# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.31415927 3.22586281 0.67417746 0.67419821 0.67225850 0.67605017 0.94247780 2.74124777 0.51035034 0.51041951 0.50982971 0.51078306 1.57079633 2.49326999 0.42203965 0.42208455 0.42186019 0.42215983 2.19911486 2.31399067 0.36219628 0.36222205 0.36211580 0.36224803 2.82743339 2.16760247 0.31752985 0.31754186 0.31748674 0.31755893 3.45575192 2.04349767 0.28263954 0.28264348 0.28261484 0.28265764 4.08407045 1.93642146 0.25458034 0.25458065 0.25456709 0.25459190 4.71238898 1.84285508 0.23150312 0.23150061 0.23149622 0.23151042 5.34070751 1.76061851 0.21227927 0.21227596 0.21227733 0.21228371 5.96902604 1.68726827 0.19593448 0.19593019 0.19593533 0.19593700 6.59734457 1.62156843 0.18193290 0.18192799 0.18193566 0.18193412 7.22566310 1.56223770 0.16979997 0.16979474 0.16980412 0.16980031 7.85398163 1.50836677 0.15920580 0.15920061 0.15921114 0.15920555 8.48230016 1.45896323 0.14983464 0.14982927 0.14984061 0.14983399 9.11061870 1.41321242 0.14143559 0.14143002 0.14144191 0.14143470 9.73893723 1.37141922 0.13405217 0.13404652 0.13405880 0.13405110 10.36725576 1.33233017 0.12734539 0.12733973 0.12735223 0.12734421 10.99557429 1.29580818 0.12126567 0.12125993 0.12127257 0.12126443 11.62389282 1.26147092 0.11570591 0.11570024 0.11571294 0.11570465 12.25221135 1.22947269 0.11069331 0.11068757 0.11070025 0.11069204 12.88052988 1.19907688 0.10604006 0.10603435 0.10604697 0.10603881 13.50884841 1.17037811 0.10176471 0.10175904 0.10177159 0.10176347 14.13716694 1.14313958 0.09780473 0.09779909 0.09781153 0.09780350 14.76548547 1.11749582 0.09419043 0.09418485 0.09419714 0.09418923 15.39380400 1.09285253 0.09077430 0.09076882 0.09078095 0.09077313 16.02212253 1.06942282 0.08760729 0.08760188 0.08761385 0.08760615 16.65044106 1.04681803 0.08459382 0.08458844 0.08460025 0.08459270 17.27875959 1.02547898 0.08184028 0.08183499 0.08184664 0.08183919 17.90707813 1.00556153 0.07938404 0.07937883 0.07939030 0.07938298 18.53539666 0.98646772 0.07707978 0.07707465 0.07708595 0.07707875 19.16371519 0.96807281 0.07489756 0.07489250 0.07490362 0.07489655 19.79203372 0.95033852 0.07282851 0.07282353 0.07283448 0.07282753 20.42035225 0.93322901 0.07086451 0.07085960 0.07087037 0.07086355 21.04867078 0.91671102 0.06899809 0.06899327 0.06900386 0.06899716 21.67698931 0.90075375 0.06722250 0.06721776 0.06722817 0.06722159 22.30530784 0.88532867 0.06553156 0.06552689 0.06553713 0.06553067 22.93362637 0.87040930 0.06391963 0.06391504 0.06392510 0.06391876 23.56194490 0.85597099 0.06238157 0.06237704 0.06238694 0.06238071 24.19026343 0.84199078 0.06091263 0.06090818 0.06091791 0.06091180 24.81858196 0.82844723 0.05950850 0.05950412 0.05951369 0.05950768 25.44690049 0.81532019 0.05816515 0.05816084 0.05817025 0.05816435 26.07521902 0.80259066 0.05687886 0.05687462 0.05688388 0.05687808 26.70353756 0.79024075 0.05564618 0.05564201 0.05565111 0.05564542 27.33185609 0.77825368 0.05446392 0.05445982 0.05446877 0.05446318 27.96017462 0.76661372 0.05332915 0.05332511 0.05333392 0.05332842 28.58849315 0.75530603 0.05223915 0.05223517 0.05224383 0.05223843 29.21681168 0.74431668 0.05119139 0.05118748 0.05119600 0.05119069 29.84513021 0.73363251 0.05018355 0.05017970 0.05018809 0.05018286 30.47344874 0.72324110 0.04921346 0.04920967 0.04921792 0.04921279 31.10176727 0.71313072 0.04827910 0.04827537 0.04828349 0.04827844 31.73008580 0.70329028 0.04737860 0.04737492 0.04738292 0.04737795 32.35840433 0.69370924 0.04651020 0.04650658 0.04651446 0.04650957 32.98672286 0.68437762 0.04567228 0.04566871 0.04567647 0.04567166 33.61504139 0.67528590 0.04486329 0.04485978 0.04486742 0.04486268 34.24335992 0.66642502 0.04408179 0.04407832 0.04408585 0.04408119 34.87167845 0.65778637 0.04332642 0.04332300 0.04333042 0.04332583 35.49999699 0.64936177 0.04259592 0.04259256 0.04259987 0.04259534 36.12831552 0.64114344 0.04188911 0.04188579 0.04189300 0.04188854 36.75663405 0.63312398 0.04120488 0.04120161 0.04120871 0.04120431 37.38495258 0.62529634 0.04054217 0.04053895 0.04054595 0.04054162 38.01327111 0.61765380 0.03990002 0.03989684 0.03990375 0.03989948 38.64158964 0.61018994 0.03927750 0.03927436 0.03928117 0.03927696 39.26990817 0.60289865 0.03867373 0.03867064 0.03867735 0.03867320 39.89822670 0.59577409 0.03808791 0.03808485 0.03809148 0.03808739 40.52654523 0.58881068 0.03751926 0.03751624 0.03752278 0.03751875 41.15486376 0.58200308 0.03696705 0.03696407 0.03697052 0.03696654 41.78318229 0.57534619 0.03643059 0.03642765 0.03643402 0.03643009 42.41150082 0.56883511 0.03590923 0.03590633 0.03591262 0.03590875 43.03981935 0.56246515 0.03540236 0.03539950 0.03540570 0.03540188 43.66813788 0.55623181 0.03490938 0.03490655 0.03491268 0.03490890 44.29645642 0.55013078 0.03442974 0.03442694 0.03443300 0.03442927 44.92477495 0.54415793 0.03396290 0.03396015 0.03396612 0.03396244 45.55309348 0.53830928 0.03350838 0.03350566 0.03351156 0.03350792 46.18141201 0.53258105 0.03306569 0.03306300 0.03306883 0.03306524 46.80973054 0.52696957 0.03263439 0.03263173 0.03263749 0.03263394 47.43804907 0.52147136 0.03221404 0.03221141 0.03221710 0.03221360 48.06636760 0.51608303 0.03180424 0.03180164 0.03180726 0.03180380 48.69468613 0.51080136 0.03140460 0.03140203 0.03140759 0.03140417 49.32300466 0.50562325 0.03101475 0.03101221 0.03101771 0.03101433 49.95132319 0.50054569 0.03063435 0.03063184 0.03063727 0.03063393 50.57964172 0.49556583 0.03026305 0.03026057 0.03026594 0.03026264 51.20796025 0.49068089 0.02990054 0.02989809 0.02990340 0.02990014 51.83627878 0.48588821 0.02954652 0.02954409 0.02954934 0.02954612 52.46459731 0.48118522 0.02920068 0.02919828 0.02920348 0.02920029 53.09291585 0.47656946 0.02886277 0.02886039 0.02886554 0.02886238 53.72123438 0.47203854 0.02853251 0.02853016 0.02853524 0.02853212 54.34955291 0.46759017 0.02820964 0.02820731 0.02821235 0.02820926 54.97787144 0.46322214 0.02789393 0.02789162 0.02789660 0.02789355 55.60618997 0.45893230 0.02758513 0.02758286 0.02758778 0.02758476 56.23450850 0.45471859 0.02728304 0.02728079 0.02728566 0.02728267 56.86282703 0.45057902 0.02698743 0.02698520 0.02699003 0.02698707 57.49114556 0.44651167 0.02669810 0.02669589 0.02670067 0.02669774 58.11946409 0.44251467 0.02641485 0.02641267 0.02641740 0.02641450 58.74778262 0.43858624 0.02613750 0.02613534 0.02614002 0.02613715 59.37610115 0.43472463 0.02586586 0.02586372 0.02586835 0.02586551 60.00441968 0.43092818 0.02559976 0.02559764 0.02560223 0.02559941 60.63273821 0.42719526 0.02533903 0.02533693 0.02534147 0.02533869 61.26105675 0.42352431 0.02508352 0.02508144 0.02508594 0.02508318 61.88937528 0.41991380 0.02483306 0.02483100 0.02483546 0.02483273 62.51769381 0.41636228 0.02458752 0.02458548 0.02458990 0.02458719 63.14601234 0.41286833 0.02434675 0.02434472 0.02434910 0.02434642 63.77433087 0.40943057 0.02411061 0.02410860 0.02411294 0.02411028 64.40264940 0.40604767 0.02387897 0.02387699 0.02388128 0.02387865 65.03096793 0.40271834 0.02365171 0.02364974 0.02365400 0.02365139 65.65928646 0.39944134 0.02342870 0.02342675 0.02343097 0.02342839 66.28760499 0.39621546 0.02320983 0.02320790 0.02321208 0.02320952 66.91592352 0.39303951 0.02299498 0.02299307 0.02299721 0.02299467 67.54424205 0.38991238 0.02278405 0.02278215 0.02278626 0.02278374 68.17256058 0.38683294 0.02257692 0.02257504 0.02257911 0.02257662 68.80087911 0.38380014 0.02237351 0.02237164 0.02237567 0.02237320 69.42919764 0.38081294 0.02217370 0.02217185 0.02217585 0.02217340 70.05751618 0.37787032 0.02197740 0.02197557 0.02197954 0.02197711 70.68583471 0.37497132 0.02178453 0.02178272 0.02178665 0.02178424 71.31415324 0.37211498 0.02159500 0.02159320 0.02159710 0.02159471 71.94247177 0.36930037 0.02140872 0.02140693 0.02141080 0.02140843 72.57079030 0.36652661 0.02122560 0.02122383 0.02122766 0.02122532 73.19910883 0.36379282 0.02104558 0.02104382 0.02104762 0.02104529 73.82742736 0.36109816 0.02086856 0.02086682 0.02087059 0.02086828 74.45574589 0.35844179 0.02069448 0.02069275 0.02069649 0.02069420 75.08406442 0.35582293 0.02052327 0.02052155 0.02052526 0.02052299 75.71238295 0.35324080 0.02035485 0.02035314 0.02035682 0.02035457 76.34070148 0.35069463 0.02018915 0.02018746 0.02019112 0.02018888 76.96902001 0.34818369 0.02002612 0.02002444 0.02002807 0.02002585 77.59733854 0.34570727 0.01986569 0.01986402 0.01986762 0.01986542 78.22565707 0.34326467 0.01970779 0.01970614 0.01970971 0.01970752 78.85397561 0.34085522 0.01955237 0.01955073 0.01955427 0.01955211 79.48229414 0.33847825 0.01939937 0.01939774 0.01940126 0.01939911 80.11061267 0.33613311 0.01924874 0.01924712 0.01925061 0.01924848 80.73893120 0.33381920 0.01910041 0.01909881 0.01910227 0.01910015 81.36724973 0.33153589 0.01895434 0.01895275 0.01895619 0.01895409 81.99556826 0.32928259 0.01881048 0.01880890 0.01881231 0.01881023 82.62388679 0.32705872 0.01866878 0.01866721 0.01867060 0.01866852 83.25220532 0.32486372 0.01852918 0.01852763 0.01853099 0.01852893 83.88052385 0.32269705 0.01839165 0.01839010 0.01839344 0.01839140 84.50884238 0.32055816 0.01825613 0.01825460 0.01825791 0.01825589 85.13716091 0.31844653 0.01812259 0.01812107 0.01812436 0.01812235 85.76547944 0.31636166 0.01799098 0.01798947 0.01799274 0.01799074 86.39379797 0.31430305 0.01786126 0.01785976 0.01786300 0.01786102 87.02211650 0.31227020 0.01773339 0.01773190 0.01773512 0.01773315 87.65043504 0.31026266 0.01760733 0.01760585 0.01760905 0.01760709 88.27875357 0.30827996 0.01748304 0.01748157 0.01748475 0.01748281 88.90707210 0.30632165 0.01736049 0.01735903 0.01736218 0.01736025 89.53539063 0.30438729 0.01723963 0.01723818 0.01724132 0.01723940 90.16370916 0.30247644 0.01712045 0.01711901 0.01712212 0.01712022 90.79202769 0.30058870 0.01700289 0.01700146 0.01700455 0.01700266 91.42034622 0.29872366 0.01688693 0.01688551 0.01688858 0.01688670 92.04866475 0.29688091 0.01677253 0.01677112 0.01677417 0.01677231 92.67698328 0.29506006 0.01665967 0.01665827 0.01666130 0.01665945 93.30530181 0.29326073 0.01654831 0.01654692 0.01654993 0.01654809 93.93362034 0.29148256 0.01643843 0.01643704 0.01644004 0.01643821 94.56193887 0.28972517 0.01632999 0.01632861 0.01633159 0.01632977 95.19025740 0.28798821 0.01622297 0.01622160 0.01622455 0.01622275 95.81857593 0.28627133 0.01611733 0.01611597 0.01611891 0.01611712 96.44689447 0.28457419 0.01601306 0.01601171 0.01601463 0.01601284 97.07521300 0.28289647 0.01591012 0.01590878 0.01591168 0.01590991 97.70353153 0.28123783 0.01580850 0.01580717 0.01581004 0.01580829 98.33185006 0.27959795 0.01570816 0.01570684 0.01570970 0.01570795 98.96016859 0.27797653 0.01560908 0.01560777 0.01561061 0.01560887 99.58848712 0.27637327 0.01551124 0.01550993 0.01551276 0.01551103 100.21680565 0.27478785 0.01541462 0.01541332 0.01541612 0.01541441 100.84512418 0.27322000 0.01531918 0.01531789 0.01532068 0.01531898 101.47344271 0.27166943 0.01522492 0.01522364 0.01522641 0.01522472 102.10176124 0.27013586 0.01513181 0.01513053 0.01513329 0.01513161 102.73007977 0.26861901 0.01503983 0.01503856 0.01504130 0.01503962 103.35839830 0.26711863 0.01494895 0.01494769 0.01495041 0.01494875 103.98671683 0.26563444 0.01485916 0.01485791 0.01486062 0.01485896 104.61503536 0.26416619 0.01477045 0.01476920 0.01477189 0.01477025 105.24335390 0.26271364 0.01468278 0.01468154 0.01468421 0.01468258 105.87167243 0.26127653 0.01459614 0.01459491 0.01459757 0.01459594 106.49999096 0.25985462 0.01451052 0.01450929 0.01451194 0.01451032 107.12830949 0.25844769 0.01442589 0.01442467 0.01442730 0.01442570 107.75662802 0.25705550 0.01434224 0.01434103 0.01434365 0.01434205 108.38494655 0.25567781 0.01425955 0.01425835 0.01426095 0.01425936 109.01326508 0.25431442 0.01417781 0.01417662 0.01417920 0.01417762 109.64158361 0.25296511 0.01409700 0.01409581 0.01409838 0.01409681 110.26990214 0.25162965 0.01401710 0.01401592 0.01401848 0.01401691 110.89822067 0.25030785 0.01393810 0.01393692 0.01393947 0.01393791 111.52653920 0.24899950 0.01385998 0.01385881 0.01386134 0.01385980 112.15485773 0.24770440 0.01378274 0.01378157 0.01378409 0.01378255 112.78317626 0.24642234 0.01370634 0.01370518 0.01370768 0.01370616 113.41149479 0.24515315 0.01363079 0.01362964 0.01363212 0.01363060 114.03981333 0.24389663 0.01355606 0.01355491 0.01355739 0.01355588 114.66813186 0.24265259 0.01348214 0.01348100 0.01348347 0.01348196 115.29645039 0.24142086 0.01340903 0.01340789 0.01341034 0.01340885 115.92476892 0.24020125 0.01333670 0.01333557 0.01333801 0.01333652 116.55308745 0.23899359 0.01326515 0.01326402 0.01326645 0.01326497 117.18140598 0.23779771 0.01319435 0.01319324 0.01319565 0.01319418 117.80972451 0.23661344 0.01312431 0.01312320 0.01312560 0.01312413 118.43804304 0.23544062 0.01305501 0.01305390 0.01305629 0.01305483 119.06636157 0.23427908 0.01298643 0.01298533 0.01298770 0.01298625 119.69468010 0.23312866 0.01291857 0.01291747 0.01291983 0.01291839 120.32299863 0.23198922 0.01285141 0.01285032 0.01285267 0.01285124 120.95131716 0.23086058 0.01278494 0.01278386 0.01278620 0.01278477 121.57963569 0.22974262 0.01271916 0.01271808 0.01272041 0.01271899 122.20795422 0.22863516 0.01265405 0.01265298 0.01265529 0.01265388 122.83627276 0.22753808 0.01258960 0.01258854 0.01259084 0.01258943 123.46459129 0.22645123 0.01252580 0.01252474 0.01252703 0.01252564 124.09290982 0.22537447 0.01246265 0.01246159 0.01246387 0.01246248 124.72122835 0.22430766 0.01240013 0.01239908 0.01240134 0.01239996 125.97786541 0.22220337 0.01227694 0.01227590 0.01227815 0.01227678 126.60618394 0.22116561 0.01221626 0.01221523 0.01221746 0.01221610 127.23450247 0.22013729 0.01215617 0.01215515 0.01215737 0.01215601 127.86282100 0.21911826 0.01209668 0.01209565 0.01209786 0.01209651 128.49113953 0.21810842 0.01203776 0.01203674 0.01203894 0.01203759 129.11945806 0.21710762 0.01197941 0.01197839 0.01198058 0.01197924 129.74777659 0.21611577 0.01192162 0.01192061 0.01192279 0.01192146 130.37609512 0.21513274 0.01186438 0.01186338 0.01186555 0.01186422 131.00441365 0.21415841 0.01180769 0.01180670 0.01180885 0.01180754 132.26105072 0.21223542 0.01169592 0.01169493 0.01169707 0.01169577 132.88936925 0.21128653 0.01164083 0.01163984 0.01164197 0.01164067 133.51768778 0.21034591 0.01158625 0.01158527 0.01158738 0.01158609 134.14600631 0.20941345 0.01153217 0.01153120 0.01153331 0.01153202 134.77432484 0.20848904 0.01147860 0.01147763 0.01147973 0.01147845 135.40264337 0.20757259 0.01142553 0.01142456 0.01142665 0.01142537 136.03096190 0.20666398 0.01137294 0.01137198 0.01137406 0.01137279 137.28759896 0.20486994 0.01126920 0.01126824 0.01127030 0.01126905 137.91591749 0.20398431 0.01121803 0.01121708 0.01121913 0.01121788 138.54423602 0.20310614 0.01116733 0.01116638 0.01116843 0.01116718 139.17255455 0.20223535 0.01111708 0.01111614 0.01111817 0.01111693 139.80087308 0.20137183 0.01106728 0.01106635 0.01106837 0.01106713 141.05751015 0.19966631 0.01096901 0.01096808 0.01097009 0.01096886 141.68582868 0.19882411 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