# omega total a= 1 L= 2 0.06283185 0.29309658 0.10272568 0.18849556 0.39786396 0.09145246 0.31415927 0.51893214 0.09171361 0.43982297 0.64888452 0.09913715 0.56548668 0.77081977 0.10500028 0.69115038 0.88839740 0.11171267 0.81681409 0.99770367 0.11743881 0.94247780 1.09959188 0.12289202 1.06814150 1.19353746 0.12780928 1.19380521 1.27894008 0.13179460 1.31946891 1.35660909 0.13533875 1.44513262 1.42680763 0.13849443 1.57079633 1.48980384 0.14121313 1.69646003 1.54599005 0.14352036 1.82212374 1.59575137 0.14544880 1.94778745 1.63942572 0.14698667 2.07345115 1.67738182 0.14813150 2.19911486 1.71009103 0.14894768 2.32477856 1.73806464 0.14952854 2.45044227 1.76176085 0.14993681 2.57610598 1.78156459 0.15019483 2.70176968 1.79782049 0.15030962 2.82743339 1.81085143 0.15028708 2.95309709 1.82095776 0.15013294 3.07876080 1.82841897 0.14985457 3.20442451 1.83349757 0.14946296 3.33008821 1.83644039 0.14897246 3.45575192 1.83747870 0.14839993 3.58141563 1.83682795 0.14776369 3.70707933 1.83468637 0.14708168 3.83274304 1.83123223 0.14636862 3.95840674 1.82662216 0.14563408 4.08407045 1.82099206 0.14488239 4.20973416 1.81445981 0.14411388 4.33539786 1.80712901 0.14332669 4.46106157 1.79909192 0.14251800 4.58672527 1.79043160 0.14168500 4.71238898 1.78122355 0.14082556 4.83805269 1.77153705 0.13993893 4.96371639 1.76143628 0.13902618 5.08938010 1.75098089 0.13809025 5.21504380 1.74022636 0.13713574 5.34070751 1.72922371 0.13616815 5.46637122 1.71801952 0.13519340 5.59203492 1.70665535 0.13421681 5.71769863 1.69516782 0.13324272 5.84336234 1.68358864 0.13227414 5.96902604 1.67194499 0.13131277 6.09468975 1.66026005 0.13035916 6.22035345 1.64855375 0.12941315 6.34601716 1.63684329 0.12847410 6.47168087 1.62514360 0.12754110 6.59734457 1.61346781 0.12661327 6.72300828 1.60182730 0.12568959 6.84867198 1.59023239 0.12476941 6.97433569 1.57869210 0.12385213 7.09999940 1.56721474 0.12293758 7.22566310 1.55580793 0.12202596 7.35132681 1.54447883 0.12111789 7.47699052 1.53323413 0.12021440 7.60265422 1.52208005 0.11931677 7.72831793 1.51102228 0.11842645 7.85398163 1.50006589 0.11754489 7.97964534 1.48921519 0.11667339 8.10530905 1.47847375 0.11581300 8.23097275 1.46784438 0.11496454 8.35663646 1.45732906 0.11412838 8.48230016 1.44692902 0.11330458 8.60796387 1.43664484 0.11249286 8.73362758 1.42647651 0.11169267 8.85929128 1.41642353 0.11090320 8.98495499 1.40648497 0.11012347 9.11061870 1.39665961 0.10935239 9.23628240 1.38694602 0.10858883 9.36194611 1.37734276 0.10783183 9.48760981 1.36784814 0.10708026 9.61327352 1.35846077 0.10633343 9.73893723 1.34917924 0.10559072 9.86460093 1.34000229 0.10485171 9.99026464 1.33092888 0.10411628 10.11592834 1.32195819 0.10338457 10.24159205 1.31308927 0.10265666 10.36725576 1.30432163 0.10193308 10.49291946 1.29565466 0.10121433 10.61858317 1.28708773 0.10050087 10.74424688 1.27862040 0.09979340 10.86991058 1.27025204 0.09909243 10.99557429 1.26198194 0.09839844 11.12123799 1.25380929 0.09771184 11.24690170 1.24573327 0.09703299 11.37256541 1.23775287 0.09636213 11.49822911 1.22986696 0.09569938 11.62389282 1.22207434 0.09504480 11.74955652 1.21437379 0.09439840 11.87522023 1.20676387 0.09376002 12.00088394 1.19924331 0.09312964 12.12654764 1.19181058 0.09250700 12.25221135 1.18446436 0.09189200 12.37787506 1.17720317 0.09128441 12.50353876 1.17002557 0.09068403 12.62920247 1.16293019 0.09009067 12.75486617 1.15591563 0.08950415 12.88052988 1.14898052 0.08892426 13.00619359 1.14212354 0.08835085 13.13185729 1.13534346 0.08778382 13.25752100 1.12863890 0.08722293 13.38318470 1.12200871 0.08666813 13.50884841 1.11545161 0.08611924 13.63451212 1.10896644 0.08557614 13.76017582 1.10255201 0.08503871 13.88583953 1.09620723 0.08450689 14.01150324 1.08993094 0.08398053 14.13716694 1.08372208 0.08345955 14.26283065 1.07757956 0.08294385 14.38849435 1.07150233 0.08243334 14.51415806 1.06548944 0.08192798 14.63982177 1.05953981 0.08142764 14.76548547 1.05365248 0.08093226 14.89114918 1.04782651 0.08044178 15.01681288 1.04206095 0.07995611 15.14247659 1.03635497 0.07947526 15.26814030 1.03070756 0.07899909 15.39380400 1.02511798 0.07852765 15.51946771 1.01958528 0.07806080 15.64513141 1.01410872 0.07759858 15.77079512 1.00868737 0.07714085 15.89645883 1.00332060 0.07668772 16.02212253 0.99800746 0.07623898 16.14778624 0.99274734 0.07579476 16.27344995 0.98753938 0.07535490 16.39911365 0.98238292 0.07491944 16.52477736 0.97727721 0.07448833 16.65044106 0.97222152 0.07406151 16.77610477 0.96721520 0.07363897 16.90176848 0.96225753 0.07322066 17.02743218 0.95734785 0.07280656 17.15309589 0.95248549 0.07239660 17.27875959 0.94766983 0.07199080 17.40442330 0.94290016 0.07158904 17.53008701 0.93817589 0.07119131 17.65575071 0.93349642 0.07079760 17.78141442 0.92886110 0.07040783 17.90707813 0.92426930 0.07002193 18.03274183 0.91972045 0.06963987 18.15840554 0.91521397 0.06926161 18.28406924 0.91074924 0.06888707 18.40973295 0.90632574 0.06851624 18.53539666 0.90194286 0.06814902 18.66106036 0.89760008 0.06778539 18.78672407 0.89329684 0.06742529 18.91238777 0.88903256 0.06706862 19.03805148 0.88480680 0.06671540 19.16371519 0.88061897 0.06636553 19.28937889 0.87646860 0.06601898 19.41504260 0.87235512 0.06567564 19.54070631 0.86827812 0.06533554 19.66637001 0.86423708 0.06499857 19.79203372 0.86023150 0.06466470 19.91769742 0.85626096 0.06433389 20.04336113 0.85232497 0.06400609 20.16902484 0.84842309 0.06368123 20.29468854 0.84455486 0.06335928 20.42035225 0.84071988 0.06304021 20.54601595 0.83691769 0.06272396 20.67167966 0.83314790 0.06241050 20.79734337 0.82941009 0.06209979 20.92300707 0.82570384 0.06179177 21.04867078 0.82202878 0.06148642 21.17433449 0.81838452 0.06118372 21.29999819 0.81477067 0.06088360 21.42566190 0.81118685 0.06058604 21.55132560 0.80763273 0.06029103 21.67698931 0.80410790 0.05999851 21.80265302 0.80061205 0.05970846 21.92831672 0.79714480 0.05942085 22.05398043 0.79370582 0.05913564 22.17964413 0.79029480 0.05885283 22.30530784 0.78691139 0.05857238 22.43097155 0.78355526 0.05829426 22.55663525 0.78022612 0.05801846 22.68229896 0.77692363 0.05774494 22.80796267 0.77364751 0.05747369 22.93362637 0.77039745 0.05720468 23.05929008 0.76717315 0.05693791 23.18495378 0.76397433 0.05667333 23.31061749 0.76080071 0.05641095 23.43628120 0.75765198 0.05615072 23.56194490 0.75452791 0.05589267 23.68760861 0.75142818 0.05563673 23.81327231 0.74835257 0.05538292 23.93893602 0.74530080 0.05513121 24.06459973 0.74227259 0.05488157 24.19026343 0.73926772 0.05463402 24.31592714 0.73628592 0.05438852 24.44159084 0.73332694 0.05414505 24.56725455 0.73039055 0.05390361 24.69291826 0.72747649 0.05366416 24.81858196 0.72458455 0.05342672 24.94424567 0.72171447 0.05319124 25.06990938 0.71886601 0.05295772 25.19557308 0.71603899 0.05272616 25.44690049 0.71044824 0.05226875 25.57256420 0.70768409 0.05204290 25.82389161 0.70221714 0.05159681 25.94955532 0.69951390 0.05137652 26.20088273 0.69416689 0.05094140 26.32654644 0.69152270 0.05072654 26.57787385 0.68629192 0.05030208 26.82920126 0.68113660 0.04988453 26.95486497 0.67858677 0.04967832 27.20619238 0.67354176 0.04927087 27.45751979 0.66856841 0.04886996 27.58318350 0.66610816 0.04867193 27.83451091 0.66123955 0.04828055 28.08583832 0.65643898 0.04789534 28.21150203 0.65406378 0.04770500 28.46282944 0.64936273 0.04732877 28.71415685 0.64472632 0.04695834 28.96548427 0.64015329 0.04659357 29.09114797 0.63789014 0.04641326 29.34247538 0.63340980 0.04605673 29.59380280 0.62898975 0.04570553 29.84513021 0.62462879 0.04535954 30.09645762 0.62032577 0.04501863 30.34778503 0.61607958 0.04468268 30.47344874 0.61397744 0.04451652 30.72477615 0.60981445 0.04418781 30.97610356 0.60570559 0.04386378 31.22743098 0.60164985 0.04354433 31.47875839 0.59764623 0.04322937 31.73008580 0.59369376 0.04291878 31.98141321 0.58979149 0.04261249 32.23274063 0.58593849 0.04231040 32.48406804 0.58213387 0.04201242 32.73539545 0.57837673 0.04171846 32.98672286 0.57466623 0.04142845 33.23805027 0.57100152 0.04114231 33.48937769 0.56738179 0.04085996 33.74070510 0.56380623 0.04058132 33.99203251 0.56027407 0.04030633 34.24335992 0.55678453 0.04003491 34.49468734 0.55333689 0.03976699 34.74601475 0.54993041 0.03950250 34.99734216 0.54656437 0.03924139 35.37433328 0.54158965 0.03885592 35.62566069 0.53832173 0.03860296 35.87698810 0.53509189 0.03835317 36.12831552 0.53189950 0.03810649 36.37964293 0.52874392 0.03786284 36.75663405 0.52407822 0.03750297 37.00796146 0.52101201 0.03726671 37.25928887 0.51798052 0.03703331 37.51061628 0.51498317 0.03680271 37.88760740 0.51054997 0.03646199 38.13893481 0.50763558 0.03623821 38.39026223 0.50475344 0.03601707 38.76725335 0.50048957 0.03569023 39.01858076 0.49768581 0.03547550 39.39557188 0.49353718 0.03515808 39.64689929 0.49080873 0.03494950 39.89822670 0.48810958 0.03474331 40.27521782 0.48411478 0.03443841 40.52654523 0.48148690 0.03423802 40.90353635 0.47759694 0.03394164 41.15486376 0.47503760 0.03374680 41.53185488 0.47124851 0.03345860 41.78318229 0.46875514 0.03326910 42.16017341 0.46506313 0.03298874 42.53716453 0.46142764 0.03271294 42.78849194 0.45903474 0.03253155 43.16548306 0.45549066 0.03226311 43.41681047 0.45315758 0.03208654 43.79380159 0.44970158 0.03182518 44.17079271 0.44629689 0.03156794 44.54778383 0.44294241 0.03131472 44.79911124 0.44073344 0.03114809 45.17610236 0.43746025 0.03090138 45.55309348 0.43423446 0.03065844 45.93008460 0.43105505 0.03041921 46.18141201 0.42896075 0.03026174 46.55840313 0.42585652 0.03002850 46.93539424 0.42279614 0.02979874 47.31238536 0.41977871 0.02957239 47.68937648 0.41680336 0.02934938 48.06636760 0.41386921 0.02912964 48.44335872 0.41097544 0.02891309 48.82034984 0.40812123 0.02869967 49.19734096 0.40530579 0.02848932 49.57433207 0.40252835 0.02828196 49.95132319 0.39978815 0.02807754 50.32831431 0.39708448 0.02787599 50.70530543 0.39441660 0.02767726 51.08229655 0.39178383 0.02748129 51.45928767 0.38918549 0.02728802 51.83627878 0.38662091 0.02709740 52.33893361 0.38325290 0.02684726 52.71592473 0.38076463 0.02666262 53.09291585 0.37830805 0.02648045 53.46990696 0.37588256 0.02630071 53.97256179 0.37269593 0.02606475 54.34955291 0.37034075 0.02589049 54.72654403 0.36801478 0.02571851 55.22919885 0.36495801 0.02549266 55.60618997 0.36269815 0.02532582 55.98318109 0.36046578 0.02516111 56.48583591 0.35753118 0.02494475 56.86282703 0.35536104 0.02478487 57.36548185 0.35250771 0.02457480 57.74247297 0.35039726 0.02441954 58.24512780 0.34762189 0.02421550 58.62211892 0.34556874 0.02406466 59.12477374 0.34286822 0.02386640 59.62742857 0.34020913 0.02367133 60.00441968 0.33824144 0.02352708 60.50707451 0.33565261 0.02333741 61.00972933 0.33310271 0.02315074 61.38672045 0.33121531 0.02301266 61.88937528 0.32873145 0.02283105 62.39203010 0.32628420 0.02265226 62.89468492 0.32387275 0.02247620 63.39733975 0.32149634 0.02230282 63.89999457 0.31915421 0.02213207 64.40264940 0.31684563 0.02196387 64.77964052 0.31513579 0.02183938 65.28229534 0.31288422 0.02167553 65.78495017 0.31066430 0.02151409 66.41326870 0.30793289 0.02131561 66.91592352 0.30578179 0.02115941 67.41857835 0.30366025 0.02100545 67.92123317 0.30156768 0.02085370 68.42388800 0.29950350 0.02070409 68.92654282 0.29746712 0.02055660 69.42919764 0.29545800 0.02041117 70.05751618 0.29298410 0.02023221 70.56017100 0.29103435 0.02009127 71.06282582 0.28911015 0.01995226 71.69114435 0.28674007 0.01978114 72.19379918 0.28487156 0.01964633 72.82211771 0.28256959 0.01948035 73.32477253 0.28075440 0.01934955 73.95309107 0.27851766 0.01918848 74.45574589 0.27675354 0.01906152 75.08406442 0.27457930 0.01890514 75.58671925 0.27286415 0.01878186 76.21503778 0.27074984 0.01862998 76.84335631 0.26866777 0.01848051 77.34601113 0.26702484 0.01836264 77.97432966 0.26499897 0.01821737 78.60264819 0.26300335 0.01807437 79.23096672 0.26103730 0.01793358 79.85928525 0.25910019 0.01779494 80.36194008 0.25757090 0.01768555 80.99025861 0.25568427 0.01755068 81.61857714 0.25382485 0.01741783 82.24689567 0.25199205 0.01728696 82.87521420 0.25018531 0.01715803 83.62919644 0.24805084 0.01700581 84.25751497 0.24629950 0.01688099 84.88583350 0.24457252 0.01675798 85.51415203 0.24286938 0.01663673 86.14247056 0.24118960 0.01651721 86.89645280 0.23920402 0.01637602 87.52477133 0.23757397 0.01626018 88.15308986 0.23596579 0.01614596 88.90707210 0.23406425 0.01601098 89.53539063 0.23250269 0.01590019 90.28937286 0.23065588 0.01576924 90.91769139 0.22913894 0.01566174 91.67167363 0.22734452 0.01553465 92.42565587 0.22557776 0.01540959 93.05397440 0.22412612 0.01530690 93.80795664 0.22240842 0.01518544 94.56193887 0.22071663 0.01506589 95.19025740 0.21932618 0.01496768 95.94423964 0.21768039 0.01485150 96.69822188 0.21605891 0.01473709 97.45220411 0.21446120 0.01462443 98.20618635 0.21288676 0.01451346 98.96016859 0.21133506 0.01440416 99.71415082 0.20980564 0.01429648 100.46813306 0.20829800 0.01419039 101.34777900 0.20656603 0.01406858 102.10176124 0.20510404 0.01396582 102.85574348 0.20366243 0.01386454 103.60972572 0.20224078 0.01376471 104.48937166 0.20060686 0.01365003 105.24335390 0.19922704 0.01355324 106.12299984 0.19764086 0.01344203 106.87698208 0.19630107 0.01334815 107.75662802 0.19476057 0.01324025 108.51061025 0.19345910 0.01314914 109.39025620 0.19196234 0.01304440 110.26990214 0.19048837 0.01294132 111.14954808 0.18903668 0.01283984 111.90353032 0.18780973 0.01275412 112.78317626 0.18639809 0.01265553 113.66282221 0.18500734 0.01255845 114.54246815 0.18363701 0.01246284 115.42211409 0.18228667 0.01236868 116.30176004 0.18095588 0.01227591 117.18140598 0.17964422 0.01218453 118.18671563 0.17816808 0.01208173 119.06636157 0.17689605 0.01199319 119.94600751 0.17564191 0.01190594 120.95131716 0.17423002 0.01180775 121.83096311 0.17301296 0.01172315 122.83627276 0.17164253 0.01162794 123.71591870 0.17046093 0.01154588 124.72122835 0.16913015 0.01145350 125.60087429 0.16798250 0.01137387 126.60618394 0.16668968 0.01128420 127.61149359 0.16541644 0.01119593 128.61680324 0.16416235 0.01110902 129.62211289 0.16292699 0.01102345 130.62742254 0.16170993 0.01093919 131.63273219 0.16051077 0.01085620 132.63804183 0.15932913 0.01077445 133.64335148 0.15816462 0.01069392 134.64866113 0.15701688 0.01061459 135.65397078 0.15588555 0.01053641 136.78494414 0.15463198 0.01044983 137.79025379 0.15353437 0.01037405 138.92122714 0.15231789 0.01029010 139.92653679 0.15125252 0.01021661 141.05751015 0.15007153 0.01013516 142.06281980 0.14903701 0.01006385 143.19379315 0.14788997 0.00998481 144.32476651 0.14676031 0.00990700 145.45573986 0.14564766 0.00983039 146.58671322 0.14455162 0.00975495 147.71768657 0.14347184 0.00968066 148.84865993 0.14240795 0.00960749 149.97963328 0.14135960 0.00953542 151.11060664 0.14032647 0.00946441 152.24157999 0.13930822 0.00939445 153.49821705 0.13819390 0.00931792 154.62919041 0.13720603 0.00925010 155.88582747 0.13612472 0.00917589 157.01680083 0.13516591 0.00911010 158.27343789 0.13411617 0.00903811 159.53007495 0.13308249 0.00896724 160.66104830 0.13216562 0.00890440 161.91768537 0.13116148 0.00883560 163.17432243 0.13017238 0.00876785 164.43095949 0.12919798 0.00870113 165.68759655 0.12823796 0.00863542 167.06989732 0.12719818 0.00856426 168.32653438 0.12626735 0.00850059 169.58317144 0.12534996 0.00843785 170.96547221 0.12435600 0.00836990 172.22210927 0.12346589 0.00830907 173.60441004 0.12250128 0.00824317 174.86104710 0.12163727 0.00818415 176.24334787 0.12070073 0.00812020 177.62564863 0.11977842 0.00805724 179.00794940 0.11887000 0.00799525 180.39025017 0.11797518 0.00793420 181.77255094 0.11709365 0.00787408 183.15485170 0.11622511 0.00781486 184.66281618 0.11529210 0.00775126 186.04511695 0.11444983 0.00769386 187.42741771 0.11361970 0.00763731 188.93538219 0.11272765 0.00757655 190.31768295 0.11192209 0.00752170 191.82564743 0.11105624 0.00746276 193.33361190 0.11020361 0.00740473 194.84157638 0.10936390 0.00734760 196.34954085 0.10853682 0.00729134 197.85750532 0.10772209 0.00723593 199.36546980 0.10691942 0.00718136 200.87343427 0.10612857 0.00712761 202.50706245 0.10528484 0.00707027 204.01502692 0.10451777 0.00701816 205.64865510 0.10369922 0.00696257 207.15661958 0.10295488 0.00691202 208.79024776 0.10216041 0.00685808 210.42387594 0.10137804 0.00680498 212.05750412 0.10060751 0.00675270 213.69113230 0.09984854 0.00670121 215.32476048 0.09910088 0.00665049 216.95838866 0.09836428 0.00660054 218.59201684 0.09763849 0.00655134 220.35130872 0.09686870 0.00649916 221.98493690 0.09616464 0.00645144 223.74422879 0.09541771 0.00640084 225.50352067 0.09468225 0.00635102 227.26281256 0.09395799 0.00630197 229.02210445 0.09324467 0.00625367 230.78139633 0.09254205 0.00620610 232.54068822 0.09184989 0.00615925 234.29998010 0.09116797 0.00611310 236.18493570 0.09044843 0.00606442 237.94422758 0.08978699 0.00601968 239.82918318 0.08908891 0.00597247 241.71413877 0.08840156 0.00592599 243.47343065 0.08776949 0.00588326 245.35838625 0.08710218 0.00583815 247.24334184 0.08644491 0.00579373 249.25396114 0.08575462 0.00574709 251.13891673 0.08511737 0.00570404