# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.20943951 3.42434128 0.73212294 0.73216266 0.72998128 0.73406460 0.62831853 2.95191537 0.58167311 0.58174124 0.58063837 0.58264409 1.04719755 2.70168036 0.49501461 0.49509781 0.49459119 0.49536736 1.46607657 2.53501146 0.43596942 0.43602576 0.43575902 0.43612071 1.88495559 2.40369895 0.39108797 0.39112390 0.39096766 0.39116729 2.30383461 2.29209218 0.35505580 0.35507938 0.35498183 0.35510430 2.72271363 2.19416346 0.32524875 0.32526227 0.32519933 0.32528171 3.14159265 2.10624312 0.29994174 0.29995134 0.29991048 0.29996521 3.56047167 2.02746521 0.27836520 0.27836940 0.27834326 0.27838237 3.97935069 1.95593951 0.25963721 0.25963867 0.25962269 0.25964992 4.39822972 1.89064931 0.24323035 0.24322994 0.24322123 0.24323969 4.81710874 1.83087542 0.22876512 0.22876318 0.22875973 0.22877193 5.23598776 1.77569503 0.21586363 0.21586078 0.21586125 0.21586849 5.65486678 1.72496837 0.20438850 0.20438498 0.20438834 0.20439188 6.07374580 1.67787754 0.19405685 0.19405281 0.19405837 0.19405908 6.49262482 1.63411863 0.18473249 0.18472811 0.18473537 0.18473385 6.91150384 1.59327555 0.17626834 0.17626352 0.17627205 0.17626905 7.33038286 1.55484620 0.16850457 0.16849951 0.16850907 0.16850475 7.74926188 1.51877725 0.16140161 0.16139639 0.16140675 0.16140140 8.16814090 1.48476879 0.15486328 0.15485802 0.15486900 0.15486275 8.58701992 1.45253761 0.14880641 0.14880113 0.14881259 0.14880566 9.00589894 1.42217390 0.14323982 0.14323438 0.14324622 0.14323891 9.42477796 1.39341410 0.13808657 0.13808094 0.13809305 0.13808553 9.84365698 1.36605920 0.13329112 0.13328545 0.13329777 0.13329000 10.26253600 1.33986210 0.12878463 0.12877894 0.12879144 0.12878343 10.68141502 1.31524917 0.12466665 0.12466097 0.12467356 0.12466541 11.10029404 1.29147338 0.12074921 0.12074348 0.12075614 0.12074794 11.51917306 1.26863715 0.11705367 0.11704800 0.11706070 0.11705237 11.93805208 1.24664747 0.11355457 0.11354889 0.11356160 0.11355327 12.35693110 1.22547784 0.11024327 0.11023757 0.11025026 0.11024197 12.77581012 1.20527009 0.10715295 0.10714729 0.10715993 0.10715167 13.19468915 1.18583350 0.10423526 0.10422960 0.10424221 0.10423399 13.61356817 1.16712900 0.10147858 0.10147293 0.10148546 0.10147732 14.03244719 1.14893188 0.09882759 0.09882198 0.09883444 0.09882634 14.45132621 1.13160985 0.09637082 0.09636524 0.09637763 0.09636959 14.87020523 1.11480695 0.09402036 0.09401481 0.09402710 0.09401915 15.28908425 1.09832056 0.09172720 0.09172168 0.09173386 0.09172601 15.70796327 1.08237385 0.08954482 0.08953938 0.08955146 0.08954364 16.12684229 1.06694083 0.08746678 0.08746139 0.08747337 0.08746561 16.54572131 1.05201747 0.08549161 0.08548627 0.08549813 0.08549046 16.96460033 1.03755457 0.08360732 0.08360204 0.08361379 0.08360620 17.38347935 1.02347383 0.08179475 0.08178952 0.08180115 0.08179365 17.80235837 1.00983932 0.08006929 0.08006412 0.08007562 0.08006822 18.22123739 0.99654943 0.07840642 0.07840129 0.07841266 0.07840536 18.64011641 0.98358633 0.07680183 0.07679675 0.07680800 0.07680079 19.05899543 0.97108644 0.07528861 0.07528358 0.07529472 0.07528759 19.47787445 0.95902380 0.07386048 0.07385548 0.07386650 0.07385947 19.89675347 0.94732769 0.07250042 0.07249547 0.07250638 0.07249943 20.31563249 0.93592346 0.07119055 0.07118565 0.07119644 0.07118958 20.73451151 0.92478486 0.06992469 0.06991984 0.06993051 0.06992373 21.15339053 0.91390228 0.06870070 0.06869591 0.06870646 0.06869976 21.57226955 0.90326691 0.06751668 0.06751194 0.06752237 0.06751575 21.99114858 0.89287035 0.06637080 0.06636611 0.06637642 0.06636989 22.41002760 0.88270450 0.06526133 0.06525668 0.06526688 0.06526043 22.82890662 0.87276162 0.06418662 0.06418202 0.06419211 0.06418573 23.24778564 0.86303433 0.06314513 0.06314058 0.06315055 0.06314426 23.66666466 0.85351558 0.06213540 0.06213090 0.06214076 0.06213454 24.08554368 0.84419867 0.06115606 0.06115161 0.06116136 0.06115521 24.50442270 0.83507719 0.06020580 0.06020140 0.06021104 0.06020497 24.92330172 0.82614502 0.05928341 0.05927906 0.05928859 0.05928259 25.34218074 0.81739631 0.05838772 0.05838341 0.05839284 0.05838691 25.76105976 0.80882546 0.05751763 0.05751337 0.05752269 0.05751684 26.17993878 0.80042711 0.05667211 0.05666790 0.05667712 0.05667133 26.59881780 0.79219611 0.05585017 0.05584600 0.05585512 0.05584940 27.01769682 0.78412755 0.05505088 0.05504676 0.05505578 0.05505012 27.43657584 0.77621670 0.05427336 0.05426928 0.05427820 0.05427261 27.85545486 0.76845902 0.05351676 0.05351272 0.05352154 0.05351602 28.27433388 0.76085014 0.05278028 0.05277628 0.05278501 0.05277955 28.69321290 0.75338582 0.05206315 0.05205919 0.05206783 0.05206243 29.11209192 0.74606199 0.05136464 0.05136072 0.05136926 0.05136393 29.53097094 0.73887474 0.05068405 0.05068018 0.05068863 0.05068335 29.94984996 0.73182028 0.05002072 0.05001689 0.05002525 0.05002003 30.36872898 0.72489500 0.04937401 0.04937022 0.04937849 0.04937333 30.78760801 0.71809539 0.04874333 0.04873958 0.04874776 0.04874266 31.20648703 0.71141809 0.04812810 0.04812439 0.04813249 0.04812744 31.62536605 0.70485985 0.04752778 0.04752410 0.04753211 0.04752712 32.04424507 0.69841756 0.04694183 0.04693819 0.04694613 0.04694119 32.46312409 0.69208819 0.04636978 0.04636617 0.04637403 0.04636914 32.88200311 0.68586883 0.04581113 0.04580756 0.04581534 0.04581050 33.30088213 0.67975668 0.04526544 0.04526191 0.04526961 0.04526482 33.71976115 0.67374902 0.04473228 0.04472878 0.04473640 0.04473166 34.13864017 0.66784322 0.04421122 0.04420776 0.04421530 0.04421061 34.55751919 0.66203676 0.04370188 0.04369845 0.04370592 0.04370128 34.97639821 0.65632719 0.04320387 0.04320047 0.04320786 0.04320327 35.39527723 0.65071213 0.04271682 0.04271345 0.04272078 0.04271623 35.81415625 0.64518929 0.04224040 0.04223706 0.04224432 0.04223981 36.23303527 0.63975646 0.04177426 0.04177095 0.04177814 0.04177368 36.65191429 0.63441147 0.04131808 0.04131481 0.04132193 0.04131751 37.07079331 0.62915225 0.04087156 0.04086832 0.04087537 0.04087100 37.48967233 0.62397675 0.04043439 0.04043118 0.04043816 0.04043384 37.90855135 0.61888302 0.04000630 0.04000311 0.04001003 0.04000575 38.32743037 0.61386915 0.03958699 0.03958384 0.03959070 0.03958645 38.74630939 0.60893329 0.03917622 0.03917310 0.03917989 0.03917568 39.16518841 0.60407365 0.03877373 0.03877063 0.03877736 0.03877319 39.58406744 0.59928851 0.03837927 0.03837620 0.03838287 0.03837874 40.00294646 0.59457617 0.03799260 0.03798956 0.03799617 0.03799208 40.42182548 0.58993500 0.03761351 0.03761050 0.03761705 0.03761300 40.84070450 0.58536342 0.03724178 0.03723879 0.03724528 0.03724127 41.25958352 0.58085990 0.03687719 0.03687423 0.03688067 0.03687669 41.67846254 0.57642293 0.03651955 0.03651662 0.03652300 0.03651905 42.09734156 0.57205108 0.03616867 0.03616576 0.03617208 0.03616817 42.51622058 0.56774292 0.03582435 0.03582146 0.03582773 0.03582386 42.93509960 0.56349710 0.03548642 0.03548356 0.03548977 0.03548593 43.35397862 0.55931229 0.03515471 0.03515187 0.03515803 0.03515422 43.77285764 0.55518720 0.03482904 0.03482622 0.03483233 0.03482856 44.19173666 0.55112056 0.03450925 0.03450646 0.03451252 0.03450878 44.61061568 0.54711116 0.03419520 0.03419243 0.03419844 0.03419473 45.02949470 0.54315782 0.03388673 0.03388398 0.03388994 0.03388627 45.44837372 0.53925937 0.03358370 0.03358097 0.03358688 0.03358324 45.86725274 0.53541470 0.03328596 0.03328325 0.03328912 0.03328550 46.28613176 0.53162272 0.03299338 0.03299070 0.03299651 0.03299293 46.70501078 0.52788235 0.03270583 0.03270317 0.03270894 0.03270538 47.12388980 0.52419257 0.03242318 0.03242054 0.03242627 0.03242274 47.54276882 0.52055236 0.03214532 0.03214270 0.03214838 0.03214488 47.96164784 0.51696074 0.03187212 0.03186952 0.03187515 0.03187168 48.38052687 0.51341675 0.03160346 0.03160088 0.03160647 0.03160303 48.79940589 0.50991947 0.03133924 0.03133668 0.03134223 0.03133881 49.21828491 0.50646796 0.03107935 0.03107681 0.03108231 0.03107892 49.63716393 0.50306137 0.03082368 0.03082116 0.03082662 0.03082325 50.05604295 0.49969880 0.03057213 0.03056963 0.03057505 0.03057171 50.47492197 0.49637944 0.03032461 0.03032212 0.03032750 0.03032419 50.89380099 0.49310245 0.03008101 0.03007855 0.03008389 0.03008060 51.31268001 0.48986703 0.02984126 0.02983881 0.02984411 0.02984085 51.73155903 0.48667241 0.02960525 0.02960282 0.02960808 0.02960484 52.15043805 0.48351782 0.02937290 0.02937049 0.02937571 0.02937250 52.56931707 0.48040253 0.02914413 0.02914174 0.02914693 0.02914373 52.98819609 0.47732580 0.02891886 0.02891649 0.02892163 0.02891847 53.40707511 0.47428694 0.02869701 0.02869465 0.02869976 0.02869662 53.82595413 0.47128525 0.02847850 0.02847616 0.02848123 0.02847811 54.24483315 0.46832007 0.02826326 0.02826093 0.02826597 0.02826287 54.66371217 0.46539073 0.02805121 0.02804890 0.02805390 0.02805082 55.08259119 0.46249660 0.02784229 0.02783999 0.02784496 0.02784191 55.50147021 0.45963705 0.02763642 0.02763414 0.02763908 0.02763604 55.92034923 0.45681147 0.02743355 0.02743129 0.02743619 0.02743317 56.33922825 0.45401926 0.02723360 0.02723136 0.02723622 0.02723323 56.75810727 0.45125985 0.02703653 0.02703429 0.02703913 0.02703616 57.17698630 0.44853265 0.02684225 0.02684004 0.02684483 0.02684188 57.59586532 0.44583713 0.02665072 0.02664852 0.02665329 0.02665036 58.01474434 0.44317273 0.02646188 0.02645970 0.02646443 0.02646152 58.43362336 0.44053893 0.02627568 0.02627351 0.02627821 0.02627532 58.85250238 0.43793520 0.02609205 0.02608989 0.02609456 0.02609169 59.27138140 0.43536104 0.02591095 0.02590881 0.02591345 0.02591060 59.69026042 0.43281596 0.02573233 0.02573020 0.02573481 0.02573197 60.10913944 0.43029946 0.02555613 0.02555401 0.02555859 0.02555578 60.52801846 0.42781108 0.02538230 0.02538020 0.02538475 0.02538196 60.94689748 0.42535034 0.02521081 0.02520872 0.02521324 0.02521047 61.36577650 0.42291681 0.02504160 0.02503953 0.02504402 0.02504126 61.78465552 0.42051003 0.02487463 0.02487257 0.02487703 0.02487429 62.20353454 0.41812957 0.02470985 0.02470781 0.02471224 0.02470952 62.62241356 0.41577500 0.02454723 0.02454519 0.02454960 0.02454689 63.04129258 0.41344591 0.02438672 0.02438469 0.02438907 0.02438638 63.46017160 0.41114190 0.02422827 0.02422626 0.02423061 0.02422794 63.87905062 0.40886255 0.02407186 0.02406986 0.02407419 0.02407153 64.29792964 0.40660749 0.02391744 0.02391545 0.02391975 0.02391711 64.71680866 0.40437632 0.02376497 0.02376300 0.02376727 0.02376464 65.13568768 0.40216868 0.02361442 0.02361246 0.02361670 0.02361410 65.55456670 0.39998421 0.02346575 0.02346380 0.02346802 0.02346543 65.97344573 0.39782253 0.02331893 0.02331699 0.02332119 0.02331861 66.39232475 0.39568330 0.02317392 0.02317199 0.02317616 0.02317360 66.81120377 0.39356618 0.02303069 0.02302877 0.02303292 0.02303038 67.23008279 0.39147083 0.02288921 0.02288730 0.02289143 0.02288890 67.64896181 0.38939692 0.02274944 0.02274755 0.02275165 0.02274913 68.06784083 0.38734412 0.02261136 0.02260948 0.02261355 0.02261105 68.48671985 0.38531212 0.02247494 0.02247306 0.02247711 0.02247463 68.90559887 0.38330061 0.02234014 0.02233827 0.02234230 0.02233983 69.32447789 0.38130928 0.02220693 0.02220508 0.02220909 0.02220663 69.74335691 0.37933784 0.02207530 0.02207346 0.02207744 0.02207500 70.16223593 0.37738599 0.02194520 0.02194337 0.02194733 0.02194490 70.58111495 0.37545344 0.02181662 0.02181480 0.02181874 0.02181633 70.99999397 0.37353992 0.02168953 0.02168772 0.02169164 0.02168924 71.41887299 0.37164515 0.02156390 0.02156211 0.02156600 0.02156361 71.83775201 0.36976886 0.02143972 0.02143793 0.02144180 0.02143942 72.25663103 0.36791078 0.02131694 0.02131516 0.02131901 0.02131665 72.67551005 0.36607065 0.02119555 0.02119378 0.02119761 0.02119526 73.09438907 0.36424821 0.02107553 0.02107377 0.02107758 0.02107524 73.51326809 0.36244323 0.02095686 0.02095511 0.02095889 0.02095657 73.93214711 0.36065544 0.02083950 0.02083776 0.02084153 0.02083922 74.35102613 0.35888462 0.02072344 0.02072171 0.02072546 0.02072316 74.76990516 0.35713051 0.02060867 0.02060695 0.02061067 0.02060839 75.18878418 0.35539290 0.02049515 0.02049343 0.02049714 0.02049487 75.60766320 0.35367155 0.02038286 0.02038116 0.02038485 0.02038259 76.02654222 0.35196624 0.02027180 0.02027010 0.02027377 0.02027152 76.44542124 0.35027675 0.02016193 0.02016024 0.02016389 0.02016165 76.86430026 0.34860286 0.02005324 0.02005156 0.02005519 0.02005296 77.28317928 0.34694436 0.01994571 0.01994404 0.01994765 0.01994543 77.70205830 0.34530104 0.01983932 0.01983766 0.01984125 0.01983905 78.12093732 0.34367271 0.01973405 0.01973240 0.01973597 0.01973378 78.53981634 0.34205915 0.01962989 0.01962825 0.01963180 0.01962962 78.95869536 0.34046018 0.01952682 0.01952518 0.01952872 0.01952655 79.37757438 0.33887559 0.01942482 0.01942319 0.01942671 0.01942455 79.79645340 0.33730520 0.01932387 0.01932225 0.01932575 0.01932361 80.21533242 0.33574882 0.01922396 0.01922235 0.01922583 0.01922370 80.63421144 0.33420627 0.01912508 0.01912348 0.01912694 0.01912482 81.05309046 0.33267736 0.01902720 0.01902561 0.01902905 0.01902694 81.47196948 0.33116192 0.01893032 0.01892873 0.01893216 0.01893006 81.89084850 0.32965978 0.01883441 0.01883283 0.01883624 0.01883415 82.30972752 0.32817076 0.01873946 0.01873789 0.01874129 0.01873921 82.72860654 0.32669469 0.01864547 0.01864390 0.01864728 0.01864521 83.14748557 0.32523142 0.01855240 0.01855085 0.01855421 0.01855215 83.56636459 0.32378077 0.01846026 0.01845871 0.01846206 0.01846001 83.98524361 0.32234258 0.01836903 0.01836749 0.01837082 0.01836878 84.40412263 0.32091671 0.01827868 0.01827715 0.01828047 0.01827844 84.82300165 0.31950298 0.01818922 0.01818770 0.01819100 0.01818897 85.24188067 0.31810126 0.01810063 0.01809911 0.01810239 0.01810038 85.66075969 0.31671140 0.01801289 0.01801138 0.01801465 0.01801264 86.07963871 0.31533323 0.01792599 0.01792449 0.01792774 0.01792575 86.49851773 0.31396663 0.01783993 0.01783843 0.01784167 0.01783968 86.91739675 0.31261145 0.01775468 0.01775319 0.01775641 0.01775444 87.33627577 0.31126754 0.01767024 0.01766876 0.01767197 0.01767000 87.75515479 0.30993477 0.01758660 0.01758512 0.01758832 0.01758636 88.17403381 0.30861301 0.01750374 0.01750227 0.01750545 0.01750350 88.59291283 0.30730212 0.01742166 0.01742019 0.01742336 0.01742142 89.01179185 0.30600197 0.01734034 0.01733888 0.01734203 0.01734010 89.43067087 0.30471243 0.01725977 0.01725832 0.01726145 0.01725953 89.84954989 0.30343337 0.01717994 0.01717850 0.01718162 0.01717971 90.26842891 0.30216467 0.01710085 0.01709941 0.01710252 0.01710062 90.68730793 0.30090621 0.01702248 0.01702105 0.01702414 0.01702224 91.10618695 0.29965786 0.01694482 0.01694339 0.01694647 0.01694459 91.52506597 0.29841950 0.01686786 0.01686644 0.01686951 0.01686763 91.94394500 0.29719103 0.01679160 0.01679019 0.01679324 0.01679137 92.36282402 0.29597231 0.01671602 0.01671461 0.01671765 0.01671579 92.78170304 0.29476325 0.01664111 0.01663971 0.01664274 0.01664089 93.20058206 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