# omega total a= 1 L= 2 0.06283185 0.13958410 0.00655678 0.18849556 0.31371862 0.01705299 0.31415927 0.47838026 0.02717341 0.43982297 0.63394346 0.03675169 0.56548668 0.78007976 0.04567312 0.69115038 0.91630293 0.05387164 0.81681409 1.04223106 0.06133232 0.94247780 1.15768218 0.06807850 1.06814150 1.26268368 0.07415614 1.19380521 1.35744640 0.07962040 1.31946891 1.44232719 0.08452633 1.44513262 1.51778988 0.08892289 1.57079633 1.58437224 0.09285161 1.69646003 1.64265955 0.09634817 1.82212374 1.69326353 0.09944509 1.94778745 1.73680501 0.10217402 2.07345115 1.77389939 0.10456682 2.19911486 1.80514423 0.10665535 2.32477856 1.83111039 0.10847108 2.45044227 1.85233577 0.11004445 2.57610598 1.86932146 0.11140433 2.70176968 1.88252985 0.11257763 2.82743339 1.89238385 0.11358879 2.95309709 1.89926715 0.11445929 3.07876080 1.90352515 0.11520723 3.20442451 1.90546627 0.11584689 3.33008821 1.90536396 0.11638853 3.45575192 1.90345937 0.11683869 3.58141563 1.89996485 0.11720097 3.70707933 1.89506795 0.11747718 3.83274304 1.88893576 0.11766895 3.95840674 1.88171889 0.11777900 4.08407045 1.87355468 0.11781216 4.20973416 1.86456924 0.11777555 4.33539786 1.85487833 0.11767814 4.46106157 1.84458739 0.11752975 4.58672527 1.83379105 0.11733990 4.71238898 1.82257279 0.11711668 4.83805269 1.81100491 0.11686610 4.96371639 1.79914908 0.11659179 5.08938010 1.78705756 0.11629531 5.21504380 1.77477456 0.11597668 5.34070751 1.76233804 0.11563509 5.46637122 1.74978120 0.11526970 5.59203492 1.73713385 0.11488019 5.71769863 1.72442340 0.11446714 5.84336234 1.71167523 0.11403206 5.96902604 1.69891305 0.11357729 6.09468975 1.68615861 0.11310564 6.22035345 1.67343165 0.11262008 6.34601716 1.66074954 0.11212327 6.47168087 1.64812724 0.11161743 6.59734457 1.63557722 0.11110410 6.72300828 1.62310967 0.11058414 6.84867198 1.61073274 0.11005785 6.97433569 1.59845287 0.10952513 7.09999940 1.58627519 0.10898560 7.22566310 1.57420391 0.10843894 7.35132681 1.56224261 0.10788492 7.47699052 1.55039447 0.10732360 7.60265422 1.53866247 0.10675534 7.72831793 1.52704938 0.10618080 7.85398163 1.51555786 0.10560093 7.97964534 1.50419030 0.10501679 8.10530905 1.49294881 0.10442956 8.23097275 1.48183517 0.10384041 8.35663646 1.47085069 0.10325041 8.48230016 1.45999635 0.10266053 8.60796387 1.44927264 0.10207159 8.73362758 1.43867964 0.10148422 8.85929128 1.42821715 0.10089896 8.98495499 1.41788460 0.10031622 9.11061870 1.40768117 0.09973624 9.23628240 1.39760583 0.09915925 9.36194611 1.38765732 0.09858533 9.48760981 1.37783426 0.09801454 9.61327352 1.36813511 0.09744687 9.73893723 1.35855821 0.09688222 9.86460093 1.34910181 0.09632051 9.99026464 1.33976409 0.09576160 10.11592834 1.33054316 0.09520533 10.24159205 1.32143716 0.09465158 10.36725576 1.31244420 0.09410022 10.49291946 1.30356243 0.09355115 10.61858317 1.29479005 0.09300432 10.74424688 1.28612531 0.09245974 10.86991058 1.27756656 0.09191743 10.99557429 1.26911216 0.09137749 11.12123799 1.26076057 0.09084003 11.24690170 1.25251031 0.09030522 11.37256541 1.24435992 0.08977323 11.49822911 1.23630798 0.08924422 11.62389282 1.22835308 0.08871836 11.74955652 1.22049385 0.08819585 11.87522023 1.21272888 0.08767682 12.00088394 1.20505679 0.08716140 12.12654764 1.19747618 0.08664970 12.25221135 1.18998566 0.08614181 12.37787506 1.18258382 0.08563778 12.50353876 1.17526926 0.08513767 12.62920247 1.16804058 0.08464149 12.75486617 1.16089638 0.08414927 12.88052988 1.15383528 0.08366101 13.00619359 1.14685590 0.08317669 13.13185729 1.13995690 0.08269631 13.25752100 1.13313692 0.08221985 13.38318470 1.12639467 0.08174729 13.50884841 1.11972886 0.08127861 13.63451212 1.11313820 0.08081379 13.76017582 1.10662146 0.08035281 13.88583953 1.10017743 0.07989565 14.01150324 1.09380490 0.07944227 14.13716694 1.08750270 0.07899267 14.26283065 1.08126971 0.07854682 14.38849435 1.07510479 0.07810470 14.51415806 1.06900683 0.07766627 14.63982177 1.06297477 0.07723153 14.76548547 1.05700754 0.07680043 14.89114918 1.05110412 0.07637296 15.01681288 1.04526347 0.07594908 15.14247659 1.03948464 0.07552877 15.26814030 1.03376662 0.07511200 15.39380400 1.02810845 0.07469872 15.51946771 1.02250921 0.07428892 15.64513141 1.01696798 0.07388255 15.77079512 1.01148384 0.07347959 15.89645883 1.00605592 0.07308000 16.02212253 1.00068338 0.07268375 16.14778624 0.99536534 0.07229082 16.27344995 0.99010098 0.07190115 16.39911365 0.98488950 0.07151474 16.52477736 0.97973010 0.07113154 16.65044106 0.97462199 0.07075152 16.77610477 0.96956444 0.07037467 16.90176848 0.96455667 0.07000094 17.02743218 0.95959798 0.06963032 17.15309589 0.95468763 0.06926277 17.27875959 0.94982494 0.06889828 17.40442330 0.94500923 0.06853683 17.53008701 0.94023982 0.06817837 17.65575071 0.93551605 0.06782290 17.78141442 0.93083728 0.06747039 17.90707813 0.92620289 0.06712081 18.03274183 0.92161225 0.06677415 18.15840554 0.91706476 0.06643038 18.28406924 0.91255981 0.06608948 18.40973295 0.90809684 0.06575142 18.53539666 0.90367526 0.06541619 18.66106036 0.89929452 0.06508376 18.78672407 0.89495405 0.06475410 18.91238777 0.89065333 0.06442721 19.03805148 0.88639181 0.06410304 19.16371519 0.88216898 0.06378159 19.28937889 0.87798432 0.06346282 19.41504260 0.87383732 0.06314672 19.54070631 0.86972749 0.06283325 19.66637001 0.86565435 0.06252241 19.79203372 0.86161740 0.06221415 19.91769742 0.85761619 0.06190847 20.04336113 0.85365024 0.06160533 20.16902484 0.84971910 0.06130471 20.29468854 0.84582233 0.06100659 20.42035225 0.84195948 0.06071093 20.54601595 0.83813012 0.06041772 20.67167966 0.83433381 0.06012693 20.79734337 0.83057015 0.05983853 20.92300707 0.82683871 0.05955250 21.04867078 0.82313909 0.05926881 21.17433449 0.81947089 0.05898743 21.29999819 0.81583371 0.05870835 21.42566190 0.81222718 0.05843153 21.55132560 0.80865090 0.05815695 21.67698931 0.80510451 0.05788459 21.80265302 0.80158763 0.05761441 21.92831672 0.79809990 0.05734640 22.05398043 0.79464097 0.05708053 22.17964413 0.79121050 0.05681678 22.30530784 0.78780813 0.05655512 22.43097155 0.78443353 0.05629554 22.55663525 0.78108636 0.05603802 22.68229896 0.77776632 0.05578253 22.80796267 0.77447306 0.05552905 22.93362637 0.77120629 0.05527757 23.05929008 0.76796569 0.05502806 23.18495378 0.76475096 0.05478052 23.31061749 0.76156181 0.05453492 23.43628120 0.75839793 0.05429125 23.56194490 0.75525905 0.05404949 23.68760861 0.75214489 0.05380963 23.81327231 0.74905516 0.05357165 23.93893602 0.74598959 0.05333555 24.06459973 0.74294791 0.05310130 24.19026343 0.73992987 0.05286890 24.31592714 0.73693519 0.05263833 24.44159084 0.73396363 0.05240958 24.56725455 0.73101493 0.05218263 24.69291826 0.72808885 0.05195748 24.81858196 0.72518513 0.05173410 24.94424567 0.72230353 0.05151250 25.06990938 0.71944383 0.05129265 25.19557308 0.71660578 0.05107454 25.44690049 0.71099371 0.05064351 25.57256420 0.70821924 0.05043054 25.82389161 0.70273230 0.05000968 25.94955532 0.70001938 0.04980174 26.20088273 0.69465362 0.04939079 26.32654644 0.69200034 0.04918774 26.57787385 0.68675194 0.04878643 26.82920126 0.68157974 0.04839140 26.95486497 0.67902172 0.04819620 27.20619238 0.67396085 0.04781034 27.45751979 0.66897227 0.04743044 27.58318350 0.66650462 0.04724268 27.83451091 0.66162169 0.04687147 28.08583832 0.65680737 0.04650589 28.21150203 0.65442550 0.04632517 28.46282944 0.64971149 0.04596779 28.71415685 0.64506266 0.04561573 28.96548427 0.64047767 0.04526887 29.09114797 0.63820873 0.04509734 29.34247538 0.63371714 0.04475804 29.59380280 0.62928626 0.04442364 29.84513021 0.62491490 0.04409403 30.09645762 0.62060188 0.04376910 30.34778503 0.61634607 0.04344874 30.47344874 0.61423927 0.04329025 30.72477615 0.61006720 0.04297657 30.97610356 0.60594962 0.04266722 31.22743098 0.60188550 0.04236211 31.47875839 0.59787381 0.04206115 31.73008580 0.59391357 0.04176425 31.98141321 0.59000383 0.04147133 32.23274063 0.58614364 0.04118231 32.48406804 0.58233210 0.04089711 32.73539545 0.57856830 0.04061566 32.98672286 0.57485139 0.04033788 33.23805027 0.57118051 0.04006370 33.48937769 0.56755483 0.03979306 33.74070510 0.56397356 0.03952588 33.99203251 0.56043589 0.03926210 34.24335992 0.55694105 0.03900166 34.49468734 0.55348830 0.03874449 34.74601475 0.55007690 0.03849054 34.99734216 0.54670613 0.03823976 35.37433328 0.54172463 0.03786937 35.62566069 0.53845240 0.03762624 35.87698810 0.53521841 0.03738607 36.12831552 0.53202202 0.03714882 36.37964293 0.52886258 0.03691442 36.75663405 0.52419137 0.03656810 37.00796146 0.52112165 0.03634065 37.25928887 0.51808677 0.03611590 37.51061628 0.51508617 0.03589380 37.88760740 0.51064830 0.03556552 38.13893481 0.50773094 0.03534985 38.39026223 0.50484594 0.03513668 38.76725335 0.50057797 0.03482151 39.01858076 0.49777161 0.03461440 39.39557188 0.49361924 0.03430814 39.64689929 0.49088841 0.03410685 39.89822670 0.48818696 0.03390782 40.27521782 0.48418889 0.03361343 40.52654523 0.48155891 0.03341990 40.90353635 0.47766597 0.03313359 41.15486376 0.47510473 0.03294534 41.53185488 0.47131291 0.03266680 41.78318229 0.46881780 0.03248361 42.16017341 0.46512331 0.03221253 42.53716453 0.46148547 0.03194579 42.78849194 0.45909108 0.03177033 43.16548306 0.45554486 0.03151059 43.41681047 0.45321043 0.03133971 43.79380159 0.44975248 0.03108673 44.17079271 0.44634595 0.03083768 44.54778383 0.44298973 0.03059246 44.79911124 0.44077966 0.03043107 45.17610236 0.43750490 0.03019207 45.55309348 0.43427762 0.02995668 45.93008460 0.43109681 0.02972482 46.18141201 0.42900161 0.02957218 46.55840313 0.42589611 0.02934606 46.93539424 0.42283454 0.02912327 47.31238536 0.41981598 0.02890375 47.68937648 0.41683956 0.02868743 48.06636760 0.41390442 0.02847424 48.44335872 0.41100971 0.02826411 48.82034984 0.40815462 0.02805698 49.19734096 0.40533835 0.02785278 49.57433207 0.40256014 0.02765147 49.95132319 0.39981922 0.02745298 50.32831431 0.39711486 0.02725724 50.70530543 0.39444635 0.02706421 51.08229655 0.39181299 0.02687384 51.45928767 0.38921410 0.02668606 51.83627878 0.38664901 0.02650083 52.33893361 0.38328037 0.02625773 52.71592473 0.38079167 0.02607824 53.09291585 0.37833470 0.02590115 53.46990696 0.37590884 0.02572639 53.97256179 0.37272176 0.02549693 54.34955291 0.37036628 0.02532745 54.72654403 0.36804004 0.02516017 55.22919885 0.36498294 0.02494046 55.60618997 0.36272287 0.02477813 55.98318109 0.36049030 0.02461786 56.48583591 0.35755548 0.02440730 56.86282703 0.35538519 0.02425168 57.36548185 0.35253169 0.02404720 57.74247297 0.35042114 0.02389604 58.24512780 0.34764567 0.02369738 58.62211892 0.34559244 0.02355049 59.12477374 0.34289186 0.02335741 59.62742857 0.34023274 0.02316741 60.00441968 0.33826503 0.02302690 60.50707451 0.33567621 0.02284213 61.00972933 0.33312633 0.02266025 61.38672045 0.33123896 0.02252570 61.88937528 0.32875516 0.02234873 62.39203010 0.32630798 0.02217447 62.89468492 0.32389663 0.02200287 63.39733975 0.32152032 0.02183386 63.89999457 0.31917831 0.02166738 64.40264940 0.31686986 0.02150339 64.77964052 0.31516013 0.02138200 65.28229534 0.31290871 0.02122222 65.78495017 0.31068896 0.02106478 66.41326870 0.30795777 0.02087119 66.91592352 0.30580685 0.02071882 67.41857835 0.30368551 0.02056863 67.92123317 0.30159314 0.02042058 68.42388800 0.29952916 0.02027461 68.92654282 0.29749300 0.02013069 69.42919764 0.29548410 0.01998877 70.05751618 0.29301049 0.01981412 70.56017100 0.29106097 0.01967656 71.06282582 0.28913700 0.01954087 71.69114435 0.28676723 0.01937383 72.19379918 0.28489896 0.01924223 72.82211771 0.28259730 0.01908018 73.32477253 0.28078236 0.01895247 73.95309107 0.27854593 0.01879519 74.45574589 0.27678207 0.01867121 75.08406442 0.27460816 0.01851849 75.58671925 0.27289326 0.01839809 76.21503778 0.27077928 0.01824974 76.84335631 0.26869754 0.01810374 77.34601113 0.26705486 0.01798860 77.97432966 0.26502932 0.01784669 78.60264819 0.26303402 0.01770698 79.23096672 0.26106831 0.01756942 79.85928525 0.25913152 0.01743395 80.36194008 0.25760249 0.01732706 80.99025861 0.25571618 0.01719526 81.61857714 0.25385708 0.01706543 82.24689567 0.25202461 0.01693753 82.87521420 0.25021818 0.01681152 83.62919644 0.24808409 0.01666273 84.25751497 0.24633306 0.01654072 84.88583350 0.24460639 0.01642047 85.51415203 0.24290356 0.01630193 86.14247056 0.24122408 0.01618509 86.89645280 0.23923886 0.01604705 87.52477133 0.23760911 0.01593378 88.15308986 0.23600123 0.01582209 88.90707210 0.23410003 0.01569010 89.53539063 0.23253876 0.01558176 90.28937286 0.23069228 0.01545370 90.91769139 0.22917562 0.01534857 91.67167363 0.22738153 0.01522426 92.42565587 0.22561509 0.01510195 93.05397440 0.22416371 0.01500149 93.80795664 0.22244633 0.01488269 94.56193887 0.22075484 0.01476574 95.19025740 0.21936464 0.01466967 95.94423964 0.21771914 0.01455600 96.69822188 0.21609795 0.01444408 97.45220411 0.21450053 0.01433385 98.20618635 0.21292636 0.01422528 98.96016859 0.21137494 0.01411833 99.71415082 0.20984577 0.01401296 100.46813306 0.20833840 0.01390915 101.34777900 0.20660672 0.01378995 102.10176124 0.20514498 0.01368939 102.85574348 0.20370361 0.01359027 103.60972572 0.20228219 0.01349257 104.48937166 0.20064853 0.01338033 105.24335390 0.19926894 0.01328560 106.12299984 0.19768301 0.01317674 106.87698208 0.19634343 0.01308485 107.75662802 0.19480317 0.01297923 108.51061025 0.19350189 0.01289004 109.39025620 0.19200536 0.01278751 110.26990214 0.19053161 0.01268660 111.14954808 0.18908013 0.01258725 111.90353032 0.18785335 0.01250333 112.78317626 0.18644190 0.01240681 113.66282221 0.18505134 0.01231176 114.54246815 0.18368120 0.01221815 115.42211409 0.18233104 0.01212595 116.30176004 0.18100041 0.01203512 117.18140598 0.17968891 0.01194564 118.18671563 0.17821295 0.01184498 119.06636157 0.17694107 0.01175827 119.94600751 0.17568708 0.01167283 120.95131716 0.17427535 0.01157667 121.83096311 0.17305842 0.01149383 122.83627276 0.17168812 0.01140057 123.71591870 0.17050665 0.01132021 124.72122835 0.16917599 0.01122973 125.60087429 0.16802845 0.01115174 126.60618394 0.16673575 0.01106391 127.61149359 0.16546262 0.01097745 128.61680324 0.16420863 0.01089233 129.62211289 0.16297336 0.01080851 130.62742254 0.16175639 0.01072597 131.63273219 0.16055732 0.01064468 132.63804183 0.15937576 0.01056460 133.64335148 0.15821132 0.01048572 134.64866113 0.15706365 0.01040799 135.65397078 0.15593237 0.01033141 136.78494414 0.15467887 0.01024659 137.79025379 0.15358131 0.01017235 138.92122714 0.15236488 0.01009010 139.92653679 0.15129955 0.01001810 141.05751015 0.15011859 0.00993831 142.06281980 0.14908411 0.00986844 143.19379315 0.14793709 0.00979100 144.32476651 0.14680746 0.00971476 145.45573986 0.14569482 0.00963969 146.58671322 0.14459880 0.00956578 147.71768657 0.14351902 0.00949298 148.84865993 0.14245513 0.00942128 149.97963328 0.14140679 0.00935066 151.11060664 0.14037365 0.00928108 152.24157999 0.13935538 0.00921252 153.49821705 0.13824105 0.00913753 154.62919041 0.13725316 0.00907107 155.88582747 0.13617182 0.00899834 157.01680083 0.13521298 0.00893387 158.27343789 0.13416321 0.00886332 159.53007495 0.13312949 0.00879386 160.66104830 0.13221259 0.00873228 161.91768537 0.13120840 0.00866485 163.17432243 0.13021924 0.00859845 164.43095949 0.12924479 0.00853306 165.68759655 0.12828472 0.00846866 167.06989732 0.12724486 0.00839892 168.32653438 0.12631397 0.00833652 169.58317144 0.12539651 0.00827503 170.96547221 0.12440247 0.00820843 172.22210927 0.12351229 0.00814880 173.60441004 0.12254759 0.00808420 174.86104710 0.12168350 0.00802636 176.24334787 0.12074687 0.00796368 177.62564863 0.11982447 0.00790196 179.00794940 0.11891596 0.00784120 180.39025017 0.11802103 0.00778136 181.77255094 0.11713940 0.00772242 183.15485170 0.11627076 0.00766437 184.66281618 0.11533763 0.00760203 186.04511695 0.11449525 0.00754576 187.42741771 0.11366501 0.00749032 188.93538219 0.11277284 0.00743076 190.31768295 0.11196717 0.00737699 191.82564743 0.11110119 0.00731921 193.33361190 0.11024844 0.00726232 194.84157638 0.10940860 0.00720631 196.34954085 0.10858139 0.00715116 197.85750532 0.10776652 0.00709685 199.36546980 0.10696372 0.00704335 200.87343427 0.10617273 0.00699065 202.50706245 0.10532885 0.00693444 204.01502692 0.10456164 0.00688335 205.64865510 0.10374295 0.00682884 207.15661958 0.10299846 0.00677928 208.79024776 0.10220384 0.00672640 210.42387594 0.10142132 0.00667434 212.05750412 0.10065063 0.00662308 213.69113230 0.09989151 0.00657259 215.32476048 0.09914369 0.00652287 216.95838866 0.09840694 0.00647390 218.59201684 0.09768099 0.00642565 220.35130872 0.09691103 0.00637449 221.98493690 0.09620681 0.00632771 223.74422879 0.09545972 0.00627809 225.50352067 0.09472408 0.00622924 227.26281256 0.09399965 0.00618115 229.02210445 0.09328615 0.00613379 230.78139633 0.09258336 0.00608715 232.54068822 0.09189104 0.00604121 234.29998010 0.09120894 0.00599596 236.18493570 0.09048922 0.00594823 237.94422758 0.08982761 0.00590435 239.82918318 0.08912935 0.00585806 241.71413877 0.08844181 0.00581248 243.47343065 0.08780957 0.00577058 245.35838625 0.08714209 0.00572635 247.24334184 0.08648463 0.00568279 249.25396114 0.08579414 0.00563705 251.13891673 0.08515671 0.00559484