610 29.7649274 32.5217334 81.0736455 175.6730591 294.2577896 403.5079491 469.1203044 -1902 464.4154173 388.8976791 276.2563054 160.3149023 71.9870033 29.6878698 31.7469468 79.7570590 175.2530933 296.0420625 406.9520889 472.0122933 -1901 465.6330470 388.0079793 274.6945026 159.4687917 71.9533533 29.6151290 30.9603535 78.1389246 174.0394370 296.8257125 409.7765212 475.0769020 -1900 467.5776145 388.0095817 273.7045236 158.7736181 71.8839575 29.5465533 30.2081249 76.3465800 172.1652046 296.6283487 411.8735285 478.1628055 -1899 470.0163571 388.7391693 273.2312043 158.2413943 71.7918097 29.4855450 29.5334378 74.5362292 169.8718001 295.6200323 413.2256892 481.0848104 -1898 472.5425211 389.8771555 273.1417067 157.8714996 71.7008697 29.4418419 28.9851239 72.9091950 167.5361991 294.1547923 413.9177229 483.5929707 -1897 475.0794993 391.3303312 273.3717251 157.6473917 71.6214599 29.4201295 28.5561923 71.4745250 165.2238256 292.3338153 414.0175478 485.6762951 -1896 477.5290866 392.9422056 273.8040745 157.5329040 71.5671921 29.4294024 28.2326736 70.2223806 162.9985622 290.3097293 413.6788079 487.3761306 -1895 479.6345947 394.4835711 274.3285076 157.5133924 71.5519473 29.4762130 28.0300288 69.2374613 161.0671106 288.3391599 413.0342881 488.5904075 -1894 481.6154689 396.0463453 274.9288877 157.5545745 71.5724207 29.5619639 27.9016366 68.3730619 159.2183572 286.2909834 412.1470100 489.5418580 -1893 483.5268893 397.6762559 275.6237944 157.6559302 71.6240588 29.6824969 27.8371860 67.6023719 157.4104600 284.1270670 411.0065781 490.2606130 -1892 485.2983692 399.2913358 276.3641953 157.8048527 71.7095040 29.8382691 27.8346818 66.9375570 155.6970996 281.9380206 409.6869034 490.7468742 -1891 487.2268066 401.2130759 277.3287392 158.0354220 71.8065141 30.0117563 27.8729795 66.2949794 153.8688830 279.4271682 407.9752742 491.0514056 -1890 489.2817937 403.4357331 278.5242240 158.3515962 71.9121120 30.1977920 27.9519037 65.6906932 151.9640535 276.6317481 405.8736215 491.1409457 -1889 491.2894991 405.9744092 280.0497234 158.8094978 72.0179956 30.3818582 28.1064421 65.2507765 150.1635472 273.6393097 403.2573586 490.7537605 -1888 493.2902551 408.8795938 281.9341371 159.4111174 72.1169598 30.5569631 28.3249477 64.9503616 148.4371802 270.4325613 400.1258299 489.9056155 -1887 495.0076122 412.0695377 284.2331678 160.2041430 72.2026359 30.7110886 28.6470962 64.9334492 147.0213684 267.2003422 396.4441828 488.3257017 -1886 495.9471277 415.0451933 286.7008511 161.1455001 72.2920298 30.8561321 29.1045048 65.3361827 146.2522000 264.4327696 392.5796975 485.9347063 -1885 496.0573663 417.8033599 289.3746434 162.2507040 72.3707056 30.9825091 29.7106476 66.1916088 146.1622260 262.1531969 388.5387119 482.7001727 -1884 494.8735681 419.6734491 291.8380405 163.4150837 72.4618848 31.1129731 30.4892526 67.6039628 147.0533471 260.8922171 384.8662374 478.7588908 -1883 492.2174253 420.3310163 293.8771120 164.5834658 72.5702855 31.2562510 31.4648539 69.6458850 149.0664495 260.8643876 381.8019393 474.2155215 -1882 488.1260652 419.4632701 295.1649771 165.6368236 72.7102240 31.4277535 32.6155732 72.2712144 152.1929480 262.2062711 379.6735925 469.4177250 -1881 482.7048497 416.8730432 295.4337177 166.4712705 72.8994619 31.6394182 33.9126219 75.4283565 156.4066067 264.9880286 378.6976734 464.6502369 -1880 476.0859318 412.4212819 294.4350577 166.9833351 73.1633547 31.9010426 35.3077512 79.0441514 161.6764600 269.2749094 379.0583866 460.1638941 -1879 468.8441422 406.4728831 292.1834714 167.1026691 73.5099342 32.2026982 36.6658216 82.8143974 167.6042189 274.7439943 380.7093598 456.3093964 -1878 461.3665147 399.2968327 288.6962154 166.7715387 73.9512891 32.5340251 37.8456868 86.4579116 173.8976404 281.2262950 383.6770029 453.3357548 -1877 454.0556660 391.2944604 284.1372333 165.9751553 74.4823148 32.8787780 38.6984881 89.6541467 180.2035871 288.4866446 387.9138666 451.4289598 -1876 447.7788485 383.3247317 278.9388587 164.7352217 75.0517526 33.2028770 39.0006630 91.7892516 185.6804734 295.8571388 393.2385612 451.0113161 -1875 442.9027823 375.8312677 273.4058867 163.0966524 75.6081710 33.4948320 38.6703871 92.5380274 189.8597085 303.0060956 399.5851071 452.2612427 -1874 440.0600515 369.5219995 268.0184091 161.1557025 76.0616165 33.7331968 37.6771455 91.5397031 191.9955910 309.2351733 406.6984825 455.4519697 -1873 439.9266467 365.1172530 263.2735817 159.0395113 76.3128656 33.8912628 36.0878012 88.5855879 191.3138333 313.6523074 414.1873018 460.8602674 -1872 442.8548200 363.0997592 259.5841765 156.9170485 76.2945414 33.9422465 34.1137433 83.9122552 187.4876196 315.4564745 421.4449715 468.4346385 -1871 448.9955517 363.8299214 257.3064497 154.9810331 75.9822767 33.8526745 32.0034430 78.0643006 180.6295266 313.9465598 427.6072858 477.8162170 -1870 458.6894698 367.9171725 256.9155822 153.4557747 75.3730049 33.5734815 29.9363831 71.5998999 170.9802906 308.2794091 431.4129149 488.4761358 -1869 471.1686734 375.1572390 258.5007798 152.5143517 74.5538471 33.1036398 28.0943708 65.3959057 159.9246812 298.9329719 431.8981942 499.0720838 -1868 485.7879709 385.6167894 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525.0941543 460.1360917 316.6844996 167.4082033 67.2006287 26.2843041 26.5899788 60.5142223 131.5534749 236.9206332 363.3176863 478.7938939 -1860 514.4534777 456.1564397 318.7729632 169.1633856 66.6435709 25.9368417 28.6030193 66.2854070 139.7680063 243.0690549 362.4861878 469.9088752 -1859 501.6544839 447.6982672 317.6050539 170.1677711 66.3676198 25.8780209 31.0633913 73.1178378 149.8440251 251.7855868 364.3364529 462.2173109 -1858 487.6813566 435.8293204 313.4594592 170.4176414 66.4612744 26.0976095 33.7859681 80.6403050 161.2391688 262.3856885 368.2513942 455.7182490 -1857 473.2582066 421.4615140 306.6484337 169.9060679 67.0154349 26.5659461 36.4706517 88.3432586 173.4370450 274.4307334 373.9149785 450.4624785 -1856 459.3807424 406.0488757 298.0142128 168.7286248 68.0345913 27.2175920 38.7059323 95.4303497 185.5424314 287.1444067 380.8235020 446.5307702 -1855 446.8568735 390.7037970 288.2821034 166.9409068 69.4689801 28.0028244 40.0632171 101.0023455 196.6581801 299.9873786 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278.3200565 417.4664291 506.9573214 977 506.7264415 411.8725580 278.7949104 155.6551092 69.4147968 27.7424739 23.6681165 57.3938269 141.2871041 270.7348985 411.9253600 508.2974770 978 513.2456643 420.1023784 283.7101311 156.8388630 69.0353229 27.4678656 23.5734855 56.3357645 137.2449287 263.3483476 404.9063317 507.4284096 979 517.9040851 428.0277900 289.1392629 158.3901475 68.6930914 27.1995099 23.7646610 56.1804013 134.6863537 257.0543976 397.3036695 504.3714691 980 519.9185906 434.7923911 294.6885152 160.2351578 68.3999277 26.9608243 24.2949549 57.0754625 133.9728742 252.5335480 389.8577706 499.2203121 981 519.0025361 439.5233353 299.7371373 162.1885035 68.1796482 26.7973772 25.1769150 58.9972462 135.1448927 250.1746041 383.4031450 492.6456747 982 515.1446589 441.6299892 303.7902738 164.1026679 68.0515965 26.7451492 26.4384584 61.9576275 138.2025432 250.1173016 378.4073155 485.2121849 983 508.3610775 440.3869736 306.1560945 165.7735679 68.0684724 26.8548444 28.1003457 65.9823210 143.2215311 252.6019582 375.3961560 477.5270938 984 499.4407979 436.0874200 306.6697445 167.0910333 68.2612499 27.1481074 30.1081343 70.8697139 149.7977978 257.1531319 374.2061946 470.0781677 985 488.8423420 428.7368009 304.9891167 167.9040837 68.6984784 27.6504827 32.3720728 76.4399047 157.7407575 263.6644986 374.9383192 463.2639897 986 477.2128254 418.9403176 301.2518449 168.1784265 69.4151915 28.3530501 34.7550793 82.4187798 166.6833482 271.7303662 377.3040839 457.2155352 987 465.4065430 407.5137955 295.7162804 167.8673436 70.4340404 29.2296777 36.9862683 88.2506666 175.9766307 280.8318710 381.1068323 452.2617605 988 454.1101832 395.3058037 288.8306655 166.9854240 71.7281373 30.2369382 38.7950703 93.3804937 185.0104541 290.5149209 386.1509250 448.6005978 989 443.9453114 383.1080321 281.0913320 165.5628764 73.2260310 31.3347968 39.9312027 97.2150379 193.1243437 300.3545106 392.3328007 446.4782155 990 435.9465494 372.0370209 273.1956747 163.6593558 74.7751772 32.4692527 40.1405527 98.9129577 199.1552981 309.5169663 399.5060257 446.4489262 991 430.6411533 362.7373016 265.6719534 161.3760300 76.2064666 33.6061645 39.4405174 98.1051519 202.3330600 317.3979083 407.5556660 448.8100864 992 428.6899750 355.9546550 259.1150235 158.8808676 77.3372476 34.6889486 38.0086583 94.6693755 201.7869289 323.0072508 416.0956735 453.8598589 993 430.8199133 352.4564352 254.1084741 156.3938215 78.0239185 35.6312745 36.1274301 88.8507123 196.7781849 325.0186193 424.3844196 461.8162499 994 437.1499995 352.5775415 251.0346874 154.1752720 78.2385469 36.3500720 34.1684705 81.5959615 187.6165493 322.4809580 431.2753806 472.2221888 995 447.7160863 356.7380212 250.3245920 152.5212469 78.0315362 36.7666946 32.3840103 73.9594222 175.1976437 314.6359703 435.1191626 484.1391914 996 462.0762397 365.1111694 252.2683374 151.6839217 77.5223676 36.8502965 30.8895065 66.8777185 161.0925790 301.6810496 434.3076346 496.0213267 997 478.8898035 377.3706723 256.9510787 151.8545678 76.8633212 36.6257135 29.7314628 61.0747825 147.3267961 285.2038217 427.9213110 505.6589183 998 496.1668826 392.8158186 264.3246381 153.1501485 76.1778474 36.1452001 28.9182461 56.9115034 135.5769562 267.5617938 416.2087622 510.8414081 999 511.6605481 410.1604019 273.9555704 155.4876941 75.5281021 35.4810985 28.4305483 54.3831867 126.7258650 251.1506989 400.9639488 510.4936058 1000 522.8146744 427.3970062 285.0851638 158.6930618 74.9288184 34.7009191 28.3198973 53.5604558 121.4082754 238.1113843 384.7729099 504.5394587 1001 528.1046576 442.1691400 296.4507861 162.3710084 74.3488667 33.8829059 28.6328553 54.3721697 119.6516526 229.6090204 370.3341954 494.6299001 1002 527.4328706 452.7788358 306.8844800 166.1317373 73.7341172 33.0845096 29.4304832 56.7610741 121.1905949 225.7476947 359.1515651 482.8029849 1003 521.2727484 457.5475237 314.8597421 169.4868770 73.0839323 32.3889338 30.7902849 60.7610227 125.9331679 226.5926911 352.2839372 471.0203238 1004 511.1546083 456.4286615 319.5794446 172.1166526 72.4232481 31.8515753 32.7274242 66.2566151 133.4191372 231.3859228 349.4633598 460.4453157 1005 498.4418819 449.8244549 320.4857922 173.7673723 71.8402808 31.5157182 35.1814602 73.0660843 143.2437264 239.4995181 350.2657849 451.6641198 1006 484.3090757 438.8334407 317.6811614 174.3737925 71.4375542 31.3764399 37.9933732 80.8903359 154.9152560 250.2023920 353.9545637 444.6729613 1007 469.7250881 424.6972073 311.5567821 173.9386562 71.3291253 31.3890896 40.8402740 89.2028413 167.8278329 262.8484932 359.9548624 439.4210817 1008 455.7128092 409.0765759 303.0663151 172.6052324 71.5654266 31.4609383 43.2541382 97.1993830 181.0888430 276.5945591 367.6041915 435.8256043 1009 442.9364183 393.0879453 292.9724038 170.4731124 72.1663154 31.5206400 44.7206780 103.9892067 193.9247248 291.0043985 376.7400432 434.0155615 1010 432.3758156 378.1344262 282.3274623 167.6995627 73.0365980 31.5296676 44.7544208 108.4028248 205.0948923 305.3003148 387.1537782 434.3542099 1011 424.8730617 365.2649216 271.9966364 164.4226503 73.9920964 31.5135872 43.1429554 109.3947740 213.2874497 318.7402367 398.8416563 437.3658918 1012 421.1627133 355.2858666 262.6966355 160.8092629 74.7934608 31.5307152 40.0901648 106.3367911 217.1325003 330.3653621 411.7256765 443.5820903 ;