# omega total a= 1 L= 2 0.06283185 0.15155919 0.00650227 0.18849556 0.32811549 0.01692291 0.31415927 0.49563535 0.02696752 0.43982297 0.65372361 0.03646510 0.56548668 0.80204941 0.04529946 0.69115038 0.94005840 0.05339981 0.81681409 1.06732257 0.06074553 0.94247780 1.18364636 0.06735477 1.06814150 1.28907365 0.07327180 1.19380521 1.38385679 0.07855558 1.31946891 1.46841337 0.08327096 1.44513262 1.54327998 0.08748149 1.57079633 1.60907021 0.09124503 1.69646003 1.66643970 0.09461160 1.82212374 1.71605859 0.09762306 1.94778745 1.75859082 0.10031372 2.07345115 1.79467997 0.10271192 2.19911486 1.82493955 0.10484153 2.32477856 1.84994740 0.10672354 2.45044227 1.87024243 0.10837714 2.57610598 1.88632322 0.10982040 2.70176968 1.89864802 0.11107074 2.82743339 1.90763553 0.11214504 2.95309709 1.91366640 0.11305967 3.07876080 1.91708534 0.11383059 3.20442451 1.91820342 0.11447319 3.33008821 1.91730032 0.11500211 3.45575192 1.91462653 0.11543091 3.58141563 1.91040540 0.11577166 3.70707933 1.90483503 0.11603459 3.83274304 1.89809042 0.11622797 3.95840674 1.89032558 0.11635815 4.08407045 1.88167579 0.11642979 4.20973416 1.87225992 0.11644630 4.33539786 1.86218272 0.11641029 4.46106157 1.85153695 0.11632413 4.58672527 1.84040526 0.11619034 4.71238898 1.82886174 0.11601182 4.83805269 1.81697310 0.11579203 4.96371639 1.80479949 0.11553486 5.08938010 1.79239502 0.11524443 5.21504380 1.77980819 0.11492486 5.34070751 1.76708211 0.11458003 5.46637122 1.75425477 0.11421334 5.59203492 1.74135934 0.11382757 5.71769863 1.72842457 0.11342489 5.84336234 1.71547514 0.11300682 5.96902604 1.70253218 0.11257432 6.09468975 1.68961372 0.11212801 6.22035345 1.67673518 0.11166818 6.34601716 1.66390986 0.11119509 6.47168087 1.65114932 0.11070900 6.59734457 1.63846372 0.11021033 6.72300828 1.62586210 0.10969969 6.84867198 1.61335255 0.10917791 6.97433569 1.60094234 0.10864601 7.09999940 1.58863795 0.10810513 7.22566310 1.57644513 0.10755651 7.35132681 1.56436889 0.10700139 7.47699052 1.55241351 0.10644096 7.60265422 1.54058259 0.10587635 7.72831793 1.52887907 0.10530856 7.85398163 1.51730526 0.10473849 7.97964534 1.50586291 0.10416692 8.10530905 1.49455332 0.10359454 8.23097275 1.48337729 0.10302193 8.35663646 1.47233525 0.10244960 8.48230016 1.46142731 0.10187799 8.60796387 1.45065326 0.10130744 8.73362758 1.44001259 0.10073826 8.85929128 1.42950461 0.10017068 8.98495499 1.41912833 0.09960488 9.11061870 1.40888265 0.09904098 9.23628240 1.39876626 0.09847907 9.36194611 1.38877769 0.09791917 9.48760981 1.37891543 0.09736131 9.61327352 1.36917782 0.09680547 9.73893723 1.35956317 0.09625165 9.86460093 1.35006981 0.09569990 9.99026464 1.34069597 0.09515019 10.11592834 1.33143994 0.09460258 10.24159205 1.32230008 0.09405719 10.36725576 1.31327470 0.09351411 10.49291946 1.30436218 0.09297349 10.61858317 1.29556093 0.09243550 10.74424688 1.28686937 0.09190030 10.86991058 1.27828595 0.09136808 10.99557429 1.26980912 0.09083902 11.12123799 1.26143729 0.09031325 11.24690170 1.25316892 0.08979091 11.37256541 1.24500240 0.08927211 11.49822911 1.23693614 0.08875690 11.62389282 1.22896850 0.08824533 11.74955652 1.22109787 0.08773740 11.87522023 1.21332259 0.08723309 12.00088394 1.20564102 0.08673237 12.12654764 1.19805153 0.08623518 12.25221135 1.19055250 0.08574145 12.37787506 1.18314233 0.08525111 12.50353876 1.17581944 0.08476411 12.62920247 1.16858229 0.08428036 12.75486617 1.16142939 0.08379983 12.88052988 1.15435925 0.08332246 13.00619359 1.14737047 0.08284821 13.13185729 1.14046165 0.08237707 13.25752100 1.13363145 0.08190902 13.38318470 1.12687856 0.08144406 13.50884841 1.12020172 0.08098220 13.63451212 1.11359969 0.08052346 13.76017582 1.10707128 0.08006786 13.88583953 1.10061531 0.07961542 14.01150324 1.09423065 0.07916619 14.13716694 1.08791618 0.07872019 14.26283065 1.08167082 0.07827745 14.38849435 1.07549350 0.07783802 14.51415806 1.06938317 0.07740192 14.63982177 1.06333882 0.07696919 14.76548547 1.05735943 0.07653984 14.89114918 1.05144400 0.07611390 15.01681288 1.04559157 0.07569140 15.14247659 1.03980120 0.07527234 15.26814030 1.03407191 0.07485674 15.39380400 1.02840280 0.07444459 15.51946771 1.02279296 0.07403591 15.64513141 1.01724147 0.07363068 15.77079512 1.01174744 0.07322888 15.89645883 1.00631002 0.07283052 16.02212253 1.00092835 0.07243559 16.14778624 0.99560160 0.07204406 16.27344995 0.99032892 0.07165590 16.39911365 0.98510950 0.07127110 16.52477736 0.97994256 0.07088964 16.65044106 0.97482730 0.07051147 16.77610477 0.96976295 0.07013658 16.90176848 0.96474876 0.06976493 17.02743218 0.95978400 0.06939651 17.15309589 0.95486792 0.06903127 17.27875959 0.94999983 0.06866918 17.40442330 0.94517902 0.06831022 17.53008701 0.94040480 0.06795434 17.65575071 0.93567651 0.06760153 17.78141442 0.93099349 0.06725176 17.90707813 0.92635508 0.06690498 18.03274183 0.92176067 0.06656116 18.15840554 0.91720962 0.06622029 18.28406924 0.91270133 0.06588233 18.40973295 0.90823521 0.06554724 18.53539666 0.90381066 0.06521501 18.66106036 0.89942712 0.06488559 18.78672407 0.89508401 0.06455897 18.91238777 0.89078079 0.06423510 19.03805148 0.88651690 0.06391397 19.16371519 0.88229183 0.06359554 19.28937889 0.87810504 0.06327979 19.41504260 0.87395602 0.06296668 19.54070631 0.86984426 0.06265619 19.66637001 0.86576927 0.06234829 19.79203372 0.86173057 0.06204295 19.91769742 0.85772766 0.06174014 20.04336113 0.85376009 0.06143984 20.16902484 0.84982738 0.06114201 20.29468854 0.84592909 0.06084664 20.42035225 0.84206476 0.06055368 20.54601595 0.83823395 0.06026311 20.67167966 0.83443624 0.05997491 20.79734337 0.83067120 0.05968905 20.92300707 0.82693840 0.05940550 21.04867078 0.82323745 0.05912423 21.17433449 0.81956794 0.05884522 21.29999819 0.81592947 0.05856844 21.42566190 0.81232165 0.05829387 21.55132560 0.80874410 0.05802147 21.67698931 0.80519645 0.05775124 21.80265302 0.80167832 0.05748313 21.92831672 0.79818935 0.05721712 22.05398043 0.79472919 0.05695321 22.17964413 0.79129749 0.05669136 22.30530784 0.78789390 0.05643155 22.43097155 0.78451809 0.05617377 22.55663525 0.78116972 0.05591799 22.68229896 0.77784849 0.05566420 22.80796267 0.77455405 0.05541238 22.93362637 0.77128611 0.05516251 23.05929008 0.76804436 0.05491458 23.18495378 0.76482849 0.05466857 23.31061749 0.76163821 0.05442447 23.43628120 0.75847322 0.05418226 23.56194490 0.75533324 0.05394193 23.68760861 0.75221800 0.05370347 23.81327231 0.74912721 0.05346686 23.93893602 0.74606060 0.05323210 24.06459973 0.74301791 0.05299917 24.19026343 0.73999886 0.05276806 24.31592714 0.73700321 0.05253875 24.44159084 0.73403069 0.05231124 24.56725455 0.73108105 0.05208552 24.69291826 0.72815404 0.05186156 24.81858196 0.72524943 0.05163937 24.94424567 0.72236696 0.05141893 25.06990938 0.71950640 0.05120022 25.19557308 0.71666751 0.05098324 25.44690049 0.71105383 0.05055440 25.57256420 0.70827858 0.05034251 25.82389161 0.70279014 0.04992374 25.94955532 0.70007651 0.04971682 26.20088273 0.69470935 0.04930787 26.32654644 0.69205540 0.04910580 26.57787385 0.68680571 0.04870640 26.82920126 0.68163227 0.04831321 26.95486497 0.67907365 0.04811891 27.20619238 0.67401162 0.04773481 27.45751979 0.66902193 0.04735661 27.58318350 0.66655375 0.04716968 27.83451091 0.66166977 0.04680009 28.08583832 0.65685445 0.04643607 28.21150203 0.65447209 0.04625611 28.46282944 0.64975714 0.04590022 28.71415685 0.64510739 0.04554960 28.96548427 0.64052153 0.04520412 29.09114797 0.63825215 0.04503327 29.34247538 0.63375973 0.04469528 29.59380280 0.62932805 0.04436215 29.84513021 0.62495591 0.04403377 30.09645762 0.62064215 0.04371003 30.34778503 0.61638562 0.04339082 30.47344874 0.61427847 0.04323289 30.72477615 0.61010571 0.04292031 30.97610356 0.60598748 0.04261202 31.22743098 0.60192271 0.04230794 31.47875839 0.59791041 0.04200798 31.73008580 0.59394958 0.04171205 31.98141321 0.59003927 0.04142007 32.23274063 0.58617853 0.04113196 32.48406804 0.58236646 0.04084765 32.73539545 0.57860216 0.04056705 32.98672286 0.57488475 0.04029011 33.23805027 0.57121340 0.04001675 33.48937769 0.56758727 0.03974689 33.74070510 0.56400556 0.03948048 33.99203251 0.56046747 0.03921745 34.24335992 0.55697223 0.03895774 34.49468734 0.55351909 0.03870129 34.74601475 0.55010731 0.03844804 34.99734216 0.54673618 0.03819793 35.37433328 0.54175417 0.03782853 35.62566069 0.53848161 0.03758603 35.87698810 0.53524730 0.03734648 36.12831552 0.53205060 0.03710983 36.37964293 0.52889088 0.03687603 36.75663405 0.52421925 0.03653057 37.00796146 0.52114926 0.03630368 37.25928887 0.51811413 0.03607947 37.51061628 0.51511328 0.03585790 37.88760740 0.51067505 0.03553040 38.13893481 0.50775747 0.03531523 38.39026223 0.50487225 0.03510254 38.76725335 0.50060397 0.03478809 39.01858076 0.49779741 0.03458144 39.39557188 0.49364476 0.03427586 39.64689929 0.49091375 0.03407501 39.89822670 0.48821213 0.03387641 40.27521782 0.48421380 0.03358265 40.52654523 0.48158367 0.03338952 40.90353635 0.47769049 0.03310381 41.15486376 0.47512911 0.03291594 41.53185488 0.47133708 0.03263797 41.78318229 0.46884184 0.03245515 42.16017341 0.46514716 0.03218461 42.53716453 0.46150913 0.03191838 42.78849194 0.45911463 0.03174326 43.16548306 0.45556824 0.03148402 43.41681047 0.45323369 0.03131346 43.79380159 0.44977559 0.03106095 44.17079271 0.44636891 0.03081235 44.54778383 0.44301255 0.03056758 44.79911124 0.44080240 0.03040648 45.17610236 0.43752750 0.03016790 45.55309348 0.43430009 0.02993292 45.93008460 0.43111917 0.02970147 46.18141201 0.42902389 0.02954909 46.55840313 0.42591828 0.02932334 46.93539424 0.42285660 0.02910093 47.31238536 0.41983794 0.02888177 47.68937648 0.41686142 0.02866580 48.06636760 0.41392618 0.02845295 48.44335872 0.41103138 0.02824315 48.82034984 0.40817620 0.02803635 49.19734096 0.40535985 0.02783247 49.57433207 0.40258156 0.02763147 49.95132319 0.39984056 0.02743327 50.32831431 0.39713613 0.02723783 50.70530543 0.39446755 0.02704509 51.08229655 0.39183412 0.02685499 51.45928767 0.38923515 0.02666748 51.83627878 0.38667000 0.02648252 52.33893361 0.38330127 0.02623976 52.71592473 0.38081252 0.02606053 53.09291585 0.37835548 0.02588367 53.46990696 0.37592956 0.02570915 53.97256179 0.37274241 0.02548001 54.34955291 0.37038688 0.02531076 54.72654403 0.36806059 0.02514369 55.22919885 0.36500342 0.02492427 55.60618997 0.36274330 0.02476215 55.98318109 0.36051068 0.02460208 56.48583591 0.35757580 0.02439179 56.86282703 0.35540546 0.02423637 57.36548185 0.35255190 0.02403213 57.74247297 0.35044131 0.02388116 58.24512780 0.34766578 0.02368274 58.62211892 0.34561251 0.02353603 59.12477374 0.34291187 0.02334318 59.62742857 0.34025269 0.02315340 60.00441968 0.33828495 0.02301305 60.50707451 0.33569608 0.02282849 61.00972933 0.33314615 0.02264682 61.38672045 0.33125874 0.02251242 61.88937528 0.32877489 0.02233564 62.39203010 0.32632766 0.02216158 62.89468492 0.32391626 0.02199016 63.39733975 0.32153991 0.02182133 63.89999457 0.31919785 0.02165504 64.40264940 0.31688936 0.02149122 64.77964052 0.31517959 0.02136995 65.28229534 0.31292813 0.02121033 65.78495017 0.31070833 0.02105305 66.41326870 0.30797709 0.02085966 66.91592352 0.30582613 0.02070744 67.41857835 0.30370474 0.02055740 67.92123317 0.30161233 0.02040949 68.42388800 0.29954831 0.02026367 68.92654282 0.29751211 0.02011988 69.42919764 0.29550317 0.01997810 70.05751618 0.29302951 0.01980361 70.56017100 0.29107995 0.01966618 71.06282582 0.28915594 0.01953062 71.69114435 0.28678611 0.01936374 72.19379918 0.28491781 0.01923225 72.82211771 0.28261610 0.01907034 73.32477253 0.28080112 0.01894275 73.95309107 0.27856464 0.01878561 74.45574589 0.27680074 0.01866174 75.08406442 0.27462678 0.01850915 75.58671925 0.27291184 0.01838885 76.21503778 0.27079782 0.01824063 76.84335631 0.26871603 0.01809475 77.34601113 0.26707331 0.01797970 77.97432966 0.26504772 0.01783791 78.60264819 0.26305238 0.01769831 79.23096672 0.26108662 0.01756086 79.85928525 0.25914978 0.01742551 80.36194008 0.25762071 0.01731870 80.99025861 0.25573436 0.01718701 81.61857714 0.25387522 0.01705728 82.24689567 0.25204269 0.01692948 82.87521420 0.25023622 0.01680356 83.62919644 0.24810207 0.01665488 84.25751497 0.24635100 0.01653296 84.88583350 0.24462428 0.01641280 85.51415203 0.24292140 0.01629436 86.14247056 0.24124188 0.01617760 86.89645280 0.23925661 0.01603965 87.52477133 0.23762680 0.01592647 88.15308986 0.23601888 0.01581486 88.90707210 0.23411763 0.01568296 89.53539063 0.23255631 0.01557470 90.28937286 0.23070978 0.01544673 90.91769139 0.22919307 0.01534167 91.67167363 0.22739893 0.01521745 92.42565587 0.22563243 0.01509522 93.05397440 0.22418101 0.01499484 93.80795664 0.22246357 0.01487611 94.56193887 0.22077203 0.01475924 95.19025740 0.21938178 0.01466323 95.94423964 0.21773623 0.01454964 96.69822188 0.21611499 0.01443779 97.45220411 0.21451751 0.01432763 98.20618635 0.21294329 0.01421913 98.96016859 0.21139181 0.01411225 99.71415082 0.20986260 0.01400695 100.46813306 0.20835517 0.01390320 101.34777900 0.20662343 0.01378408 102.10176124 0.20516164 0.01368358 102.85574348 0.20372022 0.01358452 103.60972572 0.20229874 0.01348688 104.48937166 0.20066502 0.01337471 105.24335390 0.19928538 0.01328003 106.12299984 0.19769939 0.01317124 106.87698208 0.19635976 0.01307940 107.75662802 0.19481943 0.01297384 108.51061025 0.19351811 0.01288471 109.39025620 0.19202151 0.01278224 110.26990214 0.19054770 0.01268138 111.14954808 0.18909616 0.01258210 111.90353032 0.18786933 0.01249822 112.78317626 0.18645782 0.01240175 113.66282221 0.18506720 0.01230676 114.54246815 0.18369700 0.01221320 115.42211409 0.18234678 0.01212105 116.30176004 0.18101610 0.01203027 117.18140598 0.17970454 0.01194084 118.18671563 0.17822851 0.01184023 119.06636157 0.17695657 0.01175358 119.94600751 0.17570252 0.01166818 120.95131716 0.17429072 0.01157208 121.83096311 0.17307374 0.01148927 122.83627276 0.17170337 0.01139607 123.71591870 0.17052184 0.01131575 124.72122835 0.16919112 0.01122532 125.60087429 0.16804353 0.01114736 126.60618394 0.16675075 0.01105958 127.61149359 0.16547756 0.01097317 128.61680324 0.16422351 0.01088809 129.62211289 0.16298818 0.01080432 130.62742254 0.16177114 0.01072182 131.63273219 0.16057201 0.01064056 132.63804183 0.15939038 0.01056053 133.64335148 0.15822588 0.01048168 134.64866113 0.15707815 0.01040400 135.65397078 0.15594681 0.01032746 136.78494414 0.15469323 0.01024268 137.79025379 0.15359561 0.01016847 138.92122714 0.15237912 0.01008626 139.92653679 0.15131373 0.01001429 141.05751015 0.15013270 0.00993454 142.06281980 0.14909816 0.00986471 143.19379315 0.14795108 0.00978730 144.32476651 0.14682138 0.00971110 145.45573986 0.14570867 0.00963607 146.58671322 0.14461258 0.00956219 147.71768657 0.14353274 0.00948943 148.84865993 0.14246879 0.00941776 149.97963328 0.14142038 0.00934717 151.11060664 0.14038717 0.00927762 152.24157999 0.13936884 0.00920910 153.49821705 0.13825444 0.00913414 154.62919041 0.13726649 0.00906770 155.88582747 0.13618508 0.00899501 157.01680083 0.13522618 0.00893058 158.27343789 0.13417633 0.00886005 159.53007495 0.13314255 0.00879063 160.66104830 0.13222558 0.00872907 161.91768537 0.13122133 0.00866167 163.17432243 0.13023211 0.00859530 164.43095949 0.12925759 0.00852994 165.68759655 0.12829745 0.00846557 167.06989732 0.12725753 0.00839586 168.32653438 0.12632657 0.00833348 169.58317144 0.12540904 0.00827202 170.96547221 0.12441493 0.00820545 172.22210927 0.12352469 0.00814585 173.60441004 0.12255993 0.00808128 174.86104710 0.12169577 0.00802346 176.24334787 0.12075908 0.00796080 177.62564863 0.11983660 0.00789911 179.00794940 0.11892802 0.00783837 180.39025017 0.11803303 0.00777856 181.77255094 0.11715133 0.00771965 183.15485170 0.11628263 0.00766162 184.66281618 0.11534943 0.00759931 186.04511695 0.11450699 0.00754306 187.42741771 0.11367669 0.00748765 188.93538219 0.11278445 0.00742811 190.31768295 0.11197871 0.00737436 191.82564743 0.11111267 0.00731660 193.33361190 0.11025985 0.00725974 194.84157638 0.10941994 0.00720376 196.34954085 0.10859266 0.00714863 197.85750532 0.10777773 0.00709433 199.36546980 0.10697487 0.00704085 200.87343427 0.10618382 0.00698818 202.50706245 0.10533987 0.00693199 204.01502692 0.10457260 0.00688092 205.64865510 0.10375383 0.00682643 207.15661958 0.10300929 0.00677690 208.79024776 0.10221460 0.00672404 210.42387594 0.10143202 0.00667200 212.05750412 0.10066126 0.00662075 213.69113230 0.09990208 0.00657029 215.32476048 0.09915420 0.00652059 216.95838866 0.09841738 0.00647163 218.59201684 0.09769137 0.00642341 220.35130872 0.09692135 0.00637227 221.98493690 0.09621706 0.00632550 223.74422879 0.09546991 0.00627590 225.50352067 0.09473421 0.00622707 227.26281256 0.09400971 0.00617899 229.02210445 0.09329616 0.00613165 230.78139633 0.09259331 0.00608503 232.54068822 0.09190092 0.00603911 234.29998010 0.09121876 0.00599388 236.18493570 0.09049898 0.00594616 237.94422758 0.08983731 0.00590231 239.82918318 0.08913898 0.00585603 241.71413877 0.08845138 0.00581047 243.47343065 0.08781909 0.00576859 245.35838625 0.08715154 0.00572437 247.24334184 0.08649402 0.00568083 249.25396114 0.08580347 0.00563511 251.13891673 0.08516598 0.00559291