# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.31415927 3.22682682 0.67444711 0.67447506 0.67253712 0.67632073 0.94247780 2.74181421 0.51050512 0.51058445 0.50999458 0.51093825 1.57079633 2.49360835 0.42214121 0.42218661 0.42196219 0.42226165 2.19911486 2.31436061 0.36229943 0.36232517 0.36221890 0.36235109 2.82743339 2.16781516 0.31758870 0.31759989 0.31754477 0.31761780 3.45575192 2.04381689 0.28271793 0.28272309 0.28269437 0.28273603 4.08407045 1.93663162 0.25462749 0.25462839 0.25461483 0.25463900 4.71238898 1.84320832 0.23158395 0.23158218 0.23157775 0.23159121 5.34070751 1.76075617 0.21230626 0.21230279 0.21230415 0.21231069 5.96902604 1.68765508 0.19602484 0.19602086 0.19602598 0.19602733 6.59734457 1.62191021 0.18201088 0.18200651 0.18201414 0.18201207 7.22566310 1.56241647 0.16983641 0.16983141 0.16984077 0.16983673 7.85398163 1.50839884 0.15920523 0.15920003 0.15921055 0.15920497 8.48230016 1.45892013 0.14981697 0.14981157 0.14982292 0.14981632 9.11061870 1.41355505 0.14151424 0.14150866 0.14152055 0.14151333 9.73893723 1.37163204 0.13409832 0.13409267 0.13410493 0.13409725 10.36725576 1.33237928 0.12735048 0.12734482 0.12735731 0.12734932 10.99557429 1.29578384 0.12125262 0.12124697 0.12125960 0.12125139 11.62389282 1.26158395 0.11572693 0.11572128 0.11573396 0.11572567 12.25221135 1.22944312 0.11067942 0.11067379 0.11068646 0.11067816 12.88052988 1.19897260 0.10600815 0.10600252 0.10601514 0.10600690 13.50884841 1.17033574 0.10174849 0.10174288 0.10175541 0.10174725 14.13716694 1.14317737 0.09780868 0.09780312 0.09781554 0.09780747 14.76548547 1.11733452 0.09414596 0.09414045 0.09415273 0.09414476 15.39380400 1.09292517 0.09078728 0.09078183 0.09079395 0.09078613 16.02212253 1.06958624 0.08764253 0.08763717 0.08764913 0.08764142 16.65044106 1.04686434 0.08460079 0.08459549 0.08460730 0.08459969 17.27875959 1.02550796 0.08184332 0.08183806 0.08184970 0.08184224 17.90707813 1.00558927 0.07938703 0.07938184 0.07939330 0.07938597 18.53539666 0.98649411 0.07708268 0.07707757 0.07708886 0.07708165 19.16371519 0.96809790 0.07490037 0.07489533 0.07490645 0.07489937 19.79203372 0.95036236 0.07283125 0.07282629 0.07283722 0.07283027 20.42035225 0.93325165 0.07086717 0.07086228 0.07087304 0.07086621 21.04867078 0.91673249 0.06900068 0.06899587 0.06900645 0.06899975 21.67698931 0.90077411 0.06722502 0.06722029 0.06723069 0.06722411 22.30530784 0.88534797 0.06553401 0.06552935 0.06553958 0.06553312 22.93362637 0.87042758 0.06392202 0.06391743 0.06392749 0.06392115 23.56194490 0.85598830 0.06238389 0.06237938 0.06238927 0.06238304 24.19026343 0.84200716 0.06091490 0.06091046 0.06092018 0.06091407 24.81858196 0.82846272 0.05951071 0.05950634 0.05951590 0.05950989 25.44690049 0.81533483 0.05816731 0.05816301 0.05817241 0.05816651 26.07521902 0.80260449 0.05688097 0.05687674 0.05688598 0.05688019 26.70353756 0.79025381 0.05564824 0.05564407 0.05565317 0.05564748 27.33185609 0.77826601 0.05446593 0.05446184 0.05447078 0.05446519 27.96017462 0.76662534 0.05333112 0.05332708 0.05333588 0.05333039 28.58849315 0.75531699 0.05224107 0.05223710 0.05224576 0.05224035 29.21681168 0.74432701 0.05119327 0.05118936 0.05119788 0.05119257 29.84513021 0.73364223 0.05018539 0.05018154 0.05018993 0.05018470 30.47344874 0.72325025 0.04921526 0.04921147 0.04921972 0.04921459 31.10176727 0.71313933 0.04828086 0.04827713 0.04828526 0.04828020 31.73008580 0.70329836 0.04738033 0.04737665 0.04738465 0.04737968 32.35840433 0.69371683 0.04651190 0.04650828 0.04651616 0.04651126 32.98672286 0.68438475 0.04567394 0.04567038 0.04567814 0.04567332 33.61504139 0.67529258 0.04486492 0.04486141 0.04486905 0.04486431 34.24335992 0.66643128 0.04408339 0.04407993 0.04408745 0.04408279 34.87167845 0.65779222 0.04332799 0.04332458 0.04333199 0.04332740 35.49999699 0.64936724 0.04259746 0.04259410 0.04260141 0.04259688 36.12831552 0.64114855 0.04189063 0.04188731 0.04189452 0.04189006 36.75663405 0.63312875 0.04120636 0.04120310 0.04121020 0.04120580 37.38495258 0.62530078 0.04054364 0.04054041 0.04054741 0.04054308 38.01327111 0.61765793 0.03990146 0.03989828 0.03990518 0.03990092 38.64158964 0.61019378 0.03927891 0.03927577 0.03928258 0.03927838 39.26990817 0.60290221 0.03867512 0.03867203 0.03867875 0.03867460 39.89822670 0.59577739 0.03808928 0.03808623 0.03809285 0.03808876 40.52654523 0.58881373 0.03752060 0.03751759 0.03752413 0.03752009 41.15486376 0.58200589 0.03696837 0.03696540 0.03697185 0.03696787 41.78318229 0.57534878 0.03643190 0.03642896 0.03643533 0.03643140 42.41150082 0.56883748 0.03591052 0.03590762 0.03591391 0.03591003 43.03981935 0.56246733 0.03540363 0.03540077 0.03540697 0.03540315 43.66813788 0.55623380 0.03491063 0.03490780 0.03491393 0.03491015 44.29645642 0.55013259 0.03443097 0.03442818 0.03443423 0.03443050 44.92477495 0.54415956 0.03396412 0.03396136 0.03396733 0.03396365 45.55309348 0.53831076 0.03350958 0.03350685 0.03351275 0.03350912 46.18141201 0.53258237 0.03306687 0.03306418 0.03307001 0.03306642 46.80973054 0.52697075 0.03263555 0.03263289 0.03263865 0.03263511 47.43804907 0.52147240 0.03221518 0.03221256 0.03221825 0.03221475 48.06636760 0.51608394 0.03180537 0.03180277 0.03180840 0.03180494 48.69468613 0.51080216 0.03140571 0.03140315 0.03140871 0.03140529 49.32300466 0.50562393 0.03101585 0.03101332 0.03101881 0.03101543 49.95132319 0.50054626 0.03063544 0.03063293 0.03063836 0.03063502 50.57964172 0.49556630 0.03026412 0.03026164 0.03026702 0.03026371 51.20796025 0.49068126 0.02990160 0.02989915 0.02990446 0.02990120 51.83627878 0.48588849 0.02954756 0.02954514 0.02955039 0.02954716 52.46459731 0.48118542 0.02920172 0.02919932 0.02920452 0.02920132 53.09291585 0.47656957 0.02886379 0.02886142 0.02886656 0.02886340 53.72123438 0.47203858 0.02853352 0.02853117 0.02853625 0.02853313 54.34955291 0.46759014 0.02821064 0.02820831 0.02821334 0.02821026 54.97787144 0.46322204 0.02789491 0.02789261 0.02789759 0.02789454 55.60618997 0.45893214 0.02758611 0.02758384 0.02758876 0.02758574 56.23450850 0.45471837 0.02728401 0.02728175 0.02728663 0.02728364 56.86282703 0.45057875 0.02698839 0.02698616 0.02699098 0.02698802 57.49114556 0.44651134 0.02669904 0.02669684 0.02670161 0.02669868 58.11946409 0.44251430 0.02641579 0.02641360 0.02641833 0.02641543 58.74778262 0.43858582 0.02613842 0.02613626 0.02614094 0.02613807 59.37610115 0.43472417 0.02586677 0.02586463 0.02586926 0.02586642 60.00441968 0.43092768 0.02560066 0.02559854 0.02560313 0.02560032 60.63273821 0.42719472 0.02533992 0.02533782 0.02534237 0.02533958 61.26105675 0.42352373 0.02508440 0.02508232 0.02508682 0.02508406 61.88937528 0.41991319 0.02483394 0.02483188 0.02483634 0.02483360 62.51769381 0.41636164 0.02458839 0.02458635 0.02459076 0.02458805 63.14601234 0.41286766 0.02434761 0.02434558 0.02434996 0.02434728 63.77433087 0.40942988 0.02411146 0.02410945 0.02411379 0.02411113 64.40264940 0.40604695 0.02387981 0.02387783 0.02388212 0.02387949 65.03096793 0.40271760 0.02365254 0.02365058 0.02365483 0.02365222 65.65928646 0.39944058 0.02342953 0.02342758 0.02343179 0.02342921 66.28760499 0.39621468 0.02321065 0.02320872 0.02321289 0.02321033 66.91592352 0.39303872 0.02299579 0.02299388 0.02299802 0.02299548 67.54424205 0.38991157 0.02278485 0.02278295 0.02278706 0.02278454 68.17256058 0.38683212 0.02257772 0.02257584 0.02257990 0.02257741 68.80087911 0.38379930 0.02237429 0.02237243 0.02237646 0.02237399 69.42919764 0.38081209 0.02217448 0.02217263 0.02217663 0.02217418 70.05751618 0.37786946 0.02197818 0.02197634 0.02198031 0.02197788 70.68583471 0.37497045 0.02178530 0.02178348 0.02178741 0.02178501 71.31415324 0.37211410 0.02159576 0.02159396 0.02159786 0.02159547 71.94247177 0.36929949 0.02140947 0.02140768 0.02141155 0.02140918 72.57079030 0.36652572 0.02122635 0.02122458 0.02122841 0.02122606 73.19910883 0.36379192 0.02104632 0.02104456 0.02104836 0.02104603 73.82742736 0.36109725 0.02086929 0.02086755 0.02087132 0.02086901 74.45574589 0.35844088 0.02069521 0.02069348 0.02069722 0.02069493 75.08406442 0.35582202 0.02052399 0.02052227 0.02052598 0.02052371 75.71238295 0.35323988 0.02035556 0.02035386 0.02035754 0.02035529 76.34070148 0.35069371 0.02018986 0.02018817 0.02019182 0.02018959 76.96902001 0.34818277 0.02002682 0.02002515 0.02002877 0.02002655 77.59733854 0.34570635 0.01986638 0.01986472 0.01986832 0.01986612 78.22565707 0.34326375 0.01970848 0.01970683 0.01971040 0.01970821 78.85397561 0.34085430 0.01955306 0.01955142 0.01955496 0.01955279 79.48229414 0.33847732 0.01940005 0.01939843 0.01940194 0.01939979 80.11061267 0.33613219 0.01924941 0.01924780 0.01925128 0.01924915 80.73893120 0.33381828 0.01910108 0.01909948 0.01910294 0.01910082 81.36724973 0.33153497 0.01895501 0.01895342 0.01895685 0.01895475 81.99556826 0.32928167 0.01881114 0.01880956 0.01881297 0.01881089 82.62388679 0.32705781 0.01866943 0.01866786 0.01867125 0.01866918 83.25220532 0.32486282 0.01852983 0.01852827 0.01853164 0.01852958 83.88052385 0.32269614 0.01839229 0.01839075 0.01839408 0.01839204 84.50884238 0.32055726 0.01825677 0.01825524 0.01825855 0.01825653 85.13716091 0.31844564 0.01812323 0.01812170 0.01812499 0.01812298 85.76547944 0.31636077 0.01799161 0.01799010 0.01799337 0.01799137 86.39379797 0.31430216 0.01786189 0.01786039 0.01786363 0.01786165 87.02211650 0.31226932 0.01773401 0.01773252 0.01773574 0.01773377 87.65043504 0.31026178 0.01760795 0.01760647 0.01760966 0.01760771 88.27875357 0.30827908 0.01748365 0.01748218 0.01748536 0.01748342 88.90707210 0.30632078 0.01736110 0.01735964 0.01736279 0.01736086 89.53539063 0.30438642 0.01724024 0.01723879 0.01724192 0.01724001 90.16370916 0.30247558 0.01712104 0.01711961 0.01712272 0.01712081 90.79202769 0.30058785 0.01700348 0.01700205 0.01700514 0.01700325 91.42034622 0.29872281 0.01688752 0.01688610 0.01688917 0.01688729 92.04866475 0.29688006 0.01677312 0.01677171 0.01677476 0.01677289 92.67698328 0.29505922 0.01666025 0.01665885 0.01666188 0.01666003 93.30530181 0.29325990 0.01654889 0.01654750 0.01655051 0.01654867 93.93362034 0.29148173 0.01643900 0.01643762 0.01644061 0.01643878 94.56193887 0.28972435 0.01633056 0.01632919 0.01633216 0.01633034 95.19025740 0.28798739 0.01622353 0.01622217 0.01622512 0.01622331 95.81857593 0.28627052 0.01611790 0.01611654 0.01611947 0.01611768 96.44689447 0.28457339 0.01601362 0.01601227 0.01601518 0.01601340 97.07521300 0.28289567 0.01591068 0.01590934 0.01591224 0.01591047 97.70353153 0.28123704 0.01580905 0.01580772 0.01581060 0.01580884 98.33185006 0.27959717 0.01570871 0.01570738 0.01571024 0.01570850 98.96016859 0.27797576 0.01560963 0.01560831 0.01561115 0.01560942 99.58848712 0.27637250 0.01551178 0.01551048 0.01551330 0.01551157 100.21680565 0.27478709 0.01541515 0.01541386 0.01541666 0.01541495 100.84512418 0.27321925 0.01531972 0.01531843 0.01532122 0.01531951 101.47344271 0.27166868 0.01522545 0.01522417 0.01522694 0.01522525 102.10176124 0.27013511 0.01513234 0.01513106 0.01513382 0.01513213 102.73007977 0.26861828 0.01504035 0.01503908 0.01504182 0.01504015 103.35839830 0.26711790 0.01494947 0.01494821 0.01495094 0.01494927 103.98671683 0.26563371 0.01485968 0.01485843 0.01486114 0.01485948 104.61503536 0.26416547 0.01477096 0.01476971 0.01477241 0.01477076 105.24335390 0.26271293 0.01468329 0.01468205 0.01468473 0.01468309 105.87167243 0.26127582 0.01459665 0.01459542 0.01459808 0.01459645 106.49999096 0.25985393 0.01451102 0.01450980 0.01451244 0.01451083 107.12830949 0.25844700 0.01442639 0.01442518 0.01442781 0.01442620 107.75662802 0.25705481 0.01434274 0.01434153 0.01434415 0.01434255 108.38494655 0.25567713 0.01426005 0.01425885 0.01426145 0.01425986 109.01326508 0.25431375 0.01417831 0.01417711 0.01417970 0.01417812 109.64158361 0.25296444 0.01409749 0.01409630 0.01409887 0.01409730 110.26990214 0.25162899 0.01401759 0.01401641 0.01401896 0.01401740 110.89822067 0.25030720 0.01393859 0.01393741 0.01393995 0.01393840 111.52653920 0.24899885 0.01386047 0.01385930 0.01386183 0.01386028 112.15485773 0.24770375 0.01378322 0.01378205 0.01378457 0.01378303 112.78317626 0.24642171 0.01370682 0.01370566 0.01370816 0.01370663 113.41149479 0.24515252 0.01363126 0.01363011 0.01363260 0.01363108 114.03981333 0.24389600 0.01355653 0.01355539 0.01355786 0.01355635 114.66813186 0.24265197 0.01348261 0.01348147 0.01348393 0.01348243 115.29645039 0.24142024 0.01340950 0.01340836 0.01341081 0.01340932 115.92476892 0.24020064 0.01333717 0.01333604 0.01333847 0.01333699 116.55308745 0.23899299 0.01326561 0.01326449 0.01326691 0.01326543 117.18140598 0.23779712 0.01319481 0.01319370 0.01319611 0.01319464 117.80972451 0.23661285 0.01312477 0.01312366 0.01312606 0.01312459 118.43804304 0.23544004 0.01305546 0.01305436 0.01305674 0.01305529 119.06636157 0.23427850 0.01298688 0.01298578 0.01298816 0.01298671 119.69468010 0.23312809 0.01291902 0.01291793 0.01292028 0.01291884 120.32299863 0.23198865 0.01285186 0.01285077 0.01285312 0.01285168 120.95131716 0.23086002 0.01278539 0.01278431 0.01278664 0.01278522 121.57963569 0.22974206 0.01271960 0.01271853 0.01272085 0.01271943 122.20795422 0.22863461 0.01265449 0.01265342 0.01265573 0.01265432 122.83627276 0.22753754 0.01259004 0.01258898 0.01259127 0.01258987 123.46459129 0.22645070 0.01252624 0.01252518 0.01252747 0.01252607 124.09290982 0.22537394 0.01246308 0.01246203 0.01246431 0.01246292 124.72122835 0.22430714 0.01240056 0.01239951 0.01240177 0.01240039 125.97786541 0.22220285 0.01227737 0.01227633 0.01227857 0.01227720 126.60618394 0.22116510 0.01221669 0.01221565 0.01221788 0.01221652 127.23450247 0.22013678 0.01215660 0.01215557 0.01215779 0.01215643 127.86282100 0.21911776 0.01209710 0.01209607 0.01209828 0.01209693 128.49113953 0.21810792 0.01203817 0.01203716 0.01203936 0.01203801 129.11945806 0.21710713 0.01197982 0.01197881 0.01198100 0.01197966 129.74777659 0.21611528 0.01192203 0.01192102 0.01192320 0.01192187 130.37609512 0.21513225 0.01186480 0.01186379 0.01186596 0.01186464 131.00441365 0.21415793 0.01180811 0.01180711 0.01180926 0.01180795 132.26105072 0.21223495 0.01169633 0.01169534 0.01169748 0.01169617 132.88936925 0.21128607 0.01164123 0.01164025 0.01164238 0.01164108 133.51768778 0.21034545 0.01158665 0.01158567 0.01158779 0.01158649 134.14600631 0.20941299 0.01153258 0.01153160 0.01153371 0.01153242 134.77432484 0.20848859 0.01147900 0.01147803 0.01148013 0.01147885 135.40264337 0.20757214 0.01142593 0.01142496 0.01142705 0.01142577 136.03096190 0.20666354 0.01137333 0.01137237 0.01137445 0.01137318 137.28759896 0.20486951 0.01126959 0.01126864 0.01127070 0.01126944 137.91591749 0.20398388 0.01121842 0.01121747 0.01121952 0.01121827 138.54423602 0.20310571 0.01116772 0.01116677 0.01116881 0.01116757 139.17255455 0.20223492 0.01111747 0.01111653 0.01111856 0.01111732 139.80087308 0.20137142 0.01106767 0.01106673 0.01106875 0.01106752 141.05751015 0.19966590 0.01096939 0.01096846 0.01097047 0.01096924 141.68582868 0.19882371 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