# omega total a= 1 L= 2 0.06283185 0.22140968 0.04835301 0.18849556 0.35776429 0.03349049 0.31415927 0.53880651 0.05176265 0.43982297 0.68511349 0.05364904 0.56548668 0.82483561 0.05698007 0.69115038 0.95475827 0.05990050 0.81681409 1.07908859 0.06530426 0.94247780 1.19439771 0.07121541 1.06814150 1.29900752 0.07658939 1.19380521 1.39403106 0.08203708 1.31946891 1.47885857 0.08695624 1.44513262 1.55342773 0.09104085 1.57079633 1.61872301 0.09456791 1.69646003 1.67555667 0.09767831 1.82212374 1.72456968 0.10039959 1.94778745 1.76645980 0.10279062 2.07345115 1.80199346 0.10495236 2.19911486 1.83180154 0.10691394 2.32477856 1.85638572 0.10864648 2.45044227 1.87622443 0.11013100 2.57610598 1.89182910 0.11139373 2.70176968 1.90371608 0.11248846 2.82743339 1.91234761 0.11345835 2.95309709 1.91810605 0.11431834 3.07876080 1.92131020 0.11506495 3.20442451 1.92224323 0.11569385 3.33008821 1.92116732 0.11620836 3.45575192 1.91832530 0.11661823 3.58141563 1.91393736 0.11693484 3.70707933 1.90819928 0.11716768 3.83274304 1.90128415 0.11732383 3.95840674 1.89334566 0.11740913 4.08407045 1.88452121 0.11742942 4.20973416 1.87493351 0.11739066 4.33539786 1.86469116 0.11729833 4.46106157 1.85388949 0.11715689 4.58672527 1.84261215 0.11697003 4.71238898 1.83093335 0.11674134 4.83805269 1.81891986 0.11647493 4.96371639 1.80663218 0.11617555 5.08938010 1.79412514 0.11584837 5.21504380 1.78144766 0.11549831 5.34070751 1.76864265 0.11512946 5.46637122 1.75574711 0.11474481 5.59203492 1.74279273 0.11434632 5.71769863 1.72980643 0.11393503 5.84336234 1.71681103 0.11351125 5.96902604 1.70382618 0.11307503 6.09468975 1.69086882 0.11262629 6.22035345 1.67795358 0.11216481 6.34601716 1.66509322 0.11169047 6.47168087 1.65229909 0.11120337 6.59734457 1.63958131 0.11070384 6.72300828 1.62694900 0.11019250 6.84867198 1.61441048 0.10967028 6.97433569 1.60197329 0.10913835 7.09999940 1.58964417 0.10859802 7.22566310 1.57742890 0.10805054 7.35132681 1.56533242 0.10749713 7.47699052 1.55335869 0.10693874 7.60265422 1.54151082 0.10637620 7.72831793 1.52979144 0.10581032 7.85398163 1.51820229 0.10524163 7.97964534 1.50674470 0.10467063 8.10530905 1.49541954 0.10409777 8.23097275 1.48422759 0.10352367 8.35663646 1.47316923 0.10294886 8.48230016 1.46224447 0.10237377 8.60796387 1.45145332 0.10179900 8.73362758 1.44079549 0.10122506 8.85929128 1.43027047 0.10065240 8.98495499 1.41987709 0.10008108 9.11061870 1.40961436 0.09951139 9.23628240 1.39948069 0.09894321 9.36194611 1.38947488 0.09837678 9.48760981 1.37959503 0.09781188 9.61327352 1.36983930 0.09724832 9.73893723 1.36020619 0.09668628 9.86460093 1.35069355 0.09612540 9.99026464 1.34129973 0.09556577 10.11592834 1.33202296 0.09500736 10.24159205 1.32286176 0.09445042 10.36725576 1.31381423 0.09389484 10.49291946 1.30487897 0.09334094 10.61858317 1.29605447 0.09278893 10.74424688 1.28733930 0.09223910 10.86991058 1.27873197 0.09169167 10.99557429 1.27023110 0.09114696 11.12123799 1.26183527 0.09060524 11.24690170 1.25354302 0.09006674 11.37256541 1.24535293 0.08953173 11.49822911 1.23726366 0.08900049 11.62389282 1.22927356 0.08847308 11.74955652 1.22138123 0.08794971 11.87522023 1.21358503 0.08743041 12.00088394 1.20588341 0.08691522 12.12654764 1.19827486 0.08640424 12.25221135 1.19075781 0.08589746 12.37787506 1.18333059 0.08539478 12.50353876 1.17599168 0.08489621 12.62920247 1.16873957 0.08440171 12.75486617 1.16157260 0.08391113 12.88052988 1.15448938 0.08342450 13.00619359 1.14748839 0.08294170 13.13185729 1.14056817 0.08246269 13.25752100 1.13372752 0.08198753 13.38318470 1.12696491 0.08151608 13.50884841 1.12027913 0.08104838 13.63451212 1.11366882 0.08058436 13.76017582 1.10713276 0.08012401 13.88583953 1.10066993 0.07966749 14.01150324 1.09427893 0.07921460 14.13716694 1.08795879 0.07876549 14.26283065 1.08170835 0.07832014 14.38849435 1.07552659 0.07787862 14.51415806 1.06941227 0.07744080 14.63982177 1.06336438 0.07700672 14.76548547 1.05738202 0.07657648 14.89114918 1.05146401 0.07614995 15.01681288 1.04560957 0.07572729 15.14247659 1.03981741 0.07530827 15.26814030 1.03408669 0.07489296 15.39380400 1.02841657 0.07448143 15.51946771 1.02280588 0.07407349 15.64513141 1.01725378 0.07366916 15.77079512 1.01175945 0.07326849 15.89645883 1.00632180 0.07287130 16.02212253 1.00094003 0.07247760 16.14778624 0.99561344 0.07208749 16.27344995 0.99034084 0.07170066 16.39911365 0.98512154 0.07131719 16.52477736 0.97995491 0.07093718 16.65044106 0.97483971 0.07056025 16.77610477 0.96977556 0.07018665 16.90176848 0.96476152 0.06981624 17.02743218 0.95979670 0.06944885 17.15309589 0.95488067 0.06908469 17.27875959 0.95001241 0.06872348 17.40442330 0.94519132 0.06836528 17.53008701 0.94041676 0.06801008 17.65575071 0.93568797 0.06765778 17.78141442 0.93100430 0.06730836 17.90707813 0.92636519 0.06696186 18.03274183 0.92176991 0.06661817 18.15840554 0.91721787 0.06627728 18.28406924 0.91270848 0.06593917 18.40973295 0.90824114 0.06560383 18.53539666 0.90381529 0.06527123 18.66106036 0.89943037 0.06494137 18.78672407 0.89508576 0.06461417 18.91238777 0.89078103 0.06428969 19.03805148 0.88651555 0.06396785 19.16371519 0.88228886 0.06364867 19.28937889 0.87810042 0.06333213 19.41504260 0.87394975 0.06301819 19.54070631 0.86983636 0.06270688 19.66637001 0.86575974 0.06239814 19.79203372 0.86171948 0.06209199 19.91769742 0.85771505 0.06178840 20.04336113 0.85374599 0.06148732 20.16902484 0.84981189 0.06118879 20.29468854 0.84591224 0.06089271 20.42035225 0.84204670 0.06059917 20.54601595 0.83821475 0.06030805 20.67167966 0.83441597 0.06001936 20.79734337 0.83064997 0.05973308 20.92300707 0.82691631 0.05944918 21.04867078 0.82321457 0.05916762 21.17433449 0.81954437 0.05888839 21.29999819 0.81590530 0.05861145 21.42566190 0.81229695 0.05833677 21.55132560 0.80871895 0.05806433 21.67698931 0.80517092 0.05779410 21.80265302 0.80165246 0.05752603 21.92831672 0.79816321 0.05726010 22.05398043 0.79470282 0.05699630 22.17964413 0.79127092 0.05673457 22.30530784 0.78786716 0.05647491 22.43097155 0.78449120 0.05621729 22.55663525 0.78114269 0.05596166 22.68229896 0.77782132 0.05570803 22.80796267 0.77452674 0.05545634 22.93362637 0.77125865 0.05520661 23.05929008 0.76801672 0.05495878 23.18495378 0.76480066 0.05471286 23.31061749 0.76161015 0.05446880 23.43628120 0.75844493 0.05422662 23.56194490 0.75530467 0.05398628 23.68760861 0.75218911 0.05374777 23.81327231 0.74909797 0.05351109 23.93893602 0.74603098 0.05327621 24.06459973 0.74298785 0.05304311 24.19026343 0.73996835 0.05281181 24.31592714 0.73697221 0.05258228 24.44159084 0.73399915 0.05235450 24.56725455 0.73104897 0.05212848 24.69291826 0.72812136 0.05190419 24.81858196 0.72521615 0.05168165 24.94424567 0.72233302 0.05146080 25.06990938 0.71947180 0.05124168 25.19557308 0.71663223 0.05102425 25.44690049 0.71101712 0.05059445 25.57256420 0.70824115 0.05038208 25.82389161 0.70275122 0.04996225 25.94955532 0.70003686 0.04975481 26.20088273 0.69466821 0.04934476 26.32654644 0.69201354 0.04914214 26.57787385 0.68676239 0.04874163 26.82920126 0.68158755 0.04834734 26.95486497 0.67902825 0.04815250 27.20619238 0.67396490 0.04776733 27.45751979 0.66897397 0.04738809 27.58318350 0.66650520 0.04720067 27.83451091 0.66162009 0.04683009 28.08583832 0.65680373 0.04646515 28.21150203 0.65442088 0.04628474 28.46282944 0.64970500 0.04592800 28.71415685 0.64505441 0.04557657 28.96548427 0.64046779 0.04523033 29.09114797 0.63819807 0.04505912 29.34247538 0.63370498 0.04472044 29.59380280 0.62927273 0.04438667 29.84513021 0.62490008 0.04405769 30.09645762 0.62058586 0.04373338 30.34778503 0.61632893 0.04341365 30.47344874 0.61422160 0.04325546 30.72477615 0.61004853 0.04294240 30.97610356 0.60593002 0.04263367 31.22743098 0.60186502 0.04232917 31.47875839 0.59785253 0.04202882 31.73008580 0.59389154 0.04173252 31.98141321 0.58998110 0.04144019 32.23274063 0.58612027 0.04115175 32.48406804 0.58230813 0.04086712 32.73539545 0.57854377 0.04058623 32.98672286 0.57482635 0.04030901 33.23805027 0.57115499 0.04003537 33.48937769 0.56752887 0.03976526 33.74070510 0.56394719 0.03949861 33.99203251 0.56040914 0.03923535 34.24335992 0.55691396 0.03897541 34.49468734 0.55346089 0.03871874 34.74601475 0.55004920 0.03846528 34.99734216 0.54667816 0.03821497 35.37433328 0.54169629 0.03784528 35.62566069 0.53842385 0.03760259 35.87698810 0.53518967 0.03736286 36.12831552 0.53199310 0.03712604 36.37964293 0.52883350 0.03689207 36.75663405 0.52416209 0.03654636 37.00796146 0.52109225 0.03631931 37.25928887 0.51805727 0.03609495 37.51061628 0.51505658 0.03587323 37.88760740 0.51061860 0.03554551 38.13893481 0.50770118 0.03533020 38.39026223 0.50481614 0.03511738 38.76725335 0.50054812 0.03480273 39.01858076 0.49774173 0.03459595 39.39557188 0.49358935 0.03429018 39.64689929 0.49085852 0.03408920 39.89822670 0.48815709 0.03389048 40.27521782 0.48415905 0.03359655 40.52654523 0.48152911 0.03340331 40.90353635 0.47763622 0.03311743 41.15486376 0.47507503 0.03292945 41.53185488 0.47128329 0.03265132 41.78318229 0.46878825 0.03246840 42.16017341 0.46509386 0.03219770 42.53716453 0.46145613 0.03193134 42.78849194 0.45906183 0.03175611 43.16548306 0.45551574 0.03149674 43.41681047 0.45318139 0.03132608 43.79380159 0.44972359 0.03107344 44.17079271 0.44631721 0.03082471 44.54778383 0.44296115 0.03057981 44.79911124 0.44075120 0.03041863 45.17610236 0.43747660 0.03017992 45.55309348 0.43424949 0.02994482 45.93008460 0.43106887 0.02971326 46.18141201 0.42897379 0.02956080 46.55840313 0.42586848 0.02933494 46.93539424 0.42280709 0.02911242 47.31238536 0.41978873 0.02889315 47.68937648 0.41681251 0.02867708 48.06636760 0.41387756 0.02846412 48.44335872 0.41098305 0.02825423 48.82034984 0.40812816 0.02804732 49.19734096 0.40531210 0.02784335 49.57433207 0.40253409 0.02764225 49.95132319 0.39979338 0.02744397 50.32831431 0.39708923 0.02724843 50.70530543 0.39442093 0.02705560 51.08229655 0.39178778 0.02686542 51.45928767 0.38918909 0.02667783 51.83627878 0.38662421 0.02649278 52.33893361 0.38325585 0.02624991 52.71592473 0.38076737 0.02607060 53.09291585 0.37831060 0.02589366 53.46990696 0.37588494 0.02571907 53.97256179 0.37269815 0.02548982 54.34955291 0.37034287 0.02532049 54.72654403 0.36801684 0.02515336 55.22919885 0.36496002 0.02493384 55.60618997 0.36270015 0.02477165 55.98318109 0.36046778 0.02461151 56.48583591 0.35753323 0.02440113 56.86282703 0.35536314 0.02424564 57.36548185 0.35250991 0.02404132 57.74247297 0.35039956 0.02389029 58.24512780 0.34762434 0.02369178 58.62211892 0.34557131 0.02354501 59.12477374 0.34287099 0.02335207 59.62742857 0.34021212 0.02316222 60.00441968 0.33824460 0.02302181 60.50707451 0.33565603 0.02283717 61.00972933 0.33310640 0.02265543 61.38672045 0.33121921 0.02252097 61.88937528 0.32873565 0.02234412 62.39203010 0.32628871 0.02216998 62.89468492 0.32387759 0.02199849 63.39733975 0.32150152 0.02182960 63.89999457 0.31915974 0.02166324 64.40264940 0.31685153 0.02149935 64.77964052 0.31514196 0.02137803 65.28229534 0.31289077 0.02121835 65.78495017 0.31067123 0.02106101 66.41326870 0.30794032 0.02086754 66.91592352 0.30578961 0.02071526 67.41857835 0.30366848 0.02056516 67.92123317 0.30157632 0.02041719 68.42388800 0.29951255 0.02027131 68.92654282 0.29747659 0.02012747 69.42919764 0.29546789 0.01998562 70.05751618 0.29299452 0.01981107 70.56017100 0.29104520 0.01967359 71.06282582 0.28912143 0.01953797 71.69114435 0.28675188 0.01937102 72.19379918 0.28488380 0.01923948 72.82211771 0.28258237 0.01907751 73.32477253 0.28076761 0.01894987 73.95309107 0.27853141 0.01879266 74.45574589 0.27676772 0.01866875 75.08406442 0.27459402 0.01851610 75.58671925 0.27287929 0.01839575 76.21503778 0.27076552 0.01824747 76.84335631 0.26868398 0.01810154 77.34601113 0.26704147 0.01798645 77.97432966 0.26501612 0.01784460 78.60264819 0.26302102 0.01770495 79.23096672 0.26105550 0.01756744 79.85928525 0.25911890 0.01743204 80.36194008 0.25759001 0.01732519 80.99025861 0.25570389 0.01719345 81.61857714 0.25384497 0.01706367 82.24689567 0.25201267 0.01693582 82.87521420 0.25020642 0.01680985 83.62919644 0.24807253 0.01666112 84.25751497 0.24632167 0.01653915 84.88583350 0.24459516 0.01641894 85.51415203 0.24289249 0.01630046 86.14247056 0.24121317 0.01618365 86.89645280 0.23922814 0.01604566 87.52477133 0.23759853 0.01593243 88.15308986 0.23599080 0.01582078 88.90707210 0.23408978 0.01568883 89.53539063 0.23252865 0.01558053 90.28937286 0.23068234 0.01545251 90.91769139 0.22916582 0.01534741 91.67167363 0.22737190 0.01522314 92.42565587 0.22560561 0.01510086 93.05397440 0.22415437 0.01500044 93.80795664 0.22243714 0.01488167 94.56193887 0.22074580 0.01476475 95.19025740 0.21935572 0.01466871 95.94423964 0.21771037 0.01455508 96.69822188 0.21608932 0.01444318 97.45220411 0.21449204 0.01433298 98.20618635 0.21291801 0.01422444 98.96016859 0.21136672 0.01411752 99.71415082 0.20983769 0.01401218 100.46813306 0.20833044 0.01390839 101.34777900 0.20659891 0.01378922 102.10176124 0.20513729 0.01368868 102.85574348 0.20369605 0.01358959 103.60972572 0.20227474 0.01349191 104.48937166 0.20064122 0.01337970 105.24335390 0.19926174 0.01328499 106.12299984 0.19767594 0.01317616 106.87698208 0.19633647 0.01308428 107.75662802 0.19479634 0.01297869 108.51061025 0.19349516 0.01288951 109.39025620 0.19199875 0.01278701 110.26990214 0.19052512 0.01268612 111.14954808 0.18907375 0.01258679 111.90353032 0.18784706 0.01250288 112.78317626 0.18643573 0.01240638 113.66282221 0.18504528 0.01231135 114.54246815 0.18367524 0.01221776 115.42211409 0.18232518 0.01212557 116.30176004 0.18099466 0.01203476 117.18140598 0.17968326 0.01194529 118.18671563 0.17820740 0.01184465 119.06636157 0.17693562 0.01175796 119.94600751 0.17568171 0.01167253 120.95131716 0.17427009 0.01157639 121.83096311 0.17305325 0.01149356 122.83627276 0.17168305 0.01140032 123.71591870 0.17050166 0.01131997 124.72122835 0.16917110 0.01122950 125.60087429 0.16802364 0.01115152 126.60618394 0.16673102 0.01106371 127.61149359 0.16545798 0.01097726 128.61680324 0.16420408 0.01089215 129.62211289 0.16296889 0.01080835 130.62742254 0.16175200 0.01072581 131.63273219 0.16055301 0.01064453 132.63804183 0.15937153 0.01056446 133.64335148 0.15820717 0.01048559 134.64866113 0.15705957 0.01040788 135.65397078 0.15592837 0.01033131 136.78494414 0.15467494 0.01024649 137.79025379 0.15357745 0.01017226 138.92122714 0.15236110 0.01009002 139.92653679 0.15129584 0.01001803 141.05751015 0.15011495 0.00993824 142.06281980 0.14908053 0.00986838 143.19379315 0.14793358 0.00979095 144.32476651 0.14680402 0.00971472 145.45573986 0.14569145 0.00963966 146.58671322 0.14459549 0.00956575 147.71768657 0.14351577 0.00949296 148.84865993 0.14245194 0.00942127 149.97963328 0.14140366 0.00935065 151.11060664 0.14037057 0.00928108 152.24157999 0.13935237 0.00921253 153.49821705 0.13823809 0.00913754 154.62919041 0.13725026 0.00907108 155.88582747 0.13616898 0.00899836 157.01680083 0.13521019 0.00893390 158.27343789 0.13416047 0.00886335 159.53007495 0.13312682 0.00879390 160.66104830 0.13220995 0.00873232 161.91768537 0.13120582 0.00866490 163.17432243 0.13021671 0.00859851 164.43095949 0.12924231 0.00853312 165.68759655 0.12828228 0.00846872 167.06989732 0.12724248 0.00839899 168.32653438 0.12631164 0.00833659 169.58317144 0.12539422 0.00827510 170.96547221 0.12440023 0.00820850 172.22210927 0.12351009 0.00814888 173.60441004 0.12254544 0.00808429 174.86104710 0.12168139 0.00802645 176.24334787 0.12074480 0.00796377 177.62564863 0.11982244 0.00790206 179.00794940 0.11891397 0.00784130 180.39025017 0.11801908 0.00778146 181.77255094 0.11713749 0.00772253 183.15485170 0.11626888 0.00766448 184.66281618 0.11533580 0.00760214 186.04511695 0.11449346 0.00754587 187.42741771 0.11366325 0.00749044 188.93538219 0.11277112 0.00743088 190.31768295 0.11196547 0.00737711 191.82564743 0.11109954 0.00731933 193.33361190 0.11024682 0.00726245 194.84157638 0.10940701 0.00720644 196.34954085 0.10857983 0.00715129 197.85750532 0.10776499 0.00709697 199.36546980 0.10696223 0.00704348 200.87343427 0.10617127 0.00699078 202.50706245 0.10532742 0.00693457 204.01502692 0.10456024 0.00688348 205.64865510 0.10374157 0.00682898 207.15661958 0.10299711 0.00677942 208.79024776 0.10220252 0.00672654 210.42387594 0.10142003 0.00667448 212.05750412 0.10064937 0.00662322 213.69113230 0.09989027 0.00657274 215.32476048 0.09914248 0.00652302 216.95838866 0.09840575 0.00647405 218.59201684 0.09767983 0.00642580 220.35130872 0.09690989 0.00637464 221.98493690 0.09620569 0.00632786 223.74422879 0.09545862 0.00627824 225.50352067 0.09472301 0.00622939 227.26281256 0.09399860 0.00618130 229.02210445 0.09328513 0.00613394 230.78139633 0.09258236 0.00608730 232.54068822 0.09189005 0.00604136 234.29998010 0.09120798 0.00599612 236.18493570 0.09048828 0.00594838 237.94422758 0.08982669 0.00590451 239.82918318 0.08912845 0.00585821 241.71413877 0.08844093 0.00581264 243.47343065 0.08780871 0.00577074 245.35838625 0.08714124 0.00572651 247.24334184 0.08648380 0.00568295 249.25396114 0.08579333 0.00563721 251.13891673 0.08515592 0.00559500