# omega total a= 1 L= 3 0.03141593 0.04722281 0.02009556 0.09424778 0.10843282 0.05049871 0.15707963 0.16833095 0.07994107 0.21991149 0.22631580 0.10798646 0.28274334 0.28209277 0.13444765 0.34557519 0.33564192 0.15935988 0.40840704 0.38707697 0.18286450 0.47123890 0.43654900 0.20512931 0.53407075 0.48413531 0.22625566 0.59690260 0.52977060 0.24622002 0.65973446 0.57325353 0.26487788 0.72256631 0.61432203 0.28202571 0.78539816 0.65274916 0.29748124 0.84823002 0.68845400 0.31117822 0.91106187 0.72155593 0.32321496 0.97389372 0.75236299 0.33384774 1.03672558 0.78129127 0.34342513 1.09955743 0.80875507 0.35229585 1.16238928 0.83506295 0.36071983 1.22522113 0.86035839 0.36881581 1.28805299 0.88461770 0.37655738 1.35088484 0.90769591 0.38381034 1.41371669 0.92940831 0.39040190 1.47654855 0.94962722 0.39620474 1.53938040 0.96835680 0.40120372 1.60221225 0.98575117 0.40551447 1.66504411 1.00206902 0.40934627 1.72787596 1.01758866 0.41292908 1.79070781 1.03252537 0.41644080 1.85353967 1.04698199 0.41996241 1.91637152 1.06093940 0.42346755 1.97920337 1.07428087 0.42684216 2.04203522 1.08684317 0.42992841 2.10486708 1.09848433 0.43258450 2.16769893 1.10914801 0.43474288 2.23053078 1.11889642 0.43644151 2.29336264 1.12789368 0.43781117 2.35619449 1.13634890 0.43902594 2.41902634 1.14444892 0.44024318 2.48185820 1.15230977 0.44155898 2.54469005 1.15995780 0.44298981 2.60752190 1.16733771 0.44447833 2.67035376 1.17434041 0.44591741 2.73318561 1.18084389 0.44718647 2.79601746 1.18675702 0.44819133 2.85884931 1.19205109 0.44889359 2.92168117 1.19676544 0.44931698 2.98451302 1.20098517 0.44952804 3.04734487 1.20480463 0.44960336 3.11017673 1.20829380 0.44959872 3.17300858 1.21148091 0.44953264 3.23584043 1.21435205 0.44938529 3.29867229 1.21686643 0.44911187 3.36150414 1.21898016 0.44866415 3.42433599 1.22067122 0.44801336 3.48716785 1.22195645 0.44716632 3.54999970 1.22289304 0.44616733 3.61283155 1.22356459 0.44508583 3.67566340 1.22405774 0.44399523 3.73849526 1.22444094 0.44295318 3.80132711 1.22475078 0.44198863 3.86415896 1.22498940 0.44109909 3.92699082 1.22513092 0.44025610 3.98982267 1.22513481 0.43941741 4.05265452 1.22496194 0.43854164 4.11548638 1.22458886 0.43760163 4.17831823 1.22401492 0.43659124 4.24115008 1.22326128 0.43552475 4.30398194 1.22236124 0.43442810 4.36681379 1.22134812 0.43332774 4.42964564 1.22024511 0.43224117 4.49247749 1.21906010 0.43117204 4.55530935 1.21778674 0.43011093 4.61814120 1.21640953 0.42903991 4.68097305 1.21491168 0.42793983 4.74380491 1.21328200 0.42679670 4.80663676 1.21151890 0.42560545 4.86946861 1.20963066 0.42437030 4.93230047 1.20763141 0.42310112 4.99513232 1.20553628 0.42180892 5.05796417 1.20335660 0.42050136 5.12079603 1.20109729 0.41918037 5.18362788 1.19875733 0.41784240 5.24645973 1.19633193 0.41648048 5.30929158 1.19381630 0.41508763 5.37212344 1.19120917 0.41366017 5.43495529 1.18851470 0.41219956 5.49778714 1.18574266 0.41071252 5.56061900 1.18290675 0.40920956 5.62345085 1.18002185 0.40770244 5.68628270 1.17710117 0.40620150 5.74911456 1.17415449 0.40471401 5.81194641 1.17118731 0.40324336 5.87477826 1.16820122 0.40178935 5.93761012 1.16519564 0.40034982 6.00044197 1.16216909 0.39892180 6.06327382 1.15912059 0.39750282 6.12610567 1.15605033 0.39609152 6.18893753 1.15295910 0.39468717 6.25176938 1.14984759 0.39328898 6.31460123 1.14671564 0.39189544 6.37743309 1.14356093 0.39050306 6.44026494 1.14037914 0.38910658 6.50309679 1.13716416 0.38769905 6.56592865 1.13390876 0.38627256 6.62876050 1.13060587 0.38481933 6.69159235 1.12724988 0.38333303 6.75442421 1.12383724 0.38180921 6.81725606 1.12036672 0.38024568 6.88008791 1.11684035 0.37864329 6.94291976 1.11326255 0.37700519 7.00575162 1.10963988 0.37533659 7.06858347 1.10598063 0.37364432 7.13141532 1.10229416 0.37193633 7.19424718 1.09859067 0.37022137 7.25707903 1.09488064 0.36850847 7.31991088 1.09117431 0.36680651 7.38274274 1.08748126 0.36512381 7.44557459 1.08381022 0.36346788 7.50840644 1.08016843 0.36184491 7.57123830 1.07656119 0.36025926 7.63407015 1.07299205 0.35871376 7.69690200 1.06946273 0.35720945 7.75973385 1.06597290 0.35574554 7.82256571 1.06252057 0.35431970 7.88539756 1.05910266 0.35292857 7.94822941 1.05571531 0.35156807 8.01106127 1.05235386 0.35023340 8.07389312 1.04901354 0.34891967 8.13672497 1.04568984 0.34762221 8.19955683 1.04237853 0.34633666 8.26238868 1.03907581 0.34505905 8.32522053 1.03577875 0.34378627 8.38805239 1.03248496 0.34251570 8.45088424 1.02919276 0.34124541 8.51371609 1.02590138 0.33997435 8.57654794 1.02261072 0.33870212 8.63937980 1.01932100 0.33742859 8.70221165 1.01603302 0.33615425 8.76504350 1.01274792 0.33487989 8.82787536 1.00946686 0.33360635 8.89070721 1.00619103 0.33233452 8.95353906 1.00292157 0.33106522 9.01637092 0.99965965 0.32979936 9.07920277 0.99640617 0.32853756 9.14203462 0.99316185 0.32728032 9.20486648 0.98992715 0.32602789 9.26769833 0.98670258 0.32478057 9.33053018 0.98348847 0.32353852 9.39336203 0.98028506 0.32230179 9.45619389 0.97709254 0.32107042 9.58185759 0.97074080 0.31862373 9.70752130 0.96443484 0.31619887 9.77035315 0.96129946 0.31499472 9.89601686 0.95506495 0.31260336 10.02168056 0.94888000 0.31023506 10.14734427 0.94274563 0.30789001 10.27300798 0.93666279 0.30556844 10.39867168 0.93063176 0.30327006 10.52433539 0.92465292 0.30099470 10.64999910 0.91872630 0.29874197 10.77566280 0.91285210 0.29651170 10.90132651 0.90703046 0.29430373 11.02699021 0.90126161 0.29211799 11.15265392 0.89554580 0.28995454 11.27831763 0.88988341 0.28781356 11.40398133 0.88427479 0.28569525 11.52964504 0.87872030 0.28359987 11.65530874 0.87322031 0.28152771 11.78097245 0.86777517 0.27947907 11.96946801 0.85971094 0.27645087 12.09513172 0.85440413 0.27446228 12.22079542 0.84915296 0.27249810 12.34645913 0.84395747 0.27055847 12.53495469 0.83626841 0.26769508 12.66061839 0.83121147 0.26581672 12.78628210 0.82620933 0.26396256 12.97477766 0.81880768 0.26122595 13.10044137 0.81394001 0.25943068 13.28893692 0.80673690 0.25678036 13.41460063 0.80199936 0.25504118 13.60309619 0.79498811 0.25247290 13.72875990 0.79037637 0.25078715 13.91725546 0.78355089 0.24829736 14.04291916 0.77906114 0.24666295 14.23141472 0.77241591 0.24424877 14.41991028 0.76587620 0.24187861 14.54557399 0.76157395 0.24032240 14.73406955 0.75520521 0.23802299 14.92256510 0.74893590 0.23576426 15.11106066 0.74276356 0.23354478 15.29955622 0.73668571 0.23136314 15.42521993 0.73268513 0.22992907 15.61371549 0.72675954 0.22780757 15.80221105 0.72092238 0.22572058 15.99070661 0.71517163 0.22366709 16.17920217 0.70950540 0.22164621 16.36769773 0.70392194 0.21965711 16.55619328 0.69841957 0.21769910 16.74468884 0.69299670 0.21577149 16.99601626 0.68588722 0.21324757 17.18451182 0.68064394 0.21138854 17.37300737 0.67547521 0.20955795 17.56150293 0.67037960 0.20775524 17.81283035 0.66369682 0.20539408 18.00132591 0.65876650 0.20365437 18.18982146 0.65390480 0.20194079 18.44114888 0.64752704 0.19969581 18.62964444 0.64282045 0.19804128 18.88097185 0.63664495 0.19587328 19.06946741 0.63208672 0.19427519 19.32079482 0.62610472 0.19218076 19.50929038 0.62168844 0.19063662 19.76061779 0.61589157 0.18861252 20.01194520 0.61019690 0.18662722 20.20044076 0.60599144 0.18516310 20.45176817 0.60046959 0.18324334 20.70309559 0.59504317 0.18135974 20.95442300 0.58970985 0.17951139 21.20575041 0.58446737 0.17769742 21.45707782 0.57931354 0.17591697 21.70840524 0.57424623 0.17416920 21.95973265 0.56926336 0.17245330 22.21106006 0.56436292 0.17076849 22.46238747 0.55954295 0.16911401 22.71371489 0.55480157 0.16748910 23.02787415 0.54898254 0.16549846 23.27920156 0.54441131 0.16393750 23.53052898 0.53991286 0.16240383 23.84468824 0.53438960 0.16052414 24.09601565 0.53004886 0.15904952 24.41017492 0.52471769 0.15724166 24.66150233 0.52052672 0.15582296 24.97566160 0.51537803 0.15408315 25.28982086 0.51032680 0.15237959 25.54114827 0.50635417 0.15104214 25.85530754 0.50147167 0.14940122 26.16946680 0.49667934 0.14779371 26.48362607 0.49197478 0.14621865 26.79778534 0.48735564 0.14467513 27.11194460 0.48281967 0.14316226 27.42610387 0.47836467 0.14167919 27.74026313 0.47398855 0.14022509 28.05442240 0.46968926 0.13879917 28.43141351 0.46462878 0.13712417 28.74557278 0.46049169 0.13575757 29.05973205 0.45642538 0.13441677 29.43672316 0.45163672 0.13284090 29.75088243 0.44771993 0.13155448 30.12787355 0.44310585 0.13004198 30.50486467 0.43858306 0.12856250 30.81902393 0.43488190 0.12735410 31.19601505 0.43051970 0.12593254 31.57300617 0.42624156 0.12454121 31.94999729 0.42204511 0.12317919 32.32698841 0.41792807 0.12184559 32.70397952 0.41388824 0.12053956 33.08097064 0.40992350 0.11926029 33.45796176 0.40603179 0.11800699 33.89778473 0.40158116 0.11657663 34.27477585 0.39784104 0.11537704 34.65176697 0.39416796 0.11420112 35.09158994 0.38996506 0.11285824 35.46858106 0.38643126 0.11173133 35.90840403 0.38238631 0.11044389 36.34822700 0.37842279 0.10918495 36.78804997 0.37453831 0.10795358 37.16504109 0.37126991 0.10691942 37.60486406 0.36752615 0.10573699 38.10751889 0.36333645 0.10441645 38.54734186 0.35974591 0.10328705 38.98716483 0.35622371 0.10218122 39.42698780 0.35276795 0.10109825 39.92964263 0.34889752 0.09988768 40.36946560 0.34557803 0.09885142 40.87212042 0.34185879 0.09769255 41.31194339 0.33866778 0.09670011 41.81459822 0.33509117 0.09558977 42.31725304 0.33158734 0.09450410 42.81990787 0.32815412 0.09344230 43.32256269 0.32478943 0.09240362 43.82521752 0.32149125 0.09138732 44.32787234 0.31825767 0.09039269 44.89335902 0.31469479 0.08929881 45.39601384 0.31159240 0.08834805 45.89866867 0.30854903 0.08741695 46.46415535 0.30519375 0.08639222 47.02964202 0.30190883 0.08539082 47.59512870 0.29869213 0.08441197 48.16061538 0.29554155 0.08345494 48.72610206 0.29245512 0.08251900 49.29158873 0.28943092 0.08160349 49.85707541 0.28646711 0.08070776 50.42256209 0.28356193 0.07983117 51.05088062 0.28040064 0.07887892 51.61636730 0.27761373 0.07804083 52.24468583 0.27457989 0.07712996 52.87300436 0.27161010 0.07623982 53.50132289 0.26870238 0.07536972 54.12964142 0.26585482 0.07451899 54.75795995 0.26306561 0.07368700 55.38627848 0.26033299 0.07287315 56.07742887 0.25739047 0.07199818 56.70574740 0.25477130 0.07122056 57.39689778 0.25194973 0.07038413 58.08804816 0.24918861 0.06956689 58.71636670 0.24672934 0.06884005 59.40751708 0.24407840 0.06805768 60.16149932 0.24124929 0.06722400 60.85264970 0.23871172 0.06647734 61.54380008 0.23622585 0.06574691 62.29778232 0.23357114 0.06496799 63.05176456 0.23097420 0.06420711 63.74291494 0.22864284 0.06352499 64.49689718 0.22615154 0.06279703 65.25087942 0.22371285 0.06208541 66.06769350 0.22112841 0.06133230 66.82167574 0.21879417 0.06065302 67.63848983 0.21631930 0.05993376 68.39247207 0.21408302 0.05928467 69.20928616 0.21171098 0.05859705 70.02610025 0.20938994 0.05792507 70.84291434 0.20711827 0.05726820 71.72256028 0.20472533 0.05657714 72.53937437 0.20255139 0.05595009 73.41902031 0.20026033 0.05529006 74.23583440 0.19817801 0.05469087 75.11548035 0.19598254 0.05405984 75.99512629 0.19383432 0.05344311 76.93760409 0.19158341 0.05279764 77.81725003 0.18952841 0.05220903 78.75972783 0.18737415 0.05159267 79.70220562 0.18526750 0.05099060 80.58185156 0.18334287 0.05044113 81.58716121 0.18119089 0.04982741 82.52963901 0.17921804 0.04926537 83.47211681 0.17728700 0.04871580 84.47742646 0.17527185 0.04814287 85.48273610 0.17330128 0.04758318 86.48804575 0.17137385 0.04703629 87.49335540 0.16948816 0.04650176 88.56149690 0.16752888 0.04594690 89.56680655 0.16572518 0.04543659 90.63494806 0.16385020 0.04490659 91.70308956 0.16201656 0.04438876 92.77123106 0.16022292 0.04388267 93.90220442 0.15836596 0.04335919 94.97034592 0.15665071 0.04287608 96.10131927 0.15487406 0.04237610 97.23229263 0.15313672 0.04188759 98.36326598 0.15143741 0.04141018 99.55707119 0.14968360 0.04091786 100.75087640 0.14796943 0.04043706 101.88184976 0.14638085 0.03999183 103.13848682 0.14465480 0.03950846 104.33229203 0.14305188 0.03905991 105.52609723 0.14148366 0.03862139 106.78273430 0.13986920 0.03817027 108.03937136 0.13829073 0.03772953 109.35884027 0.13667079 0.03727755 110.61547733 0.13516249 0.03685700 111.93494625 0.13361379 0.03642549 113.25441516 0.13209980 0.03600393 114.57388408 0.13061936 0.03559199 115.95618484 0.12910323 0.03517039 117.27565376 0.12768814 0.03477714 118.65795453 0.12623823 0.03437446 120.10308715 0.12475685 0.03396330 121.48538791 0.12337172 0.03357909 122.93052053 0.12195583 0.03318658 124.37565316 0.12057176 0.03280312 125.82078578 0.11921846 0.03242839 127.32875025 0.11783803 0.03204637 128.83671472 0.11648892 0.03167322 130.34467920 0.11517008 0.03130864 131.91547552 0.11382739 0.03093767 133.42344000 0.11256729 0.03058970 134.99423632 0.11128376 0.03023544 136.62786450 0.10997932 0.02987559 138.19866083 0.10875334 0.02953755 139.83228901 0.10750675 0.02919400 141.52874904 0.10624187 0.02884557 143.16237722 0.10505143 0.02851780 144.85883726 0.10384291 0.02818520 146.55529729 0.10266168 0.02786025 148.31458918 0.10146454 0.02753108 150.07388106 0.10029480 0.02720957 151.83317295 0.09915154 0.02689548 153.59246483 0.09803387 0.02658854 155.41458857 0.09690236 0.02627793 157.23671231 0.09579649 0.02597448 159.12166790 0.09467858 0.02566784 161.00662350 0.09358629 0.02536834 162.89157909 0.09251875 0.02507574 164.77653468 0.09147515 0.02478980 166.72432213 0.09042106 0.02450109 168.73494142 0.08935800 0.02421003 170.68272887 0.08835160 0.02393457 172.69334817 0.08733609 0.02365671 174.76679932 0.08631289 0.02337684 176.84025047 0.08531325 0.02310351 178.91370162 0.08433637 0.02283648 180.98715277 0.08338150 0.02257555 183.12343578 0.08241993 0.02231286 185.32255064 0.08145286 0.02204876 187.45883364 0.08053480 0.02179811 189.72078035 0.07958492 0.02153884 191.91989521 0.07868256 0.02129262 194.18184192 0.07777542 0.02104516 196.50662048 0.07686454 0.02079675 198.83139905 0.07597464 0.02055412 201.15617761 0.07510503 0.02031709 203.54378803 0.07423231 0.02007927 205.93139844 0.07337956 0.01984695 208.38184071 0.07252442 0.01961403 210.83228298 0.07168891 0.01938652 213.28272525 0.07087235 0.01916422 215.79599938 0.07005389 0.01894145 218.37210535 0.06923428 0.01871842 220.94821133 0.06843356 0.01850059 223.52431730 0.06765109 0.01828776 226.16325513 0.06686782 0.01807476 228.86502481 0.06608440 0.01786176 231.56679450 0.06531907 0.01765373 234.26856418 0.06457121 0.01745049 237.03316571 0.06382343 0.01724731 239.79776725 0.06309272 0.01704880 242.68803249 0.06234642 0.01684611 245.51546588 0.06163319 0.01665243 248.40573112 0.06092074 0.01645900 251.35882821 0.06020957 0.01626595 254.31192531 0.05951477 0.01607738 257.32785426 0.05882151 0.01588927 260.34378320 0.05814418 0.01570551 263.42254400 0.05746861 0.01552225 266.50130480 0.05680852 0.01534323 269.64289746 0.05615038 0.01516477 272.84732196 0.05549457 0.01498697 276.05174647 0.05485387 0.01481330 279.31900283 0.05421565 0.01464033 282.58625919 0.05359207 0.01447135 285.91634740 0.05297107 0.01430310 289.30926747 0.05235297 0.01413566 292.70218753 0.05174909 0.01397210 296.15793945 0.05114817 0.01380936 299.67652323 0.05055048 0.01364752 303.19510700 0.04996657 0.01348944 306.77652262 0.04938591 0.01333226 310.42077010 0.04880874 0.01317604 314.06501758 0.04824488 0.01302345