# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.10471976 3.63009732 0.79617432 0.79682058 0.79511210 0.79660820 0.31415927 3.34687346 0.70216624 0.70218907 0.70011564 0.70412682 0.52359878 3.07241416 0.61859866 0.61861634 0.61719043 0.61989962 0.73303829 2.89243367 0.56007092 0.56013059 0.55918989 0.56084701 0.94247780 2.76402876 0.51605388 0.51613036 0.51549462 0.51652096 1.15191731 2.66349061 0.48069451 0.48077594 0.48033008 0.48098603 1.36135682 2.57932203 0.45099692 0.45106257 0.45073909 0.45118789 1.57079633 2.50616485 0.42548256 0.42553673 0.42529471 0.42561410 1.78023584 2.44012364 0.40295838 0.40299916 0.40281387 0.40305377 1.98967535 2.37945470 0.38283969 0.38287065 0.38272630 0.38291155 2.19911486 2.32332073 0.36475485 0.36478020 0.36466627 0.36481102 2.40855437 2.27115808 0.34840894 0.34843347 0.34834249 0.34845413 2.61799388 2.22176548 0.33339846 0.33342029 0.33334718 0.33343558 2.82743339 2.17552082 0.31972464 0.31974025 0.31968131 0.31975558 3.03687290 2.13149452 0.30705081 0.30706299 0.30701534 0.30707697 3.24631241 2.09015279 0.29545104 0.29546053 0.29542216 0.29547326 3.45575192 2.05029413 0.28453663 0.28454284 0.28451214 0.28455561 3.66519143 2.01247201 0.27441625 0.27441982 0.27439543 0.27443255 3.87463094 1.97656893 0.26501864 0.26501945 0.26500037 0.26503265 4.08407045 1.94239885 0.25625864 0.25625955 0.25624489 0.25627065 4.29350996 1.90955988 0.24800619 0.24800543 0.24799452 0.24801651 4.50294947 1.87833909 0.24030994 0.24030932 0.24030160 0.24031876 4.71238898 1.84839564 0.23306075 0.23305961 0.23305459 0.23306826 4.92182849 1.81969110 0.22623035 0.22622858 0.22622588 0.22623674 5.13126800 1.79209066 0.21978031 0.21977799 0.21977733 0.21978571 5.34070751 1.76563074 0.21369134 0.21368925 0.21369028 0.21369587 5.55014702 1.74008482 0.20790688 0.20790427 0.20790680 0.20791067 5.75958653 1.71562309 0.20245643 0.20245307 0.20245690 0.20245957 5.96902604 1.69209162 0.19729252 0.19728897 0.19729395 0.19729508 6.17846555 1.66939482 0.19238253 0.19237897 0.19238494 0.19238457 6.38790506 1.64739400 0.18768795 0.18768401 0.18769085 0.18768955 6.59734457 1.62627393 0.18325180 0.18324738 0.18325499 0.18325303 6.80678408 1.60571708 0.17898289 0.17897820 0.17898649 0.17898378 7.01622359 1.58592244 0.17493121 0.17492638 0.17493526 0.17493180 7.22566310 1.56669717 0.17104429 0.17103944 0.17104883 0.17104462 7.43510261 1.54826116 0.16737617 0.16737099 0.16738084 0.16737629 7.64454212 1.53001517 0.16377041 0.16376516 0.16377543 0.16377033 7.85398163 1.51253472 0.16036927 0.16036403 0.16037467 0.16036901 8.06342114 1.49550103 0.15709207 0.15708686 0.15709780 0.15709167 8.27286065 1.47893783 0.15394274 0.15393750 0.15394872 0.15394221 8.48230016 1.46297672 0.15095266 0.15094725 0.15095874 0.15095202 8.69173967 1.44754371 0.14810100 0.14809548 0.14810719 0.14810026 8.90117919 1.43246817 0.14534228 0.14533672 0.14534861 0.14534145 9.11061870 1.41763681 0.14264789 0.14264226 0.14265433 0.14264698 9.32005821 1.40319547 0.14005408 0.14004860 0.14006081 0.14005311 9.52949772 1.38908002 0.13754405 0.13753854 0.13755087 0.13754305 9.73893723 1.37530823 0.13512166 0.13511603 0.13512848 0.13512062 9.94837674 1.36195484 0.13280376 0.13279810 0.13281065 0.13280269 10.15781625 1.34889004 0.13055753 0.13055180 0.13056443 0.13055642 10.36725576 1.33614679 0.12839051 0.12838474 0.12839743 0.12838938 10.57669527 1.32365830 0.12628529 0.12627942 0.12629218 0.12628414 10.78613478 1.31157211 0.12427765 0.12427178 0.12428458 0.12427646 10.99557429 1.29973753 0.12233015 0.12232431 0.12233713 0.12232893 11.20501380 1.28797717 0.12039967 0.12039380 0.12040664 0.12039845 11.41445331 1.27643890 0.11852144 0.11851557 0.11852842 0.11852022 11.62389282 1.26522536 0.11672026 0.11671439 0.11672726 0.11671903 11.83333233 1.25423980 0.11497203 0.11496616 0.11497903 0.11497081 12.04277184 1.24355304 0.11329428 0.11328839 0.11330127 0.11329305 12.25221135 1.23300528 0.11164693 0.11164105 0.11165392 0.11164570 12.46165086 1.22248270 0.11000159 0.10999577 0.11000862 0.11000035 12.67109037 1.21223292 0.10841978 0.10841399 0.10842682 0.10841855 12.88052988 1.20235565 0.10692562 0.10691978 0.10693260 0.10692439 13.08996939 1.19271212 0.10548417 0.10547831 0.10549111 0.10548293 13.29940890 1.18317903 0.10406548 0.10405964 0.10407242 0.10406424 13.50884841 1.17382154 0.10268530 0.10267951 0.10269226 0.10268407 13.71828792 1.16470515 0.10135926 0.10135349 0.10136620 0.10135803 13.92772743 1.15560848 0.10003344 0.10002769 0.10004036 0.10003221 14.13716694 1.14656210 0.09871531 0.09870953 0.09872216 0.09871410 14.34660645 1.13779077 0.09745944 0.09745366 0.09746626 0.09745824 14.55604596 1.12922661 0.09624901 0.09624326 0.09625582 0.09624780 14.76548547 1.12076710 0.09505913 0.09505345 0.09506595 0.09505794 14.97492498 1.11239343 0.09388512 0.09387949 0.09389193 0.09388394 15.18436449 1.10414893 0.09273751 0.09273190 0.09274428 0.09273634 15.39380400 1.09606033 0.09162295 0.09161735 0.09162967 0.09162179 15.60324351 1.08809212 0.09053266 0.09052707 0.09053934 0.09053151 15.81268302 1.08017597 0.08944985 0.08944428 0.08945650 0.08944871 16.02212253 1.07243097 0.08840341 0.08839786 0.08841003 0.08840229 16.23156204 1.06488564 0.08740023 0.08739470 0.08740682 0.08739911 16.44100155 1.05748556 0.08642712 0.08642161 0.08643368 0.08642601 16.65044106 1.05015774 0.08546630 0.08546082 0.08547282 0.08546520 16.85988057 1.04285026 0.08450522 0.08449979 0.08451173 0.08450414 17.06932008 1.03565054 0.08356512 0.08355974 0.08357162 0.08356405 17.27875959 1.02859649 0.08265511 0.08264978 0.08266159 0.08265406 17.48819910 1.02167881 0.08177291 0.08176760 0.08177935 0.08177188 17.69763862 1.01488060 0.08091439 0.08090910 0.08092079 0.08091338 17.90707813 1.00818429 0.08007535 0.08007007 0.08008169 0.08007435 18.11651764 1.00154017 0.07924381 0.07923852 0.07925009 0.07924281 18.32595715 0.99498673 0.07842900 0.07842372 0.07843524 0.07842801 18.53539666 0.98859082 0.07764702 0.07764178 0.07765323 0.07764603 18.74483617 0.98225878 0.07687527 0.07687007 0.07688146 0.07687429 18.95427568 0.97595824 0.07610604 0.07610087 0.07611219 0.07610507 19.16371519 0.96975093 0.07535425 0.07534910 0.07536035 0.07535330 19.37315470 0.96361981 0.07461576 0.07461061 0.07462180 0.07461482 19.58259421 0.95752357 0.07388060 0.07387547 0.07388660 0.07387966 19.79203372 0.95151582 0.07316174 0.07315663 0.07316770 0.07316080 20.00147323 0.94559365 0.07245846 0.07245337 0.07246437 0.07245754 20.21091274 0.93973604 0.07176573 0.07176066 0.07177161 0.07176482 20.42035225 0.93396308 0.07108842 0.07108338 0.07109426 0.07108751 20.62979176 0.92829526 0.07043145 0.07042647 0.07043729 0.07043056 20.83923127 0.92271103 0.06978970 0.06978477 0.06979553 0.06978882 21.04867078 0.91722367 0.06916639 0.06916150 0.06917219 0.06916551 21.25811029 0.91183931 0.06856299 0.06855813 0.06856877 0.06856212 21.46754980 0.90649364 0.06796401 0.06795919 0.06796976 0.06796315 21.67698931 0.90114944 0.06736054 0.06735575 0.06736626 0.06735969 21.88642882 0.89583474 0.06675939 0.06675460 0.06676505 0.06675854 22.09586833 0.89059775 0.06617218 0.06616741 0.06617780 0.06617134 22.30530784 0.88544326 0.06560006 0.06559531 0.06560564 0.06559923 22.51474735 0.88031908 0.06503054 0.06502580 0.06503607 0.06502971 22.72418686 0.87520757 0.06445939 0.06445467 0.06446488 0.06445856 22.93362637 0.87019445 0.06390721 0.06390253 0.06391268 0.06390639 23.14306588 0.86534796 0.06339042 0.06338577 0.06339587 0.06338961 23.35250539 0.86059554 0.06289163 0.06288700 0.06289705 0.06289083 23.56194490 0.85586607 0.06239380 0.06238919 0.06239918 0.06239300 23.77138441 0.85116432 0.06189809 0.06189351 0.06190345 0.06189730 23.98082392 0.84650672 0.06140849 0.06140393 0.06141381 0.06140770 24.19026343 0.84189768 0.06092607 0.06092154 0.06093136 0.06092529 24.39970294 0.83733710 0.06045085 0.06044634 0.06045611 0.06045008 24.60914245 0.83282425 0.05998267 0.05997819 0.05998791 0.05998191 24.81858196 0.82835838 0.05952140 0.05951694 0.05952660 0.05952064 25.02802147 0.82393875 0.05906687 0.05906244 0.05907205 0.05906612 25.23746098 0.81956464 0.05861896 0.05861455 0.05862410 0.05861821 25.44690049 0.81523535 0.05817752 0.05817313 0.05818263 0.05817678 25.65634000 0.81095019 0.05774241 0.05773805 0.05774750 0.05774168 25.86577951 0.80670849 0.05731352 0.05730918 0.05731857 0.05731279 26.07521902 0.80250958 0.05689070 0.05688639 0.05689573 0.05688998 26.28465854 0.79835281 0.05647384 0.05646955 0.05647884 0.05647312 26.49409805 0.79423756 0.05606281 0.05605854 0.05606778 0.05606210 26.70353756 0.79016321 0.05565750 0.05565326 0.05566244 0.05565679 26.91297707 0.78612915 0.05525780 0.05525357 0.05526271 0.05525709 27.12241658 0.78213479 0.05486358 0.05485938 0.05486847 0.05486288 27.33185609 0.77817955 0.05447475 0.05447057 0.05447961 0.05447406 27.54129560 0.77426285 0.05409120 0.05408704 0.05409603 0.05409051 27.75073511 0.77038414 0.05371282 0.05370869 0.05371762 0.05371214 27.96017462 0.76654287 0.05333951 0.05333540 0.05334429 0.05333884 28.16961413 0.76273851 0.05297119 0.05296710 0.05297594 0.05297051 28.37905364 0.75897053 0.05260774 0.05260368 0.05261247 0.05260707 28.58849315 0.75523841 0.05224908 0.05224504 0.05225378 0.05224842 28.79793266 0.75154166 0.05189512 0.05189110 0.05189980 0.05189447 29.00737217 0.74787977 0.05154578 0.05154177 0.05155042 0.05154512 29.21681168 0.74425226 0.05120095 0.05119697 0.05120557 0.05120030 29.42625119 0.74065865 0.05086056 0.05085660 0.05086516 0.05085992 29.63569070 0.73709848 0.05052453 0.05052059 0.05052911 0.05052389 29.84513021 0.73357129 0.05019278 0.05018886 0.05019733 0.05019214 30.05456972 0.73007662 0.04986523 0.04986133 0.04986975 0.04986459 30.26400923 0.72661403 0.04954180 0.04953792 0.04954630 0.04954117 30.47344874 0.72318310 0.04922241 0.04921855 0.04922689 0.04922179 30.68288825 0.71978339 0.04890700 0.04890317 0.04891146 0.04890639 30.89232776 0.71641448 0.04859550 0.04859168 0.04859993 0.04859489 31.10176727 0.71307596 0.04828783 0.04828403 0.04829223 0.04828722 31.31120678 0.70976742 0.04798392 0.04798014 0.04798830 0.04798331 31.52064629 0.70648846 0.04768371 0.04767995 0.04768807 0.04768311 31.73008580 0.70323868 0.04738713 0.04738339 0.04739147 0.04738653 31.93952531 0.70001772 0.04709412 0.04709040 0.04709843 0.04709352 32.14896482 0.69682517 0.04680461 0.04680091 0.04680890 0.04680402 32.35840433 0.69366068 0.04651855 0.04651486 0.04652282 0.04651796 32.56784384 0.69052387 0.04623587 0.04623220 0.04624012 0.04623529 32.77728335 0.68741439 0.04595651 0.04595287 0.04596074 0.04595594 32.98672286 0.68433189 0.04568043 0.04567680 0.04568463 0.04567985 33.19616237 0.68127601 0.04540756 0.04540394 0.04541174 0.04540698 33.40560188 0.67824643 0.04513784 0.04513425 0.04514200 0.04513727 33.61504139 0.67524280 0.04487123 0.04486766 0.04487537 0.04487067 33.82448090 0.67226479 0.04460768 0.04460412 0.04461179 0.04460711 34.03392041 0.66931209 0.04434712 0.04434358 0.04435122 0.04434656 34.24335992 0.66638437 0.04408952 0.04408599 0.04409360 0.04408896 34.45279943 0.66348132 0.04383482 0.04383131 0.04383888 0.04383427 34.66223894 0.66060263 0.04358297 0.04357948 0.04358701 0.04358243 34.87167845 0.65774801 0.04333394 0.04333046 0.04333795 0.04333339 35.08111797 0.65491716 0.04308767 0.04308421 0.04309166 0.04308712 35.29055748 0.65210978 0.04284411 0.04284067 0.04284809 0.04284357 35.49999699 0.64932558 0.04260323 0.04259981 0.04260719 0.04260270 35.70943650 0.64656429 0.04236499 0.04236158 0.04236892 0.04236445 35.91887601 0.64382563 0.04212933 0.04212594 0.04213325 0.04212880 36.12831552 0.64110932 0.04189622 0.04189284 0.04190012 0.04189569 36.33775503 0.63841509 0.04166562 0.04166226 0.04166950 0.04166510 36.54719454 0.63574268 0.04143749 0.04143415 0.04144135 0.04143697 36.75663405 0.63309183 0.04121179 0.04120846 0.04121563 0.04121127 36.96607356 0.63046228 0.04098848 0.04098517 0.04099231 0.04098797 37.17551307 0.62785378 0.04076753 0.04076424 0.04077134 0.04076702 37.38495258 0.62526608 0.04054890 0.04054562 0.04055269 0.04054839 37.59439209 0.62269894 0.04033256 0.04032929 0.04033633 0.04033205 37.80383160 0.62015211 0.04011846 0.04011521 0.04012221 0.04011796 38.01327111 0.61762537 0.03990658 0.03990334 0.03991031 0.03990608 38.22271062 0.61511847 0.03969688 0.03969366 0.03970060 0.03969638 38.43215013 0.61263119 0.03948933 0.03948612 0.03949303 0.03948884 38.64158964 0.61016329 0.03928390 0.03928071 0.03928758 0.03928341 38.85102915 0.60771457 0.03908055 0.03907737 0.03908422 0.03908006 39.06046866 0.60528479 0.03887926 0.03887610 0.03888291 0.03887877 39.26990817 0.60287375 0.03867999 0.03867684 0.03868363 0.03867951 39.47934768 0.60048123 0.03848272 0.03847959 0.03848634 0.03848224 39.68878719 0.59810702 0.03828742 0.03828430 0.03829102 0.03828694 39.89822670 0.59575091 0.03809405 0.03809094 0.03809763 0.03809357 40.10766621 0.59341270 0.03790259 0.03789950 0.03790616 0.03790212 40.31710572 0.59109219 0.03771301 0.03770993 0.03771656 0.03771254 40.52654523 0.58878918 0.03752529 0.03752222 0.03752882 0.03752482 40.73598474 0.58650347 0.03733939 0.03733634 0.03734291 0.03733893 40.94542425 0.58423487 0.03715530 0.03715226 0.03715880 0.03715483 41.15486376 0.58198320 0.03697298 0.03696995 0.03697647 0.03697252 41.36430327 0.57974826 0.03679241 0.03678940 0.03679588 0.03679195 41.57374278 0.57752987 0.03661357 0.03661057 0.03661702 0.03661311 41.78318229 0.57532785 0.03643643 0.03643344 0.03643987 0.03643597 41.99262180 0.57314203 0.03626096 0.03625799 0.03626439 0.03626051 42.20206131 0.57097221 0.03608715 0.03608419 0.03609056 0.03608670 42.41150082 0.56881824 0.03591497 0.03591202 0.03591837 0.03591452 42.62094033 0.56667993 0.03574440 0.03574146 0.03574778 0.03574396 42.83037984 0.56455712 0.03557542 0.03557249 0.03557878 0.03557497 43.03981935 0.56244965 0.03540800 0.03540509 0.03541135 0.03540756 43.24925886 0.56035735 0.03524212 0.03523922 0.03524546 0.03524168 43.45869837 0.55828005 0.03507777 0.03507488 0.03508109 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