# omega total a= 1 L= 2 0.06283185 0.15248349 0.00657069 0.18849556 0.32929338 0.01709862 0.31415927 0.49697036 0.02722164 0.43982297 0.65516369 0.03676798 0.56548668 0.80353947 0.04562008 0.69115038 0.94154471 0.05371197 0.81681409 1.06876174 0.06103172 0.94247780 1.18501538 0.06761081 1.06814150 1.29036928 0.07350484 1.19380521 1.38508652 0.07877716 1.31946891 1.46958517 0.08349011 1.44513262 1.54439690 0.08770165 1.57079633 1.61012945 0.09146403 1.69646003 1.66743252 0.09482240 1.82212374 1.71697093 0.09781490 1.94778745 1.75940602 0.10047432 2.07345115 1.79538177 0.10282951 2.19911486 1.82551411 0.10490600 2.32477856 1.85038458 0.10672712 2.45044227 1.87053742 0.10831551 2.57610598 1.88647862 0.10969422 2.70176968 1.89867557 0.11088694 2.82743339 1.90755669 0.11191730 2.95309709 1.91351114 0.11280753 3.07876080 1.91688899 0.11357707 3.20442451 1.91800190 0.11424136 3.33008821 1.91712484 0.11481132 3.45575192 1.91449906 0.11529368 3.58141563 1.91033593 0.11569196 3.70707933 1.90482136 0.11600794 3.83274304 1.89812025 0.11624317 3.95840674 1.89038050 0.11640025 4.08407045 1.88173590 0.11648344 4.20973416 1.87230810 0.11649865 4.33539786 1.86220745 0.11645292 4.46106157 1.85153346 0.11635361 4.58672527 1.84037500 0.11620774 4.71238898 1.82881074 0.11602144 4.83805269 1.81690991 0.11579984 4.96371639 1.80473318 0.11554708 5.08938010 1.79233371 0.11526653 5.21504380 1.77975812 0.11496092 5.34070751 1.76704729 0.11463253 5.46637122 1.75423703 0.11428321 5.59203492 1.74135872 0.11391451 5.71769863 1.72843977 0.11352771 5.84336234 1.71550418 0.11312390 5.96902604 1.70257304 0.11270410 6.09468975 1.68966485 0.11226934 6.22035345 1.67679600 0.11182069 6.34601716 1.66398091 0.11135924 6.47168087 1.65123226 0.11088611 6.59734457 1.63856105 0.11040229 6.72300828 1.62597675 0.10990867 6.84867198 1.61348738 0.10940595 6.97433569 1.60109966 0.10889468 7.09999940 1.58881915 0.10837524 7.22566310 1.57665044 0.10784795 7.35132681 1.56459735 0.10731309 7.47699052 1.55266301 0.10677099 7.60265422 1.54085007 0.10622200 7.72831793 1.52916079 0.10566664 7.85398163 1.51759701 0.10510546 7.97964534 1.50616036 0.10453914 8.10530905 1.49485218 0.10396847 8.23097275 1.48367357 0.10339426 8.35663646 1.47262536 0.10281736 8.48230016 1.46170820 0.10223865 8.60796387 1.45092242 0.10165896 8.73362758 1.44026814 0.10107905 8.85929128 1.42974519 0.10049963 8.98495499 1.41935313 0.09992128 9.11061870 1.40909127 0.09934447 9.23628240 1.39895869 0.09876959 9.36194611 1.38895423 0.09819690 9.48760981 1.37907656 0.09762659 9.61327352 1.36932418 0.09705876 9.73893723 1.35969549 0.09649349 9.86460093 1.35018886 0.09593084 9.99026464 1.34080251 0.09537081 10.11592834 1.33153478 0.09481347 10.24159205 1.32238386 0.09425883 10.36725576 1.31334810 0.09370700 10.49291946 1.30442575 0.09315802 10.61858317 1.29561517 0.09261200 10.74424688 1.28691469 0.09206904 10.86991058 1.27832266 0.09152925 10.99557429 1.26983745 0.09099272 11.12123799 1.26145743 0.09045954 11.24690170 1.25318099 0.08992981 11.37256541 1.24500652 0.08940361 11.49822911 1.23693236 0.08888096 11.62389282 1.22895691 0.08836193 11.74955652 1.22107856 0.08784653 11.87522023 1.21329568 0.08733477 12.00088394 1.20560668 0.08682667 12.12654764 1.19800996 0.08632221 12.25221135 1.19050395 0.08582137 12.37787506 1.18308710 0.08532415 12.50353876 1.17575787 0.08483051 12.62920247 1.16851473 0.08434042 12.75486617 1.16135624 0.08385387 12.88052988 1.15428090 0.08337083 13.00619359 1.14728733 0.08289129 13.13185729 1.14037412 0.08241523 13.25752100 1.13353992 0.08194263 13.38318470 1.12678340 0.08147349 13.50884841 1.12010327 0.08100781 13.63451212 1.11349829 0.08054559 13.76017582 1.10696723 0.08008685 13.88583953 1.10050889 0.07963158 14.01150324 1.09412212 0.07917981 14.13716694 1.08780578 0.07873156 14.26283065 1.08155877 0.07828685 14.38849435 1.07538000 0.07784568 14.51415806 1.06926844 0.07740810 14.63982177 1.06322302 0.07697411 14.76548547 1.05724276 0.07654373 14.89114918 1.05132663 0.07611696 15.01681288 1.04547368 0.07569383 15.14247659 1.03968296 0.07527435 15.26814030 1.03395349 0.07485849 15.39380400 1.02828436 0.07444627 15.51946771 1.02267466 0.07403769 15.64513141 1.01712347 0.07363271 15.77079512 1.01162990 0.07323131 15.89645883 1.00619308 0.07283350 16.02212253 1.00081215 0.07243921 16.14778624 0.99548624 0.07204843 16.27344995 0.99021454 0.07166114 16.39911365 0.98499620 0.07127727 16.52477736 0.97983041 0.07089681 16.65044106 0.97471640 0.07051971 16.77610477 0.96965336 0.07014592 16.90176848 0.96464055 0.06977542 17.02743218 0.95967719 0.06940815 17.15309589 0.95476255 0.06904408 17.27875959 0.94989592 0.06868317 17.40442330 0.94507658 0.06832537 17.53008701 0.94030384 0.06797066 17.65575071 0.93557702 0.06761898 17.78141442 0.93089546 0.06727031 17.90707813 0.92625850 0.06692462 18.03274183 0.92166550 0.06658185 18.15840554 0.91711584 0.06624200 18.28406924 0.91260892 0.06590502 18.40973295 0.90814411 0.06557087 18.53539666 0.90372085 0.06523954 18.66106036 0.89933856 0.06491100 18.78672407 0.89499665 0.06458519 18.91238777 0.89069459 0.06426211 19.03805148 0.88643183 0.06394173 19.16371519 0.88220782 0.06362399 19.28937889 0.87802204 0.06330890 19.41504260 0.87387398 0.06299640 19.54070631 0.86976314 0.06268648 19.66637001 0.86568900 0.06237910 19.79203372 0.86165108 0.06207423 19.91769742 0.85764891 0.06177185 20.04336113 0.85368200 0.06147193 20.16902484 0.84974991 0.06117444 20.29468854 0.84585216 0.06087934 20.42035225 0.84198833 0.06058662 20.54601595 0.83815795 0.06029625 20.67167966 0.83436061 0.06000819 20.79734337 0.83059589 0.05972243 20.92300707 0.82686337 0.05943893 21.04867078 0.82316264 0.05915768 21.17433449 0.81949330 0.05887865 21.29999819 0.81585497 0.05860182 21.42566190 0.81224724 0.05832716 21.55132560 0.80866976 0.05805466 21.67698931 0.80512215 0.05778428 21.80265302 0.80160404 0.05751602 21.92831672 0.79811507 0.05724984 22.05398043 0.79465490 0.05698575 22.17964413 0.79122318 0.05672370 22.30530784 0.78781957 0.05646370 22.43097155 0.78444375 0.05620571 22.55663525 0.78109537 0.05594974 22.68229896 0.77777413 0.05569575 22.80796267 0.77447971 0.05544374 22.93362637 0.77121179 0.05519369 23.05929008 0.76797009 0.05494559 23.18495378 0.76475428 0.05469942 23.31061749 0.76156408 0.05445517 23.43628120 0.75839921 0.05421283 23.56194490 0.75525936 0.05397239 23.68760861 0.75214427 0.05373383 23.81327231 0.74905366 0.05349713 23.93893602 0.74598725 0.05326230 24.06459973 0.74294478 0.05302931 24.19026343 0.73992598 0.05279816 24.31592714 0.73693058 0.05256883 24.44159084 0.73395834 0.05234130 24.56725455 0.73100900 0.05211557 24.69291826 0.72808232 0.05189163 24.81858196 0.72517803 0.05166946 24.94424567 0.72229590 0.05144904 25.06990938 0.71943569 0.05123036 25.19557308 0.71659716 0.05101342 25.44690049 0.71098421 0.05058466 25.57256420 0.70820934 0.05037282 25.82389161 0.70272164 0.04995414 25.94955532 0.70000839 0.04974727 26.20088273 0.69464196 0.04933840 26.32654644 0.69198837 0.04913636 26.57787385 0.68673939 0.04873702 26.82920126 0.68156663 0.04834387 26.95486497 0.67900834 0.04814957 27.20619238 0.67394694 0.04776547 27.45751979 0.66895784 0.04738723 27.58318350 0.66648994 0.04720027 27.83451091 0.66160649 0.04683060 28.08583832 0.65679167 0.04646647 28.21150203 0.65440955 0.04628645 28.46282944 0.64969504 0.04593041 28.71415685 0.64504570 0.04557961 28.96548427 0.64046022 0.04523394 29.09114797 0.63819103 0.04506299 29.34247538 0.63369894 0.04472477 29.59380280 0.62926758 0.04439141 29.84513021 0.62489574 0.04406277 30.09645762 0.62058225 0.04373877 30.34778503 0.61632598 0.04341929 30.47344874 0.61421895 0.04326121 30.72477615 0.61004643 0.04294835 30.97610356 0.60592842 0.04263977 31.22743098 0.60186388 0.04233540 31.47875839 0.59785179 0.04203514 31.73008580 0.59389117 0.04173891 31.98141321 0.58998106 0.04144663 32.23274063 0.58612052 0.04115823 32.48406804 0.58230864 0.04087362 32.73539545 0.57854453 0.04059274 32.98672286 0.57482732 0.04031551 33.23805027 0.57115616 0.04004186 33.48937769 0.56753022 0.03977172 33.74070510 0.56394870 0.03950504 33.99203251 0.56041080 0.03924174 34.24335992 0.55691575 0.03898176 34.49468734 0.55346281 0.03872504 34.74601475 0.55005123 0.03847153 34.99734216 0.54668030 0.03822116 35.37433328 0.54169857 0.03785139 35.62566069 0.53842621 0.03760865 35.87698810 0.53519211 0.03736886 36.12831552 0.53199561 0.03713198 36.37964293 0.52883608 0.03689795 36.75663405 0.52416476 0.03655215 37.00796146 0.52109498 0.03632505 37.25928887 0.51806005 0.03610063 37.51061628 0.51505940 0.03587885 37.88760740 0.51062149 0.03555103 38.13893481 0.50770411 0.03533567 38.39026223 0.50481911 0.03512279 38.76725335 0.50055114 0.03480805 39.01858076 0.49774478 0.03460122 39.39557188 0.49359244 0.03429536 39.64689929 0.49086164 0.03409433 39.89822670 0.48816023 0.03389555 40.27521782 0.48416222 0.03360154 40.52654523 0.48153229 0.03340825 40.90353635 0.47763943 0.03312229 41.15486376 0.47507825 0.03293426 41.53185488 0.47128654 0.03265605 41.78318229 0.46879150 0.03247309 42.16017341 0.46509713 0.03220232 42.53716453 0.46145941 0.03193588 42.78849194 0.45906511 0.03176061 43.16548306 0.45551903 0.03150117 43.41681047 0.45318469 0.03133047 43.79380159 0.44972689 0.03107776 44.17079271 0.44632052 0.03082896 44.54778383 0.44296446 0.03058400 44.79911124 0.44075450 0.03042278 45.17610236 0.43747990 0.03018401 45.55309348 0.43425279 0.02994886 45.93008460 0.43107216 0.02971723 46.18141201 0.42897707 0.02956474 46.55840313 0.42587175 0.02933883 46.93539424 0.42281036 0.02911625 47.31238536 0.41979199 0.02889693 47.68937648 0.41681575 0.02868080 48.06636760 0.41388080 0.02846779 48.44335872 0.41098627 0.02825785 48.82034984 0.40813137 0.02805090 49.19734096 0.40531530 0.02784688 49.57433207 0.40253727 0.02764573 49.95132319 0.39979654 0.02744740 50.32831431 0.39709238 0.02725182 50.70530543 0.39442406 0.02705895 51.08229655 0.39179089 0.02686872 51.45928767 0.38919219 0.02668108 51.83627878 0.38662730 0.02649599 52.33893361 0.38325891 0.02625307 52.71592473 0.38077041 0.02607372 53.09291585 0.37831362 0.02589675 53.46990696 0.37588795 0.02572211 53.97256179 0.37270112 0.02549282 54.34955291 0.37034583 0.02532346 54.72654403 0.36801978 0.02515628 55.22919885 0.36496293 0.02493672 55.60618997 0.36270304 0.02477449 55.98318109 0.36047065 0.02461433 56.48583591 0.35753607 0.02440390 56.86282703 0.35536597 0.02424838 57.36548185 0.35251271 0.02404402 57.74247297 0.35040233 0.02389295 58.24512780 0.34762709 0.02369441 58.62211892 0.34557404 0.02354761 59.12477374 0.34287369 0.02335464 59.62742857 0.34021479 0.02316474 60.00441968 0.33824726 0.02302431 60.50707451 0.33565866 0.02283964 61.00972933 0.33310900 0.02265785 61.38672045 0.33122179 0.02252338 61.88937528 0.32873821 0.02234649 62.39203010 0.32629124 0.02217232 62.89468492 0.32388010 0.02200080 63.39733975 0.32150400 0.02183188 63.89999457 0.31916219 0.02166548 64.40264940 0.31685395 0.02150157 64.77964052 0.31514436 0.02138023 65.28229534 0.31289315 0.02122052 65.78495017 0.31067359 0.02106315 66.41326870 0.30794264 0.02086964 66.91592352 0.30579191 0.02071734 67.41857835 0.30367075 0.02056722 67.92123317 0.30157857 0.02041922 68.42388800 0.29951477 0.02027331 68.92654282 0.29747879 0.02012945 69.42919764 0.29547007 0.01998758 70.05751618 0.29299667 0.01981300 70.56017100 0.29104733 0.01967549 71.06282582 0.28912353 0.01953985 71.69114435 0.28675396 0.01937288 72.19379918 0.28488586 0.01924132 72.82211771 0.28258440 0.01907933 73.32477253 0.28076961 0.01895166 73.95309107 0.27853338 0.01879443 74.45574589 0.27676967 0.01867050 75.08406442 0.27459595 0.01851783 75.58671925 0.27288120 0.01839746 76.21503778 0.27076740 0.01824916 76.84335631 0.26868584 0.01810321 77.34601113 0.26704330 0.01798809 77.97432966 0.26501793 0.01784623 78.60264819 0.26302281 0.01770656 79.23096672 0.26105726 0.01756903 79.85928525 0.25912063 0.01743361 80.36194008 0.25759173 0.01732675 80.99025861 0.25570559 0.01719498 81.61857714 0.25384665 0.01706519 82.24689567 0.25201432 0.01693732 82.87521420 0.25020805 0.01681133 83.62919644 0.24807413 0.01666258 84.25751497 0.24632325 0.01654060 84.88583350 0.24459672 0.01642037 85.51415203 0.24289403 0.01630187 86.14247056 0.24121469 0.01618505 86.89645280 0.23922963 0.01604703 87.52477133 0.23760001 0.01593379 88.15308986 0.23599226 0.01582213 88.90707210 0.23409122 0.01569016 89.53539063 0.23253007 0.01558184 90.28937286 0.23068373 0.01545381 90.91769139 0.22916719 0.01534869 91.67167363 0.22737325 0.01522442 92.42565587 0.22560695 0.01510212 93.05397440 0.22415569 0.01500169 93.80795664 0.22243843 0.01488290 94.56193887 0.22074708 0.01476597 95.19025740 0.21935698 0.01466991 95.94423964 0.21771161 0.01455627 96.69822188 0.21609054 0.01444436 97.45220411 0.21449324 0.01433415 98.20618635 0.21291919 0.01422559 98.96016859 0.21136788 0.01411866 99.71415082 0.20983884 0.01401331 100.46813306 0.20833157 0.01390951 101.34777900 0.20660002 0.01379033 102.10176124 0.20513839 0.01368977 102.85574348 0.20369712 0.01359067 103.60972572 0.20227581 0.01349298 104.48937166 0.20064226 0.01338076 105.24335390 0.19926277 0.01328603 106.12299984 0.19767695 0.01317719 106.87698208 0.19633747 0.01308530 107.75662802 0.19479731 0.01297970 108.51061025 0.19349613 0.01289052 109.39025620 0.19199970 0.01278800 110.26990214 0.19052605 0.01268710 111.14954808 0.18907467 0.01258776 111.90353032 0.18784797 0.01250384 112.78317626 0.18643662 0.01240733 113.66282221 0.18504615 0.01231229 114.54246815 0.18367610 0.01221869 115.42211409 0.18232602 0.01212649 116.30176004 0.18099548 0.01203567 117.18140598 0.17968407 0.01194619 118.18671563 0.17820820 0.01184554 119.06636157 0.17693641 0.01175885 119.94600751 0.17568249 0.01167340 120.95131716 0.17427085 0.01157726 121.83096311 0.17305399 0.01149441 122.83627276 0.17168378 0.01140117 123.71591870 0.17050238 0.01132081 124.72122835 0.16917180 0.01123033 125.60087429 0.16802433 0.01115234 126.60618394 0.16673170 0.01106452 127.61149359 0.16545865 0.01097807 128.61680324 0.16420474 0.01089295 129.62211289 0.16296954 0.01080914 130.62742254 0.16175264 0.01072660 131.63273219 0.16055364 0.01064531 132.63804183 0.15937214 0.01056523 133.64335148 0.15820777 0.01048635 134.64866113 0.15706016 0.01040863 135.65397078 0.15592895 0.01033205 136.78494414 0.15467551 0.01024723 137.79025379 0.15357801 0.01017299 138.92122714 0.15236165 0.01009075 139.92653679 0.15129638 0.01001874 141.05751015 0.15011548 0.00993895 142.06281980 0.14908105 0.00986909 143.19379315 0.14793409 0.00979165 144.32476651 0.14680452 0.00971541 145.45573986 0.14569194 0.00964034 146.58671322 0.14459597 0.00956643 147.71768657 0.14351625 0.00949363 148.84865993 0.14245241 0.00942194 149.97963328 0.14140412 0.00935131 151.11060664 0.14037102 0.00928173 152.24157999 0.13935281 0.00921318 153.49821705 0.13823852 0.00913818 154.62919041 0.13725069 0.00907172 155.88582747 0.13616940 0.00899899 157.01680083 0.13521060 0.00893453 158.27343789 0.13416088 0.00886397 159.53007495 0.13312721 0.00879452 160.66104830 0.13221034 0.00873293 161.91768537 0.13120620 0.00866550 163.17432243 0.13021709 0.00859910 164.43095949 0.12924268 0.00853371 165.68759655 0.12828264 0.00846930 167.06989732 0.12724283 0.00839957 168.32653438 0.12631198 0.00833716 169.58317144 0.12539456 0.00827567 170.96547221 0.12440056 0.00820907 172.22210927 0.12351041 0.00814944 173.60441004 0.12254576 0.00808484 174.86104710 0.12168170 0.00802699 176.24334787 0.12074511 0.00796431 177.62564863 0.11982274 0.00790260 179.00794940 0.11891426 0.00784183 180.39025017 0.11801937 0.00778199 181.77255094 0.11713777 0.00772305 183.15485170 0.11626916 0.00766500 184.66281618 0.11533607 0.00760265 186.04511695 0.11449372 0.00754638 187.42741771 0.11366351 0.00749094 188.93538219 0.11277137 0.00743138 190.31768295 0.11196572 0.00737761 191.82564743 0.11109978 0.00731982 193.33361190 0.11024706 0.00726294 194.84157638 0.10940725 0.00720692 196.34954085 0.10858006 0.00715177 197.85750532 0.10776522 0.00709745 199.36546980 0.10696245 0.00704395 200.87343427 0.10617149 0.00699125 202.50706245 0.10532763 0.00693503 204.01502692 0.10456045 0.00688394 205.64865510 0.10374177 0.00682943 207.15661958 0.10299731 0.00677987 208.79024776 0.10220272 0.00672699 210.42387594 0.10142022 0.00667493 212.05750412 0.10064956 0.00662366 213.69113230 0.09989045 0.00657317 215.32476048 0.09914266 0.00652345 216.95838866 0.09840592 0.00647447 218.59201684 0.09768000 0.00642622 220.35130872 0.09691006 0.00637506 221.98493690 0.09620586 0.00632828 223.74422879 0.09545879 0.00627865 225.50352067 0.09472317 0.00622980 227.26281256 0.09399875 0.00618170 229.02210445 0.09328528 0.00613434 230.78139633 0.09258251 0.00608770 232.54068822 0.09189020 0.00604176 234.29998010 0.09120812 0.00599651 236.18493570 0.09048842 0.00594877 237.94422758 0.08982682 0.00590489 239.82918318 0.08912858 0.00585860 241.71413877 0.08844106 0.00581302 243.47343065 0.08780884 0.00577111 245.35838625 0.08714136 0.00572688 247.24334184 0.08648392 0.00568332 249.25396114 0.08579345 0.00563758 251.13891673 0.08515603 0.00559536