# omega total a= 1 L= 2 0.06283185 0.25814751 0.09411909 0.18849556 0.34382812 0.06779568 0.31415927 0.47269594 0.06988373 0.43982297 0.60192733 0.07502422 0.56548668 0.72768168 0.08148063 0.69115038 0.84965396 0.08943954 0.81681409 0.96305293 0.09632727 0.94247780 1.06888252 0.10294483 1.06814150 1.16718442 0.10945583 1.19380521 1.25669357 0.11500902 1.31946891 1.33775452 0.11974092 1.44513262 1.41087857 0.12385417 1.57079633 1.47634242 0.12734936 1.69646003 1.53454886 0.13029265 1.82212374 1.58607293 0.13283185 1.94778745 1.63141924 0.13503456 2.07345115 1.67097736 0.13688116 2.19911486 1.70515611 0.13837609 2.32477856 1.73439702 0.13955915 2.45044227 1.75913007 0.14047185 2.57610598 1.77976432 0.14115218 2.70176968 1.79669821 0.14164366 2.82743339 1.81031470 0.14199200 2.95309709 1.82096183 0.14223087 3.07876080 1.82894095 0.14237374 3.20442451 1.83451235 0.14241930 3.33008821 1.83790989 0.14236309 3.45575192 1.83935269 0.14220618 3.58141563 1.83904827 0.14195648 3.70707933 1.83719013 0.14162520 3.83274304 1.83395455 0.14122300 3.95840674 1.82949969 0.14075807 4.08407045 1.82396705 0.14023648 4.20973416 1.81748371 0.13966322 4.33539786 1.81016443 0.13904305 4.46106157 1.80211329 0.13838112 4.58672527 1.79342475 0.13768302 4.71238898 1.78418464 0.13695486 4.83805269 1.77447069 0.13620288 4.96371639 1.76435291 0.13543315 5.08938010 1.75389372 0.13465093 5.21504380 1.74314812 0.13386032 5.34070751 1.73216416 0.13306400 5.46637122 1.72098373 0.13226347 5.59203492 1.70964345 0.13145935 5.71769863 1.69817559 0.13065175 5.84336234 1.68660880 0.12984054 5.96902604 1.67496873 0.12902568 6.09468975 1.66327837 0.12820719 6.22035345 1.65155829 0.12738524 6.34601716 1.63982691 0.12656008 6.47168087 1.62810062 0.12573208 6.59734457 1.61639413 0.12490175 6.72300828 1.60472047 0.12406962 6.84867198 1.59309115 0.12323623 6.97433569 1.58151644 0.12240219 7.09999940 1.57000538 0.12156809 7.22566310 1.55856596 0.12073457 7.35132681 1.54720517 0.11990223 7.47699052 1.53592924 0.11907180 7.60265422 1.52474369 0.11824401 7.72831793 1.51365345 0.11741975 7.85398163 1.50266278 0.11659984 7.97964534 1.49177541 0.11578509 8.10530905 1.48099446 0.11497627 8.23097275 1.47032239 0.11417387 8.35663646 1.45976110 0.11337827 8.48230016 1.44931184 0.11258956 8.60796387 1.43897533 0.11180767 8.73362758 1.42875182 0.11103230 8.85929128 1.41864132 0.11026322 8.98495499 1.40864344 0.10950001 9.11061870 1.39875771 0.10874235 9.23628240 1.38898356 0.10799002 9.36194611 1.37932044 0.10724292 9.48760981 1.36976772 0.10650102 9.61327352 1.36032485 0.10576446 9.73893723 1.35099117 0.10503337 9.86460093 1.34176615 0.10430807 9.99026464 1.33264896 0.10358872 10.11592834 1.32363901 0.10287569 10.24159205 1.31473539 0.10216915 10.36725576 1.30593721 0.10146932 10.49291946 1.29724347 0.10077635 10.61858317 1.28865308 0.10009036 10.74424688 1.28016484 0.09941135 10.86991058 1.27177747 0.09873931 10.99557429 1.26348967 0.09807421 11.12123799 1.25530005 0.09741594 11.24690170 1.24720725 0.09676443 11.37256541 1.23920982 0.09611954 11.49822911 1.23130631 0.09548112 11.62389282 1.22349525 0.09484903 11.74955652 1.21577527 0.09422318 11.87522023 1.20814498 0.09360345 12.00088394 1.20060294 0.09298972 12.12654764 1.19314780 0.09238191 12.25221135 1.18577818 0.09177990 12.37787506 1.17849276 0.09118363 12.50353876 1.17129030 0.09059308 12.62920247 1.16416950 0.09000818 12.75486617 1.15712907 0.08942884 12.88052988 1.15016787 0.08885512 13.00619359 1.14328460 0.08828687 13.13185729 1.13647816 0.08772417 13.25752100 1.12974731 0.08716689 13.38318470 1.12309102 0.08661513 13.50884841 1.11650806 0.08606877 13.63451212 1.10999736 0.08552781 13.76017582 1.10355783 0.08499222 13.88583953 1.09718840 0.08446198 14.01150324 1.09088804 0.08393708 14.13716694 1.08465567 0.08341745 14.26283065 1.07849034 0.08290312 14.38849435 1.07239101 0.08239404 14.51415806 1.06635664 0.08189011 14.63982177 1.06038624 0.08139129 14.76548547 1.05447895 0.08089762 14.89114918 1.04863366 0.08040890 15.01681288 1.04284958 0.07992523 15.14247659 1.03712555 0.07944632 15.26814030 1.03146081 0.07897226 15.39380400 1.02585451 0.07850303 15.51946771 1.02030541 0.07803825 15.64513141 1.01481284 0.07757802 15.77079512 1.00937602 0.07712235 15.89645883 1.00399410 0.07667116 16.02212253 0.99866603 0.07622419 16.14778624 0.99339101 0.07578139 16.27344995 0.98816823 0.07534267 16.39911365 0.98299693 0.07490798 16.52477736 0.97787645 0.07447734 16.65044106 0.97280595 0.07405065 16.77610477 0.96778493 0.07362801 16.90176848 0.96281212 0.07320891 17.02743218 0.95788772 0.07279407 17.15309589 0.95301023 0.07238273 17.27875959 0.94817970 0.07197547 17.40442330 0.94339497 0.07157181 17.53008701 0.93865576 0.07117203 17.65575071 0.93396148 0.07077610 17.78141442 0.92931141 0.07038390 17.90707813 0.92470508 0.06999552 18.03274183 0.92014196 0.06961097 18.15840554 0.91562149 0.06923021 18.28406924 0.91114317 0.06885328 18.40973295 0.90670643 0.06848015 18.53539666 0.90231080 0.06811083 18.66106036 0.89795571 0.06774527 18.78672407 0.89364070 0.06738349 18.91238777 0.88936523 0.06702544 19.03805148 0.88512882 0.06667112 19.16371519 0.88093094 0.06632046 19.28937889 0.87677110 0.06597344 19.41504260 0.87264880 0.06563001 19.54070631 0.86856355 0.06529013 19.66637001 0.86451485 0.06495373 19.79203372 0.86050221 0.06462075 19.91769742 0.85652513 0.06429114 20.04336113 0.85258320 0.06396488 20.16902484 0.84867582 0.06364181 20.29468854 0.84480264 0.06332195 20.42035225 0.84096312 0.06300518 20.54601595 0.83715685 0.06269148 20.67167966 0.83338331 0.06238072 20.79734337 0.82964215 0.06207291 20.92300707 0.82593286 0.06176792 21.04867078 0.82225506 0.06146573 21.17433449 0.81860830 0.06116626 21.29999819 0.81499217 0.06086946 21.42566190 0.81140627 0.06057525 21.55132560 0.80785019 0.06028359 21.67698931 0.80432359 0.05999444 21.80265302 0.80082603 0.05970773 21.92831672 0.79735715 0.05942339 22.05398043 0.79391663 0.05914144 22.17964413 0.79050405 0.05886176 22.30530784 0.78711915 0.05858439 22.43097155 0.78376153 0.05830926 22.55663525 0.78043087 0.05803631 22.68229896 0.77712686 0.05776555 22.80796267 0.77384913 0.05749689 22.93362637 0.77059741 0.05723034 23.05929008 0.76737145 0.05696592 23.18495378 0.76417093 0.05670359 23.31061749 0.76099551 0.05644328 23.43628120 0.75784500 0.05618505 23.56194490 0.75471906 0.05592883 23.68760861 0.75161740 0.05567459 23.81327231 0.74853976 0.05542232 23.93893602 0.74548586 0.05517200 24.06459973 0.74245567 0.05492379 24.19026343 0.73944856 0.05467737 24.31592714 0.73646441 0.05443283 24.44159084 0.73350334 0.05419048 24.56725455 0.73056453 0.05394981 24.69291826 0.72764813 0.05371113 24.81858196 0.72475386 0.05347440 24.94424567 0.72188127 0.05323943 25.06990938 0.71903052 0.05300652 25.19557308 0.71620092 0.05277526 25.44690049 0.71060527 0.05231853 25.57256420 0.70783862 0.05209289 25.82389161 0.70236669 0.05164706 25.94955532 0.69966106 0.05142692 26.20088273 0.69430909 0.05099179 26.32654644 0.69166251 0.05077691 26.57787385 0.68642687 0.05035225 26.82920126 0.68126685 0.04993444 26.95486497 0.67871469 0.04972804 27.20619238 0.67366516 0.04932024 27.45751979 0.66868736 0.04891888 27.58318350 0.66622494 0.04872061 27.83451091 0.66135208 0.04832874 28.08583832 0.65654743 0.04794303 28.21150203 0.65417025 0.04775244 28.46282944 0.64946528 0.04737566 28.71415685 0.64482512 0.04700470 28.96548427 0.64024848 0.04663940 29.09114797 0.63798356 0.04645882 29.34247538 0.63349980 0.04610175 29.59380280 0.62907646 0.04575004 29.84513021 0.62471232 0.04540351 30.09645762 0.62040625 0.04506208 30.34778503 0.61615712 0.04472563 30.47344874 0.61405355 0.04455922 30.72477615 0.60988778 0.04423000 30.97610356 0.60577625 0.04390548 31.22743098 0.60171794 0.04358554 31.47875839 0.59771185 0.04327009 31.73008580 0.59375700 0.04295904 31.98141321 0.58985242 0.04265227 32.23274063 0.58599722 0.04234971 32.48406804 0.58219046 0.04205128 32.73539545 0.57843127 0.04175687 32.98672286 0.57471879 0.04146641 33.23805027 0.57105217 0.04117983 33.48937769 0.56743059 0.04089704 33.74070510 0.56385326 0.04061797 33.99203251 0.56031938 0.04034255 34.24335992 0.55682820 0.04007070 34.49468734 0.55337896 0.03980236 34.74601475 0.54997094 0.03953747 34.99734216 0.54660343 0.03927595 35.37433328 0.54162657 0.03888987 35.62566069 0.53835729 0.03863652 35.87698810 0.53512615 0.03838634 36.12831552 0.53193249 0.03813926 36.37964293 0.52877568 0.03789524 36.75663405 0.52410824 0.03753480 37.00796146 0.52104091 0.03729817 37.25928887 0.51800833 0.03706440 37.51061628 0.51500994 0.03683344 37.88760740 0.51057524 0.03649218 38.13893481 0.50765990 0.03626805 38.39026223 0.50477683 0.03604657 38.76725335 0.50051163 0.03571922 39.01858076 0.49770703 0.03550416 39.39557188 0.49355718 0.03518624 39.64689929 0.49082795 0.03497734 39.89822670 0.48812804 0.03477083 40.27521782 0.48413217 0.03446547 40.52654523 0.48150359 0.03426477 40.90353635 0.47761265 0.03396793 41.15486376 0.47505268 0.03377280 41.53185488 0.47126267 0.03348416 41.78318229 0.46876872 0.03329438 42.16017341 0.46507588 0.03301359 42.53716453 0.46143959 0.03273738 42.78849194 0.45904619 0.03255572 43.16548306 0.45550137 0.03228689 43.41681047 0.45316783 0.03211005 43.79380159 0.44971116 0.03184831 44.17079271 0.44630583 0.03159069 44.54778383 0.44295075 0.03133710 44.79911124 0.44074140 0.03117024 45.17610236 0.43746765 0.03092317 45.55309348 0.43424133 0.03067989 45.93008460 0.43106143 0.03044032 46.18141201 0.42896680 0.03028263 46.55840313 0.42586211 0.03004906 46.93539424 0.42280129 0.02981898 47.31238536 0.41978345 0.02959232 47.68937648 0.41680770 0.02936901 48.06636760 0.41387318 0.02914897 48.44335872 0.41097905 0.02893213 48.82034984 0.40812450 0.02871842 49.19734096 0.40530874 0.02850778 49.57433207 0.40253100 0.02830015 49.95132319 0.39979051 0.02809546 50.32831431 0.39708656 0.02789365 50.70530543 0.39441843 0.02769467 51.08229655 0.39178541 0.02749844 51.45928767 0.38918683 0.02730493 51.83627878 0.38662203 0.02711407 52.33893361 0.38325374 0.02686362 52.71592473 0.38076528 0.02667874 53.09291585 0.37830851 0.02649635 53.46990696 0.37588284 0.02631639 53.97256179 0.37269599 0.02608015 54.34955291 0.37034065 0.02590568 54.72654403 0.36801454 0.02573349 55.22919885 0.36495758 0.02550738 55.60618997 0.36269759 0.02534034 55.98318109 0.36046510 0.02517544 56.48583591 0.35753035 0.02495883 56.86282703 0.35536010 0.02479877 57.36548185 0.35250663 0.02458846 57.74247297 0.35039609 0.02443302 58.24512780 0.34762061 0.02422876 58.62211892 0.34556737 0.02407775 59.12477374 0.34286675 0.02387927 59.62742857 0.34020756 0.02368399 60.00441968 0.33823981 0.02353959 60.50707451 0.33565090 0.02334972 61.00972933 0.33310093 0.02316285 61.38672045 0.33121347 0.02302463 61.88937528 0.32872955 0.02284283 62.39203010 0.32628224 0.02266385 62.89468492 0.32387074 0.02248762 63.39733975 0.32149428 0.02231407 63.89999457 0.31915211 0.02214314 64.40264940 0.31684349 0.02197478 64.77964052 0.31513362 0.02185016 65.28229534 0.31288202 0.02168616 65.78495017 0.31066207 0.02152457 66.41326870 0.30793064 0.02132589 66.91592352 0.30577951 0.02116954 67.41857835 0.30365796 0.02101545 67.92123317 0.30156537 0.02086355 68.42388800 0.29950117 0.02071381 68.92654282 0.29746479 0.02056618 69.42919764 0.29545566 0.02042061 70.05751618 0.29298175 0.02024150 70.56017100 0.29103200 0.02010043 71.06282582 0.28910780 0.01996130 71.69114435 0.28673772 0.01979004 72.19379918 0.28486921 0.01965511 72.82211771 0.28256724 0.01948899 73.32477253 0.28075205 0.01935808 73.95309107 0.27851532 0.01919687 74.45574589 0.27675121 0.01906981 75.08406442 0.27457698 0.01891331 75.58671925 0.27286184 0.01878992 76.21503778 0.27074755 0.01863792 76.84335631 0.26866549 0.01848833 77.34601113 0.26702257 0.01837036 77.97432966 0.26499671 0.01822499 78.60264819 0.26300111 0.01808187 79.23096672 0.26103508 0.01794097 79.85928525 0.25909799 0.01780223 80.36194008 0.25756871 0.01769276 80.99025861 0.25568211 0.01755779 81.61857714 0.25382271 0.01742484 82.24689567 0.25198993 0.01729388 82.87521420 0.25018321 0.01716485 83.62919644 0.24804876 0.01701252 84.25751497 0.24629745 0.01688761 84.88583350 0.24457048 0.01676451 85.51415203 0.24286737 0.01664318 86.14247056 0.24118761 0.01652358 86.89645280 0.23920206 0.01638229 87.52477133 0.23757203 0.01626638 88.15308986 0.23596388 0.01615207 88.90707210 0.23406236 0.01601700 89.53539063 0.23250083 0.01590614 90.28937286 0.23065404 0.01577511 90.91769139 0.22913712 0.01566754 91.67167363 0.22734273 0.01554037 92.42565587 0.22557600 0.01541523 93.05397440 0.22412438 0.01531247 93.80795664 0.22240671 0.01519094 94.56193887 0.22071494 0.01507131 95.19025740 0.21932451 0.01497304 95.94423964 0.21767875 0.01485678 96.69822188 0.21605729 0.01474231 97.45220411 0.21445961 0.01462958 98.20618635 0.21288519 0.01451855 98.96016859 0.21133352 0.01440918 99.71415082 0.20980412 0.01430144 100.46813306 0.20829651 0.01419529 101.34777900 0.20656456 0.01407341 102.10176124 0.20510260 0.01397059 102.85574348 0.20366101 0.01386925 103.60972572 0.20223938 0.01376936 104.48937166 0.20060548 0.01365463 105.24335390 0.19922569 0.01355778 106.12299984 0.19763953 0.01344651 106.87698208 0.19629977 0.01335257 107.75662802 0.19475929 0.01324462 108.51061025 0.19345784 0.01315346 109.39025620 0.19196110 0.01304867 110.26990214 0.19048716 0.01294553 111.14954808 0.18903549 0.01284400 111.90353032 0.18780855 0.01275823 112.78317626 0.18639694 0.01265959 113.66282221 0.18500621 0.01256247 114.54246815 0.18363590 0.01246681 115.42211409 0.18228558 0.01237260 116.30176004 0.18095481 0.01227979 117.18140598 0.17964317 0.01218836 118.18671563 0.17816705 0.01208551 119.06636157 0.17689504 0.01199693 119.94600751 0.17564092 0.01190963 120.95131716 0.17422905 0.01181140 121.83096311 0.17301201 0.01172676 122.83627276 0.17164159 0.01163150 123.71591870 0.17046002 0.01154940 124.72122835 0.16912925 0.01145698 125.60087429 0.16798162 0.01137731 126.60618394 0.16668881 0.01128760 127.61149359 0.16541559 0.01119929 128.61680324 0.16416152 0.01111235 129.62211289 0.16292617 0.01102674 130.62742254 0.16170913 0.01094244 131.63273219 0.16050999 0.01085941 132.63804183 0.15932836 0.01077763 133.64335148 0.15816387 0.01069707 134.64866113 0.15701614 0.01061770 135.65397078 0.15588482 0.01053949 136.78494414 0.15463127 0.01045287 137.79025379 0.15353367 0.01037706 138.92122714 0.15231721 0.01029307 139.92653679 0.15125186 0.01021955 141.05751015 0.15007088 0.01013807 142.06281980 0.14903637 0.01006673 143.19379315 0.14788934 0.00998766 144.32476651 0.14675970 0.00990982 145.45573986 0.14564706 0.00983318 146.58671322 0.14455104 0.00975771 147.71768657 0.14347126 0.00968339 148.84865993 0.14240738 0.00961019 149.97963328 0.14135905 0.00953808 151.11060664 0.14032593 0.00946705 152.24157999 0.13930769 0.00939707 153.49821705 0.13819338 0.00932051 154.62919041 0.13720552 0.00925266 155.88582747 0.13612422 0.00917842 157.01680083 0.13516542 0.00911261 158.27343789 0.13411569 0.00904059 159.53007495 0.13308203 0.00896969 160.66104830 0.13216517 0.00890683 161.91768537 0.13116103 0.00883800 163.17432243 0.13017194 0.00877023 164.43095949 0.12919755 0.00870348 165.68759655 0.12823754 0.00863775 167.06989732 0.12719777 0.00856657 168.32653438 0.12626695 0.00850287 169.58317144 0.12534956 0.00844012 170.96547221 0.12435561 0.00837214 172.22210927 0.12346551 0.00831129 173.60441004 0.12250091 0.00824536 174.86104710 0.12163691 0.00818633 176.24334787 0.12070038 0.00812235 177.62564863 0.11977807 0.00805937 179.00794940 0.11886967 0.00799736 180.39025017 0.11797485 0.00793629 181.77255094 0.11709332 0.00787615 183.15485170 0.11622479 0.00781691 184.66281618 0.11529179 0.00775329 186.04511695 0.11444952 0.00769587 187.42741771 0.11361940 0.00763930 188.93538219 0.11272736 0.00757852 190.31768295 0.11192180 0.00752365 191.82564743 0.11105596 0.00746469 193.33361190 0.11020334 0.00740664 194.84157638 0.10936364 0.00734949 196.34954085 0.10853656 0.00729321 197.85750532 0.10772183 0.00723779 199.36546980 0.10691918 0.00718320 200.87343427 0.10612833 0.00712943 202.50706245 0.10528460 0.00707208 204.01502692 0.10451753 0.00701995 205.64865510 0.10369899 0.00696434 207.15661958 0.10295465 0.00691378 208.79024776 0.10216019 0.00685982 210.42387594 0.10137783 0.00680670 212.05750412 0.10060730 0.00675440 213.69113230 0.09984834 0.00670290 215.32476048 0.09910068 0.00665217 216.95838866 0.09836408 0.00660220 218.59201684 0.09763830 0.00655298 220.35130872 0.09686852 0.00650079 221.98493690 0.09616445 0.00645306 223.74422879 0.09541754 0.00640244 225.50352067 0.09468208 0.00635260 227.26281256 0.09395781 0.00630353 229.02210445 0.09324450 0.00625522 230.78139633 0.09254188 0.00620764 232.54068822 0.09184973 0.00616078 234.29998010 0.09116781 0.00611462 236.18493570 0.09044828 0.00606592 237.94422758 0.08978684 0.00602116 239.82918318 0.08908876 0.00597394 241.71413877 0.08840141 0.00592745 243.47343065 0.08776935 0.00588470 245.35838625 0.08710205 0.00583958 247.24334184 0.08644477 0.00579515 249.25396114 0.08575448 0.00574849 251.13891673 0.08511724 0.00570543