# omega total a= 1 L= 3 0.03141593 0.04708475 0.02004198 0.09424778 0.10806928 0.05033064 0.15707963 0.16805829 0.07991783 0.21991149 0.22652713 0.10843054 0.28274334 0.28304326 0.13556735 0.34557519 0.33730201 0.16112704 0.40840704 0.38910632 0.18499160 0.47123890 0.43836618 0.20712573 0.53407075 0.48508843 0.22756874 0.59690260 0.52934757 0.24641066 0.65973446 0.57125981 0.26377109 0.72256631 0.61096598 0.27978538 0.78539816 0.64860830 0.29458560 0.84823002 0.68431588 0.30828865 0.91106187 0.71819257 0.32098620 0.97389372 0.75032274 0.33275000 1.03672558 0.78077217 0.34363296 1.09955743 0.80958922 0.35367049 1.16238928 0.83681396 0.36288866 1.22522113 0.86248757 0.37131278 1.28805299 0.88665961 0.37897407 1.35088484 0.90939439 0.38591574 1.41371669 0.93077369 0.39219570 1.47654855 0.95089532 0.39788578 1.53938040 0.96986695 0.40306667 1.60221225 0.98779553 0.40781875 1.66504411 1.00477744 0.41221350 1.72787596 1.02089172 0.41630729 1.79070781 1.03619526 0.42013698 1.85353967 1.05072099 0.42371800 1.91637152 1.06448012 0.42704623 1.97920337 1.07746869 0.43010358 2.04203522 1.08967658 0.43286608 2.10486708 1.10109707 0.43531260 2.16769893 1.11173509 0.43743250 2.23053078 1.12161248 0.43923068 2.29336264 1.13076919 0.44072912 2.35619449 1.13926070 0.44196478 2.41902634 1.14715200 0.44298438 2.48185820 1.15451080 0.44383828 2.54469005 1.16140079 0.44457418 2.60752190 1.16787656 0.44523224 2.67035376 1.17398007 0.44584164 2.73318561 1.17973880 0.44641851 2.79601746 1.18516571 0.44696565 2.85884931 1.19026029 0.44747334 2.92168117 1.19501159 0.44792191 2.98451302 1.19940260 0.44828579 3.04734487 1.20341583 0.44853866 3.11017673 1.20703928 0.44865909 3.17300858 1.21027123 0.44863518 3.23584043 1.21312276 0.44846720 3.29867229 1.21561740 0.44816750 3.36150414 1.21778771 0.44775767 3.42433599 1.21967039 0.44726408 3.48716785 1.22130092 0.44671298 3.54999970 1.22270943 0.44612655 3.61283155 1.22391830 0.44552039 3.67566340 1.22494124 0.44490252 3.73849526 1.22578381 0.44427353 3.80132711 1.22644436 0.44362725 3.86415896 1.22691572 0.44295216 3.92699082 1.22718741 0.44223333 3.98982267 1.22724840 0.44145496 4.05265452 1.22709029 0.44060337 4.11548638 1.22671038 0.43966995 4.17831823 1.22611373 0.43865318 4.24115008 1.22531368 0.43755935 4.30398194 1.22433039 0.43640130 4.36681379 1.22318776 0.43519576 4.42964564 1.22190975 0.43395998 4.49247749 1.22051686 0.43270855 4.55530935 1.21902387 0.43145122 4.61814120 1.21743898 0.43019206 4.68097305 1.21576422 0.42892978 4.74380491 1.21399717 0.42765919 4.80663676 1.21213308 0.42637311 4.86946861 1.21016712 0.42506431 4.93230047 1.20809639 0.42372742 4.99513232 1.20592155 0.42236032 5.05796417 1.20364746 0.42096476 5.12079603 1.20128340 0.41954659 5.18362788 1.19884214 0.41811490 5.24645973 1.19633848 0.41668076 5.30929158 1.19378728 0.41525533 5.37212344 1.19120146 0.41384814 5.43495529 1.18859033 0.41246548 5.49778714 1.18595832 0.41110928 5.56061900 1.18330486 0.40977692 5.62345085 1.18062454 0.40846147 5.68628270 1.17790837 0.40715272 5.74911456 1.17514552 0.40583886 5.81194641 1.17232541 0.40450834 5.87477826 1.16943950 0.40315155 5.93761012 1.16648321 0.40176254 6.00044197 1.16345688 0.40033996 6.06327382 1.16036583 0.39888710 6.12610567 1.15722000 0.39741154 6.18893753 1.15403229 0.39592363 6.25176938 1.15081644 0.39443458 6.31460123 1.14758495 0.39295447 6.37743309 1.14434732 0.39149068 6.44026494 1.14110854 0.39004646 6.50309679 1.13786826 0.38862018 6.56592865 1.13462120 0.38720567 6.62876050 1.13135794 0.38579304 6.69159235 1.12806634 0.38436993 6.75442421 1.12473320 0.38292304 6.81725606 1.12134643 0.38144019 6.88008791 1.11789701 0.37991213 6.94291976 1.11438023 0.37833362 7.00575162 1.11079670 0.37670445 7.06858347 1.10715248 0.37502947 7.13141532 1.10345842 0.37331803 7.19424718 1.09972897 0.37158285 7.25707903 1.09598080 0.36983872 7.31991088 1.09223104 0.36810086 7.38274274 1.08849554 0.36638336 7.44557459 1.08478785 0.36469812 7.50840644 1.08111828 0.36305407 7.57123830 1.07749326 0.36145658 7.63407015 1.07391563 0.35990765 7.69690200 1.07038473 0.35840608 7.75973385 1.06689734 0.35694828 7.82256571 1.06344810 0.35552874 7.88539756 1.06003055 0.35414090 7.94822941 1.05663789 0.35277797 8.01106127 1.05326382 0.35143363 8.07389312 1.04990274 0.35010224 8.13672497 1.04655035 0.34877942 8.19955683 1.04320362 0.34746197 8.26238868 1.03986071 0.34614783 8.32522053 1.03652098 0.34483610 8.38805239 1.03318416 0.34352620 8.45088424 1.02985065 0.34221823 8.51371609 1.02652091 0.34091231 8.57654794 1.02319549 0.33960868 8.63937980 1.01987471 0.33830736 8.70221165 1.01655879 0.33700829 8.76504350 1.01324784 0.33571131 8.82787536 1.00994180 0.33441609 8.89070721 1.00664066 0.33312240 8.95353906 1.00334453 0.33183008 9.01637092 1.00005381 0.33053927 9.07920277 0.99676892 0.32925012 9.14203462 0.99349046 0.32796301 9.20486648 0.99021918 0.32667840 9.26769833 0.98695604 0.32539701 9.33053018 0.98370199 0.32411952 9.39336203 0.98045787 0.32284657 9.45619389 0.97722451 0.32157875 9.58185759 0.97079280 0.31906049 9.70752130 0.96441109 0.31656759 9.77035315 0.96123977 0.31533107 9.89601686 0.95493685 0.31287802 10.02168056 0.94868727 0.31045129 10.14734427 0.94249112 0.30805031 10.27300798 0.93634875 0.30567478 10.39867168 0.93026090 0.30332487 10.52433539 0.92422855 0.30100101 10.64999910 0.91825295 0.29870394 10.77566280 0.91233522 0.29643437 10.90132651 0.90647631 0.29419284 11.02699021 0.90067690 0.29197973 11.15265392 0.89493729 0.28979512 11.27831763 0.88925755 0.28763891 11.40398133 0.88363759 0.28551086 11.52964504 0.87807715 0.28341067 11.65530874 0.87257599 0.28133804 11.78097245 0.86713382 0.27929270 11.96946801 0.85908058 0.27627531 12.09513172 0.85378470 0.27429718 12.22079542 0.84854684 0.27234558 12.34645913 0.84336661 0.27042024 12.53495469 0.83570339 0.26758088 12.66061839 0.83066523 0.26571989 12.78628210 0.82568287 0.26388394 12.97477766 0.81831236 0.26117588 13.10044137 0.81346622 0.25940027 13.28893692 0.80629614 0.25677999 13.41460063 0.80158079 0.25506093 13.60309619 0.79460245 0.25252235 13.72875990 0.79001195 0.25085569 13.91725546 0.78321646 0.24839273 14.04291916 0.77874501 0.24677458 14.23141472 0.77212408 0.24438182 14.41991028 0.76560436 0.24202903 14.54557399 0.76131295 0.24048207 14.73406955 0.75495684 0.23819312 14.92256510 0.74869616 0.23594109 15.11106066 0.74252904 0.23372513 15.29955622 0.73645370 0.23154445 15.42521993 0.73245363 0.23010992 15.61371549 0.72652752 0.22798651 15.80221105 0.72068876 0.22589658 15.99070661 0.71493577 0.22383951 16.17920217 0.70926695 0.22181469 16.36769773 0.70368076 0.21982151 16.55619328 0.69817567 0.21785939 16.74468884 0.69275017 0.21592773 16.99601626 0.68563740 0.21339857 17.18451182 0.68039185 0.21153577 17.37300737 0.67522101 0.20970154 17.56150293 0.67012346 0.20789533 17.81283035 0.66343835 0.20552972 18.00132591 0.65850648 0.20378683 18.18982146 0.65364336 0.20207019 18.44114888 0.64726392 0.19982132 18.62964444 0.64255622 0.19816400 18.88097185 0.63637943 0.19599244 19.06946741 0.63182037 0.19439180 19.32079482 0.62583741 0.19229412 19.50929038 0.62142053 0.19074764 19.76061779 0.61562300 0.18872056 20.01194520 0.60992782 0.18673240 20.20044076 0.60572207 0.18526624 20.45176817 0.60019993 0.18334386 20.70309559 0.59477335 0.18145775 20.95442300 0.58943999 0.17960702 21.20575041 0.58419757 0.17779076 21.45707782 0.57904389 0.17600811 21.70840524 0.57397681 0.17425824 21.95973265 0.56899425 0.17254034 22.21106006 0.56409420 0.17085360 22.46238747 0.55927470 0.16919727 22.71371489 0.55453384 0.16757059 23.02787415 0.54871555 0.16557783 23.27920156 0.54414496 0.16401524 23.53052898 0.53964720 0.16248001 23.84468824 0.53412487 0.16059844 24.09601565 0.52978492 0.15912239 24.41017492 0.52445479 0.15731281 24.66150233 0.52026469 0.15589279 24.97566160 0.51511713 0.15415139 25.28982086 0.51006706 0.15244631 25.54114827 0.50609540 0.15110770 25.85530754 0.50121413 0.14946537 26.16946680 0.49642307 0.14785651 26.48362607 0.49171980 0.14628016 26.79778534 0.48710197 0.14473540 27.11194460 0.48256732 0.14322133 27.42610387 0.47811368 0.14173711 27.74026313 0.47373892 0.14028191 28.05442240 0.46944101 0.13885492 28.43141351 0.46438219 0.13717870 28.74557278 0.46024651 0.13581112 29.05973205 0.45618159 0.13446937 29.43672316 0.45139462 0.13289242 29.75088243 0.44747925 0.13160512 30.12787355 0.44286687 0.13009160 30.50486467 0.43834578 0.12861116 30.81902393 0.43464604 0.12740197 31.19601505 0.43028553 0.12597951 31.57300617 0.42600908 0.12458731 31.94999729 0.42181432 0.12322445 32.32698841 0.41769896 0.12189005 32.70397952 0.41366080 0.12058324 33.08097064 0.40969771 0.11930322 33.45796176 0.40580766 0.11804920 33.89778473 0.40135894 0.11661802 34.27477585 0.39762045 0.11541776 34.65176697 0.39394898 0.11424119 35.09158994 0.38974797 0.11289758 35.46858106 0.38621575 0.11177006 35.90840403 0.38217264 0.11048195 36.34822700 0.37821094 0.10922234 36.78804997 0.37432826 0.10799034 37.16504109 0.37106139 0.10695565 37.60486406 0.36731940 0.10577263 38.10751889 0.36313169 0.10445143 38.54734186 0.35954287 0.10332148 38.98716483 0.35602237 0.10221512 39.42698780 0.35256830 0.10113163 39.92964263 0.34869976 0.09992049 40.36946560 0.34538192 0.09888375 40.87212042 0.34166453 0.09772434 41.31194339 0.33847512 0.09673145 41.81459822 0.33490031 0.09562061 42.31725304 0.33139825 0.09453445 42.81990787 0.32796678 0.09347219 43.32256269 0.32460381 0.09243305 43.82521752 0.32130733 0.09141631 44.32787234 0.31807543 0.09042126 44.89335902 0.31451440 0.08932691 45.39601384 0.31141363 0.08837575 45.89866867 0.30837186 0.08744426 46.46415535 0.30501835 0.08641911 47.02964202 0.30173517 0.08541730 47.59512870 0.29852018 0.08443806 48.16061538 0.29537129 0.08348064 48.72610206 0.29228651 0.08254433 49.29158873 0.28926394 0.08162846 49.85707541 0.28630173 0.08073237 50.42256209 0.28339813 0.07985545 51.05088062 0.28023856 0.07890283 51.61636730 0.27745316 0.07806442 52.24468583 0.27442099 0.07715321 52.87300436 0.27145283 0.07626274 53.50132289 0.26854670 0.07539231 54.12964142 0.26570072 0.07454126 54.75795995 0.26291306 0.07370897 55.38627848 0.26018195 0.07289482 56.07742887 0.25724107 0.07201953 56.70574740 0.25462336 0.07124163 57.39689778 0.25180337 0.07040490 58.08804816 0.24904379 0.06958737 58.71636670 0.24658591 0.06886028 59.40751708 0.24393646 0.06807763 60.16149932 0.24110894 0.06724366 60.85264970 0.23857281 0.06649674 61.54380008 0.23608834 0.06576606 62.29778232 0.23343514 0.06498687 63.05176456 0.23083967 0.06422574 63.74291494 0.22850964 0.06354338 64.49689718 0.22601976 0.06281517 65.25087942 0.22358245 0.06210331 66.06769350 0.22099949 0.06134995 66.82167574 0.21866659 0.06067044 67.63848983 0.21619314 0.05995095 68.39247207 0.21395814 0.05930165 69.20928616 0.21158746 0.05861380 70.02610025 0.20926775 0.05794160 70.84291434 0.20699739 0.05728452 71.72256028 0.20460583 0.05659323 72.53937437 0.20243314 0.05596599 73.41902031 0.20014340 0.05530574 74.23583440 0.19806228 0.05470636 75.11548035 0.19586808 0.05407513 75.99512629 0.19372111 0.05345820 76.93760409 0.19147150 0.05281253 77.81725003 0.18941769 0.05222373 78.75972783 0.18726469 0.05160718 79.70220562 0.18515926 0.05100493 80.58185156 0.18323575 0.05045529 81.58716121 0.18108502 0.04984137 82.52963901 0.17911332 0.04927916 83.47211681 0.17718340 0.04872942 84.47742646 0.17516942 0.04815632 85.48273610 0.17320000 0.04759646 86.48804575 0.17127369 0.04704940 87.49335540 0.16938910 0.04651470 88.56149690 0.16743097 0.04595968 89.56680655 0.16562831 0.04544921 90.63494806 0.16375443 0.04491905 91.70308956 0.16192186 0.04440107 92.77123106 0.16012927 0.04389483 93.90220442 0.15827340 0.04337119 94.97034592 0.15655915 0.04288794 96.10131927 0.15478354 0.04238781 97.23229263 0.15304721 0.04189916 98.36326598 0.15134889 0.04142160 99.55707119 0.14959611 0.04092913 100.75087640 0.14788294 0.04044819 101.88184976 0.14629529 0.04000284 103.13848682 0.14457026 0.03951932 104.33229203 0.14296827 0.03907064 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0.10260174 0.02786779 148.31458918 0.10140530 0.02753852 150.07388106 0.10023625 0.02721693 151.83317295 0.09909366 0.02690275 153.59246483 0.09797664 0.02659573 155.41458857 0.09684579 0.02628503 157.23671231 0.09574058 0.02598149 159.12166790 0.09462331 0.02567476 161.00662350 0.09353166 0.02537518 162.89157909 0.09246476 0.02508250 164.77653468 0.09142176 0.02479648 166.72432213 0.09036829 0.02450769 168.73494142 0.08930586 0.02421655 170.68272887 0.08830004 0.02394102 172.69334817 0.08728513 0.02366308 174.76679932 0.08626252 0.02338314 176.84025047 0.08526346 0.02310973 178.91370162 0.08428716 0.02284263 180.98715277 0.08333285 0.02258162 183.12343578 0.08237184 0.02231887 185.32255064 0.08140534 0.02205469 187.45883364 0.08048781 0.02180397 189.72078035 0.07953849 0.02154463 191.91989521 0.07863666 0.02129834 194.18184192 0.07773005 0.02105082 196.50662048 0.07681970 0.02080233 198.83139905 0.07593033 0.02055964 201.15617761 0.07506122 0.02032254 203.54378803 0.07418901 0.02008466 205.93139844 0.07333676 0.01985227 208.38184071 0.07248212 0.01961930 210.83228298 0.07164710 0.01939172 213.28272525 0.07083102 0.01916936 215.79599938 0.07001303 0.01894653 218.37210535 0.06919390 0.01872344 220.94821133 0.06839366 0.01850555 223.52431730 0.06761164 0.01829266 226.16325513 0.06682882 0.01807960 228.86502481 0.06604586 0.01786655 231.56679450 0.06528098 0.01765846 234.26856418 0.06453356 0.01745516 237.03316571 0.06378621 0.01725193 239.79776725 0.06305593 0.01705337 242.68803249 0.06231007 0.01685062 245.51546588 0.06159726 0.01665689 248.40573112 0.06088522 0.01646341 251.35882821 0.06017447 0.01627031 254.31192531 0.05948008 0.01608169 257.32785426 0.05878722 0.01589352 260.34378320 0.05811029 0.01570971 263.42254400 0.05743511 0.01552641 266.50130480 0.05677540 0.01534734 269.64289746 0.05611765 0.01516883 272.84732196 0.05546222 0.01499098 276.05174647 0.05482190 0.01481726 279.31900283 0.05418405 0.01464424 282.58625919 0.05356084 0.01447522 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