# omega total a= 1 L= 2 0.06283185 0.15192187 0.00666304 0.18849556 0.32890446 0.01735099 0.31415927 0.49672942 0.02758868 0.43982297 0.65496488 0.03717774 0.56548668 0.80326004 0.04598916 0.69115038 0.94108018 0.05396520 0.81681409 1.06804366 0.06111525 0.94247780 1.18401716 0.06749766 1.06814150 1.28911071 0.07319930 1.19380521 1.38362834 0.07831256 1.31946891 1.46801713 0.08292148 1.44513262 1.54282093 0.08709459 1.57079633 1.60863980 0.09088124 1.69646003 1.66610194 0.09431383 1.82212374 1.71584544 0.09741322 1.94778745 1.75850482 0.10019409 2.07345115 1.79470127 0.10266930 2.19911486 1.82503474 0.10485276 2.32477856 1.85007795 0.10676104 2.45044227 1.87037158 0.10841384 2.57610598 1.88642087 0.10983361 2.70176968 1.89869362 0.11104484 2.82743339 1.90761954 0.11207303 2.95309709 1.91359043 0.11294361 3.07876080 1.91696088 0.11368056 3.20442451 1.91804913 0.11430503 3.33008821 1.91713825 0.11483417 3.45575192 1.91447802 0.11528054 3.58141563 1.91028747 0.11565227 3.70707933 1.90475803 0.11595374 3.83274304 1.89805722 0.11618690 3.95840674 1.89033227 0.11635253 4.08407045 1.88171361 0.11645147 4.20973416 1.87231772 0.11648545 4.33539786 1.86224952 0.11645758 4.46106157 1.85160388 0.11637227 4.58672527 1.84046672 0.11623493 4.71238898 1.82891548 0.11605137 4.83805269 1.81701954 0.11582726 4.96371639 1.80484054 0.11556767 5.08938010 1.79243298 0.11527697 5.21504380 1.77984482 0.11495877 5.34070751 1.76711830 0.11461614 5.46637122 1.75429060 0.11425171 5.59203492 1.74139448 0.11386785 5.71769863 1.72845872 0.11346664 5.84336234 1.71550840 0.11304985 5.96902604 1.70256525 0.11261890 6.09468975 1.68964789 0.11217481 6.22035345 1.67677212 0.11171822 6.34601716 1.66395139 0.11124953 6.47168087 1.65119718 0.11076900 6.59734457 1.63851941 0.11027693 6.72300828 1.62592688 0.10977379 6.84867198 1.61342742 0.10926029 6.97433569 1.60102819 0.10873741 7.09999940 1.58873565 0.10820631 7.22566310 1.57655557 0.10766829 7.35132681 1.56449303 0.10712465 7.47699052 1.55255232 0.10657659 7.60265422 1.54073696 0.10602516 7.72831793 1.52904967 0.10547120 7.85398163 1.51749246 0.10491533 7.97964534 1.50606670 0.10435800 8.10530905 1.49477319 0.10379952 8.23097275 1.48361229 0.10324008 8.35663646 1.47258399 0.10267983 8.48230016 1.46168804 0.10211891 8.60796387 1.45092395 0.10155746 8.73362758 1.44029107 0.10099564 8.85929128 1.42978862 0.10043363 8.98495499 1.41941568 0.09987163 9.11061870 1.40917125 0.09930985 9.23628240 1.39905421 0.09874849 9.36194611 1.38906331 0.09818774 9.48760981 1.37919723 0.09762776 9.61327352 1.36945456 0.09706871 9.73893723 1.35983383 0.09651073 9.86460093 1.35033347 0.09595392 9.99026464 1.34095193 0.09539841 10.11592834 1.33168761 0.09484432 10.24159205 1.32253886 0.09429175 10.36725576 1.31350409 0.09374085 10.49291946 1.30458166 0.09319174 10.61858317 1.29576998 0.09264458 10.74424688 1.28706744 0.09209952 10.86991058 1.27847245 0.09155672 10.99557429 1.26998344 0.09101635 11.12123799 1.26159884 0.09047857 11.24690170 1.25331709 0.08994354 11.37256541 1.24513666 0.08941143 11.49822911 1.23705600 0.08888237 11.62389282 1.22907360 0.08835652 11.74955652 1.22118794 0.08783400 11.87522023 1.21339753 0.08731496 12.00088394 1.20570088 0.08679949 12.12654764 1.19809651 0.08628770 12.25221135 1.19058297 0.08577970 12.37787506 1.18315881 0.08527555 12.50353876 1.17582261 0.08477532 12.62920247 1.16857294 0.08427908 12.75486617 1.16140840 0.08378686 12.88052988 1.15432762 0.08329871 13.00619359 1.14732922 0.08281464 13.13185729 1.14041186 0.08233467 13.25752100 1.13357419 0.08185880 13.38318470 1.12681493 0.08138704 13.50884841 1.12013277 0.08091937 13.63451212 1.11352643 0.08045579 13.76017582 1.10699468 0.07999627 13.88583953 1.10053630 0.07954079 14.01150324 1.09415005 0.07908932 14.13716694 1.08783478 0.07864185 14.26283065 1.08158931 0.07819832 14.38849435 1.07541250 0.07775871 14.51415806 1.06930325 0.07732300 14.63982177 1.06326044 0.07689112 14.76548547 1.05728299 0.07646304 14.89114918 1.05136985 0.07603873 15.01681288 1.04551997 0.07561812 15.14247659 1.03973234 0.07520119 15.26814030 1.03400594 0.07478787 15.39380400 1.02833981 0.07437814 15.51946771 1.02273298 0.07397193 15.64513141 1.01718450 0.07356920 15.77079512 1.01169346 0.07316991 15.89645883 1.00625895 0.07277402 16.02212253 1.00088008 0.07238147 16.14778624 0.99555599 0.07199223 16.27344995 0.99028584 0.07160627 16.39911365 0.98506880 0.07122354 16.52477736 0.97990406 0.07084401 16.65044106 0.97479085 0.07046765 16.77610477 0.96972838 0.07009443 16.90176848 0.96471591 0.06972432 17.02743218 0.95975269 0.06935730 17.15309589 0.95483802 0.06899333 17.27875959 0.94997118 0.06863241 17.40442330 0.94515150 0.06827449 17.53008701 0.94037828 0.06791958 17.65575071 0.93565089 0.06756763 17.78141442 0.93096867 0.06721863 17.90707813 0.92633098 0.06687257 18.03274183 0.92173720 0.06652941 18.15840554 0.91718673 0.06618914 18.28406924 0.91267896 0.06585173 18.40973295 0.90821331 0.06551717 18.53539666 0.90378920 0.06518544 18.66106036 0.89940606 0.06485650 18.78672407 0.89506333 0.06453033 18.91238777 0.89076047 0.06420692 19.03805148 0.88649694 0.06388623 19.16371519 0.88227221 0.06356825 19.28937889 0.87808575 0.06325294 19.41504260 0.87393707 0.06294029 19.54070631 0.86982565 0.06263025 19.66637001 0.86575100 0.06232282 19.79203372 0.86171264 0.06201796 19.91769742 0.85771010 0.06171564 20.04336113 0.85374289 0.06141585 20.16902484 0.84981056 0.06111854 20.29468854 0.84591266 0.06082370 20.42035225 0.84204874 0.06053130 20.54601595 0.83821836 0.06024130 20.67167966 0.83442108 0.05995368 20.79734337 0.83065649 0.05966841 20.92300707 0.82692417 0.05938547 21.04867078 0.82322371 0.05910483 21.17433449 0.81955470 0.05882646 21.29999819 0.81591675 0.05855033 21.42566190 0.81230946 0.05827642 21.55132560 0.80873246 0.05800469 21.67698931 0.80518536 0.05773513 21.80265302 0.80166780 0.05746770 21.92831672 0.79817940 0.05720238 22.05398043 0.79471982 0.05693916 22.17964413 0.79128870 0.05667799 22.30530784 0.78788570 0.05641887 22.43097155 0.78451047 0.05616176 22.55663525 0.78116269 0.05590666 22.68229896 0.77784203 0.05565352 22.80796267 0.77454816 0.05540235 22.93362637 0.77128078 0.05515312 23.05929008 0.76803958 0.05490580 23.18495378 0.76482424 0.05466040 23.31061749 0.76163448 0.05441688 23.43628120 0.75846999 0.05417523 23.56194490 0.75533050 0.05393544 23.68760861 0.75221571 0.05369750 23.81327231 0.74912536 0.05346139 23.93893602 0.74605916 0.05322709 24.06459973 0.74301686 0.05299461 24.19026343 0.73999818 0.05276391 24.31592714 0.73700286 0.05253500 24.44159084 0.73403066 0.05230786 24.56725455 0.73108131 0.05208248 24.69291826 0.72815458 0.05185885 24.81858196 0.72525021 0.05163696 24.94424567 0.72236796 0.05141678 25.06990938 0.71950759 0.05119832 25.19557308 0.71666887 0.05098157 25.44690049 0.71105547 0.05055311 25.57256420 0.70828033 0.05034139 25.82389161 0.70279205 0.04992289 25.94955532 0.70007847 0.04971609 26.20088273 0.69471137 0.04930731 26.32654644 0.69205743 0.04910530 26.57787385 0.68680772 0.04870600 26.82920126 0.68163423 0.04831286 26.95486497 0.67907557 0.04811857 27.20619238 0.67401343 0.04773448 27.45751979 0.66902361 0.04735625 27.58318350 0.66655536 0.04716930 27.83451091 0.66167123 0.04679965 28.08583832 0.65685575 0.04643557 28.21150203 0.65447331 0.04625557 28.46282944 0.64975819 0.04589960 28.71415685 0.64510827 0.04554889 28.96548427 0.64052225 0.04520333 29.09114797 0.63825279 0.04503244 29.34247538 0.63376021 0.04469436 29.59380280 0.62932838 0.04436115 29.84513021 0.62495610 0.04403269 30.09645762 0.62064220 0.04370887 30.34778503 0.61638554 0.04338959 30.47344874 0.61427832 0.04323163 30.72477615 0.61010545 0.04291898 30.97610356 0.60598710 0.04261063 31.22743098 0.60192224 0.04230649 31.47875839 0.59790984 0.04200648 31.73008580 0.59394892 0.04171050 31.98141321 0.59003852 0.04141847 32.23274063 0.58617771 0.04113032 32.48406804 0.58236557 0.04084598 32.73539545 0.57860120 0.04056535 32.98672286 0.57488373 0.04028838 33.23805027 0.57121232 0.04001498 33.48937769 0.56758614 0.03974511 33.74070510 0.56400438 0.03947868 33.99203251 0.56046624 0.03921563 34.24335992 0.55697096 0.03895590 34.49468734 0.55351778 0.03869944 34.74601475 0.55010597 0.03844617 34.99734216 0.54673481 0.03819605 35.37433328 0.54175274 0.03782664 35.62566069 0.53848016 0.03758413 35.87698810 0.53524583 0.03734457 36.12831552 0.53204910 0.03710792 36.37964293 0.52888935 0.03687412 36.75663405 0.52421770 0.03652865 37.00796146 0.52114769 0.03630176 37.25928887 0.51811254 0.03607755 37.51061628 0.51511167 0.03585598 37.88760740 0.51067343 0.03552848 38.13893481 0.50775583 0.03531331 38.39026223 0.50487060 0.03510063 38.76725335 0.50060231 0.03478618 39.01858076 0.49779573 0.03457954 39.39557188 0.49364307 0.03427396 39.64689929 0.49091205 0.03407312 39.89822670 0.48821042 0.03387452 40.27521782 0.48421209 0.03358077 40.52654523 0.48158195 0.03338765 40.90353635 0.47768877 0.03310195 41.15486376 0.47512738 0.03291409 41.53185488 0.47133535 0.03263612 41.78318229 0.46884010 0.03245331 42.16017341 0.46514542 0.03218278 42.53716453 0.46150739 0.03191657 42.78849194 0.45911289 0.03174145 43.16548306 0.45556649 0.03148223 43.41681047 0.45323195 0.03131168 43.79380159 0.44977385 0.03105918 44.17079271 0.44636717 0.03081059 44.54778383 0.44301082 0.03056583 44.79911124 0.44080066 0.03040475 45.17610236 0.43752577 0.03016618 45.55309348 0.43429836 0.02993121 45.93008460 0.43111744 0.02969977 46.18141201 0.42902217 0.02954740 46.55840313 0.42591656 0.02932167 46.93539424 0.42285489 0.02909927 47.31238536 0.41983623 0.02888013 47.68937648 0.41685972 0.02866417 48.06636760 0.41392449 0.02845133 48.44335872 0.41102970 0.02824155 48.82034984 0.40817452 0.02803476 49.19734096 0.40535818 0.02783090 49.57433207 0.40257989 0.02762990 49.95132319 0.39983890 0.02743172 50.32831431 0.39713448 0.02723630 50.70530543 0.39446590 0.02704357 51.08229655 0.39183248 0.02685348 51.45928767 0.38923353 0.02666599 51.83627878 0.38666838 0.02648103 52.33893361 0.38329967 0.02623829 52.71592473 0.38081092 0.02605908 53.09291585 0.37835389 0.02588223 53.46990696 0.37592798 0.02570772 53.97256179 0.37274084 0.02547860 54.34955291 0.37038532 0.02530936 54.72654403 0.36805903 0.02514230 55.22919885 0.36500188 0.02492290 55.60618997 0.36274177 0.02476079 55.98318109 0.36050916 0.02460073 56.48583591 0.35757429 0.02439045 56.86282703 0.35540396 0.02423504 57.36548185 0.35255042 0.02403083 57.74247297 0.35043983 0.02387987 58.24512780 0.34766431 0.02368146 58.62211892 0.34561105 0.02353476 59.12477374 0.34291043 0.02334192 59.62742857 0.34025126 0.02315216 60.00441968 0.33828353 0.02301181 60.50707451 0.33569467 0.02282727 61.00972933 0.33314475 0.02264561 61.38672045 0.33125734 0.02251122 61.88937528 0.32877351 0.02233446 62.39203010 0.32632629 0.02216040 62.89468492 0.32391491 0.02198900 63.39733975 0.32153857 0.02182018 63.89999457 0.31919652 0.02165390 64.40264940 0.31688804 0.02149009 64.77964052 0.31517828 0.02136883 65.28229534 0.31292683 0.02120923 65.78495017 0.31070704 0.02105196 66.41326870 0.30797582 0.02085858 66.91592352 0.30582487 0.02070637 67.41857835 0.30370349 0.02055634 67.92123317 0.30161110 0.02040844 68.42388800 0.29954709 0.02026263 68.92654282 0.29751089 0.02011885 69.42919764 0.29550196 0.01997708 70.05751618 0.29302832 0.01980261 70.56017100 0.29107877 0.01966518 71.06282582 0.28915477 0.01952963 71.69114435 0.28678496 0.01936276 72.19379918 0.28491666 0.01923128 72.82211771 0.28261497 0.01906939 73.32477253 0.28080000 0.01894180 73.95309107 0.27856354 0.01878467 74.45574589 0.27679965 0.01866081 75.08406442 0.27462570 0.01850823 75.58671925 0.27291077 0.01838794 76.21503778 0.27079676 0.01823973 76.84335631 0.26871498 0.01809386 77.34601113 0.26707227 0.01797882 77.97432966 0.26504669 0.01783704 78.60264819 0.26305137 0.01769745 79.23096672 0.26108561 0.01756001 79.85928525 0.25914879 0.01742466 80.36194008 0.25761973 0.01731786 80.99025861 0.25573339 0.01718618 81.61857714 0.25387426 0.01705646 82.24689567 0.25204174 0.01692866 82.87521420 0.25023528 0.01680275 83.62919644 0.24810114 0.01665409 84.25751497 0.24635009 0.01653218 84.88583350 0.24462338 0.01641202 85.51415203 0.24292051 0.01629358 86.14247056 0.24124099 0.01617683 86.89645280 0.23925574 0.01603890 87.52477133 0.23762594 0.01592572 88.15308986 0.23601803 0.01581412 88.90707210 0.23411679 0.01568223 89.53539063 0.23255548 0.01557397 90.28937286 0.23070896 0.01544601 90.91769139 0.22919226 0.01534096 91.67167363 0.22739813 0.01521675 92.42565587 0.22563165 0.01509452 93.05397440 0.22418024 0.01499414 93.80795664 0.22246281 0.01487543 94.56193887 0.22077128 0.01475856 95.19025740 0.21938104 0.01466255 95.94423964 0.21773550 0.01454897 96.69822188 0.21611426 0.01443713 97.45220411 0.21451680 0.01432698 98.20618635 0.21294259 0.01421848 98.96016859 0.21139112 0.01411161 99.71415082 0.20986191 0.01400631 100.46813306 0.20835450 0.01390257 101.34777900 0.20662276 0.01378346 102.10176124 0.20516098 0.01368296 102.85574348 0.20371957 0.01358391 103.60972572 0.20229811 0.01348627 104.48937166 0.20066440 0.01337411 105.24335390 0.19928476 0.01327944 106.12299984 0.19769878 0.01317066 106.87698208 0.19635916 0.01307882 107.75662802 0.19481884 0.01297327 108.51061025 0.19351752 0.01288414 109.39025620 0.19202094 0.01278168 110.26990214 0.19054714 0.01268082 111.14954808 0.18909560 0.01258154 111.90353032 0.18786878 0.01249767 112.78317626 0.18645728 0.01240121 113.66282221 0.18506667 0.01230622 114.54246815 0.18369648 0.01221267 115.42211409 0.18234626 0.01212052 116.30176004 0.18101559 0.01202975 117.18140598 0.17970404 0.01194032 118.18671563 0.17822802 0.01183972 119.06636157 0.17695609 0.01175307 119.94600751 0.17570204 0.01166767 120.95131716 0.17429025 0.01157158 121.83096311 0.17307328 0.01148878 122.83627276 0.17170292 0.01139558 123.71591870 0.17052140 0.01131526 124.72122835 0.16919068 0.01122483 125.60087429 0.16804309 0.01114689 126.60618394 0.16675033 0.01105911 127.61149359 0.16547714 0.01097270 128.61680324 0.16422310 0.01088763 129.62211289 0.16298777 0.01080386 130.62742254 0.16177075 0.01072136 131.63273219 0.16057162 0.01064011 132.63804183 0.15939000 0.01056008 133.64335148 0.15822551 0.01048124 134.64866113 0.15707778 0.01040356 135.65397078 0.15594645 0.01032702 136.78494414 0.15469288 0.01024224 137.79025379 0.15359526 0.01016804 138.92122714 0.15237877 0.01008584 139.92653679 0.15131339 0.01001387 141.05751015 0.15013237 0.00993412 142.06281980 0.14909783 0.00986429 143.19379315 0.14795075 0.00978689 144.32476651 0.14682106 0.00971069 145.45573986 0.14570836 0.00963567 146.58671322 0.14461228 0.00956179 147.71768657 0.14353244 0.00948903 148.84865993 0.14246849 0.00941737 149.97963328 0.14142009 0.00934678 151.11060664 0.14038689 0.00927723 152.24157999 0.13936856 0.00920872 153.49821705 0.13825416 0.00913376 154.62919041 0.13726622 0.00906733 155.88582747 0.13618482 0.00899464 157.01680083 0.13522592 0.00893021 158.27343789 0.13417608 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