# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.15707963 3.53754229 0.76547924 0.76580759 0.76366516 0.76704101 0.47123890 3.11115454 0.63210133 0.63215224 0.63060043 0.63354585 0.78539816 2.84951216 0.54618151 0.54626228 0.54542613 0.54685105 1.09955743 2.68234563 0.48770611 0.48779032 0.48731249 0.48802555 1.41371669 2.55705236 0.44340070 0.44346511 0.44316997 0.44356958 1.72787596 2.45309705 0.40751118 0.40755454 0.40736039 0.40761132 2.04203522 2.36267447 0.37746562 0.37749764 0.37736409 0.37753124 2.35619449 2.28152567 0.35168128 0.35170567 0.35161114 0.35172769 2.67035376 2.20776878 0.32925268 0.32926904 0.32920096 0.32928734 2.98451302 2.14020577 0.30954672 0.30955813 0.30950882 0.30957340 3.29867229 2.07784484 0.29204442 0.29205036 0.29201471 0.29206544 3.61283155 2.02003776 0.27639961 0.27640324 0.27637783 0.27641628 3.92699082 1.96638886 0.26235971 0.26236173 0.26234414 0.26237298 4.24115008 1.91616953 0.24961383 0.24961468 0.24960312 0.24962438 4.55530935 1.86926711 0.23805037 0.23804978 0.23804292 0.23805874 4.86946861 1.82520061 0.22747537 0.22747332 0.22747020 0.22748197 5.18362788 1.78378824 0.21779396 0.21779146 0.21779132 0.21779909 5.49778714 1.74490825 0.20892967 0.20892683 0.20892910 0.20893361 5.81194641 1.70821036 0.20075598 0.20075243 0.20075662 0.20075896 6.12610567 1.67361767 0.19322308 0.19321918 0.19322493 0.19322526 6.44026494 1.64063981 0.18618996 0.18618551 0.18619257 0.18619150 6.75442421 1.60942908 0.17967375 0.17966913 0.17967726 0.17967474 7.06858347 1.57967132 0.17358081 0.17357614 0.17358513 0.17358135 7.38274274 1.55148057 0.16792951 0.16792457 0.16793428 0.16792969 7.69690200 1.52445763 0.16260937 0.16260438 0.16261470 0.16260926 8.01106127 1.49841726 0.15756283 0.15755776 0.15756858 0.15756248 8.32522053 1.47364041 0.15285566 0.15285030 0.15286154 0.15285510 8.63937980 1.44996408 0.14844226 0.14843687 0.14844846 0.14844154 8.95353906 1.42716712 0.14426017 0.14425469 0.14426656 0.14425934 9.26769833 1.40545460 0.14035629 0.14035077 0.14036287 0.14035534 9.58185759 1.38444544 0.13663327 0.13662776 0.13664005 0.13663224 9.89601686 1.36429157 0.13312578 0.13312025 0.13313268 0.13312470 10.21017612 1.34467678 0.12975219 0.12974658 0.12975912 0.12975106 10.52433539 1.32553267 0.12649372 0.12648804 0.12650068 0.12649255 10.83849465 1.30730866 0.12346056 0.12345483 0.12346754 0.12345937 11.15265392 1.28948793 0.12052206 0.12051631 0.12052907 0.12052085 11.46681319 1.27234062 0.11774460 0.11773883 0.11775162 0.11774337 11.78097245 1.25585371 0.11512328 0.11511756 0.11513036 0.11512203 12.09513172 1.23967144 0.11256945 0.11256373 0.11257653 0.11256821 12.40929098 1.22405912 0.11014796 0.11014221 0.11015499 0.11014673 12.72345025 1.20892592 0.10783539 0.10782965 0.10784240 0.10783417 13.03760951 1.19406333 0.10557933 0.10557360 0.10558632 0.10557811 13.35176878 1.17972115 0.10344114 0.10343545 0.10344813 0.10343993 13.66592804 1.16577770 0.10139034 0.10138466 0.10139728 0.10138915 13.98008731 1.15232457 0.09944906 0.09944338 0.09945595 0.09944788 14.29424657 1.13914426 0.09756335 0.09755767 0.09757019 0.09756217 14.60840584 1.12617873 0.09571894 0.09571325 0.09572570 0.09571776 14.92256510 1.11340892 0.09391116 0.09390554 0.09391791 0.09391000 15.23672437 1.10117858 0.09222345 0.09221787 0.09223016 0.09222231 15.55088364 1.08923983 0.09059511 0.09058956 0.09060178 0.09059398 15.86504290 1.07761941 0.08903252 0.08902700 0.08903913 0.08903141 16.17920217 1.06616501 0.08749864 0.08749317 0.08750521 0.08749754 16.49336143 1.05479320 0.08597321 0.08596779 0.08597974 0.08597213 16.80752070 1.04385919 0.08454233 0.08453694 0.08454881 0.08454127 17.12167996 1.03330342 0.08319127 0.08318595 0.08319772 0.08319023 17.43583923 1.02280457 0.08184232 0.08183704 0.08184870 0.08184129 17.74999849 1.01247842 0.08052358 0.08051832 0.08052990 0.08052256 18.06415776 1.00237934 0.07924814 0.07924292 0.07925440 0.07924714 18.37831702 0.99250441 0.07801517 0.07801001 0.07802140 0.07801418 18.69247629 0.98295002 0.07684802 0.07684289 0.07685419 0.07684706 19.00663555 0.97361151 0.07572146 0.07571635 0.07572757 0.07572050 19.32079482 0.96438405 0.07461016 0.07460509 0.07461621 0.07460922 19.63495408 0.95523680 0.07350682 0.07350178 0.07351280 0.07350589 19.94911335 0.94618506 0.07241513 0.07241014 0.07242107 0.07241421 20.26327262 0.93742414 0.07138229 0.07137734 0.07138818 0.07138138 20.57743188 0.92894300 0.07040569 0.07040078 0.07041153 0.07040480 20.89159115 0.92066754 0.06946752 0.06946263 0.06947330 0.06946663 21.20575041 0.91255155 0.06855667 0.06855183 0.06856241 0.06855580 21.51990968 0.90457556 0.06766855 0.06766375 0.06767424 0.06766769 21.83406894 0.89673448 0.06680202 0.06679725 0.06680766 0.06680117 22.14822821 0.88902482 0.06595631 0.06595158 0.06596190 0.06595547 22.46238747 0.88144321 0.06513073 0.06512604 0.06513627 0.06512990 22.77654674 0.87398645 0.06432458 0.06431992 0.06433007 0.06432376 23.09070600 0.86665143 0.06353722 0.06353260 0.06354266 0.06353641 23.40486527 0.85943515 0.06276802 0.06276344 0.06277342 0.06276722 23.71902453 0.85233472 0.06201639 0.06201185 0.06202174 0.06201560 24.03318380 0.84534734 0.06128176 0.06127726 0.06128706 0.06128098 24.34734307 0.83847033 0.06056359 0.06055912 0.06056884 0.06056282 24.66150233 0.83170108 0.05986134 0.05985691 0.05986655 0.05986058 24.97566160 0.82503705 0.05917452 0.05917012 0.05917968 0.05917377 25.28982086 0.81847583 0.05850265 0.05849828 0.05850777 0.05850190 25.60398013 0.81201505 0.05784526 0.05784093 0.05785033 0.05784452 25.91813939 0.80565243 0.05720191 0.05719762 0.05720694 0.05720118 26.23229866 0.79938575 0.05657217 0.05656792 0.05657716 0.05657146 26.54645792 0.79321288 0.05595565 0.05595142 0.05596059 0.05595494 26.86061719 0.78713175 0.05535193 0.05534774 0.05535684 0.05535123 27.17477645 0.78114033 0.05476065 0.05475650 0.05476552 0.05475996 27.48893572 0.77523666 0.05418144 0.05417732 0.05418627 0.05418076 27.80309498 0.76941885 0.05361395 0.05360986 0.05361873 0.05361327 28.11725425 0.76368501 0.05305783 0.05305377 0.05306257 0.05305716 28.43141351 0.75803336 0.05251275 0.05250872 0.05251745 0.05251209 28.74557278 0.75246213 0.05197840 0.05197440 0.05198306 0.05197774 29.05973205 0.74696963 0.05145447 0.05145050 0.05145909 0.05145382 29.37389131 0.74155420 0.05094066 0.05093673 0.05094525 0.05094002 29.68805058 0.73621424 0.05043671 0.05043280 0.05044125 0.05043607 30.00220984 0.73094819 0.04994232 0.04993844 0.04994683 0.04994169 30.31636911 0.72575453 0.04945724 0.04945339 0.04946171 0.04945661 30.63052837 0.72063179 0.04898121 0.04897740 0.04898565 0.04898060 30.94468764 0.71557854 0.04851400 0.04851021 0.04851840 0.04851339 31.25884690 0.71059339 0.04805536 0.04805161 0.04805973 0.04805476 31.57300617 0.70567499 0.04760507 0.04760134 0.04760940 0.04760447 31.88716543 0.70082201 0.04716291 0.04715921 0.04716721 0.04716231 32.20132470 0.69603318 0.04672866 0.04672499 0.04673293 0.04672807 32.51548396 0.69130724 0.04630212 0.04629848 0.04630636 0.04630154 32.82964323 0.68664298 0.04588310 0.04587948 0.04588730 0.04588252 33.14380250 0.68203922 0.04547140 0.04546780 0.04547556 0.04547082 33.45796176 0.67749479 0.04506683 0.04506326 0.04507097 0.04506626 33.77212103 0.67300858 0.04466922 0.04466568 0.04467333 0.04466866 34.08628029 0.66857950 0.04427840 0.04427489 0.04428247 0.04427784 34.40043956 0.66420646 0.04389419 0.04389071 0.04389824 0.04389364 34.71459882 0.65988844 0.04351645 0.04351298 0.04352046 0.04351590 35.02875809 0.65562441 0.04314500 0.04314156 0.04314898 0.04314446 35.34291735 0.65141338 0.04277969 0.04277628 0.04278365 0.04277916 35.65707662 0.64725439 0.04242039 0.04241700 0.04242431 0.04241986 35.97123588 0.64314649 0.04206694 0.04206358 0.04207084 0.04206642 36.28539515 0.63908875 0.04171922 0.04171587 0.04172308 0.04171869 36.59955441 0.63508026 0.04137707 0.04137375 0.04138091 0.04137655 36.91371368 0.63112014 0.04104037 0.04103708 0.04104418 0.04103986 37.22787295 0.62720753 0.04070899 0.04070572 0.04071278 0.04070849 37.54203221 0.62334158 0.04038282 0.04037957 0.04038658 0.04038232 37.85619148 0.61952149 0.04006173 0.04005850 0.04006546 0.04006123 38.17035074 0.61574643 0.03974560 0.03974239 0.03974930 0.03974510 38.48451001 0.61201563 0.03943432 0.03943114 0.03943800 0.03943383 38.79866927 0.60832833 0.03912779 0.03912463 0.03913144 0.03912730 39.11282854 0.60468376 0.03882590 0.03882276 0.03882952 0.03882541 39.42698780 0.60108121 0.03852854 0.03852542 0.03853214 0.03852806 39.74114707 0.59751996 0.03823561 0.03823252 0.03823919 0.03823514 40.05530633 0.59399931 0.03794703 0.03794395 0.03795058 0.03794655 40.36946560 0.59051857 0.03766269 0.03765963 0.03766622 0.03766222 40.68362486 0.58707709 0.03738250 0.03737946 0.03738600 0.03738203 40.99778413 0.58367419 0.03710638 0.03710336 0.03710986 0.03710591 41.31194339 0.58030926 0.03683423 0.03683123 0.03683769 0.03683377 41.62610266 0.57698166 0.03656598 0.03656300 0.03656942 0.03656553 41.94026193 0.57369078 0.03630154 0.03629858 0.03630496 0.03630109 42.25442119 0.57043603 0.03604084 0.03603790 0.03604423 0.03604039 42.56858046 0.56721681 0.03578379 0.03578087 0.03578716 0.03578335 42.88273972 0.56403256 0.03553032 0.03552742 0.03553367 0.03552988 43.19689899 0.56088272 0.03528037 0.03527748 0.03528369 0.03527993 43.51105825 0.55776674 0.03503384 0.03503098 0.03503715 0.03503341 43.82521752 0.55468408 0.03479069 0.03478784 0.03479397 0.03479026 44.13937678 0.55163422 0.03455084 0.03454801 0.03455410 0.03455041 44.45353605 0.54861664 0.03431422 0.03431141 0.03431747 0.03431380 44.76769531 0.54563084 0.03408078 0.03407798 0.03408400 0.03408036 45.08185458 0.54267632 0.03385044 0.03384766 0.03385364 0.03385002 45.39601384 0.53975260 0.03362316 0.03362039 0.03362634 0.03362274 45.71017311 0.53685921 0.03339886 0.03339611 0.03340202 0.03339845 46.02433238 0.53399568 0.03317749 0.03317477 0.03318064 0.03317708 46.33849164 0.53116156 0.03295900 0.03295629 0.03296213 0.03295860 46.65265091 0.52835640 0.03274334 0.03274064 0.03274644 0.03274293 46.96681017 0.52557977 0.03253043 0.03252775 0.03253352 0.03253003 47.28096944 0.52283122 0.03232025 0.03231758 0.03232331 0.03231985 47.59512870 0.52011035 0.03211272 0.03211007 0.03211577 0.03211232 47.90928797 0.51741673 0.03190781 0.03190518 0.03191084 0.03190742 48.22344723 0.51474997 0.03170547 0.03170285 0.03170848 0.03170507 48.53760650 0.51210966 0.03150564 0.03150304 0.03150863 0.03150525 48.85176576 0.50949543 0.03130828 0.03130570 0.03131126 0.03130790 49.16592503 0.50690688 0.03111335 0.03111078 0.03111631 0.03111297 49.48008429 0.50434365 0.03092081 0.03091825 0.03092375 0.03092042 49.79424356 0.50180536 0.03073060 0.03072806 0.03073352 0.03073022 50.10840282 0.49929166 0.03054269 0.03054016 0.03054560 0.03054231 50.42256209 0.49680220 0.03035704 0.03035452 0.03035993 0.03035666 50.73672136 0.49433663 0.03017360 0.03017110 0.03017647 0.03017323 51.05088062 0.49189461 0.02999234 0.02998985 0.02999520 0.02999197 51.36503989 0.48947580 0.02981322 0.02981075 0.02981606 0.02981285 51.67919915 0.48707988 0.02963620 0.02963374 0.02963903 0.02963584 51.99335842 0.48470654 0.02946125 0.02945880 0.02946406 0.02946089 52.30751768 0.48235544 0.02928833 0.02928590 0.02929113 0.02928797 52.62167695 0.48002630 0.02911740 0.02911498 0.02912018 0.02911704 52.93583621 0.47771879 0.02894844 0.02894603 0.02895120 0.02894808 53.24999548 0.47543264 0.02878140 0.02877901 0.02878415 0.02878105 53.56415474 0.47316753 0.02861626 0.02861388 0.02861900 0.02861591 53.87831401 0.47092319 0.02845298 0.02845062 0.02845570 0.02845263 54.19247327 0.46869934 0.02829154 0.02828918 0.02829425 0.02829119 54.50663254 0.46649569 0.02813190 0.02812956 0.02813459 0.02813155 54.82079181 0.46431198 0.02797403 0.02797170 0.02797671 0.02797369 55.13495107 0.46214794 0.02781791 0.02781559 0.02782057 0.02781756 55.44911034 0.46000331 0.02766350 0.02766119 0.02766615 0.02766316 55.76326960 0.45787782 0.02751078 0.02750848 0.02751341 0.02751044 56.07742887 0.45577124 0.02735972 0.02735743 0.02736234 0.02735938 56.39158813 0.45368330 0.02721029 0.02720802 0.02721290 0.02720996 56.70574740 0.45161376 0.02706247 0.02706021 0.02706507 0.02706214 57.01990666 0.44956239 0.02691623 0.02691399 0.02691882 0.02691590 57.33406593 0.44752895 0.02677156 0.02676932 0.02677412 0.02677123 57.64822519 0.44551321 0.02662841 0.02662618 0.02663096 0.02662808 57.96238446 0.44351494 0.02648677 0.02648456 0.02648931 0.02648645 58.27654372 0.44153391 0.02634662 0.02634441 0.02634915 0.02634629 58.59070299 0.43956991 0.02620793 0.02620574 0.02621045 0.02620761 58.90486225 0.43762272 0.02607068 0.02606850 0.02607318 0.02607036 59.21902152 0.43569212 0.02593485 0.02593268 0.02593734 0.02593453 59.53318079 0.43377792 0.02580041 0.02579825 0.02580289 0.02580009 59.84734005 0.43187989 0.02566735 0.02566520 0.02566982 0.02566703 60.16149932 0.42999785 0.02553564 0.02553350 0.02553810 0.02553533 60.47565858 0.42813159 0.02540527 0.02540314 0.02540771 0.02540496 60.78981785 0.42628091 0.02527621 0.02527409 0.02527864 0.02527590 61.10397711 0.42444562 0.02514845 0.02514634 0.02515087 0.02514814 61.41813638 0.42262554 0.02502196 0.02501986 0.02502436 0.02502165 61.73229564 0.42082047 0.02489672 0.02489463 0.02489912 0.02489642 62.04645491 0.41903024 0.02477273 0.02477065 0.02477511 0.02477242 62.36061417 0.41725466 0.02464995 0.02464788 0.02465232 0.02464965 62.67477344 0.41549356 0.02452837 0.02452631 0.02453074 0.02452807 62.98893270 0.41374676 0.02440798 0.02440593 0.02441033 0.02440768 63.30309197 0.41201408 0.02428876 0.02428672 0.02429110 0.02428846 63.61725124 0.41029537 0.02417068 0.02416865 0.02417301 0.02417039 63.93141050 0.40859045 0.02405374 0.02405172 0.02405606 0.02405345 64.24556977 0.40689916 0.02393792 0.02393591 0.02394023 0.02393763 64.55972903 0.40522134 0.02382320 0.02382120 0.02382550 0.02382291 64.87388830 0.40355683 0.02370956 0.02370757 0.02371185 0.02370927 65.18804756 0.40190548 0.02359700 0.02359502 0.02359928 0.02359671 65.50220683 0.40026713 0.02348549 0.02348352 0.02348776 0.02348520 65.81636609 0.39864162 0.02337503 0.02337306 0.02337728 0.02337474 66.13052536 0.39702882 0.02326559 0.02326363 0.02326783 0.02326530 66.44468462 0.39542857 0.02315716 0.02315521 0.02315940 0.02315688 66.75884389 0.39384073 0.02304973 0.02304779 0.02305196 0.02304945 67.07300315 0.39226516 0.02294329 0.02294136 0.02294550 0.02294301 67.38716242 0.39070172 0.02283782 0.02283589 0.02284002 0.02283754 67.70132168 0.38915027 0.02273331 0.02273139 0.02273550 0.02273303 68.01548095 0.38761067 0.02262974 0.02262783 0.02263192 0.02262946 68.32964022 0.38608279 0.02252711 0.02252521 0.02252928 0.02252683 68.64379948 0.38456650 0.02242539 0.02242350 0.02242756 0.02242512 68.95795875 0.38306168 0.02232459 0.02232270 0.02232674 0.02232431 69.27211801 0.38156818 0.02222468 0.02222280 0.02222683 0.02222441 69.58627728 0.38008589 0.02212565 0.02212379 0.02212779 0.02212538 69.90043654 0.37861467 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