# omega total a= 1 L= 2 0.06283185 0.26396205 0.08946516 0.18849556 0.37603151 0.08012270 0.31415927 0.51066283 0.08796933 0.43982297 0.64081835 0.09573928 0.56548668 0.76689102 0.10419821 0.69115038 0.88572141 0.11190664 0.81681409 0.99723680 0.11923794 0.94247780 1.10043778 0.12567892 1.06814150 1.19538433 0.13135566 1.19380521 1.28226615 0.13642662 1.31946891 1.36094005 0.14069344 1.44513262 1.43174158 0.14422206 1.57079633 1.49505608 0.14710642 1.69646003 1.55134517 0.14946196 1.82212374 1.60112536 0.15141292 1.94778745 1.64484361 0.15300465 2.07345115 1.68292627 0.15425731 2.19911486 1.71583383 0.15521910 2.32477856 1.74400441 0.15592804 2.45044227 1.76783229 0.15640208 2.57610598 1.78769415 0.15666426 2.70176968 1.80395847 0.15674859 2.82743339 1.81697070 0.15668384 2.95309709 1.82704257 0.15648371 3.07876080 1.83445872 0.15615499 3.20442451 1.83948856 0.15571045 3.33008821 1.84238867 0.15517118 3.45575192 1.84339642 0.15455949 3.58141563 1.84272401 0.15389155 3.70707933 1.84055747 0.15317523 3.83274304 1.83706003 0.15241242 3.95840674 1.83237690 0.15160257 4.08407045 1.82663929 0.15074553 4.20973416 1.81996712 0.14984278 4.33539786 1.81247030 0.14889746 4.46106157 1.80424966 0.14791417 4.58672527 1.79539779 0.14689889 4.71238898 1.78600006 0.14585908 4.83805269 1.77613489 0.14480306 4.96371639 1.76587381 0.14373930 5.08938010 1.75528081 0.14267515 5.21504380 1.74441168 0.14161562 5.34070751 1.73331422 0.14056311 5.46637122 1.72202882 0.13951747 5.59203492 1.71058979 0.13847694 5.71769863 1.69902696 0.13743911 5.84336234 1.68736702 0.13640198 5.96902604 1.67563465 0.13536454 6.09468975 1.66385291 0.13432695 6.22035345 1.65204360 0.13329056 6.34601716 1.64022693 0.13225746 6.47168087 1.62842141 0.13123002 6.59734457 1.61664353 0.13021055 6.72300828 1.60490774 0.12920096 6.84867198 1.59322613 0.12820239 6.97433569 1.58160885 0.12721540 7.09999940 1.57006419 0.12623990 7.22566310 1.55859879 0.12527528 7.35132681 1.54721803 0.12432063 7.47699052 1.53592636 0.12337494 7.60265422 1.52472769 0.12243744 7.72831793 1.51362551 0.12150759 7.85398163 1.50262311 0.12058520 7.97964534 1.49172350 0.11967036 8.10530905 1.48092944 0.11876334 8.23097275 1.47024357 0.11786470 8.35663646 1.45966800 0.11697489 8.48230016 1.44920432 0.11609422 8.60796387 1.43885376 0.11522292 8.73362758 1.42861698 0.11436099 8.85929128 1.41849414 0.11350822 8.98495499 1.40848513 0.11266435 9.11061870 1.39858946 0.11182897 9.23628240 1.38880645 0.11100168 9.36194611 1.37913534 0.11018212 9.48760981 1.36957524 0.10936998 9.61327352 1.36012532 0.10856510 9.73893723 1.35078468 0.10776735 9.86460093 1.34155252 0.10697678 9.99026464 1.33242806 0.10619350 10.11592834 1.32341040 0.10541763 10.24159205 1.31449886 0.10464948 10.36725576 1.30569248 0.10388917 10.49291946 1.29699042 0.10313699 10.61858317 1.28839176 0.10239314 10.74424688 1.27989547 0.10165777 10.86991058 1.27150043 0.10093097 10.99557429 1.26320551 0.10021284 11.12123799 1.25500948 0.09950336 11.24690170 1.24691104 0.09880251 11.37256541 1.23890885 0.09811021 11.49822911 1.23100150 0.09742632 11.62389282 1.22318758 0.09675071 11.74955652 1.21546564 0.09608318 11.87522023 1.20783426 0.09542359 12.00088394 1.20029189 0.09477167 12.12654764 1.19283716 0.09412728 12.25221135 1.18546859 0.09349022 12.37787506 1.17818479 0.09286029 12.50353876 1.17098439 0.09223737 12.62920247 1.16386606 0.09162132 12.75486617 1.15682842 0.09101194 12.88052988 1.14987029 0.09040922 13.00619359 1.14299038 0.08981302 13.13185729 1.13618746 0.08922325 13.25752100 1.12946040 0.08863989 13.38318470 1.12280796 0.08806281 13.50884841 1.11622915 0.08749205 13.63451212 1.10972271 0.08692747 13.76017582 1.10328764 0.08636908 13.88583953 1.09692284 0.08581680 14.01150324 1.09062716 0.08527051 14.13716694 1.08439965 0.08473024 14.26283065 1.07823917 0.08419583 14.38849435 1.07214471 0.08366722 14.51415806 1.06611527 0.08314435 14.63982177 1.06014975 0.08262707 14.76548547 1.05424723 0.08211534 14.89114918 1.04840666 0.08160900 15.01681288 1.04262706 0.08110797 15.14247659 1.03690750 0.08061215 15.26814030 1.03124702 0.08012145 15.39380400 1.02564470 0.07963575 15.51946771 1.02009963 0.07915496 15.64513141 1.01461099 0.07867906 15.77079512 1.00917785 0.07820790 15.89645883 1.00379946 0.07774147 16.02212253 0.99847494 0.07727966 16.14778624 0.99320355 0.07682245 16.27344995 0.98798450 0.07636977 16.39911365 0.98281705 0.07592158 16.52477736 0.97770047 0.07547785 16.65044106 0.97263403 0.07503852 16.77610477 0.96761709 0.07460360 16.90176848 0.96264889 0.07417300 17.02743218 0.95772886 0.07374679 17.15309589 0.95285627 0.07332483 17.27875959 0.94803050 0.07290715 17.40442330 0.94325093 0.07249371 17.53008701 0.93851691 0.07208446 17.65575071 0.93382786 0.07167940 17.78141442 0.92918315 0.07127847 17.90707813 0.92458217 0.07088161 18.03274183 0.92002436 0.07048881 18.15840554 0.91550910 0.07010000 18.28406924 0.91103586 0.06971516 18.40973295 0.90660403 0.06933422 18.53539666 0.90221308 0.06895715 18.66106036 0.89786243 0.06858386 18.78672407 0.89355157 0.06821434 18.91238777 0.88927993 0.06784850 19.03805148 0.88504700 0.06748631 19.16371519 0.88085223 0.06712768 19.28937889 0.87669515 0.06677259 19.41504260 0.87257524 0.06642099 19.54070631 0.86849197 0.06607277 19.66637001 0.86444488 0.06572793 19.79203372 0.86043350 0.06538639 19.91769742 0.85645736 0.06504812 20.04336113 0.85251596 0.06471302 20.16902484 0.84860889 0.06438109 20.29468854 0.84473568 0.06405227 20.42035225 0.84089589 0.06372648 20.54601595 0.83708911 0.06340372 20.67167966 0.83331487 0.06308387 20.79734337 0.82957279 0.06276696 20.92300707 0.82586245 0.06245290 21.04867078 0.82218344 0.06214165 21.17433449 0.81853538 0.06183318 21.29999819 0.81491787 0.06152743 21.42566190 0.81133053 0.06122438 21.55132560 0.80777297 0.06092396 21.67698931 0.80424485 0.06062616 21.80265302 0.80074578 0.06033091 21.92831672 0.79727541 0.06003820 22.05398043 0.79383342 0.05974799 22.17964413 0.79041942 0.05946023 22.30530784 0.78703311 0.05917490 22.43097155 0.78367417 0.05889199 22.55663525 0.78034221 0.05861141 22.68229896 0.77703700 0.05833319 22.80796267 0.77375816 0.05805727 22.93362637 0.77050542 0.05778363 23.05929008 0.76727848 0.05751227 23.18495378 0.76407703 0.05724313 23.31061749 0.76090081 0.05697623 23.43628120 0.75774949 0.05671149 23.56194490 0.75462287 0.05644898 23.68760861 0.75152059 0.05618857 23.81327231 0.74844246 0.05593036 23.93893602 0.74538814 0.05567423 24.06459973 0.74235744 0.05542023 24.19026343 0.73935009 0.05516833 24.31592714 0.73636579 0.05491848 24.44159084 0.73340437 0.05467073 24.56725455 0.73046553 0.05442502 24.69291826 0.72754906 0.05418134 24.81858196 0.72465471 0.05393968 24.94424567 0.72178227 0.05370005 25.06990938 0.71893148 0.05346240 25.19557308 0.71610214 0.05322673 25.44690049 0.71050687 0.05276127 25.57256420 0.70774049 0.05253144 25.82389161 0.70226922 0.05207755 25.94955532 0.69956389 0.05185344 26.20088273 0.69421280 0.05141081 26.32654644 0.69156662 0.05119225 26.57787385 0.68633200 0.05076058 26.82920126 0.68117305 0.05033604 26.95486497 0.67862144 0.05012639 27.20619238 0.67357306 0.04971225 27.45751979 0.66859651 0.04930486 27.58318350 0.66613470 0.04910365 27.83451091 0.66126312 0.04870608 28.08583832 0.65645977 0.04831487 28.21150203 0.65408323 0.04812161 28.46282944 0.64937960 0.04773965 28.71415685 0.64474078 0.04736367 28.96548427 0.64016546 0.04699352 29.09114797 0.63790122 0.04681059 29.34247538 0.63341879 0.04644891 29.59380280 0.62899675 0.04609272 29.84513021 0.62463392 0.04574187 30.09645762 0.62032913 0.04539622 30.34778503 0.61608125 0.04505567 30.47344874 0.61397832 0.04488727 30.72477615 0.60981376 0.04455413 30.97610356 0.60570343 0.04422578 31.22743098 0.60164630 0.04390212 31.47875839 0.59764135 0.04358304 31.73008580 0.59368761 0.04326844 31.98141321 0.58978413 0.04295822 32.23274063 0.58592998 0.04265229 32.48406804 0.58212425 0.04235055 32.73539545 0.57836607 0.04205291 32.98672286 0.57465456 0.04175930 33.23805027 0.57098888 0.04146963 33.48937769 0.56736823 0.04118382 33.74070510 0.56379178 0.04090180 33.99203251 0.56025877 0.04062348 34.24335992 0.55676843 0.04034879 34.49468734 0.55332001 0.04007768 34.74601475 0.54991278 0.03981006 34.99734216 0.54654603 0.03954587 35.37433328 0.54157028 0.03915587 35.62566069 0.53830172 0.03889998 35.87698810 0.53507126 0.03864730 36.12831552 0.53187827 0.03839778 36.37964293 0.52872211 0.03815135 36.75663405 0.52405560 0.03778739 37.00796146 0.52098888 0.03754846 37.25928887 0.51795689 0.03731243 37.51061628 0.51495907 0.03707927 37.88760740 0.51052518 0.03673476 38.13893481 0.50761037 0.03650851 38.39026223 0.50472782 0.03628495 38.76725335 0.50046336 0.03595454 39.01858076 0.49765923 0.03573749 39.39557188 0.49351006 0.03541664 39.64689929 0.49078128 0.03520583 39.89822670 0.48808181 0.03499744 40.27521782 0.48408656 0.03468931 40.52654523 0.48145838 0.03448681 40.90353635 0.47756802 0.03418732 41.15486376 0.47500842 0.03399046 41.53185488 0.47121897 0.03369926 41.78318229 0.46872536 0.03350782 42.16017341 0.46503303 0.03322458 42.53716453 0.46139723 0.03294598 42.78849194 0.45900414 0.03276275 43.16548306 0.45545979 0.03249161 43.41681047 0.45312654 0.03231327 43.79380159 0.44967029 0.03204931 44.17079271 0.44626538 0.03178952 44.54778383 0.44291069 0.03153381 44.79911124 0.44070160 0.03136555 45.17610236 0.43742822 0.03111643 45.55309348 0.43420226 0.03087115 45.93008460 0.43102270 0.03062962 46.18141201 0.42892830 0.03047064 46.55840313 0.42582393 0.03023517 46.93539424 0.42276343 0.03000323 47.31238536 0.41974589 0.02977476 47.68937648 0.41677043 0.02954966 48.06636760 0.41383619 0.02932787 48.44335872 0.41094233 0.02910931 48.82034984 0.40808804 0.02889393 49.19734096 0.40527253 0.02868164 49.57433207 0.40249503 0.02847239 49.95132319 0.39975479 0.02826611 50.32831431 0.39705106 0.02806275 50.70530543 0.39438314 0.02786223 51.08229655 0.39175034 0.02766451 51.45928767 0.38915197 0.02746952 51.83627878 0.38658737 0.02727721 52.33893361 0.38321933 0.02702488 52.71592473 0.38073105 0.02683861 53.09291585 0.37827446 0.02665486 53.46990696 0.37584896 0.02647356 53.97256179 0.37266233 0.02623556 54.34955291 0.37030715 0.02605981 54.72654403 0.36798119 0.02588636 55.22919885 0.36492443 0.02565859 55.60618997 0.36266459 0.02549034 55.98318109 0.36043223 0.02532424 56.48583591 0.35749766 0.02510607 56.86282703 0.35532754 0.02494485 57.36548185 0.35247424 0.02473304 57.74247297 0.35036382 0.02457649 58.24512780 0.34758849 0.02437078 58.62211892 0.34553536 0.02421870 59.12477374 0.34283488 0.02401882 59.62742857 0.34017584 0.02382217 60.00441968 0.33820818 0.02367675 60.50707451 0.33561940 0.02348556 61.00972933 0.33306955 0.02329740 61.38672045 0.33118218 0.02315821 61.88937528 0.32869838 0.02297517 62.39203010 0.32625118 0.02279496 62.89468492 0.32383979 0.02261752 63.39733975 0.32146343 0.02244278 63.89999457 0.31912136 0.02227069 64.40264940 0.31681283 0.02210119 64.77964052 0.31510303 0.02197573 65.28229534 0.31285152 0.02181062 65.78495017 0.31063166 0.02164795 66.41326870 0.30790033 0.02144794 66.91592352 0.30574928 0.02129055 67.41857835 0.30362780 0.02113543 67.92123317 0.30153529 0.02098253 68.42388800 0.29947116 0.02083180 68.92654282 0.29743485 0.02068320 69.42919764 0.29542578 0.02053668 70.05751618 0.29295196 0.02035639 70.56017100 0.29100227 0.02021441 71.06282582 0.28907813 0.02007437 71.69114435 0.28670812 0.01990199 72.19379918 0.28483967 0.01976619 72.82211771 0.28253777 0.01959900 73.32477253 0.28072263 0.01946725 73.95309107 0.27848596 0.01930501 74.45574589 0.27672190 0.01917714 75.08406442 0.27454774 0.01901963 75.58671925 0.27283264 0.01889546 76.21503778 0.27071840 0.01874250 76.84335631 0.26863640 0.01859196 77.34601113 0.26699352 0.01847325 77.97432966 0.26496772 0.01832696 78.60264819 0.26297216 0.01818295 79.23096672 0.26100619 0.01804116 79.85928525 0.25906914 0.01790156 80.36194008 0.25753990 0.01779140 80.99025861 0.25565334 0.01765559 81.61857714 0.25379398 0.01752182 82.24689567 0.25196125 0.01739004 82.87521420 0.25015457 0.01726022 83.62919644 0.24802017 0.01710695 84.25751497 0.24626890 0.01698128 84.88583350 0.24454198 0.01685742 85.51415203 0.24283890 0.01673535 86.14247056 0.24115918 0.01661502 86.89645280 0.23917368 0.01647287 87.52477133 0.23754369 0.01635625 88.15308986 0.23593558 0.01624125 88.90707210 0.23403411 0.01610536 89.53539063 0.23247261 0.01599383 90.28937286 0.23062586 0.01586201 90.91769139 0.22910898 0.01575379 91.67167363 0.22731464 0.01562585 92.42565587 0.22554794 0.01549996 93.05397440 0.22409636 0.01539659 93.80795664 0.22237873 0.01527433 94.56193887 0.22068701 0.01515399 95.19025740 0.21929661 0.01505513 95.94423964 0.21765089 0.01493819 96.69822188 0.21602948 0.01482304 97.45220411 0.21443184 0.01470964 98.20618635 0.21285746 0.01459795 98.96016859 0.21130584 0.01448793 99.71415082 0.20977648 0.01437956 100.46813306 0.20826891 0.01427278 101.34777900 0.20653701 0.01415019 102.10176124 0.20507509 0.01404677 102.85574348 0.20363355 0.01394483 103.60972572 0.20221196 0.01384436 104.48937166 0.20057811 0.01372896 105.24335390 0.19919837 0.01363155 106.12299984 0.19761226 0.01351963 106.87698208 0.19627254 0.01342515 107.75662802 0.19473211 0.01331656 108.51061025 0.19343070 0.01322487 109.39025620 0.19193402 0.01311948 110.26990214 0.19046013 0.01301575 111.14954808 0.18900852 0.01291363 111.90353032 0.18778163 0.01282737 112.78317626 0.18637006 0.01272817 113.66282221 0.18497939 0.01263048 114.54246815 0.18360914 0.01253428 115.42211409 0.18225887 0.01243952 116.30176004 0.18092816 0.01234618 117.18140598 0.17961657 0.01225423 118.18671563 0.17814052 0.01215079 119.06636157 0.17686856 0.01206171 119.94600751 0.17561450 0.01197391 120.95131716 0.17420270 0.01187512 121.83096311 0.17298571 0.01179000 122.83627276 0.17161536 0.01169420 123.71591870 0.17043385 0.01161164 124.72122835 0.16910314 0.01151869 125.60087429 0.16795557 0.01143857 126.60618394 0.16666283 0.01134836 127.61149359 0.16538968 0.01125955 128.61680324 0.16413568 0.01117212 129.62211289 0.16290040 0.01108603 130.62742254 0.16168343 0.01100125 131.63273219 0.16048436 0.01091775 132.63804183 0.15930280 0.01083551 133.64335148 0.15813838 0.01075450 134.64866113 0.15699072 0.01067468 135.65397078 0.15585947 0.01059604 136.78494414 0.15460600 0.01050894 137.79025379 0.15350847 0.01043270 138.92122714 0.15229209 0.01034825 139.92653679 0.15122681 0.01027431 141.05751015 0.15004591 0.01019238 142.06281980 0.14901148 0.01012064 143.19379315 0.14786453 0.01004113 144.32476651 0.14673497 0.00996286 145.45573986 0.14562241 0.00988579 146.58671322 0.14452647 0.00980991 147.71768657 0.14344678 0.00973517 148.84865993 0.14238298 0.00966157 149.97963328 0.14133473 0.00958906 151.11060664 0.14030169 0.00951764 152.24157999 0.13928353 0.00944726 153.49821705 0.13816931 0.00937028 154.62919041 0.13718154 0.00930206 155.88582747 0.13610033 0.00922741 157.01680083 0.13514161 0.00916124 158.27343789 0.13409197 0.00908882 159.53007495 0.13305840 0.00901753 160.66104830 0.13214162 0.00895432 161.91768537 0.13113758 0.00888512 163.17432243 0.13014858 0.00881697 164.43095949 0.12917428 0.00874986 165.68759655 0.12821437 0.00868377 167.06989732 0.12717469 0.00861220 168.32653438 0.12624396 0.00854816 169.58317144 0.12532667 0.00848505 170.96547221 0.12433282 0.00841671 172.22210927 0.12344281 0.00835552 173.60441004 0.12247831 0.00828923 174.86104710 0.12161439 0.00822988 176.24334787 0.12067796 0.00816556 177.62564863 0.11975575 0.00810223 179.00794940 0.11884744 0.00803988 180.39025017 0.11795272 0.00797848 181.77255094 0.11707129 0.00791801 183.15485170 0.11620286 0.00785844 184.66281618 0.11526996 0.00779448 186.04511695 0.11442779 0.00773675 187.42741771 0.11359777 0.00767987 188.93538219 0.11270583 0.00761876 190.31768295 0.11190036 0.00756359 191.82564743 0.11103463 0.00750431 193.33361190 0.11018211 0.00744595 194.84157638 0.10934251 0.00738849 196.34954085 0.10851553 0.00733191 197.85750532 0.10770090 0.00727619 199.36546980 0.10689835 0.00722130 200.87343427 0.10610760 0.00716724 202.50706245 0.10526398 0.00710958 204.01502692 0.10449701 0.00705717 205.64865510 0.10367858 0.00700125 207.15661958 0.10293433 0.00695042 208.79024776 0.10213998 0.00689617 210.42387594 0.10135772 0.00684277 212.05750412 0.10058729 0.00679018 213.69113230 0.09982843 0.00673840 215.32476048 0.09908088 0.00668740 216.95838866 0.09834438 0.00663716 218.59201684 0.09761870 0.00658768 220.35130872 0.09684903 0.00653520 221.98493690 0.09614506 0.00648722 223.74422879 0.09539825 0.00643632 225.50352067 0.09466290 0.00638622 227.26281256 0.09393874 0.00633689 229.02210445 0.09322553 0.00628832 230.78139633 0.09252302 0.00624048 232.54068822 0.09183096 0.00619337 234.29998010 0.09114914 0.00614696 236.18493570 0.09042972 0.00609800 237.94422758 0.08976838 0.00605300 239.82918318 0.08907041 0.00600552 241.71413877 0.08838317 0.00595878 243.47343065 0.08775120 0.00591581 245.35838625 0.08708400 0.00587045 247.24334184 0.08642683 0.00582578 249.25396114 0.08573665 0.00577887 251.13891673 0.08509950 0.00573558