# omega total a= 1 L= 3 0.03141593 0.18290427 0.13249656 0.09424778 0.33589514 0.23899522 0.15707963 0.43073294 0.29745575 0.21991149 0.48923965 0.32597911 0.28274334 0.53363523 0.34301944 0.34557519 0.57273352 0.35594380 0.40840704 0.60840609 0.36636265 0.47123890 0.64107010 0.37466715 0.53407075 0.67357352 0.38327118 0.59690260 0.70630764 0.39253856 0.65973446 0.73806458 0.40148892 0.72256631 0.76709483 0.40866959 0.78539816 0.79377844 0.41440100 0.84823002 0.81881267 0.41927234 0.91106187 0.84245736 0.42350487 0.97389372 0.86541099 0.42769441 1.03672558 0.88813480 0.43223380 1.09955743 0.91029263 0.43683401 1.16238928 0.93136017 0.44104334 1.22522113 0.95141988 0.44492695 1.28805299 0.97095958 0.44889506 1.35088484 0.99024255 0.45316237 1.41371669 1.00894665 0.45743707 1.47654855 1.02635840 0.46108617 1.53938040 1.04206247 0.46373113 1.60221225 1.05631883 0.46557855 1.66504411 1.06964524 0.46706149 1.72787596 1.08232337 0.46841142 1.79070781 1.09437252 0.46963592 1.85353967 1.10571220 0.47065848 1.91637152 1.11630198 0.47143569 1.97920337 1.12622534 0.47202781 2.04203522 1.13564070 0.47255739 2.10486708 1.14465016 0.47309724 2.16769893 1.15324221 0.47362199 2.23053078 1.16135247 0.47406195 2.29336264 1.16894852 0.47437740 2.35619449 1.17605541 0.47458078 2.41902634 1.18272845 0.47471213 2.48185820 1.18901446 0.47480387 2.54469005 1.19493068 0.47486060 2.60752190 1.20046927 0.47486257 2.67035376 1.20561728 0.47478475 2.73318561 1.21036748 0.47460866 2.79601746 1.21471288 0.47431885 2.85884931 1.21864122 0.47389724 2.92168117 1.22214265 0.47332833 2.98451302 1.22522271 0.47260958 3.04734487 1.22790648 0.47175522 3.11017673 1.23023080 0.47078974 3.17300858 1.23223346 0.46973858 3.23584043 1.23394678 0.46862250 3.29867229 1.23539737 0.46745738 3.36150414 1.23660876 0.46625675 3.42433599 1.23760564 0.46503593 3.48716785 1.23841661 0.46381440 3.54999970 1.23907309 0.46261468 3.61283155 1.23960348 0.46145660 3.67566340 1.24002404 0.46034885 3.73849526 1.24033231 0.45928294 3.80132711 1.24050694 0.45823337 3.86415896 1.24051513 0.45716459 3.92699082 1.24032446 0.45604202 3.98982267 1.23991346 0.45484171 4.05265452 1.23927819 0.45355609 4.11548638 1.23843172 0.45219324 4.17831823 1.23739896 0.45077190 4.24115008 1.23620906 0.44931441 4.30398194 1.23488689 0.44783890 4.36681379 1.23344793 0.44635476 4.42964564 1.23189561 0.44486043 4.49247749 1.23022410 0.44334611 4.55530935 1.22842355 0.44179866 4.61814120 1.22648691 0.44020794 4.68097305 1.22441572 0.43857201 4.74380491 1.22222159 0.43689847 4.80663676 1.21992462 0.43520293 4.86946861 1.21754804 0.43350396 4.93230047 1.21511286 0.43181814 4.99513232 1.21263335 0.43015591 5.05796417 1.21011545 0.42852010 5.12079603 1.20755779 0.42690684 5.18362788 1.20495433 0.42530807 5.24645973 1.20229739 0.42371434 5.30929158 1.19958030 0.42211715 5.37212344 1.19679815 0.42050968 5.43495529 1.19394807 0.41888703 5.49778714 1.19102881 0.41724574 5.56061900 1.18804026 0.41558341 5.62345085 1.18498342 0.41389872 5.68628270 1.18186134 0.41219230 5.74911456 1.17868001 0.41046762 5.81194641 1.17544818 0.40873088 5.87477826 1.17217805 0.40699162 5.93761012 1.16888369 0.40526129 6.00044197 1.16557863 0.40355098 6.06327382 1.16227525 0.40187079 6.12610567 1.15898160 0.40022687 6.18893753 1.15570121 0.39862121 6.25176938 1.15243316 0.39705167 6.31460123 1.14917222 0.39551216 6.37743309 1.14591144 0.39399497 6.44026494 1.14264292 0.39249155 6.50309679 1.13935996 0.39099447 6.56592865 1.13605740 0.38949778 6.62876050 1.13273263 0.38799792 6.69159235 1.12938481 0.38649303 6.75442421 1.12601475 0.38498282 6.81725606 1.12262403 0.38346781 6.88008791 1.11921426 0.38194855 6.94291976 1.11578699 0.38042563 7.00575162 1.11234353 0.37889941 7.06858347 1.10888459 0.37736978 7.13141532 1.10541118 0.37583691 7.19424718 1.10192428 0.37430096 7.25707903 1.09842523 0.37276244 7.31991088 1.09491561 0.37122210 7.38274274 1.09139709 0.36968080 7.44557459 1.08787149 0.36813956 7.50840644 1.08434024 0.36659904 7.57123830 1.08080453 0.36505974 7.63407015 1.07726520 0.36352184 7.69690200 1.07372271 0.36198522 7.75973385 1.07017758 0.36044983 7.82256571 1.06663025 0.35891562 7.88539756 1.06308140 0.35738271 7.94822941 1.05953235 0.35585192 8.01106127 1.05598474 0.35432431 8.07389312 1.05244042 0.35280119 8.13672497 1.04890187 0.35128445 8.19955683 1.04537174 0.34977613 8.26238868 1.04185222 0.34827788 8.32522053 1.03834556 0.34679140 8.38805239 1.03485391 0.34531832 8.45088424 1.03137852 0.34385946 8.51371609 1.02792057 0.34241557 8.57654794 1.02448085 0.34098706 8.63937980 1.02105945 0.33957373 8.70221165 1.01765658 0.33817550 8.76504350 1.01427206 0.33679195 8.82787536 1.01090550 0.33542246 8.89070721 1.00755652 0.33406646 8.95353906 1.00422463 0.33272324 9.01637092 1.00090935 0.33139217 9.07920277 0.99761005 0.33007246 9.14203462 0.99432631 0.32876349 9.20486648 0.99105742 0.32746444 9.26769833 0.98780291 0.32617467 9.33053018 0.98456240 0.32489364 9.39336203 0.98133534 0.32362069 9.45619389 0.97812132 0.32235526 9.58185759 0.97173147 0.31984552 9.70752130 0.96539120 0.31736178 9.77035315 0.96223949 0.31612920 9.89601686 0.95597297 0.31368208 10.02168056 0.94975631 0.31125901 10.14734427 0.94359056 0.30886024 10.27300798 0.93747712 0.30648647 10.39867168 0.93141710 0.30413817 10.52433539 0.92541155 0.30181583 10.64999910 0.91946123 0.29951972 10.77566280 0.91356661 0.29724992 10.90132651 0.90772797 0.29500633 11.02699021 0.90194532 0.29278871 11.15265392 0.89621853 0.29059670 11.27831763 0.89054755 0.28843004 11.40398133 0.88493223 0.28628846 11.52964504 0.87937248 0.28417177 11.65530874 0.87386824 0.28207984 11.78097245 0.86841953 0.28001262 11.96946801 0.86035062 0.27695819 12.09513172 0.85504092 0.27495299 12.22079542 0.84978704 0.27297285 12.34645913 0.84458912 0.27101798 12.53495469 0.83689742 0.26813354 12.66061839 0.83183985 0.26624273 12.78628210 0.82683841 0.26437777 12.97477766 0.81944089 0.26162855 13.10044137 0.81457833 0.25982754 13.28893692 0.80738647 0.25717260 13.41460063 0.80265858 0.25543276 13.60309619 0.79566417 0.25286632 13.72875990 0.79106459 0.25118305 13.91725546 0.78425742 0.24869766 14.04291916 0.77977921 0.24706594 14.23141472 0.77314922 0.24465442 14.41991028 0.76662133 0.24228440 14.54557399 0.76232476 0.24072658 14.73406955 0.75596116 0.23842212 14.92256510 0.74969314 0.23615533 15.11106066 0.74351872 0.23392520 15.29955622 0.73743607 0.23173089 15.42521993 0.73343111 0.23028755 15.61371549 0.72749762 0.22815129 15.80221105 0.72165146 0.22604895 15.99070661 0.71589102 0.22397989 16.17920217 0.71021475 0.22194348 16.36769773 0.70462111 0.21993910 16.55619328 0.69910858 0.21796616 16.74468884 0.69367566 0.21602406 16.99601626 0.68655304 0.21348154 17.18451182 0.68130015 0.21160913 17.37300737 0.67612202 0.20976562 17.56150293 0.67101723 0.20795046 17.81283035 0.66432255 0.20557340 18.00132591 0.65938357 0.20382227 18.18982146 0.65451342 0.20209769 18.44114888 0.64812470 0.19983866 18.62964444 0.64341012 0.19817404 18.88097185 0.63722427 0.19599314 19.06946741 0.63265851 0.19438579 19.32079482 0.62666673 0.19227953 19.50929038 0.62224332 0.19072688 19.76061779 0.61643720 0.18869191 20.01194520 0.61073357 0.18669625 20.20044076 0.60652158 0.18522469 20.45176817 0.60099124 0.18329541 20.70309559 0.59555661 0.18140274 20.95442300 0.59021532 0.17954575 21.20575041 0.58496512 0.17772354 21.45707782 0.57980380 0.17593523 21.70840524 0.57472923 0.17417998 21.95973265 0.56973931 0.17245695 22.21106006 0.56483203 0.17076534 22.46238747 0.56000543 0.16910438 22.71371489 0.55525761 0.16747329 23.02787415 0.54943079 0.16547534 23.27920156 0.54485353 0.16390883 23.53052898 0.54034922 0.16236988 23.84468824 0.53481887 0.16048392 24.09601565 0.53047263 0.15900456 24.41017492 0.52513480 0.15719107 24.66150233 0.52093865 0.15576811 24.97566160 0.51578370 0.15402324 25.28982086 0.51072640 0.15231493 25.54114827 0.50674907 0.15097387 25.85530754 0.50186084 0.14932868 26.16946680 0.49706297 0.14771714 26.48362607 0.49235304 0.14613829 26.79778534 0.48772870 0.14459119 27.11194460 0.48318767 0.14307496 27.42610387 0.47872777 0.14158872 27.74026313 0.47434689 0.14013164 28.05442240 0.47004298 0.13870292 28.43141351 0.46497712 0.13702478 28.74557278 0.46083569 0.13565572 29.05973205 0.45676515 0.13431262 29.43672316 0.45197157 0.13273418 29.75088243 0.44805080 0.13144576 30.12787355 0.44343208 0.12993102 30.50486467 0.43890480 0.12844947 30.81902393 0.43519999 0.12723946 31.19601505 0.43083354 0.12581612 31.57300617 0.42655127 0.12442314 31.94999729 0.42235081 0.12305959 32.32698841 0.41822987 0.12172460 32.70397952 0.41418625 0.12041729 33.08097064 0.41021782 0.11913685 33.45796176 0.40632253 0.11788248 33.89778473 0.40186783 0.11645098 34.27477585 0.39812432 0.11525053 34.65176697 0.39444793 0.11407382 35.09158994 0.39024129 0.11273011 35.46858106 0.38670435 0.11160258 35.90840403 0.38265584 0.11031450 36.34822700 0.37868886 0.10905499 36.78804997 0.37480101 0.10782315 37.16504109 0.37152979 0.10678864 37.60486406 0.36778284 0.10560587 38.10751889 0.36358957 0.10428502 38.54734186 0.35999599 0.10315541 38.98716483 0.35647083 0.10204944 39.42698780 0.35301219 0.10096637 39.92964263 0.34913854 0.09975574 40.36946560 0.34581631 0.09871949 40.87212042 0.34209401 0.09756067 41.31194339 0.33890039 0.09656832 41.81459822 0.33532087 0.09545812 42.31725304 0.33181420 0.09437264 42.81990787 0.32837821 0.09331108 43.32256269 0.32501082 0.09227266 43.82521752 0.32171000 0.09125665 44.32787234 0.31847385 0.09026236 44.89335902 0.31490814 0.08916888 45.39601384 0.31180330 0.08821850 45.89866867 0.30875753 0.08728781 46.46415535 0.30539962 0.08626357 47.02964202 0.30211214 0.08526268 47.59512870 0.29889293 0.08428437 48.16061538 0.29573991 0.08332788 48.72610206 0.29265109 0.08239252 49.29158873 0.28962456 0.08147759 49.85707541 0.28665847 0.08058246 50.42256209 0.28375106 0.07970648 51.05088062 0.28058736 0.07875492 51.61636730 0.27779831 0.07791747 52.24468583 0.27476217 0.07700732 52.87300436 0.27179013 0.07611790 53.50132289 0.26888021 0.07524852 54.12964142 0.26603050 0.07439853 54.75795995 0.26323919 0.07356728 55.38627848 0.26050453 0.07275418 56.07742887 0.25755980 0.07188002 56.70574740 0.25493867 0.07110316 57.39689778 0.25211500 0.07026755 58.08804816 0.24935182 0.06945113 58.71636670 0.24689074 0.06872505 59.40751708 0.24423783 0.06794350 60.16149932 0.24140663 0.06711071 60.85264970 0.23886719 0.06636487 61.54380008 0.23637950 0.06563526 62.29778232 0.23372284 0.06485722 63.05176456 0.23112399 0.06409722 63.74291494 0.22879093 0.06341589 64.49689718 0.22629782 0.06268880 65.25087942 0.22385735 0.06197804 66.06769350 0.22127104 0.06122586 66.82167574 0.21893510 0.06054742 67.63848983 0.21645844 0.05982907 68.39247207 0.21422055 0.05918082 69.20928616 0.21184681 0.05849408 70.02610025 0.20952409 0.05782298 70.84291434 0.20725080 0.05716698 71.72256028 0.20485615 0.05647685 72.53937437 0.20268065 0.05585065 73.41902031 0.20038796 0.05519153 74.23583440 0.19830416 0.05459316 75.11548035 0.19610713 0.05396302 75.99512629 0.19395739 0.05334715 76.93760409 0.19170489 0.05270261 77.81725003 0.18964844 0.05211484 78.75972783 0.18749267 0.05149938 79.70220562 0.18538454 0.05089819 80.58185156 0.18345856 0.05034953 81.58716121 0.18130507 0.04973672 82.52963901 0.17933085 0.04917552 83.47211681 0.17739846 0.04862678 84.47742646 0.17538191 0.04805472 85.48273610 0.17340997 0.04749589 86.48804575 0.17148120 0.04694984 87.49335540 0.16959422 0.04641614 88.56149690 0.16763359 0.04586215 89.56680655 0.16582864 0.04535263 90.63494806 0.16395237 0.04482347 91.70308956 0.16211748 0.04430646 92.77123106 0.16032262 0.04380119 93.90220442 0.15846439 0.04327855 94.97034592 0.15674797 0.04279622 96.10131927 0.15497011 0.04229705 97.23229263 0.15323159 0.04180934 98.36326598 0.15153113 0.04133271 99.55707119 0.14977614 0.04084120 100.75087640 0.14806081 0.04036120 101.88184976 0.14647117 0.03991671 103.13848682 0.14474396 0.03943414 104.33229203 0.14313996 0.03898635 105.52609723 0.14157070 0.03854857 106.78273430 0.13995515 0.03809822 108.03937136 0.13837563 0.03765823 109.35884027 0.13675462 0.03720701 110.61547733 0.13524532 0.03678718 111.93494625 0.13369560 0.03635641 113.25441516 0.13218060 0.03593558 114.57388408 0.13069919 0.03552435 115.95618484 0.12918206 0.03510349 117.27565376 0.12776604 0.03471092 118.65795453 0.12631518 0.03430895 120.10308715 0.12483283 0.03389851 121.48538791 0.12344680 0.03351497 122.93052053 0.12202998 0.03312315 124.37565316 0.12064501 0.03274037 125.82078578 0.11929083 0.03236631 127.32875025 0.11790951 0.03198496 128.83671472 0.11655952 0.03161248 130.34467920 0.11523983 0.03124856 131.91547552 0.11389628 0.03087825 133.42344000 0.11263536 0.03053091 134.99423632 0.11135101 0.03017728 136.62786450 0.11004573 0.02981808 138.19866083 0.10881896 0.02948065 139.83228901 0.10757158 0.02913772 141.52874904 0.10630589 0.02878992 143.16237722 0.10511469 0.02846275 144.85883726 0.10390541 0.02813076 146.55529729 0.10272342 0.02780641 148.31458918 0.10152552 0.02747784 150.07388106 0.10035504 0.02715692 151.83317295 0.09921105 0.02684341 153.59246483 0.09809268 0.02653704 155.41458857 0.09696045 0.02622700 157.23671231 0.09585389 0.02592410 159.12166790 0.09473527 0.02561803 161.00662350 0.09364230 0.02531909 162.89157909 0.09257409 0.02502703 164.77653468 0.09152984 0.02474163 166.72432213 0.09047509 0.02445345 168.73494142 0.08941137 0.02416293 170.68272887 0.08840433 0.02388799 172.69334817 0.08738820 0.02361066 174.76679932 0.08636435 0.02333131 176.84025047 0.08536409 0.02305849 178.91370162 0.08438661 0.02279196 180.98715277 0.08343114 0.02253152 183.12343578 0.08246898 0.02226933 185.32255064 0.08150131 0.02200572 187.45883364 0.08058268 0.02175555 189.72078035 0.07963222 0.02149677 191.91989521 0.07872930 0.02125102 194.18184192 0.07782161 0.02100403 196.50662048 0.07691016 0.02075608 198.83139905 0.07601972 0.02051392 201.15617761 0.07514958 0.02027734 203.54378803 0.07427632 0.02003997 205.93139844 0.07342305 0.01980809 208.38184071 0.07256739 0.01957562 210.83228298 0.07173136 0.01934854 213.28272525 0.07091431 0.01912667 215.79599938 0.07009534 0.01890432 218.37210535 0.06927524 0.01868172 220.94821133 0.06847403 0.01846430 223.52431730 0.06769109 0.01825188 226.16325513 0.06690733 0.01803929 228.86502481 0.06612344 0.01782670 231.56679450 0.06535765 0.01761907 234.26856418 0.06460933 0.01741622 237.03316571 0.06386110 0.01721343 239.79776725 0.06312995 0.01701531 242.68803249 0.06238320 0.01681300 245.51546588 0.06166954 0.01661970 248.40573112 0.06095666 0.01642664 251.35882821 0.06024506 0.01623397 254.31192531 0.05954984 0.01604577 257.32785426 0.05885617 0.01585801 260.34378320 0.05817843 0.01567461 263.42254400 0.05750245 0.01549171 266.50130480 0.05684196 0.01531304 269.64289746 0.05618342 0.01513492 272.84732196 0.05552722 0.01495747 276.05174647 0.05488615 0.01478413 279.31900283 0.05424753 0.01461149 282.58625919 0.05362359 0.01444285 285.91634740 0.05300222 0.01427492 289.30926747 0.05238374 0.01410781 292.70218753 0.05177951 0.01394456 296.15793945 0.05117823 0.01378215 299.67652323 0.05058018 0.01362062 303.19510700 0.04999592 0.01346285 306.77652262 0.04941492 0.01330598 310.42077010 0.04883740 0.01315006 314.06501758 0.04827321 0.01299777