# omega total a= 1 L= 2 0.06283185 0.11839681 0.00709056 0.18849556 0.27603611 0.01800765 0.31415927 0.43007566 0.02940516 0.43982297 0.57702630 0.04003226 0.56548668 0.71604806 0.04990052 0.69115038 0.84634596 0.05889824 0.81681409 0.96747639 0.06701372 0.94247780 1.07921141 0.07426424 1.06814150 1.18153385 0.08070183 1.19380521 1.27460649 0.08640405 1.31946891 1.35870895 0.09144571 1.44513262 1.43421147 0.09589696 1.57079633 1.50155511 0.09982530 1.69646003 1.56122644 0.10329164 1.82212374 1.61373486 0.10634703 1.94778745 1.65959639 0.10903244 2.07345115 1.69932474 0.11138208 2.19911486 1.73342575 0.11342743 2.32477856 1.76239223 0.11519994 2.45044227 1.78669778 0.11673125 2.57610598 1.80679049 0.11805185 2.70176968 1.82308794 0.11918897 2.82743339 1.83597400 0.12016473 2.95309709 1.84579808 0.12099529 3.07876080 1.85287663 0.12169129 3.20442451 1.85749604 0.12225927 3.33008821 1.85991612 0.12270355 3.45575192 1.86037359 0.12302821 3.58141563 1.85908496 0.12323849 3.70707933 1.85624886 0.12334178 3.83274304 1.85204772 0.12334793 3.95840674 1.84664893 0.12326901 4.08407045 1.84020529 0.12311855 4.20973416 1.83285518 0.12291037 4.33539786 1.82472245 0.12265729 4.46106157 1.81591646 0.12236996 4.58672527 1.80653250 0.12205609 4.71238898 1.79665261 0.12172012 4.83805269 1.78634713 0.12136354 4.96371639 1.77567639 0.12098558 5.08938010 1.76469274 0.12058418 5.21504380 1.75344249 0.12015708 5.34070751 1.74196757 0.11970269 5.46637122 1.73030683 0.11922077 5.59203492 1.71849670 0.11871268 5.71769863 1.70657166 0.11818137 5.84336234 1.69456392 0.11763086 5.96902604 1.68250332 0.11706586 6.09468975 1.67041674 0.11649103 6.22035345 1.65832790 0.11591051 6.34601716 1.64625706 0.11532748 6.47168087 1.63422113 0.11474402 6.59734457 1.62223388 0.11416109 6.72300828 1.61030626 0.11357865 6.84867198 1.59844696 0.11299595 6.97433569 1.58666285 0.11241179 7.09999940 1.57495949 0.11182482 7.22566310 1.56334150 0.11123375 7.35132681 1.55181292 0.11063755 7.47699052 1.54037740 0.11003552 7.60265422 1.52903838 0.10942737 7.72831793 1.51779915 0.10881321 7.85398163 1.50666286 0.10819349 7.97964534 1.49563254 0.10756895 8.10530905 1.48471103 0.10694057 8.23097275 1.47390092 0.10630942 8.35663646 1.46320446 0.10567660 8.48230016 1.45262362 0.10504325 8.60796387 1.44215989 0.10441037 8.73362758 1.43181436 0.10377884 8.85929128 1.42158772 0.10314938 8.98495499 1.41148024 0.10252260 9.11061870 1.40149178 0.10189887 9.23628240 1.39162194 0.10127849 9.36194611 1.38186996 0.10066159 9.48760981 1.37223491 0.10004825 9.61327352 1.36271566 0.09943846 9.73893723 1.35331096 0.09883217 9.86460093 1.34401950 0.09822937 9.99026464 1.33483990 0.09763000 10.11592834 1.32577078 0.09703405 10.24159205 1.31681082 0.09644162 10.36725576 1.30795857 0.09585266 10.49291946 1.29921276 0.09526736 10.61858317 1.29057202 0.09468582 10.74424688 1.28203501 0.09410812 10.86991058 1.27360035 0.09353440 10.99557429 1.26526670 0.09296477 11.12123799 1.25703264 0.09239927 11.24690170 1.24889674 0.09183796 11.37256541 1.24085756 0.09128086 11.49822911 1.23291360 0.09072793 11.62389282 1.22506340 0.09017914 11.74955652 1.21730550 0.08963447 11.87522023 1.20963844 0.08909385 12.00088394 1.20206079 0.08855725 12.12654764 1.19457114 0.08802464 12.25221135 1.18716815 0.08749600 12.37787506 1.17985051 0.08697136 12.50353876 1.17261689 0.08645070 12.62920247 1.16546605 0.08593405 12.75486617 1.15839675 0.08542145 12.88052988 1.15140772 0.08491290 13.00619359 1.14449780 0.08440845 13.13185729 1.13766576 0.08390810 13.25752100 1.13091037 0.08341184 13.38318470 1.12423045 0.08291967 13.50884841 1.11762480 0.08243156 13.63451212 1.11109224 0.08194750 13.76017582 1.10463158 0.08146743 13.88583953 1.09824164 0.08099130 14.01150324 1.09192129 0.08051907 14.13716694 1.08566940 0.08005070 14.26283065 1.07948486 0.07958614 14.38849435 1.07336658 0.07912535 14.51415806 1.06731355 0.07866831 14.63982177 1.06132471 0.07821499 14.76548547 1.05539910 0.07776538 14.89114918 1.04953574 0.07731947 15.01681288 1.04373369 0.07687724 15.14247659 1.03799207 0.07643873 15.26814030 1.03230998 0.07600394 15.39380400 1.02668658 0.07557288 15.51946771 1.02112098 0.07514556 15.64513141 1.01561243 0.07472203 15.77079512 1.01016008 0.07430227 15.89645883 1.00476316 0.07388633 16.02212253 0.99942087 0.07347418 16.14778624 0.99413245 0.07306585 16.27344995 0.98889714 0.07266134 16.39911365 0.98371425 0.07226067 16.52477736 0.97858294 0.07186378 16.65044106 0.97350255 0.07147068 16.77610477 0.96847230 0.07108132 16.90176848 0.96349150 0.07069569 17.02743218 0.95855941 0.07031374 17.15309589 0.95367531 0.06993540 17.27875959 0.94883854 0.06956066 17.40442330 0.94404840 0.06918945 17.53008701 0.93930413 0.06882167 17.65575071 0.93460514 0.06845732 17.78141442 0.92995072 0.06809630 17.90707813 0.92534022 0.06773855 18.03274183 0.92077301 0.06738402 18.15840554 0.91624845 0.06703263 18.28406924 0.91176593 0.06668433 18.40973295 0.90732481 0.06633905 18.53539666 0.90292456 0.06599676 18.66106036 0.89856456 0.06565739 18.78672407 0.89424425 0.06532088 18.91238777 0.88996310 0.06498722 19.03805148 0.88572056 0.06465633 19.16371519 0.88151612 0.06432821 19.28937889 0.87734924 0.06400279 19.41504260 0.87321946 0.06368006 19.54070631 0.86912627 0.06335999 19.66637001 0.86506922 0.06304256 19.79203372 0.86104784 0.06272775 19.91769742 0.85706165 0.06241551 20.04336113 0.85311025 0.06210585 20.16902484 0.84919316 0.06179874 20.29468854 0.84530999 0.06149417 20.42035225 0.84146031 0.06119212 20.54601595 0.83764370 0.06089256 20.67167966 0.83385976 0.06059549 20.79734337 0.83010809 0.06030088 20.92300707 0.82638829 0.06000871 21.04867078 0.82270001 0.05971899 21.17433449 0.81904283 0.05943166 21.29999819 0.81541637 0.05914672 21.42566190 0.81182030 0.05886416 21.55132560 0.80825421 0.05858394 21.67698931 0.80471777 0.05830604 21.80265302 0.80121060 0.05803044 21.92831672 0.79773235 0.05775711 22.05398043 0.79428269 0.05748604 22.17964413 0.79086128 0.05721720 22.30530784 0.78746775 0.05695055 22.43097155 0.78410181 0.05668608 22.55663525 0.78076312 0.05642377 22.68229896 0.77745133 0.05616358 22.80796267 0.77416616 0.05590551 22.93362637 0.77090728 0.05564951 23.05929008 0.76767440 0.05539558 23.18495378 0.76446719 0.05514367 23.31061749 0.76128540 0.05489380 23.43628120 0.75812867 0.05464591 23.56194490 0.75499678 0.05439999 23.68760861 0.75188942 0.05415604 23.81327231 0.74880631 0.05391402 23.93893602 0.74574718 0.05367392 24.06459973 0.74271179 0.05343573 24.19026343 0.73969983 0.05319941 24.31592714 0.73671109 0.05296499 24.44159084 0.73374527 0.05273240 24.56725455 0.73080216 0.05250166 24.69291826 0.72788149 0.05227274 24.81858196 0.72498302 0.05204563 24.94424567 0.72210652 0.05182033 25.06990938 0.71925176 0.05159680 25.19557308 0.71641849 0.05137505 25.44690049 0.71081554 0.05093680 25.57256420 0.70804542 0.05072028 25.82389161 0.70256676 0.05029236 25.94955532 0.69985780 0.05008095 26.20088273 0.69449957 0.04966313 26.32654644 0.69184988 0.04945669 26.57787385 0.68660835 0.04904871 26.82920126 0.68144260 0.04864713 26.95486497 0.67888766 0.04844871 27.20619238 0.67383268 0.04805652 27.45751979 0.66884967 0.04767044 27.58318350 0.66638469 0.04747965 27.83451091 0.66150688 0.04710250 28.08583832 0.65669742 0.04673114 28.21150203 0.65431789 0.04654759 28.46282944 0.64960837 0.04618469 28.71415685 0.64496381 0.04582726 28.96548427 0.64038289 0.04547517 29.09114797 0.63811591 0.04530111 29.34247538 0.63362811 0.04495683 29.59380280 0.62920086 0.04461762 29.84513021 0.62483296 0.04428334 30.09645762 0.62052325 0.04395389 30.34778503 0.61627061 0.04362917 30.47344874 0.61416535 0.04346855 30.72477615 0.60999625 0.04315070 30.97610356 0.60588151 0.04283732 31.22743098 0.60182010 0.04252831 31.47875839 0.59781102 0.04222356 31.73008580 0.59385328 0.04192300 31.98141321 0.58994593 0.04162653 32.23274063 0.58608804 0.04133407 32.48406804 0.58227869 0.04104554 32.73539545 0.57851699 0.04076085 32.98672286 0.57480209 0.04047993 33.23805027 0.57113314 0.04020271 33.48937769 0.56750931 0.03992911 33.74070510 0.56392979 0.03965905 33.99203251 0.56039381 0.03939249 34.24335992 0.55690059 0.03912934 34.49468734 0.55344938 0.03886955 34.74601475 0.55003946 0.03861304 34.99734216 0.54667010 0.03835977 35.37433328 0.54169060 0.03798578 35.62566069 0.53841963 0.03774033 35.87698810 0.53518684 0.03749790 36.12831552 0.53199159 0.03725845 36.37964293 0.52883325 0.03702193 36.75663405 0.52416360 0.03667250 37.00796146 0.52109485 0.03644306 37.25928887 0.51806091 0.03621636 37.51061628 0.51506119 0.03599236 37.88760740 0.51062457 0.03566132 38.13893481 0.50770800 0.03544387 38.39026223 0.50482376 0.03522896 38.76725335 0.50055685 0.03491128 39.01858076 0.49775114 0.03470254 39.39557188 0.49359971 0.03439391 39.64689929 0.49086947 0.03419109 39.89822670 0.48816858 0.03399057 40.27521782 0.48417129 0.03369401 40.52654523 0.48154181 0.03349907 40.90353635 0.47764955 0.03321072 41.15486376 0.47508874 0.03302114 41.53185488 0.47129753 0.03274067 41.78318229 0.46880280 0.03255624 42.16017341 0.46510883 0.03228334 42.53716453 0.46147148 0.03201484 42.78849194 0.45907739 0.03183824 43.16548306 0.45553159 0.03157685 43.41681047 0.45319741 0.03140490 43.79380159 0.44973982 0.03115035 44.17079271 0.44633362 0.03089978 44.54778383 0.44297770 0.03065309 44.79911124 0.44076782 0.03049076 45.17610236 0.43749330 0.03025036 45.55309348 0.43426625 0.03001363 45.93008460 0.43108564 0.02978048 46.18141201 0.42899056 0.02962699 46.55840313 0.42588523 0.02939963 46.93539424 0.42282380 0.02917565 47.31238536 0.41980537 0.02895497 47.68937648 0.41682905 0.02873753 48.06636760 0.41389400 0.02852324 48.44335872 0.41099936 0.02831206 48.82034984 0.40814433 0.02810390 49.19734096 0.40532811 0.02789872 49.57433207 0.40254993 0.02769644 49.95132319 0.39980903 0.02749701 50.32831431 0.39710468 0.02730037 50.70530543 0.39443617 0.02710645 51.08229655 0.39180280 0.02691522 51.45928767 0.38920388 0.02672661 51.83627878 0.38663877 0.02654057 52.33893361 0.38327007 0.02629642 52.71592473 0.38078133 0.02611618 53.09291585 0.37832430 0.02593834 53.46990696 0.37589838 0.02576286 53.97256179 0.37271122 0.02553248 54.34955291 0.37035566 0.02536233 54.72654403 0.36802934 0.02519439 55.22919885 0.36497213 0.02497383 55.60618997 0.36271197 0.02481089 55.98318109 0.36047931 0.02465002 56.48583591 0.35754436 0.02443868 56.86282703 0.35537397 0.02428250 57.36548185 0.35252033 0.02407729 57.74247297 0.35040968 0.02392560 58.24512780 0.34763405 0.02372625 58.62211892 0.34558072 0.02357887 59.12477374 0.34287998 0.02338513 59.62742857 0.34022070 0.02319451 60.00441968 0.33825288 0.02305353 60.50707451 0.33566390 0.02286817 61.00972933 0.33311386 0.02268572 61.38672045 0.33122636 0.02255075 61.88937528 0.32874240 0.02237324 62.39203010 0.32629506 0.02219845 62.89468492 0.32388354 0.02202634 63.39733975 0.32150707 0.02185683 63.89999457 0.31916489 0.02168988 64.40264940 0.31685628 0.02152543 64.77964052 0.31514642 0.02140369 65.28229534 0.31289484 0.02124347 65.78495017 0.31067492 0.02108560 66.41326870 0.30794353 0.02089149 66.91592352 0.30579244 0.02073873 67.41857835 0.30367094 0.02058815 67.92123317 0.30157841 0.02043972 68.42388800 0.29951427 0.02029338 68.92654282 0.29747795 0.02014910 69.42919764 0.29546889 0.02000683 70.05751618 0.29299509 0.01983177 70.56017100 0.29104541 0.01969388 71.06282582 0.28912130 0.01955787 71.69114435 0.28675133 0.01939045 72.19379918 0.28488291 0.01925854 72.82211771 0.28258107 0.01909613 73.32477253 0.28076598 0.01896814 73.95309107 0.27852938 0.01881052 74.45574589 0.27676538 0.01868628 75.08406442 0.27459129 0.01853324 75.58671925 0.27287625 0.01841258 76.21503778 0.27076211 0.01826393 76.84335631 0.26868020 0.01811764 77.34601113 0.26703739 0.01800226 77.97432966 0.26501169 0.01786008 78.60264819 0.26301624 0.01772010 79.23096672 0.26105037 0.01758227 79.85928525 0.25911343 0.01744656 80.36194008 0.25758428 0.01733947 80.99025861 0.25569783 0.01720743 81.61857714 0.25383859 0.01707736 82.24689567 0.25200597 0.01694924 82.87521420 0.25019941 0.01682300 83.62919644 0.24806515 0.01667396 84.25751497 0.24631400 0.01655174 84.88583350 0.24458720 0.01643128 85.51415203 0.24288424 0.01631256 86.14247056 0.24120464 0.01619552 86.89645280 0.23921929 0.01605726 87.52477133 0.23758942 0.01594381 88.15308986 0.23598142 0.01583195 88.90707210 0.23408010 0.01569975 89.53539063 0.23251872 0.01559125 90.28937286 0.23067212 0.01546300 90.91769139 0.22915536 0.01535771 91.67167363 0.22736115 0.01523323 92.42565587 0.22559460 0.01511073 93.05397440 0.22414313 0.01501014 93.80795664 0.22242564 0.01489117 94.56193887 0.22073405 0.01477406 95.19025740 0.21934376 0.01467785 95.94423964 0.21769818 0.01456404 96.69822188 0.21607689 0.01445196 97.45220411 0.21447938 0.01434159 98.20618635 0.21290512 0.01423288 98.96016859 0.21135362 0.01412579 99.71415082 0.20982438 0.01402030 100.46813306 0.20831693 0.01391636 101.34777900 0.20658516 0.01379701 102.10176124 0.20512335 0.01369633 102.85574348 0.20368191 0.01359709 103.60972572 0.20226043 0.01349927 104.48937166 0.20062670 0.01338691 105.24335390 0.19924705 0.01329207 106.12299984 0.19766105 0.01318309 106.87698208 0.19632142 0.01309109 107.75662802 0.19478110 0.01298536 108.51061025 0.19347978 0.01289607 109.39025620 0.19198319 0.01279344 110.26990214 0.19050939 0.01269242 111.14954808 0.18905786 0.01259297 111.90353032 0.18783104 0.01250896 112.78317626 0.18641956 0.01241234 113.66282221 0.18502896 0.01231720 114.54246815 0.18365878 0.01222350 115.42211409 0.18230858 0.01213120 116.30176004 0.18097793 0.01204029 117.18140598 0.17966641 0.01195072 118.18671563 0.17819042 0.01184997 119.06636157 0.17691852 0.01176318 119.94600751 0.17566450 0.01167766 120.95131716 0.17425275 0.01158142 121.83096311 0.17303581 0.01149850 122.83627276 0.17166549 0.01140516 123.71591870 0.17048401 0.01132473 124.72122835 0.16915334 0.01123417 125.60087429 0.16800580 0.01115611 126.60618394 0.16671308 0.01106821 127.61149359 0.16543995 0.01098169 128.61680324 0.16418597 0.01089649 129.62211289 0.16295070 0.01081261 130.62742254 0.16173373 0.01073000 131.63273219 0.16053467 0.01064864 132.63804183 0.15935311 0.01056850 133.64335148 0.15818869 0.01048956 134.64866113 0.15704103 0.01041178 135.65397078 0.15590977 0.01033514 136.78494414 0.15465628 0.01025026 137.79025379 0.15355873 0.01017596 138.92122714 0.15234233 0.01009365 139.92653679 0.15127702 0.01002160 141.05751015 0.15009609 0.00994175 142.06281980 0.14906163 0.00987183 143.19379315 0.14791464 0.00979434 144.32476651 0.14678504 0.00971805 145.45573986 0.14567243 0.00964293 146.58671322 0.14457644 0.00956897 147.71768657 0.14349670 0.00949612 148.84865993 0.14243285 0.00942438 149.97963328 0.14138454 0.00935371 151.11060664 0.14035144 0.00928408 152.24157999 0.13933321 0.00921549 153.49821705 0.13821892 0.00914044 154.62919041 0.13723108 0.00907394 155.88582747 0.13614979 0.00900117 157.01680083 0.13519099 0.00893667 158.27343789 0.13414127 0.00886607 159.53007495 0.13310761 0.00879657 160.66104830 0.13219075 0.00873495 161.91768537 0.13118661 0.00866748 163.17432243 0.13019751 0.00860105 164.43095949 0.12922312 0.00853562 165.68759655 0.12826310 0.00847118 167.06989732 0.12722331 0.00840141 168.32653438 0.12629248 0.00833897 169.58317144 0.12537507 0.00827744 170.96547221 0.12438110 0.00821081 172.22210927 0.12349098 0.00815115 173.60441004 0.12252635 0.00808652 174.86104710 0.12166232 0.00802864 176.24334787 0.12072576 0.00796593 177.62564863 0.11980342 0.00790419 179.00794940 0.11889498 0.00784339 180.39025017 0.11800013 0.00778352 181.77255094 0.11711857 0.00772456 183.15485170 0.11624999 0.00766648 184.66281618 0.11531695 0.00760410 186.04511695 0.11447464 0.00754781 187.42741771 0.11364447 0.00749234 188.93538219 0.11275238 0.00743276 190.31768295 0.11194677 0.00737896 191.82564743 0.11108088 0.00732115 193.33361190 0.11022821 0.00726424 194.84157638 0.10938845 0.00720821 196.34954085 0.10856131 0.00715303 197.85750532 0.10774653 0.00709869 199.36546980 0.10694381 0.00704517 200.87343427 0.10615290 0.00699244 202.50706245 0.10530911 0.00693621 204.01502692 0.10454198 0.00688510 205.64865510 0.10372336 0.00683057 207.15661958 0.10297896 0.00678099 208.79024776 0.10218442 0.00672809 210.42387594 0.10140199 0.00667601 212.05750412 0.10063139 0.00662472 213.69113230 0.09987235 0.00657422 215.32476048 0.09912462 0.00652448 216.95838866 0.09838795 0.00647548 218.59201684 0.09766209 0.00642722 220.35130872 0.09689222 0.00637604 221.98493690 0.09618808 0.00632924 223.74422879 0.09544108 0.00627960 225.50352067 0.09470554 0.00623073 227.26281256 0.09398119 0.00618262 229.02210445 0.09326779 0.00613524 230.78139633 0.09256509 0.00608859 232.54068822 0.09187285 0.00604263 234.29998010 0.09119084 0.00599737 236.18493570 0.09047122 0.00594961 237.94422758 0.08980969 0.00590573 239.82918318 0.08911152 0.00585941 241.71413877 0.08842408 0.00581382 243.47343065 0.08779193 0.00577191 245.35838625 0.08712453 0.00572766 247.24334184 0.08646717 0.00568409 249.25396114 0.08577678 0.00563833 251.13891673 0.08513944 0.00559610