# omega total a= 1 L= 2 0.06283185 0.15278676 0.00642544 0.18849556 0.32954002 0.01672212 0.31415927 0.49718895 0.02666002 0.43982297 0.65542133 0.03607668 0.56548668 0.80390448 0.04485843 0.69115038 0.94207306 0.05293480 0.81681409 1.06948231 0.06027786 0.94247780 1.18592116 0.06689604 1.06814150 1.29142094 0.07282376 1.19380521 1.38622756 0.07811274 1.31946891 1.47075759 0.08282337 1.44513262 1.54555054 0.08701715 1.57079633 1.61122620 0.09075221 1.69646003 1.66844960 0.09408140 1.82212374 1.71790322 0.09705180 1.94778745 1.76026489 0.09970434 2.07345115 1.79619140 0.10207381 2.19911486 1.82630689 0.10418905 2.32477856 1.85119575 0.10607359 2.45044227 1.87139907 0.10774656 2.57610598 1.88741376 0.10922380 2.70176968 1.89969358 0.11051904 2.82743339 1.90865137 0.11164494 2.95309709 1.91466191 0.11261393 3.07876080 1.91806501 0.11343886 3.20442451 1.91916813 0.11413300 3.33008821 1.91824866 0.11470968 3.45575192 1.91555577 0.11518174 3.58141563 1.91131211 0.11556085 3.70707933 1.90571549 0.11585704 3.83274304 1.89894093 0.11607852 3.95840674 1.89114276 0.11623175 4.08407045 1.88245688 0.11632169 4.20973416 1.87300311 0.11635231 4.33539786 1.86288734 0.11632695 4.46106157 1.85220360 0.11624884 4.58672527 1.84103577 0.11612136 4.71238898 1.82945888 0.11594818 4.83805269 1.81754025 0.11573333 4.96371639 1.80534019 0.11548100 5.08938010 1.79291261 0.11519542 5.21504380 1.78030545 0.11488064 5.34070751 1.76756111 0.11454036 5.46637122 1.75471683 0.11417780 5.59203492 1.74180519 0.11379566 5.71769863 1.72885453 0.11339614 5.84336234 1.71588942 0.11298094 5.96902604 1.70293113 0.11255136 6.09468975 1.68999807 0.11210839 6.22035345 1.67710614 0.11165275 6.34601716 1.66426911 0.11118499 6.47168087 1.65149887 0.11070556 6.59734457 1.63880573 0.11021487 6.72300828 1.62619864 0.10971331 6.84867198 1.61368535 0.10920135 6.97433569 1.60127261 0.10867950 7.09999940 1.58896628 0.10814839 7.22566310 1.57677144 0.10760871 7.35132681 1.56469249 0.10706122 7.47699052 1.55273318 0.10650673 7.60265422 1.54089671 0.10594611 7.72831793 1.52918581 0.10538027 7.85398163 1.51760268 0.10481007 7.97964534 1.50614921 0.10423645 8.10530905 1.49482693 0.10366040 8.23097275 1.48363702 0.10308281 8.35663646 1.47258042 0.10250464 8.48230016 1.46165782 0.10192684 8.60796387 1.45086961 0.10135027 8.73362758 1.44021590 0.10077573 8.85929128 1.42969652 0.10020391 8.98495499 1.41931095 0.09963533 9.11061870 1.40905840 0.09907040 9.23628240 1.39893774 0.09850931 9.36194611 1.38894752 0.09795211 9.48760981 1.37908608 0.09739871 9.61327352 1.36935151 0.09684887 9.73893723 1.35974177 0.09630231 9.86460093 1.35025467 0.09575865 9.99026464 1.34088800 0.09521753 10.11592834 1.33163953 0.09467858 10.24159205 1.32250709 0.09414151 10.36725576 1.31348853 0.09360606 10.49291946 1.30458183 0.09307204 10.61858317 1.29578503 0.09253937 10.74424688 1.28709631 0.09200802 10.86991058 1.27851391 0.09147804 10.99557429 1.27003616 0.09094952 11.12123799 1.26166149 0.09042263 11.24690170 1.25338837 0.08989756 11.37256541 1.24521534 0.08937452 11.49822911 1.23714093 0.08885371 11.62389282 1.22916376 0.08833537 11.74955652 1.22128243 0.08781972 11.87522023 1.21349557 0.08730696 12.00088394 1.20580180 0.08679727 12.12654764 1.19819973 0.08629082 12.25221135 1.19068802 0.08578775 12.37787506 1.18326529 0.08528820 12.50353876 1.17593017 0.08479224 12.62920247 1.16868128 0.08429996 12.75486617 1.16151727 0.08381142 12.88052988 1.15443676 0.08332665 13.00619359 1.14743842 0.08284568 13.13185729 1.14052090 0.08236854 13.25752100 1.13368287 0.08189521 13.38318470 1.12692301 0.08142567 13.50884841 1.12024002 0.08095993 13.63451212 1.11363266 0.08049797 13.76017582 1.10709964 0.08003976 13.88583953 1.10063975 0.07958528 14.01150324 1.09425177 0.07913451 14.13716694 1.08793453 0.07868743 14.26283065 1.08168687 0.07824400 14.38849435 1.07550765 0.07780422 14.51415806 1.06939579 0.07736807 14.63982177 1.06335019 0.07693552 14.76548547 1.05736979 0.07650655 14.89114918 1.05145356 0.07608114 15.01681288 1.04560048 0.07565929 15.14247659 1.03980956 0.07524096 15.26814030 1.03407982 0.07482615 15.39380400 1.02841031 0.07441482 15.51946771 1.02280010 0.07400696 15.64513141 1.01724826 0.07360255 15.77079512 1.01175389 0.07320155 15.89645883 1.00631611 0.07280394 16.02212253 1.00093405 0.07240971 16.14778624 0.99560686 0.07201882 16.27344995 0.99033371 0.07163124 16.39911365 0.98511378 0.07124694 16.52477736 0.97994627 0.07086591 16.65044106 0.97483038 0.07048810 16.77610477 0.96976536 0.07011349 16.90176848 0.96475045 0.06974205 17.02743218 0.95978490 0.06937376 17.15309589 0.95486801 0.06900859 17.27875959 0.94999905 0.06864650 17.40442330 0.94517733 0.06828748 17.53008701 0.94040219 0.06793150 17.65575071 0.93567294 0.06757853 17.78141442 0.93098893 0.06722856 17.90707813 0.92634955 0.06688156 18.03274183 0.92175415 0.06653750 18.15840554 0.91720213 0.06619637 18.28406924 0.91269288 0.06585814 18.40973295 0.90822582 0.06552279 18.53539666 0.90380038 0.06519031 18.66106036 0.89941598 0.06486067 18.78672407 0.89507207 0.06453386 18.91238777 0.89076811 0.06420984 19.03805148 0.88650356 0.06388861 19.16371519 0.88227790 0.06357014 19.28937889 0.87809061 0.06325440 19.41504260 0.87394117 0.06294138 19.54070631 0.86982910 0.06263105 19.66637001 0.86575390 0.06232338 19.79203372 0.86171508 0.06201836 19.91769742 0.85771216 0.06171595 20.04336113 0.85374469 0.06141613 20.16902484 0.84981218 0.06111887 20.29468854 0.84591418 0.06082414 20.42035225 0.84205026 0.06053190 20.54601595 0.83821995 0.06024214 20.67167966 0.83442282 0.05995480 20.79734337 0.83065845 0.05966987 20.92300707 0.82692641 0.05938731 21.04867078 0.82322628 0.05910709 21.17433449 0.81955764 0.05882917 21.29999819 0.81592010 0.05855352 21.42566190 0.81231326 0.05828010 21.55132560 0.80873672 0.05800889 21.67698931 0.80519011 0.05773985 21.80265302 0.80167303 0.05747295 21.92831672 0.79818512 0.05720815 22.05398043 0.79472603 0.05694543 22.17964413 0.79129538 0.05668477 22.30530784 0.78789284 0.05642613 22.43097155 0.78451804 0.05616949 22.55663525 0.78117067 0.05591483 22.68229896 0.77785040 0.05566211 22.80796267 0.77455688 0.05541133 22.93362637 0.77128982 0.05516245 23.05929008 0.76804889 0.05491546 23.18495378 0.76483380 0.05467035 23.31061749 0.76164425 0.05442710 23.43628120 0.75847993 0.05418568 23.56194490 0.75534057 0.05394609 23.68760861 0.75222589 0.05370832 23.81327231 0.74913560 0.05347235 23.93893602 0.74606944 0.05323816 24.06459973 0.74302713 0.05300576 24.19026343 0.74000843 0.05277512 24.31592714 0.73701306 0.05254624 24.44159084 0.73404077 0.05231911 24.56725455 0.73109132 0.05209371 24.69291826 0.72816445 0.05187005 24.81858196 0.72525993 0.05164810 24.94424567 0.72237752 0.05142786 25.06990938 0.71951697 0.05120932 25.19557308 0.71667806 0.05099246 25.44690049 0.71106424 0.05056379 25.57256420 0.70828887 0.05035194 25.82389161 0.70280012 0.04993316 25.94955532 0.70008631 0.04972622 26.20088273 0.69471872 0.04931714 26.32654644 0.69206453 0.04911498 26.57787385 0.68681434 0.04871537 26.82920126 0.68164036 0.04832193 26.95486497 0.67908146 0.04812749 27.20619238 0.67401887 0.04774309 27.45751979 0.66902860 0.04736457 27.58318350 0.66656013 0.04717748 27.83451091 0.66167558 0.04680755 28.08583832 0.65685970 0.04644320 28.21150203 0.65447708 0.04626308 28.46282944 0.64976158 0.04590687 28.71415685 0.64511132 0.04555593 28.96548427 0.64052496 0.04521014 29.09114797 0.63825535 0.04503914 29.34247538 0.63376247 0.04470087 29.59380280 0.62933036 0.04436747 29.84513021 0.62495780 0.04403882 30.09645762 0.62064365 0.04371483 30.34778503 0.61638675 0.04339539 30.47344874 0.61427942 0.04323735 30.72477615 0.61010633 0.04292455 30.97610356 0.60598777 0.04261606 31.22743098 0.60192271 0.04231179 31.47875839 0.59791013 0.04201165 31.73008580 0.59394904 0.04171555 31.98141321 0.59003848 0.04142341 32.23274063 0.58617751 0.04113515 32.48406804 0.58236522 0.04085070 32.73539545 0.57860071 0.04056997 32.98672286 0.57488312 0.04029291 33.23805027 0.57121158 0.04001942 33.48937769 0.56758529 0.03974946 33.74070510 0.56400341 0.03948295 33.99203251 0.56046517 0.03921982 34.24335992 0.55696979 0.03896002 34.49468734 0.55351652 0.03870348 34.74601475 0.55010463 0.03845015 34.99734216 0.54673338 0.03819996 35.37433328 0.54175120 0.03783045 35.62566069 0.53847854 0.03758789 35.87698810 0.53524415 0.03734828 36.12831552 0.53204736 0.03711157 36.37964293 0.52888755 0.03687771 36.75663405 0.52421581 0.03653217 37.00796146 0.52114576 0.03630523 37.25928887 0.51811056 0.03608098 37.51061628 0.51510965 0.03585937 37.88760740 0.51067135 0.03553180 38.13893481 0.50775372 0.03531660 38.39026223 0.50486845 0.03510388 38.76725335 0.50060011 0.03478938 39.01858076 0.49779351 0.03458270 39.39557188 0.49364080 0.03427707 39.64689929 0.49090976 0.03407620 39.89822670 0.48820812 0.03387757 40.27521782 0.48420976 0.03358378 40.52654523 0.48157960 0.03339063 40.90353635 0.47768640 0.03310489 41.15486376 0.47512499 0.03291700 41.53185488 0.47133295 0.03263900 41.78318229 0.46883769 0.03245616 42.16017341 0.46514299 0.03218560 42.53716453 0.46150496 0.03191936 42.78849194 0.45911045 0.03174422 43.16548306 0.45556405 0.03148496 43.41681047 0.45322951 0.03131439 43.79380159 0.44977140 0.03106186 44.17079271 0.44636473 0.03081325 44.54778383 0.44300837 0.03056847 44.79911124 0.44079822 0.03040736 45.17610236 0.43752333 0.03016877 45.55309348 0.43429593 0.02993378 45.93008460 0.43111501 0.02970232 46.18141201 0.42901975 0.02954994 46.55840313 0.42591415 0.02932419 46.93539424 0.42285248 0.02910176 47.31238536 0.41983384 0.02888260 47.68937648 0.41685734 0.02866662 48.06636760 0.41392212 0.02845377 48.44335872 0.41102734 0.02824397 48.82034984 0.40817218 0.02803716 49.19734096 0.40535585 0.02783328 49.57433207 0.40257758 0.02763227 49.95132319 0.39983660 0.02743408 50.32831431 0.39713219 0.02723863 50.70530543 0.39446364 0.02704589 51.08229655 0.39183023 0.02685579 51.45928767 0.38923129 0.02666828 51.83627878 0.38666616 0.02648332 52.33893361 0.38329747 0.02624056 52.71592473 0.38080874 0.02606133 53.09291585 0.37835173 0.02588447 53.46990696 0.37592584 0.02570995 53.97256179 0.37273873 0.02548081 54.34955291 0.37038322 0.02531155 54.72654403 0.36805695 0.02514449 55.22919885 0.36499982 0.02492507 55.60618997 0.36273973 0.02476295 55.98318109 0.36050714 0.02460288 56.48583591 0.35757229 0.02439259 56.86282703 0.35540198 0.02423717 57.36548185 0.35254846 0.02403294 57.74247297 0.35043789 0.02388197 58.24512780 0.34766239 0.02368355 58.62211892 0.34560916 0.02353684 59.12477374 0.34290856 0.02334399 59.62742857 0.34024941 0.02315421 60.00441968 0.33828170 0.02301386 60.50707451 0.33569286 0.02282930 61.00972933 0.33314297 0.02264763 61.38672045 0.33125558 0.02251323 61.88937528 0.32877176 0.02233646 62.39203010 0.32632457 0.02216239 62.89468492 0.32391321 0.02199098 63.39733975 0.32153689 0.02182215 63.89999457 0.31919487 0.02165585 64.40264940 0.31688641 0.02149204 64.77964052 0.31517666 0.02137077 65.28229534 0.31292524 0.02121116 65.78495017 0.31070547 0.02105388 66.41326870 0.30797427 0.02086048 66.91592352 0.30582334 0.02070827 67.41857835 0.30370199 0.02055823 67.92123317 0.30160961 0.02041032 68.42388800 0.29954562 0.02026449 68.92654282 0.29750945 0.02012071 69.42919764 0.29550053 0.01997892 70.05751618 0.29302691 0.01980444 70.56017100 0.29107738 0.01966701 71.06282582 0.28915340 0.01953144 71.69114435 0.28678361 0.01936456 72.19379918 0.28491533 0.01923307 72.82211771 0.28261366 0.01907117 73.32477253 0.28079871 0.01894357 73.95309107 0.27856227 0.01878643 74.45574589 0.27679839 0.01866256 75.08406442 0.27462446 0.01850998 75.58671925 0.27290955 0.01838967 76.21503778 0.27079556 0.01824145 76.84335631 0.26871380 0.01809557 77.34601113 0.26707111 0.01798052 77.97432966 0.26504555 0.01783873 78.60264819 0.26305024 0.01769913 79.23096672 0.26108450 0.01756168 79.85928525 0.25914770 0.01742633 80.36194008 0.25761865 0.01731952 80.99025861 0.25573233 0.01718783 81.61857714 0.25387321 0.01705810 82.24689567 0.25204072 0.01693029 82.87521420 0.25023427 0.01680437 83.62919644 0.24810015 0.01665570 84.25751497 0.24634911 0.01653378 84.88583350 0.24462241 0.01641361 85.51415203 0.24291956 0.01629517 86.14247056 0.24124006 0.01617840 86.89645280 0.23925482 0.01604046 87.52477133 0.23762504 0.01592728 88.15308986 0.23601714 0.01581567 88.90707210 0.23411592 0.01568376 89.53539063 0.23255462 0.01557550 90.28937286 0.23070812 0.01544753 90.91769139 0.22919143 0.01534247 91.67167363 0.22739732 0.01521825 92.42565587 0.22563085 0.01509601 93.05397440 0.22417945 0.01499562 93.80795664 0.22246203 0.01487690 94.56193887 0.22077052 0.01476002 95.19025740 0.21938029 0.01466401 95.94423964 0.21773476 0.01455042 96.69822188 0.21611354 0.01443856 97.45220411 0.21451609 0.01432840 98.20618635 0.21294189 0.01421990 98.96016859 0.21139043 0.01411302 99.71415082 0.20986124 0.01400772 100.46813306 0.20835383 0.01390397 101.34777900 0.20662211 0.01378484 102.10176124 0.20516034 0.01368433 102.85574348 0.20371894 0.01358527 103.60972572 0.20229749 0.01348763 104.48937166 0.20066379 0.01337546 105.24335390 0.19928417 0.01328078 106.12299984 0.19769819 0.01317199 106.87698208 0.19635858 0.01308014 107.75662802 0.19481828 0.01297458 108.51061025 0.19351697 0.01288544 109.39025620 0.19202039 0.01278298 110.26990214 0.19054660 0.01268211 111.14954808 0.18909508 0.01258283 111.90353032 0.18786826 0.01249894 112.78317626 0.18645678 0.01240248 113.66282221 0.18506617 0.01230748 114.54246815 0.18369599 0.01221392 115.42211409 0.18234578 0.01212176 116.30176004 0.18101512 0.01203098 117.18140598 0.17970358 0.01194154 118.18671563 0.17822757 0.01184094 119.06636157 0.17695565 0.01175428 119.94600751 0.17570160 0.01166887 120.95131716 0.17428983 0.01157277 121.83096311 0.17307286 0.01148996 122.83627276 0.17170251 0.01139676 123.71591870 0.17052099 0.01131643 124.72122835 0.16919029 0.01122600 125.60087429 0.16804270 0.01114804 126.60618394 0.16674995 0.01106026 127.61149359 0.16547677 0.01097384 128.61680324 0.16422273 0.01088876 129.62211289 0.16298741 0.01080498 130.62742254 0.16177039 0.01072248 131.63273219 0.16057127 0.01064122 132.63804183 0.15938966 0.01056118 133.64335148 0.15822517 0.01048233 134.64866113 0.15707745 0.01040464 135.65397078 0.15594613 0.01032810 136.78494414 0.15469256 0.01024331 137.79025379 0.15359495 0.01016911 138.92122714 0.15237847 0.01008689 139.92653679 0.15131309 0.01001492 141.05751015 0.15013208 0.00993517 142.06281980 0.14909754 0.00986533 143.19379315 0.14795047 0.00978792 144.32476651 0.14682079 0.00971171 145.45573986 0.14570809 0.00963668 146.58671322 0.14461201 0.00956279 147.71768657 0.14353218 0.00949003 148.84865993 0.14246824 0.00941836 149.97963328 0.14141984 0.00934776 151.11060664 0.14038664 0.00927821 152.24157999 0.13936833 0.00920969 153.49821705 0.13825393 0.00913472 154.62919041 0.13726599 0.00906829 155.88582747 0.13618459 0.00899559 157.01680083 0.13522570 0.00893115 158.27343789 0.13417586 0.00886062 159.53007495 0.13314209 0.00879120 160.66104830 0.13222513 0.00872963 161.91768537 0.13122088 0.00866223 163.17432243 0.13023167 0.00859586 164.43095949 0.12925716 0.00853050 165.68759655 0.12829703 0.00846612 167.06989732 0.12725711 0.00839641 168.32653438 0.12632616 0.00833403 169.58317144 0.12540864 0.00827256 170.96547221 0.12441455 0.00820598 172.22210927 0.12352431 0.00814638 173.60441004 0.12255955 0.00808181 174.86104710 0.12169540 0.00802399 176.24334787 0.12075872 0.00796133 177.62564863 0.11983625 0.00789964 179.00794940 0.11892768 0.00783889 180.39025017 0.11803270 0.00777907 181.77255094 0.11715100 0.00772016 183.15485170 0.11628230 0.00766213 184.66281618 0.11534912 0.00759981 186.04511695 0.11450668 0.00754357 187.42741771 0.11367638 0.00748815 188.93538219 0.11278415 0.00742861 190.31768295 0.11197841 0.00737485 191.82564743 0.11111238 0.00731709 193.33361190 0.11025957 0.00726023 194.84157638 0.10941967 0.00720424 196.34954085 0.10859239 0.00714911 197.85750532 0.10777747 0.00709481 199.36546980 0.10697461 0.00704133 200.87343427 0.10618356 0.00698865 202.50706245 0.10533962 0.00693245 204.01502692 0.10457235 0.00688138 205.64865510 0.10375359 0.00682689 207.15661958 0.10300905 0.00677736 208.79024776 0.10221437 0.00672449 210.42387594 0.10143179 0.00667245 212.05750412 0.10066104 0.00662120 213.69113230 0.09990186 0.00657074 215.32476048 0.09915399 0.00652103 216.95838866 0.09841717 0.00647207 218.59201684 0.09769117 0.00642384 220.35130872 0.09692115 0.00637270 221.98493690 0.09621687 0.00632593 223.74422879 0.09546972 0.00627633 225.50352067 0.09473402 0.00622750 227.26281256 0.09400953 0.00617942 229.02210445 0.09329598 0.00613207 230.78139633 0.09259313 0.00608545 232.54068822 0.09190075 0.00603953 234.29998010 0.09121859 0.00599429 236.18493570 0.09049881 0.00594657 237.94422758 0.08983715 0.00590271 239.82918318 0.08913883 0.00585643 241.71413877 0.08845123 0.00581087 243.47343065 0.08781894 0.00576898 245.35838625 0.08715139 0.00572477 247.24334184 0.08649388 0.00568122 249.25396114 0.08580333 0.00563550 251.13891673 0.08516585 0.00559330