# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.31415927 3.22602745 0.67425256 0.67424961 0.67230906 0.67612377 0.94247780 2.74145440 0.51041616 0.51048076 0.50989088 0.51084937 1.57079633 2.49354310 0.42210828 0.42215922 0.42193456 0.42222881 2.19911486 2.31404102 0.36221045 0.36223996 0.36213379 0.36226209 2.82743339 2.16772876 0.31756118 0.31757337 0.31751828 0.31759023 3.45575192 2.04340828 0.28260958 0.28261386 0.28258519 0.28262771 4.08407045 1.93638106 0.25455952 0.25456013 0.25454657 0.25457108 4.71238898 1.84285706 0.23149244 0.23149070 0.23148630 0.23149972 5.34070751 1.76035591 0.21220111 0.21219813 0.21219950 0.21220553 5.96902604 1.68719420 0.19590830 0.19590444 0.19590957 0.19591079 6.59734457 1.62149151 0.18190626 0.18190154 0.18190919 0.18190747 7.22566310 1.56224011 0.16979357 0.16978865 0.16979801 0.16979389 7.85398163 1.50837444 0.15920148 0.15919620 0.15920672 0.15920122 8.48230016 1.45885779 0.14980341 0.14979790 0.14980926 0.14980275 9.11061870 1.41338686 0.14147464 0.14146914 0.14148106 0.14147373 9.73893723 1.37141580 0.13404558 0.13403997 0.13405224 0.13404451 10.36725576 1.33224336 0.12731797 0.12731231 0.12732481 0.12731681 10.99557429 1.29574786 0.12124524 0.12123950 0.12125213 0.12124401 11.62389282 1.26160259 0.11573278 0.11572698 0.11573966 0.11573152 12.25221135 1.22933570 0.11065430 0.11064856 0.11066124 0.11065303 12.88052988 1.19895530 0.10600508 0.10599937 0.10601199 0.10600381 13.50884841 1.17038221 0.10176085 0.10175519 0.10176773 0.10175959 14.13716694 1.14313694 0.09779971 0.09779414 0.09780657 0.09779846 14.76548547 1.11741248 0.09416611 0.09416056 0.09417286 0.09416491 15.39380400 1.09297990 0.09080151 0.09079601 0.09080816 0.09080032 16.02212253 1.06942839 0.08760495 0.08759953 0.08761151 0.08760380 16.65044106 1.04693842 0.08461952 0.08461417 0.08462599 0.08461840 17.27875959 1.02563140 0.08187390 0.08186865 0.08188029 0.08187281 17.90707813 1.00559644 0.07938930 0.07938409 0.07939557 0.07938823 18.53539666 0.98648417 0.07708074 0.07707561 0.07708691 0.07707970 19.16371519 0.96808877 0.07489857 0.07489352 0.07490464 0.07489755 19.79203372 0.95035396 0.07282957 0.07282459 0.07283553 0.07282858 20.42035225 0.93324391 0.07086559 0.07086069 0.07087145 0.07086462 21.04867078 0.91672536 0.06899920 0.06899438 0.06900496 0.06899825 21.67698931 0.90076753 0.06722362 0.06721887 0.06722928 0.06722270 22.30530784 0.88534188 0.06553268 0.06552801 0.06553825 0.06553179 22.93362637 0.87042195 0.06392076 0.06391616 0.06392623 0.06391988 23.56194490 0.85598309 0.06238269 0.06237817 0.06238806 0.06238183 24.19026343 0.84200234 0.06091375 0.06090930 0.06091903 0.06091291 24.81858196 0.82845825 0.05950960 0.05950523 0.05951480 0.05950879 25.44690049 0.81533070 0.05816625 0.05816194 0.05817135 0.05816545 26.07521902 0.80260067 0.05687995 0.05687571 0.05688496 0.05687917 26.70353756 0.79025027 0.05564725 0.05564309 0.05565218 0.05564649 27.33185609 0.77826274 0.05446498 0.05446088 0.05446983 0.05446424 27.96017462 0.76662232 0.05333020 0.05332616 0.05333497 0.05332947 28.58849315 0.75531421 0.05224018 0.05223621 0.05224487 0.05223946 29.21681168 0.74432444 0.05119241 0.05118850 0.05119702 0.05119171 29.84513021 0.73363987 0.05018455 0.05018070 0.05018909 0.05018387 30.47344874 0.72324808 0.04921445 0.04921066 0.04921891 0.04921377 31.10176727 0.71313733 0.04828007 0.04827634 0.04828446 0.04827941 31.73008580 0.70329653 0.04737955 0.04737588 0.04738388 0.04737891 32.35840433 0.69371516 0.04651115 0.04650753 0.04651540 0.04651051 32.98672286 0.68438323 0.04567321 0.04566964 0.04567740 0.04567259 33.61504139 0.67529120 0.04486420 0.04486069 0.04486833 0.04486359 34.24335992 0.66643002 0.04408269 0.04407922 0.04408675 0.04408208 34.87167845 0.65779109 0.04332730 0.04332389 0.04333131 0.04332671 35.49999699 0.64936622 0.04259679 0.04259343 0.04260074 0.04259621 36.12831552 0.64114764 0.04188997 0.04188665 0.04189386 0.04188940 36.75663405 0.63312794 0.04120572 0.04120245 0.04120955 0.04120516 37.38495258 0.62530007 0.04054300 0.04053978 0.04054678 0.04054245 38.01327111 0.61765731 0.03990084 0.03989766 0.03990456 0.03990030 38.64158964 0.61019325 0.03927830 0.03927517 0.03928198 0.03927777 39.26990817 0.60290176 0.03867453 0.03867143 0.03867815 0.03867400 39.89822670 0.59577701 0.03808869 0.03808564 0.03809226 0.03808817 40.52654523 0.58881342 0.03752003 0.03751701 0.03752355 0.03751952 41.15486376 0.58200565 0.03696781 0.03696483 0.03697128 0.03696730 41.78318229 0.57534859 0.03643134 0.03642840 0.03643477 0.03643084 42.41150082 0.56883736 0.03590997 0.03590707 0.03591336 0.03590948 43.03981935 0.56246726 0.03540309 0.03540023 0.03540643 0.03540261 43.66813788 0.55623378 0.03491010 0.03490727 0.03491340 0.03490962 44.29645642 0.55013262 0.03443044 0.03442765 0.03443370 0.03442998 44.92477495 0.54415964 0.03396360 0.03396084 0.03396682 0.03396314 45.55309348 0.53831087 0.03350907 0.03350634 0.03351225 0.03350861 46.18141201 0.53258253 0.03306637 0.03306368 0.03306951 0.03306592 46.80973054 0.52697094 0.03263506 0.03263240 0.03263816 0.03263461 47.43804907 0.52147262 0.03221470 0.03221207 0.03221776 0.03221426 48.06636760 0.51608420 0.03180489 0.03180229 0.03180792 0.03180446 48.69468613 0.51080244 0.03140524 0.03140267 0.03140823 0.03140482 49.32300466 0.50562424 0.03101539 0.03101285 0.03101835 0.03101497 49.95132319 0.50054660 0.03063497 0.03063247 0.03063790 0.03063456 50.57964172 0.49556666 0.03026367 0.03026119 0.03026656 0.03026326 51.20796025 0.49068165 0.02990115 0.02989870 0.02990401 0.02990075 51.83627878 0.48588889 0.02954712 0.02954470 0.02954995 0.02954672 52.46459731 0.48118584 0.02920128 0.02919888 0.02920408 0.02920089 53.09291585 0.47657001 0.02886336 0.02886099 0.02886613 0.02886297 53.72123438 0.47203904 0.02853309 0.02853074 0.02853583 0.02853270 54.34955291 0.46759061 0.02821022 0.02820789 0.02821292 0.02820983 54.97787144 0.46322252 0.02789450 0.02789220 0.02789717 0.02789412 55.60618997 0.45893264 0.02758570 0.02758342 0.02758835 0.02758532 56.23450850 0.45471888 0.02728360 0.02728135 0.02728622 0.02728323 56.86282703 0.45057927 0.02698798 0.02698575 0.02699058 0.02698762 57.49114556 0.44651187 0.02669865 0.02669644 0.02670122 0.02669829 58.11946409 0.44251484 0.02641539 0.02641321 0.02641794 0.02641504 58.74778262 0.43858636 0.02613803 0.02613587 0.02614055 0.02613768 59.37610115 0.43472472 0.02586639 0.02586424 0.02586888 0.02586604 60.00441968 0.43092823 0.02560028 0.02559816 0.02560275 0.02559993 60.63273821 0.42719528 0.02533955 0.02533745 0.02534199 0.02533920 61.26105675 0.42352430 0.02508403 0.02508195 0.02508645 0.02508369 61.88937528 0.41991376 0.02483357 0.02483151 0.02483597 0.02483323 62.51769381 0.41636222 0.02458802 0.02458598 0.02459040 0.02458769 63.14601234 0.41286824 0.02434724 0.02434522 0.02434960 0.02434691 63.77433087 0.40943046 0.02411110 0.02410910 0.02411343 0.02411077 64.40264940 0.40604753 0.02387946 0.02387747 0.02388177 0.02387914 65.03096793 0.40271819 0.02365219 0.02365023 0.02365448 0.02365187 65.65928646 0.39944117 0.02342918 0.02342723 0.02343145 0.02342886 66.28760499 0.39621526 0.02321030 0.02320837 0.02321255 0.02320999 66.91592352 0.39303930 0.02299545 0.02299354 0.02299768 0.02299514 67.54424205 0.38991215 0.02278451 0.02278261 0.02278672 0.02278420 68.17256058 0.38683270 0.02257738 0.02257550 0.02257957 0.02257708 68.80087911 0.38379989 0.02237396 0.02237209 0.02237613 0.02237366 69.42919764 0.38081267 0.02217415 0.02217230 0.02217630 0.02217385 70.05751618 0.37787004 0.02197785 0.02197602 0.02197998 0.02197755 70.68583471 0.37497103 0.02178498 0.02178316 0.02178709 0.02178468 71.31415324 0.37211467 0.02159544 0.02159364 0.02159754 0.02159515 71.94247177 0.36930006 0.02140915 0.02140736 0.02141123 0.02140886 72.57079030 0.36652629 0.02122603 0.02122426 0.02122810 0.02122575 73.19910883 0.36379249 0.02104600 0.02104424 0.02104805 0.02104572 73.82742736 0.36109782 0.02086898 0.02086724 0.02087101 0.02086870 74.45574589 0.35844144 0.02069490 0.02069317 0.02069691 0.02069462 75.08406442 0.35582258 0.02052368 0.02052197 0.02052568 0.02052341 75.71238295 0.35324043 0.02035526 0.02035356 0.02035724 0.02035498 76.34070148 0.35069426 0.02018956 0.02018787 0.02019152 0.02018929 76.96902001 0.34818332 0.02002653 0.02002485 0.02002847 0.02002626 77.59733854 0.34570689 0.01986609 0.01986443 0.01986802 0.01986582 78.22565707 0.34326429 0.01970819 0.01970654 0.01971011 0.01970792 78.85397561 0.34085483 0.01955277 0.01955113 0.01955467 0.01955250 79.48229414 0.33847786 0.01939976 0.01939814 0.01940165 0.01939950 80.11061267 0.33613272 0.01924913 0.01924751 0.01925100 0.01924887 80.73893120 0.33381880 0.01910080 0.01909920 0.01910266 0.01910054 81.36724973 0.33153549 0.01895473 0.01895314 0.01895657 0.01895447 81.99556826 0.32928219 0.01881086 0.01880928 0.01881269 0.01881061 82.62388679 0.32705832 0.01866915 0.01866759 0.01867097 0.01866890 83.25220532 0.32486332 0.01852956 0.01852800 0.01853136 0.01852931 83.88052385 0.32269665 0.01839202 0.01839048 0.01839381 0.01839177 84.50884238 0.32055776 0.01825650 0.01825497 0.01825828 0.01825626 85.13716091 0.31844613 0.01812296 0.01812144 0.01812473 0.01812271 85.76547944 0.31636126 0.01799135 0.01798983 0.01799310 0.01799110 86.39379797 0.31430264 0.01786162 0.01786012 0.01786336 0.01786138 87.02211650 0.31226980 0.01773375 0.01773226 0.01773548 0.01773351 87.65043504 0.31026226 0.01760769 0.01760621 0.01760940 0.01760745 88.27875357 0.30827956 0.01748339 0.01748192 0.01748510 0.01748316 88.90707210 0.30632124 0.01736084 0.01735938 0.01736253 0.01736060 89.53539063 0.30438688 0.01723998 0.01723853 0.01724167 0.01723975 90.16370916 0.30247604 0.01712079 0.01711935 0.01712246 0.01712056 90.79202769 0.30058830 0.01700323 0.01700180 0.01700489 0.01700300 91.42034622 0.29872326 0.01688727 0.01688585 0.01688892 0.01688704 92.04866475 0.29688051 0.01677287 0.01677146 0.01677451 0.01677264 92.67698328 0.29505966 0.01666001 0.01665861 0.01666163 0.01665978 93.30530181 0.29326034 0.01654865 0.01654725 0.01655026 0.01654842 93.93362034 0.29148216 0.01643876 0.01643738 0.01644037 0.01643854 94.56193887 0.28972477 0.01633032 0.01632894 0.01633191 0.01633010 95.19025740 0.28798782 0.01622329 0.01622193 0.01622488 0.01622307 95.81857593 0.28627094 0.01611766 0.01611630 0.01611923 0.01611744 96.44689447 0.28457381 0.01601338 0.01601203 0.01601495 0.01601317 97.07521300 0.28289608 0.01591045 0.01590910 0.01591200 0.01591023 97.70353153 0.28123744 0.01580882 0.01580749 0.01581036 0.01580860 98.33185006 0.27959757 0.01570848 0.01570715 0.01571001 0.01570826 98.96016859 0.27797615 0.01560940 0.01560808 0.01561092 0.01560919 99.58848712 0.27637289 0.01551155 0.01551025 0.01551307 0.01551135 100.21680565 0.27478748 0.01541493 0.01541363 0.01541643 0.01541472 100.84512418 0.27321963 0.01531949 0.01531820 0.01532099 0.01531929 101.47344271 0.27166906 0.01522523 0.01522395 0.01522672 0.01522502 102.10176124 0.27013549 0.01513212 0.01513084 0.01513360 0.01513191 102.73007977 0.26861865 0.01504013 0.01503886 0.01504160 0.01503993 103.35839830 0.26711826 0.01494925 0.01494799 0.01495072 0.01494905 103.98671683 0.26563408 0.01485946 0.01485821 0.01486092 0.01485926 104.61503536 0.26416584 0.01477074 0.01476950 0.01477219 0.01477054 105.24335390 0.26271328 0.01468307 0.01468183 0.01468451 0.01468288 105.87167243 0.26127618 0.01459643 0.01459520 0.01459786 0.01459624 106.49999096 0.25985428 0.01451081 0.01450958 0.01451223 0.01451061 107.12830949 0.25844734 0.01442618 0.01442496 0.01442759 0.01442599 107.75662802 0.25705515 0.01434253 0.01434132 0.01434393 0.01434234 108.38494655 0.25567747 0.01425984 0.01425864 0.01426124 0.01425965 109.01326508 0.25431408 0.01417810 0.01417690 0.01417949 0.01417791 109.64158361 0.25296477 0.01409728 0.01409609 0.01409867 0.01409709 110.26990214 0.25162932 0.01401738 0.01401620 0.01401876 0.01401720 110.89822067 0.25030752 0.01393838 0.01393721 0.01393975 0.01393819 111.52653920 0.24899917 0.01386026 0.01385909 0.01386162 0.01386008 112.15485773 0.24770407 0.01378301 0.01378185 0.01378436 0.01378283 112.78317626 0.24642202 0.01370662 0.01370546 0.01370796 0.01370643 113.41149479 0.24515283 0.01363106 0.01362991 0.01363240 0.01363088 114.03981333 0.24389631 0.01355633 0.01355519 0.01355766 0.01355615 114.66813186 0.24265228 0.01348242 0.01348128 0.01348374 0.01348223 115.29645039 0.24142054 0.01340930 0.01340816 0.01341061 0.01340912 115.92476892 0.24020094 0.01333697 0.01333584 0.01333828 0.01333679 116.55308745 0.23899328 0.01326541 0.01326429 0.01326671 0.01326523 117.18140598 0.23779741 0.01319462 0.01319350 0.01319591 0.01319444 117.80972451 0.23661314 0.01312458 0.01312347 0.01312586 0.01312440 118.43804304 0.23544032 0.01305527 0.01305417 0.01305655 0.01305509 119.06636157 0.23427878 0.01298669 0.01298559 0.01298796 0.01298652 119.69468010 0.23312837 0.01291883 0.01291773 0.01292009 0.01291865 120.32299863 0.23198892 0.01285167 0.01285058 0.01285293 0.01285149 120.95131716 0.23086029 0.01278520 0.01278412 0.01278645 0.01278503 121.57963569 0.22974233 0.01271942 0.01271834 0.01272066 0.01271924 122.20795422 0.22863488 0.01265430 0.01265323 0.01265555 0.01265413 122.83627276 0.22753780 0.01258985 0.01258879 0.01259109 0.01258968 123.46459129 0.22645096 0.01252606 0.01252500 0.01252728 0.01252589 124.09290982 0.22537420 0.01246290 0.01246185 0.01246412 0.01246273 124.72122835 0.22430739 0.01240038 0.01239933 0.01240159 0.01240021 125.97786541 0.22220310 0.01227719 0.01227615 0.01227839 0.01227702 126.60618394 0.22116535 0.01221651 0.01221547 0.01221770 0.01221634 127.23450247 0.22013702 0.01215642 0.01215539 0.01215761 0.01215625 127.86282100 0.21911800 0.01209692 0.01209589 0.01209811 0.01209676 128.49113953 0.21810816 0.01203800 0.01203698 0.01203918 0.01203784 129.11945806 0.21710737 0.01197965 0.01197863 0.01198082 0.01197948 129.74777659 0.21611552 0.01192186 0.01192085 0.01192303 0.01192170 130.37609512 0.21513249 0.01186462 0.01186362 0.01186579 0.01186446 131.00441365 0.21415816 0.01180793 0.01180693 0.01180909 0.01180777 132.26105072 0.21223517 0.01169616 0.01169517 0.01169731 0.01169600 132.88936925 0.21128629 0.01164106 0.01164008 0.01164220 0.01164091 133.51768778 0.21034567 0.01158648 0.01158550 0.01158762 0.01158632 134.14600631 0.20941321 0.01153241 0.01153143 0.01153354 0.01153225 134.77432484 0.20848881 0.01147883 0.01147786 0.01147996 0.01147868 135.40264337 0.20757235 0.01142576 0.01142479 0.01142688 0.01142560 136.03096190 0.20666375 0.01137317 0.01137220 0.01137428 0.01137301 137.28759896 0.20486971 0.01126942 0.01126847 0.01127053 0.01126927 137.91591749 0.20398408 0.01121826 0.01121731 0.01121936 0.01121811 138.54423602 0.20310591 0.01116755 0.01116661 0.01116865 0.01116740 139.17255455 0.20223512 0.01111730 0.01111636 0.01111840 0.01111715 139.80087308 0.20137161 0.01106750 0.01106657 0.01106859 0.01106736 141.05751015 0.19966609 0.01096923 0.01096830 0.01097031 0.01096908 141.68582868 0.19882390 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