# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.31415927 3.22606588 0.67424185 0.67427745 0.67233538 0.67611381 0.94247780 2.74121078 0.51034474 0.51042039 0.50983069 0.51077762 1.57079633 2.49339580 0.42207123 0.42212272 0.42189840 0.42219147 2.19911486 2.31395302 0.36218777 0.36221329 0.36210702 0.36223956 2.82743339 2.16767059 0.31755013 0.31756160 0.31750649 0.31757920 3.45575192 2.04343419 0.28262416 0.28262755 0.28259889 0.28264232 4.08407045 1.93630420 0.25454589 0.25454670 0.25453310 0.25455746 4.71238898 1.84290787 0.23151285 0.23151090 0.23150651 0.23152012 5.34070751 1.76055384 0.21225945 0.21225646 0.21225782 0.21226388 5.96902604 1.68741904 0.19597423 0.19597018 0.19597532 0.19597675 6.59734457 1.62163144 0.18194675 0.18194229 0.18194993 0.18194796 7.22566310 1.56241944 0.16984296 0.16983792 0.16984729 0.16984329 7.85398163 1.50836710 0.15920382 0.15919861 0.15920915 0.15920355 8.48230016 1.45886918 0.14980917 0.14980389 0.14981523 0.14980852 9.11061870 1.41349845 0.14150562 0.14150018 0.14151208 0.14150472 9.73893723 1.37144918 0.13405758 0.13405199 0.13406426 0.13405650 10.36725576 1.33216747 0.12730318 0.12729753 0.12731002 0.12730200 10.99557429 1.29572965 0.12124515 0.12123942 0.12125205 0.12124394 11.62389282 1.26158247 0.11573157 0.11572587 0.11573856 0.11573029 12.25221135 1.22940907 0.11067638 0.11067072 0.11068340 0.11067511 12.88052988 1.19907417 0.10603840 0.10603275 0.10604537 0.10603716 13.50884841 1.17044646 0.10178012 0.10177450 0.10178703 0.10177890 14.13716694 1.14332510 0.09784892 0.09784331 0.09785572 0.09784771 14.76548547 1.11742124 0.09417104 0.09416545 0.09417774 0.09416984 15.39380400 1.09270161 0.09073622 0.09073074 0.09074286 0.09073506 16.02212253 1.06928519 0.08757294 0.08756747 0.08757945 0.08757180 16.65044106 1.04679809 0.08458814 0.08458276 0.08459457 0.08458703 17.27875959 1.02560997 0.08187124 0.08186594 0.08187758 0.08187016 17.90707813 1.00559057 0.07939027 0.07938506 0.07939653 0.07938921 18.53539666 0.98647767 0.07708144 0.07707632 0.07708761 0.07708041 19.16371519 0.96808200 0.07489909 0.07489404 0.07490516 0.07489808 19.79203372 0.95034703 0.07282994 0.07282497 0.07283591 0.07282896 20.42035225 0.93323690 0.07086584 0.07086095 0.07087171 0.07086488 21.04867078 0.91671835 0.06899935 0.06899453 0.06900511 0.06899841 21.67698931 0.90076056 0.06722368 0.06721894 0.06722935 0.06722277 22.30530784 0.88533501 0.06553267 0.06552801 0.06553824 0.06553178 22.93362637 0.87041520 0.06392069 0.06391610 0.06392616 0.06391982 23.56194490 0.85597649 0.06238257 0.06237805 0.06238794 0.06238172 24.19026343 0.84199591 0.06091359 0.06090915 0.06091887 0.06091276 24.81858196 0.82845202 0.05950941 0.05950504 0.05951460 0.05950860 25.44690049 0.81532466 0.05816602 0.05816172 0.05817113 0.05816523 26.07521902 0.80259483 0.05687970 0.05687547 0.05688472 0.05687892 26.70353756 0.79024464 0.05564699 0.05564282 0.05565192 0.05564623 27.33185609 0.77825731 0.05446470 0.05446060 0.05446955 0.05446396 27.96017462 0.76661710 0.05332990 0.05332587 0.05333467 0.05332917 28.58849315 0.75530919 0.05223987 0.05223590 0.05224456 0.05223916 29.21681168 0.74431963 0.05119209 0.05118818 0.05119671 0.05119139 29.84513021 0.73363525 0.05018423 0.05018038 0.05018877 0.05018355 30.47344874 0.72324366 0.04921412 0.04921033 0.04921858 0.04921345 31.10176727 0.71313310 0.04827974 0.04827601 0.04828413 0.04827908 31.73008580 0.70329249 0.04737922 0.04737555 0.04738355 0.04737857 32.35840433 0.69371129 0.04651081 0.04650719 0.04651507 0.04651018 32.98672286 0.68437953 0.04567287 0.04566931 0.04567707 0.04567225 33.61504139 0.67528767 0.04486387 0.04486035 0.04486800 0.04486326 34.24335992 0.66642666 0.04408235 0.04407889 0.04408642 0.04408175 34.87167845 0.65778788 0.04332697 0.04332356 0.04333097 0.04332638 35.49999699 0.64936316 0.04259646 0.04259310 0.04260041 0.04259588 36.12831552 0.64114472 0.04188964 0.04188632 0.04189353 0.04188907 36.75663405 0.63312516 0.04120539 0.04120212 0.04120923 0.04120483 37.38495258 0.62529742 0.04054268 0.04053945 0.04054646 0.04054213 38.01327111 0.61765479 0.03990051 0.03989733 0.03990424 0.03989997 38.64158964 0.61019084 0.03927798 0.03927484 0.03928165 0.03927745 39.26990817 0.60289948 0.03867421 0.03867111 0.03867783 0.03867368 39.89822670 0.59577484 0.03808838 0.03808532 0.03809195 0.03808786 40.52654523 0.58881135 0.03751972 0.03751670 0.03752324 0.03751920 41.15486376 0.58200369 0.03696750 0.03696452 0.03697098 0.03696699 41.78318229 0.57534673 0.03643103 0.03642810 0.03643446 0.03643054 42.41150082 0.56883559 0.03590967 0.03590677 0.03591306 0.03590918 43.03981935 0.56246557 0.03540279 0.03539993 0.03540613 0.03540231 43.66813788 0.55623218 0.03490980 0.03490697 0.03491310 0.03490933 44.29645642 0.55013110 0.03443015 0.03442736 0.03443341 0.03442968 44.92477495 0.54415820 0.03396331 0.03396055 0.03396653 0.03396285 45.55309348 0.53830951 0.03350878 0.03350606 0.03351196 0.03350833 46.18141201 0.53258123 0.03306609 0.03306339 0.03306923 0.03306564 46.80973054 0.52696972 0.03263477 0.03263212 0.03263788 0.03263433 47.43804907 0.52147146 0.03221442 0.03221179 0.03221749 0.03221398 48.06636760 0.51608310 0.03180461 0.03180202 0.03180764 0.03180418 48.69468613 0.51080140 0.03140497 0.03140240 0.03140796 0.03140454 49.32300466 0.50562325 0.03101512 0.03101258 0.03101808 0.03101470 49.95132319 0.50054567 0.03063471 0.03063220 0.03063763 0.03063429 50.57964172 0.49556578 0.03026341 0.03026093 0.03026630 0.03026300 51.20796025 0.49068081 0.02990089 0.02989844 0.02990375 0.02990049 51.83627878 0.48588811 0.02954686 0.02954444 0.02954969 0.02954646 52.46459731 0.48118510 0.02920103 0.02919863 0.02920383 0.02920063 53.09291585 0.47656931 0.02886311 0.02886074 0.02886588 0.02886272 53.72123438 0.47203838 0.02853284 0.02853049 0.02853558 0.02853245 54.34955291 0.46758999 0.02820997 0.02820765 0.02821268 0.02820959 54.97787144 0.46322194 0.02789425 0.02789195 0.02789693 0.02789388 55.60618997 0.45893208 0.02758546 0.02758318 0.02758811 0.02758508 56.23450850 0.45471836 0.02728336 0.02728111 0.02728598 0.02728299 56.86282703 0.45057878 0.02698775 0.02698552 0.02699034 0.02698738 57.49114556 0.44651142 0.02669841 0.02669621 0.02670098 0.02669805 58.11946409 0.44251441 0.02641516 0.02641298 0.02641771 0.02641480 58.74778262 0.43858596 0.02613780 0.02613564 0.02614032 0.02613745 59.37610115 0.43472435 0.02586616 0.02586402 0.02586865 0.02586581 60.00441968 0.43092788 0.02560006 0.02559794 0.02560252 0.02559971 60.63273821 0.42719495 0.02533933 0.02533723 0.02534177 0.02533898 61.26105675 0.42352399 0.02508381 0.02508173 0.02508623 0.02508347 61.88937528 0.41991348 0.02483335 0.02483129 0.02483575 0.02483302 62.51769381 0.41636196 0.02458781 0.02458576 0.02459018 0.02458747 63.14601234 0.41286800 0.02434703 0.02434501 0.02434938 0.02434670 63.77433087 0.40943023 0.02411089 0.02410889 0.02411322 0.02411056 64.40264940 0.40604733 0.02387925 0.02387726 0.02388156 0.02387893 65.03096793 0.40271799 0.02365199 0.02365002 0.02365427 0.02365167 65.65928646 0.39944099 0.02342898 0.02342703 0.02343124 0.02342866 66.28760499 0.39621510 0.02321010 0.02320817 0.02321235 0.02320979 66.91592352 0.39303915 0.02299525 0.02299333 0.02299748 0.02299494 67.54424205 0.38991202 0.02278431 0.02278241 0.02278652 0.02278401 68.17256058 0.38683258 0.02257719 0.02257530 0.02257937 0.02257688 68.80087911 0.38379978 0.02237376 0.02237190 0.02237593 0.02237346 69.42919764 0.38081257 0.02217395 0.02217210 0.02217610 0.02217365 70.05751618 0.37786996 0.02197766 0.02197582 0.02197979 0.02197736 70.68583471 0.37497095 0.02178479 0.02178297 0.02178690 0.02178449 71.31415324 0.37211461 0.02159525 0.02159345 0.02159735 0.02159496 71.94247177 0.36930000 0.02140897 0.02140718 0.02141104 0.02140868 72.57079030 0.36652624 0.02122585 0.02122407 0.02122791 0.02122556 73.19910883 0.36379245 0.02104582 0.02104406 0.02104786 0.02104554 73.82742736 0.36109779 0.02086880 0.02086706 0.02087083 0.02086852 74.45574589 0.35844142 0.02069472 0.02069299 0.02069673 0.02069444 75.08406442 0.35582256 0.02052350 0.02052179 0.02052550 0.02052323 75.71238295 0.35324043 0.02035508 0.02035338 0.02035706 0.02035481 76.34070148 0.35069426 0.02018939 0.02018770 0.02019135 0.02018911 76.96902001 0.34818332 0.02002635 0.02002467 0.02002830 0.02002608 77.59733854 0.34570691 0.01986592 0.01986425 0.01986785 0.01986565 78.22565707 0.34326431 0.01970802 0.01970637 0.01970994 0.01970775 78.85397561 0.34085486 0.01955260 0.01955096 0.01955450 0.01955233 79.48229414 0.33847788 0.01939960 0.01939797 0.01940148 0.01939933 80.11061267 0.33613275 0.01924896 0.01924734 0.01925083 0.01924870 80.73893120 0.33381884 0.01910063 0.01909903 0.01910249 0.01910037 81.36724973 0.33153553 0.01895456 0.01895297 0.01895641 0.01895430 81.99556826 0.32928223 0.01881070 0.01880912 0.01881253 0.01881044 82.62388679 0.32705837 0.01866899 0.01866742 0.01867081 0.01866874 83.25220532 0.32486337 0.01852939 0.01852784 0.01853120 0.01852914 83.88052385 0.32269670 0.01839186 0.01839032 0.01839365 0.01839161 84.50884238 0.32055781 0.01825634 0.01825481 0.01825812 0.01825610 85.13716091 0.31844619 0.01812280 0.01812128 0.01812457 0.01812256 85.76547944 0.31636132 0.01799119 0.01798968 0.01799294 0.01799095 86.39379797 0.31430271 0.01786147 0.01785997 0.01786321 0.01786123 87.02211650 0.31226987 0.01773359 0.01773210 0.01773532 0.01773336 87.65043504 0.31026233 0.01760753 0.01760605 0.01760925 0.01760729 88.27875357 0.30827963 0.01748324 0.01748177 0.01748495 0.01748301 88.90707210 0.30632132 0.01736069 0.01735923 0.01736238 0.01736045 89.53539063 0.30438696 0.01723983 0.01723838 0.01724152 0.01723960 90.16370916 0.30247612 0.01712064 0.01711920 0.01712231 0.01712041 90.79202769 0.30058838 0.01700308 0.01700165 0.01700474 0.01700285 91.42034622 0.29872334 0.01688712 0.01688570 0.01688877 0.01688689 92.04866475 0.29688059 0.01677273 0.01677131 0.01677436 0.01677250 92.67698328 0.29505975 0.01665986 0.01665846 0.01666149 0.01665964 93.30530181 0.29326042 0.01654850 0.01654711 0.01655012 0.01654828 93.93362034 0.29148225 0.01643862 0.01643723 0.01644022 0.01643840 94.56193887 0.28972486 0.01633018 0.01632880 0.01633177 0.01632996 95.19025740 0.28798791 0.01622315 0.01622179 0.01622474 0.01622293 95.81857593 0.28627103 0.01611752 0.01611616 0.01611909 0.01611730 96.44689447 0.28457390 0.01601324 0.01601190 0.01601481 0.01601303 97.07521300 0.28289617 0.01591031 0.01590897 0.01591186 0.01591009 97.70353153 0.28123754 0.01580868 0.01580735 0.01581023 0.01580847 98.33185006 0.27959766 0.01570834 0.01570702 0.01570988 0.01570813 98.96016859 0.27797625 0.01560926 0.01560794 0.01561079 0.01560905 99.58848712 0.27637298 0.01551142 0.01551011 0.01551294 0.01551121 100.21680565 0.27478757 0.01541479 0.01541349 0.01541630 0.01541459 100.84512418 0.27321973 0.01531936 0.01531807 0.01532086 0.01531915 101.47344271 0.27166916 0.01522510 0.01522381 0.01522659 0.01522489 102.10176124 0.27013559 0.01513198 0.01513071 0.01513346 0.01513178 102.73007977 0.26861874 0.01504000 0.01503873 0.01504147 0.01503980 103.35839830 0.26711836 0.01494912 0.01494786 0.01495059 0.01494892 103.98671683 0.26563417 0.01485933 0.01485808 0.01486079 0.01485913 104.61503536 0.26416593 0.01477062 0.01476937 0.01477206 0.01477042 105.24335390 0.26271338 0.01468295 0.01468171 0.01468438 0.01468275 105.87167243 0.26127627 0.01459631 0.01459508 0.01459774 0.01459611 106.49999096 0.25985437 0.01451068 0.01450946 0.01451210 0.01451049 107.12830949 0.25844744 0.01442606 0.01442484 0.01442747 0.01442586 107.75662802 0.25705525 0.01434241 0.01434120 0.01434381 0.01434221 108.38494655 0.25567757 0.01425972 0.01425851 0.01426111 0.01425953 109.01326508 0.25431418 0.01417798 0.01417678 0.01417936 0.01417778 109.64158361 0.25296487 0.01409716 0.01409597 0.01409854 0.01409697 110.26990214 0.25162941 0.01401726 0.01401608 0.01401864 0.01401707 110.89822067 0.25030762 0.01393826 0.01393708 0.01393963 0.01393807 111.52653920 0.24899927 0.01386014 0.01385897 0.01386150 0.01385996 112.15485773 0.24770416 0.01378289 0.01378173 0.01378424 0.01378271 112.78317626 0.24642211 0.01370650 0.01370534 0.01370784 0.01370631 113.41149479 0.24515292 0.01363094 0.01362979 0.01363228 0.01363076 114.03981333 0.24389640 0.01355621 0.01355507 0.01355754 0.01355603 114.66813186 0.24265237 0.01348230 0.01348116 0.01348362 0.01348212 115.29645039 0.24142064 0.01340918 0.01340805 0.01341050 0.01340900 115.92476892 0.24020103 0.01333685 0.01333573 0.01333816 0.01333667 116.55308745 0.23899337 0.01326530 0.01326418 0.01326660 0.01326512 117.18140598 0.23779750 0.01319451 0.01319339 0.01319580 0.01319433 117.80972451 0.23661323 0.01312446 0.01312335 0.01312575 0.01312429 118.43804304 0.23544041 0.01305516 0.01305405 0.01305644 0.01305498 119.06636157 0.23427887 0.01298658 0.01298548 0.01298785 0.01298640 119.69468010 0.23312846 0.01291872 0.01291762 0.01291998 0.01291854 120.32299863 0.23198901 0.01285156 0.01285047 0.01285282 0.01285138 120.95131716 0.23086038 0.01278509 0.01278401 0.01278634 0.01278492 121.57963569 0.22974242 0.01271931 0.01271823 0.01272055 0.01271914 122.20795422 0.22863497 0.01265420 0.01265312 0.01265544 0.01265402 122.83627276 0.22753789 0.01258975 0.01258868 0.01259098 0.01258958 123.46459129 0.22645104 0.01252595 0.01252489 0.01252718 0.01252578 124.09290982 0.22537428 0.01246279 0.01246174 0.01246401 0.01246262 124.72122835 0.22430748 0.01240027 0.01239922 0.01240149 0.01240010 125.97786541 0.22220318 0.01227708 0.01227604 0.01227829 0.01227692 126.60618394 0.22116543 0.01221640 0.01221537 0.01221760 0.01221624 127.23450247 0.22013711 0.01215631 0.01215528 0.01215751 0.01215615 127.86282100 0.21911808 0.01209681 0.01209579 0.01209800 0.01209665 128.49113953 0.21810824 0.01203789 0.01203687 0.01203907 0.01203773 129.11945806 0.21710745 0.01197954 0.01197853 0.01198072 0.01197938 129.74777659 0.21611560 0.01192175 0.01192074 0.01192292 0.01192159 130.37609512 0.21513257 0.01186452 0.01186351 0.01186568 0.01186436 131.00441365 0.21415824 0.01180783 0.01180683 0.01180899 0.01180767 132.26105072 0.21223525 0.01169606 0.01169507 0.01169721 0.01169590 132.88936925 0.21128637 0.01164096 0.01163998 0.01164210 0.01164080 133.51768778 0.21034575 0.01158638 0.01158540 0.01158752 0.01158622 134.14600631 0.20941329 0.01153231 0.01153133 0.01153344 0.01153215 134.77432484 0.20848888 0.01147874 0.01147776 0.01147986 0.01147858 135.40264337 0.20757243 0.01142566 0.01142469 0.01142678 0.01142550 136.03096190 0.20666383 0.01137307 0.01137211 0.01137419 0.01137292 137.28759896 0.20486979 0.01126933 0.01126837 0.01127043 0.01126918 137.91591749 0.20398415 0.01121816 0.01121721 0.01121926 0.01121801 138.54423602 0.20310599 0.01116746 0.01116651 0.01116855 0.01116731 139.17255455 0.20223520 0.01111721 0.01111627 0.01111830 0.01111706 139.80087308 0.20137169 0.01106741 0.01106647 0.01106850 0.01106726 141.05751015 0.19966616 0.01096914 0.01096821 0.01097021 0.01096899 141.68582868 0.19882397 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