# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.20943951 3.42534558 0.73235265 0.73246517 0.73028668 0.73428942 0.62831853 2.95336252 0.58202375 0.58207937 0.58097609 0.58299444 1.04719755 2.70221411 0.49513792 0.49521918 0.49471196 0.49549097 1.46607657 2.53531586 0.43605861 0.43610343 0.43583657 0.43621050 1.88495559 2.40367576 0.39109340 0.39112405 0.39096784 0.39117288 2.30383461 2.29227380 0.35510810 0.35513229 0.35503479 0.35515698 2.72271363 2.19438322 0.32530802 0.32532460 0.32526177 0.32534093 3.14159265 2.10667622 0.30005072 0.30005989 0.30001896 0.30007431 3.56047167 2.02782953 0.27845982 0.27846567 0.27843946 0.27847698 3.97935069 1.95634665 0.25974545 0.25974416 0.25972812 0.25975823 4.39822972 1.89131051 0.24340670 0.24340565 0.24339687 0.24341606 4.81710874 1.83117164 0.22884497 0.22884114 0.22883766 0.22885182 5.23598776 1.77583217 0.21590471 0.21590043 0.21590090 0.21590964 5.65486678 1.72515550 0.20444124 0.20443715 0.20444044 0.20444472 6.07374580 1.67789738 0.19406178 0.19405820 0.19406370 0.19406407 6.49262482 1.63436268 0.18479816 0.18479354 0.18480073 0.18479961 6.91150384 1.59323684 0.17626115 0.17625622 0.17626472 0.17626194 7.33038286 1.55490511 0.16852179 0.16851659 0.16852613 0.16852206 7.74926188 1.51908757 0.16147929 0.16147361 0.16148392 0.16147914 8.16814090 1.48482074 0.15487843 0.15487291 0.15488387 0.15487799 8.58701992 1.45240536 0.14877428 0.14876863 0.14878007 0.14877362 9.00589894 1.42244869 0.14330989 0.14330399 0.14331582 0.14330904 9.42477796 1.39358519 0.13813041 0.13812449 0.13813659 0.13812941 9.84365698 1.36607208 0.13329459 0.13328891 0.13330125 0.13329346 10.26253600 1.33975537 0.12875928 0.12875333 0.12876584 0.12875812 10.68141502 1.31528455 0.12467663 0.12467094 0.12468355 0.12467540 11.10029404 1.29127183 0.12069971 0.12069390 0.12070656 0.12069846 11.51917306 1.26826232 0.11696208 0.11695633 0.11696905 0.11696082 11.93805208 1.24627272 0.11346352 0.11345770 0.11347042 0.11346228 12.35693110 1.22550786 0.11025203 0.11024617 0.11025888 0.11025076 12.77581012 1.20545866 0.10720085 0.10719507 0.10720775 0.10719956 13.19468915 1.18616758 0.10431874 0.10431313 0.10432578 0.10431746 13.61356817 1.16762511 0.10160108 0.10159545 0.10160803 0.10159983 14.03244719 1.14933884 0.09892749 0.09892184 0.09893433 0.09892626 14.45132621 1.13146281 0.09633496 0.09632932 0.09634171 0.09633373 14.87020523 1.11474986 0.09400714 0.09400156 0.09401386 0.09400594 15.28908425 1.09824801 0.09170973 0.09170430 0.09171647 0.09170856 15.70796327 1.08224760 0.08951432 0.08950897 0.08952102 0.08951320 16.12684229 1.06681427 0.08743635 0.08743100 0.08744295 0.08743527 16.54572131 1.05209236 0.08551039 0.08550504 0.08551691 0.08550927 16.96460033 1.03780046 0.08366752 0.08366225 0.08367400 0.08366640 17.38347935 1.02348375 0.08179767 0.08179243 0.08180406 0.08179658 17.80235837 1.00982378 0.08006614 0.08006092 0.08007244 0.08006508 18.22123739 0.99664754 0.07843076 0.07842559 0.07843699 0.07842972 18.64011641 0.98386096 0.07686879 0.07686364 0.07687492 0.07686775 19.05899543 0.97117413 0.07531032 0.07530525 0.07531640 0.07530930 19.47787445 0.95902777 0.07386194 0.07385692 0.07386795 0.07386095 19.89675347 0.94732615 0.07250055 0.07249558 0.07250649 0.07249957 20.31563249 0.93592195 0.07119068 0.07118576 0.07119655 0.07118971 20.73451151 0.92478345 0.06992484 0.06991997 0.06993064 0.06992389 21.15339053 0.91390096 0.06870087 0.06869606 0.06870661 0.06869994 21.57226955 0.90326567 0.06751686 0.06751210 0.06752254 0.06751595 21.99114858 0.89286918 0.06637099 0.06636628 0.06637660 0.06637009 22.41002760 0.88270339 0.06526153 0.06525687 0.06526707 0.06526064 22.82890662 0.87276056 0.06418683 0.06418222 0.06419231 0.06418596 23.24778564 0.86303331 0.06314535 0.06314079 0.06315077 0.06314449 23.66666466 0.85351461 0.06213563 0.06213111 0.06214098 0.06213478 24.08554368 0.84419773 0.06115629 0.06115183 0.06116158 0.06115546 24.50442270 0.83507628 0.06020604 0.06020162 0.06021127 0.06020522 24.92330172 0.82614414 0.05928365 0.05927928 0.05928882 0.05928284 25.34218074 0.81739545 0.05838796 0.05838364 0.05839307 0.05838716 25.76105976 0.80882462 0.05751787 0.05751360 0.05752293 0.05751709 26.17993878 0.80042628 0.05667236 0.05666813 0.05667735 0.05667158 26.59881780 0.79219530 0.05585042 0.05584624 0.05585536 0.05584966 27.01769682 0.78412676 0.05505113 0.05504699 0.05505601 0.05505038 27.43657584 0.77621592 0.05427360 0.05426951 0.05427843 0.05427286 27.85545486 0.76845825 0.05351700 0.05351295 0.05352178 0.05351627 28.27433388 0.76084937 0.05278052 0.05277651 0.05278524 0.05277980 28.69321290 0.75338506 0.05206339 0.05205942 0.05206806 0.05206268 29.11209192 0.74606124 0.05136488 0.05136095 0.05136950 0.05136418 29.53097094 0.73887399 0.05068429 0.05068040 0.05068886 0.05068360 29.94984996 0.73181954 0.05002095 0.05001711 0.05002548 0.05002027 30.36872898 0.72489425 0.04937425 0.04937044 0.04937872 0.04937358 30.78760801 0.71809465 0.04874356 0.04873980 0.04874799 0.04874290 31.20648703 0.71141735 0.04812833 0.04812461 0.04813271 0.04812768 31.62536605 0.70485912 0.04752800 0.04752432 0.04753234 0.04752736 32.04424507 0.69841683 0.04694206 0.04693841 0.04694635 0.04694142 32.46312409 0.69208746 0.04637000 0.04636639 0.04637425 0.04636937 32.88200311 0.68586811 0.04581135 0.04580778 0.04581555 0.04581073 33.30088213 0.67975596 0.04526566 0.04526212 0.04526982 0.04526505 33.71976115 0.67374830 0.04473250 0.04472899 0.04473661 0.04473189 34.13864017 0.66784250 0.04421144 0.04420796 0.04421551 0.04421084 34.55751919 0.66203604 0.04370209 0.04369865 0.04370612 0.04370150 34.97639821 0.65632647 0.04320408 0.04320067 0.04320807 0.04320349 35.39527723 0.65071141 0.04271703 0.04271365 0.04272098 0.04271645 35.81415625 0.64518857 0.04224060 0.04223726 0.04224452 0.04224003 36.23303527 0.63975574 0.04177446 0.04177115 0.04177834 0.04177390 36.65191429 0.63441076 0.04131828 0.04131500 0.04132212 0.04131772 37.07079331 0.62915153 0.04087176 0.04086851 0.04087556 0.04087121 37.48967233 0.62397604 0.04043459 0.04043137 0.04043836 0.04043404 37.90855135 0.61888231 0.04000649 0.04000330 0.04001022 0.04000595 38.32743037 0.61386844 0.03958719 0.03958403 0.03959088 0.03958665 38.74630939 0.60893258 0.03917641 0.03917328 0.03918008 0.03917588 39.16518841 0.60407295 0.03877392 0.03877081 0.03877755 0.03877339 39.58406744 0.59928780 0.03837945 0.03837638 0.03838305 0.03837893 40.00294646 0.59457547 0.03799279 0.03798974 0.03799635 0.03799227 40.42182548 0.58993430 0.03761370 0.03761067 0.03761723 0.03761319 40.84070450 0.58536273 0.03724196 0.03723896 0.03724546 0.03724146 41.25958352 0.58085920 0.03687737 0.03687440 0.03688084 0.03687687 41.67846254 0.57642224 0.03651973 0.03651679 0.03652317 0.03651924 42.09734156 0.57205038 0.03616884 0.03616593 0.03617225 0.03616836 42.51622058 0.56774223 0.03582452 0.03582163 0.03582790 0.03582404 42.93509960 0.56349642 0.03548659 0.03548372 0.03548994 0.03548611 43.35397862 0.55931161 0.03515487 0.03515203 0.03515820 0.03515440 43.77285764 0.55518651 0.03482920 0.03482638 0.03483250 0.03482874 44.19173666 0.55111988 0.03450942 0.03450662 0.03451268 0.03450896 44.61061568 0.54711049 0.03419537 0.03419259 0.03419860 0.03419491 45.02949470 0.54315715 0.03388689 0.03388414 0.03389010 0.03388644 45.44837372 0.53925870 0.03358386 0.03358113 0.03358704 0.03358340 45.86725274 0.53541404 0.03328612 0.03328341 0.03328927 0.03328567 46.28613176 0.53162205 0.03299353 0.03299085 0.03299667 0.03299309 46.70501078 0.52788169 0.03270598 0.03270332 0.03270909 0.03270554 47.12388980 0.52419191 0.03242334 0.03242069 0.03242642 0.03242290 47.54276882 0.52055170 0.03214547 0.03214285 0.03214853 0.03214504 47.96164784 0.51696009 0.03187227 0.03186966 0.03187530 0.03187184 48.38052687 0.51341611 0.03160361 0.03160102 0.03160662 0.03160318 48.79940589 0.50991882 0.03133939 0.03133682 0.03134237 0.03133897 49.21828491 0.50646732 0.03107949 0.03107695 0.03108246 0.03107908 49.63716393 0.50306073 0.03082382 0.03082130 0.03082676 0.03082341 50.05604295 0.49969817 0.03057227 0.03056977 0.03057519 0.03057186 50.47492197 0.49637881 0.03032475 0.03032226 0.03032764 0.03032434 50.89380099 0.49310182 0.03008115 0.03007868 0.03008403 0.03008075 51.31268001 0.48986641 0.02984140 0.02983894 0.02984425 0.02984100 51.73155903 0.48667179 0.02960539 0.02960295 0.02960822 0.02960499 52.15043805 0.48351720 0.02937304 0.02937062 0.02937585 0.02937264 52.56931707 0.48040191 0.02914427 0.02914187 0.02914706 0.02914388 52.98819609 0.47732519 0.02891900 0.02891662 0.02892177 0.02891861 53.40707511 0.47428633 0.02869714 0.02869478 0.02869989 0.02869676 53.82595413 0.47128465 0.02847863 0.02847628 0.02848136 0.02847825 54.24483315 0.46831947 0.02826339 0.02826106 0.02826610 0.02826301 54.66371217 0.46539014 0.02805134 0.02804902 0.02805403 0.02805096 55.08259119 0.46249601 0.02784241 0.02784012 0.02784509 0.02784204 55.50147021 0.45963646 0.02763655 0.02763427 0.02763920 0.02763618 55.92034923 0.45681089 0.02743368 0.02743141 0.02743631 0.02743331 56.33922825 0.45401868 0.02723373 0.02723148 0.02723635 0.02723336 56.75810727 0.45125927 0.02703665 0.02703441 0.02703925 0.02703629 57.17698630 0.44853209 0.02684237 0.02684015 0.02684495 0.02684201 57.59586532 0.44583657 0.02665084 0.02664864 0.02665341 0.02665049 58.01474434 0.44317217 0.02646200 0.02645981 0.02646455 0.02646165 58.43362336 0.44053838 0.02627580 0.02627362 0.02627833 0.02627545 58.85250238 0.43793465 0.02609217 0.02609001 0.02609468 0.02609182 59.27138140 0.43536050 0.02591107 0.02590892 0.02591356 0.02591072 59.69026042 0.43281541 0.02573244 0.02573031 0.02573492 0.02573210 60.10913944 0.43029892 0.02555624 0.02555412 0.02555870 0.02555590 60.52801846 0.42781054 0.02538242 0.02538031 0.02538487 0.02538208 60.94689748 0.42534981 0.02521093 0.02520883 0.02521336 0.02521059 61.36577650 0.42291628 0.02504171 0.02503964 0.02504413 0.02504138 61.78465552 0.42050951 0.02487474 0.02487268 0.02487714 0.02487441 62.20353454 0.41812905 0.02470997 0.02470791 0.02471235 0.02470964 62.62241356 0.41577449 0.02454734 0.02454530 0.02454971 0.02454701 63.04129258 0.41344540 0.02438683 0.02438480 0.02438918 0.02438650 63.46017160 0.41114139 0.02422838 0.02422637 0.02423072 0.02422806 63.87905062 0.40886205 0.02407197 0.02406996 0.02407429 0.02407165 64.29792964 0.40660699 0.02391754 0.02391555 0.02391986 0.02391722 64.71680866 0.40437583 0.02376508 0.02376310 0.02376737 0.02376476 65.13568768 0.40216819 0.02361452 0.02361256 0.02361681 0.02361421 65.55456670 0.39998372 0.02346586 0.02346390 0.02346812 0.02346554 65.97344573 0.39782205 0.02331903 0.02331709 0.02332129 0.02331872 66.39232475 0.39568282 0.02317402 0.02317209 0.02317627 0.02317371 66.81120377 0.39356571 0.02303079 0.02302887 0.02303302 0.02303049 67.23008279 0.39147036 0.02288931 0.02288740 0.02289153 0.02288901 67.64896181 0.38939645 0.02274954 0.02274765 0.02275175 0.02274924 68.06784083 0.38734366 0.02261146 0.02260958 0.02261365 0.02261116 68.48671985 0.38531166 0.02247504 0.02247316 0.02247721 0.02247474 68.90559887 0.38330016 0.02234024 0.02233837 0.02234240 0.02233994 69.32447789 0.38130883 0.02220703 0.02220518 0.02220918 0.02220673 69.74335691 0.37933739 0.02207539 0.02207355 0.02207753 0.02207510 70.16223593 0.37738555 0.02194530 0.02194347 0.02194743 0.02194501 70.58111495 0.37545301 0.02181672 0.02181490 0.02181884 0.02181643 70.99999397 0.37353949 0.02168963 0.02168782 0.02169173 0.02168934 71.41887299 0.37164472 0.02156400 0.02156220 0.02156609 0.02156371 71.83775201 0.36976843 0.02143981 0.02143802 0.02144189 0.02143952 72.25663103 0.36791035 0.02131703 0.02131525 0.02131910 0.02131675 72.67551005 0.36607023 0.02119565 0.02119387 0.02119770 0.02119536 73.09438907 0.36424780 0.02107563 0.02107386 0.02107767 0.02107534 73.51326809 0.36244281 0.02095695 0.02095519 0.02095898 0.02095667 73.93214711 0.36065503 0.02083959 0.02083785 0.02084162 0.02083931 74.35102613 0.35888421 0.02072354 0.02072180 0.02072555 0.02072326 74.76990516 0.35713011 0.02060876 0.02060703 0.02061076 0.02060848 75.18878418 0.35539250 0.02049524 0.02049352 0.02049723 0.02049496 75.60766320 0.35367115 0.02038295 0.02038125 0.02038493 0.02038268 76.02654222 0.35196585 0.02027189 0.02027019 0.02027386 0.02027162 76.44542124 0.35027636 0.02016202 0.02016033 0.02016398 0.02016175 76.86430026 0.34860247 0.02005333 0.02005164 0.02005527 0.02005306 77.28317928 0.34694398 0.01994579 0.01994412 0.01994773 0.01994553 77.70205830 0.34530066 0.01983940 0.01983774 0.01984133 0.01983914 78.12093732 0.34367233 0.01973414 0.01973248 0.01973605 0.01973387 78.53981634 0.34205878 0.01962997 0.01962833 0.01963188 0.01962971 78.95869536 0.34045981 0.01952690 0.01952526 0.01952880 0.01952664 79.37757438 0.33887522 0.01942490 0.01942327 0.01942679 0.01942464 79.79645340 0.33730484 0.01932395 0.01932233 0.01932583 0.01932370 80.21533242 0.33574846 0.01922405 0.01922243 0.01922592 0.01922379 80.63421144 0.33420591 0.01912516 0.01912356 0.01912702 0.01912491 81.05309046 0.33267701 0.01902728 0.01902569 0.01902914 0.01902703 81.47196948 0.33116157 0.01893040 0.01892881 0.01893224 0.01893015 81.89084850 0.32965943 0.01883449 0.01883291 0.01883632 0.01883424 82.30972752 0.32817042 0.01873955 0.01873797 0.01874137 0.01873930 82.72860654 0.32669435 0.01864555 0.01864398 0.01864736 0.01864530 83.14748557 0.32523108 0.01855249 0.01855093 0.01855429 0.01855224 83.56636459 0.32378043 0.01846034 0.01845879 0.01846214 0.01846010 83.98524361 0.32234225 0.01836911 0.01836756 0.01837089 0.01836886 84.40412263 0.32091638 0.01827876 0.01827723 0.01828054 0.01827852 84.82300165 0.31950266 0.01818930 0.01818777 0.01819107 0.01818906 85.24188067 0.31810094 0.01810071 0.01809918 0.01810247 0.01810046 85.66075969 0.31671108 0.01801297 0.01801145 0.01801472 0.01801273 86.07963871 0.31533292 0.01792607 0.01792456 0.01792782 0.01792583 86.49851773 0.31396632 0.01784000 0.01783850 0.01784174 0.01783977 86.91739675 0.31261113 0.01775476 0.01775326 0.01775649 0.01775452 87.33627577 0.31126723 0.01767032 0.01766883 0.01767204 0.01767008 87.75515479 0.30993446 0.01758668 0.01758520 0.01758839 0.01758644 88.17403381 0.30861271 0.01750382 0.01750234 0.01750552 0.01750358 88.59291283 0.30730182 0.01742173 0.01742027 0.01742343 0.01742150 89.01179185 0.30600167 0.01734041 0.01733895 0.01734210 0.01734018 89.43067087 0.30471213 0.01725984 0.01725839 0.01726153 0.01725961 89.84954989 0.30343307 0.01718002 0.01717857 0.01718169 0.01717979 90.26842891 0.30216438 0.01710092 0.01709948 0.01710259 0.01710069 90.68730793 0.30090592 0.01702255 0.01702112 0.01702421 0.01702232 91.10618695 0.29965757 0.01694489 0.01694346 0.01694654 0.01694466 91.52506597 0.29841922 0.01686793 0.01686651 0.01686958 0.01686771 91.94394500 0.29719075 0.01679167 0.01679025 0.01679331 0.01679144 92.36282402 0.29597204 0.01671609 0.01671468 0.01671772 0.01671587 92.78170304 0.29476297 0.01664118 0.01663978 0.01664281 0.01664096 93.20058206 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