# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.20943951 3.42184314 0.73147166 0.73168138 0.72950325 0.73341448 0.62831853 2.95058854 0.58136020 0.58147821 0.58037441 0.58232940 1.04719755 2.70040859 0.49470018 0.49479172 0.49428508 0.49505159 1.46607657 2.53437355 0.43582367 0.43587660 0.43560993 0.43597463 1.88495559 2.40340747 0.39103079 0.39107186 0.39091573 0.39110971 2.30383461 2.29194159 0.35502589 0.35505637 0.35495881 0.35507418 2.72271363 2.19447481 0.32533974 0.32535833 0.32529521 0.32537264 3.14159265 2.10606915 0.29989763 0.29990872 0.29986781 0.29992103 3.56047167 2.02759424 0.27839699 0.27840488 0.27837863 0.27841408 3.97935069 1.95615957 0.25968670 0.25968772 0.25967155 0.25969944 4.39822972 1.89053688 0.24319174 0.24319001 0.24318117 0.24320119 4.81710874 1.83089129 0.22875859 0.22875735 0.22875379 0.22876541 5.23598776 1.77557184 0.21582388 0.21582171 0.21582209 0.21582874 5.65486678 1.72496347 0.20439053 0.20438602 0.20438936 0.20439395 6.07374580 1.67835677 0.19417960 0.19417426 0.19417980 0.19418191 6.49262482 1.63437638 0.18479360 0.18478868 0.18479592 0.18479500 6.91150384 1.59317432 0.17623753 0.17623278 0.17624134 0.17623823 7.33038286 1.55457394 0.16842800 0.16842301 0.16843258 0.16842818 7.74926188 1.51855395 0.16134066 0.16133555 0.16134594 0.16134042 8.16814090 1.48492974 0.15489975 0.15489435 0.15490533 0.15489923 8.58701992 1.45262653 0.14882336 0.14881820 0.14882966 0.14882261 9.00589894 1.42205454 0.14320391 0.14319865 0.14321048 0.14320298 9.42477796 1.39333054 0.13806121 0.13805578 0.13806791 0.13806017 9.84365698 1.36619966 0.13332137 0.13331576 0.13332808 0.13332025 10.26253600 1.33973678 0.12874907 0.12874326 0.12875576 0.12874785 10.68141502 1.31506011 0.12461669 0.12461103 0.12462365 0.12461542 11.10029404 1.29122934 0.12068609 0.12068032 0.12069302 0.12068480 11.51917306 1.26832834 0.11697465 0.11696885 0.11698157 0.11697334 11.93805208 1.24667232 0.11355805 0.11355220 0.11356493 0.11355675 12.35693110 1.22569821 0.11029446 0.11028869 0.11030141 0.11029311 12.77581012 1.20557503 0.10722458 0.10721891 0.10723159 0.10722323 13.19468915 1.18616904 0.10431430 0.10430864 0.10432125 0.10431301 13.61356817 1.16715022 0.10148017 0.10147448 0.10148703 0.10147888 14.03244719 1.14879077 0.09878970 0.09878399 0.09879647 0.09878842 14.45132621 1.13150817 0.09634277 0.09633711 0.09634951 0.09634150 14.87020523 1.11506549 0.09408078 0.09407515 0.09408745 0.09407955 15.28908425 1.09869978 0.09181692 0.09181133 0.09182352 0.09181569 15.70796327 1.08268849 0.08961892 0.08961340 0.08962551 0.08961769 16.12684229 1.06724279 0.08753746 0.08753204 0.08754403 0.08753625 16.54572131 1.05234513 0.08556827 0.08556295 0.08557481 0.08556709 16.96460033 1.03777673 0.08365831 0.08365301 0.08366474 0.08365716 17.38347935 1.02339073 0.08177181 0.08176656 0.08177817 0.08177065 17.80235837 1.00966902 0.08002561 0.08002044 0.08003195 0.08002448 18.22123739 0.99620323 0.07832044 0.07831536 0.07832674 0.07831935 18.64011641 0.98344304 0.07676502 0.07675995 0.07677122 0.07676398 19.05899543 0.97107760 0.07528426 0.07527922 0.07529036 0.07528321 19.47787445 0.95903728 0.07386156 0.07385657 0.07386759 0.07386053 19.89675347 0.94734192 0.07250176 0.07249681 0.07250772 0.07250075 20.31563249 0.93593706 0.07119180 0.07118691 0.07119769 0.07119081 20.73451151 0.92479783 0.06992586 0.06992101 0.06993168 0.06992488 21.15339053 0.91391467 0.06870180 0.06869701 0.06870756 0.06870084 21.57226955 0.90327875 0.06751771 0.06751297 0.06752340 0.06751676 21.99114858 0.89288168 0.06637176 0.06636707 0.06637739 0.06637084 22.41002760 0.88271535 0.06526223 0.06525759 0.06526779 0.06526132 22.82890662 0.87277201 0.06418747 0.06418288 0.06419296 0.06418657 23.24778564 0.86304429 0.06314593 0.06314139 0.06315136 0.06314505 23.66666466 0.85352513 0.06213616 0.06213166 0.06214153 0.06213529 24.08554368 0.84420784 0.06115678 0.06115233 0.06116208 0.06115592 24.50442270 0.83508599 0.06020648 0.06020208 0.06021173 0.06020564 24.92330172 0.82615348 0.05928405 0.05927970 0.05928924 0.05928322 25.34218074 0.81740444 0.05838833 0.05838403 0.05839345 0.05838751 25.76105976 0.80883328 0.05751821 0.05751395 0.05752328 0.05751741 26.17993878 0.80043463 0.05667267 0.05666845 0.05667767 0.05667187 26.59881780 0.79220335 0.05585070 0.05584653 0.05585565 0.05584992 27.01769682 0.78413452 0.05505139 0.05504726 0.05505628 0.05505062 27.43657584 0.77622341 0.05427384 0.05426976 0.05427868 0.05427308 27.85545486 0.76846549 0.05351722 0.05351318 0.05352200 0.05351647 28.27433388 0.76085637 0.05278072 0.05277672 0.05278545 0.05277998 28.69321290 0.75339183 0.05206357 0.05205962 0.05206825 0.05206285 29.11209192 0.74606779 0.05136504 0.05136113 0.05136967 0.05136433 29.53097094 0.73888033 0.05068444 0.05068057 0.05068902 0.05068373 29.94984996 0.73182567 0.05002109 0.05001726 0.05002562 0.05002040 30.36872898 0.72490020 0.04937437 0.04937058 0.04937886 0.04937369 30.78760801 0.71810041 0.04874368 0.04873993 0.04874811 0.04874300 31.20648703 0.71142293 0.04812844 0.04812472 0.04813282 0.04812777 31.62536605 0.70486454 0.04752810 0.04752443 0.04753244 0.04752744 32.04424507 0.69842208 0.04694215 0.04693851 0.04694644 0.04694150 32.46312409 0.69209256 0.04637008 0.04636648 0.04637433 0.04636944 32.88200311 0.68587306 0.04581143 0.04580786 0.04581563 0.04581079 33.30088213 0.67976076 0.04526573 0.04526220 0.04526989 0.04526510 33.71976115 0.67375296 0.04473256 0.04472906 0.04473668 0.04473194 34.13864017 0.66784704 0.04421149 0.04420803 0.04421557 0.04421088 34.55751919 0.66204045 0.04370214 0.04369871 0.04370618 0.04370154 34.97639821 0.65633075 0.04320412 0.04320072 0.04320812 0.04320352 35.39527723 0.65071557 0.04271707 0.04271371 0.04272103 0.04271648 35.81415625 0.64519262 0.04224064 0.04223731 0.04224456 0.04224006 36.23303527 0.63975968 0.04177449 0.04177119 0.04177838 0.04177392 36.65191429 0.63441459 0.04131831 0.04131504 0.04132216 0.04131774 37.07079331 0.62915526 0.04087179 0.04086855 0.04087559 0.04087122 37.48967233 0.62397967 0.04043462 0.04043140 0.04043839 0.04043406 37.90855135 0.61888585 0.04000651 0.04000333 0.04001025 0.04000596 38.32743037 0.61387188 0.03958721 0.03958405 0.03959091 0.03958666 38.74630939 0.60893594 0.03917643 0.03917331 0.03918010 0.03917589 39.16518841 0.60407622 0.03877393 0.03877083 0.03877756 0.03877340 39.58406744 0.59929099 0.03837946 0.03837640 0.03838306 0.03837894 40.00294646 0.59457857 0.03799280 0.03798976 0.03799636 0.03799227 40.42182548 0.58993733 0.03761370 0.03761069 0.03761724 0.03761319 40.84070450 0.58536568 0.03724197 0.03723898 0.03724547 0.03724145 41.25958352 0.58086208 0.03687738 0.03687441 0.03688085 0.03687687 41.67846254 0.57642505 0.03651974 0.03651680 0.03652318 0.03651923 42.09734156 0.57205312 0.03616885 0.03616594 0.03617226 0.03616835 42.51622058 0.56774491 0.03582453 0.03582164 0.03582791 0.03582403 42.93509960 0.56349903 0.03548659 0.03548373 0.03548995 0.03548610 43.35397862 0.55931415 0.03515487 0.03515204 0.03515820 0.03515439 43.77285764 0.55518900 0.03482920 0.03482639 0.03483250 0.03482872 44.19173666 0.55112231 0.03450942 0.03450663 0.03451269 0.03450894 44.61061568 0.54711286 0.03419536 0.03419259 0.03419860 0.03419489 45.02949470 0.54315946 0.03388689 0.03388414 0.03389010 0.03388642 45.44837372 0.53926096 0.03358385 0.03358113 0.03358704 0.03358339 45.86725274 0.53541624 0.03328611 0.03328341 0.03328927 0.03328565 46.28613176 0.53162421 0.03299353 0.03299085 0.03299666 0.03299308 46.70501078 0.52788380 0.03270598 0.03270332 0.03270909 0.03270553 47.12388980 0.52419397 0.03242333 0.03242069 0.03242642 0.03242288 47.54276882 0.52055372 0.03214546 0.03214285 0.03214852 0.03214502 47.96164784 0.51696206 0.03187226 0.03186966 0.03187529 0.03187182 48.38052687 0.51341803 0.03160360 0.03160102 0.03160661 0.03160317 48.79940589 0.50992070 0.03133938 0.03133682 0.03134237 0.03133895 49.21828491 0.50646916 0.03107948 0.03107695 0.03108245 0.03107906 49.63716393 0.50306253 0.03082381 0.03082129 0.03082676 0.03082339 50.05604295 0.49969993 0.03057226 0.03056976 0.03057518 0.03057184 50.47492197 0.49638053 0.03032474 0.03032226 0.03032764 0.03032432 50.89380099 0.49310351 0.03008114 0.03007868 0.03008402 0.03008073 51.31268001 0.48986806 0.02984139 0.02983894 0.02984424 0.02984098 51.73155903 0.48667340 0.02960538 0.02960295 0.02960821 0.02960497 52.15043805 0.48351879 0.02937303 0.02937062 0.02937584 0.02937263 52.56931707 0.48040346 0.02914426 0.02914187 0.02914705 0.02914386 52.98819609 0.47732671 0.02891899 0.02891661 0.02892176 0.02891859 53.40707511 0.47428782 0.02869713 0.02869478 0.02869988 0.02869674 53.82595413 0.47128611 0.02847862 0.02847628 0.02848135 0.02847823 54.24483315 0.46832090 0.02826338 0.02826105 0.02826609 0.02826299 54.66371217 0.46539153 0.02805133 0.02804902 0.02805402 0.02805094 55.08259119 0.46249738 0.02784240 0.02784011 0.02784508 0.02784202 55.50147021 0.45963780 0.02763654 0.02763426 0.02763919 0.02763616 55.92034923 0.45681220 0.02743366 0.02743140 0.02743630 0.02743329 56.33922825 0.45401997 0.02723372 0.02723147 0.02723634 0.02723335 56.75810727 0.45126053 0.02703664 0.02703441 0.02703924 0.02703627 57.17698630 0.44853332 0.02684236 0.02684015 0.02684495 0.02684200 57.59586532 0.44583778 0.02665083 0.02664863 0.02665340 0.02665047 58.01474434 0.44317336 0.02646199 0.02645981 0.02646454 0.02646163 58.43362336 0.44053954 0.02627579 0.02627362 0.02627832 0.02627543 58.85250238 0.43793579 0.02609216 0.02609000 0.02609467 0.02609180 59.27138140 0.43536162 0.02591106 0.02590892 0.02591356 0.02591070 59.69026042 0.43281651 0.02573243 0.02573030 0.02573491 0.02573208 60.10913944 0.43030000 0.02555623 0.02555412 0.02555870 0.02555588 60.52801846 0.42781160 0.02538241 0.02538031 0.02538486 0.02538206 60.94689748 0.42535085 0.02521091 0.02520883 0.02521335 0.02521057 61.36577650 0.42291730 0.02504170 0.02503963 0.02504412 0.02504136 61.78465552 0.42051051 0.02487473 0.02487267 0.02487713 0.02487439 62.20353454 0.41813003 0.02470996 0.02470791 0.02471234 0.02470962 62.62241356 0.41577545 0.02454733 0.02454530 0.02454970 0.02454699 63.04129258 0.41344635 0.02438682 0.02438479 0.02438917 0.02438648 63.46017160 0.41114232 0.02422837 0.02422636 0.02423071 0.02422804 63.87905062 0.40886296 0.02407196 0.02406996 0.02407428 0.02407163 64.29792964 0.40660788 0.02391753 0.02391555 0.02391985 0.02391721 64.71680866 0.40437671 0.02376507 0.02376309 0.02376736 0.02376474 65.13568768 0.40216906 0.02361451 0.02361255 0.02361680 0.02361419 65.55456670 0.39998457 0.02346585 0.02346390 0.02346812 0.02346552 65.97344573 0.39782288 0.02331902 0.02331708 0.02332128 0.02331870 66.39232475 0.39568364 0.02317401 0.02317209 0.02317626 0.02317370 66.81120377 0.39356651 0.02303078 0.02302887 0.02303301 0.02303047 67.23008279 0.39147115 0.02288930 0.02288740 0.02289152 0.02288899 67.64896181 0.38939723 0.02274953 0.02274764 0.02275174 0.02274922 68.06784083 0.38734442 0.02261145 0.02260957 0.02261364 0.02261114 68.48671985 0.38531241 0.02247503 0.02247316 0.02247721 0.02247472 68.90559887 0.38330089 0.02234023 0.02233836 0.02234239 0.02233992 69.32447789 0.38130956 0.02220702 0.02220517 0.02220917 0.02220672 69.74335691 0.37933811 0.02207539 0.02207355 0.02207753 0.02207508 70.16223593 0.37738625 0.02194529 0.02194346 0.02194742 0.02194499 70.58111495 0.37545369 0.02181671 0.02181489 0.02181883 0.02181641 70.99999397 0.37354017 0.02168962 0.02168781 0.02169172 0.02168932 71.41887299 0.37164539 0.02156399 0.02156219 0.02156608 0.02156370 71.83775201 0.36976908 0.02143980 0.02143801 0.02144188 0.02143951 72.25663103 0.36791100 0.02131702 0.02131525 0.02131909 0.02131673 72.67551005 0.36607086 0.02119564 0.02119387 0.02119770 0.02119535 73.09438907 0.36424842 0.02107562 0.02107386 0.02107766 0.02107533 73.51326809 0.36244343 0.02095694 0.02095519 0.02095897 0.02095665 73.93214711 0.36065563 0.02083958 0.02083784 0.02084161 0.02083930 74.35102613 0.35888480 0.02072353 0.02072180 0.02072554 0.02072324 74.76990516 0.35713069 0.02060875 0.02060703 0.02061075 0.02060847 75.18878418 0.35539307 0.02049523 0.02049352 0.02049722 0.02049495 75.60766320 0.35367172 0.02038294 0.02038124 0.02038493 0.02038267 76.02654222 0.35196640 0.02027188 0.02027018 0.02027385 0.02027160 76.44542124 0.35027690 0.02016201 0.02016032 0.02016397 0.02016173 76.86430026 0.34860301 0.02005332 0.02005164 0.02005527 0.02005304 77.28317928 0.34694451 0.01994579 0.01994412 0.01994773 0.01994551 77.70205830 0.34530119 0.01983940 0.01983774 0.01984133 0.01983912 78.12093732 0.34367285 0.01973413 0.01973248 0.01973605 0.01973386 78.53981634 0.34205929 0.01962997 0.01962832 0.01963188 0.01962970 78.95869536 0.34046031 0.01952689 0.01952526 0.01952879 0.01952663 79.37757438 0.33887571 0.01942489 0.01942327 0.01942678 0.01942463 79.79645340 0.33730532 0.01932395 0.01932233 0.01932583 0.01932368 80.21533242 0.33574894 0.01922404 0.01922243 0.01922591 0.01922378 80.63421144 0.33420638 0.01912515 0.01912355 0.01912702 0.01912489 81.05309046 0.33267747 0.01902728 0.01902568 0.01902913 0.01902702 81.47196948 0.33116203 0.01893039 0.01892881 0.01893224 0.01893013 81.89084850 0.32965988 0.01883448 0.01883291 0.01883632 0.01883423 82.30972752 0.32817086 0.01873954 0.01873797 0.01874136 0.01873928 82.72860654 0.32669479 0.01864554 0.01864398 0.01864736 0.01864529 83.14748557 0.32523151 0.01855248 0.01855092 0.01855429 0.01855222 83.56636459 0.32378085 0.01846033 0.01845879 0.01846213 0.01846008 83.98524361 0.32234267 0.01836910 0.01836756 0.01837089 0.01836885 84.40412263 0.32091679 0.01827876 0.01827722 0.01828054 0.01827851 84.82300165 0.31950306 0.01818929 0.01818777 0.01819107 0.01818905 85.24188067 0.31810134 0.01810070 0.01809918 0.01810246 0.01810045 85.66075969 0.31671147 0.01801296 0.01801145 0.01801472 0.01801271 86.07963871 0.31533330 0.01792606 0.01792456 0.01792781 0.01792582 86.49851773 0.31396670 0.01784000 0.01783850 0.01784174 0.01783975 86.91739675 0.31261151 0.01775475 0.01775326 0.01775648 0.01775451 87.33627577 0.31126760 0.01767031 0.01766883 0.01767204 0.01767007 87.75515479 0.30993483 0.01758667 0.01758519 0.01758838 0.01758643 88.17403381 0.30861307 0.01750381 0.01750234 0.01750552 0.01750357 88.59291283 0.30730217 0.01742173 0.01742026 0.01742343 0.01742149 89.01179185 0.30600202 0.01734040 0.01733895 0.01734210 0.01734017 89.43067087 0.30471248 0.01725984 0.01725839 0.01726152 0.01725960 89.84954989 0.30343342 0.01718001 0.01717857 0.01718169 0.01717978 90.26842891 0.30216472 0.01710092 0.01709948 0.01710258 0.01710068 90.68730793 0.30090625 0.01702254 0.01702111 0.01702421 0.01702231 91.10618695 0.29965790 0.01694488 0.01694346 0.01694654 0.01694465 91.52506597 0.29841954 0.01686793 0.01686651 0.01686957 0.01686770 91.94394500 0.29719107 0.01679166 0.01679025 0.01679330 0.01679143 92.36282402 0.29597235 0.01671608 0.01671468 0.01671771 0.01671585 92.78170304 0.29476328 0.01664118 0.01663978 0.01664280 0.01664095 93.20058206 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