# omega total a= 1 L= 2 0.06283185 0.13779896 0.00749858 0.18849556 0.31286554 0.01929259 0.31415927 0.47688575 0.02969782 0.43982297 0.63035415 0.03857039 0.56548668 0.77376974 0.04631323 0.69115038 0.90773268 0.05352266 0.81681409 1.03252154 0.06058804 0.94247780 1.14792451 0.06751955 1.06814150 1.25346568 0.07406253 1.19380521 1.34878153 0.07993020 1.31946891 1.43389701 0.08498390 1.44513262 1.50926013 0.08926931 1.57079633 1.57558271 0.09293944 1.69646003 1.63364664 0.09615819 1.82212374 1.68419371 0.09904967 1.94778745 1.72790151 0.10169334 2.07345115 1.76538938 0.10413357 2.19911486 1.79721549 0.10638337 2.32477856 1.82387005 0.10842626 2.45044227 1.84578516 0.11022790 2.57610598 1.86336599 0.11175869 2.70176968 1.87702385 0.11301468 2.82743339 1.88718768 0.11402395 2.95309709 1.89428848 0.11483719 3.07876080 1.89872980 0.11551001 3.20442451 1.90086261 0.11608661 3.33008821 1.90097558 0.11659099 3.45575192 1.89930130 0.11702724 3.58141563 1.89603144 0.11738613 3.70707933 1.89133440 0.11765508 3.83274304 1.88537024 0.11782800 3.95840674 1.87829798 0.11791063 4.08407045 1.87027322 0.11791884 4.20973416 1.86143999 0.11787199 4.33539786 1.85192230 0.11778524 4.46106157 1.84182117 0.11766582 4.58672527 1.83121761 0.11751375 4.71238898 1.82017924 0.11732572 4.83805269 1.80876676 0.11709903 4.96371639 1.79703792 0.11683408 5.08938010 1.78504843 0.11653445 5.21504380 1.77285039 0.11620541 5.34070751 1.76049071 0.11585225 5.46637122 1.74800989 0.11547897 5.59203492 1.73544200 0.11508787 5.71769863 1.72281570 0.11467999 5.84336234 1.71015517 0.11425549 5.96902604 1.69748170 0.11381460 6.09468975 1.68481407 0.11335765 6.22035345 1.67216947 0.11288554 6.34601716 1.65956355 0.11239956 6.47168087 1.64701019 0.11190107 6.59734457 1.63452191 0.11139161 6.72300828 1.62210947 0.11087245 6.84867198 1.60978190 0.11034453 6.97433569 1.59754709 0.10980876 7.09999940 1.58541141 0.10926567 7.22566310 1.57338021 0.10871570 7.35132681 1.56145786 0.10815917 7.47699052 1.54964800 0.10759635 7.60265422 1.53795352 0.10702748 7.72831793 1.52637690 0.10645289 7.85398163 1.51492026 0.10587305 7.97964534 1.50358533 0.10528845 8.10530905 1.49237379 0.10469990 8.23097275 1.48128694 0.10410812 8.35663646 1.47032612 0.10351416 8.48230016 1.45949229 0.10291893 8.60796387 1.44878626 0.10232345 8.73362758 1.43820860 0.10172866 8.85929128 1.42775964 0.10113546 8.98495499 1.41743928 0.10054453 9.11061870 1.40724723 0.09995651 9.23628240 1.39718289 0.09937186 9.36194611 1.38724540 0.09879092 9.48760981 1.37743356 0.09821385 9.61327352 1.36774604 0.09764074 9.73893723 1.35818122 0.09707151 9.86460093 1.34873750 0.09650615 9.99026464 1.33941294 0.09594439 10.11592834 1.33020580 0.09538616 10.24159205 1.32111393 0.09483108 10.36725576 1.31213554 0.09427908 10.49291946 1.30326860 0.09372988 10.61858317 1.29451127 0.09318339 10.74424688 1.28586162 0.09263942 10.86991058 1.27731789 0.09209792 10.99557429 1.26887829 0.09155881 11.12123799 1.26054115 0.09102210 11.24690170 1.25230476 0.09048776 11.37256541 1.24416751 0.08995584 11.49822911 1.23612791 0.08942644 11.62389282 1.22818441 0.08889964 11.74955652 1.22033547 0.08837548 11.87522023 1.21257980 0.08785421 12.00088394 1.20491578 0.08733579 12.12654764 1.19734215 0.08682045 12.25221135 1.18985753 0.08630830 12.37787506 1.18246051 0.08579941 12.50353876 1.17514980 0.08529393 12.62920247 1.16792416 0.08479204 12.75486617 1.16078222 0.08429376 12.88052988 1.15372272 0.08379920 13.00619359 1.14674445 0.08330848 13.13185729 1.13984605 0.08282159 13.25752100 1.13302629 0.08233859 13.38318470 1.12628407 0.08185963 13.50884841 1.11961801 0.08138460 13.63451212 1.11302704 0.08091362 13.76017582 1.10650997 0.08044671 13.88583953 1.10006553 0.07998377 14.01150324 1.09369261 0.07952486 14.13716694 1.08739011 0.07906998 14.26283065 1.08115678 0.07861902 14.38849435 1.07499158 0.07817200 14.51415806 1.06889348 0.07772895 14.63982177 1.06286133 0.07728975 14.76548547 1.05689410 0.07685442 14.89114918 1.05099077 0.07642291 15.01681288 1.04515029 0.07599516 15.14247659 1.03937172 0.07557117 15.26814030 1.03365408 0.07515092 15.39380400 1.02799637 0.07473432 15.51946771 1.02239771 0.07432139 15.64513141 1.01685719 0.07391208 15.77079512 1.01137385 0.07350634 15.89645883 1.00594687 0.07310416 16.02212253 1.00057540 0.07270551 16.14778624 0.99525853 0.07231032 16.27344995 0.98999552 0.07191864 16.39911365 0.98478551 0.07153036 16.52477736 0.97962768 0.07114546 16.65044106 0.97452134 0.07076397 16.77610477 0.96946560 0.07038576 16.90176848 0.96445981 0.07001087 17.02743218 0.95950319 0.06963924 17.15309589 0.95459503 0.06927085 17.27875959 0.94973460 0.06890563 17.40442330 0.94492122 0.06854358 17.53008701 0.94015421 0.06818466 17.65575071 0.93543286 0.06782879 17.78141442 0.93075656 0.06747599 17.90707813 0.92612466 0.06712621 18.03274183 0.92153650 0.06677941 18.15840554 0.91699149 0.06643556 18.28406924 0.91248899 0.06609462 18.40973295 0.90802844 0.06575656 18.53539666 0.90360924 0.06542135 18.66106036 0.89923081 0.06508895 18.78672407 0.89489261 0.06475935 18.91238777 0.89059407 0.06443250 19.03805148 0.88633465 0.06410837 19.16371519 0.88211386 0.06378697 19.28937889 0.87793113 0.06346821 19.41504260 0.87378603 0.06315213 19.54070631 0.86967797 0.06283865 19.66637001 0.86560652 0.06252777 19.79203372 0.86157121 0.06221948 19.91769742 0.85757152 0.06191372 20.04336113 0.85360703 0.06161048 20.16902484 0.84967728 0.06130975 20.29468854 0.84578183 0.06101150 20.42035225 0.84192021 0.06071568 20.54601595 0.83809202 0.06042230 20.67167966 0.83429683 0.06013133 20.79734337 0.83053423 0.05984274 20.92300707 0.82680379 0.05955649 21.04867078 0.82310512 0.05927258 21.17433449 0.81943783 0.05899098 21.29999819 0.81580153 0.05871166 21.42566190 0.81219581 0.05843459 21.55132560 0.80862032 0.05815977 21.67698931 0.80507469 0.05788716 21.80265302 0.80155854 0.05761673 21.92831672 0.79807151 0.05734846 22.05398043 0.79461325 0.05708234 22.17964413 0.79118343 0.05681834 22.30530784 0.78778169 0.05655644 22.43097155 0.78440770 0.05629662 22.55663525 0.78106113 0.05603886 22.68229896 0.77774168 0.05578315 22.80796267 0.77444899 0.05552944 22.93362637 0.77118277 0.05527775 23.05929008 0.76794273 0.05502804 23.18495378 0.76472853 0.05478029 23.31061749 0.76153992 0.05453452 23.43628120 0.75837656 0.05429066 23.56194490 0.75523821 0.05404874 23.68760861 0.75212455 0.05380872 23.81327231 0.74903533 0.05357060 23.93893602 0.74597027 0.05333436 24.06459973 0.74292910 0.05309999 24.19026343 0.73991156 0.05286748 24.31592714 0.73691738 0.05263679 24.44159084 0.73394631 0.05240794 24.56725455 0.73099811 0.05218091 24.69291826 0.72807250 0.05195567 24.81858196 0.72516928 0.05173224 24.94424567 0.72228817 0.05151057 25.06990938 0.71942895 0.05129066 25.19557308 0.71659137 0.05107251 25.44690049 0.71098024 0.05064139 25.57256420 0.70820624 0.05042840 25.82389161 0.70272021 0.05000748 25.94955532 0.70000775 0.04979953 26.20088273 0.69464287 0.04938855 26.32654644 0.69199002 0.04918549 26.57787385 0.68674247 0.04878417 26.82920126 0.68157109 0.04838913 26.95486497 0.67901347 0.04819392 27.20619238 0.67395337 0.04780806 27.45751979 0.66896553 0.04742814 27.58318350 0.66649823 0.04724037 27.83451091 0.66161599 0.04686915 28.08583832 0.65680233 0.04650354 28.21150203 0.65442078 0.04632282 28.46282944 0.64970737 0.04596541 28.71415685 0.64505911 0.04561332 28.96548427 0.64047467 0.04526641 29.09114797 0.63820598 0.04509486 29.34247538 0.63371489 0.04475551 29.59380280 0.62928449 0.04442106 29.84513021 0.62491357 0.04409139 30.09645762 0.62060097 0.04376639 30.34778503 0.61634555 0.04344596 30.47344874 0.61423894 0.04328744 30.72477615 0.61006722 0.04297369 30.97610356 0.60594998 0.04266427 31.22743098 0.60188617 0.04235908 31.47875839 0.59787477 0.04205804 31.73008580 0.59391482 0.04176107 31.98141321 0.59000534 0.04146807 32.23274063 0.58614540 0.04117898 32.48406804 0.58233409 0.04089370 32.73539545 0.57857051 0.04061217 32.98672286 0.57485381 0.04033432 33.23805027 0.57118313 0.04006007 33.48937769 0.56755763 0.03978935 33.74070510 0.56397653 0.03952210 33.99203251 0.56043903 0.03925825 34.24335992 0.55694435 0.03899775 34.49468734 0.55349175 0.03874052 34.74601475 0.55008049 0.03848651 34.99734216 0.54670985 0.03823566 35.37433328 0.54172853 0.03786519 35.62566069 0.53845641 0.03762200 35.87698810 0.53522253 0.03738178 36.12831552 0.53202624 0.03714447 36.37964293 0.52886690 0.03691003 36.75663405 0.52419582 0.03656364 37.00796146 0.52112618 0.03633615 37.25928887 0.51809138 0.03611135 37.51061628 0.51509085 0.03588921 37.88760740 0.51065308 0.03556087 38.13893481 0.50773578 0.03534517 38.39026223 0.50485084 0.03513196 38.76725335 0.50058295 0.03481674 39.01858076 0.49777663 0.03460960 39.39557188 0.49362433 0.03430329 39.64689929 0.49089354 0.03410197 39.89822670 0.48819214 0.03390292 40.27521782 0.48419412 0.03360850 40.52654523 0.48156417 0.03341494 40.90353635 0.47767127 0.03312860 41.15486376 0.47511005 0.03294032 41.53185488 0.47131827 0.03266175 41.78318229 0.46882318 0.03247855 42.16017341 0.46512872 0.03220745 42.53716453 0.46149090 0.03194068 42.78849194 0.45909652 0.03176520 43.16548306 0.45555031 0.03150545 43.41681047 0.45321589 0.03133456 43.79380159 0.44975795 0.03108156 44.17079271 0.44635143 0.03083249 44.54778383 0.44299521 0.03058726 44.79911124 0.44078514 0.03042587 45.17610236 0.43751038 0.03018685 45.55309348 0.43428309 0.02995145 45.93008460 0.43110228 0.02971959 46.18141201 0.42900708 0.02956695 46.55840313 0.42590156 0.02934082 46.93539424 0.42283998 0.02911803 47.31238536 0.41982141 0.02889850 47.68937648 0.41684498 0.02868218 48.06636760 0.41390981 0.02846898 48.44335872 0.41101508 0.02825885 48.82034984 0.40815997 0.02805173 49.19734096 0.40534369 0.02784754 49.57433207 0.40256545 0.02764622 49.95132319 0.39982451 0.02744773 50.32831431 0.39712013 0.02725200 50.70530543 0.39445159 0.02705898 51.08229655 0.39181820 0.02686861 51.45928767 0.38921928 0.02668084 51.83627878 0.38665417 0.02649561 52.33893361 0.38328549 0.02625252 52.71592473 0.38079677 0.02607304 53.09291585 0.37833976 0.02589595 53.46990696 0.37591387 0.02572120 53.97256179 0.37272675 0.02549176 54.34955291 0.37037124 0.02532229 54.72654403 0.36804497 0.02515501 55.22919885 0.36498783 0.02493532 55.60618997 0.36272772 0.02477300 55.98318109 0.36049512 0.02461274 56.48583591 0.35756026 0.02440220 56.86282703 0.35538994 0.02424659 57.36548185 0.35253640 0.02404212 57.74247297 0.35042581 0.02389098 58.24512780 0.34765029 0.02369233 58.62211892 0.34559703 0.02354547 59.12477374 0.34289641 0.02335240 59.62742857 0.34023724 0.02316242 60.00441968 0.33826950 0.02302192 60.50707451 0.33568064 0.02283717 61.00972933 0.33313071 0.02265531 61.38672045 0.33124330 0.02252077 61.88937528 0.32875946 0.02234382 62.39203010 0.32631224 0.02216958 62.89468492 0.32390084 0.02199799 63.39733975 0.32152449 0.02182900 63.89999457 0.31918244 0.02166255 64.40264940 0.31687395 0.02149858 64.77964052 0.31516418 0.02137720 65.28229534 0.31291273 0.02121744 65.78495017 0.31069292 0.02106002 66.41326870 0.30796169 0.02086645 66.91592352 0.30581073 0.02071411 67.41857835 0.30368934 0.02056394 67.92123317 0.30159693 0.02041590 68.42388800 0.29953291 0.02026996 68.92654282 0.29749671 0.02012605 69.42919764 0.29548777 0.01998415 70.05751618 0.29301411 0.01980953 70.56017100 0.29106455 0.01967199 71.06282582 0.28914055 0.01953632 71.69114435 0.28677072 0.01936931 72.19379918 0.28490242 0.01923772 72.82211771 0.28260071 0.01907570 73.32477253 0.28078573 0.01894801 73.95309107 0.27854926 0.01879076 74.45574589 0.27678537 0.01866680 75.08406442 0.27461141 0.01851411 75.58671925 0.27289647 0.01839372 76.21503778 0.27078245 0.01824540 76.84335631 0.26870066 0.01809942 77.34601113 0.26705795 0.01798430 77.97432966 0.26503237 0.01784241 78.60264819 0.26303703 0.01770272 79.23096672 0.26107128 0.01756519 79.85928525 0.25913445 0.01742975 80.36194008 0.25760539 0.01732288 80.99025861 0.25571904 0.01719110 81.61857714 0.25385991 0.01706129 82.24689567 0.25202739 0.01693342 82.87521420 0.25022092 0.01680742 83.62919644 0.24808679 0.01665866 84.25751497 0.24633573 0.01653667 84.88583350 0.24460902 0.01641644 85.51415203 0.24290615 0.01629794 86.14247056 0.24122664 0.01618111 86.89645280 0.23924138 0.01604309 87.52477133 0.23761159 0.01592985 88.15308986 0.23600368 0.01581818 88.90707210 0.23410244 0.01568622 89.53539063 0.23254114 0.01557790 90.28937286 0.23069462 0.01544986 90.91769139 0.22917793 0.01534475 91.67167363 0.22738381 0.01522047 92.42565587 0.22561733 0.01509818 93.05397440 0.22416593 0.01499775 93.80795664 0.22244850 0.01487897 94.56193887 0.22075698 0.01476204 95.19025740 0.21936675 0.01466599 95.94423964 0.21772123 0.01455235 96.69822188 0.21610000 0.01444044 97.45220411 0.21450255 0.01433024 98.20618635 0.21292835 0.01422169 98.96016859 0.21137689 0.01411476 99.71415082 0.20984770 0.01400942 100.46813306 0.20834030 0.01390563 101.34777900 0.20660858 0.01378646 102.10176124 0.20514682 0.01368591 102.85574348 0.20370542 0.01358682 103.60972572 0.20228397 0.01348913 104.48937166 0.20065029 0.01337692 105.24335390 0.19927067 0.01328221 106.12299984 0.19768471 0.01317338 106.87698208 0.19634510 0.01308150 107.75662802 0.19480481 0.01297591 108.51061025 0.19350351 0.01288674 109.39025620 0.19200695 0.01278424 110.26990214 0.19053317 0.01268334 111.14954808 0.18908167 0.01258402 111.90353032 0.18785486 0.01250011 112.78317626 0.18644339 0.01240362 113.66282221 0.18505281 0.01230859 114.54246815 0.18368264 0.01221500 115.42211409 0.18233245 0.01212282 116.30176004 0.18100180 0.01203201 117.18140598 0.17969028 0.01194255 118.18671563 0.17821430 0.01184191 119.06636157 0.17694239 0.01175523 119.94600751 0.17568837 0.01166980 120.95131716 0.17427662 0.01157367 121.83096311 0.17305967 0.01149084 122.83627276 0.17168935 0.01139761 123.71591870 0.17050786 0.01131726 124.72122835 0.16917718 0.01122681 125.60087429 0.16802962 0.01114883 126.60618394 0.16673689 0.01106103 127.61149359 0.16546375 0.01097459 128.61680324 0.16420974 0.01088949 129.62211289 0.16297445 0.01080569 130.62742254 0.16175746 0.01072317 131.63273219 0.16055837 0.01064189 132.63804183 0.15937679 0.01056183 133.64335148 0.15821233 0.01048297 134.64866113 0.15706464 0.01040527 135.65397078 0.15593335 0.01032870 136.78494414 0.15467982 0.01024390 137.79025379 0.15358225 0.01016968 138.92122714 0.15236580 0.01008745 139.92653679 0.15130046 0.01001546 141.05751015 0.15011948 0.00993569 142.06281980 0.14908498 0.00986584 143.19379315 0.14793795 0.00978842 144.32476651 0.14680830 0.00971220 145.45573986 0.14569565 0.00963715 146.58671322 0.14459961 0.00956325 147.71768657 0.14351982 0.00949048 148.84865993 0.14245591 0.00941879 149.97963328 0.14140755 0.00934819 151.11060664 0.14037440 0.00927862 152.24157999 0.13935612 0.00921009 153.49821705 0.13824177 0.00913511 154.62919041 0.13725387 0.00906866 155.88582747 0.13617252 0.00899596 157.01680083 0.13521367 0.00893151 158.27343789 0.13416388 0.00886097 159.53007495 0.13313015 0.00879153 160.66104830 0.13221323 0.00872996 161.91768537 0.13120903 0.00866255 163.17432243 0.13021986 0.00859617 164.43095949 0.12924540 0.00853079 165.68759655 0.12828531 0.00846641 167.06989732 0.12724545 0.00839669 168.32653438 0.12631454 0.00833430 169.58317144 0.12539707 0.00827282 170.96547221 0.12440302 0.00820624 172.22210927 0.12351283 0.00814663 173.60441004 0.12254812 0.00808205 174.86104710 0.12168402 0.00802422 176.24334787 0.12074738 0.00796155 177.62564863 0.11982497 0.00789985 179.00794940 0.11891645 0.00783910 180.39025017 0.11802151 0.00777928 181.77255094 0.11713987 0.00772036 183.15485170 0.11627122 0.00766232 184.66281618 0.11533808 0.00759999 186.04511695 0.11449570 0.00754374 187.42741771 0.11366545 0.00748832 188.93538219 0.11277327 0.00742877 190.31768295 0.11196758 0.00737501 191.82564743 0.11110160 0.00731725 193.33361190 0.11024884 0.00726038 194.84157638 0.10940899 0.00720438 196.34954085 0.10858177 0.00714924 197.85750532 0.10776689 0.00709494 199.36546980 0.10696409 0.00704146 200.87343427 0.10617309 0.00698877 202.50706245 0.10532921 0.00693257 204.01502692 0.10456199 0.00688150 205.64865510 0.10374328 0.00682700 207.15661958 0.10299879 0.00677746 208.79024776 0.10220416 0.00672460 210.42387594 0.10142164 0.00667255 212.05750412 0.10065094 0.00662130 213.69113230 0.09989181 0.00657083 215.32476048 0.09914399 0.00652112 216.95838866 0.09840723 0.00647216 218.59201684 0.09768128 0.00642392 220.35130872 0.09691131 0.00637278 221.98493690 0.09620708 0.00632601 223.74422879 0.09545999 0.00627640 225.50352067 0.09472435 0.00622756 227.26281256 0.09399990 0.00617948 229.02210445 0.09328641 0.00613213 230.78139633 0.09258361 0.00608551 232.54068822 0.09189128 0.00603958 234.29998010 0.09120918 0.00599434 236.18493570 0.09048945 0.00594662 237.94422758 0.08982784 0.00590276 239.82918318 0.08912957 0.00585648 241.71413877 0.08844203 0.00581091 243.47343065 0.08780979 0.00576902 245.35838625 0.08714229 0.00572480 247.24334184 0.08648483 0.00568126 249.25396114 0.08579434 0.00563553 251.13891673 0.08515691 0.00559333