# omega total a= 1 L= 2 0.06283185 0.15055644 0.00654858 0.18849556 0.32687428 0.01703389 0.31415927 0.49413527 0.02710768 0.43982297 0.65194070 0.03660327 0.56548668 0.80000141 0.04542934 0.69115038 0.93781902 0.05354601 0.81681409 1.06499701 0.06094974 0.94247780 1.18133426 0.06765360 1.06814150 1.28683885 0.07367888 1.19380521 1.38171638 0.07905607 1.31946891 1.46634798 0.08382962 1.44513262 1.54125633 0.08805801 1.57079633 1.60706162 0.09180701 1.69646003 1.66443525 0.09513978 1.82212374 1.71406104 0.09810916 1.94778745 1.75660921 0.10075529 2.07345115 1.79272401 0.10310887 2.19911486 1.82301958 0.10519655 2.32477856 1.84807831 0.10704483 2.45044227 1.86844686 0.10868020 2.57610598 1.88463000 0.11012622 2.70176968 1.89708523 0.11140030 2.82743339 1.90622152 0.11251275 2.95309709 1.91240341 0.11346902 3.07876080 1.91595907 0.11427415 3.20442451 1.91718857 0.11493677 3.33008821 1.91636911 0.11547067 3.45575192 1.91375612 0.11589335 3.58141563 1.90958143 0.11622279 3.70707933 1.90405119 0.11647427 3.83274304 1.89734555 0.11665889 3.95840674 1.88962060 0.11678360 4.08407045 1.88101177 0.11685250 4.20973416 1.87163759 0.11686833 4.33539786 1.86160278 0.11683346 4.46106157 1.85100056 0.11675048 4.58672527 1.83991408 0.11662216 4.71238898 1.82841746 0.11645141 4.83805269 1.81657674 0.11624114 4.96371639 1.80445079 0.11599428 5.08938010 1.79209216 0.11571378 5.21504380 1.77954774 0.11540260 5.34070751 1.76685933 0.11506369 5.46637122 1.75406411 0.11469988 5.59203492 1.74119500 0.11431381 5.71769863 1.72828107 0.11390791 5.84336234 1.71534788 0.11348436 5.96902604 1.70241781 0.11304509 6.09468975 1.68951039 0.11259174 6.22035345 1.67664249 0.11212565 6.34601716 1.66382866 0.11164790 6.47168087 1.65108139 0.11115936 6.59734457 1.63841136 0.11066070 6.72300828 1.62582780 0.11015260 6.84867198 1.61333870 0.10963570 6.97433569 1.60095101 0.10911071 7.09999940 1.58867079 0.10857842 7.22566310 1.57650329 0.10803961 7.35132681 1.56445298 0.10749509 7.47699052 1.55252358 0.10694558 7.60265422 1.54071810 0.10639171 7.72831793 1.52903888 0.10583402 7.85398163 1.51748763 0.10527291 7.97964534 1.50606558 0.10470874 8.10530905 1.49477352 0.10414183 8.23097275 1.48361190 0.10357248 8.35663646 1.47258091 0.10300100 8.48230016 1.46168056 0.10242777 8.60796387 1.45091067 0.10185320 8.73362758 1.44027095 0.10127771 8.85929128 1.42976094 0.10070176 8.98495499 1.41938009 0.10012583 9.11061870 1.40912764 0.09955033 9.23628240 1.39900275 0.09897568 9.36194611 1.38900437 0.09840219 9.48760981 1.37913134 0.09783018 9.61327352 1.36938236 0.09725987 9.73893723 1.35975602 0.09669144 9.86460093 1.35025079 0.09612504 9.99026464 1.34086510 0.09556078 10.11592834 1.33159733 0.09499875 10.24159205 1.32244581 0.09443906 10.36725576 1.31340889 0.09388180 10.49291946 1.30448487 0.09332705 10.61858317 1.29567212 0.09277494 10.74424688 1.28696900 0.09222557 10.86991058 1.27837387 0.09167909 10.99557429 1.26988514 0.09113562 11.12123799 1.26150122 0.09059530 11.24690170 1.25322053 0.09005827 11.37256541 1.24504151 0.08952467 11.49822911 1.23696261 0.08899460 11.62389282 1.22898228 0.08846818 11.74955652 1.22109899 0.08794552 11.87522023 1.21331120 0.08742669 12.00088394 1.20561739 0.08691176 12.12654764 1.19801604 0.08640079 12.25221135 1.19050566 0.08589382 12.37787506 1.18308477 0.08539089 12.50353876 1.17575186 0.08489200 12.62920247 1.16850548 0.08439715 12.75486617 1.16134419 0.08390636 12.88052988 1.15426658 0.08341962 13.00619359 1.14727122 0.08293689 13.13185729 1.14035675 0.08245817 13.25752100 1.13352180 0.08198343 13.38318470 1.12676503 0.08151263 13.50884841 1.12008512 0.08104575 13.63451212 1.11348080 0.08058275 13.76017582 1.10695080 0.08012360 13.88583953 1.10049387 0.07966826 14.01150324 1.09410880 0.07921670 14.13716694 1.08779441 0.07876889 14.26283065 1.08154953 0.07832479 14.38849435 1.07537304 0.07788438 14.51415806 1.06926380 0.07744762 14.63982177 1.06322076 0.07701449 14.76548547 1.05724282 0.07658495 14.89114918 1.05132896 0.07615899 15.01681288 1.04547817 0.07573659 15.14247659 1.03968946 0.07531774 15.26814030 1.03396185 0.07490239 15.39380400 1.02829440 0.07449054 15.51946771 1.02268619 0.07408218 15.64513141 1.01713629 0.07367727 15.77079512 1.01164382 0.07327580 15.89645883 1.00620791 0.07287776 16.02212253 1.00082770 0.07248312 16.14778624 0.99550235 0.07209186 16.27344995 0.99023105 0.07170397 16.39911365 0.98501297 0.07131942 16.52477736 0.97984734 0.07093818 16.65044106 0.97473336 0.07056023 16.77610477 0.96967028 0.07018555 16.90176848 0.96465734 0.06981410 17.02743218 0.95969382 0.06944587 17.15309589 0.95477897 0.06908082 17.27875959 0.94991210 0.06871891 17.40442330 0.94509250 0.06836013 17.53008701 0.94031950 0.06800444 17.65575071 0.93559242 0.06765181 17.78141442 0.93091059 0.06730221 17.90707813 0.92627337 0.06695561 18.03274183 0.92168014 0.06661197 18.15840554 0.91713025 0.06627127 18.28406924 0.91262311 0.06593346 18.40973295 0.90815811 0.06559853 18.53539666 0.90373466 0.06526644 18.66106036 0.89935219 0.06493715 18.78672407 0.89501012 0.06461065 18.91238777 0.89070792 0.06428689 19.03805148 0.88644503 0.06396586 19.16371519 0.88222092 0.06364751 19.28937889 0.87803506 0.06333183 19.41504260 0.87388694 0.06301879 19.54070631 0.86977606 0.06270835 19.66637001 0.86570191 0.06240049 19.79203372 0.86166403 0.06209519 19.91769742 0.85766192 0.06179241 20.04336113 0.85369511 0.06149212 20.16902484 0.84976316 0.06119431 20.29468854 0.84586559 0.06089894 20.42035225 0.84200198 0.06060600 20.54601595 0.83817188 0.06031544 20.67167966 0.83437485 0.06002725 20.79734337 0.83061048 0.05974139 20.92300707 0.82687836 0.05945785 21.04867078 0.82317806 0.05917658 21.17433449 0.81950919 0.05889758 21.29999819 0.81587136 0.05862081 21.42566190 0.81226416 0.05834623 21.55132560 0.80868723 0.05807385 21.67698931 0.80514019 0.05780361 21.80265302 0.80162265 0.05753550 21.92831672 0.79813426 0.05726950 22.05398043 0.79467467 0.05700557 22.17964413 0.79124352 0.05674371 22.30530784 0.78784048 0.05648388 22.43097155 0.78446519 0.05622607 22.55663525 0.78111734 0.05597025 22.68229896 0.77779659 0.05571641 22.80796267 0.77450263 0.05546452 22.93362637 0.77123514 0.05521457 23.05929008 0.76799381 0.05496655 23.18495378 0.76477834 0.05472043 23.31061749 0.76158844 0.05447620 23.43628120 0.75842381 0.05423385 23.56194490 0.75528416 0.05399336 23.68760861 0.75216922 0.05375472 23.81327231 0.74907872 0.05351792 23.93893602 0.74601236 0.05328294 24.06459973 0.74296989 0.05304978 24.19026343 0.73995106 0.05281842 24.31592714 0.73695558 0.05258885 24.44159084 0.73398322 0.05236105 24.56725455 0.73103371 0.05213503 24.69291826 0.72810682 0.05191077 24.81858196 0.72520230 0.05168824 24.94424567 0.72231990 0.05146746 25.06990938 0.71945940 0.05124840 25.19557308 0.71662055 0.05103105 25.44690049 0.71100689 0.05060144 25.57256420 0.70823163 0.05038916 25.82389161 0.70274314 0.04996957 25.94955532 0.70002946 0.04976224 26.20088273 0.69466219 0.04935244 26.32654644 0.69200817 0.04914995 26.57787385 0.68675833 0.04874969 26.82920126 0.68158472 0.04835564 26.95486497 0.67902602 0.04816091 27.20619238 0.67396381 0.04777595 27.45751979 0.66897395 0.04739691 27.58318350 0.66650567 0.04720956 27.83451091 0.66162153 0.04683914 28.08583832 0.65680604 0.04647432 28.21150203 0.65442362 0.04629397 28.46282944 0.64970852 0.04593730 28.71415685 0.64505864 0.04558593 28.96548427 0.64047267 0.04523971 29.09114797 0.63820325 0.04506851 29.34247538 0.63371073 0.04472983 29.59380280 0.62927899 0.04439603 29.84513021 0.62490680 0.04406700 30.09645762 0.62059299 0.04374263 30.34778503 0.61633643 0.04342283 30.47344874 0.61422928 0.04326460 30.72477615 0.61005652 0.04295144 30.97610356 0.60593829 0.04264260 31.22743098 0.60187354 0.04233799 31.47875839 0.59786127 0.04203751 31.73008580 0.59390049 0.04174108 31.98141321 0.58999023 0.04144862 32.23274063 0.58612955 0.04116004 32.48406804 0.58231755 0.04087527 32.73539545 0.57855332 0.04059424 32.98672286 0.57483600 0.04031687 33.23805027 0.57116474 0.04004310 33.48937769 0.56753870 0.03977284 33.74070510 0.56395709 0.03950604 33.99203251 0.56041910 0.03924264 34.24335992 0.55692398 0.03898256 34.49468734 0.55347095 0.03872575 34.74601475 0.55005930 0.03847215 34.99734216 0.54668829 0.03822170 35.37433328 0.54170646 0.03785181 35.62566069 0.53843403 0.03760899 35.87698810 0.53519986 0.03736913 36.12831552 0.53200329 0.03713218 36.37964293 0.52884370 0.03689809 36.75663405 0.52417228 0.03655220 37.00796146 0.52110243 0.03632503 37.25928887 0.51806744 0.03610056 37.51061628 0.51506674 0.03587872 37.88760740 0.51062873 0.03555083 38.13893481 0.50771130 0.03533542 38.39026223 0.50482623 0.03512249 38.76725335 0.50055817 0.03480768 39.01858076 0.49775176 0.03460081 39.39557188 0.49359933 0.03429489 39.64689929 0.49086847 0.03409382 39.89822670 0.48816701 0.03389501 40.27521782 0.48416891 0.03360094 40.52654523 0.48153893 0.03340761 40.90353635 0.47764599 0.03312161 41.15486376 0.47508475 0.03293354 41.53185488 0.47129295 0.03265529 41.78318229 0.46879787 0.03247229 42.16017341 0.46510342 0.03220148 42.53716453 0.46146562 0.03193500 42.78849194 0.45907127 0.03175970 43.16548306 0.45552511 0.03150022 43.41681047 0.45319072 0.03132950 43.79380159 0.44973284 0.03107675 44.17079271 0.44632639 0.03082793 44.54778383 0.44297026 0.03058293 44.79911124 0.44076026 0.03042169 45.17610236 0.43748558 0.03018290 45.55309348 0.43425840 0.02994771 45.93008460 0.43107770 0.02971606 46.18141201 0.42898257 0.02956355 46.55840313 0.42587718 0.02933761 46.93539424 0.42281572 0.02911501 47.31238536 0.41979728 0.02889567 47.68937648 0.41682099 0.02867952 48.06636760 0.41388596 0.02846649 48.44335872 0.41099138 0.02825653 48.82034984 0.40813641 0.02804956 49.19734096 0.40532027 0.02784552 49.57433207 0.40254219 0.02764436 49.95132319 0.39980140 0.02744601 50.32831431 0.39709718 0.02725042 50.70530543 0.39442880 0.02705753 51.08229655 0.39179557 0.02686729 51.45928767 0.38919682 0.02667965 51.83627878 0.38663187 0.02649454 52.33893361 0.38326340 0.02625161 52.71592473 0.38077485 0.02607225 53.09291585 0.37831801 0.02589526 53.46990696 0.37589228 0.02572062 53.97256179 0.37270539 0.02549131 54.34955291 0.37035005 0.02532194 54.72654403 0.36802394 0.02515476 55.22919885 0.36496703 0.02493519 55.60618997 0.36270709 0.02477296 55.98318109 0.36047466 0.02461278 56.48583591 0.35754002 0.02440235 56.86282703 0.35536986 0.02424682 57.36548185 0.35251654 0.02404246 57.74247297 0.35040613 0.02389139 58.24512780 0.34763082 0.02369284 58.62211892 0.34557773 0.02354603 59.12477374 0.34287733 0.02335306 59.62742857 0.34021837 0.02316316 60.00441968 0.33825080 0.02302272 60.50707451 0.33566215 0.02283805 61.00972933 0.33311243 0.02265626 61.38672045 0.33122518 0.02252178 61.88937528 0.32874155 0.02234490 62.39203010 0.32629454 0.02217073 62.89468492 0.32388334 0.02199921 63.39733975 0.32150720 0.02183028 63.89999457 0.31916535 0.02166388 64.40264940 0.31685706 0.02149997 64.77964052 0.31514743 0.02137863 65.28229534 0.31289618 0.02121892 65.78495017 0.31067657 0.02106155 66.41326870 0.30794557 0.02086805 66.91592352 0.30579480 0.02071575 67.41857835 0.30367360 0.02056562 67.92123317 0.30158138 0.02041763 68.42388800 0.29951754 0.02027172 68.92654282 0.29748152 0.02012786 69.42919764 0.29547276 0.01998600 70.05751618 0.29299932 0.01981142 70.56017100 0.29104993 0.01967391 71.06282582 0.28912610 0.01953828 71.69114435 0.28675648 0.01937131 72.19379918 0.28488835 0.01923975 72.82211771 0.28258685 0.01907776 73.32477253 0.28077203 0.01895010 73.95309107 0.27853576 0.01879287 74.45574589 0.27677202 0.01866894 75.08406442 0.27459825 0.01851628 75.58671925 0.27288347 0.01839591 76.21503778 0.27076964 0.01824762 76.84335631 0.26868804 0.01810167 77.34601113 0.26704547 0.01798656 77.97432966 0.26502007 0.01784470 78.60264819 0.26302491 0.01770503 79.23096672 0.26105933 0.01756751 79.85928525 0.25912267 0.01743209 80.36194008 0.25759374 0.01732523 80.99025861 0.25570756 0.01719347 81.61857714 0.25384859 0.01706368 82.24689567 0.25201623 0.01693582 82.87521420 0.25020993 0.01680984 83.62919644 0.24807598 0.01666110 84.25751497 0.24632507 0.01653912 84.88583350 0.24459851 0.01641890 85.51415203 0.24289579 0.01630040 86.14247056 0.24121642 0.01618359 86.89645280 0.23923133 0.01604558 87.52477133 0.23760168 0.01593235 88.15308986 0.23599391 0.01582069 88.90707210 0.23409284 0.01568872 89.53539063 0.23253166 0.01558041 90.28937286 0.23068530 0.01545238 90.91769139 0.22916874 0.01534728 91.67167363 0.22737477 0.01522301 92.42565587 0.22560844 0.01510072 93.05397440 0.22415715 0.01500029 93.80795664 0.22243987 0.01488151 94.56193887 0.22074849 0.01476459 95.19025740 0.21935837 0.01466853 95.94423964 0.21771298 0.01455490 96.69822188 0.21609189 0.01444299 97.45220411 0.21449457 0.01433279 98.20618635 0.21292049 0.01422424 98.96016859 0.21136916 0.01411731 99.71415082 0.20984010 0.01401197 100.46813306 0.20833281 0.01390818 101.34777900 0.20660123 0.01378900 102.10176124 0.20513958 0.01368846 102.85574348 0.20369830 0.01358936 103.60972572 0.20227696 0.01349168 104.48937166 0.20064340 0.01337946 105.24335390 0.19926389 0.01328474 106.12299984 0.19767805 0.01317591 106.87698208 0.19633854 0.01308403 107.75662802 0.19479837 0.01297843 108.51061025 0.19349717 0.01288926 109.39025620 0.19200072 0.01278675 110.26990214 0.19052705 0.01268585 111.14954808 0.18907565 0.01258652 111.90353032 0.18784893 0.01250261 112.78317626 0.18643757 0.01240611 113.66282221 0.18504708 0.01231107 114.54246815 0.18367701 0.01221748 115.42211409 0.18232692 0.01212529 116.30176004 0.18099637 0.01203448 117.18140598 0.17968494 0.01194501 118.18671563 0.17820905 0.01184436 119.06636157 0.17693724 0.01175767 119.94600751 0.17568331 0.01167224 120.95131716 0.17427165 0.01157610 121.83096311 0.17305479 0.01149326 122.83627276 0.17168456 0.01140002 123.71591870 0.17050314 0.01131967 124.72122835 0.16917255 0.01122920 125.60087429 0.16802507 0.01115122 126.60618394 0.16673242 0.01106340 127.61149359 0.16545936 0.01097696 128.61680324 0.16420543 0.01089185 129.62211289 0.16297022 0.01080804 130.62742254 0.16175331 0.01072551 131.63273219 0.16055429 0.01064422 132.63804183 0.15937278 0.01056415 133.64335148 0.15820840 0.01048528 134.64866113 0.15706078 0.01040757 135.65397078 0.15592956 0.01033100 136.78494414 0.15467611 0.01024618 137.79025379 0.15357859 0.01017195 138.92122714 0.15236222 0.01008971 139.92653679 0.15129694 0.01001771 141.05751015 0.15011603 0.00993793 142.06281980 0.14908159 0.00986807 143.19379315 0.14793462 0.00979064 144.32476651 0.14680504 0.00971441 145.45573986 0.14569245 0.00963935 146.58671322 0.14459647 0.00956544 147.71768657 0.14351674 0.00949265 148.84865993 0.14245289 0.00942096 149.97963328 0.14140459 0.00935034 151.11060664 0.14037149 0.00928077 152.24157999 0.13935326 0.00921222 153.49821705 0.13823897 0.00913723 154.62919041 0.13725112 0.00907077 155.88582747 0.13616983 0.00899805 157.01680083 0.13521102 0.00893359 158.27343789 0.13416129 0.00886304 159.53007495 0.13312761 0.00879360 160.66104830 0.13221074 0.00873201 161.91768537 0.13120658 0.00866459 163.17432243 0.13021746 0.00859820 164.43095949 0.12924305 0.00853282 165.68759655 0.12828301 0.00846842 167.06989732 0.12724319 0.00839869 168.32653438 0.12631233 0.00833628 169.58317144 0.12539490 0.00827480 170.96547221 0.12440089 0.00820820 172.22210927 0.12351074 0.00814858 173.60441004 0.12254608 0.00808399 174.86104710 0.12168202 0.00802615 176.24334787 0.12074542 0.00796347 177.62564863 0.11982304 0.00790176 179.00794940 0.11891456 0.00784100 180.39025017 0.11801966 0.00778116 181.77255094 0.11713806 0.00772223 183.15485170 0.11626944 0.00766418 184.66281618 0.11533635 0.00760185 186.04511695 0.11449399 0.00754558 187.42741771 0.11366378 0.00749015 188.93538219 0.11277163 0.00743059 190.31768295 0.11196598 0.00737682 191.82564743 0.11110003 0.00731904 193.33361190 0.11024730 0.00726216 194.84157638 0.10940748 0.00720616 196.34954085 0.10858029 0.00715101 197.85750532 0.10776545 0.00709669 199.36546980 0.10696267 0.00704320 200.87343427 0.10617170 0.00699050 202.50706245 0.10532785 0.00693429 204.01502692 0.10456066 0.00688320 205.64865510 0.10374198 0.00682870 207.15661958 0.10299751 0.00677915 208.79024776 0.10220291 0.00672627 210.42387594 0.10142041 0.00667421 212.05750412 0.10064974 0.00662295 213.69113230 0.09989064 0.00657247 215.32476048 0.09914284 0.00652275 216.95838866 0.09840610 0.00647378 218.59201684 0.09768017 0.00642554 220.35130872 0.09691023 0.00637438 221.98493690 0.09620602 0.00632760 223.74422879 0.09545895 0.00627798 225.50352067 0.09472333 0.00622913 227.26281256 0.09399891 0.00618104 229.02210445 0.09328543 0.00613368 230.78139633 0.09258266 0.00608704 232.54068822 0.09189035 0.00604111 234.29998010 0.09120826 0.00599586 236.18493570 0.09048856 0.00594813 237.94422758 0.08982696 0.00590426 239.82918318 0.08912871 0.00585796 241.71413877 0.08844119 0.00581239 243.47343065 0.08780896 0.00577049 245.35838625 0.08714149 0.00572626 247.24334184 0.08648404 0.00568271 249.25396114 0.08579357 0.00563697 251.13891673 0.08515615 0.00559475