# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.07853982 3.63525971 0.80351471 0.80458956 0.80339536 0.80290758 0.23561945 3.50224628 0.74697933 0.74712397 0.74486438 0.74898942 0.39269908 3.23945741 0.66939572 0.66941884 0.66757308 0.67114370 0.54977871 3.05049906 0.61134390 0.61141317 0.61004882 0.61257506 0.70685835 2.91433606 0.56720282 0.56730081 0.56630324 0.56803604 0.86393798 2.81002853 0.53191008 0.53197994 0.53124039 0.53247571 1.02101761 2.72504263 0.50236374 0.50243734 0.50187874 0.50275521 1.17809725 2.65309009 0.47701259 0.47708895 0.47665827 0.47728990 1.33517688 2.59013123 0.45479022 0.45485618 0.45451742 0.45499193 1.49225651 2.53348615 0.43495561 0.43500972 0.43473851 0.43510702 1.64933614 2.48154611 0.41701638 0.41706655 0.41684615 0.41713326 1.80641578 2.43306465 0.40059564 0.40063442 0.40045329 0.40068809 1.96349541 2.38765986 0.38552600 0.38556361 0.38541337 0.38560081 2.12057504 2.34493080 0.37163796 0.37167065 0.37154493 0.37169971 2.27765467 2.30427123 0.35872485 0.35875156 0.35864578 0.35877678 2.43473431 2.26560646 0.34670815 0.34672849 0.34663900 0.34675254 2.59181394 2.22861483 0.33545359 0.33547376 0.33539777 0.33549187 2.74889357 2.19320769 0.32491229 0.32492743 0.32486275 0.32494566 2.90597320 2.15914906 0.31498546 0.31499837 0.31494340 0.31501469 3.06305284 2.12669957 0.30570395 0.30571409 0.30566729 0.30572973 3.22013247 2.09560365 0.29697694 0.29698371 0.29694387 0.29699981 3.37721210 2.06559515 0.28870485 0.28871063 0.28867679 0.28872516 3.53429174 2.03675065 0.28089144 0.28089649 0.28086786 0.28090950 3.69137137 2.00877834 0.27344887 0.27345135 0.27342733 0.27346498 3.84845100 1.98172506 0.26636126 0.26636185 0.26634181 0.26637569 4.00553063 1.95566485 0.25964501 0.25964627 0.25962974 0.25965784 4.16261027 1.93051616 0.25326121 0.25326124 0.25324780 0.25327266 4.31968990 1.90630776 0.24720653 0.24720629 0.24719556 0.24721671 4.47676953 1.88284114 0.24141858 0.24141814 0.24140982 0.24142763 4.63384916 1.86010299 0.23588806 0.23588650 0.23588033 0.23589612 4.79092880 1.83799287 0.23058036 0.23057850 0.23057423 0.23058749 4.94800843 1.81658984 0.22551073 0.22550804 0.22550548 0.22551706 5.10508806 1.79594086 0.22068342 0.22068054 0.22067950 0.22068901 5.26216769 1.77611082 0.21610960 0.21610695 0.21610726 0.21611450 5.41924733 1.75689889 0.21173119 0.21172832 0.21172983 0.21173547 5.57632696 1.73795289 0.20745662 0.20745310 0.20745570 0.20746036 5.73340659 1.71962738 0.20337443 0.20337088 0.20337448 0.20337767 5.89048623 1.70176493 0.19943712 0.19943332 0.19943781 0.19943991 6.04756586 1.68426291 0.19561646 0.19561260 0.19561788 0.19561884 6.20464549 1.66737010 0.19197517 0.19197121 0.19197722 0.19197719 6.36172512 1.65092055 0.18846682 0.18846244 0.18846911 0.18846852 6.51880476 1.63491994 0.18508981 0.18508536 0.18509262 0.18509120 6.67588439 1.61924126 0.18181143 0.18180674 0.18181455 0.18181255 6.83296402 1.60397367 0.17865266 0.17864785 0.17865617 0.17865353 6.99004365 1.58914221 0.17561723 0.17561239 0.17562116 0.17561787 7.14712329 1.57459782 0.17266684 0.17266191 0.17267109 0.17266727 7.30420292 1.56034559 0.16980074 0.16979584 0.16980540 0.16980099 7.46128255 1.54650332 0.16704749 0.16704256 0.16705246 0.16704758 7.61836218 1.53301418 0.16439170 0.16438667 0.16439687 0.16439164 7.77544182 1.51964684 0.16177411 0.16176898 0.16177946 0.16177392 7.93252145 1.50664034 0.15925343 0.15924813 0.15925886 0.15925313 8.08960108 1.49407491 0.15684986 0.15684451 0.15685548 0.15684944 8.24668072 1.48187726 0.15454383 0.15453850 0.15454968 0.15454331 8.40376035 1.46983198 0.15227964 0.15227424 0.15228561 0.15227902 8.56083998 1.45796439 0.15006434 0.15005892 0.15007047 0.15006364 8.71791961 1.44629745 0.14790211 0.14789668 0.14790839 0.14790134 8.87499925 1.43499375 0.14583369 0.14582825 0.14584009 0.14583286 9.03207888 1.42383986 0.14380554 0.14380011 0.14381209 0.14380465 9.18915851 1.41280670 0.14180919 0.14180372 0.14181581 0.14180827 9.34623814 1.40201385 0.13987395 0.13986835 0.13988055 0.13987299 9.50331778 1.39144260 0.13799496 0.13798927 0.13800157 0.13799396 9.66039741 1.38106547 0.13616538 0.13615964 0.13617203 0.13616433 9.81747704 1.37089095 0.13438687 0.13438112 0.13439360 0.13438578 9.97455668 1.36092615 0.13266116 0.13265543 0.13266798 0.13266004 10.13163631 1.35119550 0.13099331 0.13098759 0.13100020 0.13099217 10.28871594 1.34160828 0.12936003 0.12935430 0.12936697 0.12935886 10.44579557 1.33212244 0.12775161 0.12774590 0.12775861 0.12775040 10.60287521 1.32276283 0.12617418 0.12616849 0.12618124 0.12617296 10.75995484 1.31356689 0.12463660 0.12463090 0.12464369 0.12463537 10.91703447 1.30459181 0.12315262 0.12314692 0.12315974 0.12315138 11.07411410 1.29576348 0.12170339 0.12169767 0.12171051 0.12170215 11.23119374 1.28700896 0.12027096 0.12026522 0.12027807 0.12026971 11.38827337 1.27833872 0.11885803 0.11885227 0.11886513 0.11885678 11.54535300 1.26982203 0.11748158 0.11747577 0.11748865 0.11748033 11.70243263 1.26151306 0.11615481 0.11614899 0.11616188 0.11615356 11.85951227 1.25340458 0.11487567 0.11486987 0.11488277 0.11487441 12.01659190 1.24536880 0.11361235 0.11360655 0.11361945 0.11361109 12.17367153 1.23738934 0.11236074 0.11235492 0.11236781 0.11235949 12.33075117 1.22961750 0.11115809 0.11115225 0.11116513 0.11115683 12.48783080 1.22197014 0.10998382 0.10997798 0.10999086 0.10998256 12.64491043 1.21436362 0.10881725 0.10881142 0.10882428 0.10881600 12.80199006 1.20686668 0.10767524 0.10766940 0.10768224 0.10767399 12.95906970 1.19950541 0.10656411 0.10655826 0.10657109 0.10656286 13.11614933 1.19225778 0.10547842 0.10547259 0.10548540 0.10547717 13.27322896 1.18506571 0.10440401 0.10439820 0.10441099 0.10440276 13.43030859 1.17794098 0.10334366 0.10333788 0.10335064 0.10334241 13.58738823 1.17089952 0.10230097 0.10229523 0.10230796 0.10229974 13.74446786 1.16392977 0.10127309 0.10126738 0.10128008 0.10127186 13.90154749 1.15706963 0.10026944 0.10026374 0.10027641 0.10026823 14.05862712 1.15035022 0.09929770 0.09929199 0.09930463 0.09929649 14.21570676 1.14372622 0.09834656 0.09834085 0.09835346 0.09834535 14.37278639 1.13714633 0.09740336 0.09739766 0.09741024 0.09740216 14.52986602 1.13065752 0.09647959 0.09647390 0.09648645 0.09647839 14.68694566 1.12430065 0.09558522 0.09557955 0.09559206 0.09558403 14.84402529 1.11804576 0.09471294 0.09470729 0.09471977 0.09471176 15.00110492 1.11185374 0.09385316 0.09384754 0.09385998 0.09385199 15.15818455 1.10575646 0.09301358 0.09300797 0.09302037 0.09301242 15.31526419 1.09973618 0.09218987 0.09218426 0.09219662 0.09218871 15.47234382 1.09371490 0.09136304 0.09135744 0.09136976 0.09136189 15.62942345 1.08765996 0.09052511 0.09051954 0.09053182 0.09052396 15.78650308 1.08165186 0.08969570 0.08969016 0.08970240 0.08969455 15.94358272 1.07582130 0.08890660 0.08890108 0.08891329 0.08890546 16.10066235 1.07017355 0.08815902 0.08815353 0.08816570 0.08815790 16.25774198 1.06460588 0.08742792 0.08742244 0.08743456 0.08742681 16.41482162 1.05905177 0.08669715 0.08669167 0.08670375 0.08669604 16.57190125 1.05352504 0.08597009 0.08596463 0.08597666 0.08596900 16.72898088 1.04806725 0.08525682 0.08525137 0.08526336 0.08525574 16.88606051 1.04266324 0.08455366 0.08454823 0.08456016 0.08455258 17.04314015 1.03727433 0.08385124 0.08384583 0.08385771 0.08385018 17.20021978 1.03191962 0.08315420 0.08314879 0.08316063 0.08315313 17.35729941 1.02663209 0.08247046 0.08246507 0.08247686 0.08246941 17.51437904 1.02140652 0.08179877 0.08179340 0.08180515 0.08179773 17.67145868 1.01624025 0.08113853 0.08113318 0.08114489 0.08113749 17.82853831 1.01115435 0.08049487 0.08048955 0.08050121 0.08049383 17.98561794 1.00615581 0.07986947 0.07986417 0.07987579 0.07986843 18.14269757 1.00122375 0.07925722 0.07925194 0.07926352 0.07925619 18.29977721 0.99632216 0.07864940 0.07864414 0.07865568 0.07864838 18.45685684 0.99142985 0.07804089 0.07803566 0.07804714 0.07803988 18.61393647 0.98657390 0.07743828 0.07743305 0.07744449 0.07743727 18.77101611 0.98180358 0.07685347 0.07684826 0.07685965 0.07685247 18.92809574 0.97713740 0.07629094 0.07628574 0.07629709 0.07628994 19.08517537 0.97255307 0.07574530 0.07574012 0.07575142 0.07574431 19.24225500 0.96801535 0.07520803 0.07520288 0.07521413 0.07520706 19.39933464 0.96349634 0.07467239 0.07466726 0.07467846 0.07467142 19.55641427 0.95897553 0.07413343 0.07412834 0.07413948 0.07413247 19.71349390 0.95445415 0.07359149 0.07358643 0.07359752 0.07359054 19.87057353 0.94996150 0.07305366 0.07304862 0.07305967 0.07305272 20.02765317 0.94551533 0.07252421 0.07251920 0.07253020 0.07252328 20.18473280 0.94110617 0.07200086 0.07199587 0.07200682 0.07199993 20.34181243 0.93673268 0.07148329 0.07147832 0.07148923 0.07148237 20.49889206 0.93241673 0.07097681 0.07097186 0.07098272 0.07097589 20.65597170 0.92817380 0.07048517 0.07048023 0.07049105 0.07048425 20.81305133 0.92398204 0.07000308 0.06999816 0.07000894 0.07000218 20.97013096 0.91980014 0.06952060 0.06951570 0.06952643 0.06951970 21.12721060 0.91561311 0.06903412 0.06902924 0.06903992 0.06903322 21.28429023 0.91144737 0.06855001 0.06854515 0.06855578 0.06854912 21.44136986 0.90734018 0.06807727 0.06807243 0.06808302 0.06807639 21.59844949 0.90329908 0.06761773 0.06761290 0.06762345 0.06761685 21.75552913 0.89930603 0.06716705 0.06716224 0.06717274 0.06716617 21.91260876 0.89535581 0.06672399 0.06671919 0.06672965 0.06672312 22.06968839 0.89145859 0.06629101 0.06628622 0.06629664 0.06629013 22.22676802 0.88760775 0.06586649 0.06586172 0.06587210 0.06586562 22.38384766 0.88378063 0.06544501 0.06544026 0.06545059 0.06544414 22.54092729 0.87996375 0.06502333 0.06501861 0.06502889 0.06502247 22.69800692 0.87615704 0.06460146 0.06459675 0.06460699 0.06460061 22.85508655 0.87237089 0.06418191 0.06417722 0.06418742 0.06418107 23.01216619 0.86862344 0.06376907 0.06376439 0.06377454 0.06376823 23.16924582 0.86492825 0.06336619 0.06336153 0.06337164 0.06336536 23.32632545 0.86128633 0.06297353 0.06296889 0.06297896 0.06297271 23.48340509 0.85769079 0.06258945 0.06258483 0.06259486 0.06258863 23.64048472 0.85413381 0.06221207 0.06220748 0.06221746 0.06221126 23.79756435 0.85060966 0.06184004 0.06183546 0.06184540 0.06183923 23.95464398 0.84711512 0.06147258 0.06146803 0.06147792 0.06147178 24.11172362 0.84364875 0.06110937 0.06110483 0.06111469 0.06110857 24.26880325 0.84020988 0.06075026 0.06074574 0.06075555 0.06074947 24.42588288 0.83679814 0.06039517 0.06039066 0.06040044 0.06039438 24.58296251 0.83341318 0.06004403 0.06003954 0.06004927 0.06004324 24.74004215 0.83005471 0.05969677 0.05969231 0.05970200 0.05969600 24.89712178 0.82672239 0.05935335 0.05934890 0.05935855 0.05935258 25.05420141 0.82341592 0.05901369 0.05900926 0.05901887 0.05901292 25.21128105 0.82013501 0.05867774 0.05867333 0.05868289 0.05867698 25.36836068 0.81687936 0.05834544 0.05834104 0.05835057 0.05834468 25.52544031 0.81364867 0.05801672 0.05801235 0.05802184 0.05801597 25.68251994 0.81044266 0.05769155 0.05768719 0.05769664 0.05769080 25.83959958 0.80726104 0.05736986 0.05736552 0.05737492 0.05736911 25.99667921 0.80410354 0.05705159 0.05704727 0.05705664 0.05705085 26.15375884 0.80096989 0.05673670 0.05673240 0.05674172 0.05673596 26.31083847 0.79785981 0.05642513 0.05642085 0.05643014 0.05642440 26.46791811 0.79477304 0.05611684 0.05611257 0.05612182 0.05611611 26.62499774 0.79170932 0.05581177 0.05580752 0.05581673 0.05581105 26.78207737 0.78866840 0.05550988 0.05550564 0.05551482 0.05550916 26.93915700 0.78565002 0.05521111 0.05520690 0.05521603 0.05521040 27.09623664 0.78265392 0.05491543 0.05491123 0.05492033 0.05491472 27.25331627 0.77967988 0.05462278 0.05461860 0.05462766 0.05462208 27.41039590 0.77672764 0.05433313 0.05432896 0.05433798 0.05433242 27.56747554 0.77379697 0.05404642 0.05404227 0.05405125 0.05404572 27.72455517 0.77088763 0.05376261 0.05375848 0.05376743 0.05376192 27.88163480 0.76799940 0.05348167 0.05347755 0.05348646 0.05348098 28.03871443 0.76513205 0.05320355 0.05319945 0.05320832 0.05320286 28.19579407 0.76228535 0.05292820 0.05292412 0.05293296 0.05292752 28.35287370 0.75945908 0.05265560 0.05265153 0.05266034 0.05265492 28.50995333 0.75665304 0.05238570 0.05238165 0.05239042 0.05238503 28.66703296 0.75386699 0.05211846 0.05211443 0.05212316 0.05211779 28.82411260 0.75110073 0.05185385 0.05184983 0.05185852 0.05185318 28.98119223 0.74835406 0.05159182 0.05158782 0.05159648 0.05159116 29.13827186 0.74562677 0.05133235 0.05132836 0.05133698 0.05133169 29.29535149 0.74291866 0.05107539 0.05107142 0.05108001 0.05107473 29.45243113 0.74022953 0.05082091 0.05081695 0.05082551 0.05082026 29.60951076 0.73755918 0.05056888 0.05056494 0.05057346 0.05056823 29.76659039 0.73490741 0.05031926 0.05031534 0.05032382 0.05031862 29.92367003 0.73227405 0.05007202 0.05006811 0.05007656 0.05007138 30.08074966 0.72965889 0.04982713 0.04982323 0.04983165 0.04982649 30.23782929 0.72706175 0.04958455 0.04958067 0.04958906 0.04958391 30.39490892 0.72448245 0.04934425 0.04934039 0.04934874 0.04934362 30.55198856 0.72192080 0.04910621 0.04910236 0.04911068 0.04910558 30.70906819 0.71937663 0.04887038 0.04886655 0.04887483 0.04886976 30.86614782 0.71684975 0.04863674 0.04863292 0.04864118 0.04863612 31.02322745 0.71433999 0.04840527 0.04840146 0.04840969 0.04840465 31.18030709 0.71184718 0.04817592 0.04817213 0.04818032 0.04817531 31.33738672 0.70937115 0.04794868 0.04794491 0.04795306 0.04794807 31.49446635 0.70691173 0.04772351 0.04771975 0.04772788 0.04772291 31.65154598 0.70446876 0.04750039 0.04749665 0.04750474 0.04749979 31.80862562 0.70204207 0.04727929 0.04727556 0.04728362 0.04727869 31.96570525 0.69963150 0.04706018 0.04705646 0.04706450 0.04705958 32.12278488 0.69723689 0.04684304 0.04683934 0.04684734 0.04684244 32.27986452 0.69485809 0.04662784 0.04662415 0.04663212 0.04662725 32.43694415 0.69249494 0.04641455 0.04641088 0.04641882 0.04641396 32.59402378 0.69014729 0.04620316 0.04619950 0.04620741 0.04620257 32.75110341 0.68781499 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