# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03141593 3.46069013 0.78045794 0.78171854 0.78350041 0.77695210 0.09424778 3.75517512 0.82848913 0.82957916 0.82818261 0.82828165 0.15707963 3.68865433 0.80122643 0.80175283 0.79955891 0.80265425 0.21991149 3.56288013 0.76338797 0.76366253 0.76132356 0.76537246 0.28274334 3.43559576 0.72652460 0.72670990 0.72446944 0.72858070 0.34557519 3.32302240 0.69381208 0.69393940 0.69189007 0.69573628 0.40840704 3.22589807 0.66513107 0.66522645 0.66339313 0.66685224 0.47123890 3.14246533 0.63996506 0.64005373 0.63843075 0.64146793 0.53407075 3.07039019 0.61771817 0.61780335 0.61637343 0.61901436 0.59690260 3.00790106 0.59795881 0.59804018 0.59678170 0.59906963 0.65973446 2.95267846 0.58012266 0.58021427 0.57910572 0.58107147 0.72256631 2.90357158 0.56395439 0.56404479 0.56306630 0.56476398 0.78539816 2.85941020 0.54915897 0.54923621 0.54837027 0.54985073 0.84823002 2.81936438 0.53552900 0.53560953 0.53484094 0.53612176 0.91106187 2.78263815 0.52287712 0.52296169 0.52227710 0.52338636 0.97389372 2.74877142 0.51109205 0.51117524 0.51056357 0.51153106 1.03672558 2.71712834 0.50000580 0.50008697 0.49953865 0.50038558 1.09955743 2.68759802 0.48959539 0.48967807 0.48918445 0.48992528 1.16238928 2.65990087 0.47979232 0.47987598 0.47943008 0.48008035 1.22522113 2.63356754 0.47046591 0.47054842 0.47014458 0.47071841 1.28805299 2.60838737 0.46156505 0.46164121 0.46127429 0.46178725 1.35088484 2.58436884 0.45308709 0.45315826 0.45282380 0.45328366 1.41371669 2.56136456 0.44499431 0.44505884 0.44475307 0.44516917 1.47654855 2.53917390 0.43722664 0.43728507 0.43700480 0.43738286 1.53938040 2.51776954 0.42977267 0.42982761 0.42957012 0.42991293 1.60221225 2.49707357 0.42260732 0.42266221 0.42242512 0.42273379 1.66504411 2.47700547 0.41570948 0.41576338 0.41554462 0.41582398 1.72787596 2.45753450 0.40906466 0.40911667 0.40891452 0.40916873 1.79070781 2.43858289 0.40264816 0.40269622 0.40250908 0.40274315 1.85353967 2.42006869 0.39643389 0.39647853 0.39630502 0.39652093 1.91637152 2.40198473 0.39041660 0.39045900 0.39029794 0.39049661 1.97920337 2.38432662 0.38459091 0.38463316 0.38448352 0.38466463 2.04203522 2.36710315 0.37895449 0.37899653 0.37885733 0.37902261 2.10486708 2.35029961 0.37350085 0.37354135 0.37341165 0.37356406 2.16769893 2.33386971 0.36821667 0.36825388 0.36813287 0.36827552 2.23053078 2.31776936 0.36308523 0.36311804 0.36300505 0.36314015 2.29336264 2.30198269 0.35809771 0.35812662 0.35802103 0.35814914 2.35619449 2.28647805 0.35324084 0.35326720 0.35316842 0.35328914 2.41902634 2.27125309 0.34851197 0.34853635 0.34844383 0.34855741 2.48185820 2.25630807 0.34391239 0.34393436 0.34384768 0.34395521 2.54469005 2.24158561 0.33942352 0.33944342 0.33936219 0.33946394 2.60752190 2.22706261 0.33503554 0.33505418 0.33497804 0.33507374 2.67035376 2.21279521 0.33076173 0.33077961 0.33070821 0.33079788 2.73318561 2.19880010 0.32660421 0.32662131 0.32655434 0.32663847 2.79601746 2.18503735 0.32254985 0.32256610 0.32250328 0.32258233 2.85884931 2.17147825 0.31858838 0.31860375 0.31854481 0.31861919 2.92168117 2.15814366 0.31472264 0.31473701 0.31468171 0.31475191 2.98451302 2.14502812 0.31094891 0.31096227 0.31091039 0.31097674 3.04734487 2.13211108 0.30726052 0.30727296 0.30722428 0.30728701 3.11017673 2.11940657 0.30366072 0.30367235 0.30362668 0.30368594 3.17300858 2.10691103 0.30014756 0.30015856 0.30011573 0.30017158 3.23584043 2.09461055 0.29671501 0.29672562 0.29668547 0.29673790 3.29867229 2.08250650 0.29336166 0.29337199 0.29333435 0.29338347 3.36150414 2.07060087 0.29008757 0.29009759 0.29006233 0.29010835 3.42433599 2.05887405 0.28688639 0.28689599 0.28686298 0.28690621 3.48716785 2.04728444 0.28374519 0.28375417 0.28372329 0.28376409 3.54999970 2.03582750 0.28066142 0.28066952 0.28064066 0.28067945 3.61283155 2.02453971 0.27764369 0.27765070 0.27762373 0.27766091 3.67566340 2.01344831 0.27469801 0.27470388 0.27467872 0.27471446 3.73849526 2.00254947 0.27182231 0.27182722 0.27180377 0.27183803 3.80132711 1.99181256 0.26900757 0.26901167 0.26898983 0.26902259 3.86415896 1.98119614 0.26624173 0.26624504 0.26622472 0.26625610 3.92699082 1.97069109 0.26352148 0.26352402 0.26350516 0.26353522 3.98982267 1.96034714 0.26085962 0.26086157 0.26084409 0.26087276 4.05265452 1.95021264 0.25826840 0.25826995 0.25825378 0.25828097 4.11548638 1.94026815 0.25574148 0.25574269 0.25572776 0.25575348 4.17831823 1.93045480 0.25326213 0.25326300 0.25324926 0.25327360 4.24115008 1.92073702 0.25082074 0.25082130 0.25080868 0.25083169 4.30398194 1.91112132 0.24841924 0.24841955 0.24840802 0.24842969 4.36681379 1.90163308 0.24606390 0.24606399 0.24605349 0.24607388 4.42964564 1.89228375 0.24375655 0.24375633 0.24374683 0.24376608 4.49247749 1.88305948 0.24149243 0.24149179 0.24148322 0.24150152 4.55530935 1.87393874 0.23926549 0.23926439 0.23925671 0.23927417 4.61814120 1.86491416 0.23707376 0.23707228 0.23706545 0.23708206 4.68097305 1.85599506 0.23491936 0.23491759 0.23491157 0.23492728 4.74380491 1.84719606 0.23280541 0.23280339 0.23279815 0.23281296 4.80663676 1.83852553 0.23073340 0.23073118 0.23072669 0.23074059 4.86946861 1.82997985 0.22870196 0.22869960 0.22869581 0.22870881 4.93230047 1.82154634 0.22670759 0.22670513 0.22670202 0.22671410 4.99513232 1.81321227 0.22474675 0.22474421 0.22474175 0.22475295 5.05796417 1.80496849 0.22281675 0.22281408 0.22281224 0.22282264 5.12079603 1.79680551 0.22091474 0.22091189 0.22091064 0.22092033 5.18362788 1.78871509 0.21903827 0.21903521 0.21903452 0.21904359 5.24645973 1.78070031 0.21718796 0.21718473 0.21718458 0.21719302 5.30929158 1.77277874 0.21536822 0.21536486 0.21536524 0.21537302 5.37212344 1.76497042 0.21358397 0.21358054 0.21358142 0.21358852 5.43495529 1.75728302 0.21183686 0.21183335 0.21183471 0.21184118 5.49778714 1.74970752 0.21012418 0.21012056 0.21012239 0.21012827 5.56061900 1.74222476 0.20844069 0.20843696 0.20843923 0.20844455 5.62345085 1.73481790 0.20678180 0.20677799 0.20678069 0.20678545 5.68628270 1.72748205 0.20514602 0.20514219 0.20514529 0.20514947 5.74911456 1.72022241 0.20353439 0.20353058 0.20353407 0.20353764 5.81194641 1.71304295 0.20194760 0.20194384 0.20194770 0.20195066 5.87477826 1.70593945 0.20038427 0.20038056 0.20038477 0.20038715 5.93761012 1.69890526 0.19884252 0.19883883 0.19884338 0.19884522 6.00044197 1.69194125 0.19732242 0.19731873 0.19732361 0.19732496 6.06327382 1.68505614 0.19582610 0.19582241 0.19582759 0.19582848 6.12610567 1.67825705 0.19435526 0.19435154 0.19435702 0.19435748 6.18893753 1.67154214 0.19290928 0.19290552 0.19291128 0.19291136 6.25176938 1.66490250 0.19148578 0.19148194 0.19148798 0.19148772 6.31460123 1.65832805 0.19008208 0.19007814 0.19008444 0.19008389 6.37743309 1.65181071 0.18869604 0.18869196 0.18869852 0.18869772 6.44026494 1.64534575 0.18732635 0.18732212 0.18732893 0.18732791 6.50309679 1.63893415 0.18597315 0.18596877 0.18597581 0.18597459 6.56592865 1.63258403 0.18463840 0.18463388 0.18464116 0.18463972 6.62876050 1.62630686 0.18332490 0.18332027 0.18332778 0.18332612 6.69159235 1.62011054 0.18203454 0.18202981 0.18203754 0.18203566 6.75442421 1.61399529 0.18076720 0.18076239 0.18077032 0.18076821 6.81725606 1.60795468 0.17952102 0.17951615 0.17952428 0.17952193 6.88008791 1.60197873 0.17829327 0.17828836 0.17829668 0.17829408 6.94291976 1.59605698 0.17708115 0.17707623 0.17708474 0.17708187 7.00575162 1.59018153 0.17588264 0.17587772 0.17588640 0.17588327 7.06858347 1.58435007 0.17469717 0.17469226 0.17470111 0.17469771 7.13141532 1.57856647 0.17352574 0.17352083 0.17352985 0.17352620 7.19424718 1.57283775 0.17237009 0.17236519 0.17237436 0.17237046 7.25707903 1.56716915 0.17123141 0.17122651 0.17123583 0.17123172 7.31991088 1.56156060 0.17010953 0.17010461 0.17011407 0.17010976 7.38274274 1.55600670 0.16900290 0.16899796 0.16900756 0.16900306 7.44557459 1.55049946 0.16790940 0.16790442 0.16791416 0.16790950 7.50840644 1.54503194 0.16682721 0.16682217 0.16683204 0.16682724 7.57123830 1.53960116 0.16575550 0.16575040 0.16576040 0.16575548 7.63407015 1.53420899 0.16469470 0.16468954 0.16469965 0.16469462 7.69690200 1.52886063 0.16364607 0.16364085 0.16365109 0.16364594 7.75973385 1.52356131 0.16261089 0.16260562 0.16261597 0.16261070 7.82256571 1.51831321 0.16158963 0.16158433 0.16159479 0.16158939 7.88539756 1.51311468 0.16058184 0.16057653 0.16058710 0.16058155 7.94822941 1.50796218 0.15958660 0.15958129 0.15959196 0.15958625 8.01106127 1.50285299 0.15860318 0.15859788 0.15860865 0.15860279 8.07389312 1.49778687 0.15763150 0.15762621 0.15763707 0.15763106 8.13672497 1.49276580 0.15667203 0.15666674 0.15667769 0.15667155 8.19955683 1.48779248 0.15572541 0.15572011 0.15573115 0.15572490 8.26238868 1.48286861 0.15479204 0.15478672 0.15479784 0.15479149 8.32522053 1.47799380 0.15387175 0.15386641 0.15387761 0.15387116 8.38805239 1.47316536 0.15296380 0.15295844 0.15296973 0.15296318 8.45088424 1.46837883 0.15206699 0.15206163 0.15207299 0.15206634 8.51371609 1.46362905 0.15117999 0.15117461 0.15118604 0.15117930 8.57654794 1.45891147 0.15030158 0.15029619 0.15030769 0.15030086 8.63937980 1.45422298 0.14943096 0.14942556 0.14943712 0.14943022 8.70221165 1.44956244 0.14856783 0.14856241 0.14857404 0.14856707 8.76504350 1.44493070 0.14771238 0.14770693 0.14771862 0.14771160 8.82787536 1.44033031 0.14686523 0.14685974 0.14687149 0.14686442 8.89070721 1.43576515 0.14602732 0.14602179 0.14603359 0.14602649 8.95353906 1.43123962 0.14519970 0.14519413 0.14520599 0.14519885 9.01637092 1.42675781 0.14438337 0.14437776 0.14438968 0.14438250 9.07920277 1.42232256 0.14357900 0.14357336 0.14358533 0.14357811 9.14203462 1.41793481 0.14278680 0.14278113 0.14279316 0.14278588 9.20486648 1.41359330 0.14200642 0.14200074 0.14201281 0.14200548 9.26769833 1.40929479 0.14123704 0.14123135 0.14124347 0.14123608 9.33053018 1.40503488 0.14047753 0.14047182 0.14048400 0.14047655 9.39336203 1.40080898 0.13972671 0.13972098 0.13973320 0.13972570 9.45619389 1.39661343 0.13898360 0.13897786 0.13899012 0.13898258 9.51902574 1.39244602 0.13824760 0.13824186 0.13825416 0.13824657 9.58185759 1.38830589 0.13751848 0.13751272 0.13752506 0.13751743 9.64468945 1.38419299 0.13679619 0.13679042 0.13680280 0.13679512 9.70752130 1.38010754 0.13608077 0.13607500 0.13608740 0.13607968 9.77035315 1.37604958 0.13537222 0.13536645 0.13537889 0.13537112 9.83318501 1.37201884 0.13467049 0.13466471 0.13467718 0.13466938 9.89601686 1.36801480 0.13397542 0.13396964 0.13398214 0.13397429 9.95884871 1.36403667 0.13328681 0.13328102 0.13329355 0.13328567 10.02168056 1.36008362 0.13260443 0.13259863 0.13261119 0.13260327 10.08451242 1.35615502 0.13192810 0.13192231 0.13193489 0.13192694 10.14734427 1.35225072 0.13125779 0.13125199 0.13126459 0.13125661 10.21017612 1.34837133 0.13059361 0.13058781 0.13060044 0.13059243 10.27300798 1.34451816 0.12993589 0.12993009 0.12994274 0.12993470 10.33583983 1.34069294 0.12928504 0.12927924 0.12929192 0.12928384 10.39867168 1.33689729 0.12864145 0.12863566 0.12864835 0.12864024 10.46150354 1.33313209 0.12800531 0.12799952 0.12801223 0.12800409 10.52433539 1.32939709 0.12737654 0.12737076 0.12738348 0.12737531 10.58716724 1.32569091 0.12675478 0.12674900 0.12676174 0.12675355 10.64999910 1.32201142 0.12613949 0.12613371 0.12614647 0.12613825 10.71283095 1.31835634 0.12553008 0.12552430 0.12553707 0.12552884 10.77566280 1.31472377 0.12492607 0.12492030 0.12493307 0.12492483 10.83849465 1.31111245 0.12432715 0.12432137 0.12433415 0.12432590 10.90132651 1.30752174 0.12373314 0.12372735 0.12374015 0.12373189 10.96415836 1.30395149 0.12314400 0.12313821 0.12315101 0.12314275 11.02699021 1.30040178 0.12255975 0.12255395 0.12256676 0.12255849 11.08982207 1.29687279 0.12198042 0.12197461 0.12198743 0.12197916 11.15265392 1.29336478 0.12140606 0.12140025 0.12141308 0.12140479 11.21548577 1.28987800 0.12083674 0.12083093 0.12084376 0.12083547 11.27831763 1.28641274 0.12027252 0.12026671 0.12027955 0.12027125 11.34114948 1.28296922 0.11971345 0.11970764 0.11972048 0.11971218 11.40398133 1.27954765 0.11915958 0.11915376 0.11916661 0.11915830 11.46681319 1.27614806 0.11861089 0.11860508 0.11861793 0.11860961 11.52964504 1.27277023 0.11806733 0.11806152 0.11807437 0.11806604 11.59247689 1.26941361 0.11752873 0.11752292 0.11753578 0.11752745 11.65530874 1.26607723 0.11699485 0.11698904 0.11700191 0.11699357 11.71814060 1.26275985 0.11646537 0.11645956 0.11647243 0.11646409 11.78097245 1.25946026 0.11593997 0.11593417 0.11594703 0.11593869 11.84380430 1.25617752 0.11541843 0.11541262 0.11542549 0.11541715 11.90663616 1.25291134 0.11490066 0.11489485 0.11490772 0.11489938 11.96946801 1.24966213 0.11438677 0.11438096 0.11439383 0.11438548 12.03229986 1.24643097 0.11387701 0.11387120 0.11388408 0.11387573 12.09513172 1.24321934 0.11337176 0.11336595 0.11337883 0.11337048 12.15796357 1.24002896 0.11287143 0.11286562 0.11287849 0.11287014 12.22079542 1.23686145 0.11237640 0.11237059 0.11238347 0.11237511 12.28362728 1.23371826 0.11188702 0.11188122 0.11189409 0.11188573 12.34645913 1.23060044 0.11140354 0.11139774 0.11141061 0.11140225 12.40929098 1.22750857 0.11092610 0.11092029 0.11093316 0.11092480 12.47212283 1.22444255 0.11045464 0.11044884 0.11046171 0.11045335 12.53495469 1.22140151 0.10998896 0.10998316 0.10999603 0.10998767 12.59778654 1.21838379 0.10952863 0.10952284 0.10953570 0.10952734 12.66061839 1.21538697 0.10907305 0.10906727 0.10908013 0.10907177 12.72345025 1.21240821 0.10862153 0.10861576 0.10862860 0.10862025 12.78628210 1.20944454 0.10817333 0.10816756 0.10818040 0.10817205 12.84911395 1.20649325 0.10772778 0.10772202 0.10773485 0.10772650 12.91194581 1.20355225 0.10728437 0.10727861 0.10729144 0.10728309 12.97477766 1.20062029 0.10684278 0.10683703 0.10684985 0.10684150 13.03760951 1.19769701 0.10640294 0.10639719 0.10641000 0.10640166 13.10044137 1.19478288 0.10596495 0.10595921 0.10597202 0.10596367 13.16327322 1.19187899 0.10552909 0.10552335 0.10553615 0.10552781 13.22610507 1.18898670 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