# omega total a= 1 L= 3 0.03141593 0.04632583 0.01942535 0.09424778 0.10601276 0.04865089 0.15707963 0.16491734 0.07735197 0.21991149 0.22261697 0.10524081 0.28274334 0.27873532 0.13206343 0.34557519 0.33298397 0.15763295 0.40840704 0.38512809 0.18180074 0.47123890 0.43500525 0.20447166 0.53407075 0.48252262 0.22560185 0.59690260 0.52765272 0.24519565 0.65973446 0.57041947 0.26329459 0.72256631 0.61088178 0.27996419 0.78539816 0.64912264 0.29528553 0.84823002 0.68523959 0.30934786 0.91106187 0.71933681 0.32224249 0.97389372 0.75151678 0.33405622 1.03672558 0.78187552 0.34486763 1.09955743 0.81050400 0.35474876 1.16238928 0.83748831 0.36376555 1.22522113 0.86291060 0.37197895 1.28805299 0.88685148 0.37944729 1.35088484 0.90939217 0.38622845 1.41371669 0.93061572 0.39238125 1.47654855 0.95060723 0.39796587 1.53938040 0.96945254 0.40304305 1.60221225 0.98723608 0.40767236 1.66504411 1.00403842 0.41191026 1.72787596 1.01993385 0.41580800 1.79070781 1.03498795 0.41940960 1.85353967 1.04925622 0.42275052 1.91637152 1.06278379 0.42585739 1.97920337 1.07560570 0.42874822 2.04203522 1.08774788 0.43143307 2.10486708 1.09922870 0.43391550 2.16769893 1.11006147 0.43619463 2.23053078 1.12025711 0.43826759 2.29336264 1.12982671 0.44013171 2.35619449 1.13878360 0.44178652 2.41902634 1.14714460 0.44323488 2.48185820 1.15493057 0.44448359 2.54469005 1.16216616 0.44554320 2.60752190 1.16887934 0.44642764 2.67035376 1.17510001 0.44715307 2.73318561 1.18085868 0.44773663 2.79601746 1.18618465 0.44819483 2.85884931 1.19110465 0.44854227 2.92168117 1.19564169 0.44879055 2.98451302 1.19981476 0.44894791 3.04734487 1.20363878 0.44901918 3.11017673 1.20712522 0.44900627 3.17300858 1.21028312 0.44890904 3.23584043 1.21312017 0.44872634 3.29867229 1.21564406 0.44845713 3.36150414 1.21786354 0.44810160 3.42433599 1.21978923 0.44766184 3.48716785 1.22143401 0.44714227 3.54999970 1.22281289 0.44654952 3.61283155 1.22394247 0.44589202 3.67566340 1.22484012 0.44517919 3.73849526 1.22552293 0.44442050 3.80132711 1.22600675 0.44362459 3.86415896 1.22630536 0.44279842 3.92699082 1.22642985 0.44194676 3.98982267 1.22638835 0.44107180 4.05265452 1.22618614 0.44017333 4.11548638 1.22582608 0.43924900 4.17831823 1.22530935 0.43829510 4.24115008 1.22463643 0.43730734 4.30398194 1.22380811 0.43628188 4.36681379 1.22282646 0.43521618 4.42964564 1.22169554 0.43410970 4.49247749 1.22042182 0.43296426 4.55530935 1.21901405 0.43178402 4.61814120 1.21748282 0.43057499 4.68097305 1.21583993 0.42934449 4.74380491 1.21409731 0.42810016 4.80663676 1.21226607 0.42684904 4.86946861 1.21035570 0.42559683 4.93230047 1.20837330 0.42434714 4.99513232 1.20632323 0.42310116 5.05796417 1.20420712 0.42185760 5.12079603 1.20202398 0.42061288 5.18362788 1.19977084 0.41936157 5.24645973 1.19744342 0.41809713 5.30929158 1.19503699 0.41681262 5.37212344 1.19254716 0.41550150 5.43495529 1.18997060 0.41415822 5.49778714 1.18730554 0.41277880 5.56061900 1.18455209 0.41136106 5.62345085 1.18171225 0.40990464 5.68628270 1.17878959 0.40841075 5.74911456 1.17578900 0.40688192 5.81194641 1.17271625 0.40532156 5.87477826 1.16957744 0.40373350 5.93761012 1.16637872 0.40212170 6.00044197 1.16312617 0.40049014 6.06327382 1.15982576 0.39884274 6.12610567 1.15648327 0.39718337 6.18893753 1.15310464 0.39551607 6.25176938 1.14969602 0.39384517 6.31460123 1.14626389 0.39217538 6.37743309 1.14281504 0.39051175 6.44026494 1.13935650 0.38885961 6.50309679 1.13589537 0.38722444 6.56592865 1.13243839 0.38561142 6.62876050 1.12899167 0.38402523 6.69159235 1.12556031 0.38246961 6.75442421 1.12214819 0.38094725 6.81725606 1.11875759 0.37945935 6.88008791 1.11538909 0.37800560 6.94291976 1.11204152 0.37658405 7.00575162 1.10871208 0.37519128 7.06858347 1.10539650 0.37382250 7.13141532 1.10208946 0.37247195 7.19424718 1.09878482 0.37113316 7.25707903 1.09547620 0.36979942 7.31991088 1.09215743 0.36846424 7.38274274 1.08882301 0.36712174 7.44557459 1.08546842 0.36576702 7.50840644 1.08209048 0.36439641 7.57123830 1.07868744 0.36300760 7.63407015 1.07525896 0.36159965 7.69690200 1.07180610 0.36017291 7.75973385 1.06833100 0.35872877 7.82256571 1.06483661 0.35726944 7.88539756 1.06132636 0.35579757 7.94822941 1.05780397 0.35431612 8.01106127 1.05427303 0.35282798 8.07389312 1.05073698 0.35133591 8.13672497 1.04719888 0.34984231 8.19955683 1.04366130 0.34834922 8.26238868 1.04012646 0.34685832 8.32522053 1.03659618 0.34537097 8.38805239 1.03307201 0.34388826 8.45088424 1.02955530 0.34241115 8.51371609 1.02604722 0.34094043 8.57654794 1.02254892 0.33947688 8.63937980 1.01906153 0.33802131 8.70221165 1.01558622 0.33657452 8.76504350 1.01212421 0.33513741 8.82787536 1.00867680 0.33371095 8.89070721 1.00524528 0.33229611 8.95353906 1.00183093 0.33089386 9.01637092 0.99843491 0.32950508 9.07920277 0.99505829 0.32813053 9.14203462 0.99170194 0.32677085 9.20486648 0.98836656 0.32542648 9.26769833 0.98505254 0.32409762 9.33053018 0.98176007 0.32278426 9.39336203 0.97848906 0.32148616 9.45619389 0.97523925 0.32020291 9.58185759 0.96880121 0.31767850 9.70752130 0.96244081 0.31520517 9.77035315 0.95928781 0.31398557 9.89601686 0.95303252 0.31157649 10.02168056 0.94684063 0.30920302 10.14734427 0.94070833 0.30686088 10.27300798 0.93463320 0.30454721 10.39867168 0.92861418 0.30226049 10.52433539 0.92265123 0.30000020 10.64999910 0.91674487 0.29776644 10.77566280 0.91089580 0.29555951 10.90132651 0.90510470 0.29337975 11.02699021 0.89937203 0.29122737 11.15265392 0.89369795 0.28910229 11.27831763 0.88808230 0.28700424 11.40398133 0.88252470 0.28493273 11.52964504 0.87702465 0.28288720 11.65530874 0.87158155 0.28086706 11.78097245 0.86619485 0.27887176 11.96946801 0.85821943 0.27592441 12.09513172 0.85297164 0.27398940 12.22079542 0.84777874 0.27207799 12.34645913 0.84264036 0.27018993 12.53495469 0.83503416 0.26740108 12.66061839 0.83003024 0.26557024 12.78628210 0.82507916 0.26376167 12.97477766 0.81775014 0.26108959 13.10044137 0.81292810 0.25933465 13.28893692 0.80578903 0.25674060 13.41460063 0.80109115 0.25503604 13.60309619 0.79413465 0.25251516 13.72875990 0.78955611 0.25085789 13.91725546 0.78277529 0.24840598 14.04291916 0.77831181 0.24679352 14.23141472 0.77170070 0.24440730 14.41991028 0.76518886 0.24205926 14.54557399 0.76090190 0.24051471 14.73406955 0.75455159 0.23822858 14.92256510 0.74829596 0.23597868 15.11106066 0.74213335 0.23376434 15.29955622 0.73606215 0.23158494 15.42521993 0.73206468 0.23015112 15.61371549 0.72614227 0.22802859 15.80221105 0.72030703 0.22593938 15.99070661 0.71455738 0.22388289 16.17920217 0.70889178 0.22185852 16.36769773 0.70330868 0.21986568 16.55619328 0.69780656 0.21790381 16.74468884 0.69238393 0.21597231 16.99601626 0.68527484 0.21344326 17.18451182 0.68003195 0.21158046 17.37300737 0.67486370 0.20974617 17.56150293 0.66976866 0.20793985 17.81283035 0.66308679 0.20557402 18.00132591 0.65815727 0.20383091 18.18982146 0.65329646 0.20211402 18.44114888 0.64692000 0.19986477 18.62964444 0.64221448 0.19820713 18.88097185 0.63604053 0.19603510 19.06946741 0.63148355 0.19443409 19.32079482 0.62550331 0.19233588 19.50929038 0.62108842 0.19078899 19.76061779 0.61529349 0.18876134 20.01194520 0.60960085 0.18677259 20.20044076 0.60539697 0.18530598 20.45176817 0.59987729 0.18338298 20.70309559 0.59445312 0.18149625 20.95442300 0.58912212 0.17964489 21.20575041 0.58388202 0.17782799 21.45707782 0.57873062 0.17604471 21.70840524 0.57366579 0.17429421 21.95973265 0.56868545 0.17257567 22.21106006 0.56378758 0.17088831 22.46238747 0.55897022 0.16923135 22.71371489 0.55423148 0.16760404 23.02787415 0.54841579 0.16561051 23.27920156 0.54384726 0.16404731 23.53052898 0.53935153 0.16251149 23.84468824 0.53383170 0.16062919 24.09601565 0.52949372 0.15915256 24.41017492 0.52416602 0.15734226 24.66150233 0.51997783 0.15592169 24.97566160 0.51483264 0.15417960 25.28982086 0.50978490 0.15247385 25.54114827 0.50581508 0.15113471 25.85530754 0.50093608 0.14949174 26.16946680 0.49614727 0.14788226 26.48362607 0.49144621 0.14630530 26.79778534 0.48683056 0.14475994 27.11194460 0.48229807 0.14324530 27.42610387 0.47784655 0.14176051 27.74026313 0.47347389 0.14030476 28.05442240 0.46917805 0.13887724 28.43141351 0.46412168 0.13720039 28.74557278 0.45998801 0.13583230 29.05973205 0.45592508 0.13449007 29.43672316 0.45114046 0.13291254 29.75088243 0.44722702 0.13162479 30.12787355 0.44261692 0.13011073 30.50486467 0.43809809 0.12862977 30.81902393 0.43440019 0.12742017 31.19601505 0.43004187 0.12599722 31.57300617 0.42576758 0.12460455 31.94999729 0.42157494 0.12324124 32.32698841 0.41746168 0.12190639 32.70397952 0.41342558 0.12059916 33.08097064 0.40946453 0.11931873 33.45796176 0.40557648 0.11806431 33.89778473 0.40113007 0.11663268 34.27477585 0.39739352 0.11543205 34.65176697 0.39372396 0.11425513 35.09158994 0.38952514 0.11291111 35.46858106 0.38599478 0.11178326 35.90840403 0.38195379 0.11049477 36.34822700 0.37799419 0.10923481 36.78804997 0.37411357 0.10800246 37.16504109 0.37084844 0.10696748 37.60486406 0.36710845 0.10578414 38.10751889 0.36292298 0.10446258 38.54734186 0.35933609 0.10333234 38.98716483 0.35581749 0.10222569 39.42698780 0.35236528 0.10114192 39.92964263 0.34849884 0.09993047 40.36946560 0.34518280 0.09889347 40.87212042 0.34146744 0.09773378 41.31194339 0.33827977 0.09674065 41.81459822 0.33470692 0.09562955 42.31725304 0.33120678 0.09454314 42.81990787 0.32777720 0.09348063 43.32256269 0.32441608 0.09244126 43.82521752 0.32112143 0.09142430 44.32787234 0.31789131 0.09042903 44.89335902 0.31433227 0.08933445 45.39601384 0.31123322 0.08838309 45.89866867 0.30819315 0.08745141 46.46415535 0.30484151 0.08642606 47.02964202 0.30156017 0.08542405 47.59512870 0.29834698 0.08444462 48.16061538 0.29519986 0.08348701 48.72610206 0.29211682 0.08255053 49.29158873 0.28909595 0.08163449 49.85707541 0.28613542 0.08073824 50.42256209 0.28323345 0.07986116 51.05088062 0.28007567 0.07890838 51.61636730 0.27729185 0.07806982 52.24468583 0.27426140 0.07715846 52.87300436 0.27129492 0.07626784 53.50132289 0.26839046 0.07539727 54.12964142 0.26554610 0.07454608 54.75795995 0.26276002 0.07371366 55.38627848 0.26003048 0.07289939 56.07742887 0.25709128 0.07202397 56.70574740 0.25447507 0.07124596 57.39689778 0.25165669 0.07040910 58.08804816 0.24889870 0.06959146 58.71636670 0.24644223 0.06886426 59.40751708 0.24379430 0.06808151 60.16149932 0.24096841 0.06724742 60.85264970 0.23843374 0.06650041 61.54380008 0.23595070 0.06576963 62.29778232 0.23329903 0.06499034 63.05176456 0.23070506 0.06422911 63.74291494 0.22837637 0.06354667 64.49689718 0.22588793 0.06281838 65.25087942 0.22345203 0.06210644 66.06769350 0.22087057 0.06135299 66.82167574 0.21853901 0.06067340 67.63848983 0.21606700 0.05995382 68.39247207 0.21383329 0.05930446 69.20928616 0.21146399 0.05861653 70.02610025 0.20914563 0.05794426 70.84291434 0.20687659 0.05728711 71.72256028 0.20448641 0.05659575 72.53937437 0.20231499 0.05596845 73.41902031 0.20002658 0.05530814 74.23583440 0.19794667 0.05470870 75.11548035 0.19575375 0.05407741 75.99512629 0.19360803 0.05346042 76.93760409 0.19135973 0.05281469 77.81725003 0.18930711 0.05222584 78.75972783 0.18715536 0.05160924 79.70220562 0.18505116 0.05100693 80.58185156 0.18312877 0.05045725 81.58716121 0.18097929 0.04984328 82.52963901 0.17900874 0.04928102 83.47211681 0.17707995 0.04873124 84.47742646 0.17506715 0.04815808 85.48273610 0.17309887 0.04759818 86.48804575 0.17117369 0.04705108 87.49335540 0.16929020 0.04651635 88.56149690 0.16733321 0.04596128 89.56680655 0.16553161 0.04545078 90.63494806 0.16365882 0.04492058 91.70308956 0.16182732 0.04440256 92.77123106 0.16003578 0.04389629 93.90220442 0.15818099 0.04337262 94.97034592 0.15646774 0.04288933 96.10131927 0.15469317 0.04238917 97.23229263 0.15295785 0.04190049 98.36326598 0.15126053 0.04142290 99.55707119 0.14950877 0.04093040 100.75087640 0.14779660 0.04044943 101.88184976 0.14620988 0.04000405 103.13848682 0.14448585 0.03952050 104.33229203 0.14288481 0.03907180 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0.10254188 0.02786842 148.31458918 0.10134614 0.02753914 150.07388106 0.10017777 0.02721754 151.83317295 0.09903584 0.02690335 153.59246483 0.09791948 0.02659632 155.41458857 0.09678929 0.02628560 157.23671231 0.09568472 0.02598206 159.12166790 0.09456811 0.02567532 161.00662350 0.09347710 0.02537573 162.89157909 0.09241082 0.02508304 164.77653468 0.09136844 0.02479701 166.72432213 0.09031558 0.02450821 168.73494142 0.08925376 0.02421706 170.68272887 0.08824853 0.02394152 172.69334817 0.08723422 0.02366358 174.76679932 0.08621221 0.02338362 176.84025047 0.08521373 0.02311020 178.91370162 0.08423800 0.02284309 180.98715277 0.08328425 0.02258208 183.12343578 0.08232380 0.02231932 185.32255064 0.08135786 0.02205513 187.45883364 0.08044087 0.02180440 189.72078035 0.07949210 0.02154506 191.91989521 0.07859080 0.02129876 194.18184192 0.07768472 0.02105123 196.50662048 0.07677490 0.02080274 198.83139905 0.07588605 0.02056004 201.15617761 0.07501745 0.02032294 203.54378803 0.07414575 0.02008505 205.93139844 0.07329400 0.01985266 208.38184071 0.07243986 0.01961967 210.83228298 0.07160532 0.01939209 213.28272525 0.07078972 0.01916972 215.79599938 0.06997221 0.01894689 218.37210535 0.06915356 0.01872380 220.94821133 0.06835378 0.01850589 223.52431730 0.06757222 0.01829300 226.16325513 0.06678986 0.01807994 228.86502481 0.06600736 0.01786688 231.56679450 0.06524292 0.01765879 234.26856418 0.06449593 0.01745548 237.03316571 0.06374902 0.01725224 239.79776725 0.06301917 0.01705368 242.68803249 0.06227374 0.01685093 245.51546588 0.06156134 0.01665719 248.40573112 0.06084972 0.01646370 251.35882821 0.06013939 0.01627060 254.31192531 0.05944540 0.01608198 257.32785426 0.05875295 0.01589381 260.34378320 0.05807641 0.01570999 263.42254400 0.05740162 0.01552668 266.50130480 0.05674230 0.01534761 269.64289746 0.05608493 0.01516910 272.84732196 0.05542989 0.01499125 276.05174647 0.05478994 0.01481752 279.31900283 0.05415246 0.01464450 282.58625919 0.05352961 0.01447547 285.91634740 0.05290934 0.01430717 289.30926747 0.05229195 0.01413968 292.70218753 0.05168878 0.01397607 296.15793945 0.05108857 0.01381329 299.67652323 0.05049157 0.01365140 303.19510700 0.04990834 0.01349328 306.77652262 0.04932836 0.01333605 310.42077010 0.04875186 0.01317979 314.06501758 0.04818866 0.01302715