# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03926991 3.51218349 0.78894113 0.78991758 0.79078191 0.78598268 0.11780972 3.74283965 0.82056779 0.82107703 0.81924797 0.82116036 0.19634954 3.61243326 0.77785078 0.77802474 0.77571051 0.77970414 0.27488936 3.45240482 0.73121835 0.73127008 0.72902137 0.73327826 0.35342917 3.31110307 0.69015137 0.69019748 0.68818207 0.69204916 0.43196899 3.19403187 0.65542603 0.65543906 0.65369084 0.65706213 0.51050881 3.09667051 0.62574663 0.62577906 0.62428194 0.62711533 0.58904862 3.01557203 0.60028120 0.60031903 0.59904170 0.60141128 0.66758844 2.94644799 0.57798306 0.57801802 0.57692771 0.57891155 0.74612826 2.88672600 0.55822050 0.55826220 0.55732903 0.55898352 0.82466807 2.83432165 0.54050589 0.54057125 0.53976880 0.54113427 0.90320789 2.78748091 0.52440029 0.52448346 0.52378999 0.52491933 0.98174770 2.74495746 0.50961386 0.50969943 0.50909672 0.51004469 1.06028752 2.70603905 0.49596983 0.49605200 0.49552531 0.49632980 1.13882734 2.67013403 0.48331325 0.48339378 0.48293115 0.48361589 1.21736715 2.63672565 0.47150216 0.47157306 0.47116466 0.47175843 1.29590697 2.60544774 0.46043851 0.46050015 0.46013781 0.46065744 1.37444679 2.57570663 0.44995940 0.45001640 0.44969361 0.45014764 1.45298660 2.54747574 0.44005171 0.44010733 0.43981844 0.44021476 1.53152642 2.52053913 0.43064890 0.43070664 0.43044708 0.43079102 1.61006623 2.49453323 0.42165336 0.42170841 0.42147434 0.42177826 1.68860605 2.46944515 0.41305647 0.41310873 0.41289701 0.41316685 1.76714587 2.44533333 0.40487590 0.40492309 0.40473106 0.40497408 1.84568568 2.42211549 0.39707054 0.39711524 0.39694067 0.39715843 1.92422550 2.39956877 0.38956694 0.38960807 0.38944906 0.38964597 2.00276532 2.37768138 0.38235954 0.38239647 0.38225126 0.38243107 2.08130513 2.35637272 0.37541805 0.37545268 0.37531978 0.37548314 2.15984495 2.33554214 0.36871421 0.36874694 0.36862511 0.36877368 2.23838477 2.31521989 0.36224720 0.36227813 0.36216633 0.36230170 2.31692458 2.29549987 0.35603437 0.35606274 0.35595994 0.35608452 2.39546440 2.27628518 0.35004426 0.35006949 0.34997481 0.35009068 2.47400421 2.25734107 0.34421448 0.34423678 0.34414957 0.34425754 2.55254403 2.23892348 0.33860849 0.33862780 0.33854745 0.33864852 2.63108385 2.22093985 0.33318953 0.33320628 0.33313218 0.33322687 2.70962366 2.20327907 0.32792375 0.32793942 0.32787105 0.32795865 2.78816348 2.18594181 0.32281101 0.32282582 0.32276275 0.32284362 2.86670330 2.16902256 0.31786795 0.31788162 0.31782340 0.31789848 2.94524311 2.15245106 0.31307492 0.31308738 0.31303366 0.31310353 3.02378293 2.13618348 0.30841614 0.30842704 0.30837745 0.30844302 3.10232275 2.12025804 0.30389784 0.30390771 0.30386193 0.30392315 3.18086256 2.10466511 0.29951541 0.29952465 0.29948239 0.29953923 3.25940238 2.08936525 0.29525564 0.29526359 0.29522460 0.29527810 3.33794219 2.07428892 0.29109680 0.29110455 0.29106862 0.29111797 3.41648201 2.05951630 0.28706169 0.28706877 0.28703568 0.28708163 3.49502183 2.04515225 0.28317033 0.28317597 0.28314555 0.28318913 3.57356164 2.03094399 0.27935133 0.27935651 0.27932856 0.27936907 3.65210146 2.01697751 0.27563013 0.27563486 0.27560924 0.27564687 3.73064128 2.00337306 0.27203634 0.27204058 0.27201713 0.27205213 3.80918109 1.99002251 0.26853598 0.26853978 0.26851833 0.26855088 3.88772091 1.97685239 0.26510934 0.26511223 0.26509265 0.26512341 3.96626073 1.96385507 0.26175467 0.26175700 0.26173919 0.26176796 4.04480054 1.95106873 0.25848173 0.25848346 0.25846731 0.25849428 4.12334036 1.93851683 0.25529323 0.25529393 0.25527933 0.25530509 4.20188017 1.92623551 0.25219648 0.25219659 0.25218346 0.25220768 4.28041999 1.91415369 0.24917124 0.24917124 0.24915949 0.24918182 4.35895981 1.90220667 0.24619988 0.24619952 0.24618906 0.24620987 4.43749962 1.89043701 0.24329485 0.24329400 0.24328476 0.24330429 4.51603944 1.87890581 0.24046909 0.24046804 0.24045994 0.24047800 4.59457926 1.86752621 0.23769744 0.23769615 0.23768911 0.23770584 4.67311907 1.85635031 0.23499384 0.23499215 0.23498612 0.23500176 4.75165889 1.84535545 0.23235307 0.23235100 0.23234595 0.23236052 4.83019870 1.83451286 0.22976506 0.22976296 0.22975884 0.22977207 4.90873852 1.82383536 0.22723201 0.22722996 0.22722671 0.22723858 4.98727834 1.81330501 0.22474947 0.22474722 0.22474478 0.22475565 5.06581815 1.80298423 0.22233438 0.22233186 0.22233018 0.22234020 5.14435797 1.79285723 0.21998062 0.21997790 0.21997695 0.21998608 5.22289779 1.78285017 0.21766732 0.21766454 0.21766427 0.21767244 5.30143760 1.77300274 0.21540516 0.21540230 0.21540268 0.21540995 5.37997742 1.76333941 0.21320022 0.21319721 0.21319821 0.21320470 5.45851724 1.75384894 0.21104929 0.21104608 0.21104767 0.21105347 5.53705705 1.74443141 0.20892565 0.20892211 0.20892426 0.20892956 5.61559687 1.73509769 0.20683115 0.20682731 0.20682999 0.20683480 5.69413668 1.72591220 0.20478212 0.20477820 0.20478138 0.20478552 5.77267650 1.71685097 0.20277203 0.20276821 0.20277186 0.20277519 5.85121632 1.70790171 0.20079761 0.20079380 0.20079790 0.20080054 5.92975613 1.69907600 0.19886163 0.19885763 0.19886216 0.19886435 6.00829595 1.69038980 0.19696737 0.19696313 0.19696807 0.19696989 6.08683577 1.68182572 0.19510970 0.19510533 0.19511065 0.19511203 6.16537558 1.67332109 0.19327258 0.19326810 0.19327379 0.19327472 6.24391540 1.66492191 0.19146825 0.19146368 0.19146974 0.19147021 6.32245522 1.65669022 0.18971234 0.18970773 0.18971412 0.18971413 6.40099503 1.64860704 0.18799871 0.18799406 0.18800078 0.18800034 6.47953485 1.64064734 0.18632029 0.18631563 0.18632265 0.18632176 6.55807466 1.63279227 0.18467242 0.18466777 0.18467508 0.18467375 6.63661448 1.62498931 0.18304176 0.18303707 0.18304465 0.18304295 6.71515430 1.61722480 0.18142421 0.18141943 0.18142727 0.18142527 6.79369411 1.60953180 0.17982816 0.17982337 0.17983146 0.17982909 6.87223393 1.60194820 0.17826363 0.17825892 0.17826726 0.17826443 6.95077375 1.59453220 0.17674528 0.17674064 0.17674920 0.17674596 7.02931356 1.58726538 0.17526791 0.17526323 0.17527200 0.17526849 7.10785338 1.58004275 0.17380438 0.17379959 0.17380856 0.17380486 7.18639320 1.57282697 0.17234506 0.17234017 0.17234934 0.17234545 7.26493301 1.56569391 0.17090940 0.17090444 0.17091379 0.17090971 7.34347283 1.55868917 0.16950907 0.16950401 0.16951354 0.16950928 7.42201264 1.55179747 0.16813969 0.16813454 0.16814426 0.16813982 7.50055246 1.54498484 0.16679210 0.16678686 0.16679674 0.16679214 7.57909228 1.53822643 0.16546003 0.16545471 0.16546474 0.16546000 7.65763209 1.53153144 0.16414593 0.16414059 0.16415077 0.16414583 7.73617191 1.52491575 0.16285361 0.16284828 0.16285861 0.16285343 7.81471173 1.51837840 0.16158275 0.16157745 0.16158792 0.16158251 7.89325154 1.51190640 0.16033004 0.16032475 0.16033535 0.16032974 7.97179136 1.50548431 0.15909141 0.15908609 0.15909681 0.15909105 8.05033117 1.49911411 0.15786726 0.15786187 0.15787271 0.15786685 8.12887099 1.49282291 0.15666429 0.15665882 0.15666977 0.15666384 8.20741081 1.48663970 0.15548957 0.15548403 0.15549510 0.15548906 8.28595062 1.48056790 0.15434387 0.15433834 0.15434950 0.15434332 8.36449044 1.47456874 0.15321751 0.15321199 0.15322325 0.15321690 8.44303026 1.46857992 0.15209471 0.15208920 0.15210055 0.15209406 8.52157007 1.46258686 0.15097171 0.15096620 0.15097764 0.15097102 8.60010989 1.45664441 0.14986229 0.14985678 0.14986831 0.14986155 8.67864971 1.45079591 0.14877729 0.14877176 0.14878338 0.14877651 8.75718952 1.44503402 0.14771483 0.14770928 0.14772098 0.14771401 8.83572934 1.43934329 0.14667101 0.14666546 0.14667723 0.14667017 8.91426915 1.43370338 0.14564059 0.14563502 0.14564686 0.14563972 8.99280897 1.42807961 0.14461467 0.14460908 0.14462098 0.14461378 9.07134879 1.42247792 0.14359473 0.14358909 0.14360106 0.14359381 9.14988860 1.41694578 0.14259269 0.14258698 0.14259902 0.14259175 9.22842842 1.41150463 0.14161387 0.14160808 0.14162019 0.14161291 9.30696824 1.40614333 0.14065529 0.14064946 0.14066162 0.14065431 9.38550805 1.40084392 0.13971228 0.13970643 0.13971864 0.13971127 9.46404787 1.39559099 0.13878089 0.13877504 0.13878731 0.13877985 9.54258769 1.39036971 0.13785744 0.13785163 0.13786395 0.13785637 9.62112750 1.38517041 0.13693964 0.13693389 0.13694625 0.13693855 9.69966732 1.38000245 0.13602999 0.13602428 0.13603668 0.13602888 9.77820713 1.37488515 0.13513330 0.13512761 0.13514006 0.13513218 9.85674695 1.36983167 0.13425264 0.13424696 0.13425944 0.13425152 9.93528677 1.36484639 0.13338889 0.13338318 0.13339570 0.13338775 10.01382658 1.35992349 0.13254055 0.13253482 0.13254736 0.13253940 10.09236640 1.35504787 0.13170392 0.13169817 0.13171075 0.13170276 10.17090622 1.35019954 0.13087405 0.13086829 0.13088090 0.13087288 10.24944603 1.34537367 0.13004970 0.13004393 0.13005657 0.13004852 10.32798585 1.34059587 0.12923719 0.12923142 0.12924408 0.12923600 10.40652567 1.33589433 0.12844347 0.12843767 0.12845036 0.12844227 10.48506548 1.33126632 0.12766773 0.12766192 0.12767464 0.12766652 10.56360530 1.32668262 0.12690270 0.12689688 0.12690962 0.12690148 10.64214511 1.32211412 0.12614119 0.12613537 0.12614812 0.12613995 10.72068493 1.31755259 0.12538121 0.12537541 0.12538818 0.12537996 10.79922475 1.31301030 0.12462582 0.12462004 0.12463283 0.12462457 10.87776456 1.30850193 0.12387861 0.12387283 0.12388563 0.12387735 10.95630438 1.30403107 0.12314033 0.12313456 0.12314736 0.12313908 11.03484420 1.29959258 0.12240970 0.12240391 0.12241672 0.12240844 11.11338401 1.29517937 0.12168498 0.12167917 0.12169199 0.12168371 11.19192383 1.29078695 0.12096510 0.12095928 0.12097211 0.12096383 11.27046364 1.28641926 0.12025105 0.12024522 0.12025806 0.12024977 11.34900346 1.28209050 0.11954631 0.11954047 0.11955332 0.11954502 11.42754328 1.27781475 0.11885431 0.11884847 0.11886133 0.11885302 11.50608309 1.27359434 0.11817558 0.11816974 0.11818261 0.11817429 11.58462291 1.26942334 0.11750858 0.11750276 0.11751564 0.11750729 11.66316273 1.26529570 0.11685180 0.11684600 0.11685888 0.11685051 11.74170254 1.26120225 0.11620298 0.11619719 0.11621008 0.11620169 11.82024236 1.25712649 0.11555804 0.11555225 0.11556513 0.11555674 11.89878218 1.25305323 0.11491321 0.11490741 0.11492029 0.11491192 11.97732199 1.24898242 0.11426851 0.11426269 0.11427557 0.11426722 12.05586181 1.24493184 0.11362833 0.11362250 0.11363537 0.11362704 12.13440162 1.24092272 0.11299789 0.11299205 0.11300493 0.11299661 12.21294144 1.23696170 0.11237880 0.11237296 0.11238583 0.11237751 12.29148126 1.23304103 0.11176909 0.11176326 0.11177614 0.11176780 12.37002107 1.22915426 0.11116714 0.11116133 0.11117420 0.11116585 12.44856089 1.22530318 0.11057338 0.11056758 0.11058045 0.11057210 12.52710071 1.22148778 0.10998782 0.10998203 0.10999489 0.10998654 12.60564052 1.21769620 0.10940754 0.10940175 0.10941460 0.10940626 12.68418034 1.21391155 0.10882836 0.10882258 0.10883542 0.10882708 12.76272016 1.21013087 0.10824957 0.10824379 0.10825662 0.10824829 12.84125997 1.20637164 0.10767547 0.10766969 0.10768251 0.10767419 12.91979979 1.20265389 0.10711100 0.10710522 0.10711804 0.10710972 12.99833960 1.19897863 0.10655637 0.10655060 0.10656340 0.10655510 13.07687942 1.19532779 0.10600712 0.10600135 0.10601414 0.10600585 13.15541924 1.19168199 0.10545848 0.10545271 0.10546549 0.10545721 13.23395905 1.18803536 0.10490903 0.10490327 0.10491604 0.10490776 13.31249887 1.18439714 0.10436107 0.10435531 0.10436807 0.10435981 13.39103869 1.18078533 0.10381901 0.10381325 0.10382601 0.10381775 13.46957850 1.17721896 0.10328749 0.10328174 0.10329448 0.10328625 13.54811832 1.17370933 0.10276925 0.10276349 0.10277623 0.10276800 13.62665813 1.17025203 0.10226312 0.10225738 0.10227010 0.10226189 13.70519795 1.16682912 0.10176470 0.10175895 0.10177167 0.10176347 13.78373777 1.16342365 0.10126980 0.10126405 0.10127675 0.10126858 13.86227758 1.16003156 0.10077744 0.10077169 0.10078438 0.10077623 13.94081740 1.15666002 0.10028941 0.10028366 0.10029633 0.10028820 14.01935722 1.15331860 0.09980806 0.09980231 0.09981497 0.09980685 14.09789703 1.15001158 0.09933446 0.09932872 0.09934136 0.09933325 14.17643685 1.14673476 0.09886756 0.09886183 0.09887446 0.09886636 14.25497667 1.14347788 0.09840484 0.09839912 0.09841173 0.09840365 14.33351648 1.14023115 0.09794389 0.09793817 0.09795076 0.09794270 14.41205630 1.13699007 0.09748362 0.09747789 0.09749046 0.09748243 14.49059611 1.13375545 0.09702423 0.09701850 0.09703106 0.09702304 14.56913593 1.13053114 0.09656670 0.09656097 0.09657351 0.09656551 14.64767575 1.12732179 0.09611215 0.09610642 0.09611894 0.09611095 14.72621556 1.12413026 0.09566126 0.09565554 0.09566805 0.09566007 14.80475538 1.12095654 0.09521404 0.09520832 0.09522081 0.09521284 14.88329520 1.11779992 0.09477027 0.09476456 0.09477703 0.09476908 14.96183501 1.11466241 0.09433046 0.09432475 0.09433721 0.09432927 15.04037483 1.11154983 0.09389600 0.09389030 0.09390274 0.09389481 15.11891465 1.10846981 0.09346876 0.09346307 0.09347549 0.09346757 15.19745446 1.10542811 0.09305012 0.09304444 0.09305685 0.09304893 15.27599428 1.10242445 0.09264002 0.09263436 0.09264675 0.09263884 15.35453409 1.09945036 0.09223641 0.09223076 0.09224313 0.09223523 15.43307391 1.09649161 0.09183581 0.09183018 0.09184252 0.09183463 15.51161373 1.09353382 0.09143473 0.09142910 0.09144142 0.09143356 15.59015354 1.09056740 0.09103082 0.09102520 0.09103749 0.09102965 15.66869336 1.08758998 0.09062350 0.09061788 0.09063016 0.09062234 15.74723318 1.08460630 0.09021393 0.09020832 0.09022057 0.09021277 15.82577299 1.08162618 0.08980449 0.08979889 0.08981112 0.08980333 15.90431281 1.07866152 0.08939810 0.08939250 0.08940471 0.08939694 15.98285263 1.07572334 0.08899742 0.08899185 0.08900403 0.08899627 16.06139244 1.07281831 0.08860410 0.08859854 0.08861071 0.08860295 16.13993226 1.06994599 0.08821801 0.08821248 0.08822462 0.08821687 16.21847207 1.06709995 0.08783757 0.08783206 0.08784419 0.08783644 16.29701189 1.06427383 0.08746124 0.08745574 0.08746785 0.08746011 16.37555171 1.06146688 0.08708881 0.08708333 0.08709541 0.08708769 16.45409152 1.05868278 0.08672118 0.08671570 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