# omega total a= 1 L= 2 0.06283185 0.14082873 0.00675426 0.18849556 0.31575314 0.01758867 0.31415927 0.48106511 0.02794573 0.43982297 0.63702484 0.03762035 0.56548668 0.78329892 0.04649343 0.69115038 0.91943913 0.05452595 0.81681409 1.04513757 0.06175284 0.94247780 1.16029841 0.06825331 1.06814150 1.26502202 0.07411887 1.19380521 1.35956581 0.07943178 1.31946891 1.44429980 0.08425153 1.44513262 1.51967422 0.08861368 1.57079633 1.58619840 0.09253695 1.69646003 1.64442727 0.09603380 1.82212374 1.69495142 0.09912082 1.94778745 1.73838640 0.10182535 2.07345115 1.77535874 0.10418671 2.19911486 1.80648813 0.10625180 2.32477856 1.83236914 0.10806801 2.45044227 1.85355545 0.10967584 2.57610598 1.87054990 0.11110416 2.70176968 1.88380158 0.11236918 2.82743339 1.89370917 0.11347695 2.95309709 1.90062843 0.11442819 3.07876080 1.90488136 0.11522388 3.20442451 1.90676413 0.11586954 3.33008821 1.90655203 0.11637714 3.45575192 1.90450087 0.11676434 3.58141563 1.90084559 0.11705160 3.70707933 1.89579788 0.11725862 3.83274304 1.88954446 0.11740141 3.95840674 1.88224707 0.11749073 4.08407045 1.87404426 0.11753204 4.20973416 1.86505488 0.11752681 4.33539786 1.85538198 0.11747441 4.46106157 1.84511673 0.11737402 4.58672527 1.83434139 0.11722605 4.71238898 1.82313121 0.11703274 4.83805269 1.81155508 0.11679789 4.96371639 1.79967560 0.11652625 5.08938010 1.78754866 0.11622244 5.21504380 1.77522322 0.11589027 5.34070751 1.76274152 0.11553232 5.46637122 1.75013972 0.11514998 5.59203492 1.73744900 0.11474386 5.71769863 1.72469665 0.11431437 5.84336234 1.71190728 0.11386232 5.96902604 1.69910359 0.11338925 6.09468975 1.68630676 0.11289756 6.22035345 1.67353654 0.11239029 6.34601716 1.66081102 0.11187080 6.47168087 1.64814630 0.11134234 6.59734457 1.63555629 0.11080769 6.72300828 1.62305260 0.11026894 6.84867198 1.61064458 0.10972741 6.97433569 1.59833962 0.10918377 7.09999940 1.58614346 0.10863815 7.22566310 1.57406053 0.10809040 7.35132681 1.56209427 0.10754020 7.47699052 1.55024743 0.10698724 7.60265422 1.53852220 0.10643132 7.72831793 1.52692036 0.10587232 7.85398163 1.51544332 0.10531025 7.97964534 1.50409219 0.10474524 8.10530905 1.49286785 0.10417753 8.23097275 1.48177091 0.10360741 8.35663646 1.47080180 0.10303526 8.48230016 1.45996082 0.10246156 8.60796387 1.44924808 0.10188681 8.73362758 1.43866358 0.10131157 8.85929128 1.42820718 0.10073645 8.98495499 1.41787856 0.10016198 9.11061870 1.40767719 0.09958867 9.23628240 1.39760235 0.09901695 9.36194611 1.38765306 0.09844713 9.48760981 1.37782816 0.09787941 9.61327352 1.36812626 0.09731391 9.73893723 1.35854577 0.09675061 9.86460093 1.34908501 0.09618945 9.99026464 1.33974219 0.09563033 10.11592834 1.33051545 0.09507312 10.24159205 1.32140300 0.09451776 10.36725576 1.31240305 0.09396420 10.49291946 1.30351390 0.09341245 10.61858317 1.29473391 0.09286261 10.74424688 1.28606155 0.09231484 10.86991058 1.27749539 0.09176937 10.99557429 1.26903400 0.09122643 11.12123799 1.26067605 0.09068632 11.24690170 1.25242019 0.09014933 11.37256541 1.24426512 0.08961572 11.49822911 1.23620951 0.08908579 11.62389282 1.22825197 0.08855971 11.74955652 1.22039112 0.08803768 11.87522023 1.21262559 0.08751988 12.00088394 1.20495380 0.08700628 12.12654764 1.19737437 0.08649705 12.25221135 1.18988579 0.08599217 12.37787506 1.18248654 0.08549165 12.50353876 1.17517510 0.08499544 12.62920247 1.16794996 0.08450349 12.75486617 1.16080963 0.08401576 12.88052988 1.15375271 0.08353224 13.00619359 1.14677772 0.08305283 13.13185729 1.13988319 0.08257745 13.25752100 1.13306789 0.08210617 13.38318470 1.12633026 0.08163874 13.50884841 1.11966914 0.08117528 13.63451212 1.11308314 0.08071566 13.76017582 1.10657101 0.08025983 13.88583953 1.10013150 0.07980776 14.01150324 1.09376338 0.07935937 14.13716694 1.08746546 0.07891464 14.26283065 1.08123653 0.07847347 14.38849435 1.07507547 0.07803583 14.51415806 1.06898115 0.07760168 14.63982177 1.06295245 0.07717095 14.76548547 1.05698829 0.07674359 14.89114918 1.05108762 0.07631956 15.01681288 1.04524942 0.07589883 15.14247659 1.03947269 0.07548136 15.26814030 1.03375645 0.07506710 15.39380400 1.02809973 0.07465603 15.51946771 1.02250161 0.07424812 15.64513141 1.01696121 0.07384337 15.77079512 1.01147762 0.07344175 15.89645883 1.00605000 0.07304326 16.02212253 1.00067751 0.07264789 16.14778624 0.99535936 0.07225564 16.27344995 0.99009472 0.07186649 16.39911365 0.98488281 0.07148045 16.52477736 0.97972289 0.07109751 16.65044106 0.97461421 0.07071768 16.77610477 0.96955603 0.07034095 16.90176848 0.96454763 0.06996730 17.02743218 0.95958832 0.06959677 17.15309589 0.95467741 0.06922931 17.27875959 0.94981421 0.06886494 17.40442330 0.94499806 0.06850363 17.53008701 0.94022829 0.06814537 17.65575071 0.93550428 0.06779017 17.78141442 0.93082537 0.06743799 17.90707813 0.92619094 0.06708882 18.03274183 0.92160039 0.06674265 18.15840554 0.91705311 0.06639945 18.28406924 0.91254848 0.06605919 18.40973295 0.90808592 0.06572185 18.53539666 0.90366489 0.06538742 18.66106036 0.89928476 0.06505584 18.78672407 0.89494506 0.06472714 18.91238777 0.89064514 0.06440123 19.03805148 0.88638454 0.06407813 19.16371519 0.88216266 0.06375776 19.28937889 0.87797903 0.06344013 19.41504260 0.87383311 0.06312520 19.54070631 0.86972441 0.06281295 19.66637001 0.86565240 0.06250330 19.79203372 0.86161663 0.06219628 19.91769742 0.85761662 0.06189184 20.04336113 0.85365183 0.06158990 20.16902484 0.84972190 0.06129052 20.29468854 0.84582629 0.06099359 20.42035225 0.84196458 0.06069911 20.54601595 0.83813633 0.06040705 20.67167966 0.83434111 0.06011737 20.79734337 0.83057848 0.05983005 20.92300707 0.82684804 0.05954506 21.04867078 0.82314936 0.05926236 21.17433449 0.81948206 0.05898195 21.29999819 0.81584571 0.05870375 21.42566190 0.81223995 0.05842778 21.55132560 0.80866438 0.05815399 21.67698931 0.80511863 0.05788236 21.80265302 0.80160235 0.05761288 21.92831672 0.79811514 0.05734550 22.05398043 0.79465668 0.05708021 22.17964413 0.79122660 0.05681699 22.30530784 0.78782458 0.05655583 22.43097155 0.78445026 0.05629668 22.55663525 0.78110333 0.05603955 22.68229896 0.77778345 0.05578440 22.80796267 0.77449033 0.05553123 22.93362637 0.77122363 0.05528001 23.05929008 0.76798307 0.05503074 23.18495378 0.76476834 0.05478339 23.31061749 0.76157914 0.05453796 23.43628120 0.75841519 0.05429443 23.56194490 0.75527620 0.05405278 23.68760861 0.75216190 0.05381301 23.81327231 0.74907200 0.05357510 23.93893602 0.74600625 0.05333905 24.06459973 0.74296436 0.05310482 24.19026343 0.73994610 0.05287244 24.31592714 0.73695118 0.05264187 24.44159084 0.73397937 0.05241310 24.56725455 0.73103041 0.05218614 24.69291826 0.72810404 0.05196095 24.81858196 0.72520004 0.05173754 24.94424567 0.72231816 0.05151589 25.06990938 0.71945816 0.05129598 25.19557308 0.71661982 0.05107782 25.44690049 0.71100714 0.05064665 25.57256420 0.70823237 0.05043363 25.82389161 0.70274482 0.05001262 25.94955532 0.70003162 0.04980461 26.20088273 0.69466526 0.04939350 26.32654644 0.69201169 0.04919038 26.57787385 0.68676272 0.04878892 26.82920126 0.68158997 0.04839373 26.95486497 0.67903168 0.04819846 27.20619238 0.67397028 0.04781244 27.45751979 0.66898120 0.04743240 27.58318350 0.66651330 0.04724456 27.83451091 0.66162989 0.04687321 28.08583832 0.65681511 0.04650748 28.21150203 0.65443303 0.04632670 28.46282944 0.64971859 0.04596919 28.71415685 0.64506933 0.04561699 28.96548427 0.64048396 0.04527000 29.09114797 0.63821482 0.04509841 29.34247538 0.63372286 0.04475899 29.59380280 0.62929164 0.04442447 29.84513021 0.62491993 0.04409474 30.09645762 0.62060659 0.04376970 30.34778503 0.61635047 0.04344924 30.47344874 0.61424352 0.04329069 30.72477615 0.61007117 0.04297691 30.97610356 0.60595331 0.04266747 31.22743098 0.60188892 0.04236227 31.47875839 0.59787698 0.04206122 31.73008580 0.59391651 0.04176424 31.98141321 0.59000653 0.04147124 32.23274063 0.58614613 0.04118214 32.48406804 0.58233438 0.04089687 32.73539545 0.57857039 0.04061535 32.98672286 0.57485328 0.04033751 33.23805027 0.57118222 0.04006327 33.48937769 0.56755638 0.03979256 33.74070510 0.56397493 0.03952533 33.99203251 0.56043711 0.03926150 34.24335992 0.55694212 0.03900101 34.49468734 0.55348923 0.03874380 34.74601475 0.55007770 0.03848981 34.99734216 0.54670680 0.03823898 35.37433328 0.54172511 0.03786854 35.62566069 0.53845277 0.03762537 35.87698810 0.53521867 0.03738517 36.12831552 0.53202217 0.03714789 36.37964293 0.52886263 0.03691347 36.75663405 0.52419128 0.03656711 37.00796146 0.52112147 0.03633964 37.25928887 0.51808651 0.03611487 37.51061628 0.51508583 0.03589275 37.88760740 0.51064784 0.03556444 38.13893481 0.50773041 0.03534875 38.39026223 0.50484534 0.03513556 38.76725335 0.50057728 0.03482037 39.01858076 0.49777085 0.03461325 39.39557188 0.49361840 0.03430698 39.64689929 0.49088751 0.03410568 39.89822670 0.48818602 0.03390664 40.27521782 0.48418787 0.03361224 40.52654523 0.48155785 0.03341870 40.90353635 0.47766484 0.03313239 41.15486376 0.47510356 0.03294413 41.53185488 0.47131169 0.03266558 41.78318229 0.46881655 0.03248240 42.16017341 0.46512201 0.03221131 42.53716453 0.46148412 0.03194457 42.78849194 0.45908971 0.03176910 43.16548306 0.45554345 0.03150937 43.41681047 0.45320899 0.03133849 43.79380159 0.44975100 0.03108551 44.17079271 0.44634445 0.03083646 44.54778383 0.44298820 0.03059125 44.79911124 0.44077811 0.03042986 45.17610236 0.43750332 0.03019086 45.55309348 0.43427602 0.02995548 45.93008460 0.43109519 0.02972363 46.18141201 0.42899998 0.02957099 46.55840313 0.42589446 0.02934487 46.93539424 0.42283288 0.02912209 47.31238536 0.41981431 0.02890258 47.68937648 0.41683788 0.02868626 48.06636760 0.41390272 0.02847308 48.44335872 0.41100800 0.02826296 48.82034984 0.40815290 0.02805584 49.19734096 0.40533663 0.02785165 49.57433207 0.40255841 0.02765035 49.95132319 0.39981749 0.02745186 50.32831431 0.39711313 0.02725614 50.70530543 0.39444461 0.02706312 51.08229655 0.39181125 0.02687275 51.45928767 0.38921236 0.02668498 51.83627878 0.38664727 0.02649976 52.33893361 0.38327862 0.02625667 52.71592473 0.38078993 0.02607720 53.09291585 0.37833296 0.02590011 53.46990696 0.37590710 0.02572536 53.97256179 0.37272003 0.02549591 54.34955291 0.37036455 0.02532644 54.72654403 0.36803832 0.02515917 55.22919885 0.36498123 0.02493947 55.60618997 0.36272116 0.02477715 55.98318109 0.36048860 0.02461689 56.48583591 0.35755378 0.02440634 56.86282703 0.35538350 0.02425073 57.36548185 0.35253001 0.02404626 57.74247297 0.35041947 0.02389511 58.24512780 0.34764400 0.02369646 58.62211892 0.34559079 0.02354959 59.12477374 0.34289021 0.02335652 59.62742857 0.34023110 0.02316653 60.00441968 0.33826340 0.02302602 60.50707451 0.33567460 0.02284126 61.00972933 0.33312473 0.02265940 61.38672045 0.33123736 0.02252486 61.88937528 0.32875357 0.02234789 62.39203010 0.32630641 0.02217365 62.89468492 0.32389507 0.02200205 63.39733975 0.32151877 0.02183305 63.89999457 0.31917678 0.02166659 64.40264940 0.31686834 0.02150261 64.77964052 0.31515861 0.02138122 65.28229534 0.31290722 0.02122145 65.78495017 0.31068747 0.02106402 66.41326870 0.30795630 0.02087044 66.91592352 0.30580539 0.02071808 67.41857835 0.30368407 0.02056790 67.92123317 0.30159171 0.02041986 68.42388800 0.29952774 0.02027390 68.92654282 0.29749160 0.02012999 69.42919764 0.29548271 0.01998807 70.05751618 0.29300911 0.01981344 70.56017100 0.29105961 0.01967588 71.06282582 0.28913565 0.01954020 71.69114435 0.28676589 0.01937318 72.19379918 0.28489764 0.01924158 72.82211771 0.28259600 0.01907954 73.32477253 0.28078107 0.01895184 73.95309107 0.27854466 0.01879457 74.45574589 0.27678081 0.01867059 75.08406442 0.27460691 0.01851789 75.58671925 0.27289202 0.01839749 76.21503778 0.27077806 0.01824915 76.84335631 0.26869633 0.01810316 77.34601113 0.26705367 0.01798802 77.97432966 0.26502814 0.01784612 78.60264819 0.26303286 0.01770642 79.23096672 0.26106716 0.01756886 79.85928525 0.25913038 0.01743341 80.36194008 0.25760136 0.01732652 80.99025861 0.25571507 0.01719473 81.61857714 0.25385599 0.01706491 82.24689567 0.25202352 0.01693701 82.87521420 0.25021711 0.01681100 83.62919644 0.24808303 0.01666222 84.25751497 0.24633202 0.01654022 84.88583350 0.24460536 0.01641997 85.51415203 0.24290254 0.01630145 86.14247056 0.24122307 0.01618461 86.89645280 0.23923787 0.01604657 87.52477133 0.23760813 0.01593331 88.15308986 0.23600026 0.01582163 88.90707210 0.23409908 0.01568964 89.53539063 0.23253782 0.01558131 90.28937286 0.23069135 0.01545326 90.91769139 0.22917470 0.01534813 91.67167363 0.22738063 0.01522383 92.42565587 0.22561420 0.01510152 93.05397440 0.22416284 0.01500107 93.80795664 0.22244546 0.01488227 94.56193887 0.22075399 0.01476533 95.19025740 0.21936380 0.01466926 95.94423964 0.21771832 0.01455560 96.69822188 0.21609714 0.01444368 97.45220411 0.21449973 0.01433346 98.20618635 0.21292557 0.01422489 98.96016859 0.21137416 0.01411795 99.71415082 0.20984501 0.01401259 100.46813306 0.20833764 0.01390878 101.34777900 0.20660597 0.01378959 102.10176124 0.20514425 0.01368902 102.85574348 0.20370289 0.01358991 103.60972572 0.20228148 0.01349221 104.48937166 0.20064783 0.01337998 105.24335390 0.19926825 0.01328525 106.12299984 0.19768233 0.01317641 106.87698208 0.19634276 0.01308451 107.75662802 0.19480251 0.01297890 108.51061025 0.19350125 0.01288971 109.39025620 0.19200472 0.01278719 110.26990214 0.19053099 0.01268628 111.14954808 0.18907951 0.01258694 111.90353032 0.18785274 0.01250302 112.78317626 0.18644131 0.01240650 113.66282221 0.18505075 0.01231146 114.54246815 0.18368062 0.01221785 115.42211409 0.18233047 0.01212565 116.30176004 0.18099985 0.01203483 117.18140598 0.17968836 0.01194535 118.18671563 0.17821241 0.01184469 119.06636157 0.17694054 0.01175799 119.94600751 0.17568655 0.01167255 120.95131716 0.17427483 0.01157640 121.83096311 0.17305791 0.01149355 122.83627276 0.17168763 0.01140031 123.71591870 0.17050616 0.01131994 124.72122835 0.16917551 0.01122947 125.60087429 0.16802798 0.01115148 126.60618394 0.16673528 0.01106366 127.61149359 0.16546216 0.01097720 128.61680324 0.16420818 0.01089208 129.62211289 0.16297292 0.01080827 130.62742254 0.16175596 0.01072573 131.63273219 0.16055690 0.01064443 132.63804183 0.15937534 0.01056436 133.64335148 0.15821091 0.01048548 134.64866113 0.15706324 0.01040776 135.65397078 0.15593198 0.01033118 136.78494414 0.15467848 0.01024636 137.79025379 0.15358092 0.01017213 138.92122714 0.15236450 0.01008988 139.92653679 0.15129918 0.01001788 141.05751015 0.15011823 0.00993809 142.06281980 0.14908375 0.00986822 143.19379315 0.14793674 0.00979078 144.32476651 0.14680712 0.00971455 145.45573986 0.14569449 0.00963949 146.58671322 0.14459847 0.00956557 147.71768657 0.14351870 0.00949278 148.84865993 0.14245481 0.00942108 149.97963328 0.14140647 0.00935046 151.11060664 0.14037334 0.00928088 152.24157999 0.13935508 0.00921233 153.49821705 0.13824075 0.00913734 154.62919041 0.13725287 0.00907087 155.88582747 0.13617154 0.00899815 157.01680083 0.13521270 0.00893369 158.27343789 0.13416293 0.00886313 159.53007495 0.13312923 0.00879368 160.66104830 0.13221232 0.00873210 161.91768537 0.13120814 0.00866467 163.17432243 0.13021899 0.00859828 164.43095949 0.12924454 0.00853289 165.68759655 0.12828447 0.00846848 167.06989732 0.12724462 0.00839875 168.32653438 0.12631373 0.00833635 169.58317144 0.12539628 0.00827486 170.96547221 0.12440224 0.00820826 172.22210927 0.12351207 0.00814863 173.60441004 0.12254738 0.00808404 174.86104710 0.12168329 0.00802620 176.24334787 0.12074667 0.00796352 177.62564863 0.11982426 0.00790180 179.00794940 0.11891576 0.00784104 180.39025017 0.11802084 0.00778120 181.77255094 0.11713920 0.00772227 183.15485170 0.11627057 0.00766422 184.66281618 0.11533745 0.00760188 186.04511695 0.11449507 0.00754561 187.42741771 0.11366484 0.00749017 188.93538219 0.11277267 0.00743062 190.31768295 0.11196699 0.00737685 191.82564743 0.11110103 0.00731907 193.33361190 0.11024827 0.00726218 194.84157638 0.10940844 0.00720617 196.34954085 0.10858123 0.00715102 197.85750532 0.10776636 0.00709671 199.36546980 0.10696357 0.00704321 200.87343427 0.10617258 0.00699051 202.50706245 0.10532871 0.00693430 204.01502692 0.10456150 0.00688321 205.64865510 0.10374281 0.00682871 207.15661958 0.10299832 0.00677915 208.79024776 0.10220371 0.00672628 210.42387594 0.10142119 0.00667421 212.05750412 0.10065050 0.00662295 213.69113230 0.09989138 0.00657247 215.32476048 0.09914357 0.00652275 216.95838866 0.09840681 0.00647378 218.59201684 0.09768087 0.00642553 220.35130872 0.09691092 0.00637437 221.98493690 0.09620669 0.00632759 223.74422879 0.09545960 0.00627797 225.50352067 0.09472397 0.00622913 227.26281256 0.09399954 0.00618103 229.02210445 0.09328605 0.00613367 230.78139633 0.09258326 0.00608703 232.54068822 0.09189094 0.00604110 234.29998010 0.09120884 0.00599585 236.18493570 0.09048912 0.00594812 237.94422758 0.08982752 0.00590424 239.82918318 0.08912926 0.00585795 241.71413877 0.08844172 0.00581238 243.47343065 0.08780948 0.00577048 245.35838625 0.08714200 0.00572625 247.24334184 0.08648454 0.00568269 249.25396114 0.08579406 0.00563695 251.13891673 0.08515663 0.00559474