# omega total a= 1 L= 2 0.06283185 0.14024542 0.00651288 0.18849556 0.31440081 0.01692876 0.31415927 0.47915553 0.02699847 0.43982297 0.63485139 0.03656183 0.56548668 0.78115934 0.04550148 0.69115038 0.91757347 0.05374077 0.81681409 1.04368182 0.06124842 0.94247780 1.15927224 0.06803053 1.06814150 1.26435040 0.07412001 1.19380521 1.35911897 0.07956653 1.31946891 1.44393983 0.08442704 1.44513262 1.51929216 0.08875834 1.57079633 1.58573436 0.09261296 1.69646003 1.64387226 0.09603771 1.82212374 1.69433392 0.09907385 1.94778745 1.73775079 0.10175839 2.07345115 1.77474412 0.10412584 2.19911486 1.80591443 0.10620895 2.32477856 1.83183368 0.10803902 2.45044227 1.85303924 0.10964535 2.57610598 1.87002969 0.11105447 2.70176968 1.88326240 0.11228925 2.82743339 1.89315268 0.11336845 2.95309709 1.90007474 0.11430661 3.07876080 1.90436393 0.11511469 3.20442451 1.90632001 0.11580085 3.33008821 1.90621096 0.11637168 3.45575192 1.90427699 0.11683327 3.58141563 1.90073426 0.11719220 3.70707933 1.89577793 0.11745600 3.83274304 1.88958474 0.11763339 3.95840674 1.88231459 0.11773389 4.08407045 1.87411165 0.11776726 4.20973416 1.86510507 0.11774276 4.33539786 1.85540957 0.11766850 4.46106157 1.84512622 0.11755103 4.58672527 1.83434344 0.11739519 4.71238898 1.82313824 0.11720429 4.83805269 1.81157769 0.11698041 4.96371639 1.79972036 0.11672488 5.08938010 1.78761774 0.11643875 5.21504380 1.77531547 0.11612306 5.34070751 1.76285433 0.11577916 5.46637122 1.75027088 0.11540877 5.59203492 1.73759805 0.11501388 5.71769863 1.72486534 0.11459673 5.84336234 1.71209906 0.11415952 5.96902604 1.69932249 0.11370435 6.09468975 1.68655602 0.11323304 6.22035345 1.67381738 0.11274714 6.34601716 1.66112191 0.11224787 6.47168087 1.64848283 0.11173623 6.59734457 1.63591159 0.11121309 6.72300828 1.62341813 0.11067925 6.84867198 1.61101120 0.11013556 6.97433569 1.59869848 0.10958291 7.09999940 1.58648680 0.10902233 7.22566310 1.57438219 0.10845491 7.35132681 1.56238997 0.10788178 7.47699052 1.55051472 0.10730407 7.60265422 1.53876037 0.10672288 7.72831793 1.52713010 0.10613918 7.85398163 1.51562649 0.10555386 7.97964534 1.50425146 0.10496762 8.10530905 1.49300633 0.10438103 8.23097275 1.48189191 0.10379452 8.35663646 1.47090854 0.10320837 8.48230016 1.46005612 0.10262278 8.60796387 1.44933427 0.10203787 8.73362758 1.43874232 0.10145369 8.85929128 1.42827940 0.10087033 8.98495499 1.41794458 0.10028789 9.11061870 1.40773676 0.09970645 9.23628240 1.39765484 0.09912622 9.36194611 1.38769777 0.09854745 9.48760981 1.37786442 0.09797044 9.61327352 1.36815370 0.09739553 9.73893723 1.35856452 0.09682313 9.86460093 1.34909577 0.09625362 9.99026464 1.33974623 0.09568736 10.11592834 1.33051467 0.09512470 10.24159205 1.32139977 0.09456591 10.36725576 1.31240008 0.09401121 10.49291946 1.30351405 0.09346071 10.61858317 1.29474003 0.09291447 10.74424688 1.28607631 0.09237248 10.86991058 1.27752109 0.09183468 10.99557429 1.26907249 0.09130093 11.12123799 1.26072864 0.09077108 11.24690170 1.25248762 0.09024497 11.37256541 1.24434756 0.08972242 11.49822911 1.23630658 0.08920325 11.62389282 1.22836286 0.08868732 11.74955652 1.22051462 0.08817450 11.87522023 1.21276014 0.08766468 12.00088394 1.20509775 0.08715780 12.12654764 1.19752586 0.08665379 12.25221135 1.19004292 0.08615265 12.37787506 1.18264743 0.08565436 12.50353876 1.17533795 0.08515895 12.62920247 1.16811308 0.08466645 12.75486617 1.16097146 0.08417690 12.88052988 1.15391174 0.08369034 13.00619359 1.14693265 0.08320684 13.13185729 1.14003290 0.08272643 13.25752100 1.13321126 0.08224919 13.38318470 1.12646649 0.08177516 13.50884841 1.11979741 0.08130439 13.63451212 1.11320283 0.08083693 13.76017582 1.10668159 0.08037282 13.88583953 1.10023255 0.07991210 14.01150324 1.09385463 0.07945484 14.13716694 1.08754670 0.07900103 14.26283065 1.08130769 0.07855074 14.38849435 1.07513656 0.07810399 14.51415806 1.06903225 0.07766079 14.63982177 1.06299374 0.07722117 14.76548547 1.05702006 0.07678517 14.89114918 1.05111021 0.07635280 15.01681288 1.04526320 0.07592405 15.14247659 1.03947810 0.07549895 15.26814030 1.03375396 0.07507749 15.39380400 1.02808987 0.07465967 15.51946771 1.02248491 0.07424548 15.64513141 1.01693819 0.07383492 15.77079512 1.01144883 0.07342798 15.89645883 1.00601597 0.07302462 16.02212253 1.00063875 0.07262484 16.14778624 0.99531633 0.07222861 16.27344995 0.99004790 0.07183590 16.39911365 0.98483265 0.07144669 16.52477736 0.97966978 0.07106094 16.65044106 0.97455852 0.07067864 16.77610477 0.96949810 0.07029974 16.90176848 0.96448778 0.06992423 17.02743218 0.95952683 0.06955206 17.15309589 0.95461451 0.06918321 17.27875959 0.94975014 0.06881765 17.40442330 0.94493301 0.06845533 17.53008701 0.94016245 0.06809625 17.65575071 0.93543780 0.06774037 17.78141442 0.93075839 0.06738764 17.90707813 0.92612361 0.06703806 18.03274183 0.92153282 0.06669158 18.15840554 0.91698539 0.06634817 18.28406924 0.91248074 0.06600782 18.40973295 0.90801825 0.06567047 18.53539666 0.90359737 0.06533612 18.66106036 0.89921750 0.06500472 18.78672407 0.89487809 0.06467624 18.91238777 0.89057858 0.06435065 19.03805148 0.88631844 0.06402793 19.16371519 0.88209713 0.06370804 19.28937889 0.87791412 0.06339094 19.41504260 0.87376889 0.06307660 19.54070631 0.86966094 0.06276499 19.66637001 0.86558978 0.06245608 19.79203372 0.86155489 0.06214983 19.91769742 0.85755581 0.06184621 20.04336113 0.85359206 0.06154518 20.16902484 0.84966316 0.06124670 20.29468854 0.84576866 0.06095074 20.42035225 0.84190810 0.06065727 20.54601595 0.83808104 0.06036626 20.67167966 0.83428704 0.06007765 20.79734337 0.83052567 0.05979143 20.92300707 0.82679651 0.05950755 21.04867078 0.82309914 0.05922599 21.17433449 0.81943315 0.05894670 21.29999819 0.81579814 0.05866966 21.42566190 0.81219371 0.05839484 21.55132560 0.80861948 0.05812220 21.67698931 0.80507507 0.05785171 21.80265302 0.80156011 0.05758336 21.92831672 0.79807421 0.05731709 22.05398043 0.79461704 0.05705289 22.17964413 0.79118825 0.05679075 22.30530784 0.78778748 0.05653063 22.43097155 0.78441439 0.05627250 22.55663525 0.78106866 0.05601636 22.68229896 0.77774996 0.05576218 22.80796267 0.77445798 0.05550994 22.93362637 0.77119239 0.05525962 23.05929008 0.76795290 0.05501121 23.18495378 0.76473920 0.05476470 23.31061749 0.76155101 0.05452006 23.43628120 0.75838802 0.05427729 23.56194490 0.75524996 0.05403637 23.68760861 0.75213655 0.05379730 23.81327231 0.74904751 0.05356005 23.93893602 0.74598258 0.05332463 24.06459973 0.74294149 0.05309101 24.19026343 0.73992398 0.05285919 24.31592714 0.73692978 0.05262917 24.44159084 0.73395866 0.05240092 24.56725455 0.73101036 0.05217444 24.69291826 0.72808464 0.05194972 24.81858196 0.72518125 0.05172675 24.94424567 0.72229995 0.05150552 25.06990938 0.71944051 0.05128602 25.19557308 0.71660270 0.05106823 25.44690049 0.71099104 0.05063777 25.57256420 0.70821674 0.05042507 25.82389161 0.70273008 0.05000467 25.94955532 0.70001730 0.04979695 26.20088273 0.69465174 0.04938638 26.32654644 0.69199854 0.04918351 26.57787385 0.68675029 0.04878252 26.82920126 0.68157820 0.04838777 26.95486497 0.67902023 0.04819270 27.20619238 0.67395943 0.04780708 27.45751979 0.66897091 0.04742739 27.58318350 0.66650329 0.04723973 27.83451091 0.66162038 0.04686870 28.08583832 0.65680609 0.04650329 28.21150203 0.65442423 0.04632264 28.46282944 0.64971023 0.04596541 28.71415685 0.64506139 0.04561348 28.96548427 0.64047640 0.04526672 29.09114797 0.63820745 0.04509525 29.34247538 0.63371585 0.04475605 29.59380280 0.62928496 0.04442174 29.84513021 0.62491357 0.04409220 30.09645762 0.62060053 0.04376734 30.34778503 0.61634470 0.04344705 30.47344874 0.61423788 0.04328859 30.72477615 0.61006578 0.04297496 30.97610356 0.60594817 0.04266567 31.22743098 0.60188401 0.04236060 31.47875839 0.59787229 0.04205968 31.73008580 0.59391203 0.04176282 31.98141321 0.59000225 0.04146993 32.23274063 0.58614203 0.04118094 32.48406804 0.58233046 0.04089577 32.73539545 0.57856663 0.04061435 32.98672286 0.57484969 0.04033659 33.23805027 0.57117878 0.04006243 33.48937769 0.56755308 0.03979181 33.74070510 0.56397178 0.03952465 33.99203251 0.56043408 0.03926089 34.24335992 0.55693923 0.03900047 34.49468734 0.55348646 0.03874332 34.74601475 0.55007504 0.03848939 34.99734216 0.54670425 0.03823862 35.37433328 0.54172272 0.03786826 35.62566069 0.53845047 0.03762514 35.87698810 0.53521647 0.03738499 36.12831552 0.53202006 0.03714775 36.37964293 0.52886061 0.03691337 36.75663405 0.52418939 0.03656707 37.00796146 0.52111965 0.03633964 37.25928887 0.51808477 0.03611490 37.51061628 0.51508416 0.03589282 37.88760740 0.51064628 0.03556456 38.13893481 0.50772892 0.03534890 38.39026223 0.50484391 0.03513574 38.76725335 0.50057594 0.03482059 39.01858076 0.49776957 0.03461350 39.39557188 0.49361720 0.03430726 39.64689929 0.49088637 0.03410598 39.89822670 0.48818492 0.03390696 40.27521782 0.48418685 0.03361259 40.52654523 0.48155688 0.03341907 40.90353635 0.47766394 0.03313279 41.15486376 0.47510270 0.03294454 41.53185488 0.47131089 0.03266602 41.78318229 0.46881579 0.03248285 42.16017341 0.46512130 0.03221179 42.53716453 0.46148347 0.03194506 42.78849194 0.45908909 0.03176961 43.16548306 0.45554288 0.03150989 43.41681047 0.45320845 0.03133902 43.79380159 0.44975051 0.03108606 44.17079271 0.44634399 0.03083702 44.54778383 0.44298779 0.03059182 44.79911124 0.44077773 0.03043044 45.17610236 0.43750298 0.03019145 45.55309348 0.43427571 0.02995608 45.93008460 0.43109492 0.02972424 46.18141201 0.42899973 0.02957161 46.55840313 0.42589424 0.02934550 46.93539424 0.42283268 0.02912273 47.31238536 0.41981414 0.02890322 47.68937648 0.41683773 0.02868691 48.06636760 0.41390260 0.02847373 48.44335872 0.41100791 0.02826361 48.82034984 0.40815283 0.02805650 49.19734096 0.40533658 0.02785232 49.57433207 0.40255838 0.02765102 49.95132319 0.39981748 0.02745253 50.32831431 0.39711314 0.02725681 50.70530543 0.39444464 0.02706379 51.08229655 0.39181130 0.02687343 51.45928767 0.38921242 0.02668566 51.83627878 0.38664735 0.02650044 52.33893361 0.38327873 0.02625735 52.71592473 0.38079005 0.02607788 53.09291585 0.37833309 0.02590079 53.46990696 0.37590724 0.02572604 53.97256179 0.37272019 0.02549660 54.34955291 0.37036472 0.02532713 54.72654403 0.36803849 0.02515985 55.22919885 0.36498142 0.02494016 55.60618997 0.36272136 0.02477783 55.98318109 0.36048881 0.02461757 56.48583591 0.35755401 0.02440702 56.86282703 0.35538373 0.02425141 57.36548185 0.35253025 0.02404694 57.74247297 0.35041972 0.02389579 58.24512780 0.34764426 0.02369714 58.62211892 0.34559105 0.02355026 59.12477374 0.34289049 0.02335719 59.62742857 0.34023138 0.02316720 60.00441968 0.33826369 0.02302669 60.50707451 0.33567489 0.02284193 61.00972933 0.33312502 0.02266006 61.38672045 0.33123766 0.02252552 61.88937528 0.32875388 0.02234855 62.39203010 0.32630672 0.02217430 62.89468492 0.32389538 0.02200270 63.39733975 0.32151909 0.02183370 63.89999457 0.31917710 0.02166724 64.40264940 0.31686867 0.02150325 64.77964052 0.31515894 0.02138186 65.28229534 0.31290755 0.02122209 65.78495017 0.31068780 0.02106466 66.41326870 0.30795664 0.02087107 66.91592352 0.30580573 0.02071871 67.41857835 0.30368441 0.02056853 67.92123317 0.30159205 0.02042048 68.42388800 0.29952809 0.02027452 68.92654282 0.29749194 0.02013060 69.42919764 0.29548305 0.01998868 70.05751618 0.29300946 0.01981404 70.56017100 0.29105995 0.01967649 71.06282582 0.28913600 0.01954080 71.69114435 0.28676624 0.01937377 72.19379918 0.28489799 0.01924217 72.82211771 0.28259634 0.01908012 73.32477253 0.28078141 0.01895242 73.95309107 0.27854500 0.01879514 74.45574589 0.27678115 0.01867117 75.08406442 0.27460725 0.01851846 75.58671925 0.27289237 0.01839806 76.21503778 0.27077840 0.01824971 76.84335631 0.26869667 0.01810372 77.34601113 0.26705401 0.01798858 77.97432966 0.26502848 0.01784667 78.60264819 0.26303320 0.01770696 79.23096672 0.26106749 0.01756941 79.85928525 0.25913072 0.01743395 80.36194008 0.25760170 0.01732706 80.99025861 0.25571541 0.01719526 81.61857714 0.25385632 0.01706544 82.24689567 0.25202385 0.01693754 82.87521420 0.25021744 0.01681153 83.62919644 0.24808336 0.01666274 84.25751497 0.24633234 0.01654073 84.88583350 0.24460568 0.01642048 85.51415203 0.24290286 0.01630196 86.14247056 0.24122339 0.01618511 86.89645280 0.23923819 0.01604707 87.52477133 0.23760844 0.01593381 88.15308986 0.23600057 0.01582212 88.90707210 0.23409939 0.01569013 89.53539063 0.23253812 0.01558180 90.28937286 0.23069165 0.01545374 90.91769139 0.22917500 0.01534861 91.67167363 0.22738093 0.01522431 92.42565587 0.22561450 0.01510199 93.05397440 0.22416313 0.01500154 93.80795664 0.22244575 0.01488274 94.56193887 0.22075428 0.01476579 95.19025740 0.21936408 0.01466972 95.94423964 0.21771859 0.01455606 96.69822188 0.21609741 0.01444413 97.45220411 0.21450000 0.01433390 98.20618635 0.21292584 0.01422533 98.96016859 0.21137443 0.01411839 99.71415082 0.20984527 0.01401302 100.46813306 0.20833791 0.01390921 101.34777900 0.20660623 0.01379002 102.10176124 0.20514450 0.01368945 102.85574348 0.20370314 0.01359033 103.60972572 0.20228173 0.01349263 104.48937166 0.20064808 0.01338040 105.24335390 0.19926850 0.01328567 106.12299984 0.19768257 0.01317681 106.87698208 0.19634300 0.01308492 107.75662802 0.19480275 0.01297930 108.51061025 0.19350148 0.01289011 109.39025620 0.19200495 0.01278759 110.26990214 0.19053121 0.01268667 111.14954808 0.18907974 0.01258733 111.90353032 0.18785296 0.01250340 112.78317626 0.18644152 0.01240689 113.66282221 0.18505097 0.01231184 114.54246815 0.18368083 0.01221823 115.42211409 0.18233068 0.01212603 116.30176004 0.18100006 0.01203520 117.18140598 0.17968857 0.01194572 118.18671563 0.17821261 0.01184506 119.06636157 0.17694074 0.01175836 119.94600751 0.17568675 0.01167291 120.95131716 0.17427503 0.01157676 121.83096311 0.17305810 0.01149391 122.83627276 0.17168781 0.01140066 123.71591870 0.17050635 0.01132029 124.72122835 0.16917569 0.01122982 125.60087429 0.16802816 0.01115182 126.60618394 0.16673546 0.01106400 127.61149359 0.16546233 0.01097754 128.61680324 0.16420836 0.01089242 129.62211289 0.16297309 0.01080860 130.62742254 0.16175613 0.01072606 131.63273219 0.16055706 0.01064476 132.63804183 0.15937550 0.01056469 133.64335148 0.15821107 0.01048580 134.64866113 0.15706340 0.01040808 135.65397078 0.15593213 0.01033150 136.78494414 0.15467863 0.01024668 137.79025379 0.15358107 0.01017244 138.92122714 0.15236465 0.01009019 139.92653679 0.15129933 0.01001819 141.05751015 0.15011837 0.00993840 142.06281980 0.14908389 0.00986853 143.19379315 0.14793688 0.00979109 144.32476651 0.14680725 0.00971485 145.45573986 0.14569462 0.00963978 146.58671322 0.14459860 0.00956586 147.71768657 0.14351883 0.00949307 148.84865993 0.14245494 0.00942137 149.97963328 0.14140660 0.00935074 151.11060664 0.14037346 0.00928117 152.24157999 0.13935520 0.00921261 153.49821705 0.13824087 0.00913762 154.62919041 0.13725299 0.00907115 155.88582747 0.13617165 0.00899843 157.01680083 0.13521281 0.00893396 158.27343789 0.13416304 0.00886340 159.53007495 0.13312933 0.00879395 160.66104830 0.13221243 0.00873236 161.91768537 0.13120824 0.00866494 163.17432243 0.13021909 0.00859854 164.43095949 0.12924464 0.00853315 165.68759655 0.12828457 0.00846874 167.06989732 0.12724472 0.00839901 168.32653438 0.12631383 0.00833660 169.58317144 0.12539637 0.00827511 170.96547221 0.12440234 0.00820851 172.22210927 0.12351216 0.00814888 173.60441004 0.12254747 0.00808429 174.86104710 0.12168337 0.00802644 176.24334787 0.12074675 0.00796376 177.62564863 0.11982434 0.00790205 179.00794940 0.11891584 0.00784128 180.39025017 0.11802092 0.00778144 181.77255094 0.11713928 0.00772250 183.15485170 0.11627064 0.00766445 184.66281618 0.11533752 0.00760211 186.04511695 0.11449515 0.00754584 187.42741771 0.11366491 0.00749040 188.93538219 0.11277274 0.00743084 190.31768295 0.11196706 0.00737707 191.82564743 0.11110109 0.00731929 193.33361190 0.11024834 0.00726240 194.84157638 0.10940850 0.00720639 196.34954085 0.10858129 0.00715124 197.85750532 0.10776643 0.00709692 199.36546980 0.10696363 0.00704342 200.87343427 0.10617265 0.00699072 202.50706245 0.10532877 0.00693451 204.01502692 0.10456156 0.00688342 205.64865510 0.10374286 0.00682892 207.15661958 0.10299838 0.00677936 208.79024776 0.10220376 0.00672648 210.42387594 0.10142124 0.00667442 212.05750412 0.10065056 0.00662315 213.69113230 0.09989143 0.00657267 215.32476048 0.09914362 0.00652295 216.95838866 0.09840686 0.00647397 218.59201684 0.09768092 0.00642573 220.35130872 0.09691097 0.00637457 221.98493690 0.09620674 0.00632778 223.74422879 0.09545965 0.00627816 225.50352067 0.09472402 0.00622931 227.26281256 0.09399958 0.00618122 229.02210445 0.09328609 0.00613386 230.78139633 0.09258330 0.00608722 232.54068822 0.09189098 0.00604128 234.29998010 0.09120888 0.00599603 236.18493570 0.09048916 0.00594830 237.94422758 0.08982755 0.00590442 239.82918318 0.08912929 0.00585813 241.71413877 0.08844176 0.00581255 243.47343065 0.08780952 0.00577065 245.35838625 0.08714203 0.00572642 247.24334184 0.08648458 0.00568286 249.25396114 0.08579409 0.00563712 251.13891673 0.08515666 0.00559491