# omega total a= 1 L= 3 0.03141593 0.04651781 0.01962092 0.09424778 0.10662196 0.04923556 0.15707963 0.16590970 0.07829671 0.21991149 0.22389954 0.10646721 0.28274334 0.28021613 0.13349335 0.34557519 0.33454903 0.15916938 0.40840704 0.38664807 0.18333323 0.47123890 0.43634597 0.20588496 0.53407075 0.48356484 0.22679250 0.59690260 0.52828576 0.24606666 0.65973446 0.57055017 0.26376298 0.72256631 0.61044519 0.27997019 0.78539816 0.64809111 0.29480051 0.84823002 0.68362188 0.30837387 0.91106187 0.71717450 0.32080954 0.97389372 0.74888607 0.33222419 1.03672558 0.77888772 0.34272713 1.09955743 0.80729658 0.35241381 1.16238928 0.83421129 0.36136219 1.22522113 0.85971480 0.36963531 1.28805299 0.88387586 0.37728267 1.35088484 0.90675227 0.38434321 1.41371669 0.92839539 0.39084929 1.47654855 0.94885301 0.39682939 1.53938040 0.96817245 0.40231098 1.60221225 0.98640303 0.40732290 1.66504411 1.00359641 0.41189587 1.72787596 1.01980603 0.41606216 1.79070781 1.03508718 0.41985587 1.85353967 1.04949703 0.42331307 1.91637152 1.06309256 0.42647010 1.97920337 1.07592728 0.42936079 2.04203522 1.08804901 0.43201439 2.10486708 1.09949906 0.43445487 2.16769893 1.11031230 0.43670091 2.23053078 1.12051738 0.43876603 2.29336264 1.13013697 0.44065870 2.35619449 1.13918815 0.44238268 2.41902634 1.14768320 0.44393759 2.48185820 1.15563082 0.44531998 2.54469005 1.16303770 0.44652472 2.60752190 1.16991025 0.44754649 2.67035376 1.17625573 0.44838088 2.73318561 1.18208360 0.44902556 2.79601746 1.18740626 0.44948105 2.85884931 1.19224011 0.44975169 2.92168117 1.19660600 0.44984613 2.98451302 1.20052941 0.44977756 3.04734487 1.20403994 0.44956334 3.11017673 1.20717022 0.44922396 3.17300858 1.20995459 0.44878202 3.23584043 1.21242754 0.44826070 3.29867229 1.21462223 0.44768243 3.36150414 1.21656901 0.44706759 3.42433599 1.21829429 0.44643331 3.48716785 1.21981967 0.44579273 3.54999970 1.22116136 0.44515432 3.61283155 1.22233033 0.44452203 3.67566340 1.22333226 0.44389513 3.73849526 1.22416834 0.44326895 3.80132711 1.22483595 0.44263538 3.86415896 1.22532961 0.44198385 3.92699082 1.22564234 0.44130241 3.98982267 1.22576683 0.44057889 4.05265452 1.22569699 0.43980234 4.11548638 1.22542926 0.43896419 4.17831823 1.22496372 0.43805940 4.24115008 1.22430482 0.43708707 4.30398194 1.22346162 0.43605075 4.36681379 1.22244724 0.43495799 4.42964564 1.22127801 0.43381952 4.49247749 1.21997214 0.43264806 4.55530935 1.21854815 0.43145685 4.61814120 1.21702335 0.43025825 4.68097305 1.21541262 0.42906255 4.74380491 1.21372737 0.42787698 4.80663676 1.21197491 0.42670513 4.86946861 1.21015834 0.42554675 4.93230047 1.20827658 0.42439784 4.99513232 1.20632504 0.42325114 5.05796417 1.20429644 0.42209697 5.12079603 1.20218191 0.42092421 5.18362788 1.19997242 0.41972158 5.24645973 1.19766015 0.41847902 5.30929158 1.19523991 0.41718894 5.37212344 1.19271016 0.41584722 5.43495529 1.19007369 0.41445388 5.49778714 1.18733770 0.41301317 5.56061900 1.18451320 0.41153302 5.62345085 1.18161408 0.41002421 5.68628270 1.17865565 0.40849899 5.74911456 1.17565321 0.40696973 5.81194641 1.17262057 0.40544760 5.87477826 1.16956903 0.40394150 5.93761012 1.16650651 0.40245731 6.00044197 1.16343722 0.40099749 6.06327382 1.16036182 0.39956127 6.12610567 1.15727755 0.39814473 6.18893753 1.15417879 0.39674129 6.25176938 1.15105790 0.39534250 6.31460123 1.14790618 0.39393895 6.37743309 1.14471468 0.39252098 6.44026494 1.14147523 0.39107964 6.50309679 1.13818121 0.38960751 6.56592865 1.13482852 0.38809946 6.62876050 1.13141595 0.38655311 6.69159235 1.12794553 0.38496917 6.75442421 1.12442238 0.38335122 6.81725606 1.12085451 0.38170563 6.88008791 1.11725201 0.38004078 6.94291976 1.11362632 0.37836636 7.00575162 1.10998938 0.37669259 7.06858347 1.10635255 0.37502922 7.13141532 1.10272595 0.37338490 7.19424718 1.09911784 0.37176659 7.25707903 1.09553416 0.37017916 7.31991088 1.09197832 0.36862512 7.38274274 1.08845133 0.36710478 7.44557459 1.08495181 0.36561626 7.50840644 1.08147647 0.36415590 7.57123830 1.07802057 0.36271870 7.63407015 1.07457833 0.36129873 7.69690200 1.07114348 0.35988958 7.75973385 1.06770995 0.35848505 7.82256571 1.06427233 0.35707956 7.88539756 1.06082633 0.35566860 7.94822941 1.05736905 0.35424899 8.01106127 1.05389931 0.35281911 8.07389312 1.05041755 0.35137892 8.13672497 1.04692573 0.34992982 8.19955683 1.04342725 0.34847457 8.26238868 1.03992644 0.34701679 8.32522053 1.03642815 0.34556066 8.38805239 1.03293739 0.34411051 8.45088424 1.02945890 0.34267042 8.51371609 1.02599701 0.34124413 8.57654794 1.02255514 0.33983455 8.63937980 1.01913586 0.33844379 8.70221165 1.01574076 0.33707309 8.76504350 1.01237042 0.33572274 8.82787536 1.00902456 0.33439224 8.89070721 1.00570217 0.33308041 8.95353906 1.00240163 0.33178553 9.01637092 0.99912099 0.33050558 9.07920277 0.99585803 0.32923827 9.14203462 0.99261053 0.32798134 9.20486648 0.98937638 0.32673264 9.26769833 0.98615378 0.32549030 9.33053018 0.98294122 0.32425276 9.39336203 0.97973748 0.32301869 9.45619389 0.97654174 0.32178718 9.58185759 0.97017282 0.31932990 9.70752130 0.96383432 0.31687967 9.77035315 0.96067733 0.31565769 9.89601686 0.95439062 0.31322196 10.02168056 0.94814445 0.31080044 10.14734427 0.94194369 0.30839697 10.27300798 0.93579256 0.30601481 10.39867168 0.92969454 0.30365668 10.52433539 0.92365231 0.30132459 10.64999910 0.91766781 0.29901995 10.77566280 0.91174246 0.29674374 10.90132651 0.90587709 0.29449643 11.02699021 0.90007206 0.29227812 11.15265392 0.89432740 0.29008865 11.27831763 0.88864291 0.28792768 11.40398133 0.88301823 0.28579473 11.52964504 0.87745295 0.28368939 11.65530874 0.87194673 0.28161127 11.78097245 0.86649926 0.27956008 11.96946801 0.85843781 0.27653346 12.09513172 0.85313654 0.27454910 12.22079542 0.84789362 0.27259148 12.34645913 0.84270893 0.27066058 12.53495469 0.83504058 0.26781414 12.66061839 0.83000024 0.26594947 12.78628210 0.82501672 0.26411072 12.97477766 0.81764619 0.26139989 13.10044137 0.81280092 0.25962317 13.28893692 0.80563292 0.25700182 13.41460063 0.80091916 0.25528216 13.60309619 0.79394305 0.25274245 13.72875990 0.78935376 0.25107471 13.91725546 0.78255951 0.24860951 14.04291916 0.77808849 0.24698946 14.23141472 0.77146769 0.24459328 14.41991028 0.76494764 0.24223656 14.54557399 0.76065584 0.24068678 14.73406955 0.75429900 0.23839341 14.92256510 0.74803755 0.23613687 15.11106066 0.74186972 0.23391638 15.29955622 0.73579381 0.23173126 15.42521993 0.73179345 0.23029381 15.61371549 0.72586703 0.22816613 15.80221105 0.72002816 0.22607207 15.99070661 0.71427523 0.22401101 16.17920217 0.70860665 0.22198232 16.36769773 0.70302087 0.21998541 16.55619328 0.69751635 0.21801968 16.74468884 0.69209157 0.21608454 16.99601626 0.68497996 0.21355093 17.18451182 0.67973544 0.21168492 17.37300737 0.67456575 0.20984758 17.56150293 0.66946946 0.20803837 17.81283035 0.66278619 0.20566890 18.00132591 0.65785580 0.20392322 18.18982146 0.65299426 0.20220389 18.44114888 0.64661704 0.19995156 18.62964444 0.64191111 0.19829174 18.88097185 0.63573677 0.19611697 19.06946741 0.63117962 0.19451400 19.32079482 0.62519930 0.19241333 19.50929038 0.62078447 0.19086468 19.76061779 0.61498973 0.18883481 20.01194520 0.60929742 0.18684397 20.20044076 0.60509387 0.18537587 20.45176817 0.59957472 0.18345097 20.70309559 0.59415118 0.18156246 20.95442300 0.58882091 0.17970940 21.20575041 0.58358163 0.17789090 21.45707782 0.57843112 0.17610609 21.70840524 0.57336725 0.17435415 21.95973265 0.56838793 0.17263423 22.21106006 0.56349114 0.17094556 22.46238747 0.55867491 0.16928736 22.71371489 0.55393734 0.16765887 23.02787415 0.54812318 0.16566393 23.27920156 0.54355591 0.16409967 23.53052898 0.53906148 0.16256282 23.84468824 0.53354331 0.16067931 24.09601565 0.52920668 0.15920176 24.41017492 0.52388070 0.15739036 24.66150233 0.51969391 0.15596895 24.97566160 0.51455049 0.15422586 25.28982086 0.50950455 0.15251916 25.54114827 0.50553617 0.15117929 25.85530754 0.50065899 0.14953545 26.16946680 0.49587200 0.14792513 26.48362607 0.49117277 0.14634737 26.79778534 0.48655897 0.14480125 27.11194460 0.48202832 0.14328588 27.42610387 0.47757864 0.14180040 27.74026313 0.47320782 0.14034398 28.05442240 0.46891381 0.13891582 28.43141351 0.46385964 0.13723824 28.74557278 0.45972779 0.13586956 29.05973205 0.45566668 0.13452676 29.43672316 0.45088423 0.13294858 29.75088243 0.44697258 0.13166030 30.12787355 0.44236463 0.13014565 30.50486467 0.43784791 0.12866411 30.81902393 0.43415177 0.12745404 31.19601505 0.42979554 0.12603056 31.57300617 0.42552332 0.12463737 31.94999729 0.42133274 0.12327356 32.32698841 0.41722150 0.12193824 32.70397952 0.41318741 0.12063055 33.08097064 0.40922835 0.11934967 33.45796176 0.40534227 0.11809482 33.89778473 0.40089812 0.11666271 34.27477585 0.39716348 0.11546168 34.65176697 0.39349582 0.11428437 35.09158994 0.38929918 0.11293991 35.46858106 0.38577067 0.11181171 35.90840403 0.38173181 0.11052281 36.34822700 0.37777430 0.10926244 36.78804997 0.37389575 0.10802972 37.16504109 0.37063236 0.10699442 37.60486406 0.36689438 0.10581072 38.10751889 0.36271117 0.10448877 38.54734186 0.35912623 0.10335818 38.98716483 0.35560955 0.10225121 39.42698780 0.35215923 0.10116712 39.92964263 0.34829491 0.09995532 40.36946560 0.34498070 0.09891802 40.87212042 0.34126739 0.09775801 41.31194339 0.33808149 0.09676459 41.81459822 0.33451063 0.09565318 42.31725304 0.33101246 0.09456647 42.81990787 0.32758480 0.09350367 43.32256269 0.32422557 0.09246401 43.82521752 0.32093278 0.09144676 44.32787234 0.31770449 0.09045123 44.89335902 0.31414746 0.08935635 45.39601384 0.31105018 0.08840474 45.89866867 0.30801184 0.08747281 46.46415535 0.30466212 0.08644718 47.02964202 0.30138266 0.08544491 47.59512870 0.29817131 0.08446521 48.16061538 0.29502600 0.08350736 48.72610206 0.29194474 0.08257063 49.29158873 0.28892561 0.08165435 49.85707541 0.28596679 0.08075787 50.42256209 0.28306651 0.07988056 51.05088062 0.27991056 0.07892753 51.61636730 0.27712836 0.07808876 52.24468583 0.27409967 0.07717717 52.87300436 0.27113493 0.07628632 53.50132289 0.26823215 0.07541552 54.12964142 0.26538946 0.07456413 54.75795995 0.26260501 0.07373149 55.38627848 0.25987707 0.07291702 56.07742887 0.25693959 0.07204137 56.70574740 0.25432492 0.07126317 57.39689778 0.25150820 0.07042611 58.08804816 0.24875183 0.06960825 58.71636670 0.24629680 0.06888088 59.40751708 0.24365044 0.06809793 60.16149932 0.24082621 0.06726363 60.85264970 0.23829303 0.06651643 61.54380008 0.23581147 0.06578548 62.29778232 0.23316136 0.06500599 63.05176456 0.23056892 0.06424458 63.74291494 0.22824162 0.06356197 64.49689718 0.22575464 0.06283350 65.25087942 0.22332019 0.06212138 66.06769350 0.22074026 0.06136775 66.82167574 0.21841009 0.06068799 67.63848983 0.21593953 0.05996824 68.39247207 0.21370716 0.05931871 69.20928616 0.21133927 0.05863062 70.02610025 0.20902227 0.05795818 70.84291434 0.20675458 0.05730087 71.72256028 0.20436583 0.05660935 72.53937437 0.20219569 0.05598189 73.41902031 0.19990865 0.05532142 74.23583440 0.19782997 0.05472183 75.11548035 0.19563835 0.05409039 75.99512629 0.19349391 0.05347325 76.93760409 0.19124695 0.05282737 77.81725003 0.18919555 0.05223838 78.75972783 0.18704508 0.05162162 79.70220562 0.18494213 0.05101917 80.58185156 0.18302089 0.05046935 81.58716121 0.18087269 0.04985524 82.52963901 0.17890331 0.04929284 83.47211681 0.17697567 0.04874292 84.47742646 0.17496406 0.04816963 85.48273610 0.17299696 0.04760960 86.48804575 0.17107292 0.04706236 87.49335540 0.16919055 0.04652750 88.56149690 0.16723472 0.04597230 89.56680655 0.16543420 0.04546167 90.63494806 0.16356252 0.04493135 91.70308956 0.16173211 0.04441320 92.77123106 0.15994163 0.04390681 93.90220442 0.15808795 0.04338301 94.97034592 0.15637572 0.04289961 96.10131927 0.15460220 0.04239933 97.23229263 0.15286792 0.04191053 98.36326598 0.15117160 0.04143282 99.55707119 0.14942088 0.04094021 100.75087640 0.14770974 0.04045912 101.88184976 0.14612396 0.04001363 103.13848682 0.14440095 0.03952997 104.33229203 0.14280086 0.03908116 105.52609723 0.14123541 0.03864238 106.78273430 0.13962378 0.03819100 108.03937136 0.13804810 0.03775000 109.35884027 0.13643102 0.03729775 110.61547733 0.13492537 0.03687696 111.93494625 0.13337941 0.03644520 113.25441516 0.13186808 0.03602339 114.57388408 0.13039025 0.03561121 115.95618484 0.12887679 0.03518937 117.27565376 0.12746420 0.03479590 118.65795453 0.12601684 0.03439299 120.10308715 0.12453807 0.03398159 121.48538791 0.12315539 0.03359716 122.93052053 0.12174199 0.03320443 124.37565316 0.12036036 0.03282074 125.82078578 0.11900944 0.03244580 127.32875025 0.11763145 0.03206356 128.83671472 0.11628471 0.03169021 130.34467920 0.11496819 0.03132542 131.91547552 0.11362787 0.03095424 133.42344000 0.11236999 0.03060608 134.99423632 0.11108872 0.03025162 136.62786450 0.10978658 0.02989156 138.19866083 0.10856275 0.02955334 139.83228901 0.10731836 0.02920959 141.52874904 0.10605570 0.02886096 143.16237722 0.10486737 0.02853301 144.85883726 0.10366097 0.02820022 146.55529729 0.10248181 0.02787510 148.31458918 0.10128678 0.02754574 150.07388106 0.10011910 0.02722406 151.83317295 0.09897785 0.02690979 153.59246483 0.09786214 0.02660268 155.41458857 0.09673262 0.02629190 157.23671231 0.09562871 0.02598828 159.12166790 0.09451276 0.02568147 161.00662350 0.09342239 0.02538181 162.89157909 0.09235673 0.02508905 164.77653468 0.09131496 0.02480295 166.72432213 0.09026273 0.02451408 168.73494142 0.08920154 0.02422286 170.68272887 0.08819690 0.02394725 172.69334817 0.08718318 0.02366924 174.76679932 0.08616177 0.02338922 176.84025047 0.08516389 0.02311573 178.91370162 0.08418873 0.02284856 180.98715277 0.08323553 0.02258749 183.12343578 0.08227565 0.02232466 185.32255064 0.08131028 0.02206041 187.45883364 0.08039383 0.02180963 189.72078035 0.07944562 0.02155022 191.91989521 0.07854484 0.02130387 194.18184192 0.07763930 0.02105627 196.50662048 0.07673001 0.02080772 198.83139905 0.07584168 0.02056497 201.15617761 0.07497360 0.02032781 203.54378803 0.07410241 0.02008986 205.93139844 0.07325115 0.01985741 208.38184071 0.07239752 0.01962437 210.83228298 0.07156347 0.01939673 213.28272525 0.07074834 0.01917432 215.79599938 0.06993132 0.01895143 218.37210535 0.06911315 0.01872828 220.94821133 0.06831383 0.01851033 223.52431730 0.06753274 0.01829738 226.16325513 0.06675083 0.01808427 228.86502481 0.06596879 0.01787116 231.56679450 0.06520480 0.01766302 234.26856418 0.06445825 0.01745966 237.03316571 0.06371178 0.01725638 239.79776725 0.06298235 0.01705777 242.68803249 0.06223737 0.01685496 245.51546588 0.06152539 0.01666118 248.40573112 0.06081418 0.01646765 251.35882821 0.06010426 0.01627450 254.31192531 0.05941068 0.01608583 257.32785426 0.05871864 0.01589761 260.34378320 0.05804249 0.01571375 263.42254400 0.05736810 0.01553040 266.50130480 0.05670917 0.01535129 269.64289746 0.05605218 0.01517273 272.84732196 0.05539752 0.01499484 276.05174647 0.05475795 0.01482107 279.31900283 0.05412084 0.01464801 282.58625919 0.05349836 0.01447894 285.91634740 0.05287845 0.01431060 289.30926747 0.05226143 0.01414307 292.70218753 0.05165861 0.01397942 296.15793945 0.05105874 0.01381660 299.67652323 0.05046210 0.01365468 303.19510700 0.04987921 0.01349651 306.77652262 0.04929957 0.01333925 310.42077010 0.04872341 0.01318295 314.06501758 0.04816054 0.01303027