# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.15707963 3.53907889 0.76578454 0.76603746 0.76389043 0.76735121 0.47123890 3.11168975 0.63221775 0.63222054 0.63067069 0.63366360 0.78539816 2.84935964 0.54611614 0.54618995 0.54535450 0.54678617 1.09955743 2.68228175 0.48768612 0.48776356 0.48728635 0.48800649 1.41371669 2.55702322 0.44338163 0.44344248 0.44314772 0.44355111 1.72787596 2.45306049 0.40748879 0.40753599 0.40734200 0.40758921 2.04203522 2.36275923 0.37748094 0.37751529 0.37738176 0.37754666 2.35619449 2.28151247 0.35166963 0.35169521 0.35160067 0.35171618 2.67035376 2.20773831 0.32924404 0.32926006 0.32919205 0.32927874 2.98451302 2.14019327 0.30954171 0.30955131 0.30950204 0.30956847 3.29867229 2.07783044 0.29204657 0.29205121 0.29201567 0.29206763 3.61283155 2.02015361 0.27643468 0.27643797 0.27641263 0.27645138 3.92699082 1.96627584 0.26232602 0.26232749 0.26230990 0.26233936 4.24115008 1.91584176 0.24952576 0.24952562 0.24951409 0.24953638 4.55530935 1.86897983 0.23797479 0.23797379 0.23796697 0.23798319 4.86946861 1.82515760 0.22746499 0.22746292 0.22745981 0.22747160 5.18362788 1.78376464 0.21778692 0.21778425 0.21778409 0.21779209 5.49778714 1.74502340 0.20895591 0.20895276 0.20895498 0.20895987 5.81194641 1.70825262 0.20076010 0.20075652 0.20076070 0.20076307 6.12610567 1.67338212 0.19315890 0.19315525 0.19316103 0.19316107 6.44026494 1.64064564 0.18618925 0.18618524 0.18619232 0.18619075 6.75442421 1.60943790 0.17967333 0.17966881 0.17967694 0.17967429 7.06858347 1.57970775 0.17359005 0.17358536 0.17359437 0.17359057 7.38274274 1.55141195 0.16791188 0.16790712 0.16791684 0.16791204 7.69690200 1.52440148 0.16259256 0.16258770 0.16259803 0.16259242 8.01106127 1.49842072 0.15756169 0.15755656 0.15756739 0.15756133 8.32522053 1.47385247 0.15290775 0.15290251 0.15291375 0.15290719 8.63937980 1.45005028 0.14846147 0.14845602 0.14846761 0.14846075 8.95353906 1.42702221 0.14422155 0.14421603 0.14422791 0.14422070 9.26769833 1.40530068 0.14031664 0.14031106 0.14032318 0.14031568 9.58185759 1.38433956 0.13660591 0.13660024 0.13661255 0.13660488 9.89601686 1.36408943 0.13307393 0.13306827 0.13308071 0.13307284 10.21017612 1.34446246 0.12969750 0.12969184 0.12970442 0.12969635 10.52433539 1.32549090 0.12648241 0.12647677 0.12648943 0.12648122 10.83849465 1.30707972 0.12340310 0.12339741 0.12341014 0.12340190 11.15265392 1.28934618 0.12048635 0.12048068 0.12049346 0.12048511 11.46681319 1.27233016 0.11774164 0.11773596 0.11774875 0.11774041 11.78097245 1.25579456 0.11510847 0.11510270 0.11511549 0.11510725 12.09513172 1.23955799 0.11254110 0.11253530 0.11254809 0.11253987 12.40929098 1.22386497 0.11009998 0.11009413 0.11010692 0.11009874 12.72345025 1.20883113 0.10781182 0.10780604 0.10781882 0.10781058 13.03760951 1.19412194 0.10559350 0.10558777 0.10560051 0.10559228 13.35176878 1.17973710 0.10344456 0.10343887 0.10345155 0.10344336 13.66592804 1.16592514 0.10142584 0.10142015 0.10143278 0.10142465 13.98008731 1.15220708 0.09941943 0.09941377 0.09942633 0.09941826 14.29424657 1.13881965 0.09748311 0.09747745 0.09748995 0.09748195 14.60840584 1.12598913 0.09567172 0.09566607 0.09567851 0.09567056 14.92256510 1.11335445 0.09389669 0.09389112 0.09390348 0.09389554 15.23672437 1.10095605 0.09216818 0.09216264 0.09217492 0.09216707 15.55088364 1.08894275 0.09052198 0.09051641 0.09052861 0.09052088 15.86504290 1.07735964 0.08896857 0.08896305 0.08897519 0.08896748 16.17920217 1.06601123 0.08746055 0.08745508 0.08746713 0.08745948 16.49336143 1.05494247 0.08600864 0.08600323 0.08601518 0.08600759 16.80752070 1.04394182 0.08456157 0.08455618 0.08456803 0.08456053 17.12167996 1.03309898 0.08314106 0.08313568 0.08314744 0.08314002 17.43583923 1.02256987 0.08178485 0.08177949 0.08179117 0.08178382 17.74999849 1.01229129 0.08047766 0.08047234 0.08048393 0.08047665 18.06415776 1.00221513 0.07920767 0.07920242 0.07921391 0.07920668 18.37831702 0.99241358 0.07799248 0.07798727 0.07799867 0.07799150 18.69247629 0.98282462 0.07681708 0.07681192 0.07682323 0.07681613 19.00663555 0.97340312 0.07567052 0.07566540 0.07567662 0.07566958 19.32079482 0.96417654 0.07455946 0.07455440 0.07456552 0.07455853 19.63495408 0.95505365 0.07346196 0.07345693 0.07346796 0.07346105 19.94911335 0.94604252 0.07238008 0.07237507 0.07238601 0.07237918 20.26327262 0.93734499 0.07136256 0.07135759 0.07136843 0.07136167 20.57743188 0.92891671 0.07039873 0.07039379 0.07040455 0.07039785 20.89159115 0.92065892 0.06946482 0.06945992 0.06947059 0.06946395 21.20575041 0.91254500 0.06855448 0.06854961 0.06856020 0.06855361 21.51990968 0.90456954 0.06766648 0.06766166 0.06767216 0.06766563 21.83406894 0.89672893 0.06680006 0.06679528 0.06680568 0.06679922 22.14822821 0.88901968 0.06595446 0.06594971 0.06596003 0.06595363 22.46238747 0.88143847 0.06512897 0.06512426 0.06513449 0.06512815 22.77654674 0.87398208 0.06432291 0.06431824 0.06432838 0.06432210 23.09070600 0.86664739 0.06353563 0.06353100 0.06354106 0.06353483 23.40486527 0.85943143 0.06276651 0.06276192 0.06277189 0.06276572 23.71902453 0.85233129 0.06201495 0.06201040 0.06202029 0.06201417 24.03318380 0.84534418 0.06128039 0.06127587 0.06128568 0.06127962 24.34734307 0.83846742 0.06056228 0.06055780 0.06056752 0.06056152 24.66150233 0.83169840 0.05986009 0.05985565 0.05986529 0.05985934 24.97566160 0.82503460 0.05917333 0.05916892 0.05917848 0.05917258 25.28982086 0.81847358 0.05850150 0.05849713 0.05850661 0.05850077 25.60398013 0.81201299 0.05784416 0.05783982 0.05784923 0.05784343 25.91813939 0.80565054 0.05720086 0.05719656 0.05720588 0.05720014 26.23229866 0.79938403 0.05657117 0.05656690 0.05657615 0.05657046 26.54645792 0.79321131 0.05595468 0.05595045 0.05595962 0.05595398 26.86061719 0.78713032 0.05535100 0.05534680 0.05535590 0.05535031 27.17477645 0.78113903 0.05475976 0.05475559 0.05476462 0.05475907 27.48893572 0.77523549 0.05418058 0.05417645 0.05418540 0.05417990 27.80309498 0.76941779 0.05361312 0.05360902 0.05361789 0.05361245 28.11725425 0.76368407 0.05305703 0.05305296 0.05306176 0.05305636 28.43141351 0.75803252 0.05251198 0.05250794 0.05251667 0.05251132 28.74557278 0.75246139 0.05197765 0.05197365 0.05198231 0.05197700 29.05973205 0.74696898 0.05145375 0.05144977 0.05145836 0.05145310 29.37389131 0.74155363 0.05093997 0.05093603 0.05094455 0.05093933 29.68805058 0.73621374 0.05043603 0.05043212 0.05044057 0.05043540 30.00220984 0.73094776 0.04994166 0.04993778 0.04994617 0.04994103 30.31636911 0.72575417 0.04945660 0.04945275 0.04946107 0.04945598 30.63052837 0.72063150 0.04898060 0.04897678 0.04898503 0.04897998 30.94468764 0.71557832 0.04851340 0.04850961 0.04851780 0.04851279 31.25884690 0.71059323 0.04805478 0.04805102 0.04805914 0.04805418 31.57300617 0.70567488 0.04760450 0.04760077 0.04760883 0.04760391 31.88716543 0.70082195 0.04716236 0.04715865 0.04716665 0.04716176 32.20132470 0.69603316 0.04672812 0.04672445 0.04673239 0.04672754 32.51548396 0.69130727 0.04630160 0.04629795 0.04630583 0.04630102 32.82964323 0.68664305 0.04588259 0.04587897 0.04588678 0.04588201 33.14380250 0.68203932 0.04547090 0.04546730 0.04547506 0.04547033 33.45796176 0.67749494 0.04506634 0.04506278 0.04507048 0.04506578 33.77212103 0.67300876 0.04466875 0.04466521 0.04467285 0.04466819 34.08628029 0.66857971 0.04427794 0.04427442 0.04428201 0.04427738 34.40043956 0.66420670 0.04389374 0.04389025 0.04389778 0.04389319 34.71459882 0.65988871 0.04351600 0.04351254 0.04352001 0.04351546 35.02875809 0.65562471 0.04314456 0.04314112 0.04314854 0.04314402 35.34291735 0.65141371 0.04277927 0.04277585 0.04278322 0.04277873 35.65707662 0.64725474 0.04241997 0.04241658 0.04242390 0.04241944 35.97123588 0.64314686 0.04206654 0.04206317 0.04207043 0.04206601 36.28539515 0.63908914 0.04171881 0.04171547 0.04172268 0.04171829 36.59955441 0.63508067 0.04137667 0.04137335 0.04138051 0.04137616 36.91371368 0.63112057 0.04103998 0.04103669 0.04104379 0.04103947 37.22787295 0.62720797 0.04070862 0.04070534 0.04071240 0.04070811 37.54203221 0.62334205 0.04038245 0.04037920 0.04038620 0.04038195 37.85619148 0.61952196 0.04006136 0.04005813 0.04006509 0.04006086 38.17035074 0.61574692 0.03974524 0.03974203 0.03974894 0.03974474 38.48451001 0.61201614 0.03943397 0.03943078 0.03943765 0.03943348 38.79866927 0.60832884 0.03912744 0.03912428 0.03913109 0.03912696 39.11282854 0.60468429 0.03882555 0.03882241 0.03882918 0.03882507 39.42698780 0.60108175 0.03852820 0.03852508 0.03853180 0.03852772 39.74114707 0.59752051 0.03823528 0.03823218 0.03823886 0.03823481 40.05530633 0.59399987 0.03794670 0.03794362 0.03795025 0.03794623 40.36946560 0.59051914 0.03766236 0.03765931 0.03766589 0.03766190 40.68362486 0.58707766 0.03738218 0.03737914 0.03738569 0.03738172 40.99778413 0.58367478 0.03710606 0.03710304 0.03710954 0.03710560 41.31194339 0.58030985 0.03683392 0.03683092 0.03683738 0.03683346 41.62610266 0.57698226 0.03656568 0.03656270 0.03656911 0.03656522 41.94026193 0.57369138 0.03630124 0.03629828 0.03630465 0.03630079 42.25442119 0.57043664 0.03604054 0.03603760 0.03604393 0.03604009 42.56858046 0.56721743 0.03578350 0.03578057 0.03578686 0.03578305 42.88273972 0.56403318 0.03553003 0.03552713 0.03553338 0.03552959 43.19689899 0.56088335 0.03528008 0.03527719 0.03528340 0.03527964 43.51105825 0.55776737 0.03503356 0.03503069 0.03503686 0.03503313 43.82521752 0.55468471 0.03479041 0.03478756 0.03479369 0.03478998 44.13937678 0.55163485 0.03455056 0.03454773 0.03455383 0.03455014 44.45353605 0.54861727 0.03431395 0.03431114 0.03431719 0.03431353 44.76769531 0.54563147 0.03408051 0.03407771 0.03408373 0.03408009 45.08185458 0.54267696 0.03385018 0.03384740 0.03385338 0.03384976 45.39601384 0.53975324 0.03362289 0.03362013 0.03362607 0.03362248 45.71017311 0.53685985 0.03339860 0.03339585 0.03340176 0.03339818 46.02433238 0.53399633 0.03317724 0.03317451 0.03318038 0.03317682 46.33849164 0.53116221 0.03295875 0.03295604 0.03296187 0.03295834 46.65265091 0.52835705 0.03274308 0.03274038 0.03274619 0.03274268 46.96681017 0.52558041 0.03253018 0.03252750 0.03253327 0.03252978 47.28096944 0.52283187 0.03232000 0.03231733 0.03232306 0.03231960 47.59512870 0.52011099 0.03211248 0.03210983 0.03211552 0.03211208 47.90928797 0.51741738 0.03190757 0.03190493 0.03191060 0.03190717 48.22344723 0.51475061 0.03170522 0.03170261 0.03170824 0.03170483 48.53760650 0.51211031 0.03150540 0.03150280 0.03150839 0.03150501 48.85176576 0.50949607 0.03130805 0.03130546 0.03131102 0.03130766 49.16592503 0.50690753 0.03111312 0.03111054 0.03111608 0.03111273 49.48008429 0.50434429 0.03092057 0.03091801 0.03092352 0.03092019 49.79424356 0.50180601 0.03073037 0.03072782 0.03073329 0.03072999 50.10840282 0.49929231 0.03054246 0.03053993 0.03054537 0.03054208 50.42256209 0.49680284 0.03035681 0.03035429 0.03035970 0.03035643 50.73672136 0.49433727 0.03017337 0.03017087 0.03017625 0.03017300 51.05088062 0.49189524 0.02999212 0.02998963 0.02999498 0.02999175 51.36503989 0.48947644 0.02981300 0.02981052 0.02981584 0.02981263 51.67919915 0.48708052 0.02963598 0.02963352 0.02963881 0.02963562 51.99335842 0.48470717 0.02946103 0.02945858 0.02946384 0.02946067 52.30751768 0.48235607 0.02928811 0.02928568 0.02929091 0.02928775 52.62167695 0.48002693 0.02911719 0.02911477 0.02911997 0.02911683 52.93583621 0.47771942 0.02894822 0.02894582 0.02895099 0.02894787 53.24999548 0.47543326 0.02878119 0.02877879 0.02878394 0.02878083 53.56415474 0.47316815 0.02861605 0.02861367 0.02861879 0.02861570 53.87831401 0.47092381 0.02845277 0.02845041 0.02845550 0.02845242 54.19247327 0.46869996 0.02829133 0.02828898 0.02829404 0.02829098 54.50663254 0.46649631 0.02813169 0.02812935 0.02813438 0.02813135 54.82079181 0.46431259 0.02797383 0.02797149 0.02797650 0.02797348 55.13495107 0.46214855 0.02781770 0.02781538 0.02782037 0.02781736 55.44911034 0.46000391 0.02766330 0.02766099 0.02766595 0.02766296 55.76326960 0.45787843 0.02751058 0.02750828 0.02751321 0.02751024 56.07742887 0.45577184 0.02735952 0.02735723 0.02736214 0.02735918 56.39158813 0.45368390 0.02721009 0.02720782 0.02721270 0.02720976 56.70574740 0.45161436 0.02706227 0.02706001 0.02706487 0.02706194 57.01990666 0.44956299 0.02691604 0.02691379 0.02691862 0.02691571 57.33406593 0.44752955 0.02677136 0.02676912 0.02677393 0.02677103 57.64822519 0.44551380 0.02662822 0.02662599 0.02663077 0.02662789 57.96238446 0.44351552 0.02648658 0.02648436 0.02648912 0.02648625 58.27654372 0.44153449 0.02634643 0.02634422 0.02634896 0.02634610 58.59070299 0.43957049 0.02620774 0.02620555 0.02621026 0.02620742 58.90486225 0.43762329 0.02607049 0.02606831 0.02607299 0.02607017 59.21902152 0.43569270 0.02593466 0.02593249 0.02593715 0.02593434 59.53318079 0.43377849 0.02580023 0.02579806 0.02580270 0.02579991 59.84734005 0.43188046 0.02566717 0.02566501 0.02566963 0.02566685 60.16149932 0.42999841 0.02553546 0.02553332 0.02553791 0.02553515 60.47565858 0.42813215 0.02540509 0.02540296 0.02540753 0.02540478 60.78981785 0.42628147 0.02527603 0.02527391 0.02527846 0.02527572 61.10397711 0.42444618 0.02514827 0.02514616 0.02515069 0.02514796 61.41813638 0.42262609 0.02502178 0.02501968 0.02502418 0.02502147 61.73229564 0.42082102 0.02489654 0.02489445 0.02489894 0.02489624 62.04645491 0.41903079 0.02477255 0.02477047 0.02477493 0.02477224 62.36061417 0.41725521 0.02464977 0.02464770 0.02465215 0.02464947 62.67477344 0.41549410 0.02452820 0.02452614 0.02453056 0.02452790 62.98893270 0.41374729 0.02440781 0.02440576 0.02441016 0.02440751 63.30309197 0.41201462 0.02428858 0.02428654 0.02429092 0.02428829 63.61725124 0.41029590 0.02417051 0.02416848 0.02417284 0.02417021 63.93141050 0.40859098 0.02405357 0.02405155 0.02405589 0.02405328 64.24556977 0.40689969 0.02393775 0.02393574 0.02394006 0.02393746 64.55972903 0.40522186 0.02382303 0.02382102 0.02382533 0.02382274 64.87388830 0.40355735 0.02370940 0.02370740 0.02371168 0.02370910 65.18804756 0.40190599 0.02359683 0.02359485 0.02359911 0.02359654 65.50220683 0.40026764 0.02348533 0.02348335 0.02348759 0.02348504 65.81636609 0.39864213 0.02337486 0.02337289 0.02337711 0.02337457 66.13052536 0.39702933 0.02326542 0.02326346 0.02326767 0.02326514 66.44468462 0.39542907 0.02315699 0.02315504 0.02315923 0.02315671 66.75884389 0.39384123 0.02304957 0.02304763 0.02305179 0.02304929 67.07300315 0.39226566 0.02294313 0.02294119 0.02294534 0.02294284 67.38716242 0.39070221 0.02283766 0.02283573 0.02283986 0.02283738 67.70132168 0.38915076 0.02273314 0.02273123 0.02273534 0.02273286 68.01548095 0.38761116 0.02262958 0.02262767 0.02263176 0.02262930 68.32964022 0.38608328 0.02252694 0.02252504 0.02252912 0.02252667 68.64379948 0.38456699 0.02242523 0.02242334 0.02242740 0.02242496 68.95795875 0.38306215 0.02232443 0.02232254 0.02232658 0.02232415 69.27211801 0.38156865 0.02222452 0.02222264 0.02222667 0.02222425 69.58627728 0.38008636 0.02212550 0.02212363 0.02212763 0.02212522 69.90043654 0.37861514 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