# omega total a= 1 L= 3 0.03141593 2.52391022 1.64813889 0.09424778 2.21780289 1.42324257 0.15707963 2.05833748 1.29221932 0.21991149 1.96674293 1.21076709 0.28274334 1.90495147 1.15192349 0.34557519 1.84584230 1.09518039 0.40840704 1.81815850 1.06512525 0.47123890 1.80258790 1.04697787 0.53407075 1.78772439 1.03025160 0.59690260 1.76614753 1.00759636 0.65973446 1.74751274 0.98734639 0.72256631 1.73301172 0.97129743 0.78539816 1.71703145 0.95422110 0.84823002 1.70471368 0.94078235 0.91106187 1.69480726 0.92997005 0.97389372 1.68411205 0.91850969 1.03672558 1.67209954 0.90584710 1.09955743 1.65981012 0.89316224 1.16238928 1.64827839 0.88142746 1.22522113 1.63870992 0.87162087 1.28805299 1.63009898 0.86276321 1.35088484 1.62102400 0.85357519 1.41371669 1.61173329 0.84427558 1.47654855 1.60283291 0.83538695 1.53938040 1.59426488 0.82689019 1.60221225 1.58530837 0.81812753 1.66504411 1.57580189 0.80889487 1.72787596 1.56646189 0.79982972 1.79070781 1.55795330 0.79157541 1.85353967 1.55024523 0.78413067 1.91637152 1.54268522 0.77689082 1.97920337 1.53461808 0.76923759 2.04203522 1.52605632 0.76117172 2.10486708 1.51758426 0.75322019 2.16769893 1.50963453 0.74576827 2.23053078 1.50212243 0.73872946 2.29336264 1.49473718 0.73182018 2.35619449 1.48731344 0.72490067 2.41902634 1.47986407 0.71799439 2.48185820 1.47243631 0.71114645 2.54469005 1.46505860 0.70437760 2.60752190 1.45777963 0.69772859 2.67035376 1.45068410 0.69127762 2.73318561 1.44384442 0.68509286 2.79601746 1.43727067 0.67918352 2.85884931 1.43091597 0.67350499 2.92168117 1.42471621 0.66799659 2.98451302 1.41860581 0.66259637 3.04734487 1.41250772 0.65723148 3.11017673 1.40633928 0.65182380 3.17300858 1.40005465 0.64632999 3.23584043 1.39368940 0.64078324 3.29867229 1.38735423 0.63528727 3.36150414 1.38117467 0.62995965 3.42433599 1.37522183 0.62486680 3.48716785 1.36948236 0.61999589 3.54999970 1.36387694 0.61527212 3.61283155 1.35830893 0.61060436 3.67566340 1.35270945 0.60592755 3.73849526 1.34705987 0.60122374 3.80132711 1.34138566 0.59651633 3.86415896 1.33573294 0.59184799 3.92699082 1.33014373 0.58725748 3.98982267 1.32464355 0.58276814 4.05265452 1.31924151 0.57838816 4.11548638 1.31393866 0.57411837 4.17831823 1.30873553 0.56995919 4.24115008 1.30363072 0.56590909 4.30398194 1.29861336 0.56195730 4.36681379 1.29365786 0.55807902 4.42964564 1.28872312 0.55423487 4.49247749 1.28376458 0.55038240 4.55530935 1.27874745 0.54648860 4.61814120 1.27366123 0.54254359 4.68097305 1.26852330 0.53856379 4.74380491 1.26337160 0.53458487 4.80663676 1.25825230 0.53065007 4.86946861 1.25320566 0.52679688 4.93230047 1.24825441 0.52304614 4.99513232 1.24340309 0.51940155 5.05796417 1.23863756 0.51584921 5.12079603 1.23393531 0.51236738 5.18362788 1.22927048 0.50893123 5.24645973 1.22462409 0.50552241 5.30929158 1.21998684 0.50213176 5.37212344 1.21536085 0.49876083 5.43495529 1.21075858 0.49542098 5.49778714 1.20619755 0.49212833 5.56061900 1.20169589 0.48889963 5.62345085 1.19726734 0.48574754 5.68628270 1.19291903 0.48267854 5.74911456 1.18865015 0.47969162 5.81194641 1.18445316 0.47677953 5.87477826 1.18031594 0.47393062 5.93761012 1.17622501 0.47113203 6.00044197 1.17216655 0.46837051 6.06327382 1.16812961 0.46563552 6.12610567 1.16410486 0.46291800 6.18893753 1.16008576 0.46021152 6.25176938 1.15606711 0.45751088 6.31460123 1.15204599 0.45481306 6.37743309 1.14802013 0.45211559 6.44026494 1.14398999 0.44941859 6.50309679 1.13995847 0.44672451 6.56592865 1.13593049 0.44403762 6.62876050 1.13191424 0.44136535 6.69159235 1.12791820 0.43871535 6.75442421 1.12395288 0.43609724 6.81725606 1.12002537 0.43351744 6.88008791 1.11614314 0.43098270 6.94291976 1.11230828 0.42849481 7.00575162 1.10852037 0.42605316 7.06858347 1.10477615 0.42365455 7.13141532 1.10106853 0.42129213 7.19424718 1.09739094 0.41895960 7.25707903 1.09373478 0.41664870 7.31991088 1.09009276 0.41435245 7.38274274 1.08645922 0.41206534 7.44557459 1.08282896 0.40978236 7.50840644 1.07920026 0.40750171 7.57123830 1.07557142 0.40522165 7.63407015 1.07194237 0.40294197 7.69690200 1.06831617 0.40066540 7.75973385 1.06469310 0.39839209 7.82256571 1.06107772 0.39612619 7.88539756 1.05747126 0.39386877 7.94822941 1.05387869 0.39162437 8.01106127 1.05030154 0.38939434 8.07389312 1.04674495 0.38718341 8.13672497 1.04321049 0.38499295 8.19955683 1.03970169 0.38282620 8.26238868 1.03622150 0.38068580 8.32522053 1.03277216 0.37857378 8.38805239 1.02935656 0.37649276 8.45088424 1.02597688 0.37444467 8.51371609 1.02263470 0.37243090 8.57654794 1.01933175 0.37045299 8.63937980 1.01606890 0.36851163 8.70221165 1.01284700 0.36660753 8.76504350 1.00966595 0.36474050 8.82787536 1.00652515 0.36290988 8.89070721 1.00342367 0.36111466 8.95353906 1.00036004 0.35935339 9.01637092 0.99733273 0.35762454 9.07920277 0.99434019 0.35592654 9.14203462 0.99138020 0.35425726 9.20486648 0.98845039 0.35261437 9.26769833 0.98554942 0.35099656 9.33053018 0.98267550 0.34940208 9.39336203 0.97982648 0.34782888 9.45619389 0.97700124 0.34627584 9.58185759 0.97141695 0.34322531 9.70752130 0.96591413 0.34024228 9.77035315 0.96319112 0.33877401 9.89601686 0.95779882 0.33588097 10.02168056 0.95247525 0.33304309 10.14734427 0.94721776 0.33025775 10.27300798 0.94202333 0.32752194 10.39867168 0.93688969 0.32483340 10.52433539 0.93181541 0.32219060 10.64999910 0.92679843 0.31959147 10.77566280 0.92183695 0.31703418 10.90132651 0.91692942 0.31451716 11.02699021 0.91207340 0.31203799 11.15265392 0.90726680 0.30959465 11.27831763 0.90250742 0.30718498 11.40398133 0.89779289 0.30480672 11.52964504 0.89312097 0.30245770 11.65530874 0.88848963 0.30013599 11.78097245 0.88389720 0.29784001 11.96946801 0.87707870 0.29444158 12.09513172 0.87257856 0.29220514 12.22079542 0.86811431 0.28999155 12.34645913 0.86368584 0.28780069 12.53495469 0.85711033 0.28455716 12.66061839 0.85277168 0.28242353 12.78628210 0.84846927 0.28031310 12.97477766 0.84208399 0.27719137 13.10044137 0.83787286 0.27513969 13.28893692 0.83162484 0.27210655 13.41460063 0.82750532 0.27011414 13.60309619 0.82139469 0.26717005 13.72875990 0.81736655 0.26523695 13.91725546 0.81139245 0.26238155 14.04291916 0.80745487 0.26050729 14.23141472 0.80161562 0.25773949 14.41991028 0.79585604 0.25502335 14.54557399 0.79206005 0.25324088 14.73406955 0.78643071 0.25060890 14.92256510 0.78087778 0.24802606 15.11106066 0.77539985 0.24549128 15.29955622 0.76999549 0.24300343 15.42521993 0.76643275 0.24137040 15.61371549 0.76114783 0.23895829 15.80221105 0.75593267 0.23659015 15.99070661 0.75078589 0.23426489 16.17920217 0.74570611 0.23198147 16.36769773 0.74069201 0.22973885 16.55619328 0.73574228 0.22753604 16.74468884 0.73085564 0.22537207 16.99601626 0.72443614 0.22254556 17.18451182 0.71969197 0.22046858 17.37300737 0.71500688 0.21842740 17.56150293 0.71037973 0.21642115 17.81283035 0.70429841 0.21379908 18.00132591 0.69980219 0.21187116 18.18982146 0.69536032 0.20997551 18.44114888 0.68952062 0.20749685 18.62964444 0.68520165 0.20567357 18.88097185 0.67952229 0.20328881 19.06946741 0.67532102 0.20153407 19.32079482 0.66979527 0.19923829 19.50929038 0.66570678 0.19754851 19.76061779 0.66032829 0.19533708 20.01194520 0.65503124 0.19317190 20.20044076 0.65111077 0.19157754 20.45176817 0.64595175 0.18949006 20.70309559 0.64086914 0.18744523 20.95442300 0.63586121 0.18544182 21.20575041 0.63092631 0.18347865 21.45707782 0.62606282 0.18155459 21.70840524 0.62126917 0.17966853 21.95973265 0.61654386 0.17781943 22.21106006 0.61188540 0.17600626 22.46238747 0.60729238 0.17422803 22.71371489 0.60276342 0.17248378 23.02787415 0.59719024 0.17034987 23.27920156 0.59280054 0.16867876 23.53052898 0.58847067 0.16703876 23.84468824 0.58314061 0.16503124 24.09601565 0.57894095 0.16345823 24.41017492 0.57376998 0.16153199 24.66150233 0.56969474 0.16002211 24.97566160 0.56467585 0.15817248 25.28982086 0.55973859 0.15636352 25.54114827 0.55584623 0.15494479 25.85530754 0.55105099 0.15320586 26.16946680 0.54633207 0.15150415 26.48362607 0.54168767 0.14983852 26.79778534 0.53711607 0.14820787 27.11194460 0.53261561 0.14661115 27.42610387 0.52818468 0.14504735 27.74026313 0.52382171 0.14351549 28.05442240 0.51952520 0.14201464 28.43141351 0.51445503 0.14025329 28.74557278 0.51029960 0.13881754 29.05973205 0.50620609 0.13741002 29.43672316 0.50137372 0.13575716 29.75088243 0.49741177 0.13440900 30.12787355 0.49273360 0.13282517 30.50486467 0.48813655 0.13127725 30.81902393 0.48436617 0.13001389 31.19601505 0.47991263 0.12852876 31.57300617 0.47553465 0.12707634 31.94999729 0.47123039 0.12565556 32.32698841 0.46699807 0.12426543 32.70397952 0.46283597 0.12290500 33.08097064 0.45874242 0.12157334 33.45796176 0.45471581 0.12026957 33.89778473 0.45010062 0.11878262 34.27477585 0.44621374 0.11753640 34.65176697 0.44238900 0.11631550 35.09158994 0.43800348 0.11492211 35.46858106 0.43430859 0.11375353 35.90840403 0.43007086 0.11241926 36.34822700 0.42590977 0.11111531 36.78804997 0.42182335 0.10984067 37.16504109 0.41837869 0.10877074 37.60486406 0.41442594 0.10754804 38.10751889 0.40999337 0.10618330 38.54734186 0.40618720 0.10501675 38.98716483 0.40244679 0.10387511 39.42698780 0.39877051 0.10275762 39.92964263 0.39464558 0.10150908 40.36946560 0.39110154 0.10044084 40.87212042 0.38712384 0.09924677 41.31194339 0.38370533 0.09822465 41.81459822 0.37986745 0.09708161 42.31725304 0.37610128 0.09596447 42.81990787 0.37240489 0.09487238 43.32256269 0.36877646 0.09380452 43.82521752 0.36521421 0.09276010 44.32787234 0.36171641 0.09173837 44.89335902 0.35785637 0.09061513 45.39601384 0.35449010 0.08963924 45.89866867 0.35118327 0.08868388 46.46415535 0.34753227 0.08763284 47.02964202 0.34395257 0.08660612 47.59512870 0.34044216 0.08560289 48.16061538 0.33699913 0.08462236 48.72610206 0.33362165 0.08366378 49.29158873 0.33030793 0.08272644 49.85707541 0.32705626 0.08180963 50.42256209 0.32386497 0.08091271 51.05088062 0.32038796 0.07993867 51.61636730 0.31731896 0.07908167 52.24468583 0.31397407 0.07815053 52.87300436 0.31069583 0.07724085 53.50132289 0.30748233 0.07635191 54.12964142 0.30433175 0.07548300 54.75795995 0.30124232 0.07463348 55.38627848 0.29821233 0.07380269 56.07742887 0.29494606 0.07290975 56.70574740 0.29203565 0.07211637 57.39689778 0.28889716 0.07126319 58.08804816 0.28582272 0.07042981 58.71636670 0.28308178 0.06968879 59.40751708 0.28012448 0.06889133 60.16149932 0.27696532 0.06804177 60.85264970 0.27412903 0.06728108 61.54380008 0.27134809 0.06653708 62.29778232 0.26837563 0.06574385 63.05176456 0.26546525 0.06496918 63.74291494 0.26285034 0.06427482 64.49689718 0.26005379 0.06353396 65.25087942 0.25731408 0.06280987 66.06769350 0.25440826 0.06204372 66.82167574 0.25178167 0.06135280 67.63848983 0.24899472 0.06062136 68.39247207 0.24647460 0.05996140 69.20928616 0.24379957 0.05926238 70.02610025 0.24118017 0.05857937 70.84291434 0.23861473 0.05791185 71.72256028 0.23591045 0.05720969 72.53937437 0.23345200 0.05657268 73.41902031 0.23085944 0.05590227 74.23583440 0.22850161 0.05529375 75.11548035 0.22601415 0.05465299 75.99512629 0.22357875 0.05402684 76.93760409 0.22102538 0.05337161 77.81725003 0.21869288 0.05277419 78.75972783 0.21624634 0.05214869 79.70220562 0.21385250 0.05153777 80.58185156 0.21166436 0.05098031 81.58716121 0.20921643 0.05035772 82.52963901 0.20697110 0.04978765 83.47211681 0.20477227 0.04923029 84.47742646 0.20247654 0.04864931 85.48273610 0.20023049 0.04808183 86.48804575 0.19803258 0.04752738 87.49335540 0.19588130 0.04698553 88.56149690 0.19364504 0.04642313 89.56680655 0.19158546 0.04590594 90.63494806 0.18944358 0.04536886 91.70308956 0.18734804 0.04484416 92.77123106 0.18529739 0.04433142 93.90220442 0.18317349 0.04380110 94.97034592 0.18121091 0.04331173 96.10131927 0.17917731 0.04280531 97.23229263 0.17718796 0.04231057 98.36326598 0.17524146 0.04182710 99.55707119 0.17323182 0.04132857 100.75087640 0.17126690 0.04084177 101.88184976 0.16944534 0.04039101 103.13848682 0.16746551 0.03990167 104.33229203 0.16562630 0.03944762 105.52609723 0.16382637 0.03900377 106.78273430 0.16197278 0.03854719 108.03937136 0.16015998 0.03810116 109.35884027 0.15829900 0.03764377 110.61547733 0.15656578 0.03721823 111.93494625 0.15478565 0.03678162 113.25441516 0.15304493 0.03635512 114.57388408 0.15134234 0.03593837 115.95618484 0.14959824 0.03551189 117.27565376 0.14796998 0.03511410 118.65795453 0.14630124 0.03470680 120.10308715 0.14459586 0.03429095 121.48538791 0.14300092 0.03390238 122.93052053 0.14137018 0.03350544 124.37565316 0.13977573 0.03311767 125.82078578 0.13821639 0.03273875 127.32875025 0.13662546 0.03235248 128.83671472 0.13507028 0.03197521 130.34467920 0.13354969 0.03160661 131.91547552 0.13200130 0.03123158 133.42344000 0.13054786 0.03087981 134.99423632 0.12906713 0.03052170 136.62786450 0.12756200 0.03015796 138.19866083 0.12614713 0.02981628 139.83228901 0.12470823 0.02946903 141.52874904 0.12324797 0.02911688 143.16237722 0.12187342 0.02878563 144.85883726 0.12047776 0.02844950 146.55529729 0.11911339 0.02812113 148.31458918 0.11773044 0.02778850 150.07388106 0.11637893 0.02746363 151.83317295 0.11505781 0.02714626 153.59246483 0.11376608 0.02683613 155.41458857 0.11245817 0.02652230 157.23671231 0.11117974 0.02621572 159.12166790 0.10988719 0.02590592 161.00662350 0.10862410 0.02560336 162.89157909 0.10738948 0.02530777 164.77653468 0.10618239 0.02501892 166.72432213 0.10496303 0.02472728 168.73494142 0.10373313 0.02443327 170.68272887 0.10256864 0.02415504 172.69334817 0.10139350 0.02387439 174.76679932 0.10020931 0.02359171 176.84025047 0.09905226 0.02331565 178.91370162 0.09792144 0.02304596 180.98715277 0.09681598 0.02278243 183.12343578 0.09570266 0.02251715 185.32255064 0.09458285 0.02225043 187.45883364 0.09351969 0.02199731 189.72078035 0.09241958 0.02173549 191.91989521 0.09137441 0.02148686 194.18184192 0.09032361 0.02123698 196.50662048 0.08926837 0.02098614 198.83139905 0.08823737 0.02074115 201.15617761 0.08722978 0.02050181 203.54378803 0.08621850 0.02026168 205.93139844 0.08523028 0.02002711 208.38184071 0.08423921 0.01979195 210.83228298 0.08327082 0.01956224 213.28272525 0.08232433 0.01933780 215.79599938 0.08137556 0.01911290 218.37210535 0.08042539 0.01888773 220.94821133 0.07949706 0.01866781 223.52431730 0.07858982 0.01845295 226.16325513 0.07768158 0.01823791 228.86502481 0.07677312 0.01802289 231.56679450 0.07588558 0.01781288 234.26856418 0.07501824 0.01760771 237.03316571 0.07415094 0.01740260 239.79776725 0.07330338 0.01720221 242.68803249 0.07243770 0.01699760 245.51546588 0.07161033 0.01680209 248.40573112 0.07078381 0.01660684 251.35882821 0.06995874 0.01641197 254.31192531 0.06915261 0.01622163 257.32785426 0.06834823 0.01603174 260.34378320 0.06756228 0.01584625 263.42254400 0.06677834 0.01566128 266.50130480 0.06601232 0.01548058 269.64289746 0.06524853 0.01530044 272.84732196 0.06448741 0.01512097 276.05174647 0.06374379 0.01494567 279.31900283 0.06300301 0.01477108 282.58625919 0.06227920 0.01460052 285.91634740 0.06155834 0.01443070 289.30926747 0.06084081 0.01426169 292.70218753 0.06013977 0.01409660 296.15793945 0.05944214 0.01393234 299.67652323 0.05874822 0.01376899 303.19510700 0.05807028 0.01360944 306.77652262 0.05739608 0.01345079 310.42077010 0.05672590 0.01329311 314.06501758 0.05607117 0.01313910