# omega total a= 1 L= 2 0.06283185 0.15524918 0.00707424 0.18849556 0.33291995 0.01764516 0.31415927 0.50084587 0.02756010 0.43982297 0.65936441 0.03697093 0.56548668 0.80811716 0.04575318 0.69115038 0.94633756 0.05372119 0.81681409 1.07360544 0.06086978 0.94247780 1.18983915 0.06729049 1.06814150 1.29515760 0.07307100 1.19380521 1.38985542 0.07828988 1.31946891 1.47436836 0.08301441 1.44513262 1.54922172 0.08729102 1.57079633 1.61499912 0.09114879 1.69646003 1.67232284 0.09460833 1.82212374 1.72183600 0.09768796 1.94778745 1.76418824 0.10040843 2.07345115 1.80002471 0.10279599 2.19911486 1.82997488 0.10488256 2.32477856 1.85464183 0.10670352 2.45044227 1.87459216 0.10829425 2.57610598 1.89034830 0.10968662 2.70176968 1.90238454 0.11090698 2.82743339 1.91112679 0.11197569 2.95309709 1.91695548 0.11290807 3.07876080 1.92020987 0.11371581 3.20442451 1.92119269 0.11440829 3.33008821 1.92017418 0.11499344 3.45575192 1.91739556 0.11547822 3.58141563 1.91307203 0.11586884 3.70707933 1.90739531 0.11617096 3.83274304 1.90053631 0.11638996 3.95840674 1.89264747 0.11653120 4.08407045 1.88386503 0.11660038 4.20973416 1.87431113 0.11660363 4.33539786 1.86409535 0.11654761 4.46106157 1.85331601 0.11643921 4.58672527 1.84206094 0.11628517 4.71238898 1.83040805 0.11609160 4.83805269 1.81842586 0.11586364 4.96371639 1.80617412 0.11560520 5.08938010 1.79370469 0.11531909 5.21504380 1.78106256 0.11500724 5.34070751 1.76828701 0.11467109 5.46637122 1.75541265 0.11431195 5.59203492 1.74247033 0.11393129 5.71769863 1.72948776 0.11353089 5.84336234 1.71648983 0.11311269 5.96902604 1.70349883 0.11267876 6.09468975 1.69053437 0.11223097 6.22035345 1.67761346 0.11177088 6.34601716 1.66475061 0.11129963 6.47168087 1.65195797 0.11081795 6.59734457 1.63924567 0.11032620 6.72300828 1.62662215 0.10982455 6.84867198 1.61409452 0.10931316 6.97433569 1.60166891 0.10879226 7.09999940 1.58935069 0.10826227 7.22566310 1.57714469 0.10772383 7.35132681 1.56505528 0.10717782 7.47699052 1.55308636 0.10662526 7.60265422 1.54124143 0.10606729 7.72831793 1.52952354 0.10550507 7.85398163 1.51793521 0.10493974 7.97964534 1.50647852 0.10437234 8.10530905 1.49515503 0.10380381 8.23097275 1.48396585 0.10323499 8.35663646 1.47291161 0.10266654 8.48230016 1.46199253 0.10209901 8.60796387 1.45120844 0.10153280 8.73362758 1.44055883 0.10096820 8.85929128 1.43004286 0.10040537 8.98495499 1.41965945 0.09984442 9.11061870 1.40940724 0.09928531 9.23628240 1.39928473 0.09872799 9.36194611 1.38929026 0.09817235 9.48760981 1.37942207 0.09761828 9.61327352 1.36967836 0.09706564 9.73893723 1.36005728 0.09651434 9.86460093 1.35055696 0.09596429 9.99026464 1.34117560 0.09541545 10.11592834 1.33191137 0.09486780 10.24159205 1.32276253 0.09432139 10.36725576 1.31372732 0.09377629 10.49291946 1.30480410 0.09323261 10.61858317 1.29599118 0.09269048 10.74424688 1.28728699 0.09215006 10.86991058 1.27868994 0.09161154 10.99557429 1.27019848 0.09107511 11.12123799 1.26181109 0.09054095 11.24690170 1.25352625 0.09000928 11.37256541 1.24534248 0.08948028 11.49822911 1.23725830 0.08895415 11.62389282 1.22927223 0.08843106 11.74955652 1.22138281 0.08791117 11.87522023 1.21358860 0.08739464 12.00088394 1.20588813 0.08688160 12.12654764 1.19827997 0.08637216 12.25221135 1.19076267 0.08586641 12.37787506 1.18333480 0.08536443 12.50353876 1.17599494 0.08486629 12.62920247 1.16874165 0.08437203 12.75486617 1.16157354 0.08388168 12.88052988 1.15448919 0.08339525 13.00619359 1.14748723 0.08291274 13.13185729 1.14056630 0.08243416 13.25752100 1.13372504 0.08195950 13.38318470 1.12696210 0.08148872 13.50884841 1.12027619 0.08102180 13.63451212 1.11366603 0.08055874 13.76017582 1.10713033 0.08009948 13.88583953 1.10066788 0.07964401 14.01150324 1.09427744 0.07919231 14.13716694 1.08795783 0.07874432 14.26283065 1.08170788 0.07830003 14.38849435 1.07552644 0.07785940 14.51415806 1.06941242 0.07742243 14.63982177 1.06336471 0.07698907 14.76548547 1.05738224 0.07655929 14.89114918 1.05146398 0.07613310 15.01681288 1.04560890 0.07571045 15.14247659 1.03981600 0.07529133 15.26814030 1.03408431 0.07487571 15.39380400 1.02841287 0.07446359 15.51946771 1.02280074 0.07405493 15.64513141 1.01724702 0.07364973 15.77079512 1.01175080 0.07324797 15.89645883 1.00631121 0.07284961 16.02212253 1.00092738 0.07245466 16.14778624 0.99559849 0.07206309 16.27344995 0.99032370 0.07167487 16.39911365 0.98510219 0.07128999 16.52477736 0.97993320 0.07090843 16.65044106 0.97481592 0.07053016 16.77610477 0.96974960 0.07015517 16.90176848 0.96473350 0.06978344 17.02743218 0.95976688 0.06941493 17.15309589 0.95484901 0.06904962 17.27875959 0.94997921 0.06868749 17.40442330 0.94515676 0.06832852 17.53008701 0.94038100 0.06797267 17.65575071 0.93565126 0.06761991 17.78141442 0.93096687 0.06727023 17.90707813 0.92632720 0.06692359 18.03274183 0.92173162 0.06657997 18.15840554 0.91717950 0.06623933 18.28406924 0.91267024 0.06590164 18.40973295 0.90820324 0.06556688 18.53539666 0.90377791 0.06523501 18.66106036 0.89939367 0.06490600 18.78672407 0.89504996 0.06457983 18.91238777 0.89074621 0.06425644 19.03805148 0.88648189 0.06393583 19.16371519 0.88225645 0.06361795 19.28937889 0.87806935 0.06330277 19.41504260 0.87392010 0.06299026 19.54070631 0.86980816 0.06268038 19.66637001 0.86573303 0.06237310 19.79203372 0.86169423 0.06206839 19.91769742 0.85769126 0.06176621 20.04336113 0.85372365 0.06146653 20.16902484 0.84979092 0.06116932 20.29468854 0.84589263 0.06087455 20.42035225 0.84202831 0.06058218 20.54601595 0.83819752 0.06029218 20.67167966 0.83439982 0.06000451 20.79734337 0.83063478 0.05971916 20.92300707 0.82690198 0.05943608 21.04867078 0.82320101 0.05915525 21.17433449 0.81953145 0.05887664 21.29999819 0.81589292 0.05860023 21.42566190 0.81228502 0.05832598 21.55132560 0.80870736 0.05805387 21.67698931 0.80515957 0.05778387 21.80265302 0.80164128 0.05751597 21.92831672 0.79815212 0.05725013 22.05398043 0.79469175 0.05698634 22.17964413 0.79125980 0.05672458 22.30530784 0.78785595 0.05646482 22.43097155 0.78447986 0.05620706 22.55663525 0.78113119 0.05595127 22.68229896 0.77780962 0.05569743 22.80796267 0.77451484 0.05544554 22.93362637 0.77124654 0.05519557 23.05929008 0.76800441 0.05494752 23.18495378 0.76478815 0.05470136 23.31061749 0.76159747 0.05445710 23.43628120 0.75843208 0.05421471 23.56194490 0.75529170 0.05397419 23.68760861 0.75217604 0.05373552 23.81327231 0.74908483 0.05349870 23.93893602 0.74601780 0.05326372 24.06459973 0.74297469 0.05303055 24.19026343 0.73995522 0.05279920 24.31592714 0.73695916 0.05256966 24.44159084 0.73398623 0.05234190 24.56725455 0.73103619 0.05211593 24.69291826 0.72810879 0.05189173 24.81858196 0.72520379 0.05166929 24.94424567 0.72232093 0.05144860 25.06990938 0.71946000 0.05122965 25.19557308 0.71662075 0.05101243 25.44690049 0.71100637 0.05058311 25.57256420 0.70823079 0.05037099 25.82389161 0.70274170 0.04995175 25.94955532 0.70002776 0.04974461 26.20088273 0.69466001 0.04933522 26.32654644 0.69200578 0.04913293 26.57787385 0.68675555 0.04873311 26.82920126 0.68158162 0.04833951 26.95486497 0.67902276 0.04814501 27.20619238 0.67396027 0.04776051 27.45751979 0.66897016 0.04738192 27.58318350 0.66650177 0.04719479 27.83451091 0.66161740 0.04682482 28.08583832 0.65680172 0.04646042 28.21150203 0.65441920 0.04628028 28.46282944 0.64970391 0.04592402 28.71415685 0.64505385 0.04557304 28.96548427 0.64046771 0.04522720 29.09114797 0.63819820 0.04505617 29.34247538 0.63370552 0.04471784 29.59380280 0.62927360 0.04438437 29.84513021 0.62490124 0.04405564 30.09645762 0.62058727 0.04373156 30.34778503 0.61633055 0.04341203 30.47344874 0.61422331 0.04325394 30.72477615 0.61005040 0.04294103 30.97610356 0.60593201 0.04263243 31.22743098 0.60186711 0.04232804 31.47875839 0.59785469 0.04202778 31.73008580 0.59389376 0.04173155 31.98141321 0.58998336 0.04143928 32.23274063 0.58612254 0.04115089 32.48406804 0.58231041 0.04086630 32.73539545 0.57854605 0.04058544 32.98672286 0.57482861 0.04030824 33.23805027 0.57115723 0.04003461 33.48937769 0.56753109 0.03976451 33.74070510 0.56394937 0.03949786 33.99203251 0.56041128 0.03923459 34.24335992 0.55691606 0.03897465 34.49468734 0.55346295 0.03871797 34.74601475 0.55005121 0.03846450 34.99734216 0.54668012 0.03821418 35.37433328 0.54169818 0.03784447 35.62566069 0.53842569 0.03760177 35.87698810 0.53519146 0.03736203 36.12831552 0.53199484 0.03712519 36.37964293 0.52883519 0.03689121 36.75663405 0.52416371 0.03654547 37.00796146 0.52109382 0.03631841 37.25928887 0.51805879 0.03609404 37.51061628 0.51505806 0.03587231 37.88760740 0.51062001 0.03554456 38.13893481 0.50770255 0.03532924 38.39026223 0.50481746 0.03511641 38.76725335 0.50054939 0.03480173 39.01858076 0.49774296 0.03459495 39.39557188 0.49359052 0.03428916 39.64689929 0.49085966 0.03408817 39.89822670 0.48815819 0.03388944 40.27521782 0.48416010 0.03359550 40.52654523 0.48153012 0.03340225 40.90353635 0.47763718 0.03311636 41.15486376 0.47507596 0.03292837 41.53185488 0.47128418 0.03265023 41.78318229 0.46878911 0.03246730 42.16017341 0.46509468 0.03219660 42.53716453 0.46145691 0.03193022 42.78849194 0.45906258 0.03175499 43.16548306 0.45551645 0.03149561 43.41681047 0.45318208 0.03132495 43.79380159 0.44972424 0.03107230 44.17079271 0.44631783 0.03082356 44.54778383 0.44296174 0.03057866 44.79911124 0.44075176 0.03041748 45.17610236 0.43747714 0.03017877 45.55309348 0.43425000 0.02994366 45.93008460 0.43106935 0.02971209 46.18141201 0.42897425 0.02955964 46.55840313 0.42586891 0.02933378 46.93539424 0.42280750 0.02911125 47.31238536 0.41978912 0.02889198 47.68937648 0.41681287 0.02867591 48.06636760 0.41387790 0.02846295 48.44335872 0.41098337 0.02825306 48.82034984 0.40812846 0.02804615 49.19734096 0.40531238 0.02784218 49.57433207 0.40253435 0.02764108 49.95132319 0.39979362 0.02744280 50.32831431 0.39708946 0.02724727 50.70530543 0.39442114 0.02705444 51.08229655 0.39178797 0.02686425 51.45928767 0.38918927 0.02667666 51.83627878 0.38662438 0.02649161 52.33893361 0.38325599 0.02624875 52.71592473 0.38076750 0.02606944 53.09291585 0.37831071 0.02589251 53.46990696 0.37588505 0.02571791 53.97256179 0.37269824 0.02548867 54.34955291 0.37034295 0.02531935 54.72654403 0.36801690 0.02515221 55.22919885 0.36496007 0.02493270 55.60618997 0.36270019 0.02477051 55.98318109 0.36046781 0.02461038 56.48583591 0.35753325 0.02440000 56.86282703 0.35536315 0.02424451 57.36548185 0.35250991 0.02404020 57.74247297 0.35039955 0.02388916 58.24512780 0.34762432 0.02369066 58.62211892 0.34557128 0.02354390 59.12477374 0.34287095 0.02335097 59.62742857 0.34021207 0.02316112 60.00441968 0.33824455 0.02302071 60.50707451 0.33565597 0.02283608 61.00972933 0.33310633 0.02265434 61.38672045 0.33121913 0.02251988 61.88937528 0.32873557 0.02234304 62.39203010 0.32628862 0.02216891 62.89468492 0.32387750 0.02199742 63.39733975 0.32150142 0.02182853 63.89999457 0.31915964 0.02166217 64.40264940 0.31685141 0.02149830 64.77964052 0.31514184 0.02137698 65.28229534 0.31289065 0.02121731 65.78495017 0.31067111 0.02105997 66.41326870 0.30794019 0.02086650 66.91592352 0.30578948 0.02071423 67.41857835 0.30366834 0.02056414 67.92123317 0.30157618 0.02041617 68.42388800 0.29951240 0.02027029 68.92654282 0.29747644 0.02012646 69.42919764 0.29546774 0.01998462 70.05751618 0.29299437 0.01981008 70.56017100 0.29104504 0.01967259 71.06282582 0.28912127 0.01953698 71.69114435 0.28675172 0.01937004 72.19379918 0.28488364 0.01923850 72.82211771 0.28258221 0.01907654 73.32477253 0.28076744 0.01894890 73.95309107 0.27853124 0.01879170 74.45574589 0.27676755 0.01866779 75.08406442 0.27459385 0.01851515 75.58671925 0.27287912 0.01839481 76.21503778 0.27076534 0.01824653 76.84335631 0.26868380 0.01810061 77.34601113 0.26704129 0.01798552 77.97432966 0.26501594 0.01784368 78.60264819 0.26302084 0.01770403 79.23096672 0.26105532 0.01756653 79.85928525 0.25911871 0.01743113 80.36194008 0.25758983 0.01732429 80.99025861 0.25570371 0.01719255 81.61857714 0.25384479 0.01706278 82.24689567 0.25201249 0.01693493 82.87521420 0.25020623 0.01680897 83.62919644 0.24807234 0.01666025 84.25751497 0.24632149 0.01653829 84.88583350 0.24459497 0.01641808 85.51415203 0.24289230 0.01629960 86.14247056 0.24121298 0.01618280 86.89645280 0.23922795 0.01604481 87.52477133 0.23759835 0.01593159 88.15308986 0.23599062 0.01581994 88.90707210 0.23408960 0.01568800 89.53539063 0.23252847 0.01557970 90.28937286 0.23068216 0.01545169 90.91769139 0.22916564 0.01534659 91.67167363 0.22737172 0.01522234 92.42565587 0.22560544 0.01510006 93.05397440 0.22415419 0.01499964 93.80795664 0.22243696 0.01488088 94.56193887 0.22074563 0.01476397 95.19025740 0.21935555 0.01466792 95.94423964 0.21771020 0.01455430 96.69822188 0.21608915 0.01444241 97.45220411 0.21449187 0.01433221 98.20618635 0.21291784 0.01422368 98.96016859 0.21136655 0.01411676 99.71415082 0.20983752 0.01401143 100.46813306 0.20833028 0.01390765 101.34777900 0.20659874 0.01378848 102.10176124 0.20513713 0.01368795 102.85574348 0.20369588 0.01358886 103.60972572 0.20227458 0.01349118 104.48937166 0.20064106 0.01337898 105.24335390 0.19926159 0.01328427 106.12299984 0.19767579 0.01317545 106.87698208 0.19633632 0.01308357 107.75662802 0.19479618 0.01297798 108.51061025 0.19349501 0.01288882 109.39025620 0.19199860 0.01278632 110.26990214 0.19052497 0.01268543 111.14954808 0.18907360 0.01258611 111.90353032 0.18784692 0.01250220 112.78317626 0.18643559 0.01240571 113.66282221 0.18504513 0.01231068 114.54246815 0.18367510 0.01221710 115.42211409 0.18232504 0.01212491 116.30176004 0.18099452 0.01203411 117.18140598 0.17968312 0.01194464 118.18671563 0.17820727 0.01184401 119.06636157 0.17693549 0.01175732 119.94600751 0.17568158 0.01167189 120.95131716 0.17426996 0.01157576 121.83096311 0.17305312 0.01149293 122.83627276 0.17168292 0.01139970 123.71591870 0.17050154 0.01131935 124.72122835 0.16917097 0.01122889 125.60087429 0.16802352 0.01115091 126.60618394 0.16673090 0.01106310 127.61149359 0.16545786 0.01097666 128.61680324 0.16420396 0.01089156 129.62211289 0.16296878 0.01080775 130.62742254 0.16175189 0.01072523 131.63273219 0.16055290 0.01064395 132.63804183 0.15937142 0.01056388 133.64335148 0.15820706 0.01048501 134.64866113 0.15705946 0.01040731 135.65397078 0.15592826 0.01033074 136.78494414 0.15467483 0.01024593 137.79025379 0.15357734 0.01017171 138.92122714 0.15236100 0.01008947 139.92653679 0.15129574 0.01001748 141.05751015 0.15011485 0.00993770 142.06281980 0.14908043 0.00986784 143.19379315 0.14793349 0.00979041 144.32476651 0.14680392 0.00971418 145.45573986 0.14569135 0.00963913 146.58671322 0.14459540 0.00956523 147.71768657 0.14351568 0.00949244 148.84865993 0.14245186 0.00942075 149.97963328 0.14140357 0.00935014 151.11060664 0.14037049 0.00928057 152.24157999 0.13935228 0.00921202 153.49821705 0.13823801 0.00913704 154.62919041 0.13725018 0.00907058 155.88582747 0.13616890 0.00899787 157.01680083 0.13521012 0.00893341 158.27343789 0.13416040 0.00886286 159.53007495 0.13312674 0.00879342 160.66104830 0.13220988 0.00873184 161.91768537 0.13120574 0.00866442 163.17432243 0.13021664 0.00859803 164.43095949 0.12924224 0.00853265 165.68759655 0.12828221 0.00846825 167.06989732 0.12724242 0.00839853 168.32653438 0.12631157 0.00833613 169.58317144 0.12539415 0.00827464 170.96547221 0.12440016 0.00820805 172.22210927 0.12351003 0.00814843 173.60441004 0.12254538 0.00808384 174.86104710 0.12168132 0.00802600 176.24334787 0.12074474 0.00796333 177.62564863 0.11982238 0.00790162 179.00794940 0.11891391 0.00784086 180.39025017 0.11801903 0.00778103 181.77255094 0.11713743 0.00772210 183.15485170 0.11626883 0.00766405 184.66281618 0.11533575 0.00760172 186.04511695 0.11449340 0.00754546 187.42741771 0.11366320 0.00749002 188.93538219 0.11277107 0.00743047 190.31768295 0.11196542 0.00737670 191.82564743 0.11109949 0.00731892 193.33361190 0.11024677 0.00726204 194.84157638 0.10940696 0.00720604 196.34954085 0.10857978 0.00715089 197.85750532 0.10776495 0.00709658 199.36546980 0.10696218 0.00704309 200.87343427 0.10617123 0.00699039 202.50706245 0.10532738 0.00693419 204.01502692 0.10456020 0.00688310 205.64865510 0.10374153 0.00682860 207.15661958 0.10299707 0.00677905 208.79024776 0.10220248 0.00672617 210.42387594 0.10141999 0.00667411 212.05750412 0.10064933 0.00662285 213.69113230 0.09989023 0.00657237 215.32476048 0.09914244 0.00652266 216.95838866 0.09840571 0.00647369 218.59201684 0.09767979 0.00642544 220.35130872 0.09690986 0.00637429 221.98493690 0.09620566 0.00632751 223.74422879 0.09545859 0.00627789 225.50352067 0.09472298 0.00622905 227.26281256 0.09399857 0.00618095 229.02210445 0.09328510 0.00613360 230.78139633 0.09258233 0.00608696 232.54068822 0.09189002 0.00604103 234.29998010 0.09120795 0.00599578 236.18493570 0.09048825 0.00594805 237.94422758 0.08982666 0.00590418 239.82918318 0.08912842 0.00585789 241.71413877 0.08844090 0.00581232 243.47343065 0.08780868 0.00577042 245.35838625 0.08714121 0.00572619 247.24334184 0.08648377 0.00568263 249.25396114 0.08579331 0.00563690 251.13891673 0.08515589 0.00559468