# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.31415927 3.22556526 0.67415334 0.67414548 0.67220539 0.67602791 0.94247780 2.74154716 0.51043231 0.51051218 0.50992203 0.51086557 1.57079633 2.49349858 0.42210824 0.42216346 0.42193912 0.42222870 2.19911486 2.31421600 0.36226059 0.36229058 0.36218430 0.36231243 2.82743339 2.16780469 0.31758707 0.31760079 0.31754572 0.31761609 3.45575192 2.04361244 0.28267111 0.28267695 0.28264832 0.28268917 4.08407045 1.93638005 0.25457002 0.25457095 0.25455743 0.25458154 4.71238898 1.84300083 0.23153923 0.23153731 0.23153290 0.23154650 5.34070751 1.76069399 0.21229807 0.21229527 0.21229664 0.21230248 5.96902604 1.68732324 0.19595099 0.19594724 0.19595239 0.19595348 6.59734457 1.62160704 0.18194587 0.18194132 0.18194898 0.18194707 7.22566310 1.56233481 0.16982566 0.16982072 0.16983008 0.16982598 7.85398163 1.50842010 0.15922211 0.15921700 0.15922753 0.15922185 8.48230016 1.45891654 0.14982583 0.14982036 0.14983170 0.14982520 9.11061870 1.41346684 0.14150228 0.14149658 0.14150849 0.14150137 9.73893723 1.37140776 0.13405143 0.13404572 0.13405801 0.13405035 10.36725576 1.33214823 0.12730244 0.12729682 0.12730934 0.12730125 10.99557429 1.29576065 0.12125601 0.12125041 0.12126305 0.12125477 11.62389282 1.26155677 0.11572880 0.11572309 0.11573577 0.11572755 12.25221135 1.22944540 0.11068848 0.11068275 0.11069543 0.11068722 12.88052988 1.19896849 0.10601537 0.10600968 0.10602231 0.10601412 13.50884841 1.17038505 0.10176827 0.10176261 0.10177515 0.10176703 14.13716694 1.14335572 0.09785911 0.09785352 0.09786595 0.09785788 14.76548547 1.11771503 0.09424532 0.09423981 0.09425210 0.09424413 15.39380400 1.09303761 0.09082077 0.09081528 0.09082740 0.09081962 16.02212253 1.06972601 0.08768253 0.08767709 0.08768906 0.08768140 16.65044106 1.04721784 0.08469231 0.08468695 0.08469876 0.08469120 17.27875959 1.02577725 0.08191401 0.08190873 0.08192037 0.08191293 17.90707813 1.00559873 0.07939432 0.07938911 0.07940058 0.07939326 18.53539666 0.98646762 0.07708098 0.07707585 0.07708715 0.07707995 19.16371519 0.96807246 0.07489866 0.07489361 0.07490473 0.07489765 19.79203372 0.95033797 0.07282954 0.07282456 0.07283550 0.07282856 20.42035225 0.93322831 0.07086546 0.07086056 0.07087133 0.07086450 21.04867078 0.91671018 0.06899899 0.06899417 0.06900475 0.06899805 21.67698931 0.90075280 0.06722334 0.06721860 0.06722901 0.06722243 22.30530784 0.88532764 0.06553235 0.06552768 0.06553792 0.06553146 22.93362637 0.87040819 0.06392038 0.06391579 0.06392585 0.06391951 23.56194490 0.85596983 0.06238228 0.06237776 0.06238765 0.06238142 24.19026343 0.84198957 0.06091331 0.06090886 0.06091859 0.06091248 24.81858196 0.82844598 0.05950914 0.05950476 0.05951433 0.05950833 25.44690049 0.81531892 0.05816576 0.05816146 0.05817087 0.05816497 26.07521902 0.80258937 0.05687945 0.05687521 0.05688446 0.05687867 26.70353756 0.79023944 0.05564674 0.05564258 0.05565167 0.05564598 27.33185609 0.77825237 0.05446446 0.05446036 0.05446931 0.05446372 27.96017462 0.76661240 0.05332967 0.05332564 0.05333444 0.05332894 28.58849315 0.75530471 0.05223965 0.05223568 0.05224434 0.05223893 29.21681168 0.74431536 0.05119188 0.05118797 0.05119649 0.05119118 29.84513021 0.73363119 0.05018402 0.05018017 0.05018856 0.05018333 30.47344874 0.72323979 0.04921391 0.04921012 0.04921838 0.04921324 31.10176727 0.71312942 0.04827954 0.04827581 0.04828393 0.04827888 31.73008580 0.70328898 0.04737902 0.04737535 0.04738335 0.04737838 32.35840433 0.69370795 0.04651062 0.04650700 0.04651488 0.04650998 32.98672286 0.68437635 0.04567268 0.04566912 0.04567688 0.04567206 33.61504139 0.67528464 0.04486368 0.04486017 0.04486781 0.04486307 34.24335992 0.66642377 0.04408217 0.04407871 0.04408623 0.04408157 34.87167845 0.65778513 0.04332679 0.04332338 0.04333080 0.04332620 35.49999699 0.64936054 0.04259628 0.04259292 0.04260023 0.04259570 36.12831552 0.64114223 0.04188947 0.04188615 0.04189335 0.04188889 36.75663405 0.63312279 0.04120522 0.04120195 0.04120906 0.04120466 37.38495258 0.62529516 0.04054251 0.04053929 0.04054629 0.04054196 38.01327111 0.61765263 0.03990035 0.03989717 0.03990408 0.03989981 38.64158964 0.61018879 0.03927782 0.03927468 0.03928149 0.03927728 39.26990817 0.60289752 0.03867405 0.03867095 0.03867767 0.03867352 39.89822670 0.59577298 0.03808822 0.03808517 0.03809179 0.03808770 40.52654523 0.58880958 0.03751956 0.03751655 0.03752309 0.03751905 41.15486376 0.58200200 0.03696734 0.03696437 0.03697082 0.03696684 41.78318229 0.57534512 0.03643088 0.03642795 0.03643431 0.03643039 42.41150082 0.56883405 0.03590952 0.03590662 0.03591291 0.03590903 43.03981935 0.56246411 0.03540264 0.03539978 0.03540599 0.03540216 43.66813788 0.55623079 0.03490966 0.03490683 0.03491296 0.03490918 44.29645642 0.55012978 0.03443001 0.03442722 0.03443327 0.03442954 44.92477495 0.54415694 0.03396317 0.03396041 0.03396639 0.03396271 45.55309348 0.53830831 0.03350864 0.03350592 0.03351182 0.03350819 46.18141201 0.53258009 0.03306595 0.03306326 0.03306909 0.03306550 46.80973054 0.52696863 0.03263464 0.03263198 0.03263774 0.03263420 47.43804907 0.52147042 0.03221429 0.03221166 0.03221735 0.03221385 48.06636760 0.51608211 0.03180448 0.03180188 0.03180751 0.03180405 48.69468613 0.51080046 0.03140484 0.03140227 0.03140783 0.03140441 49.32300466 0.50562236 0.03101499 0.03101245 0.03101795 0.03101457 49.95132319 0.50054482 0.03063458 0.03063207 0.03063751 0.03063417 50.57964172 0.49556497 0.03026328 0.03026080 0.03026617 0.03026287 51.20796025 0.49068004 0.02990077 0.02989832 0.02990363 0.02990036 51.83627878 0.48588737 0.02954674 0.02954432 0.02954957 0.02954634 52.46459731 0.48118440 0.02920091 0.02919851 0.02920370 0.02920051 53.09291585 0.47656865 0.02886299 0.02886061 0.02886576 0.02886260 53.72123438 0.47203774 0.02853272 0.02853037 0.02853546 0.02853234 54.34955291 0.46758939 0.02820985 0.02820753 0.02821256 0.02820947 54.97787144 0.46322136 0.02789414 0.02789184 0.02789681 0.02789376 55.60618997 0.45893154 0.02758534 0.02758307 0.02758799 0.02758497 56.23450850 0.45471784 0.02728325 0.02728099 0.02728587 0.02728288 56.86282703 0.45057829 0.02698763 0.02698540 0.02699023 0.02698727 57.49114556 0.44651095 0.02669830 0.02669609 0.02670087 0.02669794 58.11946409 0.44251396 0.02641505 0.02641287 0.02641759 0.02641469 58.74778262 0.43858554 0.02613769 0.02613553 0.02614021 0.02613734 59.37610115 0.43472394 0.02586605 0.02586391 0.02586854 0.02586570 60.00441968 0.43092750 0.02559995 0.02559783 0.02560242 0.02559960 60.63273821 0.42719459 0.02533922 0.02533712 0.02534166 0.02533888 61.26105675 0.42352365 0.02508370 0.02508162 0.02508612 0.02508336 61.88937528 0.41991315 0.02483325 0.02483119 0.02483564 0.02483291 62.51769381 0.41636165 0.02458770 0.02458566 0.02459008 0.02458737 63.14601234 0.41286770 0.02434693 0.02434491 0.02434928 0.02434660 63.77433087 0.40942995 0.02411079 0.02410878 0.02411312 0.02411046 64.40264940 0.40604706 0.02387915 0.02387716 0.02388146 0.02387883 65.03096793 0.40271775 0.02365189 0.02364992 0.02365417 0.02365157 65.65928646 0.39944075 0.02342888 0.02342693 0.02343114 0.02342856 66.28760499 0.39621488 0.02321000 0.02320807 0.02321225 0.02320969 66.91592352 0.39303894 0.02299515 0.02299324 0.02299738 0.02299484 67.54424205 0.38991182 0.02278422 0.02278232 0.02278642 0.02278391 68.17256058 0.38683239 0.02257709 0.02257521 0.02257928 0.02257678 68.80087911 0.38379960 0.02237367 0.02237180 0.02237584 0.02237337 69.42919764 0.38081240 0.02217386 0.02217201 0.02217601 0.02217356 70.05751618 0.37786980 0.02197757 0.02197573 0.02197970 0.02197727 70.68583471 0.37497080 0.02178469 0.02178288 0.02178681 0.02178440 71.31415324 0.37211447 0.02159516 0.02159336 0.02159726 0.02159487 71.94247177 0.36929987 0.02140888 0.02140709 0.02141095 0.02140859 72.57079030 0.36652612 0.02122576 0.02122398 0.02122782 0.02122547 73.19910883 0.36379234 0.02104573 0.02104397 0.02104777 0.02104545 73.82742736 0.36109768 0.02086871 0.02086697 0.02087074 0.02086843 74.45574589 0.35844132 0.02069463 0.02069290 0.02069664 0.02069435 75.08406442 0.35582247 0.02052342 0.02052170 0.02052541 0.02052314 75.71238295 0.35324034 0.02035499 0.02035329 0.02035697 0.02035472 76.34070148 0.35069418 0.02018930 0.02018761 0.02019126 0.02018903 76.96902001 0.34818325 0.02002627 0.02002459 0.02002821 0.02002600 77.59733854 0.34570684 0.01986583 0.01986417 0.01986776 0.01986556 78.22565707 0.34326424 0.01970793 0.01970628 0.01970985 0.01970767 78.85397561 0.34085479 0.01955251 0.01955087 0.01955442 0.01955225 79.48229414 0.33847783 0.01939951 0.01939789 0.01940140 0.01939925 80.11061267 0.33613270 0.01924888 0.01924726 0.01925075 0.01924862 80.73893120 0.33381879 0.01910055 0.01909895 0.01910241 0.01910029 81.36724973 0.33153549 0.01895448 0.01895289 0.01895633 0.01895422 81.99556826 0.32928219 0.01881062 0.01880904 0.01881245 0.01881036 82.62388679 0.32705833 0.01866891 0.01866734 0.01867073 0.01866866 83.25220532 0.32486334 0.01852932 0.01852776 0.01853112 0.01852907 83.88052385 0.32269667 0.01839178 0.01839024 0.01839357 0.01839153 84.50884238 0.32055779 0.01825627 0.01825473 0.01825805 0.01825602 85.13716091 0.31844617 0.01812272 0.01812120 0.01812449 0.01812248 85.76547944 0.31636130 0.01799111 0.01798960 0.01799287 0.01799087 86.39379797 0.31430269 0.01786139 0.01785989 0.01786313 0.01786115 87.02211650 0.31226986 0.01773352 0.01773203 0.01773525 0.01773328 87.65043504 0.31026232 0.01760746 0.01760598 0.01760917 0.01760722 88.27875357 0.30827962 0.01748317 0.01748170 0.01748487 0.01748293 88.90707210 0.30632131 0.01736061 0.01735915 0.01736231 0.01736038 89.53539063 0.30438696 0.01723976 0.01723831 0.01724144 0.01723953 90.16370916 0.30247612 0.01712057 0.01711913 0.01712224 0.01712034 90.79202769 0.30058838 0.01700301 0.01700158 0.01700467 0.01700278 91.42034622 0.29872334 0.01688705 0.01688563 0.01688870 0.01688682 92.04866475 0.29688060 0.01677265 0.01677124 0.01677429 0.01677243 92.67698328 0.29505975 0.01665979 0.01665839 0.01666142 0.01665957 93.30530181 0.29326043 0.01654843 0.01654704 0.01655005 0.01654821 93.93362034 0.29148226 0.01643855 0.01643716 0.01644015 0.01643833 94.56193887 0.28972487 0.01633011 0.01632873 0.01633170 0.01632989 95.19025740 0.28798792 0.01622308 0.01622172 0.01622467 0.01622286 95.81857593 0.28627104 0.01611745 0.01611609 0.01611902 0.01611723 96.44689447 0.28457391 0.01601318 0.01601183 0.01601474 0.01601296 97.07521300 0.28289619 0.01591024 0.01590890 0.01591179 0.01591002 97.70353153 0.28123755 0.01580861 0.01580728 0.01581016 0.01580840 98.33185006 0.27959768 0.01570827 0.01570695 0.01570981 0.01570806 98.96016859 0.27797627 0.01560919 0.01560788 0.01561072 0.01560898 99.58848712 0.27637300 0.01551135 0.01551005 0.01551287 0.01551114 100.21680565 0.27478759 0.01541473 0.01541343 0.01541623 0.01541452 100.84512418 0.27321975 0.01531929 0.01531800 0.01532079 0.01531909 101.47344271 0.27166918 0.01522503 0.01522375 0.01522652 0.01522483 102.10176124 0.27013561 0.01513192 0.01513064 0.01513340 0.01513171 102.73007977 0.26861877 0.01503993 0.01503867 0.01504141 0.01503973 103.35839830 0.26711839 0.01494906 0.01494780 0.01495052 0.01494886 103.98671683 0.26563420 0.01485927 0.01485802 0.01486072 0.01485907 104.61503536 0.26416596 0.01477055 0.01476930 0.01477200 0.01477035 105.24335390 0.26271341 0.01468288 0.01468164 0.01468432 0.01468268 105.87167243 0.26127630 0.01459625 0.01459501 0.01459767 0.01459605 106.49999096 0.25985440 0.01451062 0.01450940 0.01451204 0.01451043 107.12830949 0.25844747 0.01442599 0.01442478 0.01442741 0.01442580 107.75662802 0.25705528 0.01434234 0.01434113 0.01434375 0.01434215 108.38494655 0.25567760 0.01425966 0.01425845 0.01426105 0.01425946 109.01326508 0.25431421 0.01417791 0.01417672 0.01417930 0.01417772 109.64158361 0.25296490 0.01409710 0.01409591 0.01409848 0.01409691 110.26990214 0.25162945 0.01401720 0.01401602 0.01401858 0.01401701 110.89822067 0.25030765 0.01393820 0.01393702 0.01393957 0.01393801 111.52653920 0.24899930 0.01386008 0.01385891 0.01386144 0.01385990 112.15485773 0.24770420 0.01378283 0.01378167 0.01378418 0.01378265 112.78317626 0.24642215 0.01370644 0.01370528 0.01370778 0.01370625 113.41149479 0.24515296 0.01363088 0.01362973 0.01363222 0.01363070 114.03981333 0.24389644 0.01355616 0.01355501 0.01355748 0.01355597 114.66813186 0.24265240 0.01348224 0.01348110 0.01348356 0.01348206 115.29645039 0.24142067 0.01340912 0.01340799 0.01341044 0.01340894 115.92476892 0.24020106 0.01333680 0.01333567 0.01333810 0.01333662 116.55308745 0.23899341 0.01326524 0.01326412 0.01326654 0.01326506 117.18140598 0.23779753 0.01319445 0.01319333 0.01319574 0.01319427 117.80972451 0.23661326 0.01312441 0.01312330 0.01312569 0.01312423 118.43804304 0.23544044 0.01305510 0.01305400 0.01305638 0.01305492 119.06636157 0.23427891 0.01298652 0.01298542 0.01298780 0.01298635 119.69468010 0.23312849 0.01291866 0.01291757 0.01291993 0.01291849 120.32299863 0.23198905 0.01285150 0.01285041 0.01285276 0.01285133 120.95131716 0.23086042 0.01278503 0.01278395 0.01278629 0.01278486 121.57963569 0.22974245 0.01271925 0.01271818 0.01272050 0.01271908 122.20795422 0.22863500 0.01265414 0.01265307 0.01265538 0.01265397 122.83627276 0.22753792 0.01258969 0.01258863 0.01259093 0.01258952 123.46459129 0.22645108 0.01252589 0.01252483 0.01252712 0.01252572 124.09290982 0.22537432 0.01246274 0.01246168 0.01246396 0.01246257 124.72122835 0.22430751 0.01240022 0.01239917 0.01240143 0.01240005 125.97786541 0.22220321 0.01227703 0.01227599 0.01227823 0.01227686 126.60618394 0.22116546 0.01221635 0.01221531 0.01221755 0.01221618 127.23450247 0.22013714 0.01215626 0.01215523 0.01215745 0.01215610 127.86282100 0.21911812 0.01209676 0.01209574 0.01209795 0.01209660 128.49113953 0.21810827 0.01203784 0.01203682 0.01203902 0.01203768 129.11945806 0.21710748 0.01197949 0.01197848 0.01198067 0.01197933 129.74777659 0.21611563 0.01192170 0.01192069 0.01192287 0.01192154 130.37609512 0.21513260 0.01186447 0.01186346 0.01186563 0.01186431 131.00441365 0.21415827 0.01180778 0.01180678 0.01180894 0.01180762 132.26105072 0.21223528 0.01169601 0.01169502 0.01169716 0.01169585 132.88936925 0.21128640 0.01164091 0.01163993 0.01164205 0.01164075 133.51768778 0.21034578 0.01158633 0.01158535 0.01158747 0.01158617 134.14600631 0.20941332 0.01153226 0.01153128 0.01153339 0.01153210 134.77432484 0.20848892 0.01147869 0.01147771 0.01147981 0.01147853 135.40264337 0.20757246 0.01142561 0.01142464 0.01142673 0.01142545 136.03096190 0.20666386 0.01137302 0.01137206 0.01137414 0.01137287 137.28759896 0.20486982 0.01126928 0.01126832 0.01127038 0.01126913 137.91591749 0.20398419 0.01121811 0.01121716 0.01121921 0.01121796 138.54423602 0.20310602 0.01116741 0.01116646 0.01116851 0.01116726 139.17255455 0.20223523 0.01111716 0.01111622 0.01111825 0.01111701 139.80087308 0.20137172 0.01106736 0.01106642 0.01106845 0.01106721 141.05751015 0.19966619 0.01096909 0.01096816 0.01097017 0.01096894 141.68582868 0.19882400 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