# omega total a= 2 L= 2 a= 3 L= 2 0.03141593 2.64640026 1.06036172 1.06036172 0.09424778 2.67560427 1.02588297 1.02588297 0.15707963 2.62894413 0.97685444 0.97685444 0.21991149 2.54231503 0.91781959 0.91781959 0.28274334 2.47099754 0.87078612 0.87078612 0.34557519 2.41129454 0.83191878 0.83191878 0.40840704 2.35537854 0.79685067 0.79685067 0.47123890 2.29975930 0.76329903 0.76329903 0.53407075 2.24822260 0.73260633 0.73260633 0.59690260 2.20235038 0.70530343 0.70530343 0.65973446 2.16064700 0.68052445 0.68052445 0.72256631 2.12184698 0.65746506 0.65746506 0.78539816 2.08569575 0.63589782 0.63589782 0.84823002 2.05208823 0.61574273 0.61574273 0.91106187 2.02121230 0.59707382 0.59707382 0.97389372 1.99319702 0.57994559 0.57994559 1.03672558 1.96767096 0.56417204 0.56417204 1.09955743 1.94399646 0.54942674 0.54942674 1.16238928 1.92172397 0.53547337 0.53547337 1.22522113 1.90070437 0.52223287 0.52223287 1.28805299 1.88092021 0.50969694 0.50969694 1.35088484 1.86232515 0.49784123 0.49784123 1.41371669 1.84480883 0.48660690 0.48660690 1.47654855 1.82824839 0.47592947 0.47592947 1.53938040 1.81255703 0.46576480 0.46576480 1.60221225 1.79768388 0.45608832 0.45608832 1.66504411 1.78358368 0.44687837 0.44687837 1.72787596 1.77019040 0.43810215 0.43810215 1.79070781 1.75741360 0.42971383 0.42971383 1.85353967 1.74515489 0.42166303 0.42166303 1.91637152 1.73333302 0.41390771 0.41390771 1.97920337 1.72190056 0.40642293 0.40642293 2.04203522 1.71084547 0.39920182 0.39920182 2.10486708 1.70017731 0.39224870 0.39224870 2.16769893 1.68990980 0.38557014 0.38557014 2.23053078 1.68004820 0.37916830 0.37916830 2.29336264 1.67058283 0.37303755 0.37303755 2.35619449 1.66149135 0.36716546 0.36716546 2.41902634 1.65274127 0.36153418 0.36153418 2.48185820 1.64429396 0.35612254 0.35612254 2.54469005 1.63610818 0.35090793 0.35090793 2.60752190 1.62814330 0.34586805 0.34586805 2.67035376 1.62036287 0.34098273 0.34098273 2.73318561 1.61273785 0.33623564 0.33623564 2.79601746 1.60524730 0.33161458 0.33161458 2.85884931 1.59787892 0.32711177 0.32711177 2.92168117 1.59062760 0.32272311 0.32272311 2.98451302 1.58349282 0.31844683 0.31844683 3.04734487 1.57647718 0.31428279 0.31428279 3.11017673 1.56958335 0.31023087 0.31023087 3.17300858 1.56281379 0.30629085 0.30629085 3.23584043 1.55616943 0.30246176 0.30246176 3.29867229 1.54964919 0.29874163 0.29874163 3.36150414 1.54325108 0.29512800 0.29512800 3.42433599 1.53697140 0.29161757 0.29161757 3.48716785 1.53080597 0.28820681 0.28820681 3.54999970 1.52474946 0.28489161 0.28489161 3.61283155 1.51879656 0.28166791 0.28166791 3.67566340 1.51294067 0.27853103 0.27853103 3.73849526 1.50717512 0.27547629 0.27547629 3.80132711 1.50149282 0.27249887 0.27249887 3.86415896 1.49588604 0.26959367 0.26959367 3.92699082 1.49034796 0.26675610 0.26675610 3.98982267 1.48487150 0.26398151 0.26398151 4.05265452 1.47945039 0.26126568 0.26126568 4.11548638 1.47407958 0.25860508 0.25860508 4.17831823 1.46875475 0.25599654 0.25599654 4.24115008 1.46347299 0.25343765 0.25343765 4.30398194 1.45823166 0.25092617 0.25092617 4.36681379 1.45302977 0.24846070 0.24846070 4.42964564 1.44786651 0.24603995 0.24603995 4.49247749 1.44274138 0.24366282 0.24366282 4.55530935 1.43765486 0.24132873 0.24132873 4.61814120 1.43260663 0.23903668 0.23903668 4.68097305 1.42759701 0.23678608 0.23678608 4.74380491 1.42262604 0.23457616 0.23457616 4.80663676 1.41769335 0.23240602 0.23240602 4.86946861 1.41279905 0.23027500 0.23027500 4.93230047 1.40794229 0.22818197 0.22818197 4.99513232 1.40312312 0.22612632 0.22612632 5.05796417 1.39834065 0.22410696 0.22410696 5.12079603 1.39359504 0.22212334 0.22212334 5.18362788 1.38888582 0.22017465 0.22017465 5.24645973 1.38421300 0.21826031 0.21826031 5.30929158 1.37957658 0.21637976 0.21637976 5.37212344 1.37497714 0.21453276 0.21453276 5.43495529 1.37041461 0.21271875 0.21271875 5.49778714 1.36588994 0.21093769 0.21093769 5.56061900 1.36140272 0.20918889 0.20918889 5.62345085 1.35695396 0.20747235 0.20747235 5.68628270 1.35254330 0.20578743 0.20578743 5.74911456 1.34817113 0.20413388 0.20413388 5.81194641 1.34383651 0.20251077 0.20251077 5.87477826 1.33953959 0.20091775 0.20091775 5.93761012 1.33527902 0.19935374 0.19935374 6.00044197 1.33105407 0.19781797 0.19781797 6.06327382 1.32686356 0.19630946 0.19630946 6.12610567 1.32270615 0.19482718 0.19482718 6.18893753 1.31858043 0.19337008 0.19337008 6.25176938 1.31448501 0.19193711 0.19193711 6.31460123 1.31041838 0.19052719 0.19052719 6.37743309 1.30637960 0.18913954 0.18913954 6.44026494 1.30236706 0.18777305 0.18777305 6.50309679 1.29837977 0.18642695 0.18642695 6.56592865 1.29441660 0.18510039 0.18510039 6.62876050 1.29047688 0.18379276 0.18379276 6.69159235 1.28655980 0.18250339 0.18250339 6.75442421 1.28266481 0.18123176 0.18123176 6.81725606 1.27879121 0.17997726 0.17997726 6.88008791 1.27493876 0.17873954 0.17873954 6.94291976 1.27110733 0.17751829 0.17751829 7.00575162 1.26729644 0.17631306 0.17631306 7.06858347 1.26350606 0.17512359 0.17512359 7.13141532 1.25973583 0.17394949 0.17394949 7.19424718 1.25598579 0.17279058 0.17279058 7.25707903 1.25225577 0.17164655 0.17164655 7.31991088 1.24854558 0.17051713 0.17051713 7.38274274 1.24485518 0.16940208 0.16940208 7.44557459 1.24118387 0.16830088 0.16830088 7.50840644 1.23753240 0.16721372 0.16721372 7.57123830 1.23389941 0.16613974 0.16613974 7.63407015 1.23028551 0.16507908 0.16507908 7.69690200 1.22669009 0.16403126 0.16403126 7.75973385 1.22311286 0.16299599 0.16299599 7.82256571 1.21955351 0.16197294 0.16197294 7.88539756 1.21601186 0.16096189 0.16096189 7.94822941 1.21248742 0.15996243 0.15996243 8.01106127 1.20897995 0.15897433 0.15897433 8.07389312 1.20548937 0.15799738 0.15799738 8.13672497 1.20201489 0.15703107 0.15703107 8.19955683 1.19855655 0.15607529 0.15607529 8.26238868 1.19511416 0.15512981 0.15512981 8.32522053 1.19168729 0.15419431 0.15419431 8.38805239 1.18827592 0.15326866 0.15326866 8.45088424 1.18487973 0.15235256 0.15235256 8.51371609 1.18149862 0.15144587 0.15144587 8.57654794 1.17813249 0.15054842 0.15054842 8.63937980 1.17478113 0.14966000 0.14966000 8.70221165 1.17144474 0.14878061 0.14878061 8.76504350 1.16812280 0.14790988 0.14790988 8.82787536 1.16481589 0.14704800 0.14704800 8.89070721 1.16152347 0.14619460 0.14619460 8.95353906 1.15824575 0.14534970 0.14534970 9.01637092 1.15498292 0.14451329 0.14451329 9.07920277 1.15173463 0.14368511 0.14368511 9.14203462 1.14850108 0.14286518 0.14286518 9.20486648 1.14528247 0.14205349 0.14205349 9.26769833 1.14207850 0.14124982 0.14124982 9.33053018 1.13888950 0.14045426 0.14045426 9.39336203 1.13571534 0.13966665 0.13966665 9.45619389 1.13255613 0.13888698 0.13888698 9.58185759 1.12628238 0.13735104 0.13735104 9.70752130 1.12006848 0.13584598 0.13584598 9.83318501 1.11391449 0.13437128 0.13437128 10.02168056 1.10479536 0.13221478 0.13221478 10.14734427 1.09879027 0.13081332 0.13081332 10.27300798 1.09284396 0.12943997 0.12943997 10.39867168 1.08695626 0.12809419 0.12809419 10.58716724 1.07823305 0.12612562 0.12612562 10.71283095 1.07248894 0.12484566 0.12484566 10.83849465 1.06680132 0.12359092 0.12359092 11.02699021 1.05837408 0.12175454 0.12175454 11.15265392 1.05282427 0.12055977 0.12055977 11.34114948 1.04460077 0.11881050 0.11881050 11.46681319 1.03918489 0.11767200 0.11767200 11.65530874 1.03115924 0.11600442 0.11600442 11.78097245 1.02587346 0.11491876 0.11491876 11.96946801 1.01804040 0.11332811 0.11332811 12.15796357 1.01032080 0.11178169 0.11178169 12.28362728 1.00523671 0.11077464 0.11077464 12.47212283 0.99770306 0.10929901 0.10929901 12.66061839 0.99027937 0.10786435 0.10786435 12.84911395 0.98296443 0.10646958 0.10646958 12.97477766 0.97814767 0.10556140 0.10556140 13.16327322 0.97101135 0.10423087 0.10423087 13.35176878 0.96398043 0.10293752 0.10293752 13.54026434 0.95705346 0.10168029 0.10168029 13.72875990 0.95022871 0.10045806 0.10045806 13.91725546 0.94350439 0.09926969 0.09926969 14.10575101 0.93687841 0.09811392 0.09811392 14.35707843 0.92819301 0.09662144 0.09662144 14.54557399 0.92178783 0.09553677 0.09553677 14.73406955 0.91547330 0.09448039 0.09448039 14.92256510 0.90924694 0.09345096 0.09345096 15.17389252 0.90107802 0.09211809 0.09211809 15.36238808 0.89504788 0.09114659 0.09114659 15.55088364 0.88909788 0.09019788 0.09019788 15.80221105 0.88128540 0.08896649 0.08896649 15.99070661 0.87551390 0.08806674 0.08806674 16.24203402 0.86793200 0.08689696 0.08689696 16.49336143 0.86047574 0.08575946 0.08575946 16.68185699 0.85496362 0.08492638 0.08492638 16.93318440 0.84771791 0.08384097 0.08384097 17.18451182 0.84058775 0.08278317 0.08278317 17.37300737 0.83531407 0.08200711 0.08200711 17.62433479 0.82837876 0.08099443 0.08099443 17.87566220 0.82155102 0.08000593 0.08000593 18.12698961 0.81482833 0.07904060 0.07904060 18.37831702 0.80820832 0.07809752 0.07809752 18.62964444 0.80168876 0.07717584 0.07717584 18.88097185 0.79526754 0.07627478 0.07627478 19.19513111 0.78737620 0.07517636 0.07517636 19.44645853 0.78116891 0.07431914 0.07431914 19.69778594 0.77505361 0.07348035 0.07348035 20.01194520 0.76753607 0.07245689 0.07245689 20.26327262 0.76162117 0.07165748 0.07165748 20.57743188 0.75434864 0.07068154 0.07068154 20.82875929 0.74862545 0.06991884 0.06991884 21.14291856 0.74158735 0.06898725 0.06898725 21.45707782 0.73467511 0.06807906 0.06807906 21.70840524 0.72923392 0.06736877 0.06736877 22.02256450 0.72254069 0.06650059 0.06650059 22.33672377 0.71596507 0.06565354 0.06565354 22.65088303 0.70950426 0.06482690 0.06482690 22.96504230 0.70315553 0.06401997 0.06401997 23.27920156 0.69691620 0.06323207 0.06323207 23.59336083 0.69078369 0.06246257 0.06246257 23.97035195 0.68356212 0.06156259 0.06156259 24.28451121 0.67765580 0.06083145 0.06083145 24.59867048 0.67184845 0.06011683 0.06011683 24.97566160 0.66500698 0.05928036 0.05928036 25.28982086 0.65940924 0.05860025 0.05860025 25.66681198 0.65281287 0.05780374 0.05780374 26.04380310 0.64634493 0.05702787 0.05702787 26.35796236 0.64105053 0.05639653 0.05639653 26.73495348 0.63480892 0.05565654 0.05565654 27.11194460 0.62868597 0.05493512 0.05493512 27.48893572 0.62267844 0.05423159 0.05423159 27.86592684 0.61678319 0.05354531 0.05354531 28.30574981 0.61004329 0.05276565 0.05276565 28.68274093 0.60438106 0.05211470 0.05211470 29.05973205 0.59882185 0.05147917 0.05147917 29.49955502 0.59246267 0.05075650 0.05075650 29.87654614 0.58711741 0.05015260 0.05015260 30.31636911 0.58100075 0.04946549 0.04946549 30.75619208 0.57500905 0.04879648 0.04879648 31.19601505 0.56913857 0.04814487 0.04814487 31.57300617 0.56420045 0.04759971 0.04759971 32.07566099 0.55774692 0.04689131 0.04689131 32.51548396 0.55221894 0.04628813 0.04628813 32.95530694 0.54679851 0.04569992 0.04569992 33.39512991 0.54148253 0.04512616 0.04512616 33.89778473 0.53553120 0.04448744 0.04448744 34.33760770 0.53042912 0.04394291 0.04394291 34.84026253 0.52471484 0.04333636 0.04333636 35.34291735 0.51912123 0.04274600 0.04274600 35.78274032 0.51432280 0.04224222 0.04224222 36.28539515 0.50894529 0.04168055 0.04168055 36.78804997 0.50367792 0.04113334 0.04113334 37.35353665 0.49787957 0.04053436 0.04053436 37.85619148 0.49283519 0.04001613 0.04001613 38.35884630 0.48789083 0.03951076 0.03951076 38.92433298 0.48244427 0.03895701 0.03895701 39.48981966 0.47711647 0.03841832 0.03841832 39.99247448 0.47247720 0.03795164 0.03795164 40.55796116 0.46736326 0.03743978 0.03743978 41.12344784 0.46235729 0.03694135 0.03694135 41.68893451 0.45745588 0.03645581 0.03645581 42.31725304 0.45212850 0.03593087 0.03593087 42.88273972 0.44743720 0.03547100 0.03547100 43.51105825 0.44233568 0.03497346 0.03497346 44.07654493 0.43784110 0.03453730 0.03453730 44.70486346 0.43295121 0.03406510 0.03406510 45.33318199 0.42816739 0.03360548 0.03360548 45.96150052 0.42348619 0.03315795 0.03315795 46.58981905 0.41890429 0.03272204 0.03272204 47.28096944 0.41397514 0.03225543 0.03225543 47.90928797 0.40959167 0.03184252 0.03184252 48.60043835 0.40487362 0.03140022 0.03140022 49.29158873 0.40026072 0.03096991 0.03096991 49.98273912 0.39574946 0.03055111 0.03055111 50.67388950 0.39133650 0.03014337 0.03014337 51.36503989 0.38701862 0.02974627 0.02974627 52.11902212 0.38241305 0.02932471 0.02932471 52.81017251 0.37828423 0.02894855 0.02894855 53.56415474 0.37387810 0.02854895 0.02854895 54.31813698 0.36957089 0.02816013 0.02816013 55.07211922 0.36535928 0.02778166 0.02778166 55.82610145 0.36124012 0.02741315 0.02741315 56.64291554 0.35687852 0.02702471 0.02702471 57.39689778 0.35294241 0.02667572 0.02667572 58.21371187 0.34877249 0.02630760 0.02630760 59.03052596 0.34469727 0.02594943 0.02594943 59.84734005 0.34071357 0.02560080 0.02560080 60.72698599 0.33652229 0.02523561 0.02523561 61.54380008 0.33271908 0.02490564 0.02490564 62.42344603 0.32871557 0.02455974 0.02455974 63.30309197 0.32480451 0.02422326 0.02422326 64.18273791 0.32098274 0.02389581 0.02389581 65.06238386 0.31724726 0.02357704 0.02357704 65.94202980 0.31359518 0.02326662 0.02326662 66.88450759 0.30977166 0.02294291 0.02294291 67.82698539 0.30603752 0.02262803 0.02262803 68.76946319 0.30238966 0.02232163 0.02232163 69.71194098 0.29882516 0.02202337 0.02202337 70.71725063 0.29511174 0.02171385 0.02171385 71.72256028 0.29148673 0.02141285 0.02141285 72.72786993 0.28794703 0.02112005 0.02112005 73.73317958 0.28448971 0.02083511 0.02083511 74.73848923 0.28111193 0.02055771 0.02055771 75.80663073 0.27760721 0.02027092 0.02027092 76.87477223 0.27418620 0.01999199 0.01999199 77.94291374 0.27084597 0.01972059 0.01972059 79.01105524 0.26758372 0.01945643 0.01945643 80.14202859 0.26421162 0.01918431 0.01918431 81.27300195 0.26092094 0.01891966 0.01891966 82.40397530 0.25770882 0.01866219 0.01866219 83.53494866 0.25457251 0.01841160 0.01841160 84.72875387 0.25134131 0.01815426 0.01815426 85.92255908 0.24818875 0.01790399 0.01790399 87.11636428 0.24511202 0.01766051 0.01766051 88.31016949 0.24210846 0.01742353 0.01742353 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