# omega total a= 1 L= 2 0.06283185 0.14620903 0.00652131 0.18849556 0.32160219 0.01696153 0.31415927 0.48789690 0.02704301 0.43982297 0.64492321 0.03659986 0.56548668 0.79235963 0.04551460 0.69115038 0.92968160 0.05371328 0.81681409 1.05646893 0.06116893 0.94247780 1.17251602 0.06789260 1.06814150 1.27784483 0.07392133 1.19380521 1.37267887 0.07930687 1.31946891 1.45740332 0.08410698 1.44513262 1.53252270 0.08837942 1.57079633 1.59862214 0.09217853 1.69646003 1.65633478 0.09555396 1.82212374 1.70631559 0.09855070 1.94778745 1.74922060 0.10120928 2.07345115 1.78569117 0.10356613 2.19911486 1.81634220 0.10565368 2.32477856 1.84175413 0.10750053 2.45044227 1.86246759 0.10913145 2.57610598 1.87898067 0.11056740 2.70176968 1.89174815 0.11182588 2.82743339 1.90118255 0.11292135 2.95309709 1.90765631 0.11386591 3.07876080 1.91150494 0.11467017 3.20442451 1.91303054 0.11534404 3.33008821 1.91250530 0.11589743 3.45575192 1.91017472 0.11634060 3.58141563 1.90626021 0.11668422 3.70707933 1.90096101 0.11693899 3.83274304 1.89445579 0.11711523 3.95840674 1.88690394 0.11722229 4.08407045 1.87844674 0.11726817 4.20973416 1.86920881 0.11725935 4.33539786 1.85929963 0.11720081 4.46106157 1.84881526 0.11709633 4.58672527 1.83784016 0.11694886 4.71238898 1.82644879 0.11676088 4.83805269 1.81470721 0.11653479 4.96371639 1.80267427 0.11627305 5.08938010 1.79040254 0.11597828 5.21504380 1.77793905 0.11565322 5.34070751 1.76532577 0.11530060 5.46637122 1.75260000 0.11492305 5.59203492 1.73979482 0.11452301 5.71769863 1.72693941 0.11410272 5.84336234 1.71405949 0.11366422 5.96902604 1.70117765 0.11320935 6.09468975 1.68831371 0.11273979 6.22035345 1.67548501 0.11225705 6.34601716 1.66270667 0.11176248 6.47168087 1.64999177 0.11125725 6.59734457 1.63735163 0.11074239 6.72300828 1.62479594 0.11021875 6.84867198 1.61233301 0.10968708 6.97433569 1.59996994 0.10914806 7.09999940 1.58771281 0.10860234 7.22566310 1.57556690 0.10805063 7.35132681 1.56353675 0.10749366 7.47699052 1.55162628 0.10693222 7.60265422 1.53983890 0.10636717 7.72831793 1.52817743 0.10579934 7.85398163 1.51664423 0.10522955 7.97964534 1.50524108 0.10465853 8.10530905 1.49396934 0.10408693 8.23097275 1.48282981 0.10351524 8.35663646 1.47182287 0.10294385 8.48230016 1.46094848 0.10237302 8.60796387 1.45020626 0.10180290 8.73362758 1.43959550 0.10123357 8.85929128 1.42911527 0.10066505 8.98495499 1.41876441 0.10009730 9.11061870 1.40854165 0.09953029 9.23628240 1.39844557 0.09896398 9.36194611 1.38847468 0.09839831 9.48760981 1.37862744 0.09783329 9.61327352 1.36890226 0.09726892 9.73893723 1.35929756 0.09670523 9.86460093 1.34981175 0.09614234 9.99026464 1.34044329 0.09558035 10.11592834 1.33119062 0.09501943 10.24159205 1.32205233 0.09445986 10.36725576 1.31302692 0.09390188 10.49291946 1.30411304 0.09334581 10.61858317 1.29530932 0.09279198 10.74424688 1.28661445 0.09224076 10.86991058 1.27802710 0.09169251 10.99557429 1.26954595 0.09114756 11.12123799 1.26116966 0.09060622 11.24690170 1.25289688 0.09006878 11.37256541 1.24472619 0.08953547 11.49822911 1.23665616 0.08900647 11.62389282 1.22868530 0.08848189 11.74955652 1.22081206 0.08796182 11.87522023 1.21303488 0.08744626 12.00088394 1.20535217 0.08693521 12.12654764 1.19776231 0.08642860 12.25221135 1.19026365 0.08592634 12.37787506 1.18285457 0.08542831 12.50353876 1.17553345 0.08493441 12.62920247 1.16829868 0.08444450 12.75486617 1.16114869 0.08395846 12.88052988 1.15408194 0.08347618 13.00619359 1.14709693 0.08299755 13.13185729 1.14019220 0.08252248 13.25752100 1.13336633 0.08205090 13.38318470 1.12661798 0.08158276 13.50884841 1.11994580 0.08111801 13.63451212 1.11334853 0.08065663 13.76017582 1.10682493 0.08019862 13.88583953 1.10037381 0.07974399 14.01150324 1.09399402 0.07929273 14.13716694 1.08768441 0.07884488 14.26283065 1.08144390 0.07840044 14.38849435 1.07527140 0.07795945 14.51415806 1.06916589 0.07752193 14.63982177 1.06312632 0.07708791 14.76548547 1.05715168 0.07665739 14.89114918 1.05124097 0.07623040 15.01681288 1.04539323 0.07580694 15.14247659 1.03960750 0.07538702 15.26814030 1.03388280 0.07497064 15.39380400 1.02821822 0.07455778 15.51946771 1.02261283 0.07414843 15.64513141 1.01706572 0.07374259 15.77079512 1.01157599 0.07334021 15.89645883 1.00614277 0.07294128 16.02212253 1.00076520 0.07254578 16.14778624 0.99544243 0.07215368 16.27344995 0.99017360 0.07176494 16.39911365 0.98495793 0.07137952 16.52477736 0.97979459 0.07099742 16.65044106 0.97468279 0.07061857 16.77610477 0.96962179 0.07024296 16.90176848 0.96461079 0.06987055 17.02743218 0.95964909 0.06950131 17.15309589 0.95473594 0.06913520 17.27875959 0.94987064 0.06877222 17.40442330 0.94505250 0.06841231 17.53008701 0.94028083 0.06805545 17.65575071 0.93555496 0.06770162 17.78141442 0.93087425 0.06735079 17.90707813 0.92623805 0.06700292 18.03274183 0.92164573 0.06665800 18.15840554 0.91709668 0.06631599 18.28406924 0.91259030 0.06597688 18.40973295 0.90812600 0.06564063 18.53539666 0.90370319 0.06530722 18.66106036 0.89932131 0.06497663 18.78672407 0.89497979 0.06464883 18.91238777 0.89067809 0.06432379 19.03805148 0.88641567 0.06400148 19.16371519 0.88219200 0.06368189 19.28937889 0.87800657 0.06336498 19.41504260 0.87385884 0.06305073 19.54070631 0.86974834 0.06273911 19.66637001 0.86567456 0.06243010 19.79203372 0.86163702 0.06212366 19.91769742 0.85763524 0.06181977 20.04336113 0.85366875 0.06151841 20.16902484 0.84973709 0.06121953 20.29468854 0.84583982 0.06092313 20.42035225 0.84197647 0.06062916 20.54601595 0.83814661 0.06033760 20.67167966 0.83434982 0.06004843 20.79734337 0.83058566 0.05976161 20.92300707 0.82685373 0.05947711 21.04867078 0.82315361 0.05919492 21.17433449 0.81948490 0.05891500 21.29999819 0.81584721 0.05863733 21.42566190 0.81224015 0.05836188 21.55132560 0.80866333 0.05808863 21.67698931 0.80511639 0.05781755 21.80265302 0.80159895 0.05754862 21.92831672 0.79811065 0.05728181 22.05398043 0.79465114 0.05701710 22.17964413 0.79122007 0.05675448 22.30530784 0.78781711 0.05649392 22.43097155 0.78444191 0.05623540 22.55663525 0.78109414 0.05597890 22.68229896 0.77777348 0.05572441 22.80796267 0.77447963 0.05547191 22.93362637 0.77121225 0.05522137 23.05929008 0.76797106 0.05497280 23.18495378 0.76475574 0.05472616 23.31061749 0.76156601 0.05448145 23.43628120 0.75840156 0.05423865 23.56194490 0.75526213 0.05399775 23.68760861 0.75214742 0.05375873 23.81327231 0.74905716 0.05352159 23.93893602 0.74599109 0.05328630 24.06459973 0.74294892 0.05305287 24.19026343 0.73993040 0.05282127 24.31592714 0.73693527 0.05259149 24.44159084 0.73396327 0.05236352 24.56725455 0.73101415 0.05213735 24.69291826 0.72808767 0.05191297 24.81858196 0.72518357 0.05169036 24.94424567 0.72230161 0.05146951 25.06990938 0.71944156 0.05125041 25.19557308 0.71660318 0.05103305 25.44690049 0.71099050 0.05060346 25.57256420 0.70821574 0.05039122 25.82389161 0.70272827 0.04997176 25.94955532 0.70001512 0.04976451 26.20088273 0.69464890 0.04935489 26.32654644 0.69199540 0.04915250 26.57787385 0.68674661 0.04875247 26.82920126 0.68157404 0.04835866 26.95486497 0.67901584 0.04816406 27.20619238 0.67395463 0.04777935 27.45751979 0.66896572 0.04740054 27.58318350 0.66649792 0.04721332 27.83451091 0.66161467 0.04684312 28.08583832 0.65680006 0.04647851 28.21150203 0.65441804 0.04629826 28.46282944 0.64970374 0.04594178 28.71415685 0.64505462 0.04559056 28.96548427 0.64046935 0.04524450 29.09114797 0.63820027 0.04507336 29.34247538 0.63370840 0.04473479 29.59380280 0.62927725 0.04440109 29.84513021 0.62490562 0.04407213 30.09645762 0.62059234 0.04374782 30.34778503 0.61633627 0.04342806 30.47344874 0.61422934 0.04326985 30.72477615 0.61005702 0.04295672 30.97610356 0.60593919 0.04264789 31.22743098 0.60187482 0.04234327 31.47875839 0.59786290 0.04204278 31.73008580 0.59390245 0.04174634 31.98141321 0.58999249 0.04145385 32.23274063 0.58613209 0.04116524 32.48406804 0.58232035 0.04088044 32.73539545 0.57855637 0.04059936 32.98672286 0.57483928 0.04032195 33.23805027 0.57116823 0.04004812 33.48937769 0.56754239 0.03977782 33.74070510 0.56396096 0.03951096 33.99203251 0.56042315 0.03924750 34.24335992 0.55692818 0.03898737 34.49468734 0.55347530 0.03873050 34.74601475 0.55006379 0.03847684 34.99734216 0.54669291 0.03822633 35.37433328 0.54171126 0.03785636 35.62566069 0.53843894 0.03761348 35.87698810 0.53520486 0.03737356 36.12831552 0.53200839 0.03713656 36.37964293 0.52884889 0.03690240 36.75663405 0.52417759 0.03655643 37.00796146 0.52110781 0.03632921 37.25928887 0.51807289 0.03610467 37.51061628 0.51507225 0.03588279 37.88760740 0.51063432 0.03555481 38.13893481 0.50771694 0.03533934 38.39026223 0.50483192 0.03512636 38.76725335 0.50056392 0.03481148 39.01858076 0.49775754 0.03460455 39.39557188 0.49360516 0.03429856 39.64689929 0.49087433 0.03409744 39.89822670 0.48817289 0.03389858 40.27521782 0.48417482 0.03360444 40.52654523 0.48154486 0.03341107 40.90353635 0.47765193 0.03312500 41.15486376 0.47509071 0.03293689 41.53185488 0.47129893 0.03265857 41.78318229 0.46880385 0.03247553 42.16017341 0.46510940 0.03220466 42.53716453 0.46147160 0.03193812 42.78849194 0.45907725 0.03176278 43.16548306 0.45553108 0.03150324 43.41681047 0.45319668 0.03133248 43.79380159 0.44973880 0.03107968 44.17079271 0.44633233 0.03083080 44.54778383 0.44297618 0.03058576 44.79911124 0.44076616 0.03042448 45.17610236 0.43749147 0.03018563 45.55309348 0.43426426 0.02995040 45.93008460 0.43108354 0.02971870 46.18141201 0.42898839 0.02956616 46.55840313 0.42588297 0.02934018 46.93539424 0.42282148 0.02911753 47.31238536 0.41980301 0.02889814 47.68937648 0.41682667 0.02868195 48.06636760 0.41389162 0.02846889 48.44335872 0.41099699 0.02825888 48.82034984 0.40814199 0.02805187 49.19734096 0.40532582 0.02784780 49.57433207 0.40254769 0.02764660 49.95132319 0.39980686 0.02744821 50.32831431 0.39710260 0.02725258 50.70530543 0.39443418 0.02705966 51.08229655 0.39180091 0.02686938 51.45928767 0.38920211 0.02668170 51.83627878 0.38663712 0.02649657 52.33893361 0.38326860 0.02625359 52.71592473 0.38078000 0.02607420 53.09291585 0.37832312 0.02589719 53.46990696 0.37589735 0.02572251 53.97256179 0.37271040 0.02549317 54.34955291 0.37035501 0.02532377 54.72654403 0.36802886 0.02515656 55.22919885 0.36497189 0.02493695 55.60618997 0.36271191 0.02477470 55.98318109 0.36047943 0.02461450 56.48583591 0.35754473 0.02440403 56.86282703 0.35537454 0.02424848 57.36548185 0.35252116 0.02404408 57.74247297 0.35041070 0.02389299 58.24512780 0.34763534 0.02369441 58.62211892 0.34558221 0.02354758 59.12477374 0.34288174 0.02335458 59.62742857 0.34022273 0.02316466 60.00441968 0.33825511 0.02302419 60.50707451 0.33566641 0.02283949 61.00972933 0.33311664 0.02265769 61.38672045 0.33122935 0.02252319 61.88937528 0.32874566 0.02234628 62.39203010 0.32629860 0.02217208 62.89468492 0.32388735 0.02200054 63.39733975 0.32151115 0.02183159 63.89999457 0.31916925 0.02166517 64.40264940 0.31686091 0.02150124 64.77964052 0.31515125 0.02137988 65.28229534 0.31289994 0.02122016 65.78495017 0.31068029 0.02106276 66.41326870 0.30794923 0.02086923 66.91592352 0.30579841 0.02071691 67.41857835 0.30367716 0.02056677 67.92123317 0.30158489 0.02041876 68.42388800 0.29952101 0.02027284 68.92654282 0.29748494 0.02012896 69.42919764 0.29547614 0.01998708 70.05751618 0.29300264 0.01981248 70.56017100 0.29105321 0.01967496 71.06282582 0.28912934 0.01953931 71.69114435 0.28675967 0.01937232 72.19379918 0.28489149 0.01924074 72.82211771 0.28258994 0.01907874 73.32477253 0.28077508 0.01895106 73.95309107 0.27853876 0.01879382 74.45574589 0.27677498 0.01866987 75.08406442 0.27460117 0.01851720 75.58671925 0.27288635 0.01839682 76.21503778 0.27077247 0.01824851 76.84335631 0.26869082 0.01810254 77.34601113 0.26704822 0.01798742 77.97432966 0.26502278 0.01784555 78.60264819 0.26302757 0.01770587 79.23096672 0.26106195 0.01756834 79.85928525 0.25912525 0.01743290 80.36194008 0.25759629 0.01732604 80.99025861 0.25571007 0.01719426 81.61857714 0.25385106 0.01706446 82.24689567 0.25201866 0.01693659 82.87521420 0.25021232 0.01681060 83.62919644 0.24807832 0.01666184 84.25751497 0.24632738 0.01653985 84.88583350 0.24460078 0.01641962 85.51415203 0.24289803 0.01630111 86.14247056 0.24121863 0.01618429 86.89645280 0.23923350 0.01604627 87.52477133 0.23760382 0.01593302 88.15308986 0.23599601 0.01582135 88.90707210 0.23409490 0.01568938 89.53539063 0.23253370 0.01558106 90.28937286 0.23068730 0.01545302 90.91769139 0.22917071 0.01534791 91.67167363 0.22737670 0.01522363 92.42565587 0.22561033 0.01510133 93.05397440 0.22415902 0.01500089 93.80795664 0.22244171 0.01488211 94.56193887 0.22075030 0.01476517 95.19025740 0.21936015 0.01466911 95.94423964 0.21771473 0.01455547 96.69822188 0.21609361 0.01444356 97.45220411 0.21449625 0.01433334 98.20618635 0.21292215 0.01422479 98.96016859 0.21137080 0.01411785 99.71415082 0.20984170 0.01401250 100.46813306 0.20833439 0.01390870 101.34777900 0.20660277 0.01378952 102.10176124 0.20514110 0.01368897 102.85574348 0.20369979 0.01358986 103.60972572 0.20227843 0.01349217 104.48937166 0.20064484 0.01337995 105.24335390 0.19926530 0.01328523 106.12299984 0.19767943 0.01317639 106.87698208 0.19633991 0.01308450 107.75662802 0.19479971 0.01297889 108.51061025 0.19349848 0.01288971 109.39025620 0.19200201 0.01278720 110.26990214 0.19052832 0.01268630 111.14954808 0.18907689 0.01258696 111.90353032 0.18785016 0.01250304 112.78317626 0.18643877 0.01240653 113.66282221 0.18504826 0.01231150 114.54246815 0.18367817 0.01221790 115.42211409 0.18232806 0.01212570 116.30176004 0.18099749 0.01203488 117.18140598 0.17968604 0.01194541 118.18671563 0.17821013 0.01184476 119.06636157 0.17693830 0.01175806 119.94600751 0.17568435 0.01167262 120.95131716 0.17427267 0.01157648 121.83096311 0.17305579 0.01149364 122.83627276 0.17168554 0.01140039 123.71591870 0.17050411 0.01132003 124.72122835 0.16917350 0.01122956 125.60087429 0.16802600 0.01115158 126.60618394 0.16673333 0.01106376 127.61149359 0.16546025 0.01097731 128.61680324 0.16420631 0.01089219 129.62211289 0.16297108 0.01080838 130.62742254 0.16175415 0.01072584 131.63273219 0.16055512 0.01064455 132.63804183 0.15937359 0.01056448 133.64335148 0.15820920 0.01048560 134.64866113 0.15706156 0.01040789 135.65397078 0.15593032 0.01033131 136.78494414 0.15467686 0.01024649 137.79025379 0.15357933 0.01017226 138.92122714 0.15236294 0.01009002 139.92653679 0.15129765 0.01001802 141.05751015 0.15011673 0.00993823 142.06281980 0.14908227 0.00986836 143.19379315 0.14793529 0.00979093 144.32476651 0.14680570 0.00971469 145.45573986 0.14569309 0.00963963 146.58671322 0.14459710 0.00956572 147.71768657 0.14351735 0.00949293 148.84865993 0.14245350 0.00942123 149.97963328 0.14140518 0.00935061 151.11060664 0.14037207 0.00928103 152.24157999 0.13935384 0.00921248 153.49821705 0.13823953 0.00913749 154.62919041 0.13725167 0.00907103 155.88582747 0.13617036 0.00899831 157.01680083 0.13521155 0.00893385 158.27343789 0.13416180 0.00886329 159.53007495 0.13312812 0.00879384 160.66104830 0.13221123 0.00873226 161.91768537 0.13120707 0.00866483 163.17432243 0.13021794 0.00859844 164.43095949 0.12924351 0.00853305 165.68759655 0.12828346 0.00846865 167.06989732 0.12724364 0.00839892 168.32653438 0.12631277 0.00833651 169.58317144 0.12539533 0.00827502 170.96547221 0.12440132 0.00820843 172.22210927 0.12351116 0.00814880 173.60441004 0.12254648 0.00808421 174.86104710 0.12168241 0.00802636 176.24334787 0.12074581 0.00796368 177.62564863 0.11982342 0.00790197 179.00794940 0.11891493 0.00784121 180.39025017 0.11802003 0.00778137 181.77255094 0.11713841 0.00772244 183.15485170 0.11626979 0.00766439 184.66281618 0.11533669 0.00760205 186.04511695 0.11449433 0.00754578 187.42741771 0.11366411 0.00749034 188.93538219 0.11277195 0.00743079 190.31768295 0.11196629 0.00737701 191.82564743 0.11110034 0.00731923 193.33361190 0.11024760 0.00726235 194.84157638 0.10940778 0.00720634 196.34954085 0.10858058 0.00715119 197.85750532 0.10776573 0.00709688 199.36546980 0.10696295 0.00704338 200.87343427 0.10617198 0.00699068 202.50706245 0.10532811 0.00693447 204.01502692 0.10456092 0.00688338 205.64865510 0.10374223 0.00682887 207.15661958 0.10299776 0.00677932 208.79024776 0.10220316 0.00672644 210.42387594 0.10142065 0.00667438 212.05750412 0.10064998 0.00662312 213.69113230 0.09989087 0.00657264 215.32476048 0.09914307 0.00652292 216.95838866 0.09840632 0.00647394 218.59201684 0.09768039 0.00642570 220.35130872 0.09691044 0.00637454 221.98493690 0.09620623 0.00632775 223.74422879 0.09545915 0.00627814 225.50352067 0.09472353 0.00622929 227.26281256 0.09399910 0.00618119 229.02210445 0.09328562 0.00613383 230.78139633 0.09258284 0.00608719 232.54068822 0.09189053 0.00604126 234.29998010 0.09120844 0.00599601 236.18493570 0.09048873 0.00594828 237.94422758 0.08982713 0.00590440 239.82918318 0.08912888 0.00585811 241.71413877 0.08844135 0.00581253 243.47343065 0.08780912 0.00577063 245.35838625 0.08714165 0.00572640 247.24334184 0.08648420 0.00568284 249.25396114 0.08579372 0.00563711 251.13891673 0.08515630 0.00559489