# omega total a= 1 L= 3 0.03141593 7.69883254 6.91314055 0.09424778 6.38084513 5.65798409 0.15707963 5.47992699 4.80006262 0.21991149 4.85166744 4.20031344 0.28274334 4.40525073 3.77191104 0.34557519 4.08003748 3.45742743 0.40840704 3.83625199 3.21942776 0.47123890 3.64793033 3.03356873 0.53407075 3.49799843 2.88387847 0.59690260 3.37508891 2.75973756 0.65973446 3.27153280 2.65398655 0.72256631 3.18209073 2.56173491 0.78539816 3.10314164 2.47960136 0.84823002 3.03215590 2.40522152 0.91106187 2.96734805 2.33692382 0.97389372 2.90744476 2.27351327 1.03672558 2.85152801 2.21412546 1.09955743 2.79892802 2.15812700 1.16238928 2.74914966 2.10504708 1.22522113 2.70182130 2.05453005 1.28805299 2.65665931 2.00630236 1.35088484 2.61344308 1.96014938 1.41371669 2.57199745 1.91589916 1.47654855 2.53218036 1.87341081 1.53938040 2.49387397 1.83256637 1.60221225 2.45697849 1.79326496 1.66504411 2.42140761 1.75541861 1.72787596 2.38708538 1.71894925 1.79070781 2.35394386 1.68378655 1.85353967 2.32192145 1.64986637 1.91637152 2.29096174 1.61712960 1.97920337 2.26101254 1.58552133 2.04203522 2.23202530 1.55499023 2.10486708 2.20395459 1.52548806 2.16769893 2.17675772 1.49696934 2.23053078 2.15039450 1.46939108 2.29336264 2.12482697 1.44271254 2.35619449 2.10001925 1.41689505 2.41902634 2.07593737 1.39190189 2.48185820 2.05254917 1.36769817 2.54469005 2.02982415 1.34425067 2.60752190 2.00773341 1.32152780 2.67035376 1.98624956 1.29949949 2.73318561 1.96534659 1.27813712 2.79601746 1.94499987 1.25741342 2.85884931 1.92518601 1.23730245 2.92168117 1.90588284 1.21777948 2.98451302 1.88706932 1.19882096 3.04734487 1.86872549 1.18040448 3.11017673 1.85083241 1.16250865 3.17300858 1.83337210 1.14511312 3.23584043 1.81632751 1.12819849 3.29867229 1.79968243 1.11174624 3.36150414 1.78342150 1.09573876 3.42433599 1.76753008 1.08015922 3.48716785 1.75199432 1.06499158 3.54999970 1.73680101 1.05022055 3.61283155 1.72193761 1.03583152 3.67566340 1.70739220 1.02181056 3.73849526 1.69315343 1.00814435 3.80132711 1.67921049 0.99482020 3.86415896 1.66555312 0.98182595 3.92699082 1.65217150 0.96915002 3.98982267 1.63905631 0.95678130 4.05265452 1.62619865 0.94470921 4.11548638 1.61359003 0.93292358 4.17831823 1.60122235 0.92141472 4.24115008 1.58908788 0.91017334 4.30398194 1.57717923 0.89919054 4.36681379 1.56548935 0.88845781 4.42964564 1.55401148 0.87796699 4.49247749 1.54273917 0.86771025 4.55530935 1.53166625 0.85768009 4.61814120 1.52078679 0.84786932 4.68097305 1.51009514 0.83827105 4.74380491 1.49958586 0.82887864 4.80663676 1.48925374 0.81968574 4.86946861 1.47909380 0.81068625 4.93230047 1.46910123 0.80187429 4.99513232 1.45927143 0.79324424 5.05796417 1.44959997 0.78479066 5.12079603 1.44008260 0.77650836 5.18362788 1.43071525 0.76839232 5.24645973 1.42149395 0.76043772 5.30929158 1.41241495 0.75263991 5.37212344 1.40347457 0.74499442 5.43495529 1.39466933 0.73749695 5.49778714 1.38599581 0.73014336 5.56061900 1.37745077 0.72292963 5.62345085 1.36903105 0.71585192 5.68628270 1.36073362 0.70890652 5.74911456 1.35255553 0.70208983 5.81194641 1.34449395 0.69539841 5.87477826 1.33654615 0.68882891 5.93761012 1.32870948 0.68237810 6.00044197 1.32098137 0.67604289 6.06327382 1.31335936 0.66982025 6.12610567 1.30584104 0.66370729 6.18893753 1.29842411 0.65770120 6.25176938 1.29110630 0.65179927 6.31460123 1.28388545 0.64599886 6.37743309 1.27675944 0.64029745 6.44026494 1.26972624 0.63469258 6.50309679 1.26278386 0.62918187 6.56592865 1.25593038 0.62376302 6.62876050 1.24916393 0.61843380 6.69159235 1.24248271 0.61319206 6.75442421 1.23588495 0.60803571 6.81725606 1.22936895 0.60296272 6.88008791 1.22293306 0.59797113 6.94291976 1.21657565 0.59305905 7.00575162 1.21029517 0.58822461 7.06858347 1.20409010 0.58346605 7.13141532 1.19795895 0.57878162 7.19424718 1.19190027 0.57416964 7.25707903 1.18591269 0.56962848 7.31991088 1.17999481 0.56515655 7.38274274 1.17414533 0.56075231 7.44557459 1.16836295 0.55641428 7.50840644 1.16264641 0.55214099 7.57123830 1.15699449 0.54793105 7.63407015 1.15140598 0.54378307 7.69690200 1.14587974 0.53969573 7.75973385 1.14041461 0.53566774 7.82256571 1.13500950 0.53169784 7.88539756 1.12966333 0.52778480 7.94822941 1.12437505 0.52392744 8.01106127 1.11914363 0.52012460 8.07389312 1.11396807 0.51637515 8.13672497 1.10884739 0.51267800 8.19955683 1.10378064 0.50903209 8.26238868 1.09876690 0.50543637 8.32522053 1.09380524 0.50188983 8.38805239 1.08889479 0.49839150 8.45088424 1.08403467 0.49494042 8.51371609 1.07922405 0.49153564 8.57654794 1.07446210 0.48817627 8.63937980 1.06974800 0.48486142 8.70221165 1.06508096 0.48159022 8.76504350 1.06046023 0.47836184 8.82787536 1.05588503 0.47517545 8.89070721 1.05135464 0.47203025 8.95353906 1.04686833 0.46892547 9.01637092 1.04242540 0.46586035 9.07920277 1.03802516 0.46283414 9.14203462 1.03366693 0.45984611 9.20486648 1.02935005 0.45689558 9.26769833 1.02507388 0.45398184 9.33053018 1.02083778 0.45110422 9.39336203 1.01664113 0.44826207 9.45619389 1.01248334 0.44545475 9.51902574 1.00836380 0.44268163 9.58185759 1.00428193 0.43994210 9.64468945 1.00023717 0.43723556 9.70752130 0.99622897 0.43456144 9.77035315 0.99225676 0.43191916 9.83318501 0.98832003 0.42930816 9.89601686 0.98441824 0.42672791 9.95884871 0.98055089 0.42417787 10.02168056 0.97671747 0.42165753 10.08451242 0.97291749 0.41916637 10.14734427 0.96915046 0.41670390 10.21017612 0.96541592 0.41426963 10.27300798 0.96171340 0.41186310 10.33583983 0.95804244 0.40948384 10.39867168 0.95440260 0.40713138 10.46150354 0.95079344 0.40480530 10.52433539 0.94721454 0.40250516 10.58716724 0.94366547 0.40023052 10.64999910 0.94014582 0.39798098 10.71283095 0.93665518 0.39575613 10.77566280 0.93319317 0.39355557 10.83849465 0.92975938 0.39137891 10.90132651 0.92635344 0.38922577 10.96415836 0.92297498 0.38709578 11.02699021 0.91962362 0.38498856 11.08982207 0.91629900 0.38290377 11.15265392 0.91300077 0.38084105 11.21548577 0.90972858 0.37880006 11.27831763 0.90648210 0.37678045 11.34114948 0.90326097 0.37478191 11.40398133 0.90006488 0.37280411 11.46681319 0.89689350 0.37084672 11.52964504 0.89374652 0.36890945 11.59247689 0.89062362 0.36699199 11.65530874 0.88752449 0.36509403 11.71814060 0.88444883 0.36321530 11.78097245 0.88139636 0.36135549 11.84380430 0.87836677 0.35951433 11.90663616 0.87535978 0.35769155 11.96946801 0.87237512 0.35588687 12.03229986 0.86941250 0.35410003 12.09513172 0.86647166 0.35233077 12.15796357 0.86355232 0.35057883 12.22079542 0.86065424 0.34884397 12.28362728 0.85777714 0.34712594 12.34645913 0.85492078 0.34542450 12.40929098 0.85208491 0.34373941 12.47212283 0.84926929 0.34207044 12.53495469 0.84647367 0.34041737 12.59778654 0.84369781 0.33877997 12.72345025 0.83820448 0.33555131 12.84911395 0.83278748 0.33238275 13.03760951 0.82480128 0.32773904 13.16327322 0.81956755 0.32471370 13.28893692 0.81440425 0.32174296 13.41460063 0.80930982 0.31882538 13.60309619 0.80179398 0.31454565 13.72875990 0.79686517 0.31175496 13.85442360 0.79200011 0.30901275 14.04291916 0.78481910 0.30498761 14.16858287 0.78010757 0.30236125 14.35707843 0.77315083 0.29850446 14.48274213 0.76858494 0.29598684 14.67123769 0.76184108 0.29228814 14.79690140 0.75741352 0.28987271 14.98539696 0.75087196 0.28632268 15.11106066 0.74657592 0.28400339 15.29955622 0.74022682 0.28059333 15.42521993 0.73605598 0.27836462 15.61371549 0.72989018 0.27508648 15.80221105 0.72383023 0.27188388 15.92787475 0.71984759 0.26978952 16.11637031 0.71395754 0.26670720 16.30486587 0.70816570 0.26369385 16.49336143 0.70246944 0.26074720 16.68185699 0.69686621 0.25786508 16.80752070 0.69318119 0.25597849 16.99601626 0.68772759 0.25319935 17.18451182 0.68236069 0.25047938 17.37300737 0.67707826 0.24781673 17.56150293 0.67187818 0.24520962 17.74999849 0.66675838 0.24265635 17.93849405 0.66171689 0.24015528 18.12698961 0.65675178 0.23770483 18.37831702 0.65024730 0.23451372 18.56681258 0.64545338 0.23217562 18.75530814 0.64072994 0.22988334 18.94380370 0.63607535 0.22763555 19.13229926 0.63148801 0.22543098 19.38362667 0.62547352 0.22255666 19.57212223 0.62103723 0.22044823 19.76061779 0.61666326 0.21837911 20.01194520 0.61092588 0.21567955 20.20044076 0.60669206 0.21369800 20.45176817 0.60113684 0.21111152 20.64026373 0.59703622 0.20921212 20.89159115 0.59165420 0.20673179 21.08008671 0.58768031 0.20490957 21.33141412 0.58246318 0.20252904 21.58274153 0.57733674 0.20020286 21.77123709 0.57354997 0.19849279 22.02256450 0.56857645 0.19625738 22.27389191 0.56368715 0.19407149 22.52521933 0.55887988 0.19193349 22.77654674 0.55415253 0.18984183 22.96504230 0.55065823 0.18830261 23.21636971 0.54606587 0.18628853 23.46769712 0.54154800 0.18431687 23.71902453 0.53710279 0.18238630 24.03318380 0.53164573 0.18002895 24.28451121 0.52735756 0.17818630 24.53583862 0.52313647 0.17638081 24.78716604 0.51898089 0.17461137 25.03849345 0.51488926 0.17287693 25.35265271 0.50986239 0.17075653 25.60398013 0.50590930 0.16909714 25.85530754 0.50201549 0.16746956 26.16946680 0.49722958 0.16547843 26.42079422 0.49346436 0.16391917 26.73495348 0.48883515 0.16201077 26.98628089 0.48519218 0.16051562 27.30044016 0.48071205 0.15868491 27.61459943 0.47631164 0.15689533 27.92875869 0.47198882 0.15514552 28.18008610 0.46858505 0.15377342 28.49424537 0.46439681 0.15209194 28.80840463 0.46028063 0.15044671 29.12256390 0.45623468 0.14883658 29.43672316 0.45225716 0.14726043 29.75088243 0.44834636 0.14571721 30.06504169 0.44450063 0.14420590 30.37920096 0.44071835 0.14272551 30.75619208 0.43626120 0.14098856 31.07035134 0.43261314 0.13957298 31.38451061 0.42902375 0.13818546 31.76150173 0.42479196 0.13655632 32.07566099 0.42132680 0.13522768 32.45265211 0.41724024 0.13366696 32.76681138 0.41389301 0.13239353 33.14380250 0.40994440 0.13089701 33.52079361 0.40606813 0.12943386 33.83495288 0.40289176 0.12823925 34.21194400 0.39914311 0.12683445 34.58893512 0.39546145 0.12546001 34.96592623 0.39184502 0.12411498 35.34291735 0.38829214 0.12279841 35.71990847 0.38480115 0.12150941 36.09689959 0.38137047 0.12024714 36.53672256 0.37744220 0.11880717 36.91371368 0.37413702 0.11760001 37.29070480 0.37088749 0.11641710 37.73052777 0.36716485 0.11506669 38.10751889 0.36403122 0.11393384 38.54734186 0.36044023 0.11264000 38.92433298 0.35741648 0.11155412 39.36415595 0.35395038 0.11031336 39.80397892 0.35054889 0.10909986 40.24380189 0.34721023 0.10791272 40.68362486 0.34393270 0.10675108 41.12344784 0.34071468 0.10561415 41.56327081 0.33755458 0.10450114 42.00309378 0.33445087 0.10341130 42.44291675 0.33140208 0.10234393 42.88273972 0.32840678 0.10129833 43.38539455 0.32504733 0.10012917 43.82521752 0.32216210 0.09912805 44.32787234 0.31892502 0.09800810 44.76769531 0.31614399 0.09704868 45.27035014 0.31302283 0.09597490 45.77300496 0.30996099 0.09492460 46.27565979 0.30695683 0.09389700 46.77831461 0.30400876 0.09289138 47.28096944 0.30111525 0.09190705 47.78362426 0.29827483 0.09094333 48.28627909 0.29548605 0.08999959 48.78893391 0.29274756 0.08907521 49.35442059 0.28972521 0.08805769 49.85707541 0.28708922 0.08717253 50.42256209 0.28417900 0.08619773 50.98804877 0.28132567 0.08524446 51.49070359 0.27883582 0.08441463 52.05619027 0.27608556 0.08350014 52.62167695 0.27338766 0.08260524 53.18716363 0.27074066 0.08172929 53.75265030 0.26814316 0.08087171 54.38096883 0.26531344 0.07993968 54.94645551 0.26281604 0.07911902 55.51194219 0.26036407 0.07831502 56.14026072 0.25769148 0.07744062 56.76857925 0.25507190 0.07658551 57.33406593 0.25275832 0.07583188 57.96238446 0.25023526 0.07501171 58.59070299 0.24776090 0.07420908 59.21902152 0.24533387 0.07342343 59.91017190 0.24271722 0.07257819 60.53849043 0.24038533 0.07182649 61.16680897 0.23809681 0.07109018 61.85795935 0.23562814 0.07029748 62.48627788 0.23342692 0.06959201 63.17742826 0.23105156 0.06883216 63.86857865 0.22872301 0.06808872 64.55972903 0.22643993 0.06736115 65.25087942 0.22420102 0.06664895 65.94202980 0.22200502 0.06595164 66.69601204 0.21965691 0.06520739 67.38716242 0.21754680 0.06453975 68.14114466 0.21528967 0.06382683 68.89512689 0.21307797 0.06312948 69.58627728 0.21108932 0.06250348 70.34025951 0.20896097 0.06183458 71.15707360 0.20670222 0.06112589 71.91105584 0.20465930 0.06048598 72.66503808 0.20265560 0.05985932 73.48185217 0.20052790 0.05919492 74.23583440 0.19860240 0.05859458 75.05264849 0.19655698 0.05795780 75.86946258 0.19455250 0.05733470 76.68627667 0.19258775 0.05672485 77.50309076 0.19066158 0.05612783 78.38273671 0.18862911 0.05549877 79.19955080 0.18677957 0.05492714 80.07919674 0.18482721 0.05432455 80.95884268 0.18291454 0.05373504 81.83848863 0.18104039 0.05315817 82.71813457 0.17920363 0.05259356 83.59778051 0.17740315 0.05204081 84.47742646 0.17563790 0.05149955 85.41990425 0.17378453 0.05093198 86.29955019 0.17208910 0.05041342 87.24202799 0.17030833 0.04986940 88.18450579 0.16856347 0.04933700 89.18981544 0.16674068 0.04878148 90.13229323 0.16506673 0.04827193 91.07477103 0.16342555 0.04777290 92.08008068 0.16171004 0.04725185 93.08539033 0.16002965 0.04674204 94.09069998 0.15838334 0.04624311 95.09600962 0.15677008 0.04575472 96.16415113 0.15509113 0.04524697 97.16946078 0.15354302 0.04477928 98.23760228 0.15193120 0.04429283 99.30574378 0.15035244 0.04381684 100.37388528 0.14880572 0.04335096 101.44202678 0.14729009 0.04289488 102.57300014 0.14571818 0.04242232 103.64114164 0.14426372 0.04198547 104.77211500 0.14275463 0.04153262 105.90308835 0.14127640 0.04108943 107.03406171 0.13982812 0.04065560 108.22786692 0.13833087 0.04020749 109.35884027 0.13694136 0.03979198 110.55264548 0.13550428 0.03936261 111.74645069 0.13409671 0.03894239 113.00308775 0.13264597 0.03850965 114.19689296 0.13129623 0.03810735 115.45353002 0.12990449 0.03769286 116.71016708 0.12854165 0.03728729 117.96680414 0.12720680 0.03689036 119.22344120 0.12589912 0.03650178 120.54291012 0.12455439 0.03610248 121.79954718 0.12329987 0.03573024 123.11901609 0.12200928 0.03534755 124.43848501 0.12074517 0.03497298 125.82078578 0.11944840 0.03458899 127.20308654 0.11817893 0.03421333 128.52255546 0.11699185 0.03386228 129.96768808 0.11571854 0.03348598 131.34998885 0.11452604 0.03313377 132.79512147 0.11330510 0.03277339 134.17742223 0.11216116 0.03243594 135.68538671 0.11093906 0.03207565 137.13051933 0.10979241 0.03173780 138.63848380 0.10862071 0.03139277 140.08361642 0.10752087 0.03106907 141.65441275 0.10635019 0.03072472 143.16237722 0.10524988 0.03040125 144.73317355 0.10412751 0.03007146 146.24113802 0.10307215 0.02976152 147.87476620 0.10195256 0.02943288 149.44556253 0.10089857 0.02912366 151.07919071 0.09982512 0.02880888 152.71281889 0.09877412 0.02850084 154.34644707 0.09774488 0.02819931 156.04290710 0.09669835 0.02789286 157.73936714 0.09567386 0.02759300 159.43582717 0.09467071 0.02729952 161.13228720 0.09368824 0.02701222 162.89157909 0.09269057 0.02672059 164.65087097 0.09171379 0.02643519 166.41016286 0.09075726 0.02615583 168.23228660 0.08978726 0.02587264 170.05441034 0.08883766 0.02559552 171.87653408 0.08790782 0.02532427 173.76148967 0.08696606 0.02504965 175.64644526 0.08604417 0.02478092 177.53140085 0.08514151 0.02451790 179.47918830 0.08422834 0.02425191 181.42697574 0.08333446 0.02399163 183.37476319 0.08245925 0.02373688 185.32255064 0.08160215 0.02348747 187.33316993 0.08073580 0.02323547 189.40662108 0.07986134 0.02298119 191.41724038 0.07903120 0.02273987 193.49069153 0.07819292 0.02249626 195.56414269 0.07737216 0.02225782 197.70042569 0.07654428 0.02201738 199.83670869 0.07573385 0.02178207 202.03582355 0.07491724 0.02154505 204.17210656 0.07414059 0.02131968 206.43405327 0.07333553 0.02108614 208.63316812 0.07256936 0.02086394 210.89511484 0.07179776 0.02064022 213.15706155 0.07104234 0.02042125 215.48184011 0.07028225 0.02020099 217.80661867 0.06953820 0.01998543 220.19422909 0.06879020 0.01976878 222.58183951 0.06805807 0.01955677 224.96944992 0.06734130 0.01934926 227.41989219 0.06662115 0.01914082 229.87033446 0.06591618 0.01893683 232.32077673 0.06522593 0.01873713 234.83405086 0.06453280 0.01853665 237.41015683 0.06383741 0.01833555 239.98626281 0.06315680 0.01813877 242.56236878 0.06249050 0.01794618 245.20130661 0.06182234 0.01775307 247.84024444 0.06116827 0.01756408 250.54201412 0.06051277 0.01737472 253.24378381 0.05987114 0.01718939 256.00838534 0.05922847 0.01700380 258.77298688 0.05859942 0.01682217 261.53758841 0.05798356 0.01664439 264.36502180 0.05736692 0.01646641 267.25528704 0.05674994 0.01628836 270.14555228 0.05614607 0.01611413 273.03581752 0.05555488 0.01594358 275.98891462 0.05496353 0.01577301 279.00484357 0.05437242 0.01560254 282.02077251 0.05379386 0.01543572 285.09953331 0.05321579 0.01526905 288.17829411 0.05264998 0.01510595 291.25705491 0.05209605 0.01494630 294.39864757 0.05154267 0.01478683 297.60307207 0.05099019 0.01462764 300.80749658 0.05044940 0.01447184 304.07475294 0.04990967 0.01431637 307.40484115 0.04937129 0.01416130 310.67209751 0.04885422 0.01401239 314.06501758 0.04832858 0.01386104