# omega total a= 1 L= 2 0.06283185 0.20709072 0.03904821 0.18849556 0.41956213 0.07116869 0.31415927 0.58638842 0.08049815 0.43982297 0.73019486 0.08100928 0.56548668 0.85463596 0.07512819 0.69115038 0.97530674 0.07244592 0.81681409 1.09362825 0.07426078 0.94247780 1.20611510 0.07854091 1.06814150 1.31070857 0.08398923 1.19380521 1.40545963 0.08929479 1.31946891 1.48968224 0.09385855 1.44513262 1.56377030 0.09765994 1.57079633 1.62854098 0.10087908 1.69646003 1.68490768 0.10372550 1.82212374 1.73362280 0.10629497 1.94778745 1.77526884 0.10856912 2.07345115 1.81043036 0.11053224 2.19911486 1.83974172 0.11221328 2.32477856 1.86380226 0.11363979 2.45044227 1.88315057 0.11482678 2.57610598 1.89829699 0.11579961 2.70176968 1.90972641 0.11659394 2.82743339 1.91787654 0.11723922 2.95309709 1.92313183 0.11775410 3.07876080 1.92583395 0.11815281 3.20442451 1.92629050 0.11844924 3.33008821 1.92477662 0.11865579 3.45575192 1.92153578 0.11878219 3.58141563 1.91678366 0.11883650 3.70707933 1.91071259 0.11882650 3.83274304 1.90349440 0.11875976 3.95840674 1.89528199 0.11864301 4.08407045 1.88621130 0.11848220 4.20973416 1.87640362 0.11828287 4.33539786 1.86596739 0.11805039 4.46106157 1.85499894 0.11778960 4.58672527 1.84358284 0.11750425 4.71238898 1.83179275 0.11719694 4.83805269 1.81969266 0.11686933 4.96371639 1.80733858 0.11652278 5.08938010 1.79478009 0.11615880 5.21504380 1.78206132 0.11577920 5.34070751 1.76922167 0.11538600 5.46637122 1.75629638 0.11498140 5.59203492 1.74331650 0.11456733 5.71769863 1.73030934 0.11414540 5.84336234 1.71729847 0.11371663 5.96902604 1.70430411 0.11328146 6.09468975 1.69134339 0.11283974 6.22035345 1.67843076 0.11239082 6.34601716 1.66557830 0.11193368 6.47168087 1.65279640 0.11146725 6.59734457 1.64009380 0.11099039 6.72300828 1.62747810 0.11050213 6.84867198 1.61495588 0.11000172 6.97433569 1.60253293 0.10948873 7.09999940 1.59021415 0.10896289 7.22566310 1.57800393 0.10842427 7.35132681 1.56590600 0.10787315 7.47699052 1.55392374 0.10731013 7.60265422 1.54206006 0.10673597 7.72831793 1.53031771 0.10615179 7.85398163 1.51869918 0.10555889 7.97964534 1.50720676 0.10495876 8.10530905 1.49584267 0.10435310 8.23097275 1.48460876 0.10374359 8.35663646 1.47350679 0.10313200 8.48230016 1.46253825 0.10252010 8.60796387 1.45170413 0.10190940 8.73362758 1.44100533 0.10130144 8.85929128 1.43044208 0.10069738 8.98495499 1.42001462 0.10009840 9.11061870 1.40972244 0.09950523 9.23628240 1.39956492 0.09891854 9.36194611 1.38954096 0.09833864 9.48760981 1.37964915 0.09776568 9.61327352 1.36988777 0.09719955 9.73893723 1.36025491 0.09664006 9.86460093 1.35074829 0.09608667 9.99026464 1.34136568 0.09553896 10.11592834 1.33210457 0.09499625 10.24159205 1.32296241 0.09445790 10.36725576 1.31393672 0.09392325 10.49291946 1.30502494 0.09339164 10.61858317 1.29622464 0.09286251 10.74424688 1.28753348 0.09233538 10.86991058 1.27894924 0.09180984 10.99557429 1.27046985 0.09128564 11.12123799 1.26209331 0.09076258 11.24690170 1.25381790 0.09024065 11.37256541 1.24564191 0.08971988 11.49822911 1.23756377 0.08920036 11.62389282 1.22958203 0.08868232 11.74955652 1.22169531 0.08816598 11.87522023 1.21390232 0.08765163 12.00088394 1.20620168 0.08713950 12.12654764 1.19859223 0.08662992 12.25221135 1.19107265 0.08612311 12.37787506 1.18364172 0.08561935 12.50353876 1.17629816 0.08511880 12.62920247 1.16904074 0.08462169 12.75486617 1.16186816 0.08412814 12.88052988 1.15477914 0.08363828 13.00619359 1.14777240 0.08315221 13.13185729 1.14084662 0.08266995 13.25752100 1.13400055 0.08219160 13.38318470 1.12723284 0.08171712 13.50884841 1.12054225 0.08124655 13.63451212 1.11392749 0.08077987 13.76017582 1.10738731 0.08031706 13.88583953 1.10092050 0.07985812 14.01150324 1.09452572 0.07940293 14.13716694 1.08820189 0.07895154 14.26283065 1.08194781 0.07850390 14.38849435 1.07576224 0.07805989 14.51415806 1.06964419 0.07761960 14.63982177 1.06359240 0.07718286 14.76548547 1.05760590 0.07674972 14.89114918 1.05168357 0.07632011 15.01681288 1.04582440 0.07589401 15.14247659 1.04002739 0.07547139 15.26814030 1.03429154 0.07505221 15.39380400 1.02861592 0.07463648 15.51946771 1.02299958 0.07422417 15.64513141 1.01744160 0.07381526 15.77079512 1.01194115 0.07340979 15.89645883 1.00649732 0.07300770 16.02212253 1.00110925 0.07260900 16.14778624 0.99577617 0.07221371 16.27344995 0.99049722 0.07182179 16.39911365 0.98527163 0.07143326 16.52477736 0.98009861 0.07104811 16.65044106 0.97497740 0.07066632 16.77610477 0.96990727 0.07028791 16.90176848 0.96488744 0.06991283 17.02743218 0.95991725 0.06954112 17.15309589 0.95499591 0.06917269 17.27875959 0.95012277 0.06880758 17.40442330 0.94529715 0.06844576 17.53008701 0.94051830 0.06808716 17.65575071 0.93578562 0.06773179 17.78141442 0.93109841 0.06737961 17.90707813 0.92645603 0.06703058 18.03274183 0.92185781 0.06668465 18.15840554 0.91730319 0.06634182 18.28406924 0.91279148 0.06600202 18.40973295 0.90832212 0.06566523 18.53539666 0.90389450 0.06533141 18.66106036 0.89950801 0.06500049 18.78672407 0.89516211 0.06467248 18.91238777 0.89085623 0.06434732 19.03805148 0.88658979 0.06402495 19.16371519 0.88236227 0.06370536 19.28937889 0.87817313 0.06338850 19.41504260 0.87402184 0.06307434 19.54070631 0.86990787 0.06276282 19.66637001 0.86583075 0.06245394 19.79203372 0.86178995 0.06214763 19.91769742 0.85778503 0.06184389 20.04336113 0.85381545 0.06154264 20.16902484 0.84988080 0.06124390 20.29468854 0.84598059 0.06094761 20.42035225 0.84211438 0.06065374 20.54601595 0.83828171 0.06036225 20.67167966 0.83448217 0.06007313 20.79734337 0.83071530 0.05978634 20.92300707 0.82698070 0.05950184 21.04867078 0.82327797 0.05921962 21.17433449 0.81960669 0.05893965 21.29999819 0.81596646 0.05866190 21.42566190 0.81235689 0.05838633 21.55132560 0.80877762 0.05811295 21.67698931 0.80522824 0.05784170 21.80265302 0.80170840 0.05757258 21.92831672 0.79821773 0.05730554 22.05398043 0.79475589 0.05704059 22.17964413 0.79132251 0.05677770 22.30530784 0.78791727 0.05651685 22.43097155 0.78453981 0.05625801 22.55663525 0.78118981 0.05600116 22.68229896 0.77786696 0.05574632 22.80796267 0.77457092 0.05549343 22.93362637 0.77130139 0.05524249 23.05929008 0.76805806 0.05499349 23.18495378 0.76484063 0.05474641 23.31061749 0.76164880 0.05450125 23.43628120 0.75848230 0.05425798 23.56194490 0.75534081 0.05401659 23.68760861 0.75222407 0.05377707 23.81327231 0.74913181 0.05353942 23.93893602 0.74606375 0.05330361 24.06459973 0.74301961 0.05306963 24.19026343 0.73999915 0.05283749 24.31592714 0.73700209 0.05260716 24.44159084 0.73402819 0.05237864 24.56725455 0.73107718 0.05215190 24.69291826 0.72814883 0.05192695 24.81858196 0.72524290 0.05170378 24.94424567 0.72235913 0.05148235 25.06990938 0.71949729 0.05126268 25.19557308 0.71665714 0.05104474 25.44690049 0.71104100 0.05061403 25.57256420 0.70826455 0.05040121 25.82389161 0.70277378 0.04998064 25.94955532 0.70005902 0.04977284 26.20088273 0.69468967 0.04936217 26.32654644 0.69203467 0.04915926 26.57787385 0.68678292 0.04875822 26.82920126 0.68160752 0.04836345 26.95486497 0.67904797 0.04816839 27.20619238 0.67398411 0.04778278 27.45751979 0.66899270 0.04740314 27.58318350 0.66652368 0.04721551 27.83451091 0.66163811 0.04684457 28.08583832 0.65682129 0.04647925 28.21150203 0.65443821 0.04629866 28.46282944 0.64972188 0.04594156 28.71415685 0.64507083 0.04558977 28.96548427 0.64048376 0.04524317 29.09114797 0.63821380 0.04507178 29.34247538 0.63372027 0.04473275 29.59380280 0.62928755 0.04439863 29.84513021 0.62491444 0.04406930 30.09645762 0.62059977 0.04374464 30.34778503 0.61634239 0.04342457 30.47344874 0.61423484 0.04326622 30.72477615 0.61006132 0.04295282 30.97610356 0.60594237 0.04264375 31.22743098 0.60187694 0.04233893 31.47875839 0.59786402 0.04203825 31.73008580 0.59390262 0.04174164 31.98141321 0.58999178 0.04144900 32.23274063 0.58613055 0.04116026 32.48406804 0.58231802 0.04087535 32.73539545 0.57855329 0.04059417 32.98672286 0.57483550 0.04031667 33.23805027 0.57116379 0.04004277 33.48937769 0.56753733 0.03977240 33.74070510 0.56395531 0.03950550 33.99203251 0.56041694 0.03924199 34.24335992 0.55692145 0.03898182 34.49468734 0.55346808 0.03872493 34.74601475 0.55005610 0.03847125 34.99734216 0.54668478 0.03822072 35.37433328 0.54170251 0.03785073 35.62566069 0.53842981 0.03760785 35.87698810 0.53519538 0.03736794 36.12831552 0.53199858 0.03713094 36.37964293 0.52883875 0.03689680 36.75663405 0.52416701 0.03655084 37.00796146 0.52109697 0.03632364 37.25928887 0.51806179 0.03609913 37.51061628 0.51506090 0.03587726 37.88760740 0.51062265 0.03554933 38.13893481 0.50770506 0.03533389 38.39026223 0.50481984 0.03512094 38.76725335 0.50055159 0.03480611 39.01858076 0.49774505 0.03459922 39.39557188 0.49359245 0.03429328 39.64689929 0.49086148 0.03409220 39.89822670 0.48815992 0.03389337 40.27521782 0.48416168 0.03359930 40.52654523 0.48153162 0.03340596 40.90353635 0.47763856 0.03311995 41.15486376 0.47507725 0.03293189 41.53185488 0.47128536 0.03265363 41.78318229 0.46879021 0.03247064 42.16017341 0.46509568 0.03219983 42.53716453 0.46145782 0.03193336 42.78849194 0.45906343 0.03175806 43.16548306 0.45551721 0.03149859 43.41681047 0.45318279 0.03132788 43.79380159 0.44972487 0.03107515 44.17079271 0.44631839 0.03082633 44.54778383 0.44296223 0.03058135 44.79911124 0.44075220 0.03042012 45.17610236 0.43747752 0.03018134 45.55309348 0.43425032 0.02994618 45.93008460 0.43106961 0.02971454 46.18141201 0.42897448 0.02956204 46.55840313 0.42586909 0.02933613 46.93539424 0.42280763 0.02911355 47.31238536 0.41978921 0.02889422 47.68937648 0.41681292 0.02867810 48.06636760 0.41387791 0.02846509 48.44335872 0.41098334 0.02825515 48.82034984 0.40812840 0.02804820 49.19734096 0.40531229 0.02784419 49.57433207 0.40253423 0.02764305 49.95132319 0.39979347 0.02744472 50.32831431 0.39708928 0.02724915 50.70530543 0.39442093 0.02705629 51.08229655 0.39178774 0.02686607 51.45928767 0.38918902 0.02667844 51.83627878 0.38662411 0.02649336 52.33893361 0.38325570 0.02625046 52.71592473 0.38076718 0.02607112 53.09291585 0.37831039 0.02589416 53.46990696 0.37588471 0.02571954 53.97256179 0.37269787 0.02549026 54.34955291 0.37034258 0.02532091 54.72654403 0.36801652 0.02515375 55.22919885 0.36495967 0.02493420 55.60618997 0.36269978 0.02477199 55.98318109 0.36046739 0.02461184 56.48583591 0.35753282 0.02440143 56.86282703 0.35536271 0.02424593 57.36548185 0.35250946 0.02404159 57.74247297 0.35039909 0.02389054 58.24512780 0.34762386 0.02369201 58.62211892 0.34557082 0.02354523 59.12477374 0.34287048 0.02335228 59.62742857 0.34021159 0.02316241 60.00441968 0.33824407 0.02302198 60.50707451 0.33565549 0.02283733 61.00972933 0.33310585 0.02265557 61.38672045 0.33121865 0.02252111 61.88937528 0.32873508 0.02234425 62.39203010 0.32628813 0.02217010 62.89468492 0.32387701 0.02199860 63.39733975 0.32150093 0.02182969 63.89999457 0.31915915 0.02166332 64.40264940 0.31685092 0.02149942 64.77964052 0.31514135 0.02137810 65.28229534 0.31289016 0.02121841 65.78495017 0.31067062 0.02106106 66.41326870 0.30793970 0.02086757 66.91592352 0.30578899 0.02071529 67.41857835 0.30366786 0.02056519 67.92123317 0.30157570 0.02041721 68.42388800 0.29951192 0.02027132 68.92654282 0.29747596 0.02012747 69.42919764 0.29546726 0.01998563 70.05751618 0.29299390 0.01981107 70.56017100 0.29104457 0.01967358 71.06282582 0.28912080 0.01953795 71.69114435 0.28675126 0.01937100 72.19379918 0.28488318 0.01923946 72.82211771 0.28258175 0.01907749 73.32477253 0.28076699 0.01894984 73.95309107 0.27853079 0.01879263 74.45574589 0.27676711 0.01866871 75.08406442 0.27459341 0.01851606 75.58671925 0.27287869 0.01839571 76.21503778 0.27076492 0.01824743 76.84335631 0.26868338 0.01810149 77.34601113 0.26704087 0.01798639 77.97432966 0.26501553 0.01784454 78.60264819 0.26302043 0.01770489 79.23096672 0.26105491 0.01756739 79.85928525 0.25911831 0.01743198 80.36194008 0.25758944 0.01732513 80.99025861 0.25570332 0.01719338 81.61857714 0.25384440 0.01706360 82.24689567 0.25201210 0.01693575 82.87521420 0.25020586 0.01680978 83.62919644 0.24807197 0.01666105 84.25751497 0.24632112 0.01653908 84.88583350 0.24459461 0.01641887 85.51415203 0.24289195 0.01630038 86.14247056 0.24121263 0.01618358 86.89645280 0.23922761 0.01604558 87.52477133 0.23759801 0.01593235 88.15308986 0.23599028 0.01582070 88.90707210 0.23408927 0.01568875 89.53539063 0.23252815 0.01558045 90.28937286 0.23068184 0.01545243 90.91769139 0.22916532 0.01534733 91.67167363 0.22737141 0.01522306 92.42565587 0.22560513 0.01510078 93.05397440 0.22415389 0.01500036 93.80795664 0.22243666 0.01488159 94.56193887 0.22074533 0.01476467 95.19025740 0.21935526 0.01466863 95.94423964 0.21770992 0.01455500 96.69822188 0.21608887 0.01444310 97.45220411 0.21449160 0.01433290 98.20618635 0.21291757 0.01422436 98.96016859 0.21136629 0.01411744 99.71415082 0.20983726 0.01401210 100.46813306 0.20833002 0.01390832 101.34777900 0.20659849 0.01378915 102.10176124 0.20513688 0.01368861 102.85574348 0.20369564 0.01358951 103.60972572 0.20227434 0.01349183 104.48937166 0.20064083 0.01337962 105.24335390 0.19926136 0.01328491 106.12299984 0.19767556 0.01317608 106.87698208 0.19633610 0.01308420 107.75662802 0.19479596 0.01297861 108.51061025 0.19349480 0.01288944 109.39025620 0.19199839 0.01278694 110.26990214 0.19052476 0.01268604 111.14954808 0.18907340 0.01258672 111.90353032 0.18784672 0.01250281 112.78317626 0.18643539 0.01240631 113.66282221 0.18504494 0.01231128 114.54246815 0.18367491 0.01221769 115.42211409 0.18232485 0.01212550 116.30176004 0.18099433 0.01203469 117.18140598 0.17968294 0.01194522 118.18671563 0.17820709 0.01184458 119.06636157 0.17693531 0.01175789 119.94600751 0.17568141 0.01167246 120.95131716 0.17426979 0.01157632 121.83096311 0.17305296 0.01149349 122.83627276 0.17168276 0.01140025 123.71591870 0.17050138 0.01131990 124.72122835 0.16917082 0.01122944 125.60087429 0.16802336 0.01115145 126.60618394 0.16673075 0.01106364 127.61149359 0.16545771 0.01097720 128.61680324 0.16420382 0.01089209 129.62211289 0.16296864 0.01080828 130.62742254 0.16175175 0.01072575 131.63273219 0.16055276 0.01064447 132.63804183 0.15937128 0.01056440 133.64335148 0.15820693 0.01048553 134.64866113 0.15705933 0.01040782 135.65397078 0.15592814 0.01033125 136.78494414 0.15467471 0.01024643 137.79025379 0.15357722 0.01017220 138.92122714 0.15236088 0.01008996 139.92653679 0.15129562 0.01001797 141.05751015 0.15011474 0.00993819 142.06281980 0.14908032 0.00986833 143.19379315 0.14793338 0.00979089 144.32476651 0.14680382 0.00971466 145.45573986 0.14569125 0.00963961 146.58671322 0.14459529 0.00956570 147.71768657 0.14351558 0.00949291 148.84865993 0.14245176 0.00942122 149.97963328 0.14140347 0.00935060 151.11060664 0.14037039 0.00928103 152.24157999 0.13935219 0.00921248 153.49821705 0.13823792 0.00913749 154.62919041 0.13725009 0.00907103 155.88582747 0.13616882 0.00899831 157.01680083 0.13521003 0.00893385 158.27343789 0.13416031 0.00886330 159.53007495 0.13312666 0.00879385 160.66104830 0.13220980 0.00873227 161.91768537 0.13120566 0.00866485 163.17432243 0.13021656 0.00859846 164.43095949 0.12924216 0.00853307 165.68759655 0.12828214 0.00846867 167.06989732 0.12724234 0.00839894 168.32653438 0.12631150 0.00833654 169.58317144 0.12539408 0.00827506 170.96547221 0.12440010 0.00820846 172.22210927 0.12350996 0.00814884 173.60441004 0.12254531 0.00808424 174.86104710 0.12168126 0.00802640 176.24334787 0.12074468 0.00796372 177.62564863 0.11982232 0.00790202 179.00794940 0.11891385 0.00784125 180.39025017 0.11801897 0.00778142 181.77255094 0.11713737 0.00772248 183.15485170 0.11626877 0.00766444 184.66281618 0.11533569 0.00760210 186.04511695 0.11449335 0.00754583 187.42741771 0.11366315 0.00749040 188.93538219 0.11277102 0.00743084 190.31768295 0.11196537 0.00737707 191.82564743 0.11109944 0.00731929 193.33361190 0.11024672 0.00726241 194.84157638 0.10940691 0.00720640 196.34954085 0.10857974 0.00715125 197.85750532 0.10776490 0.00709694 199.36546980 0.10696214 0.00704344 200.87343427 0.10617118 0.00699074 202.50706245 0.10532733 0.00693453 204.01502692 0.10456015 0.00688345 205.64865510 0.10374149 0.00682894 207.15661958 0.10299703 0.00677939 208.79024776 0.10220244 0.00672651 210.42387594 0.10141995 0.00667445 212.05750412 0.10064929 0.00662319 213.69113230 0.09989020 0.00657270 215.32476048 0.09914241 0.00652298 216.95838866 0.09840567 0.00647401 218.59201684 0.09767976 0.00642577 220.35130872 0.09690983 0.00637461 221.98493690 0.09620562 0.00632783 223.74422879 0.09545856 0.00627821 225.50352067 0.09472295 0.00622936 227.26281256 0.09399853 0.00618127 229.02210445 0.09328507 0.00613391 230.78139633 0.09258230 0.00608727 232.54068822 0.09188999 0.00604133 234.29998010 0.09120792 0.00599609 236.18493570 0.09048822 0.00594835 237.94422758 0.08982663 0.00590448 239.82918318 0.08912839 0.00585818 241.71413877 0.08844088 0.00581261 243.47343065 0.08780865 0.00577071 245.35838625 0.08714119 0.00572648 247.24334184 0.08648375 0.00568292 249.25396114 0.08579328 0.00563718 251.13891673 0.08515587 0.00559497