# omega total a= 1 L= 2 0.06283185 0.16451600 0.01116232 0.18849556 0.34320707 0.02169235 0.31415927 0.50769645 0.02908431 0.43982297 0.66513233 0.03745834 0.56548668 0.81546740 0.04689679 0.69115038 0.95463498 0.05517648 0.81681409 1.08179192 0.06204898 0.94247780 1.19798496 0.06830363 1.06814150 1.30325260 0.07396644 1.19380521 1.39769987 0.07899405 1.31946891 1.48197451 0.08358629 1.44513262 1.55654345 0.08774639 1.57079633 1.62181570 0.09138286 1.69646003 1.67857293 0.09461223 1.82212374 1.72767763 0.09758766 1.94778745 1.76973410 0.10029037 2.07345115 1.80525368 0.10265066 2.19911486 1.83486327 0.10469408 2.32477856 1.85923862 0.10650157 2.45044227 1.87897367 0.10812485 2.57610598 1.89455920 0.10957285 2.70176968 1.90642188 0.11083851 2.82743339 1.91495649 0.11192090 2.95309709 1.92053762 0.11283209 3.07876080 1.92351616 0.11359229 3.20442451 1.92421090 0.11422165 3.33008821 1.92290566 0.11473677 3.45575192 1.91985325 0.11515230 3.58141563 1.91527994 0.11548254 3.70707933 1.90938706 0.11574064 3.83274304 1.90235124 0.11593667 3.95840674 1.89432540 0.11607685 4.08407045 1.88544151 0.11616412 4.20973416 1.87581428 0.11619970 4.33539786 1.86554466 0.11618443 4.46106157 1.85472266 0.11611971 4.58672527 1.84342923 0.11600787 4.71238898 1.83173717 0.11585193 4.83805269 1.81971189 0.11565524 4.96371639 1.80741174 0.11542110 5.08938010 1.79488881 0.11515263 5.21504380 1.78218951 0.11485283 5.34070751 1.76935509 0.11452447 5.46637122 1.75642226 0.11417029 5.59203492 1.74342358 0.11379294 5.71769863 1.73038765 0.11339481 5.84336234 1.71733956 0.11297808 5.96902604 1.70430104 0.11254456 6.09468975 1.69129096 0.11209583 6.22035345 1.67832534 0.11163302 6.34601716 1.66541803 0.11115712 6.47168087 1.65258099 0.11066906 6.59734457 1.63982446 0.11016966 6.72300828 1.62715759 0.10965989 6.84867198 1.61458843 0.10914087 6.97433569 1.60212414 0.10861378 7.09999940 1.58977112 0.10807991 7.22566310 1.57753485 0.10754046 7.35132681 1.56542007 0.10699658 7.47699052 1.55343054 0.10644915 7.60265422 1.54156934 0.10589894 7.72831793 1.52983870 0.10534648 7.85398163 1.51824025 0.10479215 7.97964534 1.50677499 0.10423620 8.10530905 1.49544348 0.10367882 8.23097275 1.48424592 0.10312013 8.35663646 1.47318216 0.10256027 8.48230016 1.46225199 0.10199946 8.60796387 1.45145491 0.10143792 8.73362758 1.44079033 0.10087588 8.85929128 1.43025770 0.10031377 8.98495499 1.41985609 0.09975178 9.11061870 1.40958481 0.09919043 9.23628240 1.39944272 0.09862994 9.36194611 1.38942875 0.09807065 9.48760981 1.37954165 0.09751284 9.61327352 1.36977998 0.09695668 9.73893723 1.36014226 0.09640235 9.86460093 1.35062682 0.09584996 9.99026464 1.34123188 0.09529951 10.11592834 1.33195567 0.09475106 10.24159205 1.32279625 0.09420455 10.36725576 1.31375197 0.09366015 10.49291946 1.30482077 0.09311771 10.61858317 1.29600098 0.09257738 10.74424688 1.28729071 0.09203912 10.86991058 1.27868830 0.09150308 10.99557429 1.27019205 0.09096935 11.12123799 1.26180031 0.09043804 11.24690170 1.25351151 0.08990933 11.37256541 1.24532408 0.08938335 11.49822911 1.23723646 0.08886023 11.62389282 1.22924720 0.08834018 11.74955652 1.22135475 0.08782329 11.87522023 1.21355764 0.08730971 12.00088394 1.20585438 0.08679954 12.12654764 1.19824353 0.08629290 12.25221135 1.19072359 0.08578985 12.37787506 1.18329318 0.08529051 12.50353876 1.17595082 0.08479491 12.62920247 1.16869502 0.08430304 12.75486617 1.16152453 0.08381506 12.88052988 1.15443784 0.08333091 13.00619359 1.14743364 0.08285065 13.13185729 1.14051056 0.08237428 13.25752100 1.13366728 0.08190182 13.38318470 1.12690246 0.08143325 13.50884841 1.12021484 0.08096858 13.63451212 1.11360316 0.08050782 13.76017582 1.10706613 0.08005092 13.88583953 1.10060254 0.07959788 14.01150324 1.09421115 0.07914865 14.13716694 1.08789083 0.07870325 14.26283065 1.08164028 0.07826156 14.38849435 1.07545851 0.07782366 14.51415806 1.06934422 0.07738939 14.63982177 1.06329643 0.07695880 14.76548547 1.05731401 0.07653182 14.89114918 1.05139584 0.07610838 15.01681288 1.04554097 0.07568852 15.14247659 1.03974831 0.07527212 15.26814030 1.03401693 0.07485922 15.39380400 1.02834578 0.07444972 15.51946771 1.02273398 0.07404363 15.64513141 1.01718057 0.07364093 15.77079512 1.01168462 0.07324155 15.89645883 1.00624525 0.07284546 16.02212253 1.00086165 0.07245270 16.14778624 0.99553288 0.07206317 16.27344995 0.99025817 0.07167689 16.39911365 0.98503671 0.07129385 16.52477736 0.97986765 0.07091396 16.65044106 0.97475029 0.07053728 16.77610477 0.96968378 0.07016372 16.90176848 0.96466744 0.06979331 17.02743218 0.95970047 0.06942597 17.15309589 0.95478219 0.06906171 17.27875959 0.94991189 0.06870050 17.40442330 0.94508885 0.06834231 17.53008701 0.94031241 0.06798711 17.65575071 0.93558189 0.06763488 17.78141442 0.93089663 0.06728558 17.90707813 0.92625599 0.06693920 18.03274183 0.92165931 0.06659569 18.15840554 0.91710603 0.06625505 18.28406924 0.91259547 0.06591722 18.40973295 0.90812710 0.06558222 18.53539666 0.90370027 0.06524996 18.66106036 0.89931445 0.06492047 18.78672407 0.89496906 0.06459369 18.91238777 0.89066354 0.06426961 19.03805148 0.88639734 0.06394818 19.16371519 0.88216995 0.06362940 19.28937889 0.87798086 0.06331326 19.41504260 0.87382950 0.06299968 19.54070631 0.86971544 0.06268870 19.66637001 0.86563814 0.06238025 19.79203372 0.86159713 0.06207433 19.91769742 0.85759193 0.06177090 20.04336113 0.85362209 0.06146996 20.16902484 0.84968712 0.06117146 20.29468854 0.84578660 0.06087540 20.42035225 0.84192007 0.06058175 20.54601595 0.83808709 0.06029047 20.67167966 0.83428725 0.06000156 20.79734337 0.83052011 0.05971498 20.92300707 0.82678527 0.05943072 21.04867078 0.82308232 0.05914874 21.17433449 0.81941085 0.05886904 21.29999819 0.81577048 0.05859157 21.42566190 0.81216082 0.05831633 21.55132560 0.80858148 0.05804328 21.67698931 0.80503210 0.05777242 21.80265302 0.80151230 0.05750370 21.92831672 0.79802173 0.05723712 22.05398043 0.79456001 0.05697264 22.17964413 0.79112684 0.05671027 22.30530784 0.78772183 0.05644995 22.43097155 0.78434467 0.05619170 22.55663525 0.78099501 0.05593547 22.68229896 0.77767255 0.05568126 22.80796267 0.77437694 0.05542905 22.93362637 0.77110791 0.05517882 23.05929008 0.76786511 0.05493056 23.18495378 0.76464826 0.05468424 23.31061749 0.76145705 0.05443987 23.43628120 0.75829120 0.05419740 23.56194490 0.75515041 0.05395685 23.68760861 0.75203441 0.05371819 23.81327231 0.74894292 0.05348141 23.93893602 0.74587565 0.05324649 24.06459973 0.74283235 0.05301342 24.19026343 0.73981274 0.05278220 24.31592714 0.73681657 0.05255280 24.44159084 0.73384358 0.05232522 24.56725455 0.73089350 0.05209943 24.69291826 0.72796610 0.05187544 24.81858196 0.72506112 0.05165322 24.94424567 0.72217833 0.05143276 25.06990938 0.71931748 0.05121404 25.19557308 0.71647833 0.05099706 25.44690049 0.71086420 0.05056825 25.57256420 0.70808877 0.05035639 25.82389161 0.70260003 0.04993768 25.94955532 0.69988628 0.04973080 26.20088273 0.69451894 0.04932193 26.32654644 0.69186492 0.04911990 26.57787385 0.68661515 0.04872058 26.82920126 0.68144168 0.04832747 26.95486497 0.67888306 0.04813321 27.20619238 0.67382106 0.04774917 27.45751979 0.66883144 0.04737102 27.58318350 0.66636330 0.04718411 27.83451091 0.66147943 0.04681454 28.08583832 0.65666426 0.04645053 28.21150203 0.65428198 0.04627057 28.46282944 0.64956720 0.04591467 28.71415685 0.64491764 0.04556402 28.96548427 0.64033200 0.04521849 29.09114797 0.63806274 0.04504762 29.34247538 0.63357056 0.04470957 29.59380280 0.62913914 0.04437637 29.84513021 0.62476728 0.04404790 30.09645762 0.62045381 0.04372407 30.34778503 0.61619759 0.04340476 30.47344874 0.61409059 0.04324678 30.72477615 0.60991817 0.04293408 30.97610356 0.60580028 0.04262568 31.22743098 0.60173588 0.04232148 31.47875839 0.59772396 0.04202140 31.73008580 0.59376353 0.04172535 31.98141321 0.58985363 0.04143324 32.23274063 0.58599332 0.04114501 32.48406804 0.58218168 0.04086057 32.73539545 0.57841783 0.04057985 32.98672286 0.57470089 0.04030279 33.23805027 0.57103002 0.04002930 33.48937769 0.56740438 0.03975933 33.74070510 0.56382317 0.03949280 33.99203251 0.56028559 0.03922965 34.24335992 0.55679087 0.03896983 34.49468734 0.55333827 0.03871326 34.74601475 0.54992704 0.03845990 34.99734216 0.54655646 0.03820968 35.37433328 0.54157528 0.03784012 35.62566069 0.53830330 0.03759752 35.87698810 0.53506957 0.03735787 36.12831552 0.53187346 0.03712113 36.37964293 0.52871433 0.03688723 36.75663405 0.52404360 0.03654163 37.00796146 0.52097422 0.03631465 37.25928887 0.51793970 0.03609036 37.51061628 0.51493946 0.03586870 37.88760740 0.51050217 0.03554107 38.13893481 0.50758521 0.03532582 38.39026223 0.50470062 0.03511306 38.76725335 0.50043329 0.03479849 39.01858076 0.49762736 0.03459177 39.39557188 0.49347566 0.03428608 39.64689929 0.49074529 0.03408516 39.89822670 0.48804431 0.03388649 40.27521782 0.48404694 0.03359263 40.52654523 0.48141745 0.03339944 40.90353635 0.47752524 0.03311364 41.15486376 0.47496449 0.03292570 41.53185488 0.47117343 0.03264764 41.78318229 0.46867883 0.03246476 42.16017341 0.46498511 0.03219413 42.53716453 0.46134804 0.03192783 42.78849194 0.45895418 0.03175264 43.16548306 0.45540874 0.03149333 43.41681047 0.45307483 0.03132272 43.79380159 0.44961768 0.03107013 44.17079271 0.44621195 0.03082145 44.54778383 0.44285653 0.03057661 44.79911124 0.44064700 0.03041546 45.17610236 0.43737304 0.03017681 45.55309348 0.43414656 0.02994176 45.93008460 0.43096656 0.02971024 46.18141201 0.42887190 0.02955782 46.55840313 0.42576720 0.02933201 46.93539424 0.42270643 0.02910953 47.31238536 0.41968868 0.02889031 47.68937648 0.41671306 0.02867428 48.06636760 0.41377871 0.02846137 48.44335872 0.41088479 0.02825151 48.82034984 0.40803050 0.02804465 49.19734096 0.40521502 0.02784072 49.57433207 0.40243759 0.02763966 49.95132319 0.39969745 0.02744141 50.32831431 0.39699387 0.02724592 50.70530543 0.39432614 0.02705312 51.08229655 0.39169354 0.02686297 51.45928767 0.38909542 0.02667542 51.83627878 0.38653109 0.02649040 52.33893361 0.38316345 0.02624758 52.71592473 0.38067551 0.02606830 53.09291585 0.37821927 0.02589139 53.46990696 0.37579415 0.02571683 53.97256179 0.37260805 0.02548762 54.34955291 0.37025330 0.02531832 54.72654403 0.36792778 0.02515121 55.22919885 0.36487163 0.02493173 55.60618997 0.36261227 0.02476957 55.98318109 0.36038040 0.02460946 56.48583591 0.35744651 0.02439911 56.86282703 0.35527691 0.02424365 57.36548185 0.35242432 0.02403936 57.74247297 0.35031444 0.02388835 58.24512780 0.34753986 0.02368987 58.62211892 0.34548730 0.02354313 59.12477374 0.34278759 0.02335022 59.62742857 0.34012933 0.02316039 60.00441968 0.33816227 0.02302000 60.50707451 0.33557429 0.02283540 61.00972933 0.33302525 0.02265368 61.38672045 0.33113850 0.02251924 61.88937528 0.32865552 0.02234242 62.39203010 0.32620915 0.02216830 62.89468492 0.32379859 0.02199684 63.39733975 0.32142308 0.02182797 63.89999457 0.31908185 0.02166163 64.40264940 0.31677417 0.02149777 64.77964052 0.31506501 0.02137646 65.28229534 0.31281435 0.02121681 65.78495017 0.31059534 0.02105948 66.41326870 0.30786507 0.02086603 66.91592352 0.30571488 0.02071378 67.41857835 0.30359425 0.02056370 67.92123317 0.30150259 0.02041575 68.42388800 0.29943931 0.02026988 68.92654282 0.29740384 0.02012606 69.42919764 0.29539562 0.01998424 70.05751618 0.29292285 0.01980971 70.56017100 0.29097399 0.01967224 71.06282582 0.28905068 0.01953663 71.69114435 0.28668171 0.01936971 72.19379918 0.28481408 0.01923818 72.82211771 0.28251321 0.01907623 73.32477253 0.28069889 0.01894860 73.95309107 0.27846323 0.01879142 74.45574589 0.27669997 0.01866751 75.08406442 0.27452680 0.01851489 75.58671925 0.27281249 0.01839455 76.21503778 0.27069923 0.01824629 76.84335631 0.26861820 0.01810037 77.34601113 0.26697609 0.01798529 77.97432966 0.26495124 0.01784346 78.60264819 0.26295663 0.01770382 79.23096672 0.26099158 0.01756633 79.85928525 0.25905546 0.01743094 80.36194008 0.25752695 0.01732411 80.99025861 0.25564129 0.01719237 81.61857714 0.25378283 0.01706261 82.24689567 0.25195098 0.01693477 82.87521420 0.25014517 0.01680882 83.62919644 0.24801181 0.01666010 84.25751497 0.24626138 0.01653815 84.88583350 0.24453530 0.01641795 85.51415203 0.24283305 0.01629947 86.14247056 0.24115414 0.01618268 86.89645280 0.23916960 0.01604470 87.52477133 0.23754040 0.01593148 88.15308986 0.23593307 0.01581984 88.90707210 0.23403252 0.01568790 89.53539063 0.23247178 0.01557961 90.28937286 0.23062593 0.01545160 90.91769139 0.22910978 0.01534651 91.67167363 0.22731631 0.01522226 92.42565587 0.22555046 0.01509999 93.05397440 0.22409958 0.01499958 93.80795664 0.22238277 0.01488082 94.56193887 0.22069186 0.01476391 95.19025740 0.21930212 0.01466787 95.94423964 0.21765719 0.01455425 96.69822188 0.21603654 0.01444237 97.45220411 0.21443966 0.01433218 98.20618635 0.21286601 0.01422364 98.96016859 0.21131511 0.01411673 99.71415082 0.20978647 0.01401140 100.46813306 0.20827960 0.01390763 101.34777900 0.20654849 0.01378847 102.10176124 0.20508724 0.01368793 102.85574348 0.20364636 0.01358885 103.60972572 0.20222541 0.01349117 104.48937166 0.20059229 0.01337897 105.24335390 0.19921316 0.01328427 106.12299984 0.19762776 0.01317545 106.87698208 0.19628862 0.01308358 107.75662802 0.19474887 0.01297799 108.51061025 0.19344802 0.01288883 109.39025620 0.19195198 0.01278633 110.26990214 0.19047872 0.01268544 111.14954808 0.18902771 0.01258613 111.90353032 0.18780133 0.01250222 112.78317626 0.18639035 0.01240573 113.66282221 0.18500025 0.01231071 114.54246815 0.18363055 0.01221712 115.42211409 0.18228083 0.01212494 116.30176004 0.18095064 0.01203414 117.18140598 0.17963956 0.01194467 118.18671563 0.17816408 0.01184404 119.06636157 0.17689261 0.01175736 119.94600751 0.17563902 0.01167193 120.95131716 0.17422775 0.01157580 121.83096311 0.17301121 0.01149297 122.83627276 0.17164136 0.01139974 123.71591870 0.17046026 0.01131939 124.72122835 0.16913003 0.01122894 125.60087429 0.16798286 0.01115096 126.60618394 0.16669056 0.01106315 127.61149359 0.16541784 0.01097671 128.61680324 0.16416425 0.01089161 129.62211289 0.16292937 0.01080781 130.62742254 0.16171279 0.01072528 131.63273219 0.16051409 0.01064400 132.63804183 0.15933290 0.01056394 133.64335148 0.15816883 0.01048507 134.64866113 0.15702152 0.01040736 135.65397078 0.15589060 0.01033080 136.78494414 0.15463749 0.01024599 137.79025379 0.15354027 0.01017177 138.92122714 0.15232422 0.01008953 139.92653679 0.15125922 0.01001754 141.05751015 0.15007863 0.00993776 142.06281980 0.14904446 0.00986790 143.19379315 0.14789780 0.00979048 144.32476651 0.14676852 0.00971425 145.45573986 0.14565623 0.00963920 146.58671322 0.14456054 0.00956529 147.71768657 0.14348109 0.00949251 148.84865993 0.14241753 0.00942082 149.97963328 0.14136950 0.00935020 151.11060664 0.14033668 0.00928064 152.24157999 0.13931872 0.00921209 153.49821705 0.13820472 0.00913711 154.62919041 0.13721714 0.00907065 155.88582747 0.13613613 0.00899794 157.01680083 0.13517757 0.00893348 158.27343789 0.13412811 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