# omega total a= 1 L= 2 0.06283185 0.32640176 0.10896905 0.18849556 0.51909833 0.13363743 0.31415927 0.75078615 0.17481806 0.43982297 0.80928582 0.11549934 0.56548668 0.95635698 0.14042164 0.69115038 0.92137001 0.04648318 0.81681409 1.02948028 0.04071832 0.94247780 1.16868576 0.06327922 1.06814150 1.27386952 0.06879342 1.19380521 1.35376315 0.06451768 1.31946891 1.46083819 0.08429554 1.44513262 1.54328854 0.09158638 1.57079633 1.60144809 0.08975361 1.69646003 1.65767305 0.09226274 1.82212374 1.70966637 0.09668138 1.94778745 1.75470317 0.10080561 2.07345115 1.79188537 0.10372396 2.19911486 1.82184952 0.10545662 2.32477856 1.84630690 0.10678763 2.45044227 1.86657193 0.10828983 2.57610598 1.88306364 0.10992260 2.70176968 1.89591964 0.11146212 2.82743339 1.90531225 0.11274435 2.95309709 1.91142970 0.11364867 3.07876080 1.91447118 0.11408950 3.20442451 1.91464983 0.11401794 3.33008821 1.91224153 0.11344315 3.45575192 1.90767196 0.11248437 3.58141563 1.90145695 0.11134225 3.70707933 1.89407878 0.11022524 3.83274304 1.88590895 0.10929208 3.95840674 1.87720520 0.10863800 4.08407045 1.86814846 0.10831277 4.20973416 1.85885877 0.10832858 4.33539786 1.84940816 0.10866940 4.46106157 1.83982775 0.10929633 4.58672527 1.83011278 0.11015098 4.71238898 1.82021548 0.11114910 4.83805269 1.81005738 0.11218737 4.96371639 1.79954302 0.11315128 5.08938010 1.78859323 0.11393892 5.21504380 1.77718616 0.11449267 5.34070751 1.76535383 0.11479967 5.46637122 1.75317583 0.11488949 5.59203492 1.74075303 0.11481485 5.71769863 1.72817133 0.11462284 5.84336234 1.71549428 0.11434772 5.96902604 1.70276728 0.11401235 6.09468975 1.69002788 0.11363519 6.22035345 1.67729973 0.11322513 6.34601716 1.66459981 0.11278639 6.47168087 1.65194038 0.11232069 6.59734457 1.63932327 0.11182270 6.72300828 1.62674079 0.11128025 6.84867198 1.61418822 0.11068464 6.97433569 1.60164325 0.11001518 7.09999940 1.58910675 0.10926863 7.22566310 1.57657509 0.10843895 7.35132681 1.56406706 0.10753716 7.47699052 1.55160082 0.10657386 7.60265422 1.53920796 0.10556997 7.72831793 1.52692726 0.10455226 7.85398163 1.51479561 0.10354662 7.97964534 1.50284751 0.10257809 8.10530905 1.49110964 0.10166638 8.23097275 1.47960042 0.10082538 8.35663646 1.46833058 0.10006382 8.48230016 1.45730337 0.09938470 8.60796387 1.44651114 0.09878330 8.73362758 1.43595043 0.09825790 8.85929128 1.42560400 0.09779667 8.98495499 1.41546340 0.09739431 9.11061870 1.40550935 0.09703742 9.23628240 1.39572950 0.09671788 9.36194611 1.38610981 0.09642609 9.48760981 1.37663328 0.09615036 9.61327352 1.36728722 0.09588201 9.73893723 1.35805879 0.09561238 9.86460093 1.34893392 0.09533166 9.99026464 1.33990403 0.09503441 10.11592834 1.33095652 0.09471201 10.24159205 1.32208549 0.09436104 10.36725576 1.31328600 0.09397893 10.49291946 1.30455075 0.09356142 10.61858317 1.29588120 0.09311094 10.74424688 1.28727729 0.09262895 10.86991058 1.27873933 0.09211724 10.99557429 1.27027132 0.09158037 11.12123799 1.26187657 0.09102243 11.24690170 1.25356378 0.09045157 11.37256541 1.24533228 0.08986878 11.49822911 1.23718988 0.08928152 11.62389282 1.22913840 0.08869255 11.74955652 1.22118320 0.08810726 11.87522023 1.21332367 0.08752655 12.00088394 1.20556206 0.08695336 12.12654764 1.19790170 0.08639124 12.25221135 1.19033653 0.08583705 12.37787506 1.18287261 0.08529624 12.50353876 1.17550185 0.08476400 12.62920247 1.16822871 0.08424460 12.75486617 1.16104622 0.08373392 12.88052988 1.15395530 0.08323368 13.00619359 1.14695365 0.08274310 13.13185729 1.14003643 0.08225957 13.25752100 1.13320562 0.08178549 13.38318470 1.12645558 0.08131756 13.50884841 1.11978531 0.08085597 13.63451212 1.11319338 0.08040058 13.76017582 1.10667690 0.07995009 13.88583953 1.10023538 0.07950496 14.01150324 1.09386611 0.07906412 14.13716694 1.08756762 0.07862723 14.26283065 1.08133979 0.07819498 14.38849435 1.07517869 0.07776536 14.51415806 1.06908605 0.07734032 14.63982177 1.06305776 0.07691768 14.76548547 1.05709462 0.07649866 14.89114918 1.05119516 0.07608308 15.01681288 1.04535772 0.07567024 15.14247659 1.03958146 0.07526036 15.26814030 1.03386538 0.07485334 15.39380400 1.02820902 0.07444950 15.51946771 1.02261101 0.07404854 15.64513141 1.01707007 0.07365011 15.77079512 1.01158663 0.07325518 15.89645883 1.00615845 0.07286276 16.02212253 1.00078468 0.07247272 16.14778624 0.99546679 0.07208690 16.27344995 0.99020016 0.07170229 16.39911365 0.98498757 0.07132167 16.52477736 0.97982580 0.07094313 16.65044106 0.97471570 0.07056788 16.77610477 0.96965529 0.07019499 16.90176848 0.96464517 0.06982545 17.02743218 0.95968316 0.06945811 17.15309589 0.95477003 0.06909412 17.27875959 0.94990390 0.06873252 17.40442330 0.94508471 0.06837378 17.53008701 0.94031199 0.06801804 17.65575071 0.93558453 0.06766485 17.78141442 0.93090212 0.06731453 17.90707813 0.92626415 0.06696707 18.03274183 0.92166976 0.06662226 18.15840554 0.91711859 0.06628028 18.28406924 0.91261002 0.06594110 18.40973295 0.90814350 0.06560471 18.53539666 0.90371833 0.06527099 18.66106036 0.89933413 0.06494008 18.78672407 0.89499030 0.06461192 18.91238777 0.89068636 0.06428652 19.03805148 0.88642169 0.06396382 19.16371519 0.88219583 0.06364382 19.28937889 0.87800830 0.06332654 19.41504260 0.87385859 0.06301195 19.54070631 0.86974622 0.06270005 19.66637001 0.86567066 0.06239078 19.79203372 0.86163145 0.06208413 19.91769742 0.85762815 0.06178011 20.04336113 0.85366029 0.06147868 20.16902484 0.84972740 0.06117983 20.29468854 0.84582904 0.06088352 20.42035225 0.84196476 0.06058972 20.54601595 0.83813411 0.06029841 20.67167966 0.83433667 0.06000957 20.79734337 0.83057201 0.05972316 20.92300707 0.82683971 0.05943915 21.04867078 0.82313936 0.05915752 21.17433449 0.81947054 0.05887824 21.29999819 0.81583285 0.05860126 21.42566190 0.81222591 0.05832657 21.55132560 0.80864931 0.05805413 21.67698931 0.80510267 0.05778391 21.80265302 0.80158562 0.05751588 21.92831672 0.79809778 0.05725001 22.05398043 0.79463879 0.05698628 22.17964413 0.79120831 0.05672465 22.30530784 0.78780596 0.05646510 22.43097155 0.78443141 0.05620760 22.55663525 0.78108432 0.05595213 22.68229896 0.77776436 0.05569867 22.80796267 0.77447120 0.05544718 22.93362637 0.77120453 0.05519766 23.05929008 0.76796404 0.05495008 23.18495378 0.76474940 0.05470442 23.31061749 0.76156034 0.05446066 23.43628120 0.75839654 0.05421879 23.56194490 0.75525773 0.05397879 23.68760861 0.75214361 0.05374064 23.81327231 0.74905391 0.05350434 23.93893602 0.74598835 0.05326985 24.06459973 0.74294667 0.05303719 24.19026343 0.73992860 0.05280632 24.31592714 0.73693387 0.05257723 24.44159084 0.73396224 0.05234993 24.56725455 0.73101346 0.05212438 24.69291826 0.72808726 0.05190059 24.81858196 0.72518341 0.05167853 24.94424567 0.72230168 0.05145821 25.06990938 0.71944181 0.05123959 25.19557308 0.71660358 0.05102268 25.44690049 0.71099110 0.05059393 25.57256420 0.70821640 0.05038206 25.82389161 0.70272896 0.04996326 25.94955532 0.70001579 0.04975631 26.20088273 0.69464948 0.04934723 26.32654644 0.69199591 0.04914509 26.57787385 0.68674693 0.04874549 26.82920126 0.68157413 0.04835206 26.95486497 0.67901580 0.04815762 27.20619238 0.67395432 0.04777323 27.45751979 0.66896512 0.04739471 27.58318350 0.66649717 0.04720761 27.83451091 0.66161362 0.04683766 28.08583832 0.65679871 0.04647327 28.21150203 0.65441655 0.04629312 28.46282944 0.64970195 0.04593685 28.71415685 0.64505256 0.04558583 28.96548427 0.64046703 0.04523996 29.09114797 0.63819782 0.04506891 29.34247538 0.63370572 0.04473053 29.59380280 0.62927435 0.04439700 29.84513021 0.62490252 0.04406823 30.09645762 0.62058905 0.04374409 30.34778503 0.61633281 0.04342450 30.47344874 0.61422581 0.04326638 30.72477615 0.61005334 0.04295341 30.97610356 0.60593538 0.04264475 31.22743098 0.60187090 0.04234031 31.47875839 0.59785888 0.04203998 31.73008580 0.59389833 0.04174370 31.98141321 0.58998828 0.04145137 32.23274063 0.58612782 0.04116292 32.48406804 0.58231601 0.04087827 32.73539545 0.57855197 0.04059734 32.98672286 0.57483483 0.04032008 33.23805027 0.57116374 0.04004639 33.48937769 0.56753787 0.03977622 33.74070510 0.56395641 0.03950951 33.99203251 0.56041856 0.03924618 34.24335992 0.55692357 0.03898617 34.49468734 0.55347068 0.03872943 34.74601475 0.55005915 0.03847589 34.99734216 0.54668826 0.03822549 35.37433328 0.54170659 0.03785568 35.62566069 0.53843426 0.03761291 35.87698810 0.53520019 0.03737310 36.12831552 0.53200372 0.03713619 36.37964293 0.52884421 0.03690213 36.75663405 0.52417292 0.03655629 37.00796146 0.52110315 0.03632916 37.25928887 0.51806823 0.03610471 37.51061628 0.51506759 0.03588291 37.88760740 0.51062968 0.03555505 38.13893481 0.50771231 0.03533965 38.39026223 0.50482730 0.03512675 38.76725335 0.50055932 0.03481197 39.01858076 0.49775295 0.03460510 39.39557188 0.49360059 0.03429921 39.64689929 0.49086978 0.03409815 39.89822670 0.48816835 0.03389934 40.27521782 0.48417031 0.03360529 40.52654523 0.48154037 0.03341196 40.90353635 0.47764747 0.03312596 41.15486376 0.47508626 0.03293791 41.53185488 0.47129451 0.03265965 41.78318229 0.46879945 0.03247666 42.16017341 0.46510503 0.03220585 42.53716453 0.46146726 0.03193936 42.78849194 0.45907293 0.03176406 43.16548306 0.45552679 0.03150458 43.41681047 0.45319242 0.03133385 43.79380159 0.44973456 0.03108110 44.17079271 0.44632814 0.03083226 44.54778383 0.44297202 0.03058726 44.79911124 0.44076202 0.03042601 45.17610236 0.43748736 0.03018720 45.55309348 0.43426019 0.02995201 45.93008460 0.43107950 0.02972034 46.18141201 0.42898437 0.02956782 46.55840313 0.42587899 0.02934187 46.93539424 0.42281753 0.02911925 47.31238536 0.41979910 0.02889990 47.68937648 0.41682280 0.02868373 48.06636760 0.41388778 0.02847069 48.44335872 0.41099319 0.02826071 48.82034984 0.40813822 0.02805372 49.19734096 0.40532208 0.02784966 49.57433207 0.40254399 0.02764848 49.95132319 0.39980320 0.02745012 50.32831431 0.39709897 0.02725451 50.70530543 0.39443059 0.02706160 51.08229655 0.39179736 0.02687134 51.45928767 0.38919859 0.02668367 51.83627878 0.38663363 0.02649855 52.33893361 0.38326516 0.02625559 52.71592473 0.38077659 0.02607620 53.09291585 0.37831974 0.02589920 53.46990696 0.37589401 0.02572454 53.97256179 0.37270710 0.02549520 54.34955291 0.37035175 0.02532581 54.72654403 0.36802563 0.02515861 55.22919885 0.36496870 0.02493901 55.60618997 0.36270876 0.02477676 55.98318109 0.36047631 0.02461656 56.48583591 0.35754165 0.02440610 56.86282703 0.35537149 0.02425055 57.36548185 0.35251815 0.02404616 57.74247297 0.35040772 0.02389507 58.24512780 0.34763240 0.02369649 58.62211892 0.34557930 0.02354967 59.12477374 0.34287887 0.02335667 59.62742857 0.34021990 0.02316675 60.00441968 0.33825231 0.02302628 60.50707451 0.33566365 0.02284158 61.00972933 0.33311392 0.02265977 61.38672045 0.33122665 0.02252527 61.88937528 0.32874300 0.02234836 62.39203010 0.32629597 0.02217417 62.89468492 0.32388476 0.02200262 63.39733975 0.32150860 0.02183367 63.89999457 0.31916673 0.02166725 64.40264940 0.31685843 0.02150331 64.77964052 0.31514879 0.02138195 65.28229534 0.31289752 0.02122222 65.78495017 0.31067789 0.02106483 66.41326870 0.30794687 0.02087129 66.91592352 0.30579608 0.02071897 67.41857835 0.30367487 0.02056882 67.92123317 0.30158263 0.02042081 68.42388800 0.29951878 0.02027488 68.92654282 0.29748274 0.02013099 69.42919764 0.29547397 0.01998911 70.05751618 0.29300051 0.01981450 70.56017100 0.29105111 0.01967697 71.06282582 0.28912726 0.01954132 71.69114435 0.28675763 0.01937432 72.19379918 0.28488947 0.01924274 72.82211771 0.28258796 0.01908073 73.32477253 0.28077312 0.01895304 73.95309107 0.27853684 0.01879580 74.45574589 0.27677308 0.01867184 75.08406442 0.27459930 0.01851915 75.58671925 0.27288451 0.01839877 76.21503778 0.27077066 0.01825045 76.84335631 0.26868904 0.01810448 77.34601113 0.26704646 0.01798935 77.97432966 0.26502104 0.01784747 78.60264819 0.26302587 0.01770778 79.23096672 0.26106027 0.01757024 79.85928525 0.25912360 0.01743480 80.36194008 0.25759466 0.01732792 80.99025861 0.25570847 0.01719614 81.61857714 0.25384948 0.01706633 82.24689567 0.25201711 0.01693845 82.87521420 0.25021079 0.01681245 83.62919644 0.24807682 0.01666368 84.25751497 0.24632590 0.01654168 84.88583350 0.24459933 0.01642144 85.51415203 0.24289659 0.01630292 86.14247056 0.24121721 0.01618609 86.89645280 0.23923211 0.01604806 87.52477133 0.23760245 0.01593481 88.15308986 0.23599467 0.01582313 88.90707210 0.23409358 0.01569115 89.53539063 0.23253240 0.01558282 90.28937286 0.23068602 0.01545477 90.91769139 0.22916945 0.01534965 91.67167363 0.22737546 0.01522535 92.42565587 0.22560912 0.01510304 93.05397440 0.22415783 0.01500260 93.80795664 0.22244053 0.01488380 94.56193887 0.22074914 0.01476686 95.19025740 0.21935901 0.01467079 95.94423964 0.21771361 0.01455714 96.69822188 0.21609251 0.01444522 97.45220411 0.21449517 0.01433499 98.20618635 0.21292109 0.01422643 98.96016859 0.21136975 0.01411948 99.71415082 0.20984067 0.01401412 100.46813306 0.20833338 0.01391032 101.34777900 0.20660179 0.01379112 102.10176124 0.20514013 0.01369056 102.85574348 0.20369883 0.01359144 103.60972572 0.20227749 0.01349374 104.48937166 0.20064392 0.01338151 105.24335390 0.19926440 0.01328678 106.12299984 0.19767854 0.01317793 106.87698208 0.19633903 0.01308603 107.75662802 0.19479885 0.01298042 108.51061025 0.19349764 0.01289123 109.39025620 0.19200118 0.01278870 110.26990214 0.19052751 0.01268779 111.14954808 0.18907610 0.01258845 111.90353032 0.18784937 0.01250452 112.78317626 0.18643800 0.01240800 113.66282221 0.18504751 0.01231295 114.54246815 0.18367743 0.01221934 115.42211409 0.18232733 0.01212714 116.30176004 0.18099677 0.01203631 117.18140598 0.17968533 0.01194683 118.18671563 0.17820944 0.01184617 119.06636157 0.17693762 0.01175946 119.94600751 0.17568368 0.01167401 120.95131716 0.17427202 0.01157786 121.83096311 0.17305514 0.01149501 122.83627276 0.17168491 0.01140176 123.71591870 0.17050349 0.01132139 124.72122835 0.16917289 0.01123091 125.60087429 0.16802540 0.01115291 126.60618394 0.16673275 0.01106508 127.61149359 0.16545968 0.01097862 128.61680324 0.16420575 0.01089350 129.62211289 0.16297053 0.01080968 130.62742254 0.16175361 0.01072713 131.63273219 0.16055459 0.01064584 132.63804183 0.15937307 0.01056576 133.64335148 0.15820869 0.01048687 134.64866113 0.15706106 0.01040914 135.65397078 0.15592983 0.01033256 136.78494414 0.15467637 0.01024773 137.79025379 0.15357886 0.01017349 138.92122714 0.15236248 0.01009124 139.92653679 0.15129720 0.01001923 141.05751015 0.15011628 0.00993943 142.06281980 0.14908184 0.00986956 143.19379315 0.14793486 0.00979212 144.32476651 0.14680528 0.00971587 145.45573986 0.14569268 0.00964080 146.58671322 0.14459670 0.00956688 147.71768657 0.14351696 0.00949408 148.84865993 0.14245311 0.00942238 149.97963328 0.14140480 0.00935175 151.11060664 0.14037170 0.00928217 152.24157999 0.13935347 0.00921361 153.49821705 0.13823917 0.00913861 154.62919041 0.13725132 0.00907214 155.88582747 0.13617002 0.00899941 157.01680083 0.13521121 0.00893494 158.27343789 0.13416147 0.00886438 159.53007495 0.13312779 0.00879492 160.66104830 0.13221091 0.00873333 161.91768537 0.13120676 0.00866590 163.17432243 0.13021764 0.00859949 164.43095949 0.12924321 0.00853410 165.68759655 0.12828317 0.00846969 167.06989732 0.12724335 0.00839995 168.32653438 0.12631249 0.00833754 169.58317144 0.12539505 0.00827604 170.96547221 0.12440105 0.00820944 172.22210927 0.12351089 0.00814980 173.60441004 0.12254623 0.00808520 174.86104710 0.12168216 0.00802735 176.24334787 0.12074556 0.00796467 177.62564863 0.11982318 0.00790295 179.00794940 0.11891469 0.00784218 180.39025017 0.11801980 0.00778233 181.77255094 0.11713818 0.00772339 183.15485170 0.11626957 0.00766533 184.66281618 0.11533647 0.00760298 186.04511695 0.11449411 0.00754671 187.42741771 0.11366389 0.00749127 188.93538219 0.11277175 0.00743170 190.31768295 0.11196609 0.00737793 191.82564743 0.11110014 0.00732014 193.33361190 0.11024741 0.00726325 194.84157638 0.10940759 0.00720724 196.34954085 0.10858040 0.00715208 197.85750532 0.10776555 0.00709776 199.36546980 0.10696277 0.00704425 200.87343427 0.10617180 0.00699155 202.50706245 0.10532794 0.00693533 204.01502692 0.10456075 0.00688423 205.64865510 0.10374207 0.00682972 207.15661958 0.10299760 0.00678016 208.79024776 0.10220300 0.00672728 210.42387594 0.10142050 0.00667521 212.05750412 0.10064983 0.00662394 213.69113230 0.09989072 0.00657345 215.32476048 0.09914292 0.00652373 216.95838866 0.09840618 0.00647475 218.59201684 0.09768025 0.00642650 220.35130872 0.09691031 0.00637533 221.98493690 0.09620610 0.00632854 223.74422879 0.09545902 0.00627892 225.50352067 0.09472340 0.00623006 227.26281256 0.09399898 0.00618196 229.02210445 0.09328550 0.00613460 230.78139633 0.09258273 0.00608795 232.54068822 0.09189041 0.00604201 234.29998010 0.09120833 0.00599676 236.18493570 0.09048862 0.00594902 237.94422758 0.08982702 0.00590514 239.82918318 0.08912877 0.00585884 241.71413877 0.08844125 0.00581326 243.47343065 0.08780902 0.00577135 245.35838625 0.08714155 0.00572712 247.24334184 0.08648410 0.00568355 249.25396114 0.08579363 0.00563781 251.13891673 0.08515621 0.00559559