# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.10471976 3.62731059 0.79549427 0.79610555 0.79439482 0.79594117 0.31415927 3.34465014 0.70162227 0.70166008 0.69958786 0.70357950 0.52359878 3.07095263 0.61823363 0.61828901 0.61686409 0.61953254 0.73303829 2.89174469 0.55990582 0.55997031 0.55902983 0.56068108 0.94247780 2.76336709 0.51589534 0.51598140 0.51534565 0.51636162 1.15191731 2.66305333 0.48058552 0.48066242 0.48021644 0.48087645 1.36135682 2.57907940 0.45093910 0.45100349 0.45067990 0.45112946 1.57079633 2.50581287 0.42539540 0.42544395 0.42520183 0.42552670 1.78023584 2.43984672 0.40290095 0.40294225 0.40275700 0.40299572 1.98967535 2.37925341 0.38279468 0.38282627 0.38268206 0.38286612 2.19911486 2.32324658 0.36473192 0.36475523 0.36464122 0.36478796 2.40855437 2.27089389 0.34834076 0.34836262 0.34827154 0.34838581 2.61799388 2.22183884 0.33341925 0.33343463 0.33336142 0.33345640 2.82743339 2.17538062 0.31968514 0.31969838 0.31963933 0.31971617 3.03687290 2.13131526 0.30700217 0.30701252 0.30696489 0.30702837 3.24631241 2.08965478 0.29531911 0.29532742 0.29528908 0.29534132 3.45575192 2.04998467 0.28445486 0.28446117 0.28443044 0.28447386 3.66519143 2.01222360 0.27435273 0.27435726 0.27433287 0.27436902 3.87463094 1.97617739 0.26491377 0.26491731 0.26489817 0.26492773 4.08407045 1.94203556 0.25616228 0.25616520 0.25615050 0.25617426 4.29350996 1.90942121 0.24796894 0.24796994 0.24795900 0.24797921 4.50294947 1.87818217 0.24026469 0.24026486 0.24025709 0.24027346 4.71238898 1.84826497 0.23302634 0.23302524 0.23302020 0.23303382 4.92182849 1.81957257 0.22620720 0.22620513 0.22620243 0.22621358 5.13126800 1.79209506 0.21978103 0.21977783 0.21977710 0.21978645 5.34070751 1.76568198 0.21370850 0.21370483 0.21370584 0.21371306 5.55014702 1.74009300 0.20791346 0.20790912 0.20791164 0.20791730 5.75958653 1.71563649 0.20246536 0.20246056 0.20246440 0.20246855 5.96902604 1.69229493 0.19734855 0.19734381 0.19734878 0.19735116 6.17846555 1.66947336 0.19240502 0.19240031 0.19240627 0.19240710 6.38790506 1.64746151 0.18770652 0.18770174 0.18770857 0.18770816 6.59734457 1.62635137 0.18327116 0.18326640 0.18327400 0.18327239 6.80678408 1.60584993 0.17901807 0.17901329 0.17902156 0.17901897 7.01622359 1.58591563 0.17493135 0.17492620 0.17493507 0.17493196 7.22566310 1.56674905 0.17105879 0.17105371 0.17106310 0.17105913 7.43510261 1.54810674 0.16733653 0.16733136 0.16734120 0.16733665 7.64454212 1.52980972 0.16371768 0.16371241 0.16372268 0.16371759 7.85398163 1.51241391 0.16034052 0.16033528 0.16034591 0.16034026 8.06342114 1.49544408 0.15707897 0.15707369 0.15708463 0.15707857 8.27286065 1.47878685 0.15390554 0.15390017 0.15391139 0.15390502 8.48230016 1.46276888 0.15090038 0.15089483 0.15090630 0.15089976 8.69173967 1.44739284 0.14806119 0.14805546 0.14806714 0.14806046 8.90117919 1.43225974 0.14528860 0.14528292 0.14529481 0.14528777 9.11061870 1.41744525 0.14259959 0.14259397 0.14260603 0.14259868 9.32005821 1.40309466 0.14002960 0.14002399 0.14003620 0.14002862 9.52949772 1.38888502 0.13749683 0.13749126 0.13750360 0.13749581 9.73893723 1.37517717 0.13508963 0.13508407 0.13509651 0.13508858 9.94837674 1.36192898 0.13279792 0.13279233 0.13280486 0.13279684 10.15781625 1.34897205 0.13057794 0.13057229 0.13058490 0.13057683 10.36725576 1.33623294 0.12841150 0.12840571 0.12841839 0.12841035 10.57669527 1.32380834 0.12632260 0.12631676 0.12632950 0.12632142 10.78613478 1.31175794 0.12432421 0.12431842 0.12433120 0.12432301 10.99557429 1.29973642 0.12233055 0.12232478 0.12233759 0.12232932 11.20501380 1.28796888 0.12039773 0.12039196 0.12040481 0.12039649 11.41445331 1.27635370 0.11850052 0.11849481 0.11850769 0.11849927 11.62389282 1.26517442 0.11670819 0.11670254 0.11671544 0.11670692 11.83333233 1.25434171 0.11499814 0.11499247 0.11500538 0.11499687 12.04277184 1.24359422 0.11330535 0.11329964 0.11331253 0.11330409 12.25221135 1.23300464 0.11164741 0.11164167 0.11165454 0.11164616 12.46165086 1.22270330 0.11005666 0.11005091 0.11006377 0.11005542 12.67109037 1.21257961 0.10850582 0.10850008 0.10851293 0.10850459 12.88052988 1.20274587 0.10702210 0.10701634 0.10702918 0.10702086 13.08996939 1.19302377 0.10556147 0.10555571 0.10556853 0.10556023 13.29940890 1.18339526 0.10411923 0.10411349 0.10412628 0.10411799 13.50884841 1.17393750 0.10271426 0.10270855 0.10272130 0.10271303 13.71828792 1.16469964 0.10135868 0.10135300 0.10136571 0.10135746 13.92772743 1.15560603 0.10003368 0.10002801 0.10004068 0.10003248 14.13716694 1.14669643 0.09874873 0.09874303 0.09875567 0.09874753 14.34660645 1.13798834 0.09750818 0.09750247 0.09751507 0.09750698 14.55604596 1.12940413 0.09629295 0.09628725 0.09629980 0.09629175 14.76548547 1.12092350 0.09509785 0.09509215 0.09510466 0.09509666 14.97492498 1.11264388 0.09394673 0.09394105 0.09395350 0.09394556 15.18436449 1.10441365 0.09280257 0.09279694 0.09280933 0.09280142 15.39380400 1.09624329 0.09166795 0.09166236 0.09167469 0.09166682 15.60324351 1.08829570 0.09058248 0.09057691 0.09058919 0.09058137 15.81268302 1.08056636 0.08954494 0.08953937 0.08955159 0.08954384 16.02212253 1.07294528 0.08852859 0.08852301 0.08853518 0.08852749 16.23156204 1.06541231 0.08752846 0.08752290 0.08753502 0.08752737 16.44100155 1.05795602 0.08654160 0.08653606 0.08654812 0.08654052 16.65044106 1.05046856 0.08554188 0.08553636 0.08554836 0.08554081 16.85988057 1.04305311 0.08455452 0.08454903 0.08456097 0.08455345 17.06932008 1.03590635 0.08362723 0.08362179 0.08363367 0.08362617 17.27875959 1.02892886 0.08273580 0.08273040 0.08274223 0.08273475 17.48819910 1.02203879 0.08186024 0.08185490 0.08186666 0.08185921 17.69763862 1.01515835 0.08098173 0.08097643 0.08098812 0.08098072 17.90707813 1.00826066 0.08009389 0.08008861 0.08010024 0.08009288 18.11651764 1.00150840 0.07923612 0.07923086 0.07924244 0.07923511 18.32595715 0.99502482 0.07843815 0.07843293 0.07844444 0.07843715 18.53539666 0.98869634 0.07767247 0.07766728 0.07767873 0.07767149 18.74483617 0.98235258 0.07689791 0.07689273 0.07690412 0.07689693 18.95427568 0.97600011 0.07611607 0.07611092 0.07612224 0.07611510 19.16371519 0.96972133 0.07534693 0.07534180 0.07535307 0.07534598 19.37315470 0.96358833 0.07460794 0.07460284 0.07461404 0.07460700 19.58259421 0.95752904 0.07388168 0.07387662 0.07388775 0.07388074 19.79203372 0.95149434 0.07315630 0.07315128 0.07316234 0.07315538 20.00147323 0.94558087 0.07245516 0.07245016 0.07246116 0.07245424 20.21091274 0.93979072 0.07177870 0.07177373 0.07178467 0.07177780 20.42035225 0.93403285 0.07110500 0.07110004 0.07111093 0.07110411 20.62979176 0.92832039 0.07043729 0.07043235 0.07044317 0.07043640 20.83923127 0.92273154 0.06979444 0.06978952 0.06980028 0.06979355 21.04867078 0.91725524 0.06917377 0.06916888 0.06917958 0.06917288 21.25811029 0.91178983 0.06855084 0.06854597 0.06855661 0.06854996 21.46754980 0.90634863 0.06792888 0.06792404 0.06793462 0.06792801 21.67698931 0.90100072 0.06732453 0.06731971 0.06733023 0.06732367 21.88642882 0.89571778 0.06673100 0.06672622 0.06673667 0.06673015 22.09586833 0.89049354 0.06614683 0.06614207 0.06615247 0.06614599 22.30530784 0.88536260 0.06558037 0.06557564 0.06558597 0.06557954 22.51474735 0.88030072 0.06502581 0.06502110 0.06503138 0.06502499 22.72418686 0.87529341 0.06447968 0.06447499 0.06448521 0.06447886 22.93362637 0.87034996 0.06394422 0.06393955 0.06394971 0.06394340 23.14306588 0.86546579 0.06341839 0.06341374 0.06342385 0.06341758 23.35250539 0.86064077 0.06290217 0.06289756 0.06290761 0.06290137 23.56194490 0.85587592 0.06239584 0.06239125 0.06240125 0.06239505 23.77138441 0.85116625 0.06189823 0.06189367 0.06190361 0.06189744 23.98082392 0.84650768 0.06140838 0.06140385 0.06141373 0.06140760 24.19026343 0.84189851 0.06092593 0.06092142 0.06093124 0.06092516 24.39970294 0.83733786 0.06045068 0.06044620 0.06045597 0.06044991 24.60914245 0.83282495 0.05998249 0.05997802 0.05998774 0.05998172 24.81858196 0.82835903 0.05952119 0.05951675 0.05952641 0.05952043 25.02802147 0.82393935 0.05906665 0.05906223 0.05907184 0.05906590 25.23746098 0.81956520 0.05861872 0.05861432 0.05862388 0.05861797 25.44690049 0.81523586 0.05817726 0.05817289 0.05818239 0.05817652 25.65634000 0.81095066 0.05774214 0.05773779 0.05774724 0.05774140 25.86577951 0.80670892 0.05731323 0.05730890 0.05731830 0.05731250 26.07521902 0.80250997 0.05689039 0.05688609 0.05689544 0.05688967 26.28465854 0.79835318 0.05647352 0.05646924 0.05647853 0.05647280 26.49409805 0.79423791 0.05606248 0.05605822 0.05606746 0.05606177 26.70353756 0.79016353 0.05565716 0.05565292 0.05566211 0.05565645 26.91297707 0.78612945 0.05525744 0.05525323 0.05526237 0.05525674 27.12241658 0.78213507 0.05486321 0.05485903 0.05486811 0.05486252 27.33185609 0.77817980 0.05447437 0.05447021 0.05447924 0.05447368 27.54129560 0.77426309 0.05409081 0.05408667 0.05409565 0.05409012 27.75073511 0.77038436 0.05371242 0.05370830 0.05371724 0.05371174 27.96017462 0.76654308 0.05333911 0.05333501 0.05334390 0.05333843 28.16961413 0.76273871 0.05297077 0.05296670 0.05297554 0.05297010 28.37905364 0.75897072 0.05260732 0.05260326 0.05261206 0.05260665 28.58849315 0.75523860 0.05224866 0.05224462 0.05225337 0.05224799 28.79793266 0.75154184 0.05189469 0.05189068 0.05189938 0.05189403 29.00737217 0.74787994 0.05154534 0.05154134 0.05154999 0.05154468 29.21681168 0.74425243 0.05120050 0.05119653 0.05120514 0.05119986 29.42625119 0.74065881 0.05086011 0.05085616 0.05086472 0.05085947 29.63569070 0.73709864 0.05052408 0.05052014 0.05052866 0.05052344 29.84513021 0.73357144 0.05019232 0.05018841 0.05019688 0.05019168 30.05456972 0.73007678 0.04986476 0.04986087 0.04986929 0.04986413 30.26400923 0.72661419 0.04954133 0.04953745 0.04954583 0.04954070 30.47344874 0.72318326 0.04922194 0.04921809 0.04922642 0.04922132 30.68288825 0.71978355 0.04890653 0.04890270 0.04891099 0.04890591 30.89232776 0.71641464 0.04859502 0.04859121 0.04859946 0.04859441 31.10176727 0.71307613 0.04828734 0.04828355 0.04829176 0.04828673 31.31120678 0.70976759 0.04798343 0.04797966 0.04798782 0.04798283 31.52064629 0.70648863 0.04768322 0.04767947 0.04768759 0.04768262 31.73008580 0.70323887 0.04738664 0.04738290 0.04739098 0.04738604 31.93952531 0.70001790 0.04709363 0.04708991 0.04709795 0.04709303 32.14896482 0.69682536 0.04680412 0.04680042 0.04680841 0.04680353 32.35840433 0.69366087 0.04651805 0.04651437 0.04652233 0.04651747 32.56784384 0.69052407 0.04623537 0.04623171 0.04623962 0.04623479 32.77728335 0.68741460 0.04595602 0.04595237 0.04596025 0.04595544 32.98672286 0.68433211 0.04567993 0.04567630 0.04568414 0.04567935 33.19616237 0.68127624 0.04540705 0.04540345 0.04541124 0.04540648 33.40560188 0.67824666 0.04513734 0.04513375 0.04514151 0.04513677 33.61504139 0.67524304 0.04487073 0.04486716 0.04487487 0.04487016 33.82448090 0.67226504 0.04460717 0.04460362 0.04461130 0.04460661 34.03392041 0.66931234 0.04434662 0.04434308 0.04435072 0.04434606 34.24335992 0.66638463 0.04408901 0.04408549 0.04409309 0.04408846 34.45279943 0.66348159 0.04383431 0.04383081 0.04383837 0.04383376 34.66223894 0.66060292 0.04358247 0.04357898 0.04358651 0.04358192 34.87167845 0.65774830 0.04333343 0.04332996 0.04333745 0.04333289 35.08111797 0.65491746 0.04308716 0.04308371 0.04309116 0.04308662 35.29055748 0.65211008 0.04284360 0.04284017 0.04284759 0.04284307 35.49999699 0.64932590 0.04260273 0.04259930 0.04260669 0.04260219 35.70943650 0.64656462 0.04236448 0.04236107 0.04236842 0.04236395 35.91887601 0.64382596 0.04212882 0.04212543 0.04213274 0.04212829 36.12831552 0.64110966 0.04189571 0.04189234 0.04189962 0.04189519 36.33775503 0.63841544 0.04166511 0.04166176 0.04166900 0.04166459 36.54719454 0.63574304 0.04143698 0.04143364 0.04144085 0.04143646 36.75663405 0.63309219 0.04121128 0.04120796 0.04121513 0.04121077 36.96607356 0.63046265 0.04098798 0.04098467 0.04099181 0.04098746 37.17551307 0.62785416 0.04076703 0.04076373 0.04077084 0.04076652 37.38495258 0.62526647 0.04054840 0.04054512 0.04055219 0.04054789 37.59439209 0.62269934 0.04033205 0.04032879 0.04033583 0.04033155 37.80383160 0.62015252 0.04011796 0.04011471 0.04012171 0.04011745 38.01327111 0.61762579 0.03990608 0.03990284 0.03990982 0.03990558 38.22271062 0.61511889 0.03969638 0.03969316 0.03970010 0.03969588 38.43215013 0.61263162 0.03948883 0.03948563 0.03949253 0.03948834 38.64158964 0.61016374 0.03928340 0.03928021 0.03928709 0.03928291 38.85102915 0.60771502 0.03908005 0.03907688 0.03908372 0.03907957 39.06046866 0.60528525 0.03887876 0.03887560 0.03888242 0.03887828 39.26990817 0.60287422 0.03867950 0.03867635 0.03868313 0.03867901 39.47934768 0.60048170 0.03848223 0.03847909 0.03848585 0.03848175 39.68878719 0.59810750 0.03828692 0.03828380 0.03829053 0.03828645 39.89822670 0.59575140 0.03809356 0.03809045 0.03809714 0.03809308 40.10766621 0.59341320 0.03790210 0.03789901 0.03790567 0.03790162 40.31710572 0.59109269 0.03771252 0.03770944 0.03771608 0.03771205 40.52654523 0.58878969 0.03752480 0.03752173 0.03752834 0.03752433 40.73598474 0.58650399 0.03733890 0.03733585 0.03734243 0.03733844 40.94542425 0.58423540 0.03715481 0.03715177 0.03715832 0.03715435 41.15486376 0.58198373 0.03697249 0.03696947 0.03697598 0.03697203 41.36430327 0.57974880 0.03679193 0.03678891 0.03679540 0.03679147 41.57374278 0.57753042 0.03661308 0.03661008 0.03661654 0.03661263 41.78318229 0.57532841 0.03643594 0.03643296 0.03643939 0.03643549 41.99262180 0.57314259 0.03626048 0.03625751 0.03626391 0.03626003 42.20206131 0.57097278 0.03608667 0.03608371 0.03609009 0.03608622 42.41150082 0.56881881 0.03591449 0.03591155 0.03591789 0.03591405 42.62094033 0.56668051 0.03574392 0.03574099 0.03574731 0.03574348 42.83037984 0.56455771 0.03557494 0.03557202 0.03557831 0.03557450 43.03981935 0.56245024 0.03540752 0.03540461 0.03541088 0.03540708 43.24925886 0.56035795 0.03524165 0.03523875 0.03524499 0.03524121 43.45869837 0.55828066 0.03507730 0.03507441 0.03508062 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