# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.15707963 3.54047234 0.76611565 0.76640478 0.76426031 0.76767800 0.47123890 3.11204062 0.63228024 0.63231805 0.63076715 0.63372477 0.78539816 2.84946758 0.54614164 0.54621224 0.54537596 0.54681052 1.09955743 2.68262117 0.48776915 0.48784530 0.48736745 0.48808871 1.41371669 2.55700517 0.44338023 0.44344066 0.44314562 0.44354915 1.72787596 2.45314050 0.40751434 0.40756034 0.40736627 0.40761442 2.04203522 2.36296065 0.37755121 0.37758148 0.37744784 0.37761693 2.35619449 2.28181257 0.35176551 0.35178446 0.35168984 0.35181203 2.67035376 2.20818454 0.32936584 0.32938012 0.32931192 0.32940059 2.98451302 2.14045029 0.30961568 0.30962566 0.30957630 0.30964242 3.29867229 2.07798234 0.29208910 0.29209485 0.29205919 0.29211014 3.61283155 2.02007609 0.27641872 0.27642136 0.27639594 0.27643541 3.92699082 1.96635582 0.26235194 0.26235412 0.26233647 0.26236522 4.24115008 1.91605955 0.24958643 0.24958551 0.24957393 0.24959707 4.55530935 1.86928319 0.23805912 0.23805815 0.23805127 0.23806754 4.86946861 1.82516515 0.22747305 0.22747158 0.22746843 0.22747967 5.18362788 1.78399466 0.21785436 0.21785197 0.21785179 0.21785952 5.49778714 1.74507405 0.20897559 0.20897216 0.20897438 0.20897957 5.81194641 1.70845049 0.20081798 0.20081461 0.20081877 0.20082097 6.12610567 1.67362776 0.19322696 0.19322255 0.19322829 0.19322917 6.44026494 1.64054809 0.18616668 0.18616198 0.18616902 0.18616824 6.75442421 1.60943430 0.17967620 0.17967126 0.17967937 0.17967720 7.06858347 1.57971076 0.17359278 0.17358776 0.17359675 0.17359334 7.38274274 1.55151373 0.16794040 0.16793519 0.16794490 0.16794060 7.69690200 1.52449189 0.16261920 0.16261403 0.16262435 0.16261908 8.01106127 1.49865016 0.15762385 0.15761859 0.15762941 0.15762350 8.32522053 1.47384719 0.15290998 0.15290467 0.15291590 0.15290944 8.63937980 1.45014563 0.14848827 0.14848288 0.14849444 0.14848757 8.95353906 1.42731930 0.14429878 0.14429328 0.14430514 0.14429794 9.26769833 1.40530745 0.14032082 0.14031539 0.14032750 0.14031987 9.58185759 1.38428106 0.13659338 0.13658791 0.13660019 0.13659235 9.89601686 1.36397876 0.13304926 0.13304374 0.13305617 0.13304818 10.21017612 1.34432216 0.12966560 0.12965997 0.12967253 0.12966448 10.52433539 1.32547533 0.12648096 0.12647526 0.12648792 0.12647979 10.83849465 1.30729051 0.12345738 0.12345175 0.12346447 0.12345618 11.15265392 1.28959018 0.12054915 0.12054350 0.12055627 0.12054793 11.46681319 1.27239392 0.11775983 0.11775415 0.11776694 0.11775859 11.78097245 1.25576185 0.11510255 0.11509684 0.11510964 0.11510131 12.09513172 1.23952316 0.11253473 0.11252907 0.11254186 0.11253350 12.40929098 1.22383008 0.11009351 0.11008783 0.11010061 0.11009229 12.72345025 1.20874639 0.10779307 0.10778732 0.10780009 0.10779186 13.03760951 1.19398916 0.10556304 0.10555728 0.10557003 0.10556182 13.35176878 1.17960119 0.10341340 0.10340770 0.10342040 0.10341219 13.66592804 1.16574621 0.10138435 0.10137865 0.10139129 0.10138315 13.98008731 1.15222221 0.09942541 0.09941975 0.09943234 0.09942421 14.29424657 1.13895939 0.09751946 0.09751383 0.09752636 0.09751827 14.60840584 1.12598059 0.09567196 0.09566635 0.09567881 0.09567078 14.92256510 1.11346816 0.09392667 0.09392108 0.09393345 0.09392550 15.23672437 1.10129579 0.09225300 0.09224742 0.09225972 0.09225185 15.55088364 1.08931257 0.09061388 0.09060833 0.09062055 0.09061274 15.86504290 1.07751312 0.08900794 0.08900241 0.08901455 0.08900681 16.17920217 1.06603722 0.08746900 0.08746348 0.08747555 0.08746789 16.49336143 1.05492165 0.08600565 0.08600020 0.08601217 0.08600456 16.80752070 1.04402953 0.08458478 0.08457939 0.08459126 0.08458371 17.12167996 1.03323360 0.08317543 0.08317009 0.08318187 0.08317438 17.43583923 1.02264166 0.08180397 0.08179869 0.08181037 0.08180292 17.74999849 1.01250332 0.08053072 0.08052545 0.08053706 0.08052970 18.06415776 1.00256307 0.07929362 0.07928838 0.07929989 0.07929262 18.37831702 0.99275187 0.07807602 0.07807081 0.07808223 0.07807503 18.69247629 0.98316292 0.07690045 0.07689528 0.07690660 0.07689948 19.00663555 0.97367112 0.07573677 0.07573164 0.07574286 0.07573582 19.32079482 0.96429256 0.07458896 0.07458388 0.07459500 0.07458802 19.63495408 0.95513178 0.07348232 0.07347728 0.07348831 0.07348140 19.94911335 0.94612196 0.07240072 0.07239571 0.07240665 0.07239980 20.26327262 0.93737258 0.07137063 0.07136566 0.07137651 0.07136973 20.57743188 0.92891671 0.07040011 0.07039518 0.07040594 0.07039922 20.89159115 0.92065621 0.06946551 0.06946062 0.06947129 0.06946464 21.20575041 0.91254215 0.06855511 0.06855025 0.06856084 0.06855424 21.51990968 0.90456661 0.06766707 0.06766226 0.06767275 0.06766622 21.83406894 0.89672593 0.06680061 0.06679583 0.06680624 0.06679976 22.14822821 0.88901664 0.06595497 0.06595023 0.06596055 0.06595413 22.46238747 0.88143539 0.06512944 0.06512474 0.06513497 0.06512862 22.77654674 0.87397896 0.06432335 0.06431868 0.06432883 0.06432253 23.09070600 0.86664425 0.06353604 0.06353141 0.06354148 0.06353523 23.40486527 0.85942827 0.06276689 0.06276230 0.06277228 0.06276610 23.71902453 0.85232812 0.06201531 0.06201076 0.06202065 0.06201452 24.03318380 0.84534101 0.06128073 0.06127621 0.06128602 0.06127995 24.34734307 0.83846426 0.06056259 0.06055811 0.06056784 0.06056182 24.66150233 0.83169524 0.05986038 0.05985594 0.05986559 0.05985962 24.97566160 0.82503145 0.05917360 0.05916919 0.05917876 0.05917285 25.28982086 0.81847045 0.05850176 0.05849739 0.05850687 0.05850102 25.60398013 0.81200988 0.05784440 0.05784006 0.05784947 0.05784367 25.91813939 0.80564745 0.05720108 0.05719678 0.05720611 0.05720036 26.23229866 0.79938097 0.05657137 0.05656711 0.05657636 0.05657066 26.54645792 0.79320828 0.05595487 0.05595064 0.05595982 0.05595417 26.86061719 0.78712731 0.05535119 0.05534699 0.05535609 0.05535049 27.17477645 0.78113606 0.05475993 0.05475577 0.05476479 0.05475924 27.48893572 0.77523255 0.05418074 0.05417661 0.05418556 0.05418006 27.80309498 0.76941489 0.05361327 0.05360917 0.05361805 0.05361259 28.11725425 0.76368120 0.05305717 0.05305310 0.05306190 0.05305650 28.43141351 0.75802969 0.05251211 0.05250807 0.05251681 0.05251144 28.74557278 0.75245859 0.05197777 0.05197377 0.05198243 0.05197712 29.05973205 0.74696622 0.05145386 0.05144989 0.05145848 0.05145321 29.37389131 0.74155091 0.05094007 0.05093613 0.05094466 0.05093943 29.68805058 0.73621107 0.05043613 0.05043222 0.05044068 0.05043549 30.00220984 0.73094513 0.04994176 0.04993788 0.04994627 0.04994113 30.31636911 0.72575158 0.04945669 0.04945284 0.04946116 0.04945607 30.63052837 0.72062894 0.04898068 0.04897686 0.04898512 0.04898006 30.94468764 0.71557580 0.04851348 0.04850969 0.04851788 0.04851287 31.25884690 0.71059075 0.04805485 0.04805109 0.04805922 0.04805425 31.57300617 0.70567244 0.04760457 0.04760084 0.04760890 0.04760397 31.88716543 0.70081955 0.04716242 0.04715872 0.04716672 0.04716183 32.20132470 0.69603080 0.04672818 0.04672451 0.04673245 0.04672759 32.51548396 0.69130495 0.04630165 0.04629801 0.04630589 0.04630107 32.82964323 0.68664077 0.04588264 0.04587902 0.04588684 0.04588206 33.14380250 0.68203708 0.04547095 0.04546735 0.04547511 0.04547038 33.45796176 0.67749273 0.04506639 0.04506282 0.04507052 0.04506582 33.77212103 0.67300660 0.04466879 0.04466525 0.04467289 0.04466823 34.08628029 0.66857758 0.04427797 0.04427446 0.04428205 0.04427742 34.40043956 0.66420461 0.04389378 0.04389029 0.04389782 0.04389323 34.71459882 0.65988665 0.04351604 0.04351257 0.04352005 0.04351549 35.02875809 0.65562269 0.04314459 0.04314115 0.04314857 0.04314405 35.34291735 0.65141172 0.04277930 0.04277588 0.04278325 0.04277876 35.65707662 0.64725279 0.04242000 0.04241661 0.04242392 0.04241947 35.97123588 0.64314495 0.04206656 0.04206320 0.04207046 0.04206604 36.28539515 0.63908726 0.04171884 0.04171550 0.04172270 0.04171832 36.59955441 0.63507882 0.04137670 0.04137338 0.04138053 0.04137618 36.91371368 0.63111875 0.04104000 0.04103671 0.04104381 0.04103949 37.22787295 0.62720619 0.04070863 0.04070536 0.04071242 0.04070813 37.54203221 0.62334030 0.04038247 0.04037922 0.04038622 0.04038196 37.85619148 0.61952025 0.04006138 0.04005815 0.04006511 0.04006088 38.17035074 0.61574524 0.03974525 0.03974205 0.03974896 0.03974476 38.48451001 0.61201448 0.03943398 0.03943080 0.03943766 0.03943349 38.79866927 0.60832722 0.03912745 0.03912429 0.03913111 0.03912697 39.11282854 0.60468270 0.03882556 0.03882242 0.03882919 0.03882508 39.42698780 0.60108019 0.03852821 0.03852509 0.03853181 0.03852773 39.74114707 0.59751897 0.03823529 0.03823219 0.03823887 0.03823481 40.05530633 0.59399836 0.03794671 0.03794363 0.03795026 0.03794624 40.36946560 0.59051766 0.03766237 0.03765931 0.03766590 0.03766190 40.68362486 0.58707621 0.03738219 0.03737915 0.03738569 0.03738172 40.99778413 0.58367335 0.03710607 0.03710305 0.03710955 0.03710561 41.31194339 0.58030845 0.03683393 0.03683093 0.03683738 0.03683347 41.62610266 0.57698088 0.03656568 0.03656270 0.03656911 0.03656523 41.94026193 0.57369003 0.03630125 0.03629829 0.03630466 0.03630079 42.25442119 0.57043531 0.03604054 0.03603760 0.03604393 0.03604010 42.56858046 0.56721612 0.03578350 0.03578058 0.03578687 0.03578306 42.88273972 0.56403191 0.03553004 0.03552713 0.03553338 0.03552960 43.19689899 0.56088209 0.03528008 0.03527720 0.03528341 0.03527964 43.51105825 0.55776614 0.03503356 0.03503070 0.03503687 0.03503313 43.82521752 0.55468350 0.03479041 0.03478756 0.03479370 0.03478998 44.13937678 0.55163367 0.03455056 0.03454773 0.03455383 0.03455014 44.45353605 0.54861611 0.03431395 0.03431114 0.03431719 0.03431353 44.76769531 0.54563033 0.03408051 0.03407771 0.03408373 0.03408009 45.08185458 0.54267583 0.03385018 0.03384740 0.03385338 0.03384976 45.39601384 0.53975214 0.03362289 0.03362013 0.03362607 0.03362247 45.71017311 0.53685877 0.03339860 0.03339585 0.03340176 0.03339818 46.02433238 0.53399527 0.03317723 0.03317450 0.03318037 0.03317682 46.33849164 0.53116117 0.03295875 0.03295603 0.03296187 0.03295834 46.65265091 0.52835603 0.03274308 0.03274038 0.03274618 0.03274267 46.96681017 0.52557941 0.03253018 0.03252750 0.03253326 0.03252978 47.28096944 0.52283088 0.03231999 0.03231733 0.03232306 0.03231959 47.59512870 0.52011002 0.03211247 0.03210982 0.03211552 0.03211207 47.90928797 0.51741642 0.03190756 0.03190493 0.03191059 0.03190717 48.22344723 0.51474968 0.03170522 0.03170260 0.03170823 0.03170483 48.53760650 0.51210939 0.03150540 0.03150279 0.03150839 0.03150501 48.85176576 0.50949517 0.03130804 0.03130545 0.03131102 0.03130765 49.16592503 0.50690664 0.03111311 0.03111054 0.03111607 0.03111273 49.48008429 0.50434342 0.03092057 0.03091801 0.03092351 0.03092019 49.79424356 0.50180515 0.03073036 0.03072782 0.03073329 0.03072998 50.10840282 0.49929147 0.03054245 0.03053992 0.03054536 0.03054208 50.42256209 0.49680202 0.03035680 0.03035429 0.03035970 0.03035643 50.73672136 0.49433646 0.03017337 0.03017087 0.03017624 0.03017300 51.05088062 0.49189445 0.02999211 0.02998962 0.02999497 0.02999174 51.36503989 0.48947565 0.02981299 0.02981052 0.02981584 0.02981262 51.67919915 0.48707975 0.02963598 0.02963352 0.02963880 0.02963561 51.99335842 0.48470642 0.02946103 0.02945858 0.02946384 0.02946066 52.30751768 0.48235533 0.02928811 0.02928567 0.02929090 0.02928774 52.62167695 0.48002620 0.02911718 0.02911476 0.02911996 0.02911682 52.93583621 0.47771871 0.02894822 0.02894581 0.02895098 0.02894786 53.24999548 0.47543256 0.02878118 0.02877879 0.02878393 0.02878083 53.56415474 0.47316746 0.02861604 0.02861366 0.02861878 0.02861569 53.87831401 0.47092314 0.02845277 0.02845040 0.02845549 0.02845242 54.19247327 0.46869929 0.02829133 0.02828897 0.02829403 0.02829098 54.50663254 0.46649565 0.02813169 0.02812934 0.02813438 0.02813134 54.82079181 0.46431195 0.02797382 0.02797149 0.02797650 0.02797348 55.13495107 0.46214792 0.02781770 0.02781538 0.02782036 0.02781735 55.44911034 0.46000329 0.02766329 0.02766098 0.02766594 0.02766295 55.76326960 0.45787782 0.02751057 0.02750827 0.02751321 0.02751023 56.07742887 0.45577124 0.02735951 0.02735723 0.02736213 0.02735917 56.39158813 0.45368331 0.02721009 0.02720781 0.02721269 0.02720975 56.70574740 0.45161378 0.02706227 0.02706001 0.02706486 0.02706194 57.01990666 0.44956242 0.02691603 0.02691378 0.02691861 0.02691570 57.33406593 0.44752899 0.02677135 0.02676912 0.02677392 0.02677103 57.64822519 0.44551325 0.02662821 0.02662598 0.02663076 0.02662788 57.96238446 0.44351498 0.02648657 0.02648436 0.02648911 0.02648625 58.27654372 0.44153396 0.02634642 0.02634422 0.02634895 0.02634610 58.59070299 0.43956997 0.02620773 0.02620554 0.02621025 0.02620741 58.90486225 0.43762278 0.02607048 0.02606830 0.02607299 0.02607016 59.21902152 0.43569219 0.02593465 0.02593248 0.02593714 0.02593433 59.53318079 0.43377799 0.02580022 0.02579806 0.02580270 0.02579990 59.84734005 0.43187997 0.02566716 0.02566501 0.02566963 0.02566684 60.16149932 0.42999793 0.02553545 0.02553331 0.02553791 0.02553514 60.47565858 0.42813168 0.02540508 0.02540295 0.02540752 0.02540477 60.78981785 0.42628100 0.02527602 0.02527390 0.02527845 0.02527571 61.10397711 0.42444572 0.02514826 0.02514615 0.02515068 0.02514795 61.41813638 0.42262564 0.02502177 0.02501967 0.02502418 0.02502146 61.73229564 0.42082058 0.02489654 0.02489445 0.02489893 0.02489623 62.04645491 0.41903035 0.02477254 0.02477046 0.02477493 0.02477224 62.36061417 0.41725478 0.02464977 0.02464770 0.02465214 0.02464946 62.67477344 0.41549368 0.02452819 0.02452613 0.02453055 0.02452789 62.98893270 0.41374688 0.02440780 0.02440575 0.02441015 0.02440750 63.30309197 0.41201421 0.02428858 0.02428654 0.02429092 0.02428828 63.61725124 0.41029550 0.02417050 0.02416847 0.02417283 0.02417021 63.93141050 0.40859059 0.02405356 0.02405154 0.02405588 0.02405327 64.24556977 0.40689930 0.02393774 0.02393573 0.02394005 0.02393745 64.55972903 0.40522148 0.02382302 0.02382102 0.02382532 0.02382273 64.87388830 0.40355698 0.02370939 0.02370739 0.02371167 0.02370910 65.18804756 0.40190563 0.02359683 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