# omega total a= 1 L= 2 0.06283185 0.21425638 0.06595989 0.18849556 0.28597259 0.03263343 0.31415927 0.43442849 0.04531422 0.43982297 0.56827049 0.05217721 0.56548668 0.70118801 0.06179629 0.69115038 0.82548854 0.07010745 0.81681409 0.93857519 0.07588596 0.94247780 1.04638616 0.08287721 1.06814150 1.14609325 0.08947544 1.19380521 1.23666023 0.09503842 1.31946891 1.31857474 0.09981011 1.44513262 1.39253763 0.10407377 1.57079633 1.45891184 0.10787093 1.69646003 1.51803071 0.11119550 1.82212374 1.57031123 0.11407060 1.94778745 1.61622665 0.11654215 2.07345115 1.65622292 0.11863428 2.19911486 1.69074820 0.12037665 2.32477856 1.72029235 0.12182956 2.45044227 1.74533762 0.12305369 2.57610598 1.76632131 0.12409161 2.70176968 1.78363217 0.12496891 2.82743339 1.79762179 0.12570228 2.95309709 1.80861216 0.12630421 3.07876080 1.81689773 0.12678418 3.20442451 1.82275058 0.12715196 3.33008821 1.82642458 0.12741951 3.45575192 1.82815386 0.12759874 3.58141563 1.82814825 0.12769737 3.70707933 1.82659336 0.12771848 3.83274304 1.82365559 0.12766379 3.95840674 1.81948769 0.12753673 4.08407045 1.81423080 0.12734297 4.20973416 1.80801438 0.12708921 4.33539786 1.80095577 0.12678206 4.46106157 1.79316114 0.12642790 4.58672527 1.78472693 0.12603337 4.71238898 1.77574063 0.12560528 4.83805269 1.76628071 0.12515001 4.96371639 1.75641618 0.12467248 5.08938010 1.74620666 0.12417564 5.21504380 1.73570331 0.12366052 5.34070751 1.72495043 0.12312686 5.46637122 1.71398699 0.12257389 5.59203492 1.70284817 0.12200102 5.71769863 1.69156616 0.12140827 5.84336234 1.68017074 0.12079642 5.96902604 1.66868934 0.12016694 6.09468975 1.65714722 0.11952186 6.22035345 1.64556721 0.11886341 6.34601716 1.63396977 0.11819384 6.47168087 1.62237328 0.11751547 6.59734457 1.61079386 0.11683032 6.72300828 1.59924574 0.11614026 6.84867198 1.58774149 0.11544696 6.97433569 1.57629229 0.11475205 7.09999940 1.56490776 0.11405685 7.22566310 1.55359645 0.11336260 7.35132681 1.54236577 0.11267037 7.47699052 1.53122196 0.11198096 7.60265422 1.52017023 0.11129490 7.72831793 1.50921485 0.11061249 7.85398163 1.49835892 0.10993356 7.97964534 1.48760496 0.10925791 8.10530905 1.47695454 0.10858494 8.23097275 1.46640890 0.10791413 8.35663646 1.45596870 0.10724481 8.48230016 1.44563441 0.10657645 8.60796387 1.43540641 0.10590868 8.73362758 1.42528500 0.10524130 8.85929128 1.41527043 0.10457432 8.98495499 1.40536308 0.10390801 9.11061870 1.39556330 0.10324277 9.23628240 1.38587159 0.10257931 9.36194611 1.37628824 0.10191831 9.48760981 1.36681366 0.10126062 9.61327352 1.35744806 0.10060706 9.73893723 1.34819156 0.09995847 9.86460093 1.33904418 0.09931564 9.99026464 1.33000556 0.09867915 10.11592834 1.32107527 0.09804953 10.24159205 1.31225243 0.09742701 10.36725576 1.30353623 0.09681189 10.49291946 1.29492535 0.09620407 10.61858317 1.28641847 0.09560348 10.74424688 1.27801408 0.09500990 10.86991058 1.26971053 0.09442300 10.99557429 1.26150597 0.09384232 11.12123799 1.25339867 0.09326748 11.24690170 1.24538681 0.09269805 11.37256541 1.23746852 0.09213355 11.49822911 1.22964212 0.09157364 11.62389282 1.22190580 0.09101793 11.74955652 1.21425787 0.09046606 11.87522023 1.20669688 0.08991790 12.00088394 1.19922117 0.08937314 12.12654764 1.19182930 0.08883162 12.25221135 1.18451994 0.08829329 12.37787506 1.17729174 0.08775806 12.50353876 1.17014352 0.08722596 12.62920247 1.16307401 0.08669696 12.75486617 1.15608207 0.08617108 12.88052988 1.14916670 0.08564850 13.00619359 1.14232679 0.08512924 13.13185729 1.13556127 0.08461338 13.25752100 1.12886924 0.08410110 13.38318470 1.12224965 0.08359245 13.50884841 1.11570164 0.08308761 13.63451212 1.10922421 0.08258666 13.76017582 1.10281639 0.08208967 13.88583953 1.09647733 0.08159679 14.01150324 1.09020603 0.08110805 14.13716694 1.08400175 0.08062364 14.26283065 1.07786334 0.08014346 14.38849435 1.07179013 0.07966772 14.51415806 1.06578107 0.07919635 14.63982177 1.05983533 0.07872943 14.76548547 1.05395199 0.07826697 14.89114918 1.04813017 0.07780896 15.01681288 1.04236896 0.07735538 15.14247659 1.03666749 0.07690622 15.26814030 1.03102494 0.07646150 15.39380400 1.02544036 0.07602112 15.51946771 1.01991296 0.07558509 15.64513141 1.01444183 0.07515330 15.77079512 1.00902614 0.07472573 15.89645883 1.00366508 0.07430234 16.02212253 0.99835777 0.07388300 16.14778624 0.99310344 0.07346769 16.27344995 0.98790130 0.07305635 16.39911365 0.98275056 0.07264889 16.52477736 0.97765037 0.07224521 16.65044106 0.97260014 0.07184535 16.77610477 0.96759891 0.07144910 16.90176848 0.96264619 0.07105655 17.02743218 0.95774104 0.07066748 17.15309589 0.95288301 0.07028202 17.27875959 0.94807119 0.06989994 17.40442330 0.94330505 0.06952129 17.53008701 0.93858396 0.06914605 17.65575071 0.93390722 0.06877411 17.78141442 0.92927422 0.06840544 17.90707813 0.92468445 0.06804007 18.03274183 0.92013718 0.06767788 18.15840554 0.91563199 0.06731893 18.28406924 0.91116822 0.06696314 18.40973295 0.90674531 0.06661047 18.53539666 0.90236281 0.06626097 18.66106036 0.89802007 0.06591450 18.78672407 0.89371671 0.06557116 18.91238777 0.88945213 0.06523087 19.03805148 0.88522586 0.06489360 19.16371519 0.88103741 0.06455936 19.28937889 0.87688623 0.06422805 19.41504260 0.87277202 0.06389978 19.54070631 0.86869414 0.06357442 19.66637001 0.86465216 0.06325195 19.79203372 0.86064572 0.06293240 19.91769742 0.85667427 0.06261570 20.04336113 0.85273742 0.06230183 20.16902484 0.84883476 0.06199080 20.29468854 0.84496577 0.06168249 20.42035225 0.84113009 0.06137694 20.54601595 0.83732728 0.06107407 20.67167966 0.83355698 0.06077392 20.79734337 0.82981868 0.06047636 20.92300707 0.82611211 0.06018144 21.04867078 0.82243672 0.05988904 21.17433449 0.81879226 0.05959921 21.29999819 0.81517825 0.05931184 21.42566190 0.81159437 0.05902695 21.55132560 0.80804022 0.05874448 21.67698931 0.80451545 0.05846440 21.80265302 0.80101969 0.05818666 21.92831672 0.79755259 0.05791126 22.05398043 0.79411380 0.05763815 22.17964413 0.79070296 0.05736727 22.30530784 0.78731979 0.05709866 22.43097155 0.78396388 0.05683220 22.55663525 0.78063499 0.05656796 22.68229896 0.77733274 0.05630584 22.80796267 0.77405686 0.05604584 22.93362637 0.77080701 0.05578794 23.05929008 0.76758291 0.05553211 23.18495378 0.76438429 0.05527835 23.31061749 0.76121079 0.05502659 23.43628120 0.75806220 0.05477687 23.56194490 0.75493821 0.05452913 23.68760861 0.75183855 0.05428338 23.81327231 0.74876294 0.05403958 23.93893602 0.74571115 0.05379773 24.06459973 0.74268287 0.05355780 24.19026343 0.73967790 0.05331980 24.31592714 0.73669595 0.05308370 24.44159084 0.73373677 0.05284947 24.56725455 0.73080015 0.05261713 24.69291826 0.72788581 0.05238664 24.81858196 0.72499355 0.05215800 24.94424567 0.72212310 0.05193119 25.06990938 0.71927426 0.05170620 25.19557308 0.71644679 0.05148302 25.44690049 0.71085506 0.05104201 25.57256420 0.70809036 0.05082415 25.82389161 0.70262222 0.05039368 25.94955532 0.69991835 0.05018103 26.20088273 0.69456996 0.04976083 26.32654644 0.69192504 0.04955325 26.57787385 0.68669270 0.04914304 26.82920126 0.68153577 0.04873934 26.95486497 0.67898509 0.04853989 27.20619238 0.67393834 0.04814569 27.45751979 0.66896317 0.04775767 27.58318350 0.66650196 0.04756593 27.83451091 0.66163143 0.04718691 28.08583832 0.65682891 0.04681374 28.21150203 0.65445271 0.04662930 28.46282944 0.64974961 0.04626464 28.71415685 0.64511114 0.04590549 28.96548427 0.64053603 0.04555174 29.09114797 0.63827181 0.04537683 29.34247538 0.63378936 0.04503092 29.59380280 0.62936716 0.04469009 29.84513021 0.62500403 0.04435422 30.09645762 0.62069883 0.04402320 30.34778503 0.61645046 0.04369693 30.47344874 0.61434724 0.04353555 30.72477615 0.61018205 0.04321620 30.97610356 0.60607101 0.04290135 31.22743098 0.60201309 0.04259088 31.47875839 0.59800729 0.04228471 31.73008580 0.59405265 0.04198275 31.98141321 0.59014822 0.04168491 32.23274063 0.58629308 0.04139110 32.48406804 0.58248631 0.04110125 32.73539545 0.57872705 0.04081528 32.98672286 0.57501443 0.04053309 33.23805027 0.57134763 0.04025464 33.48937769 0.56772581 0.03997983 33.74070510 0.56414818 0.03970860 33.99203251 0.56061397 0.03944088 34.24335992 0.55712240 0.03917661 34.49468734 0.55367274 0.03891572 34.74601475 0.55026425 0.03865814 34.99734216 0.54689623 0.03840382 35.37433328 0.54191857 0.03802832 35.62566069 0.53864871 0.03778188 35.87698810 0.53541695 0.03753849 36.12831552 0.53222265 0.03729811 36.37964293 0.52906519 0.03706066 36.75663405 0.52439670 0.03670991 37.00796146 0.52132865 0.03647961 37.25928887 0.51829533 0.03625207 37.51061628 0.51529618 0.03602725 37.88760740 0.51086030 0.03569502 38.13893481 0.50794416 0.03547681 38.39026223 0.50506028 0.03526115 38.76725335 0.50079382 0.03494236 39.01858076 0.49798836 0.03473292 39.39557188 0.49383721 0.03442326 39.64689929 0.49110710 0.03421978 39.89822670 0.48840631 0.03401860 40.27521782 0.48440909 0.03372110 40.52654523 0.48177960 0.03352554 40.90353635 0.47788728 0.03323630 41.15486376 0.47532638 0.03304614 41.53185488 0.47153498 0.03276483 41.78318229 0.46904008 0.03257986 42.16017341 0.46534582 0.03230616 42.53716453 0.46170811 0.03203690 42.78849194 0.45931376 0.03185979 43.16548306 0.45576751 0.03159768 43.41681047 0.45343301 0.03142525 43.79380159 0.44997490 0.03117002 44.17079271 0.44656813 0.03091878 44.54778383 0.44321161 0.03067146 44.79911124 0.44100129 0.03050870 45.17610236 0.43772611 0.03026770 45.55309348 0.43449835 0.03003038 45.93008460 0.43131702 0.02979666 46.18141201 0.42922143 0.02964280 46.55840313 0.42611532 0.02941491 46.93539424 0.42305308 0.02919040 47.31238536 0.42003382 0.02896922 47.68937648 0.41705666 0.02875128 48.06636760 0.41412074 0.02853652 48.44335872 0.41122521 0.02832487 48.82034984 0.40836928 0.02811627 49.19734096 0.40555214 0.02791065 49.57433207 0.40277302 0.02770795 49.95132319 0.40003118 0.02750812 50.32831431 0.39732587 0.02731108 50.70530543 0.39465640 0.02711678 51.08229655 0.39202205 0.02692518 51.45928767 0.38942215 0.02673620 51.83627878 0.38685604 0.02654981 52.33893361 0.38348601 0.02630521 52.71592473 0.38099626 0.02612465 53.09291585 0.37853822 0.02594649 53.46990696 0.37611128 0.02577071 53.97256179 0.37292276 0.02553993 54.34955291 0.37056618 0.02536949 54.72654403 0.36823884 0.02520127 55.22919885 0.36518026 0.02498035 55.60618997 0.36291907 0.02481714 55.98318109 0.36068539 0.02465602 56.48583591 0.35774907 0.02444435 56.86282703 0.35557765 0.02428794 57.36548185 0.35272265 0.02408242 57.74247297 0.35061097 0.02393050 58.24512780 0.34783399 0.02373087 58.62211892 0.34577963 0.02358327 59.12477374 0.34307755 0.02338927 59.62742857 0.34041692 0.02319839 60.00441968 0.33844809 0.02305722 60.50707451 0.33585778 0.02287162 61.00972933 0.33330641 0.02268893 61.38672045 0.33141792 0.02255379 61.88937528 0.32893264 0.02237606 62.39203010 0.32648399 0.02220106 62.89468492 0.32407117 0.02202874 63.39733975 0.32169341 0.02185904 63.89999457 0.31934995 0.02169189 64.40264940 0.31704006 0.02152725 64.77964052 0.31532925 0.02140538 65.28229534 0.31307641 0.02124499 65.78495017 0.31085524 0.02108695 66.41326870 0.30812230 0.02089264 66.91592352 0.30596999 0.02073972 67.41857835 0.30384727 0.02058899 67.92123317 0.30175354 0.02044041 68.42388800 0.29968820 0.02029394 68.92654282 0.29765070 0.02014952 69.42919764 0.29564046 0.02000712 70.05751618 0.29316520 0.01983190 70.56017100 0.29121437 0.01969389 71.06282582 0.28928911 0.01955777 71.69114435 0.28691773 0.01939021 72.19379918 0.28504820 0.01925819 72.82211771 0.28274497 0.01909565 73.32477253 0.28092879 0.01896756 73.95309107 0.27869083 0.01880982 74.45574589 0.27692575 0.01868548 75.08406442 0.27475034 0.01853233 75.58671925 0.27303425 0.01841159 76.21503778 0.27091881 0.01826283 76.84335631 0.26883561 0.01811644 77.34601113 0.26719179 0.01800099 77.97432966 0.26516484 0.01785871 78.60264819 0.26316814 0.01771864 79.23096672 0.26120105 0.01758073 79.85928525 0.25926290 0.01744493 80.36194008 0.25773279 0.01733778 80.99025861 0.25584516 0.01720566 81.61857714 0.25398475 0.01707553 82.24689567 0.25215098 0.01694733 82.87521420 0.25034328 0.01682102 83.62919644 0.24820767 0.01667190 84.25751497 0.24645541 0.01654962 84.88583350 0.24472751 0.01642911 85.51415203 0.24302348 0.01631033 86.14247056 0.24134281 0.01619324 86.89645280 0.23935619 0.01605491 87.52477133 0.23772528 0.01594142 88.15308986 0.23611626 0.01582951 88.90707210 0.23421372 0.01569725 89.53539063 0.23265134 0.01558871 90.28937286 0.23080355 0.01546041 90.91769139 0.22928582 0.01535508 91.67167363 0.22749047 0.01523055 92.42565587 0.22572278 0.01510802 93.05397440 0.22427038 0.01500739 93.80795664 0.22255178 0.01488838 94.56193887 0.22085910 0.01477123 95.19025740 0.21946792 0.01467500 95.94423964 0.21782127 0.01456115 96.69822188 0.21619895 0.01444904 97.45220411 0.21460041 0.01433864 98.20618635 0.21302514 0.01422990 98.96016859 0.21147263 0.01412279 99.71415082 0.20994241 0.01401727 100.46813306 0.20843398 0.01391330 101.34777900 0.20670110 0.01379393 102.10176124 0.20523835 0.01369322 102.85574348 0.20379598 0.01359397 103.60972572 0.20237359 0.01349613 104.48937166 0.20073880 0.01338375 105.24335390 0.19935827 0.01328889 106.12299984 0.19777125 0.01317990 106.87698208 0.19643076 0.01308788 107.75662802 0.19488944 0.01298213 108.51061025 0.19358729 0.01289284 109.39025620 0.19208974 0.01279019 110.26990214 0.19061500 0.01268916 111.14954808 0.18916254 0.01258970 111.90353032 0.18793493 0.01250568 112.78317626 0.18652254 0.01240905 113.66282221 0.18513105 0.01231390 114.54246815 0.18376000 0.01222019 115.42211409 0.18240894 0.01212789 116.30176004 0.18107744 0.01203697 117.18140598 0.17976508 0.01194740 118.18671563 0.17828815 0.01184664 119.06636157 0.17701544 0.01175985 119.94600751 0.17576062 0.01167432 120.95131716 0.17434798 0.01157808 121.83096311 0.17313027 0.01149516 122.83627276 0.17175909 0.01140182 123.71591870 0.17057686 0.01132139 124.72122835 0.16924535 0.01123083 125.60087429 0.16809708 0.01115277 126.60618394 0.16680355 0.01106488 127.61149359 0.16552962 0.01097835 128.61680324 0.16427485 0.01089316 129.62211289 0.16303880 0.01080928 130.62742254 0.16182107 0.01072667 131.63273219 0.16062126 0.01064532 132.63804183 0.15943897 0.01056518 133.64335148 0.15827381 0.01048624 134.64866113 0.15712544 0.01040847 135.65397078 0.15599347 0.01033183 136.78494414 0.15473920 0.01024696 137.79025379 0.15364098 0.01017267 138.92122714 0.15242382 0.01009037 139.92653679 0.15135786 0.01001832 141.05751015 0.15017620 0.00993848 142.06281980 0.14914110 0.00986857 143.19379315 0.14799340 0.00979108 144.32476651 0.14686311 0.00971480 145.45573986 0.14574982 0.00963969 146.58671322 0.14465316 0.00956574 147.71768657 0.14357276 0.00949290 148.84865993 0.14250826 0.00942117 149.97963328 0.14145931 0.00935050 151.11060664 0.14042558 0.00928089 152.24157999 0.13940674 0.00921230 153.49821705 0.13829177 0.00913727 154.62919041 0.13730333 0.00907078 155.88582747 0.13622139 0.00899802 157.01680083 0.13526202 0.00893353 158.27343789 0.13421166 0.00886294 159.53007495 0.13317738 0.00879346 160.66104830 0.13225997 0.00873185 161.91768537 0.13125523 0.00866439 163.17432243 0.13026554 0.00859797 164.43095949 0.12929057 0.00853255 165.68759655 0.12832998 0.00846813 167.06989732 0.12728957 0.00839837 168.32653438 0.12635818 0.00833594 169.58317144 0.12544024 0.00827443 170.96547221 0.12444568 0.00820780 172.22210927 0.12355503 0.00814816 173.60441004 0.12258984 0.00808354 174.86104710 0.12172530 0.00802568 176.24334787 0.12078819 0.00796298 177.62564863 0.11986531 0.00790125 179.00794940 0.11895634 0.00784047 180.39025017 0.11806097 0.00778061 181.77255094 0.11717889 0.00772166 183.15485170 0.11630982 0.00766359 184.66281618 0.11537623 0.00760124 186.04511695 0.11453343 0.00754496 187.42741771 0.11370279 0.00748950 188.93538219 0.11281018 0.00742993 190.31768295 0.11200411 0.00737615 191.82564743 0.11113772 0.00731836 193.33361190 0.11028456 0.00726146 194.84157638 0.10944432 0.00720544 196.34954085 0.10861671 0.00715028 197.85750532 0.10780146 0.00709595 199.36546980 0.10699828 0.00704244 200.87343427 0.10620693 0.00698973 202.50706245 0.10536265 0.00693352 204.01502692 0.10459509 0.00688242 205.64865510 0.10377601 0.00682790 207.15661958 0.10303119 0.00677834 208.79024776 0.10223621 0.00672545 210.42387594 0.10145333 0.00667339 212.05750412 0.10068230 0.00662212 213.69113230 0.09992284 0.00657163 215.32476048 0.09917469 0.00652190 216.95838866 0.09843761 0.00647292 218.59201684 0.09771134 0.00642467 220.35130872 0.09694105 0.00637351 221.98493690 0.09623652 0.00632672 223.74422879 0.09548910 0.00627710 225.50352067 0.09475315 0.00622824 227.26281256 0.09402840 0.00618015 229.02210445 0.09331461 0.00613278 230.78139633 0.09261152 0.00608614 232.54068822 0.09191890 0.00604020 234.29998010 0.09123652 0.00599495 236.18493570 0.09051650 0.00594721 237.94422758 0.08985461 0.00590334 239.82918318 0.08915606 0.00585704 241.71413877 0.08846825 0.00581147 243.47343065 0.08783575 0.00576956 245.35838625 0.08716799 0.00572533 247.24334184 0.08651027 0.00568177 249.25396114 0.08581950 0.00563604 251.13891673 0.08518182 0.00559382