# omega total a= 1 L= 3 0.03141593 0.04659689 0.01969738 0.09424778 0.10685262 0.04945077 0.15707963 0.16621589 0.07858779 0.21991149 0.22420792 0.10677346 0.28274334 0.28040215 0.13371116 0.34557519 0.33450520 0.15920873 0.40840704 0.38628604 0.18311925 0.47123890 0.43561920 0.20537692 0.53407075 0.48246362 0.22597977 0.59690260 0.52684446 0.24497510 0.65973446 0.56884606 0.26245434 0.72256631 0.60858759 0.27853343 0.78539816 0.64620918 0.29334190 0.84823002 0.68185064 0.30700544 0.91106187 0.71564646 0.31964220 0.97389372 0.74771407 0.33135317 1.03672558 0.77814943 0.34221864 1.09955743 0.80703246 0.35230302 1.16238928 0.83442526 0.36165344 1.22522113 0.86037680 0.37030398 1.28805299 0.88492932 0.37828132 1.35088484 0.90812217 0.38560823 1.41371669 0.92999549 0.39230700 1.47654855 0.95059330 0.39840241 1.53938040 0.96996628 0.40392442 1.60221225 0.98817328 0.40890979 1.66504411 1.00528094 0.41340202 1.72787596 1.02136150 0.41744968 1.79070781 1.03648947 0.42110368 1.85353967 1.05073810 0.42441430 1.91637152 1.06417630 0.42742850 1.97920337 1.07686623 0.43018783 2.04203522 1.08886155 0.43272680 2.10486708 1.10020641 0.43507192 2.16769893 1.11093519 0.43724138 2.23053078 1.12107325 0.43924561 2.29336264 1.13063843 0.44108854 2.35619449 1.13964327 0.44276951 2.41902634 1.14809733 0.44428531 2.48185820 1.15600967 0.44563243 2.54469005 1.16339087 0.44680890 2.60752190 1.17025472 0.44781585 2.67035376 1.17661895 0.44865824 2.73318561 1.18250539 0.44934514 2.79601746 1.18793927 0.44988904 2.85884931 1.19294787 0.45030478 2.92168117 1.19755876 0.45060791 2.98451302 1.20179786 0.45081294 3.04734487 1.20568777 0.45093174 3.11017673 1.20924651 0.45097241 3.17300858 1.21248712 0.45093876 3.23584043 1.21541779 0.45083041 3.29867229 1.21804284 0.45064360 3.36150414 1.22036402 0.45037240 3.42433599 1.22238214 0.45001008 3.48716785 1.22409873 0.44955071 3.54999970 1.22551762 0.44899064 3.61283155 1.22664596 0.44832938 3.67566340 1.22749499 0.44757044 3.73849526 1.22807992 0.44672121 3.80132711 1.22841939 0.44579254 3.86415896 1.22853438 0.44479769 3.92699082 1.22844670 0.44375107 3.98982267 1.22817763 0.44266683 4.05265452 1.22774643 0.44155761 4.11548638 1.22716940 0.44043353 4.17831823 1.22645926 0.43930169 4.24115008 1.22562512 0.43816599 4.30398194 1.22467282 0.43702749 4.36681379 1.22360561 0.43588500 4.42964564 1.22242502 0.43473584 4.49247749 1.22113168 0.43357661 4.55530935 1.21972592 0.43240373 4.61814120 1.21820812 0.43121380 4.68097305 1.21657885 0.43000366 4.74380491 1.21483859 0.42877023 4.80663676 1.21298757 0.42751028 4.86946861 1.21102556 0.42622023 4.93230047 1.20895185 0.42489621 4.99513232 1.20676554 0.42353423 5.05796417 1.20446605 0.42213068 5.12079603 1.20205377 0.42068296 5.18362788 1.19953082 0.41919017 5.24645973 1.19690162 0.41765364 5.30929158 1.19417326 0.41607730 5.37212344 1.19135557 0.41446775 5.43495529 1.18846074 0.41283393 5.49778714 1.18550281 0.41118658 5.56061900 1.18249663 0.40953741 5.62345085 1.17945714 0.40789825 5.68628270 1.17639834 0.40628025 5.74911456 1.17333257 0.40469307 5.81194641 1.17026977 0.40314426 5.87477826 1.16721740 0.40163912 5.93761012 1.16418013 0.40018042 6.00044197 1.16115978 0.39876833 6.06327382 1.15815562 0.39740072 6.12610567 1.15516475 0.39607341 6.18893753 1.15218214 0.39478035 6.25176938 1.14920121 0.39351401 6.31460123 1.14621414 0.39226579 6.37743309 1.14321229 0.39102630 6.44026494 1.14018662 0.38978585 6.50309679 1.13712809 0.38853474 6.56592865 1.13402809 0.38726374 6.62876050 1.13087895 0.38596451 6.69159235 1.12767439 0.38463003 6.75442421 1.12440977 0.38325485 6.81725606 1.12108251 0.38183549 6.88008791 1.11769228 0.38037061 6.94291976 1.11424115 0.37886112 7.00575162 1.11073336 0.37731003 7.06858347 1.10717518 0.37572226 7.13141532 1.10357442 0.37410426 7.19424718 1.09994019 0.37246368 7.25707903 1.09628219 0.37080882 7.31991088 1.09261014 0.36914801 7.38274274 1.08893338 0.36748930 7.44557459 1.08526042 0.36583999 7.50840644 1.08159853 0.36420626 7.57123830 1.07795366 0.36259312 7.63407015 1.07433024 0.36100417 7.69690200 1.07073113 0.35944158 7.75973385 1.06715777 0.35790624 7.82256571 1.06361029 0.35639781 7.88539756 1.06008777 0.35491500 7.94822941 1.05658844 0.35345575 8.01106127 1.05310990 0.35201741 8.07389312 1.04964936 0.35059698 8.13672497 1.04620391 0.34919137 8.19955683 1.04277070 0.34779751 8.26238868 1.03934709 0.34641260 8.32522053 1.03593087 0.34503417 8.38805239 1.03252020 0.34366016 8.45088424 1.02911374 0.34228897 8.51371609 1.02571073 0.34091954 8.57654794 1.02231100 0.33955137 8.63937980 1.01891478 0.33818437 8.70221165 1.01552283 0.33681891 8.76504350 1.01213626 0.33545576 8.82787536 1.00875642 0.33409589 8.89070721 1.00538487 0.33274048 8.95353906 1.00202327 0.33139083 9.01637092 0.99867326 0.33004824 9.07920277 0.99533640 0.32871393 9.14203462 0.99201405 0.32738898 9.20486648 0.98870736 0.32607425 9.26769833 0.98541723 0.32477041 9.33053018 0.98214430 0.32347789 9.39336203 0.97888900 0.32219691 9.45619389 0.97565147 0.32092747 9.58185759 0.96922944 0.31842241 9.70752130 0.96287619 0.31595979 9.77035315 0.95972431 0.31474314 9.89601686 0.95346763 0.31233640 10.02168056 0.94727064 0.30996159 10.14734427 0.94113023 0.30761513 10.27300798 0.93504415 0.30529435 10.39867168 0.92901107 0.30299748 10.52433539 0.92303047 0.30072356 10.64999910 0.91710245 0.29847229 10.77566280 0.91122742 0.29624370 10.90132651 0.90540604 0.29403810 11.02699021 0.89963898 0.29185587 11.15265392 0.89392688 0.28969741 11.27831763 0.88827028 0.28756307 11.40398133 0.88266964 0.28545317 11.52964504 0.87712534 0.28336797 11.65530874 0.87163768 0.28130774 11.78097245 0.86620695 0.27927271 11.96946801 0.85816810 0.27626798 12.09513172 0.85288062 0.27429701 12.22079542 0.84765068 0.27235199 12.34645913 0.84247821 0.27043298 12.53495469 0.83482687 0.26760313 12.66061839 0.82979699 0.26574869 12.78628210 0.82482323 0.26391949 12.97477766 0.81746609 0.26122182 13.10044137 0.81262898 0.25945314 13.28893692 0.80547218 0.25684288 13.41460063 0.80076530 0.25513004 13.60309619 0.79379877 0.25259985 13.72875990 0.78921544 0.25093806 13.91725546 0.78242960 0.24848126 14.04291916 0.77796388 0.24686651 14.23141472 0.77135061 0.24447787 14.41991028 0.76483762 0.24212824 14.54557399 0.76055028 0.24058294 14.73406955 0.75419980 0.23829597 14.92256510 0.74794432 0.23604543 15.11106066 0.74178207 0.23383059 15.29955622 0.73571139 0.23165076 15.42521993 0.73171433 0.23021667 15.61371549 0.72579261 0.22809376 15.80221105 0.71995814 0.22600417 15.99070661 0.71420932 0.22394731 16.17920217 0.70854461 0.22192258 16.36769773 0.70296245 0.21992939 16.55619328 0.69746133 0.21796716 16.74468884 0.69203974 0.21603531 16.99601626 0.68493209 0.21350578 17.18451182 0.67969033 0.21164262 17.37300737 0.67452323 0.20980798 17.56150293 0.66942937 0.20800131 17.81283035 0.66274913 0.20563501 18.00132591 0.65782085 0.20389155 18.18982146 0.65296131 0.20217431 18.44114888 0.64658657 0.19992459 18.62964444 0.64188237 0.19826661 18.88097185 0.63571019 0.19609413 19.06946741 0.63115455 0.19449277 19.32079482 0.62517611 0.19239411 19.50929038 0.62076260 0.19084688 19.76061779 0.61496950 0.18881877 20.01194520 0.60927872 0.18682959 20.20044076 0.60507623 0.18536264 20.45176817 0.59955842 0.18343920 20.70309559 0.59413613 0.18155204 20.95442300 0.58880700 0.17970024 21.20575041 0.58356879 0.17788292 21.45707782 0.57841927 0.17609921 21.70840524 0.57335632 0.17434829 21.95973265 0.56837785 0.17262933 22.21106006 0.56348186 0.17094155 22.46238747 0.55866637 0.16928418 22.71371489 0.55392949 0.16765647 23.02787415 0.54811613 0.16566244 23.27920156 0.54354944 0.16409885 23.53052898 0.53905555 0.16256262 23.84468824 0.53353801 0.16067984 24.09601565 0.52920185 0.15920282 24.41017492 0.52387640 0.15739205 24.66150233 0.51969001 0.15597110 24.97566160 0.51454704 0.15422855 25.28982086 0.50950152 0.15252235 25.54114827 0.50553345 0.15118285 25.85530754 0.50065662 0.14953944 26.16946680 0.49586996 0.14792951 26.48362607 0.49117103 0.14635212 26.79778534 0.48655750 0.14480633 27.11194460 0.48202710 0.14329127 27.42610387 0.47757764 0.14180607 27.74026313 0.47320703 0.14034991 28.05442240 0.46891322 0.13892199 28.43141351 0.46385925 0.13724467 28.74557278 0.45972756 0.13587619 29.05973205 0.45566659 0.13453357 29.43672316 0.45088429 0.13295559 29.75088243 0.44697276 0.13166746 30.12787355 0.44236493 0.13015297 30.50486467 0.43784832 0.12867157 30.81902393 0.43415227 0.12746162 31.19601505 0.42979612 0.12603825 31.57300617 0.42552398 0.12464517 31.94999729 0.42133347 0.12328145 32.32698841 0.41722229 0.12194621 32.70397952 0.41318825 0.12063859 33.08097064 0.40922924 0.11935778 33.45796176 0.40534319 0.11810298 33.89778473 0.40089908 0.11667092 34.27477585 0.39716448 0.11546993 34.65176697 0.39349684 0.11429265 35.09158994 0.38930022 0.11294822 35.46858106 0.38577172 0.11182003 35.90840403 0.38173287 0.11053114 36.34822700 0.37777538 0.10927079 36.78804997 0.37389683 0.10803807 37.16504109 0.37063344 0.10700277 37.60486406 0.36689546 0.10581906 38.10751889 0.36271225 0.10449710 38.54734186 0.35912730 0.10336650 38.98716483 0.35561061 0.10225950 39.42698780 0.35216028 0.10117540 39.92964263 0.34829596 0.09996357 40.36946560 0.34498173 0.09892624 40.87212042 0.34126841 0.09776619 41.31194339 0.33808250 0.09677275 41.81459822 0.33451162 0.09566129 42.31725304 0.33101343 0.09457454 42.81990787 0.32758575 0.09351170 43.32256269 0.32422651 0.09247200 43.82521752 0.32093370 0.09145471 44.32787234 0.31770539 0.09045913 44.89335902 0.31414834 0.08936420 45.39601384 0.31105104 0.08841254 45.89866867 0.30801268 0.08748056 46.46415535 0.30466293 0.08645488 47.02964202 0.30138346 0.08545255 47.59512870 0.29817209 0.08447280 48.16061538 0.29502676 0.08351489 48.72610206 0.29194547 0.08257811 49.29158873 0.28892633 0.08166177 49.85707541 0.28596749 0.08076523 50.42256209 0.28306718 0.07988787 51.05088062 0.27991122 0.07893477 51.61636730 0.27712900 0.07809595 52.24468583 0.27410029 0.07718429 52.87300436 0.27113552 0.07629338 53.50132289 0.26823273 0.07542252 54.12964142 0.26539002 0.07457107 54.75795995 0.26260555 0.07373837 55.38627848 0.25987759 0.07292383 56.07742887 0.25694010 0.07204812 56.70574740 0.25432540 0.07126986 57.39689778 0.25150867 0.07043273 58.08804816 0.24875228 0.06961482 58.71636670 0.24629724 0.06888739 59.40751708 0.24365086 0.06810438 60.16149932 0.24082662 0.06727001 60.85264970 0.23829343 0.06652275 61.54380008 0.23581185 0.06579174 62.29778232 0.23316173 0.06501219 63.05176456 0.23056928 0.06425071 63.74291494 0.22824196 0.06356804 64.49689718 0.22575497 0.06283951 65.25087942 0.22332051 0.06212734 66.06769350 0.22074056 0.06137364 66.82167574 0.21841038 0.06069383 67.63848983 0.21593981 0.05997401 68.39247207 0.21370743 0.05932443 69.20928616 0.21133952 0.05863628 70.02610025 0.20902252 0.05796378 70.84291434 0.20675482 0.05730642 71.72256028 0.20436606 0.05661483 72.53937437 0.20219591 0.05598731 73.41902031 0.19990886 0.05532679 74.23583440 0.19783018 0.05472714 75.11548035 0.19563855 0.05409564 75.99512629 0.19349410 0.05347845 76.93760409 0.19124713 0.05283251 77.81725003 0.18919572 0.05224347 78.75972783 0.18704525 0.05162665 79.70220562 0.18494229 0.05102415 80.58185156 0.18302104 0.05047428 81.58716121 0.18087283 0.04986011 82.52963901 0.17890345 0.04929766 83.47211681 0.17697580 0.04874769 84.47742646 0.17496419 0.04817435 85.48273610 0.17299708 0.04761426 86.48804575 0.17107303 0.04706698 87.49335540 0.16919066 0.04653207 88.56149690 0.16723483 0.04597682 89.56680655 0.16543430 0.04546614 90.63494806 0.16356262 0.04493577 91.70308956 0.16173220 0.04441757 92.77123106 0.15994172 0.04391113 93.90220442 0.15808803 0.04338728 94.97034592 0.15637580 0.04290383 96.10131927 0.15460228 0.04240350 97.23229263 0.15286799 0.04191466 98.36326598 0.15117167 0.04143691 99.55707119 0.14942095 0.04094425 100.75087640 0.14770980 0.04046312 101.88184976 0.14612402 0.04001758 103.13848682 0.14440101 0.03953387 104.33229203 0.14280091 0.03908502 105.52609723 0.14123546 0.03864620 106.78273430 0.13962384 0.03819477 108.03937136 0.13804815 0.03775374 109.35884027 0.13643106 0.03730144 110.61547733 0.13492542 0.03688061 111.93494625 0.13337945 0.03644880 113.25441516 0.13186812 0.03602696 114.57388408 0.13039029 0.03561474 115.95618484 0.12887683 0.03519286 117.27565376 0.12746424 0.03479934 118.65795453 0.12601688 0.03439639 120.10308715 0.12453811 0.03398496 121.48538791 0.12315542 0.03360049 122.93052053 0.12174202 0.03320772 124.37565316 0.12036039 0.03282400 125.82078578 0.11900947 0.03244902 127.32875025 0.11763148 0.03206675 128.83671472 0.11628474 0.03169335 130.34467920 0.11496822 0.03132853 131.91547552 0.11362790 0.03095732 133.42344000 0.11237001 0.03060912 134.99423632 0.11108874 0.03025462 136.62786450 0.10978660 0.02989453 138.19866083 0.10856277 0.02955627 139.83228901 0.10731838 0.02921249 141.52874904 0.10605572 0.02886383 143.16237722 0.10486738 0.02853584 144.85883726 0.10366099 0.02820303 146.55529729 0.10248183 0.02787787 148.31458918 0.10128680 0.02754848 150.07388106 0.10011912 0.02722677 151.83317295 0.09897786 0.02691247 153.59246483 0.09786216 0.02660533 155.41458857 0.09673264 0.02629452 157.23671231 0.09562872 0.02599087 159.12166790 0.09451277 0.02568403 161.00662350 0.09342240 0.02538433 162.89157909 0.09235674 0.02509154 164.77653468 0.09131497 0.02480542 166.72432213 0.09026274 0.02451652 168.73494142 0.08920155 0.02422527 170.68272887 0.08819691 0.02394964 172.69334817 0.08718319 0.02367160 174.76679932 0.08616178 0.02339155 176.84025047 0.08516389 0.02311804 178.91370162 0.08418873 0.02285084 180.98715277 0.08323554 0.02258974 183.12343578 0.08227566 0.02232689 185.32255064 0.08131029 0.02206261 187.45883364 0.08039384 0.02181180 189.72078035 0.07944562 0.02155237 191.91989521 0.07854485 0.02130599 194.18184192 0.07763931 0.02105837 196.50662048 0.07673002 0.02080980 198.83139905 0.07584169 0.02056702 201.15617761 0.07497360 0.02032983 203.54378803 0.07410241 0.02009186 205.93139844 0.07325116 0.01985939 208.38184071 0.07239752 0.01962633 210.83228298 0.07156347 0.01939867 213.28272525 0.07074835 0.01917623 215.79599938 0.06993132 0.01895332 218.37210535 0.06911315 0.01873015 220.94821133 0.06831384 0.01851217 223.52431730 0.06753274 0.01829921 226.16325513 0.06675084 0.01808607 228.86502481 0.06596879 0.01787294 231.56679450 0.06520481 0.01766478 234.26856418 0.06445826 0.01746141 237.03316571 0.06371179 0.01725810 239.79776725 0.06298236 0.01705947 242.68803249 0.06223737 0.01685664 245.51546588 0.06152539 0.01666284 248.40573112 0.06081419 0.01646929 251.35882821 0.06010426 0.01627612 254.31192531 0.05941068 0.01608744 257.32785426 0.05871864 0.01589920 260.34378320 0.05804250 0.01571532 263.42254400 0.05736810 0.01553195 266.50130480 0.05670917 0.01535282 269.64289746 0.05605218 0.01517425 272.84732196 0.05539753 0.01499634 276.05174647 0.05475795 0.01482255 279.31900283 0.05412084 0.01464947 282.58625919 0.05349836 0.01448039 285.91634740 0.05287845 0.01431203 289.30926747 0.05226143 0.01414448 292.70218753 0.05165861 0.01398082 296.15793945 0.05105875 0.01381798 299.67652323 0.05046210 0.01365604 303.19510700 0.04987922 0.01349786 306.77652262 0.04929957 0.01334058 310.42077010 0.04872341 0.01318427 314.06501758 0.04816054 0.01303158