# omega total a= 1 L= 3 0.03141593 0.04655518 0.01959310 0.09424778 0.10670931 0.04917975 0.15707963 0.16601891 0.07819117 0.21991149 0.22402120 0.10630657 0.28274334 0.28030215 0.13324076 0.34557519 0.33458544 0.15881685 0.40840704 0.38662467 0.18287638 0.47123890 0.43626845 0.20533296 0.53407075 0.48345261 0.22616621 0.59690260 0.52817446 0.24540073 0.65973446 0.57048339 0.26309888 0.72256631 0.61046605 0.27934911 0.78539816 0.64823110 0.29425385 0.84823002 0.68389113 0.30791488 0.91106187 0.71756041 0.32043197 0.97389372 0.74935429 0.33190287 1.03672558 0.77937325 0.34241015 1.09955743 0.80771098 0.35202840 1.16238928 0.83445833 0.36082794 1.22522113 0.85970159 0.36887363 1.28805299 0.88352933 0.37623108 1.35088484 0.90603215 0.38296679 1.41371669 0.92729893 0.38914519 1.47654855 0.94741620 0.39482839 1.53938040 0.96646638 0.40007478 1.60221225 0.98452366 0.40493559 1.66504411 1.00165183 0.40945308 1.72787596 1.01790363 0.41365994 1.79070781 1.03331998 0.41757859 1.85353967 1.04793044 0.42122148 1.91637152 1.06175520 0.42459286 1.97920337 1.07480865 0.42769178 2.04203522 1.08710373 0.43051601 2.10486708 1.09865604 0.43306569 2.16769893 1.10948688 0.43534618 2.23053078 1.11962472 0.43736950 2.29336264 1.12910496 0.43915420 2.35619449 1.13796850 0.44072427 2.41902634 1.14625937 0.44210708 2.48185820 1.15402191 0.44333085 2.54469005 1.16129732 0.44442166 2.60752190 1.16812056 0.44540047 2.67035376 1.17451790 0.44628088 2.73318561 1.18050587 0.44706801 2.79601746 1.18609180 0.44775890 2.85884931 1.19127575 0.44834410 2.92168117 1.19605346 0.44881030 2.98451302 1.20041983 0.44914343 3.04734487 1.20437238 0.44933188 3.11017673 1.20791394 0.44936896 3.17300858 1.21105474 0.44925494 3.23584043 1.21381288 0.44899753 3.29867229 1.21621380 0.44861155 3.36150414 1.21828858 0.44811743 3.42433599 1.22007142 0.44753888 3.48716785 1.22159674 0.44690039 3.54999970 1.22289648 0.44622458 3.61283155 1.22399785 0.44553013 3.67566340 1.22492171 0.44483025 3.73849526 1.22568207 0.44413210 3.80132711 1.22628617 0.44343682 3.86415896 1.22673537 0.44274026 3.92699082 1.22702658 0.44203431 3.98982267 1.22715365 0.44130806 4.05265452 1.22710908 0.44054949 4.11548638 1.22688537 0.43974663 4.17831823 1.22647612 0.43888862 4.24115008 1.22587692 0.43796654 4.30398194 1.22508585 0.43697390 4.36681379 1.22410388 0.43590703 4.42964564 1.22293492 0.43476512 4.49247749 1.22158588 0.43355030 4.55530935 1.22006656 0.43226752 4.61814120 1.21838931 0.43092430 4.68097305 1.21656862 0.42953028 4.74380491 1.21462057 0.42809676 4.80663676 1.21256213 0.42663606 4.86946861 1.21041030 0.42516067 4.93230047 1.20818134 0.42368258 4.99513232 1.20588994 0.42221247 5.05796417 1.20354851 0.42075907 5.12079603 1.20116665 0.41932862 5.18362788 1.19875076 0.41792449 5.24645973 1.19630391 0.41654708 5.30929158 1.19382592 0.41519384 5.37212344 1.19131360 0.41385949 5.43495529 1.18876130 0.41253653 5.49778714 1.18616156 0.41121581 5.56061900 1.18350596 0.40988735 5.62345085 1.18078605 0.40854115 5.68628270 1.17799416 0.40716802 5.74911456 1.17512434 0.40576038 5.81194641 1.17217309 0.40431300 5.87477826 1.16913961 0.40282322 5.93761012 1.16602615 0.40129127 6.00044197 1.16283788 0.39972023 6.06327382 1.15958243 0.39811549 6.12610567 1.15626940 0.39648439 6.18893753 1.15290973 0.39483562 6.25176938 1.14951498 0.39317849 6.31460123 1.14609658 0.39152229 6.37743309 1.14266528 0.38987578 6.44026494 1.13923070 0.38824670 6.50309679 1.13580099 0.38664149 6.56592865 1.13238252 0.38506501 6.62876050 1.12897974 0.38352037 6.69159235 1.12559509 0.38200886 6.75442421 1.12222922 0.38053013 6.81725606 1.11888083 0.37908207 6.88008791 1.11554699 0.37766107 6.94291976 1.11222333 0.37626220 7.00575162 1.10890440 0.37487955 7.06858347 1.10558414 0.37350664 7.13141532 1.10225626 0.37213683 7.19424718 1.09891477 0.37076374 7.25707903 1.09555446 0.36938172 7.31991088 1.09217144 0.36798639 7.38274274 1.08876342 0.36657486 7.44557459 1.08533001 0.36514606 7.50840644 1.08187276 0.36370070 7.57123830 1.07839496 0.36224121 7.63407015 1.07490151 0.36077151 7.69690200 1.07139846 0.35929662 7.75973385 1.06789216 0.35782192 7.82256571 1.06438889 0.35635273 7.88539756 1.06089415 0.35489371 7.94822941 1.05741233 0.35344847 8.01106127 1.05394606 0.35201907 8.07389312 1.05049632 0.35060601 8.13672497 1.04706235 0.34920820 8.19955683 1.04364168 0.34782301 8.26238868 1.04023076 0.34644675 8.32522053 1.03682521 0.34507502 8.38805239 1.03342050 0.34370328 8.45088424 1.03001236 0.34232723 8.51371609 1.02659721 0.34094321 8.57654794 1.02317267 0.33954870 8.63937980 1.01973768 0.33814244 8.70221165 1.01629261 0.33672446 8.76504350 1.01283926 0.33529618 8.82787536 1.00938065 0.33386014 8.89070721 1.00592072 0.33241975 8.95353906 1.00246404 0.33097904 9.01637092 0.99901532 0.32954215 9.07920277 0.99557930 0.32811329 9.14203462 0.99216033 0.32669630 9.20486648 0.98876217 0.32529447 9.26769833 0.98538779 0.32391040 9.33053018 0.98203937 0.32254592 9.39336203 0.97871839 0.32120226 9.45619389 0.97542554 0.31987990 9.58185759 0.96892377 0.31729805 9.70752130 0.96252857 0.31479415 9.77035315 0.95936785 0.31356827 9.89601686 0.95311306 0.31116144 10.02168056 0.94693804 0.30880541 10.14734427 0.94083351 0.30649086 10.27300798 0.93479267 0.30421082 10.39867168 0.92881098 0.30196055 10.52433539 0.92288593 0.29973724 10.64999910 0.91701627 0.29753934 10.77566280 0.91120130 0.29536586 10.90132651 0.90544087 0.29321635 11.02699021 0.89973486 0.29109047 11.15265392 0.89408315 0.28898790 11.27831763 0.88848557 0.28690836 11.40398133 0.88294194 0.28485153 11.52964504 0.87745204 0.28281715 11.65530874 0.87201569 0.28080501 11.78097245 0.86663275 0.27881494 11.96946801 0.85865825 0.27587107 12.09513172 0.85340846 0.27393597 12.22079542 0.84821188 0.27202293 12.34645913 0.84306847 0.27013200 12.53495469 0.83545291 0.26733721 12.66061839 0.83044205 0.26550175 12.78628210 0.82548384 0.26368841 12.97477766 0.81814440 0.26100946 13.10044137 0.81331596 0.25925045 13.28893692 0.80616852 0.25665143 13.41460063 0.80146597 0.25494441 13.60309619 0.79450387 0.25242114 13.72875990 0.78992246 0.25076308 13.91725546 0.78313843 0.24831099 14.04291916 0.77867340 0.24669896 14.23141472 0.77206061 0.24431399 14.41991028 0.76554764 0.24196769 14.54557399 0.76126011 0.24042448 14.73406955 0.75490912 0.23814050 14.92256510 0.74865291 0.23589284 15.11106066 0.74248975 0.23368076 15.29955622 0.73641798 0.23150360 15.42521993 0.73242011 0.23007124 15.61371549 0.72649707 0.22795087 15.80221105 0.72066114 0.22586375 15.99070661 0.71491075 0.22380928 16.17920217 0.70924435 0.22178688 16.36769773 0.70366040 0.21979595 16.55619328 0.69815739 0.21783591 16.74468884 0.69273382 0.21590620 16.99601626 0.68562340 0.21337944 17.18451182 0.68037948 0.21151829 17.37300737 0.67521014 0.20968560 17.56150293 0.67011400 0.20788083 17.81283035 0.66343060 0.20551699 18.00132591 0.65849990 0.20377531 18.18982146 0.65363788 0.20205981 18.44114888 0.64725977 0.19981235 18.62964444 0.64255299 0.19815600 18.88097185 0.63637733 0.19598564 19.06946741 0.63181904 0.19438582 19.32079482 0.62583703 0.19228916 19.50929038 0.62142080 0.19074339 19.76061779 0.61562406 0.18871717 20.01194520 0.60992959 0.18672980 20.20044076 0.60572432 0.18526419 20.45176817 0.60020278 0.18334247 20.70309559 0.59477674 0.18145698 20.95442300 0.58944385 0.17960680 21.20575041 0.58420186 0.17779105 21.45707782 0.57904856 0.17600887 21.70840524 0.57398183 0.17425942 21.95973265 0.56899958 0.17254190 22.21106006 0.56409980 0.17085551 22.46238747 0.55928053 0.16919949 22.71371489 0.55453988 0.16757310 23.02787415 0.54872182 0.16558066 23.27920156 0.54415139 0.16401829 23.53052898 0.53965376 0.16248327 23.84468824 0.53413157 0.16060193 24.09601565 0.52979171 0.15912604 24.41017492 0.52446168 0.15731663 24.66150233 0.52027163 0.15589674 24.97566160 0.51512412 0.15415547 25.28982086 0.51007409 0.15245051 25.54114827 0.50610245 0.15111198 25.85530754 0.50122118 0.14946974 26.16946680 0.49643011 0.14786095 26.48362607 0.49172683 0.14628466 26.79778534 0.48710897 0.14473994 27.11194460 0.48257429 0.14322591 27.42610387 0.47812060 0.14174172 27.74026313 0.47374580 0.14028653 28.05442240 0.46944783 0.13885955 28.43141351 0.46438894 0.13718333 28.74557278 0.46025318 0.13581574 29.05973205 0.45618820 0.13447399 29.43672316 0.45140114 0.13289701 29.75088243 0.44748569 0.13160969 30.12787355 0.44287321 0.13009615 30.50486467 0.43835202 0.12861567 30.81902393 0.43465220 0.12740645 31.19601505 0.43029158 0.12598395 31.57300617 0.42601503 0.12459171 31.94999729 0.42182017 0.12322880 32.32698841 0.41770470 0.12189434 32.70397952 0.41366644 0.12058749 33.08097064 0.40970325 0.11930742 33.45796176 0.40581310 0.11805334 33.89778473 0.40136426 0.11662210 34.27477585 0.39762567 0.11542179 34.65176697 0.39395410 0.11424516 35.09158994 0.38975296 0.11290148 35.46858106 0.38622065 0.11177391 35.90840403 0.38217742 0.11048573 36.34822700 0.37821562 0.10922606 36.78804997 0.37433283 0.10799400 37.16504109 0.37106587 0.10695925 37.60486406 0.36732378 0.10577617 38.10751889 0.36313595 0.10445490 38.54734186 0.35954703 0.10332489 38.98716483 0.35602644 0.10221847 39.42698780 0.35257227 0.10113492 39.92964263 0.34870362 0.09992371 40.36946560 0.34538569 0.09888691 40.87212042 0.34166820 0.09772744 41.31194339 0.33847870 0.09673449 41.81459822 0.33490380 0.09562359 42.31725304 0.33140165 0.09453738 42.81990787 0.32797009 0.09347505 43.32256269 0.32460703 0.09243586 43.82521752 0.32131047 0.09141906 44.32787234 0.31807848 0.09042395 44.89335902 0.31451737 0.08932955 45.39601384 0.31141652 0.08837834 45.89866867 0.30837468 0.08744680 46.46415535 0.30502108 0.08642160 47.02964202 0.30173783 0.08541973 47.59512870 0.29852276 0.08444044 48.16061538 0.29537380 0.08348297 48.72610206 0.29228896 0.08254661 49.29158873 0.28926631 0.08163069 49.85707541 0.28630404 0.08073456 50.42256209 0.28340037 0.07985759 51.05088062 0.28024073 0.07890492 51.61636730 0.27745528 0.07806647 52.24468583 0.27442304 0.07715522 52.87300436 0.27145482 0.07626470 53.50132289 0.26854864 0.07539422 54.12964142 0.26570260 0.07454314 54.75795995 0.26291488 0.07371080 55.38627848 0.26018372 0.07289662 56.07742887 0.25724278 0.07202129 56.70574740 0.25462502 0.07124336 57.39689778 0.25180498 0.07040659 58.08804816 0.24904536 0.06958902 58.71636670 0.24658743 0.06886189 59.40751708 0.24393793 0.06807921 60.16149932 0.24111037 0.06724520 60.85264970 0.23857419 0.06649825 61.54380008 0.23608969 0.06576754 62.29778232 0.23343644 0.06498831 63.05176456 0.23084093 0.06422715 63.74291494 0.22851086 0.06354476 64.49689718 0.22602094 0.06281653 65.25087942 0.22358360 0.06210464 66.06769350 0.22100060 0.06135126 66.82167574 0.21866766 0.06067172 67.63848983 0.21619418 0.05995219 68.39247207 0.21395915 0.05930287 69.20928616 0.21158844 0.05861500 70.02610025 0.20926870 0.05794277 70.84291434 0.20699831 0.05728567 71.72256028 0.20460672 0.05659435 72.53937437 0.20243400 0.05596709 73.41902031 0.20014424 0.05530682 74.23583440 0.19806309 0.05470741 75.11548035 0.19586887 0.05407616 75.99512629 0.19372187 0.05345921 76.93760409 0.19147224 0.05281352 77.81725003 0.18941840 0.05222471 78.75972783 0.18726537 0.05160813 79.70220562 0.18515992 0.05100586 80.58185156 0.18323639 0.05045620 81.58716121 0.18108564 0.04984227 82.52963901 0.17911392 0.04928004 83.47211681 0.17718398 0.04873028 84.47742646 0.17516999 0.04815716 85.48273610 0.17320054 0.04759729 86.48804575 0.17127421 0.04705021 87.49335540 0.16938961 0.04651550 88.56149690 0.16743146 0.04596046 89.56680655 0.16562879 0.04544998 90.63494806 0.16375489 0.04491981 91.70308956 0.16192231 0.04440180 92.77123106 0.16012970 0.04389555 93.90220442 0.15827381 0.04337190 94.97034592 0.15655956 0.04288863 96.10131927 0.15478393 0.04238849 97.23229263 0.15304759 0.04189983 98.36326598 0.15134926 0.04142226 99.55707119 0.14959646 0.04092978 100.75087640 0.14788328 0.04044883 101.88184976 0.14629562 0.04000346 103.13848682 0.14457057 0.03951993 104.33229203 0.14296858 0.03907124 105.52609723 0.14140127 0.03863259 106.78273430 0.13978774 0.03818132 108.03937136 0.13821019 0.03774045 109.35884027 0.13659119 0.03728832 110.61547733 0.13508376 0.03686764 111.93494625 0.13353597 0.03643599 113.25441516 0.13202285 0.03601431 114.57388408 0.13054327 0.03560224 115.95618484 0.12902802 0.03518051 117.27565376 0.12761376 0.03478714 118.65795453 0.12616468 0.03438433 120.10308715 0.12468416 0.03397305 121.48538791 0.12329985 0.03358872 122.93052053 0.12188478 0.03319609 124.37565316 0.12050151 0.03281251 125.82078578 0.11914899 0.03243767 127.32875025 0.11776937 0.03205553 128.83671472 0.11642105 0.03168227 130.34467920 0.11510297 0.03131758 131.91547552 0.11376107 0.03094650 133.42344000 0.11250170 0.03059842 134.99423632 0.11121892 0.03024406 136.62786450 0.10991524 0.02988410 138.19866083 0.10868997 0.02954596 139.83228901 0.10744410 0.02920230 141.52874904 0.10617996 0.02885376 143.16237722 0.10499022 0.02852590 144.85883726 0.10378240 0.02819320 146.55529729 0.10260185 0.02786816 148.31458918 0.10140541 0.02753888 150.07388106 0.10023636 0.02721729 151.83317295 0.09909376 0.02690310 153.59246483 0.09797674 0.02659607 155.41458857 0.09684589 0.02628537 157.23671231 0.09574067 0.02598182 159.12166790 0.09462340 0.02567509 161.00662350 0.09353175 0.02537551 162.89157909 0.09246484 0.02508282 164.77653468 0.09142185 0.02479680 166.72432213 0.09036837 0.02450801 168.73494142 0.08930593 0.02421686 170.68272887 0.08830011 0.02394132 172.69334817 0.08728520 0.02366338 174.76679932 0.08626259 0.02338343 176.84025047 0.08526353 0.02311001 178.91370162 0.08428723 0.02284291 180.98715277 0.08333291 0.02258190 183.12343578 0.08237190 0.02231914 185.32255064 0.08140539 0.02205496 187.45883364 0.08048787 0.02180424 189.72078035 0.07953854 0.02154490 191.91989521 0.07863671 0.02129860 194.18184192 0.07773010 0.02105107 196.50662048 0.07681975 0.02080259 198.83139905 0.07593037 0.02055989 201.15617761 0.07506127 0.02032279 203.54378803 0.07418906 0.02008490 205.93139844 0.07333680 0.01985251 208.38184071 0.07248216 0.01961953 210.83228298 0.07164714 0.01939195 213.28272525 0.07083106 0.01916959 215.79599938 0.07001307 0.01894676 218.37210535 0.06919394 0.01872367 220.94821133 0.06839369 0.01850577 223.52431730 0.06761168 0.01829288 226.16325513 0.06682886 0.01807982 228.86502481 0.06604589 0.01786676 231.56679450 0.06528101 0.01765867 234.26856418 0.06453359 0.01745537 237.03316571 0.06378624 0.01725213 239.79776725 0.06305596 0.01705357 242.68803249 0.06231010 0.01685082 245.51546588 0.06159728 0.01665708 248.40573112 0.06088525 0.01646360 251.35882821 0.06017449 0.01627050 254.31192531 0.05948010 0.01608188 257.32785426 0.05878724 0.01589371 260.34378320 0.05811031 0.01570989 263.42254400 0.05743513 0.01552659 266.50130480 0.05677542 0.01534752 269.64289746 0.05611766 0.01516900 272.84732196 0.05546224 0.01499115 276.05174647 0.05482192 0.01481743 279.31900283 0.05418406 0.01464441 282.58625919 0.05356085 0.01447539 285.91634740 0.05294022 0.01430709 289.30926747 0.05232247 0.01413960 292.70218753 0.05171895 0.01397599 296.15793945 0.05111838 0.01381321 299.67652323 0.05052103 0.01365133 303.19510700 0.04993747 0.01349320 306.77652262 0.04935715 0.01333597 310.42077010 0.04878031 0.01317971 314.06501758 0.04821678 0.01302708