# omega total a= 1 L= 3 0.03141593 0.04598671 0.01916556 0.09424778 0.10518524 0.04801006 0.15707963 0.16363902 0.07636018 0.21991149 0.22093746 0.10393763 0.28274334 0.27672233 0.13050311 0.34557519 0.33071146 0.15587477 0.40840704 0.38266683 0.17990124 0.47123890 0.43242398 0.20248577 0.53407075 0.47988101 0.22357706 0.59690260 0.52499187 0.24316412 0.65973446 0.56775658 0.26126853 0.72256631 0.60821565 0.27794044 0.78539816 0.64644207 0.29325249 0.84823002 0.68253062 0.30729157 0.91106187 0.71658759 0.32015077 0.97389372 0.74872334 0.33192357 1.03672558 0.77904900 0.34270161 1.09955743 0.80767120 0.35257055 1.16238928 0.83468855 0.36160748 1.22522113 0.86019241 0.36988178 1.28805299 0.88426749 0.37745593 1.35088484 0.90699188 0.38438573 1.41371669 0.92843819 0.39072152 1.47654855 0.94867531 0.39650987 1.53938040 0.96777048 0.40179557 1.60221225 0.98579008 0.40662253 1.66504411 1.00279936 0.41103369 1.72787596 1.01886210 0.41507083 1.79070781 1.03403950 0.41877378 1.85353967 1.04838833 0.42217871 1.91637152 1.06195925 0.42531682 1.97920337 1.07479626 0.42821374 2.04203522 1.08693684 0.43088963 2.10486708 1.09841238 0.43335956 2.16769893 1.10924869 0.43563391 2.23053078 1.11946647 0.43771870 2.29336264 1.12908213 0.43961638 2.35619449 1.13810904 0.44132682 2.41902634 1.14655869 0.44284840 2.48185820 1.15444207 0.44417924 2.54469005 1.16177087 0.44531829 2.60752190 1.16855891 0.44626665 2.67035376 1.17482286 0.44702825 2.73318561 1.18058312 0.44761071 2.79601746 1.18586374 0.44802530 2.85884931 1.19069235 0.44828694 2.92168117 1.19509935 0.44841346 2.98451302 1.19911684 0.44842471 3.04734487 1.20277720 0.44834122 3.11017673 1.20611151 0.44818278 3.17300858 1.20914816 0.44796712 3.23584043 1.21191175 0.44770891 3.29867229 1.21442242 0.44741903 3.36150414 1.21669556 0.44710431 3.42433599 1.21874201 0.44676765 3.48716785 1.22056846 0.44640834 3.54999970 1.22217798 0.44602252 3.61283155 1.22357097 0.44560403 3.67566340 1.22474588 0.44514507 3.73849526 1.22570027 0.44463713 3.80132711 1.22643166 0.44407182 3.86415896 1.22693849 0.44344171 3.92699082 1.22722073 0.44274097 3.98982267 1.22728064 0.44196600 4.05265452 1.22712285 0.44111561 4.11548638 1.22675464 0.44019121 4.17831823 1.22618575 0.43919668 4.24115008 1.22542795 0.43813802 4.30398194 1.22449465 0.43702293 4.36681379 1.22340026 0.43586024 4.42964564 1.22215947 0.43465928 4.49247749 1.22078667 0.43342929 4.55530935 1.21929529 0.43217881 4.61814120 1.21769729 0.43091521 4.68097305 1.21600274 0.42964425 4.74380491 1.21421958 0.42836987 4.80663676 1.21235341 0.42709401 4.86946861 1.21040767 0.42581667 4.93230047 1.20838369 0.42453604 4.99513232 1.20628118 0.42324886 5.05796417 1.20409864 0.42195087 5.12079603 1.20183392 0.42063725 5.18362788 1.19948482 0.41930322 5.24645973 1.19704966 0.41794455 5.30929158 1.19452774 0.41655800 5.37212344 1.19191969 0.41514167 5.43495529 1.18922769 0.41369515 5.49778714 1.18645539 0.41221953 5.56061900 1.18360783 0.41071724 5.62345085 1.18069103 0.40919180 5.68628270 1.17771160 0.40764734 5.74911456 1.17467627 0.40608819 5.81194641 1.17159144 0.40451848 5.87477826 1.16846268 0.40294170 5.93761012 1.16529451 0.40136038 6.00044197 1.16209021 0.39977602 6.06327382 1.15885195 0.39818911 6.12610567 1.15558075 0.39659917 6.18893753 1.15227688 0.39500502 6.25176938 1.14894024 0.39340521 6.31460123 1.14557078 0.39179835 6.37743309 1.14216890 0.39018352 6.44026494 1.13873577 0.38856054 6.50309679 1.13527362 0.38693026 6.56592865 1.13178579 0.38529461 6.62876050 1.12827667 0.38365650 6.69159235 1.12475148 0.38201971 6.75442421 1.12121601 0.38038854 6.81725606 1.11767619 0.37876751 6.88008791 1.11413770 0.37716092 6.94291976 1.11060560 0.37557257 7.00575162 1.10708412 0.37400551 7.06858347 1.10357638 0.37246180 7.13141532 1.10008440 0.37094250 7.19424718 1.09660902 0.36944764 7.25707903 1.09315009 0.36797634 7.31991088 1.08970669 0.36652704 7.38274274 1.08627734 0.36509769 7.44557459 1.08286021 0.36368592 7.50840644 1.07945333 0.36228929 7.57123830 1.07605488 0.36090549 7.63407015 1.07266328 0.35953248 7.69690200 1.06927730 0.35816857 7.75973385 1.06589591 0.35681225 7.82256571 1.06251841 0.35546239 7.88539756 1.05914429 0.35411801 7.94822941 1.05577311 0.35277825 8.01106127 1.05240437 0.35144218 8.07389312 1.04903741 0.35010878 8.13672497 1.04567136 0.34877684 8.19955683 1.04230511 0.34744491 8.26238868 1.03893738 0.34611145 8.32522053 1.03556683 0.34477486 8.38805239 1.03219200 0.34343343 8.45088424 1.02881179 0.34208580 8.51371609 1.02542531 0.34073082 8.57654794 1.02203224 0.33936789 8.63937980 1.01863288 0.33799699 8.70221165 1.01522818 0.33661870 8.76504350 1.01181978 0.33523428 8.82787536 1.00841003 0.33384562 8.89070721 1.00500171 0.33245507 8.95353906 1.00159797 0.33106531 9.01637092 0.99820212 0.32967917 9.07920277 0.99481741 0.32829944 9.14203462 0.99144686 0.32692874 9.20486648 0.98809316 0.32556935 9.26769833 0.98475850 0.32422313 9.33053018 0.98144453 0.32289145 9.39336203 0.97815242 0.32157522 9.45619389 0.97488277 0.32027485 9.58185759 0.96841107 0.31772135 9.70752130 0.96202647 0.31522721 9.77035315 0.95886488 0.31400030 9.89601686 0.95259833 0.31158188 10.02168056 0.94640115 0.30920433 10.14734427 0.94026709 0.30686125 10.27300798 0.93419178 0.30454798 10.39867168 0.92817275 0.30226176 10.52433539 0.92220915 0.30000135 10.64999910 0.91630128 0.29776662 10.77566280 0.91044988 0.29555792 10.90132651 0.90465593 0.29337587 11.02699021 0.89892027 0.29122100 11.15265392 0.89324336 0.28909353 11.27831763 0.88762529 0.28699339 11.40398133 0.88206583 0.28492022 11.52964504 0.87656447 0.28287347 11.65530874 0.87112054 0.28085248 11.78097245 0.86573335 0.27885656 11.96946801 0.85775746 0.27590840 12.09513172 0.85250929 0.27397272 12.22079542 0.84731586 0.27206043 12.34645913 0.84217673 0.27017125 12.53495469 0.83456907 0.26738030 12.66061839 0.82956408 0.26554790 12.78628210 0.82461197 0.26373778 12.97477766 0.81728176 0.26106362 13.10044137 0.81245932 0.25930760 13.28893692 0.80532039 0.25671255 13.41460063 0.80062312 0.25500777 13.60309619 0.79366830 0.25248719 13.72875990 0.78909134 0.25083050 13.91725546 0.78231341 0.24837989 14.04291916 0.77785214 0.24676852 14.23141472 0.77124462 0.24438416 14.41991028 0.76473658 0.24203811 14.54557399 0.76045221 0.24049492 14.73406955 0.75410582 0.23821081 14.92256510 0.74785408 0.23596286 15.11106066 0.74169532 0.23375041 15.29955622 0.73562791 0.23157280 15.42521993 0.73163292 0.23014011 15.61371549 0.72571417 0.22801921 15.80221105 0.71988251 0.22593152 15.99070661 0.71413637 0.22387646 16.17920217 0.70847421 0.22185344 16.36769773 0.70289447 0.21986188 16.55619328 0.69739566 0.21790119 16.74468884 0.69197627 0.21597082 16.99601626 0.68487140 0.21344316 17.18451182 0.67963161 0.21158132 17.37300737 0.67446640 0.20974795 17.56150293 0.66937436 0.20794248 17.81283035 0.66269640 0.20557771 18.00132591 0.65776976 0.20383535 18.18982146 0.65291177 0.20211916 18.44114888 0.64653902 0.19987077 18.62964444 0.64183623 0.19821373 18.88097185 0.63566585 0.19604246 19.06946741 0.63111150 0.19444197 19.32079482 0.62513471 0.19234441 19.50929038 0.62072236 0.19079797 19.76061779 0.61493077 0.18877088 20.01194520 0.60924140 0.18678266 20.20044076 0.60503994 0.18531640 20.45176817 0.59952343 0.18339386 20.70309559 0.59410237 0.18150754 20.95442300 0.58877443 0.17965655 21.20575041 0.58353734 0.17784001 21.45707782 0.57838890 0.17605705 21.70840524 0.57332698 0.17430684 21.95973265 0.56834949 0.17258857 22.21106006 0.56345443 0.17090145 22.46238747 0.55863984 0.16924471 22.71371489 0.55390382 0.16761761 23.02787415 0.54809148 0.16562431 23.27920156 0.54352558 0.16406127 23.53052898 0.53903244 0.16252559 23.84468824 0.53351579 0.16064346 24.09601565 0.52918031 0.15916695 24.41017492 0.52385568 0.15735678 24.66150233 0.51966991 0.15593629 24.97566160 0.51452769 0.15419430 25.28982086 0.50948288 0.15248864 25.54114827 0.50551535 0.15114956 25.85530754 0.50063918 0.14950665 26.16946680 0.49585314 0.14789721 26.48362607 0.49115481 0.14632028 26.79778534 0.48654184 0.14477495 27.11194460 0.48201199 0.14326033 27.42610387 0.47756306 0.14177555 27.74026313 0.47319294 0.14031980 28.05442240 0.46889961 0.13889227 28.43141351 0.46384619 0.13721541 28.74557278 0.45971493 0.13584730 29.05973205 0.45565438 0.13450504 29.43672316 0.45087256 0.13292748 29.75088243 0.44696141 0.13163969 30.12787355 0.44235402 0.13012559 30.50486467 0.43783783 0.12864458 30.81902393 0.43414211 0.12743493 31.19601505 0.42978635 0.12601192 31.57300617 0.42551457 0.12461919 31.94999729 0.42132441 0.12325581 32.32698841 0.41721356 0.12192089 32.70397952 0.41317985 0.12061359 33.08097064 0.40922114 0.11933309 33.45796176 0.40533539 0.11807859 33.89778473 0.40089160 0.11664687 34.27477585 0.39715726 0.11544616 34.65176697 0.39348988 0.11426916 35.09158994 0.38929355 0.11292504 35.46858106 0.38576528 0.11179711 35.90840403 0.38172669 0.11050852 36.34822700 0.37776944 0.10924846 36.78804997 0.37389113 0.10801601 37.16504109 0.37062794 0.10698095 37.60486406 0.36689017 0.10579751 38.10751889 0.36270720 0.10447584 38.54734186 0.35912244 0.10334550 38.98716483 0.35560594 0.10223875 39.42698780 0.35215579 0.10115488 39.92964263 0.34829166 0.09994332 40.36946560 0.34497760 0.09890622 40.87212042 0.34126446 0.09774642 41.31194339 0.33807869 0.09675319 41.81459822 0.33450797 0.09564198 42.31725304 0.33100994 0.09455547 42.81990787 0.32758241 0.09349285 43.32256269 0.32422330 0.09245338 43.82521752 0.32093062 0.09143630 44.32787234 0.31770244 0.09044093 44.89335902 0.31414553 0.08934624 45.39601384 0.31104834 0.08839478 45.89866867 0.30801009 0.08746299 46.46415535 0.30466046 0.08643753 47.02964202 0.30138109 0.08543541 47.59512870 0.29816983 0.08445587 48.16061538 0.29502460 0.08349816 48.72610206 0.29194341 0.08256157 49.29158873 0.28892436 0.08164542 49.85707541 0.28596560 0.08074907 50.42256209 0.28306538 0.07987189 51.05088062 0.27990950 0.07891899 51.61636730 0.27712735 0.07808034 52.24468583 0.27409872 0.07716887 52.87300436 0.27113403 0.07627814 53.50132289 0.26823131 0.07540747 54.12964142 0.26538866 0.07455618 54.75795995 0.26260426 0.07372366 55.38627848 0.25987636 0.07290929 56.07742887 0.25693892 0.07203376 56.70574740 0.25432428 0.07125566 57.39689778 0.25150760 0.07041870 58.08804816 0.24875127 0.06960095 58.71636670 0.24629627 0.06887367 59.40751708 0.24364994 0.06809082 60.16149932 0.24082575 0.06725662 60.85264970 0.23829260 0.06650952 61.54380008 0.23581106 0.06577865 62.29778232 0.23316098 0.06499926 63.05176456 0.23056856 0.06423794 63.74291494 0.22824128 0.06355540 64.49689718 0.22575433 0.06282702 65.25087942 0.22331990 0.06211499 66.06769350 0.22073998 0.06136144 66.82167574 0.21840983 0.06068177 67.63848983 0.21593930 0.05996210 68.39247207 0.21370694 0.05931265 69.20928616 0.21133906 0.05862463 70.02610025 0.20902208 0.05795227 70.84291434 0.20675441 0.05729504 71.72256028 0.20436566 0.05660359 72.53937437 0.20219554 0.05597620 73.41902031 0.19990851 0.05531581 74.23583440 0.19782984 0.05471628 75.11548035 0.19563823 0.05408491 75.99512629 0.19349380 0.05346784 76.93760409 0.19124685 0.05282203 77.81725003 0.18919546 0.05223310 78.75972783 0.18704500 0.05161641 79.70220562 0.18494205 0.05101403 80.58185156 0.18302082 0.05046427 81.58716121 0.18087262 0.04985022 82.52963901 0.17890325 0.04928789 83.47211681 0.17697562 0.04873803 84.47742646 0.17496402 0.04816480 85.48273610 0.17299692 0.04760483 86.48804575 0.17107288 0.04705765 87.49335540 0.16919052 0.04652284 88.56149690 0.16723470 0.04596771 89.56680655 0.16543417 0.04545713 90.63494806 0.16356250 0.04492686 91.70308956 0.16173209 0.04440877 92.77123106 0.15994162 0.04390243 93.90220442 0.15808793 0.04337869 94.97034592 0.15637571 0.04289533 96.10131927 0.15460219 0.04239510 97.23229263 0.15286791 0.04190635 98.36326598 0.15117160 0.04142870 99.55707119 0.14942088 0.04093614 100.75087640 0.14770974 0.04045510 101.88184976 0.14612396 0.04000966 103.13848682 0.14440096 0.03952605 104.33229203 0.14280086 0.03907728 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0.10248183 0.02787235 148.31458918 0.10128680 0.02754303 150.07388106 0.10011912 0.02722138 151.83317295 0.09897787 0.02690715 153.59246483 0.09786216 0.02660007 155.41458857 0.09673264 0.02628931 157.23671231 0.09562872 0.02598573 159.12166790 0.09451277 0.02567895 161.00662350 0.09342240 0.02537931 162.89157909 0.09235674 0.02508658 164.77653468 0.09131498 0.02480051 166.72432213 0.09026274 0.02451167 168.73494142 0.08920155 0.02422048 170.68272887 0.08819691 0.02394490 172.69334817 0.08718319 0.02366692 174.76679932 0.08616178 0.02338692 176.84025047 0.08516390 0.02311347 178.91370162 0.08418874 0.02284632 180.98715277 0.08323554 0.02258527 183.12343578 0.08227566 0.02232247 185.32255064 0.08131029 0.02205825 187.45883364 0.08039384 0.02180749 189.72078035 0.07944563 0.02154811 191.91989521 0.07854485 0.02130178 194.18184192 0.07763931 0.02105421 196.50662048 0.07673002 0.02080568 198.83139905 0.07584169 0.02056295 201.15617761 0.07497361 0.02032581 203.54378803 0.07410242 0.02008789 205.93139844 0.07325116 0.01985546 208.38184071 0.07239752 0.01962245 210.83228298 0.07156347 0.01939483 213.28272525 0.07074835 0.01917244 215.79599938 0.06993132 0.01894957 218.37210535 0.06911315 0.01872645 220.94821133 0.06831384 0.01850851 223.52431730 0.06753274 0.01829559 226.16325513 0.06675084 0.01808250 228.86502481 0.06596880 0.01786941 231.56679450 0.06520481 0.01766129 234.26856418 0.06445826 0.01745795 237.03316571 0.06371179 0.01725468 239.79776725 0.06298236 0.01705610 242.68803249 0.06223737 0.01685331 245.51546588 0.06152539 0.01665955 248.40573112 0.06081419 0.01646603 251.35882821 0.06010427 0.01627290 254.31192531 0.05941069 0.01608425 257.32785426 0.05871864 0.01589606 260.34378320 0.05804250 0.01571221 263.42254400 0.05736811 0.01552888 266.50130480 0.05670917 0.01534978 269.64289746 0.05605219 0.01517125 272.84732196 0.05539753 0.01499337 276.05174647 0.05475796 0.01481962 279.31900283 0.05412084 0.01464657 282.58625919 0.05349836 0.01447752 285.91634740 0.05287845 0.01430920 289.30926747 0.05226143 0.01414168 292.70218753 0.05165861 0.01397805 296.15793945 0.05105875 0.01381525 299.67652323 0.05046210 0.01365334 303.19510700 0.04987922 0.01349519 306.77652262 0.04929957 0.01333794 310.42077010 0.04872341 0.01318166 314.06501758 0.04816054 0.01302900