# omega total a= 1 L= 2 0.06283185 0.30248263 0.12052632 0.18849556 0.37015898 0.08446275 0.31415927 0.48522016 0.07873530 0.43982297 0.61089175 0.08204037 0.56548668 0.73819297 0.08963278 0.69115038 0.85729444 0.09605344 0.81681409 0.96804571 0.10147522 0.94247780 1.07244616 0.10736180 1.06814150 1.16901823 0.11287572 1.19380521 1.25758168 0.11789618 1.31946891 1.33788891 0.12220036 1.44513262 1.41014813 0.12579012 1.57079633 1.47498142 0.12889470 1.69646003 1.53288742 0.13162965 1.82212374 1.58408275 0.13389971 1.94778745 1.62889985 0.13567839 2.07345115 1.66792766 0.13710570 2.19911486 1.70176581 0.13832181 2.32477856 1.73086934 0.13937002 2.45044227 1.75559047 0.14023212 2.57610598 1.77625627 0.14088327 2.70176968 1.79321044 0.14132310 2.82743339 1.80681381 0.14157907 2.95309709 1.81741930 0.14168991 3.07876080 1.82534759 0.14168768 3.20442451 1.83087798 0.14159039 3.33008821 1.83425444 0.14140564 3.45575192 1.83569798 0.14113905 3.58141563 1.83541617 0.14080042 3.70707933 1.83360395 0.14040309 3.83274304 1.83043885 0.13995905 3.95840674 1.82607669 0.13947471 4.08407045 1.82065220 0.13895066 4.20973416 1.81428336 0.13838445 4.33539786 1.80707675 0.13777422 4.46106157 1.79913114 0.13712067 4.58672527 1.79053862 0.13642733 4.71238898 1.78138420 0.13569936 4.83805269 1.77174511 0.13494224 4.96371639 1.76169052 0.13416090 5.08938010 1.75128209 0.13335950 5.21504380 1.74057476 0.13254156 5.34070751 1.72961795 0.13171048 5.46637122 1.71845629 0.13086975 5.59203492 1.70713018 0.13002300 5.71769863 1.69567615 0.12917399 5.84336234 1.68412704 0.12832630 5.96902604 1.67251200 0.12748311 6.09468975 1.66085650 0.12664683 6.22035345 1.64918239 0.12581891 6.34601716 1.63750790 0.12499963 6.47168087 1.62584826 0.12418836 6.59734457 1.61421582 0.12338357 6.72300828 1.60262081 0.12258329 6.84867198 1.59107175 0.12178528 6.97433569 1.57957600 0.12098747 7.09999940 1.56814003 0.12018803 7.22566310 1.55676975 0.11938558 7.35132681 1.54547077 0.11857931 7.47699052 1.53424837 0.11776894 7.60265422 1.52310768 0.11695474 7.72831793 1.51205371 0.11613750 7.85398163 1.50109113 0.11531833 7.97964534 1.49022453 0.11449873 8.10530905 1.47945808 0.11368033 8.23097275 1.46879569 0.11286489 8.35663646 1.45824064 0.11205402 8.48230016 1.44779586 0.11124930 8.60796387 1.43746364 0.11045203 8.73362758 1.42724571 0.10966325 8.85929128 1.41714319 0.10888371 8.98495499 1.40715665 0.10811381 9.11061870 1.39728629 0.10735383 9.23628240 1.38753170 0.10660364 9.36194611 1.37789238 0.10586317 9.48760981 1.36836727 0.10513199 9.61327352 1.35895533 0.10440975 9.73893723 1.34965532 0.10369604 9.86460093 1.34046585 0.10299041 9.99026464 1.33138546 0.10229240 10.11592834 1.32241296 0.10160185 10.24159205 1.31354671 0.10091828 10.36725576 1.30478546 0.10024154 10.49291946 1.29612783 0.09957145 10.61858317 1.28757256 0.09890793 10.74424688 1.27911820 0.09825080 10.86991058 1.27076359 0.09760008 10.99557429 1.26250736 0.09695568 11.12123799 1.25434822 0.09631756 11.24690170 1.24628486 0.09568567 11.37256541 1.23831594 0.09505995 11.49822911 1.23044017 0.09444037 11.62389282 1.22265611 0.09382676 11.74955652 1.21496256 0.09321918 11.87522023 1.20735806 0.09261745 12.00088394 1.19984131 0.09202152 12.12654764 1.19241091 0.09143126 12.25221135 1.18506552 0.09084659 12.37787506 1.17780388 0.09026745 12.50353876 1.17062463 0.08969373 12.62920247 1.16352651 0.08912538 12.75486617 1.15650823 0.08856232 12.88052988 1.14956854 0.08800446 13.00619359 1.14270620 0.08745174 13.13185729 1.13592002 0.08690412 13.25752100 1.12920879 0.08636154 13.38318470 1.12257134 0.08582392 13.50884841 1.11600657 0.08529126 13.63451212 1.10951324 0.08476341 13.76017582 1.10309032 0.08424041 13.88583953 1.09673669 0.08372217 14.01150324 1.09045120 0.08320857 14.13716694 1.08423292 0.08269966 14.26283065 1.07808071 0.08219533 14.38849435 1.07199357 0.08169552 14.51415806 1.06597052 0.08120022 14.63982177 1.06001059 0.08070935 14.76548547 1.05411279 0.08022288 14.89114918 1.04827616 0.07974073 15.01681288 1.04249991 0.07926296 15.14247659 1.03678301 0.07878944 15.26814030 1.03112469 0.07832021 15.39380400 1.02552405 0.07785521 15.51946771 1.01998029 0.07739445 15.64513141 1.01449260 0.07693791 15.77079512 1.00906015 0.07648554 15.89645883 1.00368227 0.07603742 16.02212253 0.99835813 0.07559349 16.14778624 0.99308693 0.07515367 16.27344995 0.98786812 0.07471813 16.39911365 0.98270082 0.07428669 16.52477736 0.97758447 0.07385948 16.65044106 0.97251824 0.07343636 16.77610477 0.96750159 0.07301745 16.90176848 0.96253372 0.07260261 17.02743218 0.95761411 0.07219194 17.15309589 0.95274197 0.07178532 17.27875959 0.94791678 0.07138281 17.40442330 0.94313782 0.07098432 17.53008701 0.93840449 0.07058983 17.65575071 0.93371619 0.07019934 17.78141442 0.92907229 0.06981278 17.90707813 0.92447218 0.06943011 18.03274183 0.91991526 0.06905129 18.15840554 0.91540096 0.06867629 18.28406924 0.91092869 0.06830507 18.40973295 0.90649787 0.06793754 18.53539666 0.90210796 0.06757369 18.66106036 0.89775840 0.06721347 18.78672407 0.89344862 0.06685681 18.91238777 0.88917809 0.06650366 19.03805148 0.88494632 0.06615400 19.16371519 0.88075276 0.06580777 19.28937889 0.87659690 0.06546490 19.41504260 0.87247824 0.06512536 19.54070631 0.86839629 0.06478909 19.66637001 0.86435057 0.06445606 19.79203372 0.86034061 0.06412623 19.91769742 0.85636593 0.06379953 20.04336113 0.85242607 0.06347592 20.16902484 0.84852058 0.06315536 20.29468854 0.84464902 0.06283780 20.42035225 0.84081095 0.06252321 20.54601595 0.83700594 0.06221153 20.67167966 0.83323357 0.06190273 20.79734337 0.82949339 0.06159673 20.92300707 0.82578504 0.06129354 21.04867078 0.82210806 0.06099307 21.17433449 0.81846209 0.06069529 21.29999819 0.81484673 0.06040017 21.42566190 0.81126158 0.06010764 21.55132560 0.80770627 0.05981769 21.67698931 0.80418042 0.05953025 21.80265302 0.80068366 0.05924529 21.92831672 0.79721563 0.05896276 22.05398043 0.79377599 0.05868265 22.17964413 0.79036436 0.05840488 22.30530784 0.78698042 0.05812944 22.43097155 0.78362383 0.05785629 22.55663525 0.78029424 0.05758538 22.68229896 0.77699136 0.05731671 22.80796267 0.77371484 0.05705021 22.93362637 0.77046439 0.05678587 23.05929008 0.76723970 0.05652367 23.18495378 0.76404048 0.05626358 23.31061749 0.76086640 0.05600556 23.43628120 0.75771721 0.05574960 23.56194490 0.75459262 0.05549568 23.68760861 0.75149234 0.05524376 23.81327231 0.74841614 0.05499387 23.93893602 0.74536369 0.05474592 24.06459973 0.74233477 0.05449995 24.19026343 0.73932913 0.05425592 24.31592714 0.73634650 0.05401383 24.44159084 0.73338664 0.05377365 24.56725455 0.73044930 0.05353537 24.69291826 0.72753426 0.05329899 24.81858196 0.72464126 0.05306447 24.94424567 0.72177009 0.05283183 25.06990938 0.71892051 0.05260105 25.19557308 0.71609228 0.05237210 25.44690049 0.71049906 0.05191968 25.57256420 0.70773362 0.05169617 25.82389161 0.70226402 0.05125454 25.94955532 0.69955943 0.05103638 26.20088273 0.69420967 0.05060531 26.32654644 0.69156407 0.05039236 26.57787385 0.68633050 0.04997160 26.82920126 0.68117240 0.04955756 26.95486497 0.67862117 0.04935302 27.20619238 0.67357344 0.04894884 27.45751979 0.66859741 0.04855107 27.58318350 0.66613584 0.04835456 27.83451091 0.66126466 0.04796616 28.08583832 0.65646162 0.04758385 28.21150203 0.65408521 0.04739493 28.46282944 0.64938180 0.04702148 28.71415685 0.64474317 0.04665378 28.96548427 0.64016800 0.04629169 29.09114797 0.63790382 0.04611271 29.34247538 0.63342149 0.04575879 29.59380280 0.62899955 0.04541017 29.84513021 0.62463680 0.04506672 30.09645762 0.62033208 0.04472831 30.34778503 0.61608427 0.04439483 30.47344874 0.61398136 0.04422990 30.72477615 0.60981687 0.04390361 30.97610356 0.60570661 0.04358197 31.22743098 0.60164954 0.04326487 31.47875839 0.59764466 0.04295224 31.73008580 0.59369100 0.04264394 31.98141321 0.58978759 0.04233991 32.23274063 0.58593352 0.04204005 32.48406804 0.58212788 0.04174426 32.73539545 0.57836978 0.04145247 32.98672286 0.57465837 0.04116460 33.23805027 0.57099279 0.04088055 33.48937769 0.56737224 0.04060027 33.74070510 0.56379590 0.04032367 33.99203251 0.56026299 0.04005068 34.24335992 0.55677276 0.03978123 34.49468734 0.55332445 0.03951526 34.74601475 0.54991733 0.03925269 34.99734216 0.54655070 0.03899346 35.37433328 0.54157512 0.03861076 35.62566069 0.53830668 0.03835962 35.87698810 0.53507634 0.03811162 36.12831552 0.53188347 0.03786669 36.37964293 0.52872744 0.03762478 36.75663405 0.52406111 0.03726746 37.00796146 0.52099451 0.03703286 37.25928887 0.51796264 0.03680111 37.51061628 0.51496494 0.03657213 37.88760740 0.51053124 0.03623379 38.13893481 0.50761655 0.03601157 38.39026223 0.50473412 0.03579198 38.76725335 0.50046984 0.03546740 39.01858076 0.49766583 0.03525416 39.39557188 0.49351685 0.03493892 39.64689929 0.49078819 0.03473178 39.89822670 0.48808883 0.03452700 40.27521782 0.48409376 0.03422419 40.52654523 0.48146570 0.03402516 40.90353635 0.47757552 0.03373080 41.15486376 0.47501604 0.03353729 41.53185488 0.47122675 0.03325103 41.78318229 0.46873326 0.03306281 42.16017341 0.46504109 0.03278434 42.53716453 0.46140546 0.03251039 42.78849194 0.45901249 0.03233022 43.16548306 0.45546829 0.03206358 43.41681047 0.45313515 0.03188818 43.79380159 0.44967907 0.03162856 44.17079271 0.44627431 0.03137303 44.54778383 0.44291978 0.03112149 44.79911124 0.44071079 0.03095596 45.17610236 0.43743757 0.03071088 45.55309348 0.43421175 0.03046955 45.93008460 0.43103235 0.03023189 46.18141201 0.42893804 0.03007545 46.55840313 0.42583382 0.02984373 46.93539424 0.42277346 0.02961548 47.31238536 0.41975607 0.02939061 47.68937648 0.41678075 0.02916905 48.06636760 0.41384665 0.02895074 48.44335872 0.41095293 0.02873560 48.82034984 0.40809878 0.02852356 49.19734096 0.40528340 0.02831457 49.57433207 0.40250603 0.02810855 49.95132319 0.39976592 0.02790544 50.32831431 0.39706232 0.02770520 50.70530543 0.39439453 0.02750774 51.08229655 0.39176185 0.02731303 51.45928767 0.38916361 0.02712100 51.83627878 0.38659913 0.02693160 52.33893361 0.38323126 0.02668307 52.71592473 0.38074310 0.02649961 53.09291585 0.37828663 0.02631860 53.46990696 0.37586125 0.02614001 53.97256179 0.37267478 0.02590555 54.34955291 0.37031971 0.02573240 54.72654403 0.36799387 0.02556151 55.22919885 0.36493726 0.02533710 55.60618997 0.36267753 0.02517131 55.98318109 0.36044528 0.02500765 56.48583591 0.35751086 0.02479265 56.86282703 0.35534085 0.02463378 57.36548185 0.35248769 0.02442504 57.74247297 0.35037737 0.02427076 58.24512780 0.34760218 0.02406800 58.62211892 0.34554916 0.02391812 59.12477374 0.34284882 0.02372110 59.62742857 0.34018991 0.02352726 60.00441968 0.33822235 0.02338391 60.50707451 0.33563371 0.02319544 61.00972933 0.33308399 0.02300993 61.38672045 0.33119672 0.02287271 61.88937528 0.32871304 0.02269225 62.39203010 0.32626597 0.02251457 62.89468492 0.32385471 0.02233961 63.39733975 0.32147847 0.02216732 63.89999457 0.31913652 0.02199763 64.40264940 0.31682812 0.02183048 64.77964052 0.31511841 0.02170676 65.28229534 0.31286702 0.02154393 65.78495017 0.31064728 0.02138350 66.41326870 0.30791609 0.02118625 66.91592352 0.30576516 0.02103102 67.41857835 0.30364379 0.02087802 67.92123317 0.30155140 0.02072720 68.42388800 0.29948738 0.02057853 68.92654282 0.29745117 0.02043195 69.42919764 0.29544222 0.02028741 70.05751618 0.29296853 0.02010957 70.56017100 0.29101894 0.01996950 71.06282582 0.28909491 0.01983134 71.69114435 0.28672503 0.01966129 72.19379918 0.28485668 0.01952731 72.82211771 0.28255490 0.01936235 73.32477253 0.28073987 0.01923236 73.95309107 0.27850332 0.01907228 74.45574589 0.27673936 0.01894610 75.08406442 0.27456531 0.01879069 75.58671925 0.27285030 0.01866817 76.21503778 0.27073618 0.01851722 76.84335631 0.26865429 0.01836867 77.34601113 0.26701150 0.01825152 77.97432966 0.26498581 0.01810715 78.60264819 0.26299037 0.01796503 79.23096672 0.26102450 0.01782510 79.85928525 0.25908755 0.01768731 80.36194008 0.25755840 0.01757860 80.99025861 0.25567194 0.01744455 81.61857714 0.25381268 0.01731252 82.24689567 0.25198004 0.01718245 82.87521420 0.25017346 0.01705431 83.62919644 0.24803918 0.01690302 84.25751497 0.24628800 0.01677897 84.88583350 0.24456116 0.01665671 85.51415203 0.24285817 0.01653620 86.14247056 0.24117854 0.01641741 86.89645280 0.23919314 0.01627709 87.52477133 0.23756323 0.01616196 88.15308986 0.23595520 0.01604843 88.90707210 0.23405382 0.01591427 89.53539063 0.23249240 0.01580416 90.28937286 0.23064575 0.01567401 90.91769139 0.22912894 0.01556717 91.67167363 0.22733468 0.01544086 92.42565587 0.22556807 0.01531656 93.05397440 0.22411656 0.01521449 93.80795664 0.22239901 0.01509377 94.56193887 0.22070736 0.01497495 95.19025740 0.21931703 0.01487734 95.94423964 0.21767138 0.01476186 96.69822188 0.21605004 0.01464816 97.45220411 0.21445247 0.01453618 98.20618635 0.21287816 0.01442589 98.96016859 0.21132659 0.01431725 99.71415082 0.20979730 0.01421023 100.46813306 0.20828979 0.01410478 101.34777900 0.20655795 0.01398372 102.10176124 0.20509609 0.01388158 102.85574348 0.20365460 0.01378091 103.60972572 0.20223307 0.01368169 104.48937166 0.20059928 0.01356771 105.24335390 0.19921958 0.01347151 106.12299984 0.19763352 0.01336097 106.87698208 0.19629384 0.01326766 107.75662802 0.19475347 0.01316041 108.51061025 0.19345210 0.01306986 109.39025620 0.19195546 0.01296576 110.26990214 0.19048161 0.01286330 111.14954808 0.18903003 0.01276244 111.90353032 0.18780317 0.01267723 112.78317626 0.18639164 0.01257925 113.66282221 0.18500100 0.01248276 114.54246815 0.18363078 0.01238773 115.42211409 0.18228054 0.01229413 116.30176004 0.18094985 0.01220193 117.18140598 0.17963829 0.01211110 118.18671563 0.17816226 0.01200893 119.06636157 0.17689033 0.01192093 119.94600751 0.17563628 0.01183420 120.95131716 0.17422450 0.01173661 121.83096311 0.17300753 0.01165252 122.83627276 0.17163719 0.01155788 123.71591870 0.17045569 0.01147632 124.72122835 0.16912500 0.01138450 125.60087429 0.16797743 0.01130535 126.60618394 0.16668470 0.01121622 127.61149359 0.16541155 0.01112849 128.61680324 0.16415755 0.01104211 129.62211289 0.16292227 0.01095706 130.62742254 0.16170530 0.01087330 131.63273219 0.16050622 0.01079081 132.63804183 0.15932466 0.01070956 133.64335148 0.15816023 0.01062952 134.64866113 0.15701257 0.01055066 135.65397078 0.15588131 0.01047296 136.78494414 0.15462782 0.01038691 137.79025379 0.15353028 0.01031158 138.92122714 0.15231388 0.01022814 139.92653679 0.15124858 0.01015509 141.05751015 0.15006766 0.01007414 142.06281980 0.14903321 0.01000326 143.19379315 0.14788624 0.00992470 144.32476651 0.14675666 0.00984736 145.45573986 0.14564407 0.00977121 146.58671322 0.14454810 0.00969623 147.71768657 0.14346838 0.00962239 148.84865993 0.14240455 0.00954966 149.97963328 0.14135627 0.00947802 151.11060664 0.14032320 0.00940744 152.24157999 0.13930500 0.00933790 153.49821705 0.13819075 0.00926183 154.62919041 0.13720294 0.00919442 155.88582747 0.13612169 0.00912066 157.01680083 0.13516293 0.00905527 158.27343789 0.13411325 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197.85750532 0.10772044 0.00719241 199.36546980 0.10691781 0.00713817 200.87343427 0.10612699 0.00708474 202.50706245 0.10528329 0.00702775 204.01502692 0.10451625 0.00697595 205.64865510 0.10369773 0.00692069 207.15661958 0.10295342 0.00687045 208.79024776 0.10215898 0.00681683 210.42387594 0.10137664 0.00676405 212.05750412 0.10060614 0.00671208 213.69113230 0.09984720 0.00666090 215.32476048 0.09909956 0.00661050 216.95838866 0.09836299 0.00656085 218.59201684 0.09763723 0.00651193 220.35130872 0.09686747 0.00646007 221.98493690 0.09616342 0.00641264 223.74422879 0.09541653 0.00636234 225.50352067 0.09468109 0.00631282 227.26281256 0.09395685 0.00626407 229.02210445 0.09324355 0.00621606 230.78139633 0.09254095 0.00616878 232.54068822 0.09184882 0.00612221 234.29998010 0.09116692 0.00607634 236.18493570 0.09044740 0.00602795 237.94422758 0.08978598 0.00598348 239.82918318 0.08908793 0.00593655 241.71413877 0.08840059 0.00589035 243.47343065 0.08776854 0.00584788 245.35838625 0.08710126 0.00580304 247.24334184 0.08644400 0.00575889 249.25396114 0.08575373 0.00571253 251.13891673 0.08511650 0.00566973