# omega total a= 1 L= 2 0.06283185 0.13566652 0.00674442 0.18849556 0.30867969 0.01750650 0.31415927 0.47215426 0.02776464 0.43982297 0.62653138 0.03735473 0.56548668 0.77153999 0.04621439 0.69115038 0.90679118 0.05433474 0.81681409 1.03196098 0.06173304 0.94247780 1.14686949 0.06843586 1.06814150 1.25151690 0.07447939 1.19380521 1.34608366 0.07991085 1.31946891 1.43090494 0.08478475 1.44513262 1.50643226 0.08915604 1.57079633 1.57319313 0.09307315 1.69646003 1.63175751 0.09657436 1.82212374 1.68271555 0.09968940 1.94778745 1.72666410 0.10244406 2.07345115 1.76419755 0.10486481 2.19911486 1.79589848 0.10698062 2.32477856 1.82232851 0.10882260 2.45044227 1.84401985 0.11042209 2.57610598 1.86146888 0.11180866 2.70176968 1.87513244 0.11300856 2.82743339 1.88542666 0.11404406 2.95309709 1.89272786 0.11493349 3.07876080 1.89737497 0.11569184 3.20442451 1.89967247 0.11633151 3.33008821 1.89989351 0.11686304 3.45575192 1.89828297 0.11729571 3.58141563 1.89506031 0.11763799 3.70707933 1.89042205 0.11789776 3.83274304 1.88454408 0.11808242 3.95840674 1.87758343 0.11819870 4.08407045 1.86967984 0.11825245 4.20973416 1.86095728 0.11824845 4.33539786 1.85152544 0.11819048 4.46106157 1.84148146 0.11808159 4.58672527 1.83091169 0.11792457 4.71238898 1.81989332 0.11772232 4.83805269 1.80849573 0.11747823 4.96371639 1.79678145 0.11719616 5.08938010 1.78480677 0.11688031 5.21504380 1.77262208 0.11653488 5.34070751 1.76027208 0.11616372 5.46637122 1.74779598 0.11577004 5.59203492 1.73522788 0.11535631 5.71769863 1.72259720 0.11492419 5.84336234 1.70992939 0.11447477 5.96902604 1.69724644 0.11400877 6.09468975 1.68456770 0.11352682 6.22035345 1.67191032 0.11302968 6.34601716 1.65928974 0.11251835 6.47168087 1.64671994 0.11199416 6.59734457 1.63421362 0.11145865 6.72300828 1.62178221 0.11091357 6.84867198 1.60943590 0.11036063 6.97433569 1.59718362 0.10980153 7.09999940 1.58503307 0.10923774 7.22566310 1.57299078 0.10867056 7.35132681 1.56106216 0.10810104 7.47699052 1.54925160 0.10753002 7.60265422 1.53756266 0.10695818 7.72831793 1.52599806 0.10638600 7.85398163 1.51455988 0.10581388 7.97964534 1.50324953 0.10524203 8.10530905 1.49206794 0.10467063 8.23097275 1.48101552 0.10409970 8.35663646 1.47009227 0.10352923 8.48230016 1.45929787 0.10295911 8.60796387 1.44863171 0.10238923 8.73362758 1.43809293 0.10181945 8.85929128 1.42768061 0.10124969 8.98495499 1.41739371 0.10067991 9.11061870 1.40723114 0.10011013 9.23628240 1.39719183 0.09954046 9.36194611 1.38727466 0.09897106 9.48760981 1.37747854 0.09840217 9.61327352 1.36780232 0.09783401 9.73893723 1.35824481 0.09726684 9.86460093 1.34880479 0.09670091 9.99026464 1.33948092 0.09613641 10.11592834 1.33027181 0.09557353 10.24159205 1.32117595 0.09501235 10.36725576 1.31219186 0.09445299 10.49291946 1.30331790 0.09389547 10.61858317 1.29455247 0.09333986 10.74424688 1.28589395 0.09278617 10.86991058 1.27734073 0.09223446 10.99557429 1.26889120 0.09168476 11.12123799 1.26054381 0.09113719 11.24690170 1.25229706 0.09059186 11.37256541 1.24414945 0.09004890 11.49822911 1.23609956 0.08950849 11.62389282 1.22814600 0.08897081 11.74955652 1.22028739 0.08843607 11.87522023 1.21252238 0.08790447 12.00088394 1.20484965 0.08737621 12.12654764 1.19726790 0.08685150 12.25221135 1.18977579 0.08633051 12.37787506 1.18237200 0.08581340 12.50353876 1.17505526 0.08530031 12.62920247 1.16782424 0.08479137 12.75486617 1.16067763 0.08428668 12.88052988 1.15361413 0.08378630 13.00619359 1.14663242 0.08329029 13.13185729 1.13973122 0.08279867 13.25752100 1.13290923 0.08231148 13.38318470 1.12616519 0.08182872 13.50884841 1.11949783 0.08135037 13.63451212 1.11290587 0.08087642 13.76017582 1.10638811 0.08040683 13.88583953 1.09994334 0.07994159 14.01150324 1.09357033 0.07948062 14.13716694 1.08726792 0.07902392 14.26283065 1.08103498 0.07857143 14.38849435 1.07487035 0.07812310 14.51415806 1.06877291 0.07767888 14.63982177 1.06274159 0.07723873 14.76548547 1.05677532 0.07680260 14.89114918 1.05087305 0.07637044 15.01681288 1.04503373 0.07594219 15.14247659 1.03925640 0.07551784 15.26814030 1.03354005 0.07509731 15.39380400 1.02788370 0.07468057 15.51946771 1.02228643 0.07426757 15.64513141 1.01674731 0.07385827 15.77079512 1.01126544 0.07345264 15.89645883 1.00583992 0.07305062 16.02212253 1.00046989 0.07265217 16.14778624 0.99515449 0.07225726 16.27344995 0.98989292 0.07186586 16.39911365 0.98468432 0.07147792 16.52477736 0.97952793 0.07109340 16.65044106 0.97442296 0.07071228 16.77610477 0.96936864 0.07033451 16.90176848 0.96436422 0.06996008 17.02743218 0.95940898 0.06958893 17.15309589 0.95450220 0.06922105 17.27875959 0.94964317 0.06885639 17.40442330 0.94483120 0.06849493 17.53008701 0.94006563 0.06813665 17.65575071 0.93534579 0.06778151 17.78141442 0.93067103 0.06742947 17.90707813 0.92604071 0.06708052 18.03274183 0.92145421 0.06673462 18.15840554 0.91691093 0.06639174 18.28406924 0.91241025 0.06605186 18.40973295 0.90795159 0.06571493 18.53539666 0.90353436 0.06538094 18.66106036 0.89915801 0.06504986 18.78672407 0.89482196 0.06472164 18.91238777 0.89052568 0.06439627 19.03805148 0.88626863 0.06407372 19.16371519 0.88205026 0.06375394 19.28937889 0.87787006 0.06343691 19.41504260 0.87372752 0.06312260 19.54070631 0.86962213 0.06281098 19.66637001 0.86555339 0.06250200 19.79203372 0.86152083 0.06219564 19.91769742 0.85752396 0.06189188 20.04336113 0.85356230 0.06159066 20.16902484 0.84963539 0.06129196 20.29468854 0.84574278 0.06099575 20.42035225 0.84188403 0.06070200 20.54601595 0.83805868 0.06041066 20.67167966 0.83426630 0.06012170 20.79734337 0.83050647 0.05983511 20.92300707 0.82677877 0.05955083 21.04867078 0.82308278 0.05926884 21.17433449 0.81941809 0.05898910 21.29999819 0.81578432 0.05871160 21.42566190 0.81218107 0.05843628 21.55132560 0.80860795 0.05816314 21.67698931 0.80506460 0.05789213 21.80265302 0.80155062 0.05762322 21.92831672 0.79806567 0.05735640 22.05398043 0.79460939 0.05709163 22.17964413 0.79118142 0.05682890 22.30530784 0.78778144 0.05656818 22.43097155 0.78440909 0.05630945 22.55663525 0.78106405 0.05605269 22.68229896 0.77774599 0.05579787 22.80796267 0.77445461 0.05554499 22.93362637 0.77118958 0.05529402 23.05929008 0.76795061 0.05504495 23.18495378 0.76473739 0.05479776 23.31061749 0.76154964 0.05455244 23.43628120 0.75838706 0.05430899 23.56194490 0.75524937 0.05406738 23.68760861 0.75213629 0.05382760 23.81327231 0.74904756 0.05358965 23.93893602 0.74598290 0.05335352 24.06459973 0.74294205 0.05311919 24.19026343 0.73992476 0.05288666 24.31592714 0.73693076 0.05265591 24.44159084 0.73395980 0.05242694 24.56725455 0.73101164 0.05219975 24.69291826 0.72808604 0.05197431 24.81858196 0.72518276 0.05175063 24.94424567 0.72230155 0.05152869 25.06990938 0.71944218 0.05130848 25.19557308 0.71660442 0.05109000 25.44690049 0.71099284 0.05065815 25.57256420 0.70821856 0.05044477 25.82389161 0.70273193 0.05002305 25.94955532 0.70001915 0.04981467 26.20088273 0.69465359 0.04940284 26.32654644 0.69200039 0.04919936 26.57787385 0.68675213 0.04879719 26.82920126 0.68158005 0.04840131 26.95486497 0.67902208 0.04820570 27.20619238 0.67396130 0.04781903 27.45751979 0.66897282 0.04743837 27.58318350 0.66650522 0.04725024 27.83451091 0.66162238 0.04687832 28.08583832 0.65680817 0.04651207 28.21150203 0.65442637 0.04633103 28.46282944 0.64971248 0.04597305 28.71415685 0.64506379 0.04562043 28.96548427 0.64047896 0.04527303 29.09114797 0.63821010 0.04510126 29.34247538 0.63371868 0.04476148 29.59380280 0.62928799 0.04442664 29.84513021 0.62491682 0.04409662 30.09645762 0.62060400 0.04377130 30.34778503 0.61634839 0.04345059 30.47344874 0.61424169 0.04329193 30.72477615 0.61006983 0.04297793 30.97610356 0.60595247 0.04266829 31.22743098 0.60188855 0.04236290 31.47875839 0.59787707 0.04206168 31.73008580 0.59391704 0.04176453 31.98141321 0.59000751 0.04147138 32.23274063 0.58614752 0.04118215 32.48406804 0.58233617 0.04089675 32.73539545 0.57857257 0.04061510 32.98672286 0.57485585 0.04033714 33.23805027 0.57118515 0.04006279 33.48937769 0.56755965 0.03979198 33.74070510 0.56397854 0.03952465 33.99203251 0.56044104 0.03926072 34.24335992 0.55694636 0.03900014 34.49468734 0.55349376 0.03874285 34.74601475 0.55008251 0.03848877 34.99734216 0.54671188 0.03823786 35.37433328 0.54173057 0.03786731 35.62566069 0.53845846 0.03762406 35.87698810 0.53522459 0.03738379 36.12831552 0.53202830 0.03714643 36.37964293 0.52886897 0.03691195 36.75663405 0.52419791 0.03656549 37.00796146 0.52112827 0.03633795 37.25928887 0.51809348 0.03611312 37.51061628 0.51509296 0.03589094 37.88760740 0.51065520 0.03556254 38.13893481 0.50773791 0.03534680 38.39026223 0.50485297 0.03513356 38.76725335 0.50058509 0.03481829 39.01858076 0.49777878 0.03461112 39.39557188 0.49362648 0.03430477 39.64689929 0.49089569 0.03410342 39.89822670 0.48819429 0.03390433 40.27521782 0.48419627 0.03360987 40.52654523 0.48156633 0.03341628 40.90353635 0.47767342 0.03312990 41.15486376 0.47511221 0.03294160 41.53185488 0.47132042 0.03266299 41.78318229 0.46882533 0.03247977 42.16017341 0.46513087 0.03220863 42.53716453 0.46149304 0.03194183 42.78849194 0.45909867 0.03176633 43.16548306 0.45555245 0.03150655 43.41681047 0.45321802 0.03133564 43.79380159 0.44976008 0.03108261 44.17079271 0.44635355 0.03083351 44.54778383 0.44299733 0.03058825 44.79911124 0.44078726 0.03042684 45.17610236 0.43751248 0.03018780 45.55309348 0.43428518 0.02995238 45.93008460 0.43110437 0.02972049 46.18141201 0.42900915 0.02956783 46.55840313 0.42590363 0.02934168 46.93539424 0.42284204 0.02911887 47.31238536 0.41982346 0.02889932 47.68937648 0.41684701 0.02868297 48.06636760 0.41391184 0.02846976 48.44335872 0.41101710 0.02825961 48.82034984 0.40816198 0.02805246 49.19734096 0.40534568 0.02784825 49.57433207 0.40256743 0.02764693 49.95132319 0.39982648 0.02744842 50.32831431 0.39712208 0.02725267 50.70530543 0.39445353 0.02705963 51.08229655 0.39182013 0.02686924 51.45928767 0.38922120 0.02668146 51.83627878 0.38665607 0.02649622 52.33893361 0.38328737 0.02625311 52.71592473 0.38079864 0.02607362 53.09291585 0.37834162 0.02589651 53.46990696 0.37591572 0.02572175 53.97256179 0.37272858 0.02549229 54.34955291 0.37037306 0.02532281 54.72654403 0.36804677 0.02515552 55.22919885 0.36498962 0.02493581 55.60618997 0.36272950 0.02477348 55.98318109 0.36049688 0.02461321 56.48583591 0.35756200 0.02440265 56.86282703 0.35539167 0.02424704 57.36548185 0.35253811 0.02404256 57.74247297 0.35042751 0.02389140 58.24512780 0.34765197 0.02369275 58.62211892 0.34559870 0.02354587 59.12477374 0.34289806 0.02335279 59.62742857 0.34023887 0.02316280 60.00441968 0.33827112 0.02302229 60.50707451 0.33568224 0.02283753 61.00972933 0.33313230 0.02265566 61.38672045 0.33124488 0.02252112 61.88937528 0.32876102 0.02234415 62.39203010 0.32631378 0.02216990 62.89468492 0.32390236 0.02199831 63.39733975 0.32152600 0.02182931 63.89999457 0.31918393 0.02166285 64.40264940 0.31687542 0.02149887 64.77964052 0.31516564 0.02137748 65.28229534 0.31291417 0.02121772 65.78495017 0.31069436 0.02106029 66.41326870 0.30796310 0.02086671 66.91592352 0.30581212 0.02071436 67.41857835 0.30369072 0.02056419 67.92123317 0.30159830 0.02041614 68.42388800 0.29953426 0.02027019 68.92654282 0.29749805 0.02012628 69.42919764 0.29548909 0.01998438 70.05751618 0.29301541 0.01980975 70.56017100 0.29106584 0.01967220 71.06282582 0.28914182 0.01953653 71.69114435 0.28677198 0.01936951 72.19379918 0.28490366 0.01923792 72.82211771 0.28260194 0.01907589 73.32477253 0.28078695 0.01894819 73.95309107 0.27855046 0.01879093 74.45574589 0.27678655 0.01866697 75.08406442 0.27461257 0.01851427 75.58671925 0.27289763 0.01839388 76.21503778 0.27078359 0.01824556 76.84335631 0.26870179 0.01809958 77.34601113 0.26705907 0.01798445 77.97432966 0.26503347 0.01784256 78.60264819 0.26303812 0.01770287 79.23096672 0.26107234 0.01756532 79.85928525 0.25913550 0.01742988 80.36194008 0.25760643 0.01732301 80.99025861 0.25572007 0.01719123 81.61857714 0.25386092 0.01706142 82.24689567 0.25202839 0.01693354 82.87521420 0.25022191 0.01680754 83.62919644 0.24808776 0.01665877 84.25751497 0.24633669 0.01653678 84.88583350 0.24460996 0.01641655 85.51415203 0.24290708 0.01629804 86.14247056 0.24122756 0.01618121 86.89645280 0.23924229 0.01604319 87.52477133 0.23761248 0.01592994 88.15308986 0.23600456 0.01581827 88.90707210 0.23410331 0.01568630 89.53539063 0.23254200 0.01557798 90.28937286 0.23069546 0.01544994 90.91769139 0.22917876 0.01534483 91.67167363 0.22738463 0.01522055 92.42565587 0.22561814 0.01509825 93.05397440 0.22416672 0.01499782 93.80795664 0.22244929 0.01487904 94.56193887 0.22075776 0.01476211 95.19025740 0.21936751 0.01466605 95.94423964 0.21772198 0.01455241 96.69822188 0.21610074 0.01444050 97.45220411 0.21450328 0.01433030 98.20618635 0.21292906 0.01422175 98.96016859 0.21137760 0.01411482 99.71415082 0.20984840 0.01400947 100.46813306 0.20834098 0.01390568 101.34777900 0.20660925 0.01378651 102.10176124 0.20514748 0.01368596 102.85574348 0.20370607 0.01358686 103.60972572 0.20228462 0.01348918 104.48937166 0.20065092 0.01337697 105.24335390 0.19927129 0.01328225 106.12299984 0.19768532 0.01317342 106.87698208 0.19634570 0.01308154 107.75662802 0.19480540 0.01297594 108.51061025 0.19350409 0.01288677 109.39025620 0.19200752 0.01278427 110.26990214 0.19053374 0.01268337 111.14954808 0.18908222 0.01258405 111.90353032 0.18785541 0.01250014 112.78317626 0.18644393 0.01240364 113.66282221 0.18505333 0.01230862 114.54246815 0.18368316 0.01221503 115.42211409 0.18233296 0.01212284 116.30176004 0.18100231 0.01203203 117.18140598 0.17969078 0.01194257 118.18671563 0.17821478 0.01184193 119.06636157 0.17694287 0.01175525 119.94600751 0.17568884 0.01166982 120.95131716 0.17427708 0.01157369 121.83096311 0.17306013 0.01149086 122.83627276 0.17168980 0.01139763 123.71591870 0.17050830 0.01131728 124.72122835 0.16917761 0.01122682 125.60087429 0.16803005 0.01114885 126.60618394 0.16673731 0.01106104 127.61149359 0.16546415 0.01097460 128.61680324 0.16421014 0.01088950 129.62211289 0.16297484 0.01080570 130.62742254 0.16175785 0.01072318 131.63273219 0.16055875 0.01064190 132.63804183 0.15937716 0.01056184 133.64335148 0.15821270 0.01048298 134.64866113 0.15706500 0.01040527 135.65397078 0.15593371 0.01032871 136.78494414 0.15468017 0.01024391 137.79025379 0.15358259 0.01016969 138.92122714 0.15236614 0.01008746 139.92653679 0.15130079 0.01001547 141.05751015 0.15011981 0.00993570 142.06281980 0.14908530 0.00986584 143.19379315 0.14793826 0.00978842 144.32476651 0.14680861 0.00971220 145.45573986 0.14569595 0.00963715 146.58671322 0.14459990 0.00956325 147.71768657 0.14352011 0.00949048 148.84865993 0.14245620 0.00941879 149.97963328 0.14140783 0.00934818 151.11060664 0.14037467 0.00927862 152.24157999 0.13935639 0.00921008 153.49821705 0.13824203 0.00913511 154.62919041 0.13725413 0.00906866 155.88582747 0.13617277 0.00899595 157.01680083 0.13521391 0.00893150 158.27343789 0.13416412 0.00886096 159.53007495 0.13313039 0.00879153 160.66104830 0.13221347 0.00872996 161.91768537 0.13120926 0.00866254 163.17432243 0.13022009 0.00859616 164.43095949 0.12924562 0.00853079 165.68759655 0.12828553 0.00846640 167.06989732 0.12724566 0.00839668 168.32653438 0.12631475 0.00833429 169.58317144 0.12539727 0.00827282 170.96547221 0.12440322 0.00820623 172.22210927 0.12351303 0.00814662 173.60441004 0.12254832 0.00808204 174.86104710 0.12168421 0.00802421 176.24334787 0.12074757 0.00796154 177.62564863 0.11982515 0.00789985 179.00794940 0.11891662 0.00783909 180.39025017 0.11802169 0.00777927 181.77255094 0.11714004 0.00772035 183.15485170 0.11627139 0.00766231 184.66281618 0.11533825 0.00759999 186.04511695 0.11449586 0.00754373 187.42741771 0.11366561 0.00748831 188.93538219 0.11277342 0.00742876 190.31768295 0.11196773 0.00737500 191.82564743 0.11110175 0.00731724 193.33361190 0.11024898 0.00726037 194.84157638 0.10940913 0.00720437 196.34954085 0.10858191 0.00714923 197.85750532 0.10776703 0.00709493 199.36546980 0.10696423 0.00704145 200.87343427 0.10617323 0.00698876 202.50706245 0.10532934 0.00693256 204.01502692 0.10456212 0.00688149 205.64865510 0.10374341 0.00682699 207.15661958 0.10299892 0.00677745 208.79024776 0.10220428 0.00672459 210.42387594 0.10142176 0.00667254 212.05750412 0.10065106 0.00662129 213.69113230 0.09989193 0.00657082 215.32476048 0.09914410 0.00652111 216.95838866 0.09840734 0.00647215 218.59201684 0.09768138 0.00642391 220.35130872 0.09691142 0.00637277 221.98493690 0.09620719 0.00632600 223.74422879 0.09546008 0.00627639 225.50352067 0.09472444 0.00622755 227.26281256 0.09400000 0.00617947 229.02210445 0.09328650 0.00613212 230.78139633 0.09258370 0.00608549 232.54068822 0.09189137 0.00603957 234.29998010 0.09120926 0.00599433 236.18493570 0.09048954 0.00594661 237.94422758 0.08982792 0.00590275 239.82918318 0.08912965 0.00585647 241.71413877 0.08844211 0.00581090 243.47343065 0.08780986 0.00576901 245.35838625 0.08714237 0.00572479 247.24334184 0.08648491 0.00568125 249.25396114 0.08579442 0.00563552 251.13891673 0.08515698 0.00559331