# omega total a= 1 L= 2 0.06283185 0.18254968 0.02461832 0.18849556 0.34522643 0.02618771 0.31415927 0.50819413 0.03326684 0.43982297 0.66555238 0.04215915 0.56548668 0.81059809 0.04881353 0.69115038 0.94650148 0.05549787 0.81681409 1.07294119 0.06227278 0.94247780 1.18945772 0.06896735 1.06814150 1.29454718 0.07465092 1.19380521 1.38912112 0.07981810 1.31946891 1.47357123 0.08449748 1.44513262 1.54825090 0.08863401 1.57079633 1.61376304 0.09228327 1.69646003 1.67071519 0.09545540 1.82212374 1.71984124 0.09822229 1.94778745 1.76192226 0.10069695 2.07345115 1.79770314 0.10298140 2.19911486 1.82780207 0.10510200 2.32477856 1.85272332 0.10702468 2.45044227 1.87293082 0.10871344 2.57610598 1.88889689 0.11016733 2.70176968 1.90109414 0.11141532 2.82743339 1.90996052 0.11249010 2.95309709 1.91588348 0.11341415 3.07876080 1.91920542 0.11420138 3.20442451 1.92023175 0.11486176 3.33008821 1.91923565 0.11540369 3.45575192 1.91646158 0.11583511 3.58141563 1.91212959 0.11616498 3.70707933 1.90643920 0.11640435 3.83274304 1.89957119 0.11656589 3.95840674 1.89168703 0.11666186 4.08407045 1.88292830 0.11670213 4.20973416 1.87341747 0.11669331 4.33539786 1.86326023 0.11663922 4.46106157 1.85254866 0.11654217 4.58672527 1.84136382 0.11640388 4.71238898 1.82977782 0.11622614 4.83805269 1.81785500 0.11601096 4.96371639 1.80565294 0.11576060 5.08938010 1.79322309 0.11547742 5.21504380 1.78061178 0.11516414 5.34070751 1.76786077 0.11482374 5.46637122 1.75500756 0.11445936 5.59203492 1.74208575 0.11407422 5.71769863 1.72912498 0.11367120 5.84336234 1.71615095 0.11325263 5.96902604 1.70318558 0.11282014 6.09468975 1.69024742 0.11237475 6.22035345 1.67735182 0.11191678 6.34601716 1.66451163 0.11144619 6.47168087 1.65173760 0.11096269 6.59734457 1.63903891 0.11046604 6.72300828 1.62642362 0.10995618 6.84867198 1.61389914 0.10943351 6.97433569 1.60147214 0.10889868 7.09999940 1.58914904 0.10835287 7.22566310 1.57693596 0.10779768 7.35132681 1.56483854 0.10723489 7.47699052 1.55286182 0.10666634 7.60265422 1.54101032 0.10609385 7.72831793 1.52928779 0.10551909 7.85398163 1.51769711 0.10494337 7.97964534 1.50624033 0.10436769 8.10530905 1.49491870 0.10379272 8.23097275 1.48373287 0.10321889 8.35663646 1.47268275 0.10264632 8.48230016 1.46176793 0.10207505 8.60796387 1.45098770 0.10150510 8.73362758 1.44034111 0.10093640 8.85929128 1.42982706 0.10036896 8.98495499 1.41944428 0.09980274 9.11061870 1.40919161 0.09923786 9.23628240 1.39906777 0.09867447 9.36194611 1.38907143 0.09811271 9.48760981 1.37920119 0.09755274 9.61327352 1.36945562 0.09699474 9.73893723 1.35983321 0.09643883 9.86460093 1.35033234 0.09588512 9.99026464 1.34095133 0.09533366 10.11592834 1.33168845 0.09478446 10.24159205 1.32254205 0.09423764 10.36725576 1.31351016 0.09369304 10.49291946 1.30459113 0.09315076 10.61858317 1.29578308 0.09261071 10.74424688 1.28708432 0.09207299 10.86991058 1.27849306 0.09153754 10.99557429 1.27000769 0.09100450 11.12123799 1.26162653 0.09047391 11.24690170 1.25334804 0.08994593 11.37256541 1.24517073 0.08942074 11.49822911 1.23709303 0.08889845 11.62389282 1.22911360 0.08837931 11.74955652 1.22123089 0.08786343 11.87522023 1.21344356 0.08735105 12.00088394 1.20575015 0.08684227 12.12654764 1.19814930 0.08633731 12.25221135 1.19063951 0.08583618 12.37787506 1.18321944 0.08533908 12.50353876 1.17588753 0.08484594 12.62920247 1.16864242 0.08435687 12.75486617 1.16148260 0.08387182 12.88052988 1.15440657 0.08339073 13.00619359 1.14741292 0.08291359 13.13185729 1.14050020 0.08244032 13.25752100 1.13366693 0.08197083 13.38318470 1.12691175 0.08150505 13.50884841 1.12023327 0.08104292 13.63451212 1.11363011 0.08058433 13.76017582 1.10710101 0.08012925 13.88583953 1.10064463 0.07967758 14.01150324 1.09425975 0.07922928 14.13716694 1.08794524 0.07878436 14.26283065 1.08169982 0.07834271 14.38849435 1.07552248 0.07790440 14.51415806 1.06941206 0.07746937 14.63982177 1.06336751 0.07703762 14.76548547 1.05738782 0.07660918 14.89114918 1.05147201 0.07618407 15.01681288 1.04561905 0.07576226 15.14247659 1.03982805 0.07534381 15.26814030 1.03409799 0.07492867 15.39380400 1.02842803 0.07451691 15.51946771 1.02281718 0.07410847 15.64513141 1.01726462 0.07370341 15.77079512 1.01176947 0.07330171 15.89645883 1.00633087 0.07290338 16.02212253 1.00094794 0.07250838 16.14778624 0.99561991 0.07211673 16.27344995 0.99034591 0.07172840 16.39911365 0.98512510 0.07134333 16.52477736 0.97995684 0.07096162 16.65044106 0.97484012 0.07058307 16.77610477 0.96977441 0.07020784 16.90176848 0.96475874 0.06983572 17.02743218 0.95979255 0.06946683 17.15309589 0.95487503 0.06910108 17.27875959 0.95000548 0.06873844 17.40442330 0.94518320 0.06837888 17.53008701 0.94040749 0.06802236 17.65575071 0.93567774 0.06766890 17.78141442 0.93099324 0.06731843 17.90707813 0.92635336 0.06697093 18.03274183 0.92175748 0.06662637 18.15840554 0.91720498 0.06628474 18.28406924 0.91269522 0.06594597 18.40973295 0.90822766 0.06561008 18.53539666 0.90380169 0.06527704 18.66106036 0.89941672 0.06494678 18.78672407 0.89507221 0.06461932 18.91238777 0.89076761 0.06429461 19.03805148 0.88650238 0.06397264 19.16371519 0.88227596 0.06365337 19.28937889 0.87808786 0.06333677 19.41504260 0.87393755 0.06302282 19.54070631 0.86982452 0.06271149 19.66637001 0.86574832 0.06240278 19.79203372 0.86170839 0.06209661 19.91769742 0.85770430 0.06179300 20.04336113 0.85373558 0.06149190 20.16902484 0.84980171 0.06119326 20.29468854 0.84590232 0.06089711 20.42035225 0.84203688 0.06060336 20.54601595 0.83820499 0.06031202 20.67167966 0.83440622 0.06002305 20.79734337 0.83064013 0.05973643 20.92300707 0.82690630 0.05945211 21.04867078 0.82320433 0.05917008 21.17433449 0.81953381 0.05889032 21.29999819 0.81589433 0.05861278 21.42566190 0.81228553 0.05833746 21.55132560 0.80870701 0.05806432 21.67698931 0.80515839 0.05779334 21.80265302 0.80163931 0.05752450 21.92831672 0.79814939 0.05725776 22.05398043 0.79468830 0.05699312 22.17964413 0.79125568 0.05673056 22.30530784 0.78785119 0.05647004 22.43097155 0.78447450 0.05621157 22.55663525 0.78112527 0.05595511 22.68229896 0.77780319 0.05570065 22.80796267 0.77450793 0.05544818 22.93362637 0.77123918 0.05519767 23.05929008 0.76799666 0.05494913 23.18495378 0.76478003 0.05470252 23.31061749 0.76158903 0.05445784 23.43628120 0.75842335 0.05421507 23.56194490 0.75528271 0.05397421 23.68760861 0.75216683 0.05373524 23.81327231 0.74907544 0.05349815 23.93893602 0.74600826 0.05326292 24.06459973 0.74296502 0.05302955 24.19026343 0.73994547 0.05279802 24.31592714 0.73694934 0.05256833 24.44159084 0.73397638 0.05234045 24.56725455 0.73102633 0.05211438 24.69291826 0.72809894 0.05189011 24.81858196 0.72519398 0.05166762 24.94424567 0.72231118 0.05144689 25.06990938 0.71945033 0.05122792 25.19557308 0.71661117 0.05101070 25.44690049 0.71099703 0.05058142 25.57256420 0.70822158 0.05036934 25.82389161 0.70273281 0.04995023 25.94955532 0.70001906 0.04974316 26.20088273 0.69465167 0.04933392 26.32654644 0.69199765 0.04913174 26.57787385 0.68674781 0.04873210 26.82920126 0.68157430 0.04833871 26.95486497 0.67901564 0.04814430 27.20619238 0.67395359 0.04776002 27.45751979 0.66896389 0.04738163 27.58318350 0.66649571 0.04719462 27.83451091 0.66161176 0.04682484 28.08583832 0.65679648 0.04646064 28.21150203 0.65441415 0.04628059 28.46282944 0.64969924 0.04592451 28.71415685 0.64504955 0.04557369 28.96548427 0.64046376 0.04522801 29.09114797 0.63819442 0.04505706 29.34247538 0.63370206 0.04471886 29.59380280 0.62927046 0.04438552 29.84513021 0.62489839 0.04405691 30.09645762 0.62058470 0.04373294 30.34778503 0.61632824 0.04341350 30.47344874 0.61422112 0.04325545 30.72477615 0.61004844 0.04294262 30.97610356 0.60593028 0.04263410 31.22743098 0.60186560 0.04232977 31.47875839 0.59785338 0.04202956 31.73008580 0.59389264 0.04173339 31.98141321 0.58998241 0.04144117 32.23274063 0.58612177 0.04115282 32.48406804 0.58230979 0.04086826 32.73539545 0.57854558 0.04058743 32.98672286 0.57482828 0.04031025 33.23805027 0.57115704 0.04003665 33.48937769 0.56753102 0.03976657 33.74070510 0.56394942 0.03949993 33.99203251 0.56041145 0.03923668 34.24335992 0.55691633 0.03897675 34.49468734 0.55346332 0.03872008 34.74601475 0.55005168 0.03846662 34.99734216 0.54668068 0.03821630 35.37433328 0.54169887 0.03784660 35.62566069 0.53842646 0.03760390 35.87698810 0.53519230 0.03736416 36.12831552 0.53199575 0.03712732 36.37964293 0.52883618 0.03689333 36.75663405 0.52416479 0.03654759 37.00796146 0.52109496 0.03632053 37.25928887 0.51805999 0.03609615 37.51061628 0.51505931 0.03587441 37.88760740 0.51062134 0.03554666 38.13893481 0.50770393 0.03533133 38.39026223 0.50481889 0.03511848 38.76725335 0.50055087 0.03480380 39.01858076 0.49774448 0.03459700 39.39557188 0.49359210 0.03429120 39.64689929 0.49086127 0.03409021 39.89822670 0.48815983 0.03389147 40.27521782 0.48416179 0.03359750 40.52654523 0.48153184 0.03340424 40.90353635 0.47763894 0.03311834 41.15486376 0.47507774 0.03293034 41.53185488 0.47128599 0.03265218 41.78318229 0.46879094 0.03246924 42.16017341 0.46509654 0.03219852 42.53716453 0.46145880 0.03193212 42.78849194 0.45906449 0.03175688 43.16548306 0.45551838 0.03149748 43.41681047 0.45318402 0.03132681 43.79380159 0.44972620 0.03107414 44.17079271 0.44631981 0.03082539 44.54778383 0.44296373 0.03058047 44.79911124 0.44075376 0.03041927 45.17610236 0.43747915 0.03018054 45.55309348 0.43425202 0.02994542 45.93008460 0.43107138 0.02971383 46.18141201 0.42897629 0.02956136 46.55840313 0.42587095 0.02933549 46.93539424 0.42280955 0.02911294 47.31238536 0.41979117 0.02889366 47.68937648 0.41681493 0.02867756 48.06636760 0.41387996 0.02846459 48.44335872 0.41098543 0.02825468 48.82034984 0.40813052 0.02804776 49.19734096 0.40531444 0.02784377 49.57433207 0.40253641 0.02764265 49.95132319 0.39979568 0.02744435 50.32831431 0.39709151 0.02724880 50.70530543 0.39442319 0.02705596 51.08229655 0.39179001 0.02686576 51.45928767 0.38919131 0.02667815 51.83627878 0.38662641 0.02649309 52.33893361 0.38325802 0.02625020 52.71592473 0.38076952 0.02607088 53.09291585 0.37831273 0.02589393 53.46990696 0.37588706 0.02571932 53.97256179 0.37270023 0.02549006 54.34955291 0.37034494 0.02532072 54.72654403 0.36801888 0.02515357 55.22919885 0.36496204 0.02493404 55.60618997 0.36270215 0.02477183 55.98318109 0.36046976 0.02461169 56.48583591 0.35753519 0.02440129 56.86282703 0.35536508 0.02424579 57.36548185 0.35251182 0.02404146 57.74247297 0.35040145 0.02389042 58.24512780 0.34762621 0.02369190 58.62211892 0.34557316 0.02354512 59.12477374 0.34287282 0.02335217 59.62742857 0.34021392 0.02316231 60.00441968 0.33824639 0.02302188 60.50707451 0.33565780 0.02283724 61.00972933 0.33310814 0.02265548 61.38672045 0.33122093 0.02252102 61.88937528 0.32873735 0.02234416 62.39203010 0.32629039 0.02217001 62.89468492 0.32387926 0.02199852 63.39733975 0.32150316 0.02182961 63.89999457 0.31916136 0.02166324 64.40264940 0.31685313 0.02149935 64.77964052 0.31514354 0.02137802 65.28229534 0.31289233 0.02121834 65.78495017 0.31067278 0.02106099 66.41326870 0.30794184 0.02086750 66.91592352 0.30579111 0.02071522 67.41857835 0.30366996 0.02056512 67.92123317 0.30157779 0.02041714 68.42388800 0.29951399 0.02027125 68.92654282 0.29747802 0.02012740 69.42919764 0.29546930 0.01998556 70.05751618 0.29299591 0.01981100 70.56017100 0.29104657 0.01967350 71.06282582 0.28912278 0.01953788 71.69114435 0.28675322 0.01937093 72.19379918 0.28488512 0.01923938 72.82211771 0.28258367 0.01907741 73.32477253 0.28076889 0.01894976 73.95309107 0.27853267 0.01879255 74.45574589 0.27676897 0.01866863 75.08406442 0.27459525 0.01851598 75.58671925 0.27288050 0.01839563 76.21503778 0.27076671 0.01824734 76.84335631 0.26868516 0.01810141 77.34601113 0.26704263 0.01798631 77.97432966 0.26501727 0.01784446 78.60264819 0.26302215 0.01770480 79.23096672 0.26105661 0.01756729 79.85928525 0.25911999 0.01743189 80.36194008 0.25759109 0.01732504 80.99025861 0.25570496 0.01719329 81.61857714 0.25384602 0.01706351 82.24689567 0.25201370 0.01693565 82.87521420 0.25020743 0.01680968 83.62919644 0.24807353 0.01666095 84.25751497 0.24632266 0.01653898 84.88583350 0.24459613 0.01641877 85.51415203 0.24289344 0.01630028 86.14247056 0.24121411 0.01618347 86.89645280 0.23922906 0.01604547 87.52477133 0.23759945 0.01593224 88.15308986 0.23599170 0.01582059 88.90707210 0.23409067 0.01568864 89.53539063 0.23252953 0.01558033 90.28937286 0.23068320 0.01545231 90.91769139 0.22916667 0.01534721 91.67167363 0.22737273 0.01522294 92.42565587 0.22560643 0.01510066 93.05397440 0.22415518 0.01500024 93.80795664 0.22243793 0.01488147 94.56193887 0.22074658 0.01476455 95.19025740 0.21935649 0.01466850 95.94423964 0.21771113 0.01455487 96.69822188 0.21609007 0.01444297 97.45220411 0.21449277 0.01433277 98.20618635 0.21291873 0.01422423 98.96016859 0.21136743 0.01411730 99.71415082 0.20983839 0.01401197 100.46813306 0.20833113 0.01390818 101.34777900 0.20659958 0.01378901 102.10176124 0.20513796 0.01368847 102.85574348 0.20369670 0.01358937 103.60972572 0.20227539 0.01349169 104.48937166 0.20064185 0.01337948 105.24335390 0.19926237 0.01328477 106.12299984 0.19767655 0.01317594 106.87698208 0.19633707 0.01308406 107.75662802 0.19479693 0.01297847 108.51061025 0.19349574 0.01288930 109.39025620 0.19199932 0.01278679 110.26990214 0.19052568 0.01268590 111.14954808 0.18907430 0.01258657 111.90353032 0.18784761 0.01250266 112.78317626 0.18643626 0.01240616 113.66282221 0.18504580 0.01231113 114.54246815 0.18367575 0.01221754 115.42211409 0.18232568 0.01212535 116.30176004 0.18099515 0.01203454 117.18140598 0.17968374 0.01194507 118.18671563 0.17820788 0.01184443 119.06636157 0.17693609 0.01175774 119.94600751 0.17568217 0.01167231 120.95131716 0.17427054 0.01157617 121.83096311 0.17305369 0.01149334 122.83627276 0.17168349 0.01140010 123.71591870 0.17050209 0.01131975 124.72122835 0.16917152 0.01122928 125.60087429 0.16802405 0.01115130 126.60618394 0.16673143 0.01106349 127.61149359 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