# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03141593 3.46735307 0.78210366 0.78319449 0.78499294 0.77857813 0.09424778 3.75566551 0.82868761 0.82954851 0.82816094 0.82849783 0.15707963 3.68916417 0.80143176 0.80176962 0.79958632 0.80286934 0.21991149 3.56181411 0.76318696 0.76329796 0.76096320 0.76518142 0.28274334 3.43478661 0.72639696 0.72639125 0.72415495 0.72845943 0.34557519 3.32125753 0.69343581 0.69341722 0.69137329 0.69536554 0.40840704 3.22396382 0.66469580 0.66470112 0.66287005 0.66641761 0.47123890 3.14053976 0.63950287 0.63954295 0.63792088 0.64100472 0.53407075 3.06886454 0.61735385 0.61739795 0.61596892 0.61864916 0.59690260 3.00641992 0.59759344 0.59765828 0.59640075 0.59870301 0.65973446 2.95148211 0.57983087 0.57990062 0.57879304 0.58077915 0.72256631 2.90235118 0.56364977 0.56372380 0.56274685 0.56445957 0.78539816 2.85822666 0.54885493 0.54893880 0.54807475 0.54954737 0.84823002 2.81813894 0.53521024 0.53530454 0.53453832 0.53580331 0.91106187 2.78162526 0.52261262 0.52271148 0.52202911 0.52312240 0.97389372 2.74805584 0.51090079 0.51101053 0.51040050 0.51134013 1.03672558 2.71680605 0.49991972 0.50002564 0.49947859 0.50029942 1.09955743 2.68732120 0.48952534 0.48961179 0.48911960 0.48985489 1.16238928 2.65933893 0.47964923 0.47971846 0.47927389 0.47993652 1.22522113 2.63292229 0.47030712 0.47037380 0.46997101 0.47055877 1.28805299 2.60800543 0.46147731 0.46154351 0.46117740 0.46169900 1.35088484 2.58411230 0.45303453 0.45309773 0.45276394 0.45323080 1.41371669 2.56109767 0.44493084 0.44499421 0.44468912 0.44510539 1.47654855 2.53892551 0.43716329 0.43722407 0.43694461 0.43731909 1.53938040 2.51751325 0.42970447 0.42976077 0.42950410 0.42984428 1.60221225 2.49681505 0.42254657 0.42259527 0.42235907 0.42267274 1.66504411 2.47674852 0.41565379 0.41569859 0.41548077 0.41576815 1.72787596 2.45728072 0.40900828 0.40905147 0.40885018 0.40911221 1.79070781 2.43835558 0.40259242 0.40263394 0.40244761 0.40268727 1.85353967 2.41982100 0.39636833 0.39640852 0.39623576 0.39645529 1.91637152 2.40183574 0.39037690 0.39041562 0.39025516 0.39045691 1.97920337 2.38427937 0.38457717 0.38461472 0.38446549 0.38465105 2.04203522 2.36711187 0.37895369 0.37899008 0.37885111 0.37902204 2.10486708 2.35021094 0.37347117 0.37350668 0.37337715 0.37353455 2.16769893 2.33368178 0.36816001 0.36819351 0.36807264 0.36821899 2.23053078 2.31746422 0.36299483 0.36302570 0.36291281 0.36304985 2.29336264 2.30160397 0.35798994 0.35801709 0.35791161 0.35804148 2.35619449 2.28620590 0.35316674 0.35319219 0.35309354 0.35321506 2.41902634 2.27097510 0.34843707 0.34846158 0.34836923 0.34848247 2.48185820 2.25591157 0.34380497 0.34382841 0.34374196 0.34384770 2.54469005 2.24116488 0.33930820 0.33932938 0.33924837 0.33934853 2.60752190 2.22671611 0.33494048 0.33495933 0.33488337 0.33497866 2.67035376 2.21241294 0.33065782 0.33067467 0.33060345 0.33069395 2.73318561 2.19839736 0.32649595 0.32651237 0.32644561 0.32653016 2.79601746 2.18463287 0.32244005 0.32245680 0.32239419 0.32247244 2.85884931 2.17101123 0.31846212 0.31847744 0.31841870 0.31849285 2.92168117 2.15765232 0.31459182 0.31460491 0.31454984 0.31462105 2.98451302 2.14466115 0.31085530 0.31086643 0.31081477 0.31088312 3.04734487 2.13192784 0.30721891 0.30722883 0.30718031 0.30724544 3.11017673 2.11926875 0.30363173 0.30364237 0.30359683 0.30365701 3.17300858 2.10671384 0.30010031 0.30011176 0.30006903 0.30012435 3.23584043 2.09437623 0.29665753 0.29666856 0.29662848 0.29668043 3.29867229 2.08225220 0.29330090 0.29331115 0.29327358 0.29332273 3.36150414 2.07039095 0.29003990 0.29004941 0.29001424 0.29006071 3.42433599 2.05870625 0.28684955 0.28685842 0.28682552 0.28686939 3.48716785 2.04716932 0.28372160 0.28373019 0.28369943 0.28374052 3.54999970 2.03574787 0.28064640 0.28065418 0.28062543 0.28066446 3.61283155 2.02458687 0.27766207 0.27766859 0.27764173 0.27767930 3.67566340 2.01360933 0.27474566 0.27475063 0.27472556 0.27476213 3.73849526 2.00268136 0.27186029 0.27186388 0.27184049 0.27187605 3.80132711 1.99185640 0.26902082 0.26902378 0.26900199 0.26903590 3.86415896 1.98119049 0.26624145 0.26624388 0.26622362 0.26625585 3.92699082 1.97072090 0.26353188 0.26353335 0.26351456 0.26354566 3.98982267 1.96043785 0.26088769 0.26088854 0.26087116 0.26090085 4.05265452 1.95034255 0.25830699 0.25830761 0.25829155 0.25831956 4.11548638 1.94038062 0.25577481 0.25577502 0.25576021 0.25578683 4.17831823 1.93051098 0.25327999 0.25327985 0.25326622 0.25329147 4.24115008 1.92078046 0.25083420 0.25083392 0.25082142 0.25084515 4.30398194 1.91118302 0.24843599 0.24843571 0.24842426 0.24844646 4.36681379 1.90174168 0.24609208 0.24609168 0.24608125 0.24610207 4.42964564 1.89247441 0.24380580 0.24380516 0.24379570 0.24381534 4.49247749 1.88323050 0.24153602 0.24153541 0.24152688 0.24154511 4.55530935 1.87396607 0.23927102 0.23927069 0.23926305 0.23927968 4.61814120 1.86482192 0.23704847 0.23704812 0.23704133 0.23705672 4.68097305 1.85585401 0.23488261 0.23488165 0.23487566 0.23489049 4.74380491 1.84707143 0.23277418 0.23277233 0.23276712 0.23278170 4.80663676 1.83850350 0.23072988 0.23072733 0.23072287 0.23073705 4.86946861 1.83009225 0.22873408 0.22873111 0.22872735 0.22874091 4.93230047 1.82168644 0.22674741 0.22674424 0.22674116 0.22675392 4.99513232 1.81328639 0.22476931 0.22476612 0.22476369 0.22477550 5.05796417 1.80499248 0.22282492 0.22282181 0.22281999 0.22283079 5.12079603 1.79678227 0.22090858 0.22090540 0.22090416 0.22091416 5.18362788 1.78860731 0.21900862 0.21900523 0.21900456 0.21901392 5.24645973 1.78052822 0.21714144 0.21713796 0.21713785 0.21714647 5.30929158 1.77259230 0.21531877 0.21531533 0.21531575 0.21532354 5.37212344 1.76480211 0.21354012 0.21353666 0.21353758 0.21354465 5.43495529 1.75716081 0.21180545 0.21180191 0.21180331 0.21180974 5.49778714 1.74963646 0.21010607 0.21010252 0.21010438 0.21011013 5.56061900 1.74220894 0.20843666 0.20843319 0.20843548 0.20844050 5.62345085 1.73487536 0.20679656 0.20679315 0.20679586 0.20680019 5.68628270 1.72759426 0.20517485 0.20517145 0.20517454 0.20517827 5.74911456 1.72033729 0.20356368 0.20356027 0.20356374 0.20356691 5.81194641 1.71311488 0.20196526 0.20196185 0.20196568 0.20196830 5.87477826 1.70594586 0.20038432 0.20038092 0.20038510 0.20038719 5.93761012 1.69887360 0.19883238 0.19882894 0.19883345 0.19883507 6.00044197 1.69192525 0.19731645 0.19731286 0.19731771 0.19731897 6.06327382 1.68507682 0.19583009 0.19582633 0.19583149 0.19583245 6.12610567 1.67830013 0.19436594 0.19436205 0.19436752 0.19436814 6.18893753 1.67157979 0.19291961 0.19291571 0.19292148 0.19292166 6.25176938 1.66489164 0.19148424 0.19148042 0.19148646 0.19148616 6.31460123 1.65823950 0.19006058 0.19005675 0.19006306 0.19006236 6.37743309 1.65166236 0.18865887 0.18865492 0.18866148 0.18866052 6.44026494 1.64517726 0.18728397 0.18727987 0.18728669 0.18728550 6.50309679 1.63877116 0.18593271 0.18592849 0.18593556 0.18593413 6.56592865 1.63243094 0.18460116 0.18459685 0.18460415 0.18460247 6.62876050 1.62614808 0.18328640 0.18328203 0.18328955 0.18328760 6.69159235 1.61993178 0.18199046 0.18198603 0.18199377 0.18199155 6.75442421 1.61381210 0.18072119 0.18071672 0.18072465 0.18072219 6.81725606 1.60779628 0.17948076 0.17947623 0.17948436 0.17948166 6.88008791 1.60186523 0.17826429 0.17825971 0.17826802 0.17826509 6.94291976 1.59599834 0.17706628 0.17706166 0.17707016 0.17706699 7.00575162 1.59017379 0.17588113 0.17587648 0.17588516 0.17588174 7.06858347 1.58436826 0.17470276 0.17469809 0.17470693 0.17470329 7.13141532 1.57857196 0.17352837 0.17352367 0.17353268 0.17352881 7.19424718 1.57279957 0.17236155 0.17235684 0.17236602 0.17236190 7.25707903 1.56707460 0.17120835 0.17120364 0.17121298 0.17120863 7.31991088 1.56139900 0.17006919 0.17006447 0.17007395 0.17006940 7.38274274 1.55576106 0.16894097 0.16893622 0.16894583 0.16894112 7.44557459 1.55016857 0.16782570 0.16782090 0.16783065 0.16782580 7.50840644 1.54464858 0.16673033 0.16672545 0.16673533 0.16673038 7.57123830 1.53922585 0.16566109 0.16565611 0.16566612 0.16566108 7.63407015 1.53391033 0.16462027 0.16461519 0.16462532 0.16462021 7.69690200 1.52868727 0.16360383 0.16359865 0.16360889 0.16360371 7.75973385 1.52351523 0.16260102 0.16259578 0.16260614 0.16260084 7.82256571 1.51835708 0.16160246 0.16159720 0.16160768 0.16160222 7.88539756 1.51320558 0.16060647 0.16060124 0.16061182 0.16060617 7.94822941 1.50807041 0.15961559 0.15961036 0.15962105 0.15961524 8.01106127 1.50296568 0.15863329 0.15862806 0.15863884 0.15863290 8.07389312 1.49789679 0.15766086 0.15765563 0.15766650 0.15766042 8.13672497 1.49285002 0.15669486 0.15668963 0.15670059 0.15669438 8.19955683 1.48781869 0.15573360 0.15572837 0.15573941 0.15573308 8.26238868 1.48282549 0.15478268 0.15477742 0.15478854 0.15478213 8.32522053 1.47790013 0.15384944 0.15384412 0.15385532 0.15384886 8.38805239 1.47305446 0.15293686 0.15293152 0.15294280 0.15293624 8.45088424 1.46828055 0.15204300 0.15203769 0.15204904 0.15204234 8.51371609 1.46355476 0.15116188 0.15115660 0.15116803 0.15116117 8.57654794 1.45885282 0.15028735 0.15028209 0.15029359 0.15028661 8.63937980 1.45417261 0.14941883 0.14941356 0.14942512 0.14941806 8.70221165 1.44953591 0.14856169 0.14855639 0.14856802 0.14856090 8.76504350 1.44496191 0.14772065 0.14771534 0.14772703 0.14771984 8.82787536 1.44044093 0.14689326 0.14688795 0.14689970 0.14689242 8.89070721 1.43594289 0.14607204 0.14606674 0.14607855 0.14607117 8.95353906 1.43145166 0.14525298 0.14524768 0.14525954 0.14525209 9.01637092 1.42697817 0.14443869 0.14443339 0.14444530 0.14443778 9.07920277 1.42253907 0.14363321 0.14362788 0.14363983 0.14363229 9.14203462 1.41813663 0.14283706 0.14283169 0.14284369 0.14283612 9.20486648 1.41376280 0.14204826 0.14204284 0.14205489 0.14204731 9.26769833 1.40941238 0.14126555 0.14126007 0.14127216 0.14126458 9.33053018 1.40508870 0.14048974 0.14048421 0.14049635 0.14048874 9.39336203 1.40080127 0.13972319 0.13971762 0.13972982 0.13972217 9.45619389 1.39655874 0.13896804 0.13896247 0.13897470 0.13896700 9.51902574 1.39236295 0.13822479 0.13821921 0.13823149 0.13822372 9.58185759 1.38820934 0.13749232 0.13748675 0.13749907 0.13749124 9.64468945 1.38409092 0.13676889 0.13676331 0.13677567 0.13676780 9.70752130 1.38000378 0.13605341 0.13604780 0.13606020 0.13605231 9.77035315 1.37595098 0.13534647 0.13534083 0.13535326 0.13534537 9.83318501 1.37193608 0.13464888 0.13464321 0.13465567 0.13464776 9.89601686 1.36795417 0.13395938 0.13395369 0.13396618 0.13395824 9.95884871 1.36399590 0.13327569 0.13327001 0.13328252 0.13327455 10.02168056 1.36005821 0.13259712 0.13259145 0.13260400 0.13259596 10.08451242 1.35614466 0.13192452 0.13191888 0.13193145 0.13192335 10.14734427 1.35225347 0.13125738 0.13125176 0.13126435 0.13125620 10.21017612 1.34837227 0.13059258 0.13058697 0.13059958 0.13059140 10.27300798 1.34449316 0.12992823 0.12992261 0.12993524 0.12992703 10.33583983 1.34062681 0.12926705 0.12926143 0.12927407 0.12926584 10.39867168 1.33679014 0.12861327 0.12860765 0.12862031 0.12861206 10.46150354 1.33298855 0.12796819 0.12796254 0.12797523 0.12796698 10.52433539 1.32922163 0.12733161 0.12732594 0.12733864 0.12733039 10.58716724 1.32549632 0.12670522 0.12669954 0.12671225 0.12670400 10.64999910 1.32182232 0.12609142 0.12608573 0.12609847 0.12609020 10.71283095 1.31820033 0.12549039 0.12548470 0.12549746 0.12548916 10.77566280 1.31462088 0.12489972 0.12489402 0.12490680 0.12489848 10.83849465 1.31106894 0.12431561 0.12430990 0.12432268 0.12431437 10.90132651 1.30752741 0.12373377 0.12372804 0.12374084 0.12373252 10.96415836 1.30398278 0.12315088 0.12314515 0.12315795 0.12314963 11.02699021 1.30043151 0.12256613 0.12256040 0.12257321 0.12256487 11.08982207 1.29687966 0.12198107 0.12197536 0.12198818 0.12197980 11.15265392 1.29333686 0.12139809 0.12139240 0.12140522 0.12139681 11.21548577 1.28981183 0.12081934 0.12081366 0.12082649 0.12081806 11.27831763 1.28631266 0.12024681 0.12024115 0.12025398 0.12024553 11.34114948 1.28284761 0.11968257 0.11967691 0.11968975 0.11968129 11.40398133 1.27942159 0.11912782 0.11912215 0.11913501 0.11912653 11.46681319 1.27603058 0.11858153 0.11857587 0.11858873 0.11858025 11.52964504 1.27266243 0.11804065 0.11803498 0.11804785 0.11803936 11.59247689 1.26930530 0.11750217 0.11749651 0.11750938 0.11750088 11.65530874 1.26595601 0.11696526 0.11695960 0.11697248 0.11696398 11.71814060 1.26262202 0.11643176 0.11642610 0.11643899 0.11643048 11.78097245 1.25931719 0.11590509 0.11589943 0.11591232 0.11590381 11.84380430 1.25605360 0.11538824 0.11538259 0.11539548 0.11538697 11.90663616 1.25283452 0.11488203 0.11487639 0.11488928 0.11488076 11.96946801 1.24965337 0.11438483 0.11437920 0.11439208 0.11438356 12.03229986 1.24649797 0.11389366 0.11388803 0.11390092 0.11389239 12.09513172 1.24335492 0.11340522 0.11339959 0.11341247 0.11340396 12.15796357 1.24021236 0.11291658 0.11291095 0.11292382 0.11291531 12.22079542 1.23706402 0.11242617 0.11242053 0.11243340 0.11242490 12.28362728 1.23391368 0.11193491 0.11192927 0.11194213 0.11193364 12.34645913 1.23077422 0.11144596 0.11144031 0.11145318 0.11144468 12.40929098 1.22765858 0.11096251 0.11095687 0.11096973 0.11096123 12.47212283 1.22456991 0.11048536 0.11047973 0.11049258 0.11048409 12.53495469 1.22150024 0.11001256 0.11000693 0.11001977 0.11001129 12.59778654 1.21843849 0.10954140 0.10953575 0.10954859 0.10954013 12.66061839 1.21537982 0.10907067 0.10906500 0.10907783 0.10906941 12.72345025 1.21232825 0.10860135 0.10859567 0.10860849 0.10860009 12.78628210 1.20929250 0.10813556 0.10812987 0.10814269 0.10813431 12.84911395 1.20628064 0.10767526 0.10766955 0.10768237 0.10767401 12.91194581 1.20329737 0.10722156 0.10721585 0.10722866 0.10722032 12.97477766 1.20034370 0.10677471 0.10676899 0.10678180 0.10677346 13.03760951 1.19741800 0.10633429 0.10632857 0.10634137 0.10633305 13.10044137 1.19451782 0.10589973 0.10589401 0.10590680 0.10589849 13.16327322 1.19164069 0.10547043 0.10546471 0.10547749 0.10546919 13.22610507 1.18878272 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