# omega total a= 1 L= 2 0.06283185 0.14387048 0.02553562 0.18849556 0.26835067 0.02235378 0.31415927 0.39829203 0.02413594 0.43982297 0.54329478 0.03711715 0.56548668 0.69102085 0.05521716 0.69115038 0.81609904 0.06383014 0.81681409 0.93536118 0.07312365 0.94247780 1.04320832 0.07999069 1.06814150 1.14121530 0.08549498 1.19380521 1.23290054 0.09174532 1.31946891 1.31648636 0.09752537 1.44513262 1.39102139 0.10209809 1.57079633 1.45750698 0.10595864 1.69646003 1.51683560 0.10946445 1.82212374 1.56951140 0.11266646 1.94778745 1.61587978 0.11550591 2.07345115 1.65624966 0.11791420 2.19911486 1.69104467 0.11990704 2.32477856 1.72080413 0.12157493 2.45044227 1.74604040 0.12299290 2.57610598 1.76716470 0.12418287 2.70176968 1.78453596 0.12515175 2.82743339 1.79851358 0.12592471 2.95309709 1.80945143 0.12653756 3.07876080 1.81767330 0.12701968 3.20442451 1.82346619 0.12739016 3.33008821 1.82708620 0.12766158 3.45575192 1.82876423 0.12784299 3.58141563 1.82870843 0.12794103 3.70707933 1.82710652 0.12796082 3.83274304 1.82412799 0.12790672 3.95840674 1.81992652 0.12778300 4.08407045 1.81464178 0.12759424 4.20973416 1.80840086 0.12734550 4.33539786 1.80131983 0.12704273 4.46106157 1.79350428 0.12669229 4.58672527 1.78504994 0.12630068 4.71238898 1.77604288 0.12587394 4.83805269 1.76656001 0.12541741 4.96371639 1.75666939 0.12493531 5.08938010 1.74643117 0.12443086 5.21504380 1.73589819 0.12390628 5.34070751 1.72511686 0.12336292 5.46637122 1.71412822 0.12280166 5.59203492 1.70296879 0.12222323 5.71769863 1.69167126 0.12162838 5.84336234 1.68026524 0.12101815 5.96902604 1.66877757 0.12039390 6.09468975 1.65723262 0.11975718 6.22035345 1.64565263 0.11910989 6.34601716 1.63405759 0.11845386 6.47168087 1.62246534 0.11779088 6.59734457 1.61089188 0.11712266 6.72300828 1.59935151 0.11645087 6.84867198 1.58785650 0.11577675 6.97433569 1.57641741 0.11510124 7.09999940 1.56504352 0.11442522 7.22566310 1.55374261 0.11374921 7.35132681 1.54252100 0.11307334 7.47699052 1.53138379 0.11239747 7.60265422 1.52033540 0.11172147 7.72831793 1.50937942 0.11104512 7.85398163 1.49851862 0.11036801 7.97964534 1.48775583 0.10969020 8.10530905 1.47709319 0.10901165 8.23097275 1.46653281 0.10833260 8.35663646 1.45607678 0.10765361 8.48230016 1.44572682 0.10697530 8.60796387 1.43548455 0.10629838 8.73362758 1.42535137 0.10562368 8.85929128 1.41532818 0.10495181 8.98495499 1.40541586 0.10428354 9.11061870 1.39561448 0.10361913 9.23628240 1.38592435 0.10295914 9.36194611 1.37634499 0.10230362 9.48760981 1.36687599 0.10165275 9.61327352 1.35751653 0.10100647 9.73893723 1.34826583 0.10036479 9.86460093 1.33912294 0.09972768 9.99026464 1.33008696 0.09909518 10.11592834 1.32115665 0.09846712 10.24159205 1.31233114 0.09784367 10.36725576 1.30360923 0.09722478 10.49291946 1.29498966 0.09661040 10.61858317 1.28647140 0.09600068 10.74424688 1.27805311 0.09539556 10.86991058 1.26973355 0.09479509 10.99557429 1.26151137 0.09419922 11.12123799 1.25338531 0.09360803 11.24690170 1.24535388 0.09302138 11.37256541 1.23741586 0.09243937 11.49822911 1.22956967 0.09186182 11.62389282 1.22181411 0.09128883 11.74955652 1.21414768 0.09072027 11.87522023 1.20656912 0.09015616 12.00088394 1.19907702 0.08959643 12.12654764 1.19167009 0.08904108 12.25221135 1.18434700 0.08849005 12.37787506 1.17710661 0.08794344 12.50353876 1.16994754 0.08740112 12.62920247 1.16286872 0.08686322 12.75486617 1.15586885 0.08632965 12.88052988 1.14894685 0.08580050 13.00619359 1.14210156 0.08527577 13.13185729 1.13533178 0.08475541 13.25752100 1.12863662 0.08423961 13.38318470 1.12201470 0.08372817 13.50884841 1.11546524 0.08322131 13.63451212 1.10898696 0.08271888 13.76017582 1.10257892 0.08222099 13.88583953 1.09624005 0.08172757 14.01150324 1.08996939 0.08123869 14.13716694 1.08376587 0.08075430 14.26283065 1.07762857 0.08027442 14.38849435 1.07155640 0.07979896 14.51415806 1.06554846 0.07932796 14.63982177 1.05960379 0.07886137 14.76548547 1.05372139 0.07839914 14.89114918 1.04790046 0.07794131 15.01681288 1.04213990 0.07748772 15.14247659 1.03643888 0.07703838 15.26814030 1.03079650 0.07659323 15.39380400 1.02521189 0.07615224 15.51946771 1.01968423 0.07571539 15.64513141 1.01421258 0.07528256 15.77079512 1.00879617 0.07485376 15.89645883 1.00343413 0.07442890 16.02212253 0.99812571 0.07400795 16.14778624 0.99287006 0.07359086 16.27344995 0.98766649 0.07317761 16.39911365 0.98251418 0.07276813 16.52477736 0.97741238 0.07236236 16.65044106 0.97236047 0.07196034 16.77610477 0.96735758 0.07156192 16.90176848 0.96240318 0.07116719 17.02743218 0.95749643 0.07077599 17.15309589 0.95263682 0.07038841 17.27875959 0.94782355 0.07000430 17.40442330 0.94305607 0.06962371 17.53008701 0.93833371 0.06924659 17.65575071 0.93365587 0.06887289 17.78141442 0.92902191 0.06850258 17.90707813 0.92443126 0.06813565 18.03274183 0.91988331 0.06777204 18.15840554 0.91537749 0.06741173 18.28406924 0.91091325 0.06705471 18.40973295 0.90649001 0.06670092 18.53539666 0.90210721 0.06635031 18.66106036 0.89776433 0.06600288 18.78672407 0.89346083 0.06565859 18.91238777 0.88919619 0.06531739 19.03805148 0.88496987 0.06497924 19.16371519 0.88078139 0.06464412 19.28937889 0.87663026 0.06431200 19.41504260 0.87251600 0.06398286 19.54070631 0.86843810 0.06365662 19.66637001 0.86439612 0.06333329 19.79203372 0.86038958 0.06301282 19.91769742 0.85641804 0.06269518 20.04336113 0.85248105 0.06238034 20.16902484 0.84857815 0.06206825 20.29468854 0.84470896 0.06175891 20.42035225 0.84087302 0.06145228 20.54601595 0.83706993 0.06114833 20.67167966 0.83329928 0.06084702 20.79734337 0.82956066 0.06054832 20.92300707 0.82585369 0.06025222 21.04867078 0.82217798 0.05995868 21.17433449 0.81853313 0.05966766 21.29999819 0.81491877 0.05937914 21.42566190 0.81133454 0.05909310 21.55132560 0.80778008 0.05880950 21.67698931 0.80425498 0.05852829 21.80265302 0.80075896 0.05824949 21.92831672 0.79729160 0.05797302 22.05398043 0.79385261 0.05769889 22.17964413 0.79044161 0.05742704 22.30530784 0.78705830 0.05715748 22.43097155 0.78370232 0.05689013 22.55663525 0.78037338 0.05662502 22.68229896 0.77707113 0.05636207 22.80796267 0.77379528 0.05610129 22.93362637 0.77054551 0.05584265 23.05929008 0.76732153 0.05558611 23.18495378 0.76412304 0.05533166 23.31061749 0.76094973 0.05507927 23.43628120 0.75780133 0.05482892 23.56194490 0.75467756 0.05458060 23.68760861 0.75157813 0.05433427 23.81327231 0.74850279 0.05408993 23.93893602 0.74545126 0.05384755 24.06459973 0.74242327 0.05360711 24.19026343 0.73941856 0.05336859 24.31592714 0.73643690 0.05313200 24.44159084 0.73347802 0.05289729 24.56725455 0.73054167 0.05266446 24.69291826 0.72762763 0.05243350 24.81858196 0.72473563 0.05220438 24.94424567 0.72186547 0.05197710 25.06990938 0.71901690 0.05175163 25.19557308 0.71618968 0.05152797 25.44690049 0.71059845 0.05108601 25.57256420 0.70783400 0.05086768 25.82389161 0.70236632 0.05043626 25.94955532 0.69966267 0.05022313 26.20088273 0.69431473 0.04980198 26.32654644 0.69167002 0.04959393 26.57787385 0.68643813 0.04918279 26.82920126 0.68128164 0.04877817 26.95486497 0.67873119 0.04857827 27.20619238 0.67368491 0.04818320 27.45751979 0.66871024 0.04779433 27.58318350 0.66624930 0.04760219 27.83451091 0.66137933 0.04722238 28.08583832 0.65657739 0.04684846 28.21150203 0.65420151 0.04666367 28.46282944 0.64949908 0.04629833 28.71415685 0.64486131 0.04593854 28.96548427 0.64028694 0.04558418 29.09114797 0.63802313 0.04540900 29.34247538 0.63354148 0.04506255 29.59380280 0.62912013 0.04472123 29.84513021 0.62475791 0.04438492 30.09645762 0.62045365 0.04405349 30.34778503 0.61620624 0.04372684 30.47344874 0.61410351 0.04356527 30.72477615 0.60993933 0.04324558 30.97610356 0.60582932 0.04293041 31.22743098 0.60177245 0.04261965 31.47875839 0.59776772 0.04231321 31.73008580 0.59381417 0.04201100 31.98141321 0.58991082 0.04171292 32.23274063 0.58605678 0.04141889 32.48406804 0.58225112 0.04112883 32.73539545 0.57849296 0.04084265 32.98672286 0.57478146 0.04056028 33.23805027 0.57111576 0.04028163 33.48937769 0.56749505 0.04000664 33.74070510 0.56391853 0.03973524 33.99203251 0.56038542 0.03946735 34.24335992 0.55689495 0.03920290 34.49468734 0.55344638 0.03894185 34.74601475 0.55003898 0.03868410 34.99734216 0.54667205 0.03842962 35.37433328 0.54169598 0.03805387 35.62566069 0.53842719 0.03780727 35.87698810 0.53519648 0.03756373 36.12831552 0.53200323 0.03732318 36.37964293 0.52884680 0.03708558 36.75663405 0.52417985 0.03673459 37.00796146 0.52111281 0.03650413 37.25928887 0.51808051 0.03627643 37.51061628 0.51508235 0.03605146 37.88760740 0.51064796 0.03571900 38.13893481 0.50773279 0.03550062 38.39026223 0.50484988 0.03528480 38.76725335 0.50058486 0.03496579 39.01858076 0.49778035 0.03475619 39.39557188 0.49363061 0.03444630 39.64689929 0.49090143 0.03424266 39.89822670 0.48820156 0.03404133 40.27521782 0.48420571 0.03374359 40.52654523 0.48157712 0.03354789 40.90353635 0.47768614 0.03325842 41.15486376 0.47512613 0.03306811 41.53185488 0.47133604 0.03278658 41.78318229 0.46884201 0.03260145 42.16017341 0.46514904 0.03232754 42.53716453 0.46151260 0.03205805 42.78849194 0.45911909 0.03188081 43.16548306 0.45557409 0.03161848 43.41681047 0.45324041 0.03144591 43.79380159 0.44978352 0.03119046 44.17079271 0.44637797 0.03093902 44.54778383 0.44302263 0.03069149 44.79911124 0.44081311 0.03052860 45.17610236 0.43753910 0.03028740 45.55309348 0.43431250 0.03004988 45.93008460 0.43113232 0.02981596 46.18141201 0.42903749 0.02966198 46.55840313 0.42593250 0.02943389 46.93539424 0.42287138 0.02920919 47.31238536 0.41985322 0.02898782 47.68937648 0.41687715 0.02876970 48.06636760 0.41394231 0.02855476 48.44335872 0.41104785 0.02834293 48.82034984 0.40819297 0.02813416 49.19734096 0.40537687 0.02792836 49.57433207 0.40259879 0.02772549 49.95132319 0.39985797 0.02752549 50.32831431 0.39715367 0.02732828 50.70530543 0.39448520 0.02713382 51.08229655 0.39185183 0.02694206 51.45928767 0.38925292 0.02675292 51.83627878 0.38668778 0.02656638 52.33893361 0.38331902 0.02632157 52.71592473 0.38083022 0.02614085 53.09291585 0.37837312 0.02596255 53.46990696 0.37594711 0.02578662 53.97256179 0.37275980 0.02555565 54.34955291 0.37040413 0.02538507 54.72654403 0.36807768 0.02521671 55.22919885 0.36502029 0.02499561 55.60618997 0.36275998 0.02483227 55.98318109 0.36052715 0.02467101 56.48583591 0.35759198 0.02445917 56.86282703 0.35542141 0.02430263 57.36548185 0.35256752 0.02409694 57.74247297 0.35045667 0.02394490 58.24512780 0.34768078 0.02374510 58.62211892 0.34562723 0.02359739 59.12477374 0.34292621 0.02340323 59.62742857 0.34026663 0.02321219 60.00441968 0.33829859 0.02307092 60.50707451 0.33570930 0.02288516 61.00972933 0.33315894 0.02270233 61.38672045 0.33127121 0.02256709 61.88937528 0.32878692 0.02238921 62.39203010 0.32633925 0.02221407 62.89468492 0.32392740 0.02204162 63.39733975 0.32155059 0.02187178 63.89999457 0.31920807 0.02170451 64.40264940 0.31689912 0.02153974 64.77964052 0.31518900 0.02141778 65.28229534 0.31293708 0.02125726 65.78495017 0.31071681 0.02109910 66.41326870 0.30798498 0.02090464 66.91592352 0.30583354 0.02075161 67.41857835 0.30371169 0.02060076 67.92123317 0.30161881 0.02045207 68.42388800 0.29955432 0.02030549 68.92654282 0.29751765 0.02016096 69.42919764 0.29550824 0.02001846 70.05751618 0.29303399 0.01984311 70.56017100 0.29108397 0.01970499 71.06282582 0.28915951 0.01956877 71.69114435 0.28678911 0.01940109 72.19379918 0.28492034 0.01926897 72.82211771 0.28261807 0.01910631 73.32477253 0.28080264 0.01897813 73.95309107 0.27856561 0.01882027 74.45574589 0.27680127 0.01869585 75.08406442 0.27462676 0.01854259 75.58671925 0.27291140 0.01842176 76.21503778 0.27079683 0.01827290 76.84335631 0.26871451 0.01812640 77.34601113 0.26707138 0.01801087 77.97432966 0.26504527 0.01786849 78.60264819 0.26304942 0.01772832 79.23096672 0.26108315 0.01759031 79.85928525 0.25914582 0.01745442 80.36194008 0.25761636 0.01734720 80.99025861 0.25572953 0.01721499 81.61857714 0.25386990 0.01708476 82.24689567 0.25203690 0.01695648 82.87521420 0.25022997 0.01683009 83.62919644 0.24809527 0.01668086 84.25751497 0.24634376 0.01655850 84.88583350 0.24461659 0.01643791 85.51415203 0.24291328 0.01631905 86.14247056 0.24123333 0.01620188 86.89645280 0.23924755 0.01606346 87.52477133 0.23761734 0.01594989 88.15308986 0.23600901 0.01583790 88.90707210 0.23410728 0.01570557 89.53539063 0.23254557 0.01559695 90.28937286 0.23069858 0.01546856 90.91769139 0.22918150 0.01536317 91.67167363 0.22738692 0.01523856 92.42565587 0.22561999 0.01511594 93.05397440 0.22416821 0.01501525 93.80795664 0.22245036 0.01489617 94.56193887 0.22075841 0.01477894 95.19025740 0.21936783 0.01468265 95.94423964 0.21772189 0.01456873 96.69822188 0.21610027 0.01445655 97.45220411 0.21450242 0.01434608 98.20618635 0.21292783 0.01423727 98.96016859 0.21137600 0.01413009 99.71415082 0.20984644 0.01402451 100.46813306 0.20833867 0.01392048 101.34777900 0.20660654 0.01380103 102.10176124 0.20514442 0.01370026 102.85574348 0.20370269 0.01360095 103.60972572 0.20228091 0.01350305 104.48937166 0.20064684 0.01339060 105.24335390 0.19926690 0.01329568 106.12299984 0.19768058 0.01318662 106.87698208 0.19634067 0.01309455 107.75662802 0.19480004 0.01298874 108.51061025 0.19349845 0.01289939 109.39025620 0.19200156 0.01279668 110.26990214 0.19052746 0.01269559 111.14954808 0.18907564 0.01259607 111.90353032 0.18784857 0.01251200 112.78317626 0.18643680 0.01241531 113.66282221 0.18504593 0.01232011 114.54246815 0.18367548 0.01222634 115.42211409 0.18232501 0.01213399 116.30176004 0.18099410 0.01204302 117.18140598 0.17968231 0.01195339 118.18671563 0.17820604 0.01185257 119.06636157 0.17693389 0.01176574 119.94600751 0.17567963 0.01168016 120.95131716 0.17426761 0.01158386 121.83096311 0.17305043 0.01150089 122.83627276 0.17167986 0.01140750 123.71591870 0.17049815 0.01132702 124.72122835 0.16916724 0.01123641 125.60087429 0.16801948 0.01115831 126.60618394 0.16672652 0.01107036 127.61149359 0.16545316 0.01098379 128.61680324 0.16419894 0.01089855 129.62211289 0.16296345 0.01081462 130.62742254 0.16174626 0.01073197 131.63273219 0.16054698 0.01065057 132.63804183 0.15936521 0.01057039 133.64335148 0.15820058 0.01049140 134.64866113 0.15705272 0.01041359 135.65397078 0.15592126 0.01033691 136.78494414 0.15466755 0.01025199 137.79025379 0.15356982 0.01017766 138.92122714 0.15235321 0.01009531 139.92653679 0.15128772 0.01002322 141.05751015 0.15010659 0.00994334 142.06281980 0.14907195 0.00987339 143.19379315 0.14792477 0.00979586 144.32476651 0.14679498 0.00971954 145.45573986 0.14568219 0.00964439 146.58671322 0.14458603 0.00957039 147.71768657 0.14350611 0.00949752 148.84865993 0.14244209 0.00942575 149.97963328 0.14139361 0.00935505 151.11060664 0.14036035 0.00928539 152.24157999 0.13934196 0.00921677 153.49821705 0.13822750 0.00914170 154.62919041 0.13723951 0.00907517 155.88582747 0.13615805 0.00900237 157.01680083 0.13519911 0.00893785 158.27343789 0.13414923 0.00886722 159.53007495 0.13311542 0.00879770 160.66104830 0.13219842 0.00873606 161.91768537 0.13119414 0.00866857 163.17432243 0.13020490 0.00860211 164.43095949 0.12923036 0.00853666 165.68759655 0.12827021 0.00847220 167.06989732 0.12723027 0.00840240 168.32653438 0.12629931 0.00833994 169.58317144 0.12538178 0.00827840 170.96547221 0.12438767 0.00821174 172.22210927 0.12349743 0.00815207 173.60441004 0.12253267 0.00808742 174.86104710 0.12166853 0.00802952 176.24334787 0.12073184 0.00796679 177.62564863 0.11980939 0.00790503 179.00794940 0.11890083 0.00784421 180.39025017 0.11800586 0.00778433 181.77255094 0.11712419 0.00772535 183.15485170 0.11625551 0.00766725 184.66281618 0.11532235 0.00760486 186.04511695 0.11447993 0.00754855 187.42741771 0.11364967 0.00749307 188.93538219 0.11275747 0.00743347 190.31768295 0.11195177 0.00737966 191.82564743 0.11108577 0.00732184 193.33361190 0.11023300 0.00726491 194.84157638 0.10939314 0.00720886 196.34954085 0.10856591 0.00715367 197.85750532 0.10775103 0.00709932 199.36546980 0.10694823 0.00704578 200.87343427 0.10615723 0.00699305 202.50706245 0.10531335 0.00693680 204.01502692 0.10454613 0.00688568 205.64865510 0.10372744 0.00683114 207.15661958 0.10298295 0.00678155 208.79024776 0.10218834 0.00672864 210.42387594 0.10140582 0.00667654 212.05750412 0.10063514 0.00662525 213.69113230 0.09987603 0.00657473 215.32476048 0.09912822 0.00652498 216.95838866 0.09839148 0.00647598 218.59201684 0.09766555 0.00642770 220.35130872 0.09689561 0.00637651 221.98493690 0.09619140 0.00632970 223.74422879 0.09544433 0.00628006 225.50352067 0.09470872 0.00623118 227.26281256 0.09398431 0.00618306 229.02210445 0.09327084 0.00613567 230.78139633 0.09256808 0.00608901 232.54068822 0.09187578 0.00604305 234.29998010 0.09119371 0.00599777 236.18493570 0.09047402 0.00595001 237.94422758 0.08981244 0.00590611 239.82918318 0.08911422 0.00585980 241.71413877 0.08842671 0.00581420 243.47343065 0.08779451 0.00577227 245.35838625 0.08712706 0.00572802 247.24334184 0.08646964 0.00568444 249.25396114 0.08577920 0.00563868 251.13891673 0.08514181 0.00559644