{"id": "sdb-v2-043003.99+181349.5", "write_time": 1773212822.639741, "model_comps": ["phoenix_cool", "modbb_disk_r"], "main_results": [{"comp_no": 0, "Teff": 2591.929102168786, "e_Teff": 6.729569454707871, "lstar_1pc": 9.101795176946412e-05, "e_lstar_1pc_lo": 2.029709571063382e-06, "e_lstar_1pc_hi": 2.088882315056287e-06, "e_lstar_1pc": 2.0592959430598345e-06, "plx_arcsec": 0.00633, "e_plx_arcsec": 0.00027, "lstar": 2.280809800031154, "e_lstar_lo": 0.19055704327034384, "e_lstar_hi": 0.20304433268653543, "e_lstar": 0.19680068797843964, "rstar": 7.500158967384744, "e_rstar_lo": 0.3234462077661133, "e_rstar_hi": 0.3278820685527615, "e_rstar": 0.3256641381594374}, {"comp_no": 1, "Temp": 108.04800638575573, "e_Temp": 0.44581463455067905, "lam0": 402.85855372574235, "e_lam0": 241.53152531532652, "beta": 1.4502865401619878, "e_beta": 1.0536121337529152, "ldisk_1pc": 9.01861316448213e-06, "e_ldisk_1pc_lo": 1.561324328112314e-07, "e_ldisk_1pc_hi": 1.6696018427755135e-07, "e_ldisk_1pc": 1.6154630854439137e-07, "ldisk_lstar": 0.09904911252843357, "e_ldisk_lstar_lo": 0.0023626450937791754, "e_ldisk_lstar_hi": 0.0026187323460249295, "e_ldisk_lstar": 0.0024906887199020525, "rdisk_bb": 10.017151180902216, "e_rdisk_bb_lo": 0.42720231934623065, "e_rdisk_bb_hi": 0.46557370482188354, "e_rdisk_bb": 0.4463880120840571}], "parameters": ["Teff", "norm", "log_Temp", "log_lam0", "beta", "norm", "spec_norm", "spec_norm", "spec_norm", "spec_norm"], "best_params": [2591.929102168786, -2.6491146354368484, 2.0336167580433884, 2.605152589269509, 1.4502865401619878, 1.8673402586204544, 1.2002849619374145, 1.121804868118506, 1.2325314585231846, 1.2513365730612644], "best_params_1sig": [6.729569454707871, 0.009364514946566205, 0.0017919283552825238, 0.2468677704779516, 1.0536121337529152, 0.012317019810317742, 0.01927402826319602, 0.01884843447020601, 0.024442164927329646, 0.027466838742508104], "chisq": 2963.7370814631986, "phot_band": [["BAPASS", "GAPASS", "VAPASS", "RAPASS", "IAPASS", "IRAC3P6", "IRAC4P5", "IRAC5P8", "IRAC8", "AKARI18", "MIPS24", "MIPS24", "PACS70", "PACS160"]], "phot_wavelength": [[0.42938592737997927, 0.4686175322272062, 0.5428138967052636, 0.616597844058223, 0.7480262474748428, 3.5572593844899933, 4.5049275583656385, 5.738569354757529, 7.927374992255119, 19.2119435891839, 23.67475215426909, 23.67475215426909, 71.15170776448943, 163.59583055445427]], "phot_fnujy": [[0.07839874744885746, 0.110160588898094, 0.17808317202221663, 0.25004964880260666, 0.3435787132919194, 0.544, 0.391, 0.406, 0.262, 0.4560167426147675, 1.21, 1.291, 3.277, 2.709]], "phot_e_fnujy": [[0.009389234036559689, 0.010504902810138002, 0.01410747646604256, 0.021822276040765542, 0.022342129581531655, 0.03703423281235889, 0.028782675344727775, 0.022328779635259963, 0.014016333329369704, 0.01741034086398081, 0.1145846412046571, 0.02673244031958175, 0.09908143115639781, 0.10538309921424782]], "phot_upperlim": [[false, false, false, false, false, false, false, false, false, false, false, false, false, false]], "phot_ignore": [[false, false, false, false, false, false, false, false, false, false, true, false, false, false]], "model_comp_fnujy": [[0.0024005511262313313, 0.004143650317238562, 0.008033019563215702, 0.013021509766858185, 0.10067047181264588, 0.7325031168462395, 0.5467341807703042, 0.37220999428527624, 0.2231577999011495, 0.0518302225189152, 0.032133373239757866, 0.03213337323975813, 0.004353929259896883, 0.000927952149817053], [6.716684487640833e-110, 4.566875855285605e-98, 4.110625450921526e-86, 2.557763569953247e-78, 5.397280532250953e-65, 2.1298764851375443e-11, 1.8460694837698238e-08, 3.855995636135628e-06, 0.000818439480223196, 0.590855992055311, 1.2041398059919763, 1.2041398059919688, 2.3613289448702073, 0.9044170824841458]], "model_comp_fnujy_1sig": [[6.218135123143838e-05, 0.00010411291791580582, 0.00020067826882709267, 0.0003229176507976413, 0.0023827444604396023, 0.01591684695958867, 0.011879632080904201, 0.008060956960775106, 0.00481740932699877, 0.0011182021519004146, 0.0006933224065266141, 0.000693322406526517, 9.392926113690201e-05, 2.0005055068491023e-05], [8.154607123062475e-110, 4.720489380087058e-98, 3.7232881173122574e-86, 2.0415978264503886e-78, 3.5473970610443605e-65, 2.575033866023626e-12, 1.6840705918699393e-09, 2.57887984418085e-07, 3.403480571673932e-05, 0.00901724467170345, 0.01838155177006795, 0.01838155177006684, 0.05206933760379462, 0.021938745685371186]], "model_total_fnujy": [0.0024005511262313313, 0.004143650317238562, 0.008033019563215702, 0.013021509766858185, 0.10067047181264588, 0.7325031168673779, 0.546734199592259, 0.3722138058665859, 0.22397837381593733, 0.6428020407591961, 1.236429202576174, 1.2364292025761743, 2.3657570757899666, 0.9053468063648661], "model_total_fnujy_1sig": [6.218135123143838e-05, 0.00010411291791580582, 0.00020067826882709267, 0.0003229176507976413, 0.0023827444604396023, 0.015916846957768627, 0.011879632024716313, 0.008060990315950645, 0.004824474495301101, 0.009517725258434084, 0.018640467605651967, 0.018640467605642308, 0.05202433459767697, 0.021955597208670297], "spectra": [{"wavelength": [5.247489929199219, 5.2777299880981445, 5.30797004699707, 5.338210105895996, 5.368460178375244, 5.39870023727417, 5.4289398193359375, 5.459179878234863, 5.489419937133789, 5.519670009613037, 5.549910068511963, 5.580150127410889, 5.6103901863098145, 5.640629768371582, 5.67087984085083, 5.701119899749756, 5.731359958648682, 5.761600017547607, 5.791840076446533, 5.822090148925781, 5.852330207824707, 5.882569789886475, 5.9128098487854, 5.943049907684326, 5.973299980163574, 6.0035400390625, 6.033780097961426, 6.064020156860352, 6.094260215759277, 6.124509811401367, 6.154749870300293, 6.184989929199219, 6.2152299880981445, 6.24547004699707, 6.275720119476318, 6.305960178375244, 6.33620023727417, 6.3664398193359375, 6.396679878234863, 6.426929950714111, 6.457170009613037, 6.487410068511963, 6.517650127410889, 6.5478901863098145, 6.578139781951904, 6.60837984085083, 6.638619899749756, 6.668859958648682, 6.699100017547607, 6.7293500900268555, 6.759590148925781, 6.789830207824707, 6.820069789886475, 6.8503098487854, 6.880559921264648, 6.910799980163574, 6.9410400390625, 6.971280097961426, 7.001520156860352, 7.0317702293396, 7.062009811401367, 7.092249870300293, 7.122489929199219, 7.1527299880981445, 7.182980060577393, 7.213220119476318, 7.243460178375244, 7.27370023727417, 7.3039398193359375, 7.3341898918151855, 7.364429950714111, 7.394670009613037, 7.424910068511963, 7.455150127410889, 7.485400199890137, 7.515639781951904, 7.576119899749756, 7.636600017547607, 7.697090148925781, 7.757569789886475, 7.818049907684326, 7.8785400390625, 7.939020156860352, 7.999509811401367, 8.059989929199219, 8.12047004699707, 8.180959701538086, 8.241439819335938, 8.301919937133789, 8.362409591674805, 8.422889709472656, 8.483369827270508], "fnujy": [0.4104089833324094, 0.40884686520827035, 0.40281454140937256, 0.38635774183319477, 0.3873492438043198, 0.382308384683811, 0.38692526268912364, 0.37896132433813684, 0.37747341875856993, 0.367525506854198, 0.36860222272700505, 0.3678803099441774, 0.3555385773181553, 0.3581839002511594, 0.3587444473654627, 0.3631129930419784, 0.3580738493873241, 0.3571832615597228, 0.35015331978100156, 0.34145795899951586, 0.3502012036539818, 0.3426299951054517, 0.34606644613923615, 0.3377921949322772, 0.3375252162354974, 0.3319791524208588, 0.33849743786212805, 0.3245984351676425, 0.33020178062472466, 0.32742048837638893, 0.3270503579719275, 0.32604386432094423, 0.33316058629625805, 0.3278529722353853, 0.3193749535191088, 0.31516762434017354, 0.31739359045724125, 0.315574823724185, 0.30588801691067824, 0.308046203480128, 0.3054561670281933, 0.3046520237625609, 0.30305240779240816, 0.30648358190405345, 0.29732312476596917, 0.2958680554404202, 0.287806186364787, 0.29111371641033734, 0.2858699475134382, 0.2794498911387031, 0.27987256700814045, 0.27678959517220864, 0.279139540989995, 0.2777420143560414, 0.2784664816912827, 0.2798477300459872, 0.2765314548538528, 0.2698516545731153, 0.2699080598362637, 0.2676167941385197, 0.26494797678185705, 0.261711191056434, 0.2645704624156744, 0.2668160445118602, 0.2596609110185015, 0.26085791461116653, 0.2633710907342755, 0.2615836685457986, 0.2500137836760624, 0.25827296861769117, 0.2594126532751766, 0.24786930218708011, 0.2444998661998264, 0.24608969282678805, 0.25247737910670476, 0.2420935897043636, 0.2345348369296461, 0.23147565785926058, 0.23478697311751148, 0.23622429110074064, 0.2255157751999765, 0.23578744399163626, 0.22538836456754904, 0.21986076065721355, 0.22324024703681009, 0.2255604705440316, 0.21905648686700527, 0.21017186545049268, 0.2123060168516124, 0.21047214656049, 0.19526159563482018, 0.1860975397477152], "e_fnujy": [0.015016210320765593, 0.024239276135546592, 0.016160800138428553, 0.016832499417676103, 0.022054882095896813, 0.03600676588998202, 0.01467747340759946, 0.014556974750703689, 0.017967721766223632, 0.01608370206841108, 0.01657585896654487, 0.016290401719094, 0.015569242948771694, 0.01217618317868157, 0.018157271419954237, 0.014801990356795554, 0.010832948941304323, 0.011496455472619365, 0.012952194902017695, 0.011633303498042182, 0.013032359134170364, 0.016119301481084515, 0.01355423251587897, 0.013466846312326907, 0.028575339839036082, 0.013470322694557727, 0.017381921642681507, 0.01628138037318425, 0.014739688179772547, 0.014963974851657376, 0.01251380830215672, 0.03903358651952917, 0.017364878862345095, 0.014709995004157709, 0.017235436941205506, 0.01644164940219164, 0.012624987271255016, 0.012220553376694981, 0.01171661547018997, 0.018518629873677677, 0.018881009216048183, 0.021823914197284095, 0.01514276904725582, 0.015823182007341396, 0.017524933458120683, 0.020705581961935116, 0.015280872206323487, 0.0139596535025441, 0.015665572416567575, 0.014472894781274602, 0.019652859303130116, 0.018081317770771717, 0.024414682519162133, 0.041298246180957524, 0.050505170068055286, 0.022076383688977144, 0.01424897404436144, 0.022786036484855974, 0.0192853557057583, 0.017097038936444108, 0.019417072483791806, 0.014460421526492013, 0.01499978170517462, 0.014993109801630725, 0.01710702989348897, 0.0306850272053622, 0.021786248533958552, 0.015930348511129365, 0.018281019206471037, 0.022233407084557504, 0.020594894790792368, 0.022358827217202774, 0.03294369905187203, 0.02217035672201918, 0.01903828550299431, 0.011947614834548658, 0.02667175077802543, 0.018157992801315578, 0.015397283812436997, 0.01665275192651453, 0.013476618174547967, 0.02043544503657823, 0.013422817575927183, 0.014845192826014035, 0.010826062604528622, 0.015433095327546238, 0.011314096324542182, 0.011541637953038034, 0.010479914925487268, 0.009552280260897843, 0.02311687666118133, 0.03124901224376228]}, {"wavelength": [7.576119899749756, 7.636600017547607, 7.697090148925781, 7.757569789886475, 7.818049907684326, 7.8785400390625, 7.939020156860352, 7.999509811401367, 8.059989929199219, 8.12047004699707, 8.180959701538086, 8.241439819335938, 8.301919937133789, 8.362409591674805, 8.422889709472656, 8.483369827270508, 8.54386043548584, 8.604339599609375, 8.664830207824707, 8.725310325622559, 8.78579044342041, 8.846280097961426, 8.906760215759277, 8.967240333557129, 9.027729988098145, 9.088210105895996, 9.148690223693848, 9.209179878234863, 9.269659996032715, 9.33014965057373, 9.390629768371582, 9.451109886169434, 9.51159954071045, 9.5720796585083, 9.632559776306152, 9.693050384521484, 9.75352954864502, 9.814009666442871, 9.874500274658203, 9.934980392456055, 9.99547004699707, 10.055950164794922, 10.116430282592773, 10.176919937133789, 10.23740005493164, 10.297880172729492, 10.358369827270508, 10.41884994506836, 10.479330062866211, 10.539819717407227, 10.600299835205078, 10.66079044342041, 10.721269607543945, 10.781749725341797, 10.842240333557129, 10.90272045135498, 10.963199615478516, 11.023690223693848, 11.0841703414917, 11.14465045928955, 11.205140113830566, 11.265620231628418, 11.326109886169434, 11.386590003967285, 11.447070121765137, 11.507559776306152, 11.568039894104004, 11.628520011901855, 11.689009666442871, 11.749489784240723, 11.809969902038574, 11.87045955657959, 11.930939674377441, 11.991430282592773, 12.051910400390625, 12.11238956451416, 12.172880172729492, 12.233360290527344, 12.293840408325195, 12.354330062866211, 12.414810180664062, 12.475290298461914, 12.53577995300293, 12.596260070800781, 12.656749725341797, 12.717229843139648, 12.7777099609375, 12.838199615478516, 12.898679733276367, 12.959159851074219, 13.01965045928955, 13.080129623413086, 13.140609741210938, 13.20110034942627, 13.261580467224121, 13.322059631347656, 13.382550239562988, 13.44303035736084, 13.503520011901855, 13.564000129699707, 13.624480247497559, 13.684969902038574, 13.745450019836426, 13.805930137634277, 13.866419792175293, 13.926899909973145, 13.987380027770996], "fnujy": [0.2377037486685015, 0.239653113456977, 0.2306456188804318, 0.23245378470816905, 0.2332965705966131, 0.22659377071143147, 0.22469584950893773, 0.2190929799775093, 0.21562387137995337, 0.20991556178171972, 0.20697991637531937, 0.2097418731017377, 0.1997368210912045, 0.19968429390237627, 0.20231522651512304, 0.19724069601901692, 0.19448584699262536, 0.19431601520413072, 0.19122521256303773, 0.19296571749439623, 0.18960700782412931, 0.18300342188092322, 0.18353075077799885, 0.18372590948726067, 0.18182936574601244, 0.1776444548206972, 0.1821468062815744, 0.17997192353798633, 0.1831323338873517, 0.18002252228107088, 0.1760491526707639, 0.17497695520342002, 0.1737468823111924, 0.17451315481898666, 0.17495857068733014, 0.17395992965049573, 0.17357503024620435, 0.17062000855161738, 0.17049491670437641, 0.17160212005350584, 0.16883562688805234, 0.16997115084038916, 0.16964730051849816, 0.17364776019996653, 0.17190053325773003, 0.1675331729989114, 0.1654662832169702, 0.16653831538896463, 0.16884464466767288, 0.16963925614482447, 0.16783307386128074, 0.16500819470516817, 0.16211585668032621, 0.16604478020777852, 0.16755512054808966, 0.16856101621415034, 0.16600240949986705, 0.16490538099780438, 0.16911260679529663, 0.1673013738205194, 0.18519386075351044, 0.1966723555091254, 0.1877067541205932, 0.17795115115854432, 0.16762474662251198, 0.1601919657418174, 0.16020564852352265, 0.15952852530753686, 0.16019793474054786, 0.15212746276778857, 0.14995977037190197, 0.15126783511984956, 0.15079636686781628, 0.1542211303963422, 0.15050490525134438, 0.14613930814292, 0.14748893548818168, 0.14120876826234302, 0.1420165941843764, 0.1497405887385187, 0.15063795882458428, 0.1482054357296387, 0.14655868081064866, 0.14703036027340624, 0.1496565544194685, 0.1501746543261993, 0.15402797359742385, 0.14948123115214182, 0.1500693703716686, 0.14833170301047582, 0.14584643233290273, 0.1484077664204521, 0.15069028398576317, 0.15346295736067145, 0.15006614711235414, 0.15088616815794764, 0.14939201757880854, 0.15423099301885995, 0.15458274152250973, 0.15142594930468253, 0.1566620835541102, 0.16257743476061684, 0.1651010355931146, 0.16520695317981823, 0.1578611911175391, 0.15553036139481097, 0.16028515558661266], "e_fnujy": [0.014250281963788644, 0.013954330971540788, 0.012353144766320465, 0.009552367738350966, 0.011316186201289477, 0.012495574259104716, 0.011115125070590702, 0.013385278773339105, 0.025440786305270354, 0.01999606769097475, 0.020897117894334537, 0.01470794690625769, 0.00849205144819167, 0.009887035722556592, 0.01116218373827432, 0.009191575053740145, 0.00875461048407997, 0.007385754927715544, 0.00934130796083645, 0.008947009105371133, 0.008419285336071806, 0.013706797742072103, 0.01252331747647337, 0.007644460515769569, 0.011988856773799197, 0.007037691132897473, 0.007273969356106086, 0.007177079879982293, 0.008599621988389912, 0.010429787594044277, 0.008329409433456328, 0.009805375228386124, 0.00860368205541101, 0.01461277236938454, 0.008064680322164187, 0.0075942652540415215, 0.010890720563318261, 0.008760507166095062, 0.007422053327303097, 0.007586016556949745, 0.009430949695040195, 0.009200716230930566, 0.01678888334924984, 0.007006837148882741, 0.007828822798577635, 0.011774260938479058, 0.011356202598355496, 0.009583924801543086, 0.007694278123539476, 0.009785941545980923, 0.01231000956741777, 0.007262349322615959, 0.007573710088605612, 0.009119572284727158, 0.008253350041075356, 0.016572532398726064, 0.012109300837220968, 0.007258925183536531, 0.007933337670579618, 0.010488585675192631, 0.009115212619885165, 0.008914608347166146, 0.011975714645632797, 0.01399528863379123, 0.008965634677178976, 0.007696856271837295, 0.00873347563703658, 0.00899727668381457, 0.00774335534588993, 0.008208433325628485, 0.00915161432906613, 0.009682510276825396, 0.00940061283293471, 0.008562776047957275, 0.011223138694156245, 0.009726817465671136, 0.012398583769156254, 0.010115879098692642, 0.01146550644395432, 0.009458651588571483, 0.009424796460868128, 0.008576278611816245, 0.010251059701672472, 0.008208229576152588, 0.01001186355639215, 0.010245655462052644, 0.013267731970070362, 0.014617048238667432, 0.02080715130885373, 0.012167584666171002, 0.010026375110613448, 0.010325603312741212, 0.009496701085767374, 0.01360225532084521, 0.012792576713436634, 0.010492670995669896, 0.012066902580084611, 0.011758323711868673, 0.010070861369421102, 0.012297514846036752, 0.010146588449276597, 0.015068280437120014, 0.010836145548771724, 0.012820609197666843, 0.012458961339199442, 0.01628621674789045, 0.016063802672117752]}, {"wavelength": [14.069350242614746, 14.154029846191406, 14.238710403442383, 14.323380470275879, 14.408060073852539, 14.4927396774292, 14.577409744262695, 14.662090301513672, 14.746769905090332, 14.831450462341309, 14.916119575500488, 15.000800132751465, 15.085479736328125, 15.170149803161621, 15.254830360412598, 15.339509963989258, 15.424180030822754, 15.508859634399414, 15.59354019165039, 15.678210258483887, 15.762889862060547, 15.847570419311523, 15.932239532470703, 16.01692008972168, 16.101600646972656, 16.186279296875, 16.270950317382812, 16.35563087463379, 16.440309524536133, 16.524980545043945, 16.60965919494629, 16.694339752197266, 16.779010772705078, 16.863689422607422, 16.9483699798584, 17.033039093017578, 17.117719650268555, 17.20240020751953, 17.28706932067871, 17.371749877929688, 17.456430435180664, 17.541109085083008, 17.62578010559082, 17.710460662841797, 17.79513931274414, 17.879810333251953, 17.96449089050293, 18.049169540405273, 18.133840560913086, 18.21851921081543, 18.303199768066406, 18.38787078857422, 18.472549438476562, 18.55722999572754, 18.64189910888672, 18.726579666137695, 18.811260223388672, 18.89594078063965, 18.980609893798828, 19.065290451049805, 19.14996910095215, 19.23464012145996, 19.319320678710938, 19.40399932861328, 19.488670349121094, 19.57335090637207, 19.658029556274414, 19.742700576782227, 19.82737922668457, 19.912059783935547, 19.99673080444336, 20.081409454345703, 20.16609001159668, 20.250770568847656, 20.335439682006836, 20.420120239257812, 20.50480079650879, 20.58946990966797, 20.75882911682129, 20.928180694580078, 21.097530364990234, 21.266889572143555, 21.43623924255371], "fnujy": [0.1630417438937904, 0.1746955229360516, 0.17224482842726985, 0.171388207005892, 0.17649373419884562, 0.18438168879368752, 0.1953117234499603, 0.19234045319126053, 0.19340472318901375, 0.19548013911627668, 0.19664753132202054, 0.20786563616962137, 0.21267794458313524, 0.21411552065137748, 0.22471932204275402, 0.23676243798667024, 0.2450833086039698, 0.2557433265596959, 0.2624956497196129, 0.2667835710907105, 0.2754480430996858, 0.2940697340709441, 0.3004922968487844, 0.31126020112812397, 0.3270184580157105, 0.32703988817791574, 0.338389382319536, 0.3513503176753397, 0.36846994149739815, 0.3751468244685225, 0.37597196929439924, 0.3850363261241805, 0.4036346645707893, 0.4082027326567053, 0.41377765060997296, 0.4352496367355011, 0.4377731135580438, 0.4469780870215772, 0.45526982131069915, 0.4663749581113555, 0.4800749498879213, 0.49603958492105044, 0.4992402013774535, 0.5299591520487767, 0.5453205330306876, 0.5463973568910119, 0.5905550920732078, 0.5991887394182934, 0.604144489502543, 0.6211931363599186, 0.6368527342636242, 0.6639487505238233, 0.6683128141639105, 0.6935883030407664, 0.7032889785558081, 0.7022123218574354, 0.7446629657566973, 0.7656221993116461, 0.7654250819382264, 0.7729804009654228, 0.7794606011842019, 0.7945614101158359, 0.8186765275889184, 0.8044980514418673, 0.8185732215027809, 0.8274221734416289, 0.8519971200113894, 0.8574338953277897, 0.8611596677715867, 0.8639089469584571, 0.8747782182452947, 0.8821065313421113, 0.8869442650884755, 0.9170858383787003, 0.9013987590501386, 0.9288248867325128, 0.9166064179012856, 0.9380441358267196, 0.9807683904084894, 0.9945748309158843, 1.021106240968093, 1.0528730964821003, 1.0939753452143406], "e_fnujy": [0.020376038937931832, 0.03453741650685063, 0.01370504842560412, 0.012082250646328615, 0.011781923304893747, 0.014093793991855078, 0.012337886195219966, 0.01410940900766627, 0.014265549762918418, 0.024736934859034797, 0.01301149348808891, 0.013664991198170898, 0.010706607036421158, 0.010469714521361789, 0.015731087846627727, 0.04265410924779657, 0.013751763922525148, 0.011433752123364019, 0.01958921181042866, 0.011949477042396763, 0.013034328855450427, 0.013185902955135151, 0.020057549450447066, 0.03597756895867313, 0.03665879988130082, 0.013839696332919172, 0.01541618502776867, 0.021659171989493662, 0.018279999404880544, 0.019798933195004843, 0.022681273295411516, 0.01864763241663447, 0.020543639689733755, 0.019498779284094842, 0.017824420400824017, 0.018714346751549468, 0.022092319949159292, 0.018108090053774097, 0.018083646797389868, 0.0205577189051139, 0.021393528663507744, 0.049186781603207684, 0.0302033563475653, 0.026847851805785496, 0.03826487519683526, 0.04628924648139341, 0.027474305846372452, 0.06026642620623299, 0.023633494636954452, 0.02670734173777751, 0.03622743846499376, 0.03839411228072691, 0.05202233307333947, 0.05094759455836237, 0.03531423272297265, 0.024170448079088202, 0.02670704711483768, 0.025692992567368764, 0.03230990827785279, 0.03140940684415926, 0.05811483457759005, 0.032855478918595575, 0.032874710901136216, 0.05387337169191277, 0.04715300153905915, 0.029143534947251134, 0.03811624314750008, 0.04357968079519312, 0.030321951483708198, 0.043963116879953884, 0.038158230050713, 0.046067635703004074, 0.09834719340853805, 0.044218912277461525, 0.04120436796852091, 0.05108325066119848, 0.037869838072628, 0.027168623053910677, 0.06982532331195827, 0.025393450887106785, 0.021491594222460095, 0.05715909029791548, 0.026225708454027455]}, {"wavelength": [20.58946990966797, 20.75882911682129, 20.928180694580078, 21.097530364990234, 21.266889572143555, 21.43623924255371, 21.605600357055664, 21.77495002746582, 21.944299697875977, 22.11366081237793, 22.283010482788086, 22.452360153198242, 22.621719360351562, 22.79107093811035, 22.960430145263672, 23.129779815673828, 23.299129486083984, 23.468490600585938, 23.637840270996094, 23.80718994140625, 23.97654914855957, 24.14590072631836, 24.31525993347168, 24.484609603881836, 24.653959274291992, 24.823320388793945, 24.9926700592041, 25.162019729614258, 25.33138084411621, 25.500730514526367, 25.670089721679688, 25.839439392089844, 26.0087890625, 26.178150177001953, 26.34749984741211, 26.516849517822266, 26.68621063232422, 26.855560302734375, 27.024919509887695, 27.19426918029785, 27.36362075805664, 27.53297996520996, 27.702329635620117, 27.871679306030273, 28.041040420532227, 28.210390090942383, 28.379749298095703, 28.549100875854492, 28.71845054626465, 28.88780975341797, 29.057159423828125, 29.22650909423828, 29.395870208740234, 29.56521987915039, 29.73457908630371, 29.9039306640625, 30.073280334472656, 30.242639541625977, 30.411989212036133, 30.581340789794922, 30.750699996948242, 30.9200496673584, 31.08941078186035, 31.258760452270508, 31.428110122680664, 31.597469329833984, 31.766820907592773, 31.93617057800293, 32.10552978515625, 32.274879455566406, 32.44424057006836, 32.613590240478516, 32.78293991088867, 32.952301025390625, 33.12165069580078, 33.29100036621094, 33.46036148071289, 33.62971115112305, 33.799068450927734, 33.96841812133789, 34.13777160644531, 34.30712890625, 34.476478576660156, 34.64582824707031, 34.815189361572266, 34.98453903198242, 35.153900146484375, 35.32324981689453, 35.49259948730469, 35.66196060180664, 35.8313102722168, 36.00065994262695, 36.170021057128906, 36.33937072753906, 36.508731842041016, 36.67808151245117, 36.84743118286133, 37.016788482666016, 37.18613815307617, 37.355491638183594], "fnujy": [0.9686891076583308, 1.040531787477959, 1.0847098898684895, 1.1060818699970476, 1.1142618315409079, 1.160486265740381, 1.1737229984243196, 1.181513983076063, 1.2233435578893412, 1.239894928864372, 1.2610464863693118, 1.2842633344612722, 1.3262130292307512, 1.376679579453412, 1.411256098114455, 1.4334848003844696, 1.4575774724810824, 1.4767939468559914, 1.5178054325095571, 1.5229947004685063, 1.5361751291586807, 1.5530970905882204, 1.5540757927924065, 1.5574078159252833, 1.5745013364107907, 1.5713905228696787, 1.5717575361962484, 1.5811543651224917, 1.5699412137138016, 1.5697944083831736, 1.597164158927516, 1.5881666805644135, 1.6232076535170923, 1.6496897039920237, 1.664748840275906, 1.6611821575502126, 1.682652079441748, 1.7259616551686225, 1.763843726215792, 1.7889691866910324, 1.798400928385963, 1.826513290690499, 1.8253401358115342, 1.8511780170871608, 1.8625378307413614, 1.8580647037958553, 1.8798612890108053, 1.8646675096312888, 1.8776582074555639, 1.862645001494422, 1.8662345778389269, 1.863885835633998, 1.8774431505238547, 1.8744543885880307, 1.8990087963590452, 1.9003111570991769, 1.877218220719033, 1.9010620677961896, 1.9200569033239812, 1.9336279543851245, 1.9591231468041685, 1.9706558072803948, 1.9634219960764732, 1.9587547026264231, 1.9583982775985536, 1.9858879334714206, 2.024126858801812, 2.057807521541743, 2.09866519069392, 2.106367605657887, 2.1703635691724776, 2.2557905354266246, 2.2791428851249247, 2.2959844327183894, 2.322580951287378, 2.4196674945170367, 2.4263624471681857, 2.3777253832587886, 2.472876271017946, 2.4471907753925324, 2.4494223308861707, 2.444861349678476, 2.4750136765042225, 2.3807512042400636, 2.3333953244733974, 2.4007393366540333, 2.429761863391439, 2.377016396501224, 2.439480490747099, 2.474892054154287, 2.3731505227946896, 2.4357628532223683, 2.470952920867556, 2.3773915656794955, 2.3305216029721008, 2.447953132898951, 2.4182835752598892, 2.30945961675076, 2.547780185385448, 2.4678133472178123], "e_fnujy": [0.03447290267887214, 0.040622347790691675, 0.035405714803007096, 0.054277877199531005, 0.08579621528567861, 0.03333016456591579, 0.031376299278498804, 0.05813116835853912, 0.06411944149964464, 0.03562327125286395, 0.034002324791345476, 0.03545277192104828, 0.09759881477902253, 0.03579072108311139, 0.024023398778363632, 0.030704700215014594, 0.03233883510010419, 0.02952800621509467, 0.030014667764118305, 0.044565970372986353, 0.03197918171426952, 0.0523215861722302, 0.08524446118668497, 0.055361317709778965, 0.03146915928409745, 0.03621324025677388, 0.0434585720483651, 0.03463332568842386, 0.033905203532089166, 0.03688362086105377, 0.04505392639518301, 0.034029996111660736, 0.07134877235082249, 0.02885316090800557, 0.024960818690425376, 0.032336532323993285, 0.04282203554580068, 0.05042855218112557, 0.043571358892290475, 0.07340330919697552, 0.028874379983800363, 0.09672899140648829, 0.1006180985589884, 0.03121878939251263, 0.04432101312311465, 0.0427581659264449, 0.033229884255548105, 0.041538012057767734, 0.0408168138797005, 0.04027522329546432, 0.040837436022270426, 0.042676433024442365, 0.09143058527411187, 0.03665599703175282, 0.038192807208434564, 0.040852607516142884, 0.03451355897360697, 0.061365848897368507, 0.040490454612160644, 0.0732714562611338, 0.043817603908220315, 0.06525631535848554, 0.050040044787050715, 0.05603239585400702, 0.04253817255817942, 0.10795198885983129, 0.06593274130898281, 0.05909500312472745, 0.11079602019923218, 0.0642509680225619, 0.06909934016030793, 0.08039350904541274, 0.07071945270387556, 0.07738813135031081, 0.06379168715220847, 0.06869593402836599, 0.08888649611241928, 0.3634864215067235, 0.08578448230603779, 0.11419106338357932, 0.10899514196666316, 0.08848166360071155, 0.09445939315721606, 0.11321854961072832, 0.1053434309098531, 0.1293980602508316, 0.20088862548175704, 0.11909880243088755, 0.13483282650025322, 0.18372293644007476, 0.1477143772082813, 0.1562772255839419, 0.1838867331284142, 0.1948954516753747, 0.2324898322080279, 0.22127331829907484, 0.26015458849352235, 0.18824031245818962, 0.3625401996242262, 0.22296753551931453]}], "model_spectra": [{"wavelength": [10000.0, 9930.571938703291, 9832.249444260693, 9734.900439862062, 9638.51528699213, 9543.084442566473, 9448.598457986614, 9355.047978204559, 9262.423740796581, 9170.716575046128, 9079.917401035778, 8990.017228748286, 8901.00715717651, 8812.878373442096, 8725.622151922875, 8639.229853388975, 8553.69292414749, 8469.002895195543, 8385.151381381733, 8302.130080575964, 8219.93077284748, 8138.545319650977, 8057.965663020776, 7978.183824773037, 7899.191905715868, 7820.982084867203, 7743.546618680406, 7666.877840277621, 7590.968158690705, 7515.810058109616, 7441.39609713824, 7367.7189080576545, 7294.771196096679, 7222.54573870959, 7151.035384860987, 7080.2330543178, 7010.131736948309, 6940.724492028035, 6872.004447552516, 6803.9647995569385, 6736.598811442505, 6669.899813309417, 6603.861201296459, 6538.476436927179, 6473.739046462546, 6409.642620259952, 6346.180812138572, 6283.347338751054, 6221.135978961433, 6159.5405732291465, 6098.55502299916, 6038.1732900981715, 5978.389396136797, 5919.197421917625, 5860.5915068491395, 5802.565848365478, 5745.114701351951, 5688.232377576195, 5631.913245124951, 5576.151727846479, 5520.942304798487, 5466.279509701478, 5412.157930397508, 5358.572208314357, 5305.517037935001, 5252.9871662722835, 5200.9773923488, 5149.482566681974, 5098.4975907742255, 5048.017416608149, 4998.037046146686, 4948.551530838297, 4899.555971127022, 4851.045515967353, 4803.015362343917, 4755.460754795952, 4708.3769849464825, 4661.759391036125, 4615.603357461514, 4569.904314318325, 4524.657736948831, 4479.859145493897, 4435.504104449406, 4391.58822222713, 4348.107150719926, 4305.056584871218, 4262.432262248734, 4220.229962622504, 4178.445507547029, 4137.074759947557, 4096.113623710456, 4055.5580432776746, 4015.4040032452176, 3975.6475279655656, 3936.284681154029, 3897.311565499034, 3858.724322276267, 3820.5191309666043, 3782.692208877829, 3745.2398107701233, 3708.1582284852666, 3671.443790579475, 3635.0928619598794, 3599.1018435246287, 3563.4671718065592, 3528.185318620359, 3493.2527907132294, 3458.6661294190353, 3424.4219103158725, 3390.5167428870054, 3356.947270185157, 3323.710168500151, 3290.802147029849, 3258.219947554309, 3225.96034411318, 3194.020142686313, 3162.396180877534, 3131.0853276015214, 3100.0844827737865, 3069.3905770037454, 3039.0005712908337, 3008.9114567236, 2979.120254181785, 2949.624014041368, 2920.4198158825393, 2891.504768200536, 2862.8760081193454, 2834.5307011082596, 2806.466040701244, 2778.679248219056, 2751.167572494117, 2723.9282895981323, 2696.9587025724054, 2670.2561411607994, 2643.8179615453487, 2617.6415460845005, 2591.724303053958, 2566.0636663900596, 2540.657095435705, 2515.5020746888135, 2490.596113553278, 2465.9367460923568, 2441.5215307845137, 2417.3480502816938, 2393.413911169991, 2369.7167437326666, 2346.2542017155133, 2323.023962094565, 2300.0237248461012, 2277.2512127189143, 2254.704171008828, 2232.3803673354705, 2210.2775914212557, 2188.3936548725324, 2166.726390962905, 2145.2736544187155, 2124.0333212066466, 2103.0032883234144, 2082.1814735875405, 2061.5658154332064, 2041.1542727061424, 2020.944824461529, 2000.9354697638917, 1981.1242274889994, 1961.50913612772, 1942.0882535918036, 1922.8596570215893, 1903.821442595631, 1884.9717253422066, 1866.3086389526816, 1847.830335596716, 1829.5349857393205, 1811.4207779597214, 1793.4859187720028, 1775.7286324475292, 1758.1471608391357, 1740.739763207063, 1723.5047160465986, 1706.440312917426, 1689.5448642746771, 1672.8166973016585, 1656.2541557442178, 1639.8555997467517, 1623.6194056898514, 1607.543966029554, 1591.6276891381735, 1575.868999146708, 1560.266335788818, 1544.8181542463526, 1529.52292499639, 1514.3791336597935, 1499.385280851279, 1484.5398820309674, 1469.841467357395, 1455.2885815419763, 1440.8797837049256, 1426.613647232598, 1412.4887596362366, 1398.5037224121168, 1384.6571509030844, 1370.947674161468, 1357.3739348133358, 1343.934588924096, 1330.62830586544, 1317.4537681836025, 1304.4096714689147, 1291.4947242266494, 1278.7076477491562, 1266.047175989262, 1253.5120554349141, 1241.1010449850646, 1228.8129158267952, 1216.646451313657, 1204.600446845206, 1192.6737097477298, 1180.8650591561668, 1169.1733258971935, 1157.5973523734601, 1146.1359924489714, 1134.7881113356138, 1123.5525854808045, 1112.428302456243, 1101.4141608477664, 1090.509070146302, 1079.7119506399017, 1069.0217333068344, 1058.437359709738, 1047.9577818908285, 1037.5819622681458, 1027.3088735328186, 1017.1374985473459, 1007.0668302448959, 997.0958715295986, 987.2236351778213, 977.449143740418, 967.7714294459573, 958.1895341049071, 948.7025090147604, 939.3094148661002, 930.0093216496031, 920.8013085639624, 911.684463924716, 902.657885073977, 893.7206782910654, 884.8719587040241, 876.1108502020048, 867.4364853485204, 858.8480052955638, 850.344559698577, 841.9253066322551, 833.5894125071841, 825.33605198731, 817.1644079082267, 809.0736711962649, 801.0630407883817, 793.1317235528523, 785.278934210744, 777.503895258163, 769.805836889271, 762.1839969200694, 754.6376207129391, 747.1659611019205, 739.7682783187339, 732.4438399195377, 725.1919207124126, 718.0118026855578, 710.9027749361965, 703.8641336001937, 696.8951817823691, 689.9952294874948, 683.1635935519756, 676.3995975762127, 669.7025718576356, 663.0718533243922, 656.5067854696958, 650.0067182868269, 643.5710082047783, 637.1990180245335, 630.8901168559744, 624.6436800554194, 618.459089163781, 612.3357318453282, 606.2730018270581, 600.2702988386708, 594.3270285531387, 588.4426025278606, 582.6164381463971, 576.8479585607886, 571.1365926344434, 565.481774885588, 559.8829454312759, 554.3395499319556, 548.851039536589, 543.4168708283065, 538.0365057706009, 532.7094116540597, 527.4350610436229, 522.2129317263598, 517.0425066597626, 511.9232739205564, 506.8547266540157, 501.83636302377835, 496.8676861621567, 491.9482041209472, 487.0774298227199, 482.2548810125939, 477.48008021048895, 472.7525546638504, 468.0718363008419, 463.4374616840018, 458.84897196435816, 454.30591283599813, 449.8078344910872, 445.3542915753338, 440.9448431438948, 436.57905261771754, 432.2564877403143, 427.9767205349646, 423.73932726234113, 419.54388837855555, 415.3899884936193, 411.27721633031604, 407.2051646834812, 403.1734303796843, 399.1816142373111, 395.22932102704067, 391.31615943271345, 387.44174201258755, 383.6056851609777, 379.8076090702749, 376.0471376933414, 372.3238987062786, 368.63752347156293, 364.9876470015474, 361.3739079223241, 357.7959484379446, 354.2534142949946, 350.74595474751936, 347.27322252229635, 343.8348737844518, 340.43056810341756, 337.0599684192253, 333.72274100913387, 330.418555454588, 327.1470846085029, 323.9080045628741, 320.70099461670696, 317.5257372442643, 314.38191806362795, 311.2692258055722, 308.1873522827447, 305.13599235915314, 302.11484391995356, 299.12360784153816, 296.1619879619189, 293.2296910514048, 290.3264267835691, 287.451907706504, 284.6058492143604, 281.78796951916866, 278.9979896229392, 276.2356332900388, 273.50062701984035, 270.79270001964386, 268.11158417786515, 265.45701403749024, 262.8287267697923, 260.22646214830917, 257.64996252307833, 255.09897279512703, 252.57324039121482, 250.07251523882653, 247.5965497414124, 245.1450987538736, 242.71791955829067, 240.3147718398917, 237.9354176632591, 235.57962144877135, 233.24714994927854, 230.93777222700842, 228.65125963070136, 226.3873857729716, 224.14592650789265, 221.9266599088046, 219.72936624634113, 217.55382796667436, 215.3998296699746, 213.26715808908372, 211.1556020683997, 209.06495254296996, 206.99500251779202, 204.9455470473188, 202.9163832151671, 200.9073101140268, 198.9181288257691, 196.94864240175156, 194.99865584331835, 193.06797608249337, 191.1564119628647, 189.2637742206581, 187.38987546599807, 185.53453016435452, 183.69755461817275, 181.87876694868586, 180.07798707790678, 178.29503671079877, 176.52973931762253, 174.7819201164579, 173.0514060558989, 171.33802579791967, 169.64160970091055, 167.9619898028817, 166.29899980483336, 164.65247505429042, 163.0222525290004, 161.40817082079246, 159.81007011959647, 158.22779219762023, 156.6611803936834, 155.1100795977063, 153.57433623535275, 152.0537982528245, 150.5483151018064, 149.05773772456078, 147.58191853916907, 146.12071142491985, 144.67397170784142, 143.2415561463776, 141.82332291720553, 140.41913160119358, 139.02884316949857, 137.65231996980054, 136.2894257126738, 134.94002545809283, 133.6039856020721, 132.28117386343771, 130.97145927073038, 129.674712149238, 128.3908041081564, 127.11960802787762, 125.86099804740356, 124.6148495518847, 123.38103916028186, 122.15944471315034, 120.94994526054488, 119.75242105004442, 118.56675351489544, 117.3928252622727, 116.23052006165612, 115.07972283332288, 113.94031963695333, 112.81219766034981, 111.69524520826712, 110.58935169135357, 109.49440761520154, 108.41030456950647, 107.33693521733312, 106.27419328448822, 105.22197354899822, 104.1801718306913, 103.14868498088245, 102.12741087216084, 101.11624838827804, 100.11509741413666, 99.12385882587786, 98.14243448106718, 97.1707272089774, 96.2086408009677, 95.25608000095811, 94.31295049599811, 93.37915890692881, 92.45461277913742, 91.53922057340338, 90.63289165683501, 89.73553629389605, 88.84706563752083, 87.96739172031764, 87.09642744585904, 86.23408658005843, 85.3802837426321, 84.53493439864563, 83.69795485014419, 82.86926222786552, 82.04877448303515, 81.23641037924271, 80.43208948439872, 79.63573216277099, 78.84725956709998, 78.06659363079206, 77.29365706019014, 76.52837332692091, 75.77066666031773, 75.02046203991853, 74.27768518803815, 73.542262562414, 72.81412134892473, 72.09318945438092, 71.37939549938703, 70.67266881127428, 69.97293941710323, 69.28013803673588, 68.5941960759761, 67.91504561977831, 67.24261942552307, 66.57685091635946, 65.91767417461332, 65.2650239352607, 64.61883557946604, 63.97904512818418, 63.34558923582592, 62.71840518398605, 62.097430875233705, 61.48260482696405, 60.873866165310936, 60.27115461911973, 59.67441051397992, 59.083574766316744, 58.49858887754132, 57.919394928258725, 57.345935572533385, 56.77815403221127, 56.21599409129828, 55.65940009039432, 55.10831692118249, 54.56269002097276, 54.02246536729975, 53.487589472574, 52.95800937878614, 52.433672652263496, 51.9145273784787, 51.400522156909595, 50.89160609595009, 50.38772880787137, 49.88884040383303, 49.394891488943586, 48.905833157369884, 48.42161698749492, 47.94219503712368, 47.46751983873631, 46.99754439478842, 46.53222217305784, 46.07150710203746, 45.61535356637371, 45.163716402350204, 44.716550893416034, 44.27381276575844, 43.83545818391925, 43.401443746454696, 42.971726481638306, 42.54626384320623, 42.125013706144784, 41.70793436251958, 41.294984517346116, 40.886123284501096, 40.48131018267435, 40.08050513136074, 39.683668446891815, 39.29076083850674, 38.90174340446211, 38.5165776281803, 38.13522537443594, 37.75764888558013, 37.383810777802104, 37.013674037427826, 36.64720201725527, 36.284358432926, 35.92510735933267, 35.56941322706204, 35.21724081887331, 34.86855526621119, 34.523322045753645, 34.181506975993706, 33.84307621385515, 33.50799625134173, 33.17623391221953, 32.8477563487322, 32.52253103834871, 32.20052578054327, 31.881708693607195, 31.56604821149227, 31.25351308068541, 30.944072357114262, 30.637695403083423, 30.33435188424101, 30.034011766575254, 29.73664531344084, 29.44222308261469, 29.150715923380876, 28.862094973644428, 28.576331657073688, 28.293397680270974, 28.013265029971258, 27.73590597026857, 27.461293039869865, 27.1893990493761, 26.920197078590196, 26.653660473851673, 26.389762845397694, 26.128478064750187, 25.869780262128895, 25.61364382388999, 25.360043389990086, 25.10895385147533, 24.86035034799537, 24.61420826534195, 24.370503233011828, 24.129211121793887, 23.89030804138008, 23.65377033800008, 23.419574592079282, 23.18769761592008, 22.958116451406013, 22.730808367728724, 22.505750859137347, 22.282921642710242, 22.06229865614875, 21.84386005559282, 21.627584213458235, 21.41344971629528, 21.20143536266859, 20.991520161058006, 20.783683327780203, 20.57790428493089, 20.374162658347412, 20.172438275591496, 19.972711163951974, 19.774961548467296, 19.579169849967617, 19.385316683136253, 19.193382854590347, 19.00334936098054, 18.815197387109443, 18.62890830406875, 18.4444636673948, 18.261845215242374, 18.081034866576605, 17.902014719382777, 17.724767048893835, 17.54927430583548, 17.37551911468859, 17.203484271968897, 17.033152744523658, 16.864507667845203, 16.69753234440119, 16.532210241981375, 16.368524992060763, 16.20646038817897, 16.046000384335613, 15.887129093401596, 15.729830785546133, 15.574089886679337, 15.419890976910231, 15.26721878902003, 15.116058206950523, 14.966394264307446, 14.818212142878657, 14.671497171166985, 14.526234822937607, 14.382410715779807, 14.240010609682976, 14.099020405626707, 13.959426144184855, 13.82121400414342, 13.684370301132097, 13.548881486269401, 13.414734144821187, 13.28191499487246, 13.150410886012335, 13.020208798032014, 12.891295839635655, 12.763659247164012, 12.637286383330704, 12.512164735970993, 12.388281916802962, 12.26562566020095, 12.144183821981137, 12.023944378199143, 11.904895423959546, 11.787025172237174, 11.67032195271007, 11.554774210604029, 11.440370505548541, 11.3270995104441, 11.214950010340692, 11.103910901327415, 10.993971189433083, 10.885119989537705, 10.777346524294755, 10.670640123064112, 10.564990220855556, 10.460386357282728, 10.35681817552745, 10.254275421314306, 10.15274794189535, 10.0522256850449, 9.952698698064257, 9.854157126796293, 9.756591214649793, 9.659991301633458, 9.564347823399462, 9.469651310296495, 9.375892386432172, 9.283061768744723, 9.191150266083884, 9.100148778300873, 9.010048295347397, 8.920839896383562, 8.832514748894614, 8.745064107816448, 8.65847931466975, 8.572751796702722, 8.487873066042297, 8.403834718853759, 8.32062843450867, 8.238245974761059, 8.15667918293174, 8.075919983100732, 7.995960379307654, 7.916792454760053, 7.838408371049556, 7.760800367375797, 7.6839607597780155, 7.607881940374272, 7.532556376608189, 7.457976610503156, 7.384135257923916, 7.31102500784546, 7.238638621629168, 7.166968932306106, 7.0960088438674305, 7.025751330561811, 6.9561894361998124, 6.887316273465159, 6.81912502323283, 6.75160893389389, 6.684761320687019, 6.618575565036652, 6.553045113897674, 6.488163479106607, 6.423924236739214, 6.360321026474469, 6.29734755096482, 6.234997575212692, 6.173264925953159, 6.1121434910427315, 6.051627218854188, 5.991710117677413, 5.932386255126151, 5.873649757550644, 5.815494809456082, 5.757915652926813, 5.70090658705625, 5.644461967382425, 5.588576205329133, 5.533243767652606, 5.4784591758936685, 5.424217005835314, 5.370511886965657, 5.317338501946194, 5.26469158608534, 5.212565926817168, 5.160956363185314, 5.109857785331993, 5.059265133992072, 5.00917339999215, 4.959577623754603, 4.910472894806537, 4.8618543512936006, 4.813717179498614, 4.766056613364963, 4.718867934024716, 4.672146469331401, 4.625887593397426, 4.580086726136065, 4.534739332807984, 4.4898409235722605, 4.445387053041841, 4.401373319843407, 4.35779536618159, 4.314648877407515, 4.271929581591598, 4.2296332491005915, 4.187755692178803, 4.1462927645334675, 4.105240360924225, 4.064594416756658, 4.0243509076798585, 3.9845058491879786, 3.945055296225721, 3.9059953427977425, 3.867322121581923, 3.829031803546458, 3.7911205975707496, 3.7535847500700488, 3.71642054462381, 3.679624301607732, 3.6431923778294375, 3.6071211661677594, 3.5714070952156027, 3.536046628926339, 3.5010362662637013, 3.4663725408551493, 3.4320520206486624, 3.3980713075729323, 3.364427037200923, 3.331115878416755, 3.2981345330858955, 3.2654797357286087, 3.233148253196642, 3.2011368843531103, 3.169442459755554, 3.1380618413421324, 3.106991922120923, 3.0762296258622994, 3.0457719067943554, 3.015615749301342, 2.9857581676250904, 2.956196205569396, 2.9269269362073222, 2.897947461591408, 2.86925491246674, 2.840846447986871, 2.8127192554325453, 2.7848705499332125, 2.7572975741912993, 2.7299975982092066, 2.702967919019016, 2.6762058604148673, 2.649708772687987, 2.623474032364343, 2.597499041944894, 2.5717812296484093, 2.5463180491568407, 2.5211069793632084, 2.496145524121988, 2.471431212001968, 2.446961596041552, 2.422734253506487, 2.3987467856499864, 2.374996817475234, 2.3514819975002315, 2.3281999975249814, 2.305148512400971, 2.2823252598029415, 2.259727980002912, 2.237354435646447, 2.2152024115311355, 2.1932697143872626, 2.1715541726606555, 2.1500536362976788, 2.128765976532355, 2.1076890856755983, 2.086820876906533, 2.066159284065874, 2.04570226145136, 2.0254477836152076, 2.0053938451635718, 1.9855384605579915, 1.9658796639188032, 1.946415508830498, 1.9271440681490075, 1.9080634338108984, 1.8891717166444535, 1.870467046182627, 1.8519475704778483, 1.8336114559186614, 1.8154568870481793, 1.7974820663843356, 1.7796852142419162, 1.7620645685563525, 1.7446183847092596, 1.7273449353557024, 1.7102425102531704, 1.6933094160922477, 1.676543976328958, 1.65994453101877, 1.6435094366522474, 1.6272370659923239, 1.6111258079131916, 1.5951740672407837, 1.579380264594835, 1.5637428362325096, 1.5482602338935738, 1.5329309246471026, 1.5177533907397052, 1.5027261294452525, 1.4878476529160913, 1.473116488035734, 1.4585311762730035, 1.444090273537627, 1.4297923500372545, 1.4156359901358953, 1.4016197922137574, 1.3877423685284727, 1.3740023450776955, 1.3603983614630646, 1.3469290707555093, 1.3335931393618903, 1.3203892468929603, 1.3073160860326338, 1.2943723624085481, 1.281556794463909, 1.2688681133306028, 1.256305062703567, 1.2438663987164027, 1.2315508898182204, 1.219357316651703, 1.2072844719323792, 1.1953311603290881, 1.1834961983456316, 1.1717784142035954, 1.160176647726332, 1.148689750224091, 1.137316584380288, 1.1260560241388988, 1.1149069545929688, 1.1038682718742265, 1.0929388830437885, 1.0821177059839489, 1.0714036692910383, 1.0607957121693448, 1.0502927843260836, 1.0398938458674094, 1.0295978671954549, 1.0194038289063907, 1.0093107216894956, 0.9993175462272232, 0.9894233130962605, 0.9796270426695647, 0.9699277650193708, 0.9603245198211592, 0.9508163562585733, 0.9414023329292803, 0.9320815177517626, 0.9228529878730322, 0.9137158295772594, 0.9046691381953063, 0.8957120180151545, 0.8868435821932222, 0.8780629526665565, 0.8693692600658974, 0.8607616436296013, 0.852239251118417, 0.8438012387311058, 0.8354467710208967, 0.827175020812769, 0.8189851691215533, 0.8108764050708447, 0.8028479258127175, 0.794898936448235, 0.7870286499487474, 0.7792362870779677, 0.7715210763148194, 0.7638822537770488, 0.7563190631455927, 0.7488307555896956, 0.7414165896927678, 0.7340758313789779, 0.7268077538405722, 0.719611637465913, 0.7124867697682306, 0.7054324453150796, 0.6984479656584945, 0.6915326392658361, 0.6846857814513228, 0.6779067143082402, 0.671194766641822, 0.664549273902794, 0.6579695781215781, 0.6514550278431465, 0.6450049780625212, 0.638618790160912, 0.632295831842487, 0.6260354770717692, 0.6198371060116526, 0.6137001049620322, 0.6076238662990417, 0.6016077884148927, 0.5956512756583096, 0.5897537382755539, 0.5839145923520335, 0.5781332597544886, 0.572409168073751, 0.5667417505680702, 0.5611304461070001, 0.5555746991158416, 0.5500739595206352, 0.5446276826936981, 0.539235329399701, 0.5338963657422782, 0.5286102631111664, 0.5233764981298676, 0.5181945526038293, 0.5130639134691378, 0.5079840727417206, 0.50295452746705, 0.4979747796703465, 0.4930443363072737, 0.4881627092151224, 0.4833294150644775, 0.47854397531136383, 0.4738059161498651, 0.46911476846521294, 0.46447006778733946, 0.4598713542448905, 0.4553181725196935, 0.45081007180167665, 0.44634660574423424, 0.44192733242003385, 0.4375518142772612, 0.43321961809629816, 0.42893031494682976, 0.42468348014537594, 0.4204786932132435, 0.41631553783489444, 0.41219360181672715, 0.4081124770462644, 0.4040717594517469, 0.4000710489621256, 0.39610994946745104, 0.39218806877965445, 0.3883050185937172, 0.3844604144492249, 0.38065387569230186, 0.37688502543792257, 0.37315349053259655, 0.3694589015174223, 0.3658008925915071, 0.3621791015757496, 0.35859316987697976, 0.35504274245245515, 0.351527467774708, 0.34804699779674053, 0.3446009879175649, 0.34118909694808397, 0.33781098707731083, 0.33446632383892155, 0.3311547760781401, 0.32787601591895055, 0.32462971873163415, 0.32141556310062785, 0.31823323079270077, 0.3150824067254463, 0.31196277893608537, 0.30887403855057954, 0.305815879753049, 0.30278799975549403, 0.2997900987678158, 0.29682187996813447, 0.2938830494734004, 0.2909733163102974, 0.288092392386433, 0.2852399924618148, 0.2824158341206087, 0.2796196377431769, 0.27685112647839294, 0.2741100262162306, 0.2713960655606243, 0.2687089758025983, 0.2660484908936616, 0.2634143474194669, 0.26080628457372956, 0.2582240441324055, 0.2556673704281242, 0.2531360103248754, 0.2506297131929459, 0.24814823088410484, 0.24569131770703448, 0.2432587304030044, 0.2408502281217865, 0.23846557239780838, 0.23610452712654292, 0.23376685854113158, 0.23145233518923913, 0.22916072791013772, 0.22689180981201754, 0.22464535624952228, 0.22242114480150718, 0.22021895524901697, 0.2180385695534821, 0.21587977183513077, 0.2137423483516146, 0.2116260874768461, 0.20953077968004563, 0.20745621750499563, 0.2054021955495006, 0.20336851044505008, 0.20135496083668322, 0.19936134736305267, 0.19738747263668577, 0.19543314122444133, 0.19349815962815972, 0.19158233626550464, 0.18968548145099468, 0.1878074073772224, 0.1859479280962598, 0.18410685950124728, 0.1822840193081656, 0.1804792270377877, 0.17869230399780958, 0.176923073265158, 0.17517135966847322, 0.17343698977076555, 0.1717197918522431, 0.17001959589330998, 0.1683362335577326, 0.16666953817597285, 0.16501934472868598, 0.16338548983038215, 0.1617678117132496, 0.16016615021113823, 0.15858034674370117, 0.1570102443006942, 0.1554556874264299, 0.153916522204386, 0.15239259624196633, 0.15088375865541218, 0.14938986005486352, 0.14791075252956784, 0.14644628963323544, 0.14499632636954005, 0.1435607191777624, 0.14213932591857661, 0.1407320058599768, 0.13933861966334335, 0.13795902936964688, 0.13659309838578895, 0.13524069147107817, 0.13390167472383974, 0.13257591556815815, 0.13126328274075064, 0.12996364627797088, 0.12867687750294146, 0.12740284901281332, 0.12614143466615177, 0.12489250957044729, 0.12365595006974978, 0.1224316337324255, 0.12121943933903513, 0.1200192468703318, 0.118830937495378, 0.11765439355978018, 0.11648949857403977, 0.11533613720201956, 0.1141941952495243, 0.11306355965299433, 0.1119441184683112, 0.11083576085971406, 0.10973837708882578, 0.10865185850378789, 0.10757609752850285, 0.106510987651983, 0.10545642341780494, 0.10441230041366824, 0.10337851526105765, 0.10235496560500755, 0.10134155010396786, 0.10033816841977015, 0.0993447212076932, 0.09836111010662692, 0.09738723772933357, 0.0964230076528055, 0.0954683244087183, 0.09452309347397851, 0.09358722126136484, 0.0926606151102622, 0.09174318327748732, 0.09083483492820525, 0.08993548012693589, 0.08904502982864938, 0.08816339586994987, 0.0872904909603464, 0.08642622867361027, 0.08557052343921809, 0.08472329053387928, 0.0838844460731478, 0.08305390700311661, 0.08223159109219466, 0.08141741692296499, 0.08061130388412374, 0.07981317216249875, 0.07902294273514726, 0.07824053736153193, 0.07746587857577418, 0.07669888967898432, 0.07593949473166764, 0.07518761854620558, 0.07444318667941145, 0.07370612542515984, 0.07297636180708894, 0.07225382357137518, 0.07153843917957937, 0.07083013780156372, 0.07012884930847893, 0.0694345042658207, 0.06874703392655515, 0.06806637022431201, 0.06739244576664555, 0.06672519382836192, 0.0660645483449128, 0.06541044390585424, 0.06476281574837052, 0.06412159975086189, 0.06348673242659593, 0.0628581509174217, 0.06223579298754623, 0.0616195970173725, 0.061009501997398505, 0.060405447522176726, 0.05980737378433339, 0.059215221568646906, 0.058628932246185046, 0.05804844776850004, 0.05747371066188122, 0.05690466402166457, 0.05634125150659857, 0.0557834173332659, 0.05523110627056029, 0.054684263634218105, 0.05414283528140406, 0.05360676760535055, 0.05307600753005004, 0.05255050250500003, 0.05203020050000002, 0.051515050000000014, 0.05100500000000001, 0.0505, 0.049999999999999996], "fnujy": [2.0838687451737327e-07, 2.1048267712535496e-07, 2.15363502416855e-07, 2.196928846090897e-07, 2.2410868063440194e-07, 2.286132305004968e-07, 2.3320832425957533e-07, 2.3789577869601207e-07, 2.426774471471708e-07, 2.4755522964640264e-07, 2.5253105151560854e-07, 2.5760689011928885e-07, 2.6278475229310554e-07, 2.680666852660804e-07, 2.7345478788116414e-07, 2.789511868570716e-07, 2.8455806647334427e-07, 2.9027764349679436e-07, 2.9611217933140904e-07, 3.020639924345012e-07, 3.08135431986118e-07, 3.1432891083531626e-07, 3.2064687763928626e-07, 3.2709183038202993e-07, 3.3366633011737555e-07, 3.4037297629881847e-07, 3.4721442063192347e-07, 3.5419338155430414e-07, 3.6131261383402787e-07, 3.6857494650891547e-07, 3.7598325096093563e-07, 3.835404563140147e-07, 3.912495654421638e-07, 3.991136212807957e-07, 4.0713574889627474e-07, 4.1531912004382244e-07, 4.236669702872584e-07, 4.3218261670157876e-07, 4.4086942053033746e-07, 4.497308338482152e-07, 4.5877036020373557e-07, 4.679915736579634e-07, 4.773981383665303e-07, 4.869937671741307e-07, 4.967822733859881e-07, 5.06767527050412e-07, 5.169534761364912e-07, 5.273441682012339e-07, 5.379437044652693e-07, 5.487562972684688e-07, 5.597862214956222e-07, 5.710378381387363e-07, 5.825156182782063e-07, 5.942241000574676e-07, 6.061679128335752e-07, 6.183518024526806e-07, 6.30780578210139e-07, 6.434591790308833e-07, 6.563926177935034e-07, 6.695860081735876e-07, 6.830445925849417e-07, 6.967736834089061e-07, 7.107787363748369e-07, 7.250652887556564e-07, 7.396389892114991e-07, 7.545056286865904e-07, 7.696710752685585e-07, 7.851413555752753e-07, 8.009225861274645e-07, 8.170210065358504e-07, 8.334430136760084e-07, 8.501950894653154e-07, 8.672838911549126e-07, 8.847161751043286e-07, 9.024988336952704e-07, 9.206389331430468e-07, 9.391436333968842e-07, 9.580202883391102e-07, 9.772763610966724e-07, 9.969194651094012e-07, 1.0169574059769368e-06, 1.0373981064205052e-06, 1.058249648387976e-06, 1.079520317174074e-06, 1.101218508883341e-06, 1.1233528458751632e-06, 1.1459320796674932e-06, 1.1689651377342757e-06, 1.1924611722756573e-06, 1.2164294576896063e-06, 1.2408795185688227e-06, 1.2658210219236434e-06, 1.2912638292071855e-06, 1.317218050241039e-06, 1.3436939295820258e-06, 1.3707019884755606e-06, 1.398252905188173e-06, 1.4263575728579847e-06, 1.455027159138172e-06, 1.4842729802173115e-06, 1.514106658295163e-06, 1.5445399886748398e-06, 1.5755850041061523e-06, 1.6072540407714937e-06, 1.6395595985763129e-06, 1.672514515893063e-06, 1.706131821906209e-06, 1.740424808193519e-06, 1.7754071017497256e-06, 1.811092510004231e-06, 1.847495214779887e-06, 1.8846296082087508e-06, 1.9225103723835104e-06, 1.9611525601923568e-06, 2.0005714500953695e-06, 2.0407826277094322e-06, 2.0818020709359958e-06, 2.1236459710927275e-06, 2.1663309561802007e-06, 2.2098739029331726e-06, 2.254292027514787e-06, 2.2996029796371296e-06, 2.3458246443329675e-06, 2.392975389551425e-06, 2.441073857487585e-06, 2.490139065426535e-06, 2.540190509836789e-06, 2.591247946619226e-06, 2.643331665760188e-06, 2.696462259587668e-06, 2.750660734927915e-06, 2.805948628260664e-06, 2.8623477620352043e-06, 2.9198805494216596e-06, 2.978569736869904e-06, 3.038438528876144e-06, 3.099510715412034e-06, 3.161810401619655e-06, 3.225362346052784e-06, 3.290191674608568e-06, 3.3563240193532834e-06, 3.423785659573743e-06, 3.4926032685096273e-06, 3.5628040555874635e-06, 3.634415915012564e-06, 3.7074671137143674e-06, 3.781986680799466e-06, 3.858004079789708e-06, 3.935549366728722e-06, 4.014653354460229e-06, 4.095347266821916e-06, 4.177663170509316e-06, 4.261633611200932e-06, 4.34729178934987e-06, 4.434671741857015e-06, 4.52380795874494e-06, 4.614735862186363e-06, 4.707491402419866e-06, 4.802111253251801e-06, 4.898633013022711e-06, 4.997094779561943e-06, 5.097535681678375e-06, 5.1999954302972644e-06, 5.304514535931085e-06, 5.411134531052213e-06, 5.519897498645612e-06, 5.630846662070072e-06, 5.744025886313028e-06, 5.859479919954669e-06, 5.977254641297278e-06, 6.097396616662893e-06, 6.219953348366206e-06, 6.344973534086869e-06, 6.472506522449585e-06, 6.60260299237201e-06, 6.735314381475769e-06, 6.870693161716062e-06, 7.008793126116546e-06, 7.149668785507953e-06, 7.293376121807863e-06, 7.439971953494794e-06, 7.58951424205251e-06, 7.742062409046287e-06, 7.89767666745315e-06, 8.056418857155474e-06, 8.218351740344807e-06, 8.383539342305987e-06, 8.55204730214511e-06, 8.72394213139406e-06, 8.899292140950173e-06, 9.078166658446976e-06, 9.260636407315248e-06, 9.446773894843992e-06, 9.63665258990235e-06, 9.83034795161683e-06, 1.0027936559823134e-05, 1.0229496536798292e-05, 1.0435107976752084e-05, 1.0644852175482527e-05, 1.0858812062699282e-05, 1.1077072654773791e-05, 1.1299720104913727e-05, 1.152684288820923e-05, 1.1758530804816223e-05, 1.1994875460470684e-05, 1.223597076697068e-05, 1.2481911889764197e-05, 1.2732796561879614e-05, 1.2988723977420975e-05, 1.3249795325775388e-05, 1.3516114345019256e-05, 1.3787786155477333e-05, 1.4064918716967083e-05, 1.4347621600181211e-05, 1.4636006580728125e-05, 1.4930188251230733e-05, 1.5230282728111484e-05, 1.5536409268231455e-05, 1.584868890429481e-05, 1.6167245105574325e-05, 1.6492204455124733e-05, 1.6823695215579632e-05, 1.7161849123115825e-05, 1.750679987140176e-05, 1.7858683846664717e-05, 1.8217640877155654e-05, 1.85838126421114e-05, 1.8957344663040643e-05, 1.933838461893494e-05, 1.972708316422784e-05, 2.0123593929225967e-05, 2.0527071433781103e-05, 2.094148692124389e-05, 2.1418346135980888e-05, 2.1815661829460515e-05, 2.2262366745537816e-05, 2.272060016465252e-05, 2.3188357778347143e-05, 2.3665212125835118e-05, 2.415261252715263e-05, 2.4650447289605185e-05, 2.5158134632877812e-05, 2.5675352747585015e-05, 2.6203190688476615e-05, 2.67388553445098e-05, 2.728858914610613e-05, 2.7854120392957588e-05, 2.843288942130592e-05, 2.9019689774249187e-05, 2.9617657954764928e-05, 3.0228449082863784e-05, 3.084982355725641e-05, 3.147600027307667e-05, 3.2136352165264315e-05, 3.2798658750726656e-05, 3.330552137132658e-05, 3.393875410275774e-05, 3.486854948702038e-05, 3.558801290274522e-05, 3.632360655086398e-05, 3.707274963642161e-05, 3.783932249183447e-05, 3.862070847269641e-05, 3.9417245121129786e-05, 4.022214978268483e-05, 4.106013354552749e-05, 4.1909697178595773e-05, 4.277503866530654e-05, 4.365964376891646e-05, 4.456094642755942e-05, 4.546564568925986e-05, 4.638717858666562e-05, 4.7374855222957526e-05, 4.835420798290546e-05, 4.935860345350694e-05, 5.037841656045402e-05, 5.142040248131603e-05, 5.248127592112749e-05, 5.356329619865874e-05, 5.467592420838912e-05, 5.580592847355203e-05, 5.694982438394203e-05, 5.812187966853426e-05, 5.933798428707362e-05, 6.0560392788500547e-05, 6.182168125228851e-05, 6.30943897198987e-05, 6.439969029645299e-05, 6.569522064618874e-05, 6.703703983518685e-05, 6.848096700765003e-05, 6.989540324364375e-05, 7.135774918940938e-05, 7.292230061662485e-05, 7.425004122284811e-05, 7.587039449314147e-05, 7.741471727967144e-05, 7.899662642364748e-05, 8.061680859050394e-05, 8.225120708759299e-05, 8.313284082115373e-05, 8.575859209624127e-05, 8.758351425857385e-05, 8.937365872536237e-05, 9.124484445305308e-05, 9.310366964272203e-05, 9.505349016563693e-05, 9.703010194225081e-05, 9.896779665521053e-05, 0.0001006905364402879, 0.00010313534176539561, 0.00010506351822265463, 0.0001074636619467931, 0.00010971324658620082, 0.00011198398514532217, 0.00011430421319833284, 0.00011665913870925764, 0.00011901447441394346, 0.00012155281696140745, 0.00012408916220908874, 0.0001266437730100368, 0.00012926269186677052, 0.00013191760665236067, 0.00013465850249117593, 0.00013736754969735456, 0.00014030806530244098, 0.00014319922949538222, 0.00014537457846136587, 0.00014840915184482774, 0.0001518994550593916, 0.0001553763848586244, 0.00015863900064338093, 0.00016194028264334074, 0.00016529525602322116, 0.00016875848336171852, 0.0001720572094997933, 0.00017576753626489755, 0.00017936812023778862, 0.00018285769633631579, 0.00018684865717743336, 0.00019076772668411273, 0.00019469807506937794, 0.00019863807101179093, 0.00020256791475795134, 0.00020699382619536783, 0.00021123603398052963, 0.00021563028077280268, 0.0002192701937999873, 0.00022258490653257083, 0.00022889986137496432, 0.00023320992481428568, 0.00023865874829718452, 0.00024343486515724546, 0.00024836253078517007, 0.0002538197437942215, 0.0002590572212572603, 0.00026445654661052794, 0.0002689987945322989, 0.0002740644427730082, 0.00027979155189417326, 0.0002847609542562622, 0.0002905151437225025, 0.00029852377900795756, 0.00030527149534347443, 0.0003113145421674318, 0.00031775481543810507, 0.0003236615917686059, 0.0003281933663260694, 0.00033661703792091326, 0.00034460837785240853, 0.00035158797541449494, 0.0003589255489666087, 0.0003659905314503796, 0.00037032881451347615, 0.0003780984702208558, 0.00038929138959032864, 0.0003976620066906972, 0.00040382268560066914, 0.0004119942819174588, 0.0004222880587939533, 0.000430708021403586, 0.000439448784068367, 0.00044345298252938646, 0.0004563525649399424, 0.00045916112091446326, 0.00047318059855326996, 0.00048469090044040656, 0.0004854414770099365, 0.0005021577137942532, 0.000515678267655469, 0.0005281811581022943, 0.0005364285666886848, 0.0005449382703451214, 0.0005573743508292242, 0.0005716484713358945, 0.0005786181389749664, 0.0005872132926587361, 0.0006067222264393607, 0.000612262830427474, 0.0006262870348645557, 0.000632010501174928, 0.0006484225636877448, 0.000671486687321174, 0.0006782906246741146, 0.0006898068794263949, 0.0007118545778262304, 0.0007294081196431727, 0.000727965847626492, 0.0007406589770876609, 0.0007590826595677942, 0.0007775447087742252, 0.0007992448229874721, 0.0008093947374835, 0.0008314782738427317, 0.0008459667383169799, 0.000871736643788493, 0.0008852762070210556, 0.0008974757551437539, 0.0009251223052436975, 0.0009337823820245659, 0.0009528308813333592, 0.0009889516665957355, 0.0010093822542251458, 0.0010079538271567695, 0.0010458445516151617, 0.001070163788250599, 0.0010819930932210347, 0.0010952399782069462, 0.0011130095218069495, 0.001155192235222708, 0.0011752624199897685, 0.0011850333777608125, 0.001194819619412118, 0.0012242912305933703, 0.0012429482164267181, 0.0012605122809294636, 0.0013079088653970776, 0.00132684403852933, 0.0013634395759141416, 0.0013710324184360155, 0.0013936650098035075, 0.0014662263839374536, 0.0014726012551512005, 0.0015095498559226028, 0.0015568831993113695, 0.001588269373670309, 0.0016150787841070014, 0.001650892796754009, 0.0016269003339924968, 0.0016686953832488343, 0.0017221251414121564, 0.0017848720276968629, 0.0018030182037354384, 0.0018258051276719613, 0.0018347796718767109, 0.001892701495633992, 0.0019489126818301214, 0.0019690097778917613, 0.0020495416831468076, 0.0020551403175009604, 0.002006622563823839, 0.0020725777019932543, 0.0021097899280874926, 0.002181138414164766, 0.0021725652971152846, 0.002240651485942477, 0.0023460332905033926, 0.0024048377707106467, 0.002307354941500959, 0.0024723318941619436, 0.0025349344399037198, 0.0025102746412251197, 0.0026588951259385327, 0.002694320641432944, 0.002723438036909951, 0.0027974076766872137, 0.0026865926535381414, 0.002790317376324786, 0.003015294950645381, 0.003052447564145333, 0.003038605059922305, 0.0031362541082062805, 0.0031556126879631915, 0.00324003196000634, 0.003228268346668629, 0.0033681727283596174, 0.0034049355195055146, 0.0034488797255143784, 0.0036087169235111834, 0.003632444093176594, 0.003712709863623126, 0.0036959860429491794, 0.0037457568572082166, 0.0038410191833083487, 0.00388626521575299, 0.00393172014094899, 0.004067273112548579, 0.004171495891475043, 0.0042498116296624385, 0.004341159145851228, 0.004425959989150156, 0.004478228779996029, 0.004610706438516825, 0.004671782092707991, 0.004678649805230818, 0.0047737545504874445, 0.004821473538795539, 0.004955427242409309, 0.005013793185244294, 0.005187703275214673, 0.005371748395641573, 0.005434581009001954, 0.005523573580930097, 0.005590294870427234, 0.005569164200974275, 0.005795687288123337, 0.005934062941301612, 0.006007077045523055, 0.00603050682010335, 0.006069362204120193, 0.006237848291396393, 0.006454271478044369, 0.006492631782739828, 0.006683129669612538, 0.006835579472433374, 0.0069073197395277085, 0.00705705098395281, 0.007059193087126496, 0.0073235563264502, 0.007324475135224953, 0.007521775635042664, 0.007814740386086039, 0.008103630139965972, 0.007925450557707147, 0.008317673022590165, 0.008319722125414698, 0.008222309264296682, 0.00866689397280794, 0.008616681210032657, 0.009030481381269616, 0.008963698765687303, 0.009101741713421435, 0.009165039769922724, 0.009505138694924555, 0.009788333889201738, 0.010021311005115224, 0.009774385063897379, 0.010265164477393994, 0.010589513556912252, 0.010794668019795735, 0.011197659514750661, 0.01100919813449682, 0.01141976293049582, 0.011432911007456192, 0.011497054890079034, 0.011936227796362565, 0.01244800245908774, 0.012152085926285585, 0.012690397958573185, 0.01286054559374855, 0.012710934477446489, 0.013293563477454336, 0.013365330943206518, 0.013568680887584497, 0.013942981011648392, 0.014518151245786445, 0.014732558495818223, 0.014626879516741851, 0.014666991135091165, 0.014962592349095923, 0.015299622989124228, 0.016094401290748378, 0.01681720605919571, 0.017207330706188628, 0.016847295530351893, 0.017091825345674935, 0.017720570959482245, 0.017737623494281006, 0.018264323712523758, 0.018671457585157064, 0.019198566759134693, 0.019550438273114673, 0.01914810391619182, 0.019973672280098616, 0.02052185430748048, 0.021036976354427868, 0.02123521431249149, 0.021804732431344922, 0.022662267915358133, 0.02244863649922963, 0.02273638859949427, 0.023389333550938328, 0.024117513065783067, 0.024724407804905427, 0.024807850221064562, 0.02575835214550646, 0.025567281090410197, 0.02681596515436206, 0.026896245010174295, 0.02763679915777299, 0.027635523355450806, 0.028322426059909086, 0.028921972570530412, 0.029561673508468098, 0.03006160362750017, 0.030409556636914557, 0.03152218494570568, 0.03173085537926953, 0.03251008290940042, 0.03291551145268336, 0.0337104989978478, 0.03407756316840821, 0.03499065731968437, 0.03536817570394209, 0.0359736406778324, 0.03689558974276399, 0.03709577970476706, 0.03797981561813154, 0.03872102149605538, 0.039455140222642154, 0.04006699198297015, 0.04092806072698503, 0.04191815601902196, 0.04234854534973988, 0.04321279154209355, 0.04432877034447429, 0.044755096717608724, 0.0455889225588797, 0.04643659649931237, 0.04727481323587111, 0.048516811995437684, 0.04902486711389138, 0.04927812463860113, 0.050961824412841375, 0.05206019639149433, 0.052752275943539075, 0.05412275165740334, 0.05441734265982522, 0.05535643902116422, 0.05642644008018438, 0.057172642147446585, 0.05932454445097925, 0.05988587618609574, 0.060671985360599395, 0.06162773392399352, 0.06368430919413769, 0.06404294708589386, 0.06477910098847509, 0.06647149641820858, 0.06807788761030105, 0.06933628691011279, 0.06982407405566031, 0.0715139639137464, 0.07325968150559364, 0.07417379682527452, 0.07616135899534525, 0.0762799895334539, 0.07849432204347827, 0.07992926076597548, 0.08148991339735345, 0.08268180601008297, 0.08482754997982715, 0.08622518180818209, 0.08713385049707391, 0.08874371230426253, 0.09090748230141535, 0.09203783087550237, 0.09425497612753098, 0.09576851985056756, 0.09784240142218793, 0.0989972775944929, 0.10097234906300905, 0.10243465689257322, 0.1050742064211522, 0.10761286096042007, 0.10948252375052525, 0.11142686889070164, 0.11327584431109596, 0.11428574606238114, 0.11727030439267924, 0.11869780383846612, 0.12229172906817884, 0.12466203554728673, 0.12652435434529127, 0.12917147611429963, 0.13104541688665736, 0.13421954813688675, 0.13687317061912452, 0.13998924774201713, 0.14192088357120333, 0.14433246038325487, 0.14729959580798874, 0.15043309481952352, 0.1534922594593334, 0.1549457092448728, 0.15769190608894293, 0.15981699741121522, 0.1633534239104373, 0.16435182888831018, 0.16818598790600206, 0.17055917099991383, 0.1723511540331533, 0.17415552869236667, 0.17728593103792392, 0.18005224996441094, 0.18177325715897347, 0.18333888761335485, 0.18484756064015492, 0.1850604316152051, 0.18994972874390773, 0.19171201954464848, 0.19469839532699404, 0.19704556062393902, 0.198494939226746, 0.2026983186746083, 0.20502132627183772, 0.20968895148181266, 0.21225984165338743, 0.21424924678010476, 0.22110766187447212, 0.22255169023407817, 0.22576555348918753, 0.22485111515713266, 0.23349964184184394, 0.23636851434354542, 0.23676067369887657, 0.23946896320058364, 0.24354234278252168, 0.24822004239699688, 0.24779737349062111, 0.25181980185375935, 0.2523581078575069, 0.2576827995052288, 0.2583845102771316, 0.2644957928980183, 0.26729081967007323, 0.26834244141297753, 0.28685201302699614, 0.29899786816714324, 0.3190257878142184, 0.3320266038498801, 0.33923503334912575, 0.3442531903247054, 0.3464213391838635, 0.34836192246685554, 0.3441645654193646, 0.34817591989950497, 0.3519605433529289, 0.3553101615552285, 0.357180687682799, 0.36125895762042726, 0.3620088345881839, 0.36928235582889885, 0.3693632082776315, 0.375382896453255, 0.38555973680298716, 0.39230535313003595, 0.3942281972414014, 0.3981824812977558, 0.4030234538265168, 0.4099776243119214, 0.4147706468086427, 0.42313950053430455, 0.43050857893556194, 0.43508423955941244, 0.4458938163751739, 0.4568536501801274, 0.4637864339968322, 0.4689392286409034, 0.4744019410537645, 0.4826171499255855, 0.488256984547358, 0.4932494026028266, 0.49790012669908773, 0.5077223857679976, 0.5155750110536423, 0.5259683284061148, 0.5431907311455808, 0.5619870788311796, 0.582151363589641, 0.6024519496275732, 0.6236068324021735, 0.6413143412908547, 0.6587996727538208, 0.6717344813586114, 0.6896728850998923, 0.7125614604390269, 0.7281803118631321, 0.7475366749848146, 0.7557556846924725, 0.7631834381985982, 0.762169098162297, 0.7663212821484803, 0.7605545614127213, 0.7555605654605276, 0.7489657796215149, 0.7454382987844973, 0.7449660690124311, 0.7408795832364171, 0.737411711618152, 0.7361909640724684, 0.7319485560988651, 0.7258418212501159, 0.7187968042119697, 0.7147853371355822, 0.7102386916498971, 0.698425755169487, 0.6968967171272112, 0.6858340717393979, 0.6785000402483272, 0.67281951570445, 0.6667296551805579, 0.6627768154516384, 0.6584165354531037, 0.6536219902160278, 0.6519052178199285, 0.6529938392270542, 0.6493106566204562, 0.6520048914161858, 0.661412710028098, 0.669020597904663, 0.6691274178901714, 0.6726643975684071, 0.6882388121169914, 0.7041731231124646, 0.7180987898858706, 0.741660635522199, 0.7610416283466527, 0.75998303616323, 0.7508185574163948, 0.748821218137201, 0.7366558822380731, 0.7408856179560543, 0.7576732716431142, 0.7843467276098098, 0.8344521373415807, 0.888525794290917, 0.9459708449940591, 1.0125589206672807, 1.0824212336622863, 1.1080250292821257, 1.1452644519563073, 1.1957821389652854, 1.2570198860018773, 1.2645695578331089, 1.2487304483901194, 1.2191863275844625, 1.1922542424389537, 1.1649037768556374, 1.1333812296540713, 1.0968663136596166, 1.062837517698435, 1.0297125342370603, 1.0030127784732963, 0.9865676277777784, 0.9754771012080792, 0.9690629872339541, 0.9714333193802316, 0.9964234406301743, 0.9857479267310948, 0.9830779973034305, 0.983799897656243, 0.9602241134518452, 0.9248453286685336, 0.9261406176866375, 0.9886838150511028, 1.0123168896389878, 1.0381404150178095, 1.0938847628012505, 1.169473488538748, 1.2406302044117137, 1.2983695568917966, 1.3703713396050303, 1.4476142180667508, 1.458130811566392, 1.4197267735584114, 1.3708027976441282, 1.3157559957976803, 1.2679456547729584, 1.2220826295830733, 1.1689020297897128, 1.1148266567459792, 1.07044717942469, 1.035216551851142, 1.0066843518769526, 0.968393245944564, 0.9326814136821877, 0.904745690132377, 0.9125707816867579, 0.8921610057998666, 0.8590157154523081, 0.864132892269281, 0.9034595650260442, 0.944652888860209, 0.9457074740224414, 0.9404075539778636, 0.9722652721510676, 1.0981988279356374, 1.2962767802244324, 1.3213021030507857, 1.3144574133127371, 1.285336095902226, 1.2580417054155795, 1.2284084575830816, 1.2079061978311758, 1.2100936349807028, 1.180871116113802, 1.136405063736851, 1.0933103097838706, 1.067417299697583, 1.0535417510341587, 1.0466607016009648, 1.0253909529062137, 0.9797042875801887, 0.9865822417389202, 0.9501908594937043, 0.9464979614428751, 0.9940047029864839, 0.9976597685213774, 0.9629675174940523, 0.9207464685817788, 0.8755016292743273, 0.8364639496666735, 0.7894509538225547, 0.7724140287359197, 0.7423975146670199, 0.7022095118184711, 0.6779191135499258, 0.6649238605349066, 0.6779914470665162, 0.6446573779778965, 0.568762830904194, 0.48485612997203553, 0.4336236337484907, 0.5024165977889068, 0.5698134316785765, 0.4752856321249705, 0.38582447970580447, 0.342308132023193, 0.3067082448290233, 0.21721341982813255, 0.1908909918776161, 0.16545371061156616, 0.21756373950607813, 0.29150338686304955, 0.3049086614635103, 0.32044362672407833, 0.2734181579032317, 0.1899074082908043, 0.15961305463277098, 0.1408657738746919, 0.11463683696801663, 0.0908695729303409, 0.1026341433528673, 0.11867246089306507, 0.08788216758402354, 0.09295703403060036, 0.10722011079433075, 0.07065564522144416, 0.03559518643216485, 0.029267719336057298, 0.05689666300520244, 0.052871141837345884, 0.03179774755698284, 0.02305986751088895, 0.017351292291988347, 0.015615382176359306, 0.02102194677775823, 0.024798311777261547, 0.019822846456263258, 0.021774893011379796, 0.01572363171571052, 0.012997472418962272, 0.007580523700159501, 0.007115584183292423, 0.01701350334325128, 0.01626984400515465, 0.010384957182516457, 0.006211671267921523, 0.004649443919456637, 0.010999949996932113, 0.011679033007839654, 0.00956609445953831, 0.006786686919108465, 0.006394336817395432, 0.008710402798837266, 0.007088082581343659, 0.008697091351991787, 0.010708868871285698, 0.010434988076451945, 0.009778498118759008, 0.00839094780654467, 0.0051758411385922345, 0.007587688410807572, 0.005682924495015099, 0.004117830323482454, 0.004667433648123216, 0.009275765324346378, 0.005594487872327148, 0.002832993526592153, 0.0025532219334647517, 0.004314166900314615, 0.003749197819236715, 0.0029729021432809096, 0.0029982951132819856, 0.003684063507763048, 0.003322281470218644, 0.0029064726922164953, 0.0032177439129289164, 0.0034060549271250776, 0.003154035097525904, 0.002110110655314053, 0.0012071642544469303, 0.0011699111011549488, 0.0022036534532549924, 0.0024999406616614296, 0.0027258321285777514, 0.0022028800612600504, 0.0022558397125323057, 0.0009986223472199698, 0.00079615082485104, 0.0006798287249784676, 0.0007026210214113552, 0.0009624117161719716, 0.0008311522495613036, 0.0002326784640413351, 0.0006249590436149844, 0.0007740325133905965, 0.0004372453076868695, 0.00020059932306167575, 0.000571665157410876, 0.00032418652802702674, 0.00020557767719652718, 0.00015057764117122678, 0.00026715553233877927, 0.00024182665698128426, 0.0003451841480323584, 0.00032037839950384994, 0.0002902022635216357, 0.0001930404317253496, 0.00014529649051977733, 0.00013448356765191912, 0.00012395111394994794, 7.041006321584787e-05, 2.0113903064332944e-05, 1.3067581617927848e-05, 5.595437052298825e-06, 3.6698386414047126e-06, 3.896841903753755e-06, 4.4156648842037834e-06, 5.30951456314021e-06, 2.001369445946595e-06, 1.5748190177164216e-07, 1.1200054473289219e-07, 1.1115914919875663e-07, 1.0530612754464035e-07, 5.0381185042657594e-08, 4.627184381562884e-08, 4.73164031632266e-08, 4.1333171977033614e-08, 4.124732743692184e-08, 1.8946802638303807e-08, 8.64290321960097e-09, 7.809691392015475e-09, 4.489218221448153e-09, 1.3522677277544515e-09, 1.0183032339923953e-09, 2.0202553269881203e-09, 1.3842888850779027e-09, 6.06253819182458e-10, 3.084145460099727e-10, 1.0947542287302489e-10, 1.5398247552546497e-10, 8.712128066864645e-11, 3.806405580390803e-11, 2.6138321403631943e-11, 2.8583247096769382e-11, 1.6510742644654665e-11, 1.0333690852211111e-11, 4.762291744702673e-12, 3.0726663109239236e-12, 2.2130641331166898e-12, 1.62138531486727e-12, 9.352894979715747e-13, 3.3133894153665994e-13, 2.57623400139874e-14, 5.422030793553145e-15, 2.844510612360362e-15, 1.9374270579685457e-15, 1.4004742659362843e-15, 8.741569758482259e-16, 5.546635490405665e-16, 3.628685616713274e-16, 2.167711059440182e-16, 1.311535668255761e-16, 8.553375737518022e-17, 5.895197270505722e-17, 3.74786358385707e-17, 2.795063528037413e-17, 1.8036980140041356e-17, 1.0107421002941785e-17, 6.989214274845298e-18, 4.232298545474172e-18, 2.7414020370517988e-18, 1.714485666764146e-18, 9.213546430159e-19, 4.989692192032723e-19, 3.457677984069172e-19, 1.8689271644062025e-19, 4.367844923516907e-20, 1.4829867136131617e-20, 1.453285607878505e-20, 1.0146229218884781e-20, 1.6546920904891387e-21, 8.150370347146293e-22, 2.031300238438172e-21, 5.1883387431607544e-21, 4.447021273960275e-21, 2.8570042511256453e-21, 1.7566379700825914e-21, 1.1730392266540579e-21, 7.508814083754139e-22, 3.9122316585887395e-22, 1.311649321642467e-22, 2.398691433348833e-23, 1.365755018787003e-24, 4.254858193772746e-25, 5.262489719327159e-25, 2.1473785397126566e-25, 9.102565479890311e-26, 2.3285357351870553e-25, 3.8202674448872154e-25, 5.819741027710671e-26, 1.4363640357724148e-26, 1.8121286786797093e-26, 4.311192998254416e-26, 4.7993807927354806e-26, 2.966507625937642e-26, 2.3505667570941115e-26, 4.87009050460453e-26, 7.251588178958793e-27, 2.830469234399036e-29, 1.0521663523605918e-29, 2.2717988302580584e-29, 3.402252492764586e-29, 5.211717561354439e-29, 4.631494347127288e-29, 1.6093482841811586e-29, 3.179314075380583e-30, 1.8497363903708322e-30, 1.071422790440417e-30, 3.5962540192753357e-31, 6.535690191372009e-32, 6.079537477260074e-32, 3.5146440011969637e-32, 5.645661645963429e-33, 2.206736709189851e-34, 4.956980432193098e-35, 3.721264060587343e-35, 1.4600001235398428e-35, 8.25119615702954e-36, 2.6972873739622102e-36, 4.953576935367475e-37, 3.5483175849103067e-37, 7.98656529602356e-38, 2.652343548418575e-38, 3.1066935887873936e-39, 1.3593813524632502e-40, 3.040239902730254e-43, 3.9799688444216004e-47, 1.2828682048444166e-47, 7.73151248247243e-48, 3.764913885994325e-48, 1.526196467916552e-48, 9.548862107665856e-49, 6.531441145443388e-49, 2.672001050293661e-49, 9.942237415361486e-50, 3.586667228794951e-50, 1.299316563866888e-50, 4.5971298196259377e-51, 1.5930960470800065e-51, 4.058481504747091e-52, 1.1737086281674388e-52, 3.6336958750887997e-53, 1.3255357893453834e-53, 4.388045310670401e-54, 1.478425750102437e-54, 4.81500485793866e-55, 1.564292863634072e-55, 5.006705966444452e-56, 1.5748445691400938e-56, 4.8706214123351084e-57, 1.4892573372185143e-57, 4.490330551623533e-58, 1.340684681255862e-58, 3.9432714019618765e-59, 1.1438794819141075e-59, 3.275291578128306e-60, 9.17837104590243e-61, 2.5786315969078886e-61, 7.118399721885977e-62, 1.932286985762214e-62, 5.135704127004068e-63, 1.2712973403372058e-63, 3.497654779660382e-64, 9.16132800094588e-65, 2.362700039064425e-65, 5.959599484041008e-66, 1.4575573140610376e-66, 3.520779892125516e-67, 7.2703435433710675e-68, 7.71473562952137e-69, 3.870742219869074e-69, 3.4379720351873316e-70, 4.3505042871302314e-71, 9.829769241593228e-72, 2.1679908887239124e-72, 4.7596513730013826e-73, 1.016586491273428e-73, 1.7501986694069339e-74, 3.1170484669164864e-75, 8.139007666411898e-76, 1.5237285790276773e-76, 3.1319617659176957e-77, 7.202620908158234e-78, 1.3818000808675905e-78, 1.4923704617031814e-79]}, {"wavelength": [10000.0, 9984.426459182576, 9934.752695704063, 9885.326065377165, 9836.145338683753, 9787.209292222647, 9738.516708679237, 9690.066376795268, 9641.857091338583, 9593.887653073223, 9546.156868729584, 9498.663550974698, 9451.40651838279, 9404.384595405769, 9357.596612344036, 9311.041405317455, 9264.717816236282, 9218.624692772426, 9172.760888330778, 9127.125262020663, 9081.716678627532, 9036.534008584616, 8991.57612794488, 8946.841918353122, 8902.330267018038, 8858.040066684622, 8813.970215606596, 8770.119617518989, 8726.48718161094, 8683.071822498454, 8639.872460197455, 8596.888020096978, 8554.117432932322, 8511.559634758536, 8469.213566923923, 8427.078176043693, 8385.15241397383, 8343.435237784912, 8301.92560973622, 8260.622497249977, 8219.524872885555, 8178.63171431399, 8137.942004292534, 8097.454730639327, 8057.168886208292, 8017.083468863978, 7977.197481456684, 7937.509931797701, 7898.019832634534, 7858.7262016264085, 7819.628061319815, 7780.724439124184, 7742.014367287751, 7703.49688287339, 7665.1710277347065, 7627.035848492251, 7589.090396509708, 7551.333727870362, 7513.764903353599, 7476.382988411532, 7439.187053145808, 7402.176172284392, 7365.349425158589, 7328.705895680194, 7292.244672318606, 7255.964848078221, 7219.865520475847, 7183.945791518246, 7148.204767679852, 7112.641559880455, 7077.255283463131, 7042.045058172274, 7007.010008131621, 6972.149261822514, 6937.461952062208, 6902.947215982287, 6868.604195007257, 6834.432034833096, 6800.429885406057, 6766.596900901554, 6732.932239703044, 6699.435064381143, 6666.104541672784, 6632.939842460473, 6599.940141751719, 6567.104618658433, 6534.432456376541, 6501.922842165717, 6469.574967329077, 6437.388027193116, 6405.361221087683, 6373.493752326044, 6341.784828185123, 6310.233659885699, 6278.839462572827, 6247.60145529635, 6216.518860991398, 6185.590906459106, 6154.816822347374, 6124.195843131708, 6093.727207096231, 6063.410156314662, 6033.243936631497, 6003.227797643285, 5973.36099267989, 5943.642778785965, 5914.072416702456, 5884.649170848208, 5855.372309301703, 5826.241103782794, 5797.254829634613, 5768.4127658055895, 5739.7141948314365, 5711.158402817355, 5682.744679420257, 5654.472317831094, 5626.340614757312, 5598.34887040529, 5570.496388462968, 5542.782476082559, 5515.206443863247, 5487.76760583408, 5460.4652794369, 5433.298785509346, 5406.26744826801, 5379.370595291556, 5352.6075575040295, 5325.977669158242, 5299.48026781915, 5273.114694347417, 5246.880292883006, 5220.776410828855, 5194.802398834686, 5168.957610780785, 5143.241403761969, 5117.653138071614, 5092.19217718569, 5066.857887746959, 5041.649639549217, 5016.566805521602, 4991.608761713041, 4966.774887276661, 4942.064564454383, 4917.4771785615785, 4893.0121179717235, 4868.668774101221, 4844.4465413942535, 4820.344817307709, 4796.363002296231, 4772.500499797248, 4748.756716216161, 4725.131060911606, 4701.622946180707, 4678.231787244487, 4654.957002233325, 4631.798012172456, 4608.754240967622, 4585.825115390671, 4563.0100650653385, 4540.308522453077, 4517.719922838885, 4495.243704317302, 4472.879307778414, 4450.6261768939385, 4428.483758103424, 4406.451500600426, 4384.528856318826, 4362.715279919233, 4341.01022877536, 4319.41316296056, 4297.923545234391, 4276.540841029239, 4255.264518437058, 4234.09404819608, 4213.028903677686, 4192.068560873323, 4171.212498381418, 4150.460197394449, 4129.811141686022, 4109.264817598027, 4088.8207140278905, 4068.4783224158145, 4048.2371367321484, 4028.0966534648273, 4008.0563716067963, 3988.1157926435812, 3968.27442054088, 3948.5317617322135, 3928.887325106683, 3909.340621996703, 3889.891166165868, 3870.5384737968866, 3851.282063479492, 3832.1214561985025, 3813.056175321896, 3794.085746588946, 3775.2096980984566, 3756.4275602969747, 3737.7388659671337, 3719.1431502160563, 3700.6399504637407, 3682.2288064315853, 3663.9092601309335, 3645.6808558516705, 3627.5431401509186, 3609.4956618417127, 3591.537971981799, 3573.669623862489, 3555.890172997504, 3538.199177111947, 3520.5961961312933, 3503.0807921704363, 3485.652529522825, 3468.3109746495797, 3451.0556961687316, 3433.8862648445115, 3416.802253576631, 3399.803237389685, 3382.8887934225745, 3366.0585009179804, 3349.311941211923, 3332.648697723309, 3316.068355943587, 3299.570503426457, 3283.1547297775714, 3266.820626644352, 3250.5677877058256, 3234.395808662509, 3218.3042872263795, 3202.2928231108276, 3186.3610180207197, 3170.5084756425094, 3154.7348016343403, 3139.0396036162615, 3123.4224911604615, 3107.8830757815495, 3092.420970926917, 3077.035791967084, 3061.7271561861494, 3046.49468277229, 3031.3379928082513, 3016.256709261944, 3001.250456977061, 2986.318862663738, 2971.461554889294, 2956.6781640689514, 2941.9683224566643, 2927.3316641359866, 2912.767825010934, 2898.2764427969514, 2883.857157011894, 2869.509608967055, 2855.2334417582656, 2841.028300256983, 2826.8938311014717, 2812.8296826880337, 2798.8355051622248, 2784.910950410176, 2771.0556720499285, 2757.2693254228107, 2743.5515675848883, 2729.902057298398, 2716.3204550232786, 2702.8064229087367, 2689.3596247848145, 2675.9797261540466, 2662.666394183133, 2649.419297694656, 2636.238107158864, 2623.1224946854386, 2610.072134015358, 2597.086700512796, 2584.165871157013, 2571.3093245343434, 2558.516740830194, 2545.7878018210854, 2533.1221908667535, 2520.5195929022443, 2507.9796944300906, 2495.50218351253, 2483.086749763713, 2470.733084342005, 2458.4408799422954, 2446.2098307883502, 2434.0396326252257, 2421.9299827116693, 2409.880579812603, 2397.8911241916467, 2385.9613176036305, 2374.090863287196, 2362.279465957411, 2350.526831798416, 2338.8326684561366, 2327.1966850309836, 2315.6185920706275, 2304.098101562815, 2292.634926928176, 2281.228783013112, 2269.8793860827004, 2258.5864538136293, 2247.349705287195, 2236.168860982285, 2225.04364276844, 2213.973773898947, 2202.958979003929, 2191.998984083513, 2181.0935165010096, 2170.242304976126, 2159.4450795782363, 2148.70157171964, 2138.0115141488927, 2127.3746409441733, 2116.790687506642, 2106.259390553874, 2095.780488113309, 2085.353719515728, 2074.978825388785, 2064.655547650534, 2054.3836295030164, 2044.1628154258885, 2033.9928511700398, 2023.8734837512848, 2013.804461444066, 2003.7855337751876, 1993.8164515176009, 1983.8969666841815, 1974.0268325215711, 1964.2058035040523, 1954.4336353274166, 1944.7100849029036, 1935.0349103511494, 1925.407870996166, 1915.8287273593705, 1906.2972411536039, 1896.8131752772154, 1887.376293808176, 1877.9863619981863, 1868.6431462668536, 1859.3464141958755, 1850.0959345232568, 1840.8914771375703, 1831.7328130722105, 1822.6197144997097, 1813.5519547260806, 1804.5293081851562, 1795.5515504329926, 1786.6184581422824, 1777.729809096796, 1768.8853821858681, 1760.084957398875, 1751.328315819774, 1742.615239621667, 1733.9455120613613, 1725.3189174739928, 1716.7352412676557, 1708.1942699180631, 1699.695790963248, 1691.239592998258, 1682.8254656699064, 1674.45319967155, 1666.1225867378619, 1657.8334196396647, 1649.5854921787723, 1641.3785991828559, 1633.212536500355, 1625.0871009953794, 1617.002090542664, 1608.9573040225525, 1600.9525413159738, 1592.9876032994775, 1585.0622918402773, 1577.1764097913187, 1569.329760986388, 1561.522150235213, 1553.753383318618, 1546.0232669837005, 1538.3316089390066, 1530.678217849759, 1523.0629033330947, 1515.4854759533262, 1507.945747217241, 1500.4435295693952, 1492.978636387456, 1485.5508819775691, 1478.1600815697218, 1470.806051313157, 1463.4886082717992, 1456.2075704196986, 1448.9627566365173, 1441.7539867030032, 1434.5810812965187, 1427.4438619865869, 1420.3421512304358, 1413.2757723685938, 1406.2445496204925, 1399.2483080800903, 1392.2868737115336, 1385.3600733448106, 1378.4677346714516, 1371.6096862402512, 1364.7857574529874, 1357.9957785601875, 1351.2395806569039, 1344.5169956785096, 1337.827856396528, 1331.1719964144568, 1324.5492501636368, 1317.959452899142, 1311.4024406956646, 1304.8780504434485, 1298.3861198442282, 1291.9264874071905, 1285.4989924449667, 1279.1034750696197, 1272.7397761886746, 1266.4077375011695, 1260.1072014937022, 1253.8380114365204, 1247.6000113796233, 1241.3930461488771, 1235.2169613421672, 1229.0716033255405, 1222.956819229392, 1216.8724569446695, 1210.818365119075, 1204.7943931533093, 1198.8003911973237, 1192.836210146589, 1186.901701638398, 1180.996718048158, 1175.121112485728, 1169.27473879177, 1163.4574515341003, 1157.6691060040807, 1151.9095582130167, 1146.1786648885723, 1140.476283471217, 1134.8022721106645, 1129.1564896623513, 1123.5387956839324, 1117.9490504317744, 1112.3871148574879, 1106.8528506044663, 1101.3461200044426, 1095.8667860740732, 1090.4147125115164, 1084.9897636930498, 1079.591804669702, 1074.2207011638834, 1068.876319566054, 1063.5585269313976, 1058.2671909765138, 1053.0021800761338, 1047.7633632598354, 1042.5506102087902, 1037.3637912525282, 1032.2027773657005, 1027.0674401648769, 1021.957651905351, 1016.8732854779598, 1011.8142144059309, 1006.780312841723, 1001.7714555639022, 996.7875179740328, 991.8283760935657, 986.8939065607626, 981.9839866276252, 977.0984941568398, 972.2373076187467, 967.4003060883059, 962.5873692420943, 957.7983773553184, 953.0332112988249, 948.2917525361449, 943.5738831205429, 938.8794856920813, 934.2084434747085, 929.5606402733424, 924.9359604709863, 920.3342890258576, 915.7555114685158, 911.1995138990213, 906.6661829841015, 902.1554059543287, 897.6670706013227, 893.2010652749486, 888.7572788805447, 884.3356008761646, 879.9359212698162, 875.5581306167331, 871.2021200166506, 866.867781111094, 862.5550060806912, 858.2636876424795, 853.993719047242, 849.7449940768585, 845.5174070416508, 841.3108527777626, 837.1252266445406, 832.9604245219298, 828.8163428078909, 824.6928784158125, 820.5899287719517, 816.5073918128878, 812.4451659829735, 808.4031502318151, 804.381244011757, 800.379347275379, 796.3973604730145, 792.4351845502638, 788.4927209455351, 784.5698715875976, 780.6665388931326, 776.7826257643117, 772.9180355863803, 769.072672225253, 765.246440025128, 761.439243806098, 757.650988861788, 753.8815809570036, 750.1309263253773, 746.3989316670427, 742.6855041463117, 738.9905513893639, 735.3139814819547, 731.6557029671196, 728.0156248429041, 724.3936565601041, 720.7897080200047, 717.2036895721444, 713.6355120120846, 710.0850865791878, 706.5523249544161, 703.0371392581261, 699.5394420478857, 696.0591463163047, 692.596165488861, 689.1504134217527, 685.7218043997544, 682.310253134083, 678.9156747602822, 675.5379848361022, 672.1770993394043, 668.8329346660744, 665.5054076279353, 662.1944354506824, 658.8999357718237, 655.6218266386297, 652.3600265060996, 649.1144542349256, 645.8850290894773, 642.6716707357988, 639.4742992396012, 636.2928350642803, 633.1271990689361, 629.9773125064032, 626.8430970212972, 623.7244746480575, 620.6213678090115, 617.5336993124498, 614.4613923506968, 611.4043704982062, 608.3625577096583, 605.3358783180672, 602.3242570329031, 599.3276189382125, 596.3458894907579, 593.3789945181676, 590.4268602170825, 587.4894131513264, 584.5665802500764, 581.6582888060454, 578.7644664736775, 575.8850412673412, 573.0199415595428, 570.1690960791475, 567.3324339095999, 564.5098844871645, 561.7013775991691, 558.9068433822571, 556.1262123206542, 553.3594152444324, 550.6063833277927, 547.8670480873564, 545.1413413804545, 542.4291954034377, 539.7305426899882, 537.0453161094403, 534.3734488651152, 531.7148744926523, 529.0695268583597, 526.4373401575723, 523.8182489130077, 521.2121879731424, 518.6190925105898, 516.0388980204866, 513.4715403188926, 510.916955541187, 508.37508014048393, 505.84585088605405, 503.32920486174567, 500.82507946442394, 498.33341240241174, 495.85414169394187, 493.3872056656142, 490.93254295086024, 488.49009248841804, 486.0597935208138, 483.64158559284994, 481.2354085500998, 478.8412025374126, 476.45890799742534, 474.0884656690803, 471.72981658614987, 469.3829020757709, 467.04766375698586, 464.7240435392897, 462.41198362118416, 460.11142648874034, 457.82231491416934, 455.54459195439773, 453.2782009496498, 451.0230855220395, 448.7791895741685, 446.54645728773016, 444.3248331221199, 442.1142618130545, 439.9146883711984, 437.72605808079476, 435.54831649830356, 433.3814094510482, 431.22528303586876, 429.0798836177802, 426.94515782863726, 424.82105256580815, 422.7075149908537, 420.604492528213, 418.51193286389383, 416.42978394417287, 414.3579939743012, 412.29651141721547, 410.2452849922545, 408.20426367388495, 406.1733966904327, 404.15263352281886, 402.14192390330265, 400.1412178142314, 398.1504654867973, 396.1696173997986, 394.19862427840684, 392.23743709294206, 390.28600705765365, 388.34428562950643, 386.4122245069718, 384.4897756288276, 382.5768911729627, 380.67352355518705, 378.7796254280471, 376.89514967964874, 375.0200494324862, 373.1542780422751, 371.2977890967914, 369.4505364147177, 367.6124740444952, 365.78355626317955, 363.9637375753033, 362.15297271174444, 360.3512166286013, 358.5584245060713, 356.77455174733484, 354.99955397744753, 353.23338704223625, 351.4760070072005, 349.72737015641866, 347.9874329914613, 346.2561522303096, 344.53348480627847, 342.819387866944, 341.11381877307855, 339.41673509759045, 337.7280946244684, 336.04785534773, 334.375975470378, 332.7124134033611, 331.0571277645387, 329.4100773776506, 327.7712212712941, 326.1405186779045, 324.517929032741, 322.9034119728769, 321.2969273361958, 319.69843516039373, 318.1078956819841, 316.52526933530777, 314.9505167515499, 313.38359875776104, 311.82447637588183, 310.27311082177323, 308.72946350425184, 307.19349602413115, 305.66517017326504, 304.1444479335973, 302.6312914762161, 301.1256631604139, 299.62752553275044, 298.13684132612, 296.6535734588258, 295.17768503365744, 293.70913933697284, 292.24789983778413, 290.79393018684976, 289.34719421577086, 287.9076559360906, 286.4752795383988, 285.0500293914415, 283.6318700412353, 282.2207662101846, 280.81668279620374, 279.41958487184445, 278.02943768342726, 276.64620665017657, 275.26985736335996, 273.90035558543275, 272.5376672491867, 271.1817584569024, 269.8325954795051, 268.49014475572636, 267.15437289126993, 265.82524665798024, 264.5027329930154, 263.18679899802515, 261.8774119383334, 260.574539242123, 259.2781484996251, 257.9882074623134, 256.7046840421028, 255.4275463105503, 254.15676249806017, 252.89230099309464, 251.63413034138762, 250.38221924516202, 249.13653656235044, 247.89705130582126, 246.66373264260815, 245.43654989314263, 244.21547253049036, 243.00047017959233, 241.79151261650972, 240.58856976767154, 239.39161170912607, 238.20060866579703, 237.01553101074325, 235.8363492644213, 234.66303409395172, 233.4955563123897, 232.33388687799965, 231.17799689353217, 230.0278576055048, 228.8834404034873, 227.7447168193903, 226.61165852675668, 225.48423734005655, 224.36242521398657, 223.24619424277265, 222.13551665947543, 221.0303648352991, 219.9307112789045, 218.8365286357258, 217.74778968728955, 216.66446735053702, 215.5865346771512, 214.51396485288672, 213.44673119690236, 212.38480716109703, 211.32816632944972, 210.27678241736285, 209.23062927100796, 208.18968086667473, 207.15391131012407, 206.12329483594428, 205.0978058069099, 204.07741871334332, 203.06210817248086, 202.0518489278416, 201.04661584859875, 200.04638392895413, 199.0511282875165, 198.06082416668303, 197.07544693202306, 196.09497207166487, 195.1193751956864, 194.1486320355088, 193.1827184432925, 192.22161039133593, 191.26528397147848, 190.31371539450592, 189.36688098955827, 188.4247572035407, 187.48732060053794, 186.55454786123175, 185.6264157823203, 184.70290127594072, 183.7839813690952, 182.86963320307973, 181.9598340329153, 181.05456122678152, 180.1537922654542, 179.25750474174544, 178.36567635994584, 177.4782849352696, 176.59530839330304, 175.7167247694557, 174.84251220841378, 173.97264896359593, 173.10711339661282, 172.24588397672912, 171.3889392803276, 170.53625799037587, 169.68781889589633, 168.84360089143908, 168.00358297655643, 167.16774425528016, 166.3360639356021, 165.50852132895727, 164.68509584970886, 163.8657670146358, 163.05051444242363, 162.2393178531578, 161.43215706781882, 160.62901200778003, 159.82986269430845, 159.03468924806808, 158.24347188862507, 157.4561909339554, 156.67282679995557, 155.89335999995575, 155.1177711442347, 154.34604093953712, 153.57815018859412, 152.81407978964583, 152.05381073596612, 151.2973241153893, 150.54460110984004, 149.79562299486568, 149.05037113916993, 148.3088270041493, 147.5709721434321, 146.83678820241997, 146.1062569178309, 145.3793601172448, 144.6560797186515, 143.93639773000146, 143.22029624875776, 142.50775746145064, 141.79876364323442, 141.09329715744713, 140.3913404551714, 139.6928760747975, 138.9978866415895, 138.30635486725322, 137.61826354950577, 136.93359557164766, 136.2523339021369, 135.57446159416605, 134.89996178523995, 134.22881769675627, 133.5610126335883, 132.89652998366992, 132.2353532175821, 131.5774658881415, 130.9228516299915, 130.27149415919547, 129.62337727283142, 128.97848484858858, 128.3368008443667, 127.69830929787729, 127.06299432624614, 126.43084012561815, 125.80183097076429, 125.1759512146908, 124.55318528824965, 123.93351769975098, 123.31693303457806, 122.703415954804, 122.09295119881004, 121.4855235809056, 120.88111799095083, 120.27971939398088, 119.68131282983181, 119.08588341276807, 118.49341633111247, 117.90389684687804, 117.31731029540113, 116.73364208497632, 116.15287769649383, 115.57500268307841, 115.00000266972984, 114.4278633529651, 113.85857050046276, 113.29210995070918, 112.72846761264603, 112.16762946531952, 111.60958155753183, 111.05431000749432, 110.501801002482, 109.95204079848963, 109.40501571989014, 108.86071215909465, 108.31911657621366, 107.78021549872014, 107.24399552111454, 106.71044330459155, 106.17954557670808, 105.6512891310529, 105.12566082691828, 104.60264758897338, 104.08223640693876, 103.56441433526253, 103.04916849279851, 102.53648606248605, 102.02635429103097, 101.51876048858811, 101.01369202844585, 100.51113634671226, 100.01108094200232, 99.51351337512676, 99.01842126878282, 98.52579230724656, 98.03561423606631, 97.54787486175759, 97.06256205150007, 96.57966373283585, 96.09916789336908, 95.62106258046681, 95.14533590096198, 94.67197602085767, 94.20097116503257, 93.7323096169479, 93.26597971835609, 92.80196986901102, 92.34026852637919, 91.8808642053525, 91.42374547796265, 90.96890097309715, 90.51631937621613, 90.06598942907084, 89.6178999294237, 89.17203973076982, 88.7283977420596, 88.28696292742255, 87.84772430589305, 87.41067095113735, 86.97579199118151, 86.54307660814086, 86.11251403795109, 85.68409357010056, 85.2578045473638, 84.83363636553618, 84.41157847317031, 83.99162037131372, 83.57375161324754, 83.15796180422647, 82.74424060122034, 82.33257771265704, 81.92296289816626, 81.51538596832471, 81.10983678440267, 80.70630525811208, 80.30478135135537, 79.90525507597555, 79.50771649350798, 79.1121557149333, 78.71856290043121, 78.32692825913558, 77.93724204889111, 77.54949457601103, 77.1636761950359, 76.7797773084935, 76.39778836666018, 76.01769986732353, 75.63950235554586, 75.26318642342878, 74.88874270987935, 74.51616190037745, 74.14543472674379, 73.7765519669093, 73.40950444468585, 73.04428302953814, 72.68087863635641, 72.31928222523031, 71.95948480122416, 71.60147741415338, 71.24525115836163, 70.89079717249918, 70.53810663930265, 70.18717078537576, 69.83798088097095, 69.49052823977213, 69.14480421867873, 68.80080021759075, 68.45850767919482, 68.11791808875113, 67.7790229738817, 67.44181390435988, 67.10628249190043, 66.77242038995072, 66.44021929348328, 66.10967093878932, 65.780767103273, 65.45349960524682, 65.12786030372816, 64.80384109823696, 64.48143392859404, 64.16063077472049, 63.84142365643827, 63.523804633271894, 63.20776580425069, 62.89329930771218, 62.580397321106624, 62.26905206080259, 61.95925578189318, 61.65100077800321, 61.3442793810977, 61.039083961291226, 60.73540692665798, 60.433240723042815, 60.13257783387343, 59.83341077997354, 59.5357321193767, 59.23953444714105, 58.9448103951652, 58.651552632005156, 58.35975386269175, 58.06940682854904, 57.780504307013956, 57.49303911145665, 57.20700409100169, 56.922392130349984, 56.63919614960196, 56.35740910408153, 56.077023984160775, 55.79803381508539, 55.520431656801364, 55.244210603782435, 54.96936378485819, 54.695884363043014, 54.423765535366165, 54.153000532702634, 53.88358261960465, 53.61550509413402, 53.34876128769553, 53.08334456487116, 52.819248323254925, 52.55646599328852, 52.29499103809802, 52.034816953331344, 51.7759372669964, 51.51834553929994, 51.26203536248749, 51.00700036068405, 50.753234189735416, 50.5007305370502, 50.24948312144297, 49.99948569297807, 49.750732032814035, 49.50321595304883, 49.25693129656599, 49.01187193688156, 48.768031777991645, 48.525404754220574, 48.28398483007021, 48.04376600006985, 47.80474228862675, 47.5669077498774, 47.330256467539684, 47.09478255476584, 46.8604801539959, 46.62734343681188, 46.395366603792894, 46.16454388437103, 45.93486953668763, 45.706337847450406, 45.47894313179144, 45.252679733125795, 45.027542023010774, 44.80352440100578, 44.5806212945331, 44.358827158739395, 44.13813647635764, 43.91854375756982, 43.70004353987046, 43.48263038793079, 43.26629889346351, 43.051043675088096, 42.8368593781971, 42.623740674822976, 42.411682263505476, 42.20067886915971, 41.990725242944976, 41.78181616213429, 41.573946429984396, 41.3671108756064, 41.1613043538372, 40.95652174511163, 40.752757955334985, 40.55000791575623, 40.348266582842015, 40.14752893815125, 39.947789988210225, 39.749044764388316, 39.55128832277443, 39.35451574405415, 39.15872213338724, 38.96390262028584, 38.770052358493366, 38.57716652586403, 38.385240324242844, 38.19426897934614, 38.00424774064292, 37.81517188123672, 37.62703669774801, 37.43983751019706, 37.25356966188761, 37.06822851929114, 36.883809471931514, 36.700307932270185, 36.51771933559222, 36.33603913989274, 36.15526282576395, 35.97538589628256, 35.79640387689806, 35.61831231532145, 35.4411067814144, 35.264782867079035, 35.08933618614828, 34.91476237427688, 34.74105708883275, 34.56821600878883, 34.39623483461574, 34.225109288174856, 34.054835112611826, 33.8854080722506, 33.71682395248815, 33.54907855968969, 33.38216772108429, 33.21608728466101, 33.05083311906567, 32.886401113498174, 32.722787177610144, 32.55998724140316, 32.39799725512751, 32.23681318918159, 32.076431034011556, 31.916846800011523, 31.758056517424393, 31.60005623624317, 31.44284202611263, 31.286409976231496, 31.13075619525521, 30.975876811199207, 30.821767971342517, 30.668425842131878, 30.515846609086438, 30.364026476702914, 30.21296166836113, 30.062648426230005, 29.913083011174127, 29.764261702660814, 29.616180798667497, 29.46883661558957, 29.32222548814882, 29.1763437693023, 29.031187830151563, 28.886754059852322, 28.743038865524692, 28.600038672163866, 28.45774992255113, 28.316169077165323, 28.175292614094843, 28.035117028950083, 27.895638834776225, 27.756854561966414, 27.618760758175526, 27.481353988234346, 27.34463083406405, 27.208587894591112, 27.073221785662792, 26.93852913996297, 26.804506606928346, 26.671150852665043, 26.538458559865706, 26.406426427727062, 26.275051171867744, 26.14432952424653, 26.01425823308112, 25.884834062767275, 25.7560537937983, 25.627914222684897, 25.500412161875513, 25.37354443967712, 25.247307900176256, 25.121699403160473, 24.996715824040265, 24.8723540537714, 24.748610998777533, 24.625483580873183, 24.502968737187242, 24.3810634200868, 24.259764597101313, 24.139069250847093, 24.018974378952326, 23.899476993982407, 23.780574123365597, 23.66226280931902, 23.544540108775138, 23.427403093308588, 23.310848849063287, 23.194874476679907, 23.07947709122378, 22.96465382211321, 22.850401813047984, 22.73671822193831, 22.623600220834135, 22.511044995854853, 22.399049747119275, 22.28761168867591, 22.176728048433734, 22.066396068093262, 21.95661300307789, 21.84737612246558, 21.73868270892097, 21.630530058627823, 21.52291548122173, 21.41583629972313, 21.30928985047077, 21.203273483055487, 21.097784560254233, 20.992820457964424, 20.888378565138726, 20.784456283720118, 20.681051028577247, 20.578160227440062, 20.47578132083588, 20.373911762025745, 20.272549016941053, 20.171690564120468, 20.071333894647225, 19.971476512086785, 19.872115932424677, 19.773249684004668, 19.674875307467325, 19.576990355688874, 19.47959239372029, 19.38267899872667, 19.28624775992703, 19.19029627853435, 19.094822167695888, 18.999823052433733, 18.905296569585797, 18.811240367747057, 18.717652107211016, 18.62452945991147, 18.531870109364643, 18.43967175061158, 18.347932090160793, 18.25664884593115, 18.16581974719517, 18.07544253452255, 17.985514959723943, 17.89603478579498, 17.806999786860676, 17.718407748120068, 17.630256465791128, 17.54254374705586, 17.455267410005828, 17.368425283587882, 17.282015207550145, 17.196035032388217, 17.11048261929175, 17.02535584009129, 16.940652577205277, 16.856370723587354, 16.772508182673977, 16.68906286833231, 16.606032704808282, 16.52341562667492, 16.441209578781013, 16.359412516200006, 16.278022404179122, 16.197037218088692, 16.116454943371828, 16.036273575494352, 15.95649111989489, 15.877105591935225, 15.798115016850966, 15.71951742970245, 15.641310875325832, 15.56349340828442, 15.486063092820315, 15.40901800280628, 15.332356221697802, 15.256075842485387, 15.180174967647146, 15.104651709101635, 15.02950418816084, 14.954730535483435, 14.88032889102829, 14.806297404008244, 14.732634232844035, 14.659337545118454, 14.586405517530796, 14.513836335851535, 14.44162819487716, 14.369779298385243, 14.29828785908979, 14.227152098596802, 14.156370247360012, 14.08594054463684, 14.015861238444613, 13.946130585517023, 13.87674685126073, 13.80770830971218, 13.739013243494702, 13.670659943775819, 13.602646710224706, 13.534971850969866, 13.467633682557077, 13.400630529907536, 13.333960726276164, 13.267622613210124, 13.201614540507583, 13.135934866176695, 13.070581956394731, 13.005554185467403, 12.940849935788458, 12.876467597799458, 12.812405569949718, 12.748662258656445, 12.685236078265117, 12.622125451010062, 12.559328806975195, 12.49684458405493, 12.43467122791535, 12.37280719195557, 12.311250937269232, 12.25000093260621, 12.189055654334535, 12.128413586402518, 12.068073220301022, 12.008033055025901, 11.948291597040694, 11.888847360239494, 11.829698865909952, 11.77084464269648, 11.712283226563658, 11.654013160759854, 11.59603299578096, 11.538341289334296, 11.480936606302778, 11.42381751870923, 11.366982605680834, 11.310430453413773, 11.25415965513808, 11.198168811082663, 11.14245652844047, 11.087021421333809, 11.031862110779906, 10.97697722465662, 10.922365397668287, 10.868025271311735, 10.81395549384252, 10.76015472024131, 10.706621612180417, 10.653354837990472, 10.600353072627332, 10.547614997639133, 10.495139301133474, 10.442924677744758, 10.390969828601747, 10.339273461295267, 10.287834289846044, 10.23665103467269, 10.185722422559886, 10.13504718662675, 10.084624066295282, 10.034451807258995, 9.984529161451732, 9.934854887016646, 9.885427748275278, 9.8362465156968, 9.787309965867461, 9.738616881460157, 9.690166051204143, 9.641956269854877, 9.593986338164054, 9.546255062849802, 9.498761256566974, 9.451503737877593, 9.404481331221483, 9.357692866887046, 9.311137180982142, 9.264813115405122, 9.218719517816039, 9.172855241607998, 9.12721914587861, 9.08181009540161, 9.036626960598614, 8.991668617511056, 8.946933947772202, 8.902421838579313, 8.85813118266598, 8.814060878274605, 8.770209829128966, 8.726576944406938, 8.683161138713368, 8.639961332053101, 8.596976449804087, 8.55420542269064, 8.511647186756854, 8.46930068334015, 8.427164859044932, 8.385238665716356, 8.343521060414282, 8.302011005387342, 8.260707468047114, 8.219609420942408, 8.178715841733737, 8.138025713167895, 8.097538023052637, 8.057251764231486, 8.01716593455869, 7.977279536874317, 7.937591578979426, 7.898101073611375, 7.858807038419276, 7.819708495939576, 7.780804473571723, 7.74209400355396, 7.7035761229392605, 7.665249873571402, 7.627114302061102, 7.589168459762297, 7.551411402748551, 7.513842191789601, 7.476459892327967, 7.439263574455694, 7.402252312891235, 7.365425186956451, 7.328781280553688, 7.2923196821429785, 7.25603948471938, 7.219939785790426, 7.184019687353663, 7.148278295874297, 7.11271472226298, 7.077328081853709, 7.042117494381806, 7.0070820839620005, 6.972220979066665, 6.937533312504143, 6.903018221397162, 6.86867484716136, 6.834502335483939, 6.800499836302425, 6.7666665037835125, 6.733001496302007, 6.699503976419906, 6.666173110865576, 6.633008070513016, 6.600008030361215, 6.567172169513645, 6.534499671157854, 6.501989722545133, 6.469641514970286, 6.437454243751527, 6.405427108210473, 6.373559311652216, 6.341850061345494, 6.310298568502977, 6.2789040482616665, 6.247665719663355, 6.216582805635183, 6.1856545329703305, 6.154880132308785, 6.124258838118198, 6.093789888674828, 6.063472526044603, 6.03330599606428, 6.003289548322671, 5.973422436141966, 5.943703916559169, 5.914133250307629, 5.8847097017986405, 5.855432539103129, 5.82630103393346, 5.797314461625332, 5.7684721011197375, 5.739773234945017, 5.71121714919902, 5.682803133531362, 5.654530481125737, 5.626398488682329, 5.598406456400326, 5.570553687960522, 5.542839490507986, 5.515263174634816, 5.487824054363, 5.460521447127362, 5.433354673758573, 5.406323058466246, 5.379425928822133, 5.352662615743415, 5.326032453476039, 5.299534779578152, 5.273168934903632, 5.246934263585702, 5.220830113020603, 5.19485583385135, 5.1690107799515905, 5.1432943084095415, 5.117705779511986, 5.092244556728348, 5.066910006694871, 5.041701499198876, 5.016618407163064, 4.991660106629916, 4.966825976746186, 4.94211539974745, 4.917527760942738, 4.893062448699243, 4.868718854427108, 4.844496372564287, 4.820394400561481, 4.796412338867147, 4.772549590912585, 4.7488055630971004, 4.725179664773235, 4.7016713082320765, 4.678279908688634, 4.655004884267298, 4.631845655987363, 4.608801647748621, 4.585872286317037, 4.563057001310486, 4.540355225184563, 4.517766393218472, 4.4952899435009686, 4.472925316916387, 4.450671957130735, 4.428529310577847, 4.40649682644562, 4.384573956662309, 4.362760155882896, 4.341054881475519, 4.31945759350798, 4.29796775473431, 4.276584830581403, 4.255308289135726, 4.234137601130077, 4.213072239930425, 4.192111681522812, 4.171255404500312, 4.1505028900500625, 4.129853621940362, 4.109307086507823, 4.088862772644601, 4.068520171785674, 4.048278777896194, 4.028138087458901, 4.0080975994615935, 3.988156815384671, 3.9683152391887284, 3.948572377302218, 3.928927738609173, 3.909380834436989, 3.8899311785442685, 3.8705782871087258, 3.851321678715151, 3.832160874343435, 3.8130953973566526, 3.7941247734892074, 3.7752485308350328, 3.7564661998358546, 3.737777313269508, 3.719181406238317, 3.7006780161575303, 3.682266682743812, 3.6639469480037943, 3.6457183562226816, 3.627580453952918, 3.609532790002904, 3.591574915425776, 3.573706383508236, 3.5559267497594393, 3.5382355718999405, 3.520632409850688, 3.503116825722078, 3.4856883838030637, 3.468346650550313, 3.4510911945774265, 3.4339215866442063, 3.4168373996459773, 3.3998382086029633, 3.3829235906497157, 3.366093125024593, 3.3493463930592977, 3.332682978168456, 3.3161024658392604, 3.299604443621156, 3.2831885011155784, 3.2668542299657504, 3.2506012238465187, 3.234429078454248, 3.2183373914967652, 3.202325762683349, 3.186393793714776, 3.1705410882734095, 3.1547672520133436, 3.1390718925505916, 3.1234546194533257, 3.1079150442321652, 3.0924527803305137, 3.0770674431149394, 3.061758649865612, 3.046526019766779, 3.031369173897293, 3.016287735221188, 3.001281328578297, 2.9863495806749234, 2.971492120074551, 2.956708577188609, 2.941998584267273, 2.9273617753903225, 2.912797786458033, 2.898306255182123, 2.88388682107674, 2.869539125449493, 2.855262811392531, 2.8410575237736633, 2.8269229092275263, 2.812858616146793, 2.7988642946734266, 2.7849395966899775, 2.7710841758109233, 2.7572976873740536, 2.743579788431895, 2.7299301377431795, 2.7163483957643586, 2.7028342246411534, 2.689387288200153, 2.6760072519404514, 2.6626937830253254, 2.6494465502739564, 2.636265224153191, 2.623149476769345, 2.6100989818600455, 2.5971134147861155, 2.5841924525234985, 2.571335773655223, 2.5585430583634063, 2.5458139884213007, 2.533148247185374, 2.5205455195874378, 2.5080054921268045, 2.4955278528624922, 2.4831122914054657, 2.4707584989109117, 2.4584661680705593, 2.4462349931050347, 2.4340646697562542, 2.4219548952798555, 2.4099053684376677, 2.397915789490217, 2.385985860189271, 2.37411528377042, 2.362303764945692, 2.3505510098962112, 2.3388567262648876, 2.327220623149142, 2.3156424110936746, 2.304121802083259, 2.292658509535581, 2.2812522482941113, 2.269902734621007, 2.258609686190057, 2.2473728220796594, 2.2361918627658306, 2.225066530115255, 2.2139965473783634, 2.2029816391824517, 2.192021531524828, 2.1811159517659986, 2.170264628622885, 2.159467292162075, 2.1487236737931097, 2.1380335062618014, 2.127396523643584, 2.1168124613368997, 2.106281056056617, 2.0958020458274804, 2.085375169977593, 2.0750001691319335, 2.0646767852059047, 2.0544047613989105, 2.0441838421879712, 2.034013773321365, 2.023894301812304, 2.013825175932641, 2.0038061452066085, 1.993836960404586, 1.983917373536902, 1.974047137847664, 1.9642260078086216, 1.9544537391130568, 1.9447300886697085, 1.9350548145967255, 1.9254276762156477, 1.915848434045421, 1.9063168497964391, 1.8968326863646165, 1.8873957078254895, 1.8780056794283482, 1.8686623675903966, 1.8593655398909423, 1.8501149650656148, 1.8409104130006122, 1.8317516547269777, 1.8226384624149037, 1.8135706093680637, 1.8045478700179742, 1.7955700199183828, 1.7866368357396847, 1.7777480952633684, 1.7689035773764863, 1.760103062066156, 1.751346330414086, 1.7426331645911306, 1.7339633478518717, 1.725336664529226, 1.7167529000290809, 1.7082118408249565, 1.6997132744526935, 1.6912569895051681, 1.6828427756270332, 1.6744704235094863, 1.6661397248850613, 1.6578504725224494, 1.649602460221343, 1.641395482807307, 1.633229336126674, 1.6251038170414671, 1.6170187234243456, 1.608973854153578, 1.6009690091080384, 1.5930039891622276, 1.5850785961813214, 1.5771926330162405, 1.5693459034987471, 1.5615382124365647, 1.5537693656085225, 1.5460391697597242, 1.5383474325967408, 1.530693962782827, 1.5230785699331615, 1.5155010646101115, 1.5079612583185191, 1.5004589635010144, 1.492993993533348, 1.4855661627197496, 1.4781752862883084, 1.4708211803863769, 1.4635036620759971, 1.4562225493293508, 1.44897766102423, 1.4417688169395326, 1.434595837750779, 1.4274585450256512, 1.4203567612195538, 1.4132903096711982, 1.4062590145982075, 1.399262701092744, 1.3923011951171584, 1.3853743234996605, 1.3784819139300108, 1.371623794955235, 1.3647997959753584, 1.358009747239163, 1.3512534798399634, 1.3445308257114068, 1.3378416176232906, 1.3311856891774039, 1.3245628748033873, 1.3179730097546145, 1.3114159301040944, 1.3048914727403926, 1.298399475363575, 1.2919397764811695, 1.2855122154041492, 1.2791166322429348, 1.272752867903418, 1.2664207640830032, 1.26012016326667, 1.2538509087230552, 1.2476128445005528, 1.2414058154234358, 1.235229667087996, 1.2290842458587028, 1.2229693988643813, 1.2168849739944094, 1.2108308198949351, 1.20480678596511, 1.1988127223533434, 1.192848479953576, 1.1869139104015682, 1.1810088660712124, 1.1751332000708585, 1.1692867662396604, 1.163469419143941, 1.1576810140735734, 1.1519214070383816, 1.1461904547645592, 1.1404880146911038, 1.1348139449662729, 1.129168104444053, 1.1235503526806498, 1.117960549930995, 1.112398557145269, 1.1068642359654421, 1.1013574487218332, 1.095878058429685, 1.0904259287857565, 1.085000924164932, 1.079602909616848, 1.0742317508625356, 1.0688873142910804, 1.0635694669562992, 1.0582780765734323, 1.0530130115158534, 1.0477741408117947, 1.0425613341410893, 1.03737446183193, 1.032213394857642, 1.027078004833475, 1.0219681640134082, 1.0168837452869735, 1.0118246221760931, 1.0067906688319337, 1.001781760031775, 0.9967977711758959, 0.9918385782844737, 0.9869040579945014, 0.9819940875567181, 0.9771085448325556, 0.9722473082911003, 0.9674102570060702, 0.9625972706528063, 0.9578082295052802, 0.9530430144331148, 0.9483015068986219, 0.9435835889538529, 0.9388891432376648, 0.934218052972801, 0.9295702019629862, 0.9249454745900363, 0.9203437558109816, 0.9157649311552059, 0.911208886721598, 0.9066755091757196, 0.9021646857469849, 0.8976763042258559, 0.8932102529610508, 0.8887664208567672, 0.8843446973699178, 0.8799449725073811, 0.8755671368232649, 0.8712110814161842, 0.8668766979265516, 0.8625638785338825, 0.8582725159541121, 0.8540025034369276, 0.8497537347631123, 0.845526104241903, 0.8413195067083614, 0.8371338375207578, 0.8329689925579682, 0.828824868216884, 0.824701361409835, 0.820598369562025, 0.8165157906089803, 0.8124535229940104, 0.8084114656656822, 0.8043895180753059, 0.8003875801744339, 0.7964055524123722, 0.7924433357337038, 0.788500831575825, 0.7845779418664927, 0.7806745690213859, 0.7767906159416776, 0.7729259860116198, 0.7690805830961392, 0.7652543115384471, 0.761447076157659, 0.7576587822464271, 0.7538893355685844, 0.7501386423568005, 0.7464066093102495, 0.7426931435922882, 0.7389981528281476, 0.7353215451026346, 0.7316632289578455, 0.7280231133908913, 0.7244011078516333, 0.7207971222404314, 0.717211066905902, 0.7136428526426887, 0.7100923906892427, 0.7065595927256147, 0.7030443708712586, 0.6995466376828445, 0.6960663061520843, 0.6926032897035665, 0.6891575021926037, 0.6857288579030885, 0.6823172715453618, 0.6789226582540915, 0.6755449335861609, 0.6721840135185682, 0.6688398144463367, 0.6655122531804346, 0.6622012469457063, 0.6589067133788123, 0.6556285705261816, 0.6523667368419719, 0.6491211311860419, 0.6458916728219323, 0.6426782814148582, 0.6394808770297098, 0.6362993801290646, 0.6331337115712087, 0.6299837926081681, 0.6268495448837494, 0.6237308904315916, 0.6206277516732256, 0.617540051416145, 0.6144677128518857, 0.6114106595541153, 0.6083688154767318, 0.605342104951972, 0.6023304526885296, 0.5993337837696813, 0.5963520236514244, 0.5933850981606213, 0.5904329334931557, 0.5874954562120953, 0.5845725932458662, 0.5816642718864341, 0.5787704197874968, 0.5758909649626835, 0.5730258357837648, 0.5701749609788705, 0.5673382696307171, 0.564515691174843, 0.5617071553978539, 0.5589125924356757, 0.5561319327718167, 0.5533651072356387, 0.5506120470006356, 0.5478726835827221, 0.5451469488385295, 0.5424347749637112, 0.539736094491255, 0.5370508402898061, 0.5343789455619963, 0.5317203438427824, 0.5290749689977936, 0.5264427552216853, 0.5238236370365029, 0.5212175492900528, 0.5186244271542815, 0.5160442061236633, 0.5134768220135955, 0.5109222109588015, 0.508380309411743, 0.5058510541410379, 0.5033343822298886, 0.5008302310745161, 0.49833853838260317, 0.4958592421717446, 0.49339228076790514, 0.4909375928038859, 0.488495117217797, 0.4860647932515394, 0.48364656044929305, 0.4812403586560131, 0.4788461280159335, 0.47646380897107826, 0.47409334225977945, 0.47173466891520355, 0.46938773026388425, 0.467052467924263, 0.46472882380523695, 0.4624167401047135, 0.46011615930817273, 0.4578270241872367, 0.45554927779824556, 0.45328286348084146, 0.4510277248565588, 0.4487838058274218, 0.44655105057454914, 0.44432940355676537, 0.4421188095092194, 0.43991921344200946, 0.4377305606388155, 0.43555279665553787, 0.4333858673189433, 0.4312297187253168, 0.4290842972391213, 0.4269495494916631, 0.42482542237976434, 0.42271186306444225, 0.42060881896959434, 0.418516237780691, 0.4164340674434737, 0.41436225616266054, 0.41230075240065733, 0.41024950487627604, 0.40820846256345883, 0.4061775746900089, 0.4041567907363274, 0.4021460604341567, 0.4001453337653301, 0.39815456096052754, 0.39617369249803747, 0.39420267910252493, 0.39224147174380597, 0.3902900216356279, 0.3883482802344558, 0.38641619923826453, 0.3844937305853379, 0.3825808264530727, 0.3806774392567888, 0.3787835216485462, 0.3768990265159664, 0.3750239069810612, 0.37315811639906593, 0.37130160835727966, 0.36945433667391014, 0.3676162553969256, 0.36578731880291115, 0.3639674813959316, 0.36215669790639965, 0.36035492328995, 0.3585621127263185, 0.3567782216182274, 0.35500320559027615, 0.35323702048783706, 0.3514796223759573, 0.3497309675382661, 0.3479910124758867, 0.346259713906355, 0.3445370287625424, 0.34282291419158456, 0.3411173275538156, 0.3394202264217071, 0.33773156857881315, 0.33605131201871963, 0.3343794149439997, 0.3327158357651739, 0.3310605330996756, 0.32941346577082153, 0.32777459280678767, 0.32614387343958984, 0.32452126710406953, 0.3229067334368852, 0.32130023227550775, 0.3197017236572217, 0.3181111678181311, 0.31652852519217034, 0.3149537564101198, 0.31338682229862674, 0.31182768387923065, 0.3102763023673938, 0.30873263917153615, 0.30719665589207584, 0.3056683143204736, 0.3041475764382822, 0.30263440441620126, 0.3011287606131357, 0.29963060757525944, 0.2981399080350841, 0.2966566249105315, 0.2951807213040115, 0.29371216050150406, 0.2922509059716459, 0.2907969213648219, 0.28935017051226064, 0.287910617425135, 0.28647822629366676, 0.28505296148623566, 0.28363478754849325, 0.28222366920248093, 0.2808195713457522, 0.2794224590504998, 0.2780322975626864, 0.2766490523011806, 0.27527268885689615, 0.2739031729919365, 0.27254047063874287, 0.27118454789924673, 0.26983537104402666, 0.26849290651146934, 0.2671571209069347, 0.2658279810019252, 0.26450545373325896, 0.2631895062022478, 0.2618801056738784, 0.2605772195759985, 0.259280815498506, 0.2579908611925434, 0.256707324569695, 0.2554301737011891, 0.2541593768171036, 0.2528949023055758, 0.25163671871201576, 0.2503847947383242, 0.2491390992421137, 0.2478996012359341, 0.24666626988650164, 0.24543907451393204, 0.2442179845909772, 0.24300296974226593, 0.24179399974354826, 0.2405910445209436, 0.23939407415019268, 0.23820305885591317, 0.23701796901085892, 0.23583877513518306, 0.2346654478957046, 0.23349795810517876, 0.23233627672157095, 0.23118037484733434, 0.23003022372869095, 0.2288857947549164, 0.22774705945762833, 0.226613989510078, 0.22548655672644582, 0.22436473306114016, 0.2232484906080997, 0.22213780160009927, 0.22103263840805903, 0.2199329735403573, 0.21883877964214662, 0.2177500294946733, 0.21666669601460034, 0.21558875225333374, 0.214516171396352, 0.21344892676253938, 0.2123869918035218, 0.21133034010300683, 0.21027894537612624, 0.20923278146878238, 0.20819182235699743, 0.20715604214626615, 0.20612541507091164, 0.20509991549344447, 0.2040795179039249, 0.2030641969193283, 0.20205392728291377, 0.20104868386359584, 0.2000484416553193, 0.19905317577643716, 0.19806286146909174, 0.1970774740985988, 0.19609698915283466, 0.1951213822416266, 0.1941506290961459, 0.19318470556830442, 0.1922235876301537, 0.19126725137328732, 0.19031567300824612, 0.18936882886392653, 0.1884266953869916, 0.18748924914128523, 0.18655646680724902, 0.18562832518134237, 0.1847048011754651, 0.1837858718163832, 0.18287151424515746, 0.18196170571657463, 0.18105642359858176, 0.18015564537172318, 0.17925934862858034, 0.1783675110732143, 0.17748011052061127, 0.17659712489613066, 0.17571853223495593, 0.17484431068154824, 0.17397443848910277, 0.17310889401900775, 0.17224765574030626, 0.1713907022291605, 0.17053801216831896, 0.16968956434658605, 0.16884533765829463, 0.16800531110278077, 0.1671694637838615, 0.16633777490931495, 0.16551022379036318, 0.16468678984115742, 0.16386745257826613, 0.16305219162016535, 0.16224098668673173, 0.16143381759873807, 0.16063066427735137, 0.15983150674363322, 0.15903632511804305, 0.15824509961994337, 0.15745781056710786, 0.15667443837523173, 0.15589496355744456, 0.15511936672382548, 0.1543476285809209, 0.15357972993126462, 0.15281565167290015, 0.15205537479890566, 0.15129888039692108, 0.15054614964867774, 0.14979716382953012, 0.1490519043079902, 0.14831035254526392, 0.14757249009479, 0.14683829860178113, 0.14610775980276733, 0.14538085552514166, 0.14465756768670815, 0.14393787829523202, 0.1432217694479921, 0.14250922333133545, 0.1418002222202343, 0.14109474847784512, 0.1403927845550698, 0.13969431299011922, 0.13899931640807886, 0.13830777752047652, 0.1376196791248523, 0.13693500410433068, 0.13625373542719474, 0.13557585614646245, 0.13490134939946516, 0.13423019840742803, 0.1335623864750528, 0.13289789699010232, 0.13223671342298743, 0.13157881932635568, 0.1309241983346823, 0.130272834163863, 0.129624710610809, 0.1289798115530438, 0.12833812094830233, 0.1276996228341317, 0.12706430132749424, 0.1264321406243724, 0.12580312499937557, 0.12517723880534887, 0.12455446647298396, 0.12393479251043184, 0.12331820150291728, 0.12270467811235553, 0.1220942070769707, 0.12148677321091615, 0.1208823614038967, 0.12028095662079276, 0.11968254390128635, 0.11908710835948894, 0.1184946351835711, 0.11790510963539416, 0.11731851705014348, 0.11673484283596369, 0.11615407247359573, 0.11557619151601568, 0.11500118558807533, 0.11442904038614464, 0.11385974167775588, 0.11329327530124966, 0.11272962716542258, 0.11216878324917672, 0.11161072960117088, 0.11105545233947355, 0.11050293765121748, 0.10995317179225624, 0.10940614108682215, 0.10886183192718624, 0.10832023077331966, 0.10778132415255691, 0.10724509865926063, 0.1067115409544882, 0.10618063776565993, 0.10565237588622882, 0.10512674217535208, 0.10460372355756428, 0.10408330702245205, 0.10356547962433042, 0.10305022848192084, 0.1025375407780307, 0.10202740375923457, 0.1015198047355568, 0.10101473108015604, 0.10051217022901102, 0.10001210968060799, 0.09951453699562987, 0.09901943979664665, 0.09852680576780765, 0.09803662265453499, 0.09754887826321892, 0.09706356046091437, 0.09658065717503919, 0.09610015639307384, 0.09562204616226255, 0.095146314589316, 0.09467294984011544, 0.09420194013941838, 0.09373327377056558, 0.09326693907518964, 0.09280292445292504, 0.09234121836111947, 0.09188180931454676, 0.09142468588512116, 0.09096983670161313, 0.09051725044936632, 0.09006691587001625, 0.08961882176121022, 0.0891729569763286, 0.08872931042420758, 0.08828787106886328, 0.08784862792921722, 0.08741157007882312, 0.08697668664559517, 0.0865439668115375, 0.08611339981247515, 0.08568497493778623, 0.08525868153013558, 0.08483450898520956, 0.0844124467514523, 0.08399248432980332, 0.08357461127343616, 0.08315881718749868, 0.08274509172885443, 0.08233342460582531, 0.08192380557793566, 0.08151622445565739, 0.08111067110015663, 0.08070713542304143, 0.0803056073861109, 0.07990607700110539, 0.07950853432945812, 0.07911296948204789, 0.07871937261895315, 0.07832773394920713, 0.07793804373055438, 0.07755029226920836, 0.07716446991961032, 0.07678056708418939, 0.0763985742131238, 0.0760184818041033, 0.07564028040209285, 0.07526396059909737, 0.07488951303392775, 0.07451692839196793, 0.07414619740494323, 0.0737773108506898, 0.0734102595529252, 0.07304503438102011, 0.07268162624977127, 0.07232002611917542, 0.0719602249942044, 0.07160221392458152, 0.07124598400455874, 0.07089152637269527, 0.0705388322116371, 0.07018789274789763, 0.06983869925163945, 0.06949124303645718, 0.0691455154591614, 0.06880150791956359, 0.0684592118602623, 0.06811861876643016, 0.06777972016560217, 0.06744250762746486, 0.06710697276364665, 0.06677310722750911, 0.06644090271393943, 0.06611035095914372, 0.06578144374044154, 0.06545417287606124, 0.06512853022493657, 0.06480450768650407, 0.06448209720050158, 0.06416129074676775, 0.06384208034504256, 0.06352445805476872, 0.06320841597489427, 0.0628939462436759, 0.0625810410384835, 0.06226969257560549, 0.061959893110055224, 0.06165163493537835, 0.06134491038346106, 0.06103971182433938, 0.06073603166600934, 0.060433862354238164, 0.060133196372376296, 0.05983402624117046, 0.05953634451857759, 0.0592401437995797, 0.05894541671599972, 0.05865215593631814, 0.0583603541654907, 0.05807000414476688, 0.05778109865150934, 0.057493630499014285, 0.05720759253633264, 0.05692297764809219, 0.0566397787543206, 0.056357988810269266, 0.05607760080623809, 0.055798607767401094, 0.05552100275363295, 0.05524477885933628, 0.05496992921326994, 0.05469644697837806, 0.05442432535161997, 0.05415355756380098, 0.05388413687940397, 0.05361605659642188, 0.05334931004619094, 0.053083890593224825, 0.05281979163504959, 0.0525570066020394, 0.05229552895725315, 0.052035352196271804, 0.051776469847036634, 0.051518875469688204, 0.051262562656406184, 0.051007525031249945, 0.050753756249999955, 0.05050124999999997, 0.05024999999999998, 0.049999999999999996], "fnujy": [3.305949844661516e-06, 3.323740906204786e-06, 3.3813193119997187e-06, 3.439894594073432e-06, 3.4994839987884774e-06, 3.560105070586315e-06, 3.6217756571329193e-06, 3.68451391455238e-06, 3.7483383127513756e-06, 3.813267640835164e-06, 3.8793210126166695e-06, 3.946517872221241e-06, 4.014877999786529e-06, 4.084421517262453e-06, 4.1551688943094725e-06, 4.227140954299632e-06, 4.300358880419927e-06, 4.374844221881747e-06, 4.450618900237021e-06, 4.527705215802776e-06, 4.606125854196603e-06, 4.685903892985038e-06, 4.767062808445953e-06, 4.849626482447334e-06, 4.933619209445459e-06, 5.019065703602232e-06, 5.105991106026181e-06, 5.194420992137704e-06, 5.284381379161124e-06, 5.375898733745425e-06, 5.468999979717432e-06, 5.563712505967093e-06, 5.6600641744688625e-06, 5.758083328441781e-06, 5.857798800649583e-06, 5.9592399218435626e-06, 6.062436529350648e-06, 6.167418975810568e-06, 6.274218138061422e-06, 6.382865426179461e-06, 6.493392792674658e-06, 6.605832741843578e-06, 6.720218339283722e-06, 6.8365832215715845e-06, 6.95496160610752e-06, 7.07538830112927e-06, 7.197898715898759e-06, 7.322528871062889e-06, 7.449315409194206e-06, 7.578295605511381e-06, 7.709507378785074e-06, 7.842989302431053e-06, 7.978780615794092e-06, 8.116921235626103e-06, 8.25745176776195e-06, 8.400413518994982e-06, 8.54584850915859e-06, 8.693799483413709e-06, 8.844309924749276e-06, 8.997424066695673e-06, 9.153186906259254e-06, 9.311644217077105e-06, 9.472842562799177e-06, 9.636829310699637e-06, 9.80365264552359e-06, 9.97336158357049e-06, 1.0146005987020154e-05, 1.0321636578504904e-05, 1.0500304955932591e-05, 1.0682063607563949e-05, 1.0866965927349498e-05, 1.1055066230528982e-05, 1.1246419769500896e-05, 1.1441082749962284e-05, 1.1639112347327767e-05, 1.184056672342993e-05, 1.20455050435059e-05, 1.2253987493478404e-05, 1.2466075297529951e-05, 1.268183073598156e-05, 1.2901317163478783e-05, 1.3124599027487126e-05, 1.3351741887109908e-05, 1.3582812432224324e-05, 1.381787850294958e-05, 1.405700910944852e-05, 1.4300274452068174e-05, 1.4547745941827772e-05, 1.4799496221257195e-05, 1.5055599185594779e-05, 1.5316130004346203e-05, 1.55811651432179e-05, 1.5850782386421846e-05, 1.612506085936823e-05, 1.6404081051743497e-05, 1.668792484098674e-05, 1.6976675516169472e-05, 1.7270417802282262e-05, 1.756923788494216e-05, 1.787322343552123e-05, 1.8182463636706348e-05, 1.849704920850002e-05, 1.881707243466346e-05, 1.9142627189618248e-05, 1.9473808965803546e-05, 1.981071490150721e-05, 2.0153443809173434e-05, 2.0502096204194274e-05, 2.085677433419539e-05, 2.121758220882663e-05, 2.1584625630058897e-05, 2.1958012223005156e-05, 2.233785146726637e-05, 2.272425472881647e-05, 2.311733529243529e-05, 2.3517208394693377e-05, 2.392399125750675e-05, 2.4337803122264667e-05, 2.4758765284542397e-05, 2.5187001129407624e-05, 2.5622636167336034e-05, 2.606579807073816e-05, 2.6516616711112955e-05, 2.6975224196840778e-05, 2.7441754911618884e-05, 2.791634555356147e-05, 2.8399135174963837e-05, 2.8890265222751757e-05, 2.9389879579619988e-05, 2.9898124605880526e-05, 3.0415149182022034e-05, 3.0941104752002124e-05, 3.147614536727617e-05, 3.202042773158914e-05, 3.257411124652251e-05, 3.313735805782975e-05, 3.371033310256166e-05, 3.429320415699901e-05, 3.488614188540518e-05, 3.548931988961315e-05, 3.6102914759460516e-05, 3.6727106124090936e-05, 3.7362076704128975e-05, 3.800801236475021e-05, 3.866510216965818e-05, 3.9333538435987525e-05, 4.0013516790138784e-05, 4.07052362245816e-05, 4.140889915561277e-05, 4.21247114821179e-05, 4.2852882645326425e-05, 4.359362568959206e-05, 4.434715732421931e-05, 4.511369798633392e-05, 4.589347190483822e-05, 4.668670716545895e-05, 4.749363577689892e-05, 4.8314493738131175e-05, 4.914952110683322e-05, 4.99989620689966e-05, 5.0863065009723025e-05, 5.174208258523142e-05, 5.263627179609431e-05, 5.3545894061729385e-05, 5.447121529615298e-05, 5.541250598504194e-05, 5.637004126410326e-05, 5.7344100998775293e-05, 5.8334969865307776e-05, 5.934293743321038e-05, 6.036829824911757e-05, 6.14113519220838e-05, 6.247240321032574e-05, 6.355176210946369e-05, 6.464974394224934e-05, 6.576666944983923e-05, 6.690286488461914e-05, 6.805866210460907e-05, 6.923439866949125e-05, 7.043041793825929e-05, 7.164706916854988e-05, 7.288470761765717e-05, 7.414369464527743e-05, 7.542439781799434e-05, 7.672719101556488e-05, 7.805245453900048e-05, 7.940057522049693e-05, 8.077194653524023e-05, 8.216696871511626e-05, 8.358604886435765e-05, 8.502960107716768e-05, 8.64980465573312e-05, 8.79918137398966e-05, 8.951133841488934e-05, 9.105706385316771e-05, 9.262944093440536e-05, 9.422892827725791e-05, 9.585599237174291e-05, 9.751110771388329e-05, 9.919475694263436e-05, 0.00010090743097914164, 0.00010264962916838324, 0.00010442185942319797, 0.00010622463837080354, 0.0001080584915017549, 0.00010992395332149766, 0.00011182156750445044, 0.00011375188705073324, 0.0001157154744455675, 0.00011771290182136224, 0.00011974475112258665, 0.00012181161427342183, 0.00012391409334828245, 0.00012605280074522363, 0.00012822835936230598, 0.0001304414027769565, 0.00013269257542836808, 0.00013498253280301822, 0.00013731194162332073, 0.0001396814800394988, 0.00014209183782470534, 0.00014454371657347462, 0.00014703782990351864, 0.00014957490366097773, 0.0001521556761291448, 0.00015478089824073015, 0.0001574513337937458, 0.0001601677596710247, 0.0001629309660635015, 0.00016574175669726145, 0.00016860094906445903, 0.0001715093746581135, 0.00017446787921095852, 0.00017747732293827407, 0.0001805385807848771, 0.0001836525426763041, 0.0001868201137742137, 0.00019004221473616897, 0.0001933197819798036, 0.0001966537679514407, 0.00020004514139932187, 0.00020349488765140821, 0.00020700400889793257, 0.00021057352447870965, 0.00021420447117532994, 0.00021789790350830476, 0.00022165489403922636, 0.0002254765336780705, 0.00022936393199567793, 0.0002333182175415547, 0.00023734053816701085, 0.0002414320613538182, 0.00024559397454838514, 0.0002498274855016229, 0.00025413382261453923, 0.00025851423528968313, 0.00026296999428853713, 0.00026750239209496286, 0.00027211274328477127, 0.00027680238490156395, 0.0002815726768389039, 0.0002864250022289708, 0.00029136076783777795, 0.0002963814044670655, 0.00030148836736295265, 0.0003066831366315722, 0.000311967217661654, 0.00031734214155424584, 0.00032280946555975087, 0.0003283707735223022, 0.0003340276763316302, 0.00033978181238255087, 0.000345634848042293, 0.0003515884781255663, 0.0003576444263777981, 0.0003638044459664131, 0.0003700703199804124, 0.0003764438619384602, 0.000382926916305415, 0.0003895213590176798, 0.0003962290980173288, 0.0004030520737952726, 0.00040999225994359126, 0.0004170516637171154, 0.0004242323266045313, 0.0004315363249090541, 0.0004389657703389673, 0.0004465228106078983, 0.00045420963004552656, 0.00046202845021825164, 0.0004699815305604965, 0.00047807116901656024, 0.0004862997026932938, 0.000494669508523763, 0.0005031830039420295, 0.0005118426475693324, 0.0005206509399117604, 0.0005296104240696637, 0.0005387236864590675, 0.0005479933575450325, 0.0005574221125875086, 0.0005670126723996299, 0.0005767678041187606, 0.0005866903219905096, 0.000596783088165872, 0.0006070490135118024, 0.0006174910584352757, 0.0006281122337214022, 0.0006389156013852939, 0.0006499042755385291, 0.000661081423269927, 0.0006724502655411674, 0.0006840140780974949, 0.0006957761923935356, 0.0007077399965347882, 0.0007199089362347487, 0.0007322865157881658, 0.0007448762990605968, 0.0007576819104944444, 0.0007707070361319207, 0.0007839554246551391, 0.000797430888443543, 0.0008111373046490832, 0.0008250786162893694, 0.0008392588333590407, 0.000853682033959978, 0.0008683523654499241, 0.0008832740456108892, 0.0008984513638365304, 0.0009138886823398568, 0.000929590437380746, 0.0009455611405141472, 0.0009618053798590364, 0.000978327821388706, 0.0009951332102423522, 0.001012226372058742, 0.001029612214332181, 0.0010472957277907848, 0.0010652819877981024, 0.0010835761557778587, 0.0011021834806626278, 0.0011211093003664777, 0.0011403590432823019, 0.0011599382298039208, 0.0011798524738738333, 0.0012001074845563267, 0.0012207090676371753, 0.0012416631272497035, 0.0012629756675280046, 0.0012846527942875746, 0.0013067007167342007, 0.001329125749200651, 0.0013519343129130745, 0.0013751329377859117, 0.0013987282642473357, 0.001422727045094413, 0.0014471361473796592, 0.0014719625543283962, 0.001497213367288362, 0.0015228958077113137, 0.0015490172191678332, 0.0015755850693953803, 0.001602606952380195, 0.0016300905904741451, 0.0016580438365460235, 0.0016864746761691986, 0.0017153912298449026, 0.0017448017552628005, 0.001774714649598596, 0.0018051384518499704, 0.0018360818452112654, 0.0018675536594869857, 0.0018995628735454836, 0.001932118617813697, 0.001965230176812207, 0.001998906991732884, 0.00203315866305893, 0.002067994953228163, 0.002103425789340327, 0.0021394612659090192, 0.0021761116476592163, 0.0022133873723707864, 0.0022512990537689632, 0.002289857484462604, 0.0023290736389306502, 0.0023689586765580405, 0.002409523944721597, 0.0024507809819266156, 0.002492741520995207, 0.0025354174923072044, 0.002578821027094362, 0.0026229644607885564, 0.0026678603364252906, 0.0027135214081032886, 0.002759960644500506, 0.0028071912324483823, 0.002855226580564565, 0.002904080322945319, 0.0029537663229185474, 0.0030042986768586562, 0.0030556917180638026, 0.0031079600206962905, 0.0031611184037889373, 0.003215181935315108, 0.0032701659363279447, 0.0033260859851643797, 0.0033829579217211254, 0.0034407978517985234, 0.0034996221515158966, 0.00355944747180011, 0.0036202907429460844, 0.003682169179253192, 0.003745100283736475, 0.0038091018529153946, 0.003874191981680699, 0.003940389068240274, 0.004007711819146611, 0.004076179254405636, 0.004145810712668816, 0.0042166258565104675, 0.004288644677790624, 0.004361887503105031, 0.004436374999325332, 0.004512128179227153, 0.004589168407211831, 0.004667517405120158, 0.004747197258141097, 0.004828230420816473, 0.004910639723142732, 0.0049944483767729135, 0.00507967998131825, 0.005166358530752733, 0.005254508419921341, 0.005344154451153777, 0.0054353218409858295, 0.005528036226988949, 0.005622323674711252, 0.0057182106847304594, 0.005815724199821111, 0.005914891612237814, 0.006015740771116117, 0.006118299989993805, 0.006222598054451977, 0.006328664229882074, 0.006436528269375843, 0.0065462204217447174, 0.006657771439667183, 0.006771212587968149, 0.006886575652031762, 0.00700389294634942, 0.00712319732320641, 0.007244522181507362, 0.007367901475743953, 0.007493369725107275, 0.007620962022747241, 0.007750714045178352, 0.007882662061839884, 0.008016842944807773, 0.008153294178661567, 0.008292053870511972, 0.008433160760187328, 0.008576654230583864, 0.008722574318182326, 0.00887096965587462, 0.009021878394597083, 0.009175338316829738, 0.009331392192782687, 0.00949008350165151, 0.009651456443189321, 0.009815555949462514, 0.009982427696795505, 0.010152118117905062, 0.010324674414227165, 0.010500144568443833, 0.010678577357204878, 0.010860022364055881, 0.01104452999256939, 0.011232151479687808, 0.011422938909274039, 0.011616945225881609, 0.011814224248741819, 0.012014830685972847, 0.012218820149012724, 0.012426249167285778, 0.012637175203094694, 0.012851656666754516, 0.013069752931963276, 0.013291524351415878, 0.013517032272665243, 0.013746339054233522, 0.013979508081979423, 0.014216603785721746, 0.014457691656126188, 0.014702838261858793, 0.014952111267007651, 0.015205579448782579, 0.015463312715489053, 0.015725382124788696, 0.01599185990224271, 0.016262819460152178, 0.016538335416687592, 0.01681848361532335, 0.017103341144576473, 0.017392986358051244, 0.01768749889480169, 0.017986959700011178, 0.01829145104599419, 0.01860105655352926, 0.018915861213521765, 0.019235874880262745, 0.01956117444114229, 0.019891931045389843, 0.02022823524907461, 0.020570179088820056, 0.020917856105512663, 0.021271361368380582, 0.021630791499441717, 0.021996244698334187, 0.022367820767531806, 0.022745621137949396, 0.02312974889494426, 0.023520308804720735, 0.023917407341142935, 0.024321152712963114, 0.024731654891465022, 0.02514902563854306, 0.025573378535204503, 0.02600482901051766, 0.026443494371002768, 0.026889493830475935, 0.027342948540350295, 0.027803981620406162, 0.02827271819002724, 0.028749285399923368, 0.02923381246433236, 0.029726430693721616, 0.030227273527981324, 0.030736476570138983, 0.031254177620568944, 0.03178051671174538, 0.03231563614350756, 0.03285968051887587, 0.03341279678040289, 0.03397513424708535, 0.0345468446518296, 0.035128082179493786, 0.035719003505500356, 0.036319767835040505, 0.036930536942862864, 0.03755147521367557, 0.03818274968315155, 0.03882453007955554, 0.03947698886600058, 0.040140301283338474, 0.040814645393695954, 0.04150081164817886, 0.04219976366570832, 0.042910365982258336, 0.04363281006574519, 0.04436729046962818, 0.045114004881253035, 0.045873154170923004, 0.04664494244171309, 0.04742957708001659, 0.04822726880686241, 0.04903823172999357, 0.049862683396728544, 0.05070084484760094, 0.051552940670817025, 0.05241919905751068, 0.053299851857823245, 0.05419513463782428, 0.0551052867372669, 0.05603055132821353, 0.05697117547451968, 0.05792741019219691, 0.05889951051068532, 0.05988773553501316, 0.060892348508876905, 0.06191361687866282, 0.06295181235840167, 0.06400721099567037, 0.06508009323848833, 0.0661707440031676, 0.06727945274316821, 0.06840651351897113, 0.06955222506895307, 0.07071689088131701, 0.07190081926705247, 0.07310432343397566, 0.07432772156183705, 0.07557133687852094, 0.07683549773735732, 0.0781205376955451, 0.07942679559372011, 0.08075461563666357, 0.08210434747518935, 0.08347634628919635, 0.08487097287192912, 0.08628859371544197, 0.08772958109730017, 0.08919076565099679, 0.09065468549979844, 0.09214229979685978, 0.09365398467468955, 0.09519012207300696, 0.09675109982475753, 0.09833731174330525, 0.09994915771086031, 0.10158704376809476, 0.10325138220501723, 0.10494259165309551, 0.10666109717863186, 0.10840733037744057, 0.11018172947080987, 0.1119847394027634, 0.11381681193869242, 0.1156784057652883, 0.11756998659184997, 0.11949202725298401, 0.12144500781266775, 0.12342941566974865, 0.1254457456648548, 0.12749450018874467, 0.1295761892921329, 0.1316913307969678, 0.1338404504092256, 0.1360240818331953, 0.13824276688730147, 0.14049705562147716, 0.14278750643607127, 0.14511468620238913, 0.14747917038476402, 0.149881543164293, 0.15232239756419952, 0.15480233557681908, 0.1573219682922948, 0.1598819160289424, 0.16248280846530214, 0.1651252847739575, 0.16780999375707026, 0.1705375939836791, 0.17330875392880535, 0.1761241521143178, 0.1789844772516595, 0.18189042838639743, 0.18484271504461544, 0.18784205738120988, 0.18954918790625155, 0.19124091347965658, 0.19294683626724515, 0.1946670618969302, 0.19640169657361153, 0.19815084707883518, 0.19991462077038616, 0.20169312558173738, 0.20348647002152984, 0.20529476317285245, 0.20711811469253352, 0.20895663481029997, 0.2108104343278422, 0.2126796246178392, 0.2145643176228359, 0.21646462585407825, 0.21838066239022502, 0.22031254087597751, 0.222260375520614, 0.2242242810964133, 0.22620437293699072, 0.22820076693554195, 0.23021357954294608, 0.23224292776581412, 0.2342889291643789, 0.2363517018503196, 0.23843136448443533, 0.2405280362742526, 0.2426418369714692, 0.24477288686931012, 0.2469213067997462, 0.24908721813062987, 0.251270742762635, 0.2534720031261636, 0.2556911221780368, 0.25792822339811844, 0.260183430785773, 0.2624568688562043, 0.26474866263666175, 0.26705893766247263, 0.26938781997300043, 0.27173543610737577, 0.274101913100153, 0.2764873784767921, 0.2788919602489732, 0.28131578690979264, 0.28381359771868614, 0.28634467286953497, 0.2888965789654437, 0.29146946088996106, 0.2940634641126292, 0.2966787346837776, 0.2993154192291757, 0.3019736649444686, 0.3046536195895017, 0.30735543148232547, 0.3100792494931447, 0.3128252230380015, 0.31559350207227393, 0.31838423708396874, 0.32119757908684526, 0.3240336796132891, 0.3268926907069896, 0.32977476491543806, 0.332680055282153, 0.33560871533874703, 0.33856089909668485, 0.3415367610389508, 0.3445364561113157, 0.3475601397135466, 0.35060796769022873, 0.35368009632145403, 0.3567766823132183, 0.3598978827875592, 0.36304385527249644, 0.3662147576916453, 0.36941074835366283, 0.3726319859413392, 0.375878629500469, 0.37915083842848796, 0.38244877246276826, 0.38577259166867267, 0.389122456427337, 0.39249852742313157, 0.3959009656308879, 0.3993299323027891, 0.40278558895496286, 0.40626809735384034, 0.40977761950209673, 0.41331431762438037, 0.4168783541527123, 0.4204698917115031, 0.4240779683496212, 0.42770749804286173, 0.43136471857739833, 0.4350497897692881, 0.4387628715211625, 0.4425041238052621, 0.4462737066461949, 0.4500717801032223, 0.45389850425238565, 0.4577540391681297, 0.4616385449045881, 0.4655521814765891, 0.4694951088401902, 0.4734674868728963, 0.4774694753535029, 0.48150123394152555, 0.4855629221562852, 0.4896546993555415, 0.4937767247138663, 0.49792915720041664, 0.5021121555564597, 0.5063258782724632, 0.5105704835647319, 0.5148461293516253, 0.5191529732294681, 0.5234911724477991, 0.5278608838844877, 0.5322622640201565, 0.5366954689123297, 0.5411606541690436, 0.5456579749220584, 0.5501875857996026, 0.5547496408986748, 0.5593442937568239, 0.5639716973235523, 0.5686320039311601, 0.5733253652651872, 0.5780519323343246, 0.5828118554398699, 0.5876052841446338, 0.5924323672414702, 0.5972932527211922, 0.6021880877400408, 0.6071170185865801, 0.6120801906482394, 0.6170777483771083, 0.6221119111221239, 0.627183064833425, 0.6322891029827535, 0.6374301666630768, 0.6426063958576332, 0.647817929402626, 0.6530649049493895, 0.6583474589259594, 0.6636657264980653, 0.6690198415296338, 0.6744099365426843, 0.6798361426765525, 0.6852985896468378, 0.6907974057033807, 0.6963327175879478, 0.7019046504912306, 0.7075133280092593, 0.713158872099185, 0.7188414030345632, 0.724561039359903, 0.7303178978447733, 0.7361120934371116, 0.7419437392160949, 0.7478129463443169, 0.7537198240193055, 0.7596644794245078, 0.7656470176795865, 0.7716675417901167, 0.777726152596645, 0.7838229487231282, 0.7899580265247121, 0.7961314800348762, 0.8023434009119738, 0.8085938783850354, 0.8148829991990971, 0.821210847559657, 0.8275775050766859, 0.8339830507078948, 0.8404275607012798, 0.8469111085371789, 0.8534337648695508, 0.8599955974665808, 0.8665966711507516, 0.8732370477381389, 0.8799167859770404, 0.8866359414861003, 0.8933942336330338, 0.9001912969784805, 0.907027908648854, 0.9139041109684811, 0.9208199428119281, 0.9277754395381025, 0.9347706329235579, 0.941805551095446, 0.9488802184633246, 0.9559946556508258, 0.963148879426356, 0.9703429026332174, 0.9775767341190837, 0.984850378664868, 0.9921638369128837, 0.9995171052943629, 1.0069101759564816, 1.0143430366884252, 1.0218156708472814, 1.0293280572828245, 1.0368801702620078, 1.0444719793927573, 1.0521034495470614, 1.0597745407836343, 1.067485208269662, 1.0752354022023363, 1.0830250677295712, 1.0908541448700713, 1.0987225684330728, 1.1066302679372881, 1.1145771675294132, 1.1225631859019651, 1.13058823621072, 1.138652225991555, 1.1467550570767118, 1.1548966255105546, 1.1630768214649394, 1.1712955291538527, 1.1795526267479375, 1.187847986288048, 1.1961814735987855, 1.2045529482013961, 1.212962263226112, 1.2214092653244555, 1.2298937945805468, 1.238415684422615, 1.2469747985671678, 1.255571141069864, 1.2642043071633033, 1.272874102779421, 1.281580326744782, 1.2903227706897806, 1.2991012189576103, 1.3079154485129296, 1.31676522885014, 1.325650321901645, 1.3345704819458837, 1.3435254555150433, 1.3525149813027306, 1.3615387900714522, 1.3705966045599853, 1.379688139390752, 1.3888131009769191, 1.397971187429653, 1.4071620884652043, 1.4163854853122588, 1.4256410506188748, 1.4349284483599871, 1.4442473337445938, 1.4535973531233406, 1.4629781438961535, 1.4723893344199717, 1.4818305439167465, 1.491301382381899, 1.5008014504925207, 1.5103303395165981, 1.5198876312218954, 1.5294728977856726, 1.5390857017046462, 1.5487255957053452, 1.5583921226551667, 1.5680848154736504, 1.5778031970446478, 1.5875467801287948, 1.5973150672768803, 1.6071075507436188, 1.6169237124024964, 1.6267630236612098, 1.6366249453776864, 1.6465089277774656, 1.6564144103716392, 1.6663408218756777, 1.6762875801295256, 1.6862540338855025, 1.696239635112623, 1.706243769865834, 1.7162658117024188, 1.72630512292072, 1.7363610544871364, 1.7464329459645984, 1.7565201254420777, 1.766621909466089, 1.7767376029733155, 1.7868664992248886, 1.797007879742401, 1.8071610142455579, 1.817325160591575, 1.8274995647163599, 1.8376834605776717, 1.8478760701000485, 1.8580766031219451, 1.8682842573446703, 1.878498218283784, 1.8887176592221961, 1.898941741166357, 1.9091696128036189, 1.9194004104631306, 1.9296332580782487, 1.939867267152364, 1.9501015367265881, 1.960335153350419, 1.9705671910552292, 1.9807967113304634, 1.9910227631026673, 2.0012443827176956, 2.011460593925628, 2.0216704078692924, 2.0318728230753558, 2.04206682544913, 2.05225138827266, 2.0624254722061917, 2.0725880252928763, 2.0827379829675534, 2.0928742680688965, 2.1029957908552004, 2.1131014490242483, 2.123190127736881, 2.1332606996446484, 2.143312024921464, 2.153342961864381, 2.1633523378097106, 2.1733389732801944, 2.183301678939557, 2.193239253196136, 2.203150482260473, 2.2130341402078266, 2.2228889890453107, 2.2327137787835203, 2.24250724751392, 2.252268121490038, 2.2619951152146176, 2.271686931531565, 2.2813422617229233, 2.29095978561163, 2.300538171669242, 2.3100760771290956, 2.3195721481055176, 2.3290250197179954, 2.338433316221489, 2.3477956511423637, 2.3571106274201465, 2.366376837555375, 2.37559286376335, 2.384757278133839, 2.393868642797311, 2.402925510096939, 2.4119264227673907, 2.420869914119487, 2.4297545082319063, 2.438578720148617, 2.4473410560839715, 2.456040013633231, 2.46467408199076, 2.4732417421745656, 2.481741467257648, 2.4901717226065023, 2.4985309661262045, 2.5068176485130524, 2.5150302135135663, 2.523167098190979, 2.531226733199283, 2.539207543063366, 2.5471079464676976, 2.5549263565513876, 2.5626611812108644, 2.5703108216909563, 2.577873677097352, 2.5853481424344413, 2.592732607802548, 2.600025459683554, 2.6072250812880893, 2.614329852910317, 2.621338152290068, 2.6282483549827456, 2.6350588347362556, 2.641767963876157, 2.648374113697615, 2.6548756548652936, 2.661270957820915, 2.66755839319754, 2.6737363322422336, 2.6798031472454724, 2.6857572119782622, 2.691596902136817, 2.6973205957938426, 2.702926673857975, 2.708413520539938, 2.713779523825968, 2.7190230759585585, 2.7241425739237006, 2.72913641994586, 2.7340030219895106, 2.7387407942670245, 2.7433481577541436, 2.7478235407116225, 2.7521653792131664, 2.756372117680414, 2.760442209423725, 2.7643741171892726, 2.7681663137124537, 2.7718172822769063, 2.77532551727948, 2.7786895248008543, 2.7819078231814953, 2.7849789436033703, 2.787901430676257, 2.7906738430294142, 2.7932947539080413, 2.7957627517742165, 2.7980764409124594, 2.8002344420393768, 2.8022353931556148, 2.8040779497097446, 2.805760785150988, 2.8072825920982365, 2.808642082706539, 2.8098379892977214, 2.810869064993545, 2.811734084350642, 2.8124318439984797, 2.812961163278298, 2.813320884883878, 2.8135098755036956, 2.8135270264638237, 2.8133712543713165, 2.813041501758295, 2.812536737725759, 2.8118559585870244, 2.810998188510867, 2.8099624801630374, 2.80874791534707, 2.8073536056428963, 2.805778693043742, 2.804022350590389, 2.8020837830025322, 2.7999622273072227, 2.7976569534636355, 2.795167264983573, 2.7924924995482323, 2.7896320296193484, 2.7865852630459744, 2.7833516436651458, 2.7799306518966893, 2.7763218053314356, 2.772524659312984, 2.768538807511456, 2.7643638824905086, 2.7599995562646398, 2.7554455408496987, 2.7507015888025412, 2.745767493752331, 2.7406430909218127, 2.7353282576367675, 2.7298229138266406, 2.7241270225117247, 2.71824059028011, 2.712163667751472, 2.705896350002163, 2.6994387770242163, 2.6927911342421336, 2.6859536527784473, 2.678926609905622, 2.671710329426546, 2.664305182038969, 2.656711585684249, 2.648930005879201, 2.640960956031429, 2.632804997736826, 2.62446274105927, 2.6159348447924198, 2.6072220167020443, 2.5983250137495473, 2.5892446422961357, 2.579981758286264, 2.5705372674111406, 2.5609121252510945, 2.551107337396562, 2.54112395954778, 2.530963097591843, 2.5206259076578155, 2.510113596148765, 2.4994274197504884, 2.4885686854168725, 2.4775387503315525, 2.4663390218449392, 2.4549709573869753, 2.4434360643553714, 2.431735899978047, 2.4198720711508104, 2.4078462342492086, 2.395660094914349, 2.3833154078130163, 2.3708139763709175, 2.3581576524799472, 2.345348336178354, 2.3323879753043903, 2.319278565122739, 2.3060221479239074, 2.2926208125963936, 2.27907669417149, 2.2653919733407446, 2.2515688759459427, 2.237609672441913, 2.2235166773329667, 2.209292248585683, 2.1949387869841877, 2.1804587355114875, 2.1658545786650363, 2.1511288417550536, 2.1362840901761277, 2.121322928651674, 2.106248000451859, 2.0910619865845645, 2.0757676049607965, 2.060367609533499, 2.0448647894106236, 2.0292619679429906, 2.0135620017867173, 1.9977677799407867, 1.9818822227606694, 1.9659082809471096, 1.949848934511881, 1.9337071917201003, 1.9174860880097806, 1.9011886848892974, 1.884818068812761, 1.8683773500350183, 1.8518696614449, 1.8352981573793334, 1.818666012417771, 1.8019764201576702, 1.7852325919721324, 1.7684377557497462, 1.751595154618265, 1.7347080456515285, 1.7177796985619955, 1.700813394377949, 1.683812424107587, 1.666780087390045, 1.6497196911343692, 1.6326345481472728, 1.6155279757506824, 1.59840329438961, 1.5812638262317744, 1.5641128937594586, 1.5469538183546745, 1.5297899188786401, 1.5126245102465643, 1.495460901998551, 1.4783023968676976, 1.4611522893453013, 1.4440138642503009, 1.4268903952913141, 1.4097851436349955, 1.3927013564756283, 1.3756422656080087, 1.3586110860047385, 1.3416110143991098, 1.324645227874411, 1.3077168824609953, 1.290829111742012, 1.273985025468802, 1.2571877081872607, 1.2404402178759943, 1.22374558459752, 1.2071068091634136, 1.1905268618144496, 1.1740086809172234, 1.157555171677374, 1.1411692048714979, 1.124853615597928, 1.1086112020479164, 1.0924447242980746, 1.0763569031246982, 1.0603504188417032, 1.0444279101623013, 1.0285919730860085, 1.0128451598114208, 0.9971899776759985, 0.9816288881235173, 0.9661643057002168, 0.9507985970803358, 0.9355340801217371, 0.9203730229530473, 0.9053176430919753, 0.8903701065966662, 0.875532527249882, 0.8608069657775527, 0.8461954291013275, 0.8316998696268366, 0.817322184567318, 0.8030642153037251, 0.7889277467817578, 0.7749145069455668, 0.7610261662104096, 0.7472643369724262, 0.733630573157429, 0.7201263698082937, 0.7067531627118862, 0.6935123280654215, 0.6804051821823097, 0.6674329812380109, 0.6545969210560107, 0.641898136933769, 0.6293377035090916, 0.6169166346666357, 0.6046358834847649, 0.592496342222587, 0.5804988423471363, 0.5686441546005201, 0.5569329891070456, 0.545365995519819, 0.5339437632068715, 0.5226668214763932, 0.5115356398406933, 0.5005506283186874, 0.48971213777637085, 0.4790204603049254, 0.4684758296359361, 0.45807842159325096, 0.447828354580936, 0.43772569010669343, 0.42777043334011666, 0.4179625337052804, 0.40830188550683116, 0.39878832858881175, 0.3894216490257178, 0.3802015798447259, 0.3711278017785033, 0.36219994404758854, 0.35341758517161603, 0.344780253808434, 0.3362874296201527, 0.32793854416526147, 0.31973298181584214, 0.3116700806988208, 0.3037491336602924, 0.2959693892519594, 0.2883300527382504, 0.28083028712471575, 0.2734692142026905, 0.2662459156143266, 0.25915943393301427, 0.2522087737596526, 0.24539290283329848, 0.23871075315518325, 0.232161222124876, 0.2257431736875174, 0.21945543949086266, 0.21329682005115178, 0.20726608592650667, 0.20136197889679622, 0.19558321314879315, 0.1899284764654742, 0.18439643141834144, 0.17898571656163567, 0.17369494762730495, 0.16852271871961094, 0.1634676035083137, 0.15852815641928908, 0.15370291382152262, 0.14899039520943572, 0.14438910437948368, 0.13989753059998666, 0.13551414977320755, 0.13123742558865176, 0.12706581066667208, 0.12299774769136629, 0.11903167053190265, 0.11516600535133018, 0.11139917170201635, 0.1077295836068754, 0.10415565062552724, 0.10067577890463436, 0.0972883722116031, 0.09399183295098895, 0.09078456316278895, 0.0876649655020461, 0.08463144419905905, 0.08168240599961511, 0.07881626108463857, 0.07603142396871813, 0.07332631437700828, 0.0706993581000051, 0.06814898782574112, 0.06567364394935156, 0.06327177535753524, 0.060941840192780775, 0.05868230659005291, 0.056491653390941844, 0.05436837083288519, 0.052310961213631865, 0.05031793953074352, 0.04838783409600957, 0.046519187124645214, 0.04471055529920498, 0.042960510308161816, 0.0412676393591155, 0.03963054566669227, 0.03804784891512467, 0.03651818569563234, 0.035040209918685485, 0.03361259320130428, 0.032234025229536965, 0.030903214096326976, 0.029618886614974742, 0.028379788608447042, 0.027184685174794297, 0.02603236092898142, 0.02492162022143206, 0.023851287333648503, 0.022820206651247624, 0.021827242814807583, 0.020871280848925883, 0.01995122626990233, 0.019066005172494026, 0.018214564296192916, 0.017395871071495556, 0.016608913646653015, 0.015852700895399332, 0.015126262406167849, 0.014428648453321386, 0.013758929950926391, 0.01311619838961649, 0.01249956575709529, 0.011908164442834787, 0.01134114712753849, 0.010797686657935667, 0.010276975907479523, 0.009778227623532025, 0.009300674261607718, 0.008843567806996607, 0.008406179585963864, 0.007987800063022998, 0.0075877386303503285, 0.007205323385771784, 0.00683990090156369, 0.006490835984360278, 0.0061575114267299925, 0.00583932775098188, 0.00553570294575368, 0.005246072195927155, 0.004969887606411065, 0.0047066179203193725, 0.004455748232066727, 0.004216779695891827, 0.0039892292303100405, 0.003772629218986542, 0.0035665272085083767, 0.0033704856035232634, 0.0031840813597020868, 0.003006905674967009, 0.0028385636794178958, 0.0026786741243721534, 0.0025268690709255395, 0.0023827935784219534, 0.002246105393211541, 0.002116474638058374, 0.0019935835025486222, 0.0018771259348329074, 0.0017668073350235137, 0.0016623442505531475, 0.0015634640737869157, 0.0014699047421650475, 0.0013814144411393643, 0.0012977513101525714, 0.0012186831518954029, 0.0011439871450614817, 0.0010734495608075792, 0.0010068654831112138, 0.0009440385332059049, 0.0008847805982591912, 0.0008289115644466737, 0.0007762590545616569, 0.0007266581702876384, 0.000679951239248281, 0.0006359875669376779, 0.0005946231937262827, 0.0005557206563860652, 0.00051914875580881, 0.00048478232881228204, 0.0004525020257191206, 0.00042219409308338115, 0.00039375016170293447, 0.00036706703993511094, 0.0003420465123241309, 0.0003185951435400592, 0.00029662408762074307, 0.000276048902500322, 0.0002567893698003483, 0.00023876931985258035, 0.00022191646191549604, 0.00020616221954037977, 0.00019144157103679474, 0.00017769289498163922, 0.00016485782071066848, 0.00015288108372651352, 0.0001417103859527177, 0.00013129626075903628, 0.00012159194267948908, 0.00011255324174109549, 0.00010413842231804545, 9.630808642325373e-05, 8.902506134660748e-05, 8.225429154705736e-05, 7.596273470369449e-05, 7.011926182931727e-05, 6.469456134858548e-05, 5.966104704169518e-05, 5.499276975368057e-05, 5.066533276876774e-05, 4.665581074879023e-05, 4.29426721345133e-05, 3.950570490869398e-05, 3.632594561995642e-05, 3.33856115669337e-05, 3.066803604270649e-05, 2.815760654033628e-05, 2.583970582115548e-05, 2.3700655748553975e-05, 2.172766379113918e-05, 1.990877210048135e-05, 1.8232809070055314e-05, 1.6689343266377903e-05, 1.5268639746212467e-05, 1.3961618407549792e-05, 1.275981464395375e-05, 1.1655341946437606e-05, 1.0640856479709442e-05, 9.709523533162312e-06, 8.854985767547983e-06, 8.071333180318543e-06, 7.353074714687207e-06, 6.695111439557531e-06, 6.092711229577792e-06, 5.541484876700586e-06, 5.03736356675204e-06, 4.576577656644009e-06, 4.155636689982417e-06, 3.7713105909338385e-06, 3.4206119783097984e-06, 3.100779543904327e-06, 2.809262441175181e-06, 2.543705632386671e-06, 2.3019361443293092e-06, 2.0819501846995834e-06, 1.8819010731533925e-06, 1.7000879429387661e-06, 1.534945170869325e-06, 1.3850324952107093e-06, 1.249025782822515e-06, 1.1257084086216793e-06, 1.0139632121129003e-06, 9.127649973631456e-07, 8.211735443822193e-07, 7.383271014075793e-07, 6.634363290786895e-07, 5.957786689265413e-07, 5.346931099929403e-07, 4.795753287360108e-07, 4.2987317867083316e-07, 3.850825074387589e-07, 3.447432801952845e-07, 3.0843598935568426e-07, 2.7577833184011653e-07, 2.464221360166865e-07, 2.2005052155247316e-07, 1.963752763498502e-07, 1.7513443566950802e-07, 1.560900503547023e-07, 1.3902612529850968e-07, 1.2374673023119066e-07, 1.1007425160106807e-07, 9.784778963598285e-08, 8.692168428016435e-08, 7.716416149192728e-08, 6.845609096880908e-08, 6.068984695134813e-08, 5.37682643095444e-08, 4.7603682638364923e-08, 4.2117071581604716e-08, 3.723723106823617e-08, 3.2900060583227774e-08, 2.9047892006899502e-08, 2.5628880944280418e-08, 2.2596451829869476e-08, 1.9908792434667963e-08, 1.7528393722531276e-08, 1.542163130273689e-08, 1.3558385006283434e-08, 1.1911693375747985e-08, 1.0457440103543295e-08, 9.174069682035428e-09, 8.042329742106778e-09, 7.045037755254963e-09, 6.166869959012634e-09, 5.394170537183867e-09, 4.7147792458582425e-09, 4.117875824137561e-09, 3.5938396656807557e-09, 3.134123354216595e-09, 2.731138783726275e-09, 2.3781546926657406e-09, 2.0692045419620213e-09, 1.7990037591225124e-09, 1.5628754561646964e-09, 1.3566838076952868e-09, 1.1767743478106798e-09, 1.019920510990832e-09, 8.832758032334056e-10, 7.643310457131944e-10, 6.608761846199333e-10, 5.709662078718582e-10, 4.928907524453352e-10, 4.251470254054005e-10, 3.664156849497727e-10, 3.155394511603963e-10, 2.71503968995293e-10, 2.3342094411648795e-10, 2.0051311652430078e-10, 1.7210095367740636e-10, 1.4759086504826636e-10, 1.2646477321875417e-10, 1.0827089341723667e-10, 9.261558860616076e-11, 7.915618098526303e-11, 6.759461320651133e-11, 5.767186381948285e-11, 4.916303158779131e-11, 4.1873012437383795e-11, 3.5632701007222255e-11, 3.029565615565261e-11, 2.5735176408472757e-11, 2.1841737287643205e-11, 1.852074779716398e-11, 1.56905881237267e-11, 1.328089488812523e-11, 1.1231064108104215e-11, 9.48894544904318e-12, 8.009704386304206e-12, 6.7548316191640444e-12, 5.6912814946220004e-12, 4.790723350463475e-12, 4.028891598367831e-12, 3.385022064564264e-12, 2.8413636101263895e-12, 2.3827553858543884e-12, 1.9962612562040365e-12, 1.6708539694536516e-12, 1.3971425721600867e-12, 1.167137378342995e-12, 9.740475197835463e-13, 8.121067341174649e-13, 6.764236017103631e-13, 5.628529292698612e-13, 4.678854055054442e-13, 3.885530287912504e-13, 3.2234813487140855e-13, 2.6715413965188027e-13, 2.211863629207389e-13, 1.829415177627998e-13, 1.5115464132841182e-13, 1.2476243422770564e-13, 1.0287193883609353e-13, 8.473417103365037e-14, 6.972147437011669e-14, 5.73084402671129e-14, 4.705571579634838e-14, 3.8596298602985086e-14, 3.162394941713388e-14, 2.5883405545071752e-14, 2.1162124394087406e-14, 1.728332541906206e-14, 1.4100132723662944e-14, 1.1490649637287715e-14, 9.353821560647635e-15, 7.605964786061952e-15, 6.177857339149915e-15, 5.012303579383719e-15, 4.062097705162047e-15, 3.2883227533959753e-15, 2.6589314402729432e-15, 2.1475634979871842e-15, 1.732561228506651e-15, 1.396150998397004e-15, 1.1237634922783262e-15, 9.034698592556317e-16, 7.255145407148581e-16, 5.819286572238734e-16, 4.662104410345247e-16, 3.730614009320162e-16, 2.981687596257314e-16, 2.380262632698613e-16, 1.897867730808475e-16, 1.5114114878470788e-16, 1.2021885548589007e-16, 9.55064973168349e-17, 7.578112653149869e-17, 6.005571559052142e-17, 4.753462923225274e-17, 3.757730790053661e-17, 2.9668685348408714e-17, 2.3395122002501014e-17, 1.842485039104198e-17, 1.4492106876645067e-17, 1.138427120244591e-17, 8.931457084492104e-18, 6.998097563291574e-18, 5.476145198081062e-18, 4.279622002352829e-18, 3.340165837662495e-18, 2.6035143169928638e-18, 2.0266482564470882e-18, 1.5755071908087375e-18, 1.2231595742485276e-18, 9.483391313076507e-19, 7.342756648359976e-19, 5.677623444255805e-19, 4.384126554274955e-19, 3.3806925023800045e-19, 2.603342933584579e-19, 2.0019684482884373e-19, 1.5373764168129758e-19, 1.1789552614004896e-19, 9.028290603889977e-20, 6.90401592837791e-20, 5.272092603136174e-20, 4.02018640414688e-20, 3.06117512732287e-20, 2.3275867720364838e-20, 1.7672426431521063e-20, 1.3398492732799726e-20, 1.0143364114104788e-20, 7.667807925023367e-21, 5.787891623940656e-21, 4.3624082949990844e-21, 3.2831125338051395e-21, 2.4671498817312973e-21, 1.8511958030332517e-21, 1.3869249887378224e-21, 1.0375143239485814e-21, 7.749477903082398e-22, 5.779425741988271e-22, 4.303556430347697e-22, 3.199613637575219e-22, 2.3751521515424883e-22, 1.760377506320716e-22, 1.3026785634194785e-22, 9.624593343579752e-23, 7.099663184475602e-23, 5.228774212541418e-23, 3.8447256163408706e-23, 2.822478551179831e-23, 2.0686750897367563e-23, 1.5137345228743777e-23, 1.1058429991714618e-23, 8.065345158283992e-24, 5.872656503395271e-24, 4.268986762297366e-24, 3.09806108798667e-24, 2.2445355109048485e-24, 1.6234191931439343e-24, 1.1721924009521134e-24, 8.449431262952704e-25, 6.080127757142369e-25, 4.367680559133219e-25, 3.1321188293455816e-25, 2.242182914805124e-25, 1.6023062277113414e-25, 1.1430306706336832e-25, 8.139623518061375e-26, 5.78603415889869e-26, 4.105670205382501e-26, 2.9081021213941673e-26, 2.056145683856388e-26, 1.4511517899895764e-26, 1.0223099910502608e-26, 7.188846764098974e-27, 5.045901166234254e-27, 3.535225814244985e-27, 2.4722391580802135e-27, 1.7256577962561227e-27, 1.2022802274012416e-27, 8.360639467699907e-28, 5.80299191004114e-28, 4.020119896352514e-28, 2.7796908057098824e-28, 1.9183165425974476e-28, 1.3213144402770296e-28, 9.083433253428727e-29, 6.232289309653501e-29, 4.2677078211822377e-29, 2.916667997576941e-29, 1.9893916227830695e-29, 1.3542231968745e-29, 9.200100498233242e-30, 6.237677467475565e-30, 4.2206264775696425e-30, 2.8500350591507522e-30, 1.920606353682337e-30, 1.2915750804119712e-30, 8.668104300185676e-31, 5.805373030561671e-31, 3.8800129291082523e-31, 2.5877882630081122e-31, 1.7223138409062728e-31, 1.1438768518221431e-31, 7.58097553589673e-32, 5.013547766882001e-32, 3.3085281061418503e-32, 2.1786599859350473e-32, 1.431542902156693e-32, 9.385877086060564e-33, 6.140393717232169e-33, 4.0083320437970445e-33, 2.6107934171168327e-33, 1.696750088580641e-33, 1.100259147647544e-33, 7.118672118886382e-34, 4.59541800254455e-34, 2.959839704241816e-34, 1.90205726026001e-34, 1.2195125340843307e-34, 7.801017859510653e-35, 4.978673085001508e-35, 3.170065741413018e-35, 2.0137715911461078e-35, 1.276245928722123e-35, 8.069296236366619e-36, 5.0898966558388706e-36, 3.202942523974434e-36, 2.0107174002598534e-36, 1.2592427106313184e-36, 7.867181251675996e-37, 4.903147114314394e-37, 3.048396680318672e-37, 1.8906168658405173e-37, 1.1696764471980176e-37, 7.218596760181721e-38, 4.443848697330086e-38, 2.728850772225395e-38, 1.6715097782913967e-38, 1.0212714965202075e-38, 6.224022743812723e-39, 3.7834960929772806e-39, 2.2940455048291456e-39, 1.3876899136264379e-39, 8.370636711812275e-40, 5.036100582731786e-40, 3.022000177931436e-40, 1.8086439721042696e-40, 1.0796040052417688e-40, 6.427216879851491e-41, 3.8161261634071814e-41, 2.2597375460040068e-41, 1.334513477898851e-41, 7.859804810106188e-42, 4.6165602797243e-42, 2.704190627212899e-42, 1.5796548265087155e-42, 9.202105921571117e-43, 5.3457222641961286e-43, 3.0968035747645793e-43, 1.788969652359582e-43, 1.0305480426236937e-43, 5.919749746175985e-44, 3.3907997074147024e-44, 1.9366825054634963e-44, 1.1029758727858836e-44, 6.263522509823875e-45, 3.5465823203812814e-45, 2.00232197265052e-45, 1.1271556957323666e-45, 6.326356563750631e-46, 3.540273216922413e-46, 1.975271592463575e-46, 1.0987966219900173e-46, 6.093990527984825e-47, 3.369563657870397e-47, 1.857489744627812e-47, 1.0208300756186685e-47, 5.593042675110645e-48, 3.0549477856638365e-48, 1.6634652696273897e-48, 9.029656779428577e-49, 4.886180931512455e-49, 2.635735625653533e-49, 1.4172984739237558e-49, 7.596982023294873e-50, 4.0591423884000746e-50, 2.161891769858699e-50, 1.147712516348232e-50, 6.065129754506911e-51, 3.198987216652067e-51, 1.6817571543126978e-51, 8.812219900568494e-52, 4.602263574501938e-52, 2.395601567026358e-52, 1.2428176552120238e-52, 6.426029469408874e-53, 3.3114118386224526e-53, 1.700636683358864e-53, 8.704230617524627e-54, 4.4397890797697096e-54, 2.2568357718683522e-54, 1.1432356857252104e-54, 5.7711488498672824e-55, 2.9031663457209623e-55, 1.4553153929787317e-55, 7.269595732594407e-56, 3.6184591321242763e-56, 1.7946908963473e-56, 8.869527542249664e-57, 4.3676555064747666e-57, 2.1430165005038597e-57, 1.0476688902106102e-57, 5.103123546810818e-58, 2.476587557168175e-58, 1.1974817062867863e-58, 5.768643138967089e-59, 2.768598582219699e-59, 1.3237919979322155e-59, 6.305867175557073e-60, 2.99245080986701e-60, 1.4146797651443542e-60, 6.662388099048895e-61, 3.125604919076073e-61, 1.4607041577980873e-61, 6.799955946082597e-62, 3.153240971572225e-62, 1.456488255567052e-62, 6.701115002952881e-63, 3.0709225599665376e-63, 1.4017280899787455e-63, 6.372695560159483e-64, 2.8856149060656697e-64, 1.3013696042793843e-64, 5.845225433902056e-65, 2.614757298298536e-65, 1.174106798711541e-65, 5.209521682551189e-66, 2.3019244077033023e-66, 1.012927218685756e-66, 4.4386445762112435e-67, 1.936860621536733e-67, 8.416143238716623e-68, 3.64154306632547e-68, 1.568939343748136e-68, 6.730788905782698e-69, 2.875117481526402e-69, 1.2228288546846598e-69, 5.178295392370222e-70, 2.1832807162237072e-70, 9.16483098625987e-71, 3.830204178266198e-71, 1.5936479484485826e-71, 6.601250481442798e-72, 2.7221604197103054e-72, 1.1174939099000081e-72, 4.566787269992308e-73, 1.8578076044486056e-73, 7.523244044304197e-74, 3.032592771288217e-74, 1.2167955006225538e-74, 4.85965705129373e-75, 1.931826407460813e-75, 7.643546234564968e-76, 3.0100647572379455e-76, 1.1797790916521227e-76, 4.602133211002397e-77, 1.7866561456354048e-77, 6.902965268323138e-78, 2.654195338641009e-78, 1.0155985484949844e-78, 3.867165124060821e-79, 1.4653258938146983e-79, 5.525046645389631e-80, 2.0729421958408946e-80, 7.738863752840806e-81, 2.874717475900603e-81, 1.0625031761435795e-81, 3.90725260775275e-82, 1.4295783362606716e-82, 5.2038961219557266e-83, 1.8846139095194974e-83, 6.4859189999091435e-84, 2.3238961294987737e-84, 8.283247473951361e-85, 2.9370543731969066e-85, 1.0359514423830902e-85, 3.63472414089827e-86, 1.2685181279202693e-86, 4.403556091932495e-87, 1.5204790056335252e-87, 5.221745651426371e-88, 1.783600897334028e-88, 6.059189938458757e-89, 2.0471729839694148e-89, 6.878689763161638e-90, 2.2985616994385294e-90, 7.638249975999702e-91, 2.524101201525254e-91, 8.294357121560601e-92, 2.7102514362324352e-92, 8.805926911011015e-93, 2.8448993326499006e-93, 9.138453274461694e-94, 2.9186365909992667e-94, 9.267794450543532e-95, 2.925831095152222e-95, 9.183029506869625e-96, 2.865325060513458e-96, 8.887922568130514e-97, 2.740641719557753e-97, 8.400730119068562e-98, 2.5596561656073863e-98, 7.752344409557498e-99, 2.333771056724786e-99, 6.983032645451067e-100, 2.0767170597627886e-100, 6.138252667017376e-101, 1.8031548949017236e-101, 5.264156070478161e-102, 1.5272792906814572e-102, 4.403404925795373e-103, 1.2616115080289938e-103, 3.591830641371719e-104, 1.0161212117187884e-104, 2.8562803908684343e-105, 7.977520741140199e-106, 2.2137719858214073e-106, 7.96647589893017e-107, 2.1868771854760052e-107, 5.964071726811582e-108, 1.6158738033594706e-108, 4.349144842276913e-109, 1.1628342392993193e-109, 3.0884092615297427e-110, 8.147802485721417e-111, 2.1351096980476974e-111, 5.557242115813716e-112, 1.4366241581137007e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 4.513752770495516e-106, 5.215412759184841e-106, 6.030522976888861e-106, 6.978116551956159e-106, 8.080532796852512e-106, 9.364010761976838e-106, 1.085939274294183e-105, 1.260295872837988e-105, 1.4637416897515461e-105, 1.7013080231244756e-105, 1.9789265259597012e-105, 2.3035956141647496e-105, 2.683578591496822e-105, 3.1286397168785407e-105, 3.6503256963321616e-105, 4.262301599261661e-105, 4.980752032514536e-105, 5.82486062310175e-105, 6.8173835441757944e-105, 7.985336069370395e-105, 9.36081508078071e-105, 1.0981985235778355e-104, 1.2894262301317867e-104, 1.5151734215829265e-104, 1.781886901412122e-104, 2.09725691870465e-104, 2.4704644759948355e-104, 2.912479287047633e-104, 3.4364190533266346e-104, 4.0579830365357415e-104, 4.7959757259892314e-104, 5.672939850360742e-104, 6.71592220762915e-104, 7.957400962484125e-104, 9.436409406560569e-104, 1.1199898965287354e-103, 1.3304393801576245e-103, 1.58180011273527e-103, 1.8822855804636358e-103, 2.2418095638735205e-103, 2.672348573153179e-103, 3.188383736089892e-103, 3.807440031157664e-103, 4.550744893337215e-103, 5.444033335111929e-103, 6.518533057558827e-103, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.831124511289008e-112, 1.8389164775131267e-112, 1.84678101271937e-112, 1.854718961570348e-112, 1.8627311806131178e-112, 1.8708185384732262e-112, 1.8789819160528737e-112, 1.8872222067323564e-112, 1.8955403165761653e-112, 1.9039371645422114e-112, 1.912413682694562e-112, 1.9209708164212555e-112, 1.929609524655738e-112, 1.9383307801018002e-112, 1.947135569463418e-112, 1.956024893679096e-112, 1.9649997681608084e-112, 1.9740612230362806e-112, 1.9832103033958984e-112, 1.9924480695466936e-112, 2.0017755972697815e-112, 2.0111939780794626e-112, 2.020704319493444e-112, 2.0303077453035265e-112, 2.0400053958533859e-112, 2.0497984283211393e-112, 2.0596880170080092e-112, 2.0696753536314559e-112, 2.0797616476252516e-112, 2.089948126445623e-112, 2.1002360358792822e-112, 2.1106266403655393e-112, 2.1211212233146714e-112, 2.1317210874426885e-112, 2.1424275551042064e-112, 2.153241968635882e-112, 2.1641656907087837e-112, 2.1752001046806684e-112, 2.186346614963374e-112, 2.197606647393049e-112, 2.208981649605237e-112, 2.2204730914252793e-112, 2.2320824652586426e-112, 2.2438112864935974e-112, 2.25566109391011e-112, 2.2676334500971203e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1912710999948545e-112, 1.1914197640850902e-112, 1.1915691940383064e-112, 1.1917193938749824e-112, 1.191870367638079e-112, 1.1920221193920597e-112, 1.1921746532242173e-112, 1.1923279732437751e-112, 1.192482083583328e-112, 1.192636988397166e-112, 1.1927926918634193e-112, 1.1929491981828504e-112, 1.1931065115787745e-112, 1.1932646362987028e-112, 1.1934235766130531e-112, 1.1935833368158571e-112, 1.1937439212247613e-112, 1.1939053341814597e-112, 1.1940675800513463e-112, 1.194230663223791e-112, 1.194394588113005e-112, 1.1945593591571844e-112, 1.1947249808190627e-112, 1.1948914575862686e-112, 1.195058793970745e-112, 1.1952269945105548e-112, 1.195396063767345e-112, 1.1955660063294443e-112, 1.1957368268098758e-112, 1.1959085298475796e-112, 1.1960811201067144e-112, 1.1962546022778826e-112, 1.196428981077669e-112, 1.1966042612489657e-112, 1.1967804475605503e-112, 1.1969575448081555e-112, 1.1971355578145215e-112, 1.197314491428035e-112, 1.1974943505257602e-112, 1.1976751400103171e-112, 1.1978568648127957e-112, 1.19803952989183e-112, 1.198223140232633e-112, 1.1984077008495598e-112, 1.1985932167842441e-112, 1.1987796931066319e-112, 1.1989671349150789e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112]}], "star_spec": {"wavelength": [0.049999999999999996, 0.05024999999999998, 0.05050124999999997, 0.050753756249999955, 0.051007525031249945, 0.051262562656406184, 0.051518875469688204, 0.051776469847036634, 0.052035352196271804, 0.05229552895725315, 0.0525570066020394, 0.05281979163504959, 0.053083890593224825, 0.05334931004619094, 0.05361605659642188, 0.05388413687940397, 0.05415355756380098, 0.05442432535161997, 0.05469644697837806, 0.05496992921326994, 0.05524477885933628, 0.05552100275363295, 0.055798607767401094, 0.05607760080623809, 0.056357988810269266, 0.0566397787543206, 0.05692297764809219, 0.05720759253633264, 0.057493630499014285, 0.05778109865150934, 0.05807000414476688, 0.0583603541654907, 0.05865215593631814, 0.05894541671599972, 0.0592401437995797, 0.05953634451857759, 0.05983402624117046, 0.060133196372376296, 0.060433862354238164, 0.06073603166600934, 0.06103971182433938, 0.06134491038346106, 0.06165163493537835, 0.061959893110055224, 0.06226969257560549, 0.0625810410384835, 0.0628939462436759, 0.06320841597489427, 0.06352445805476872, 0.06384208034504256, 0.06416129074676775, 0.06448209720050158, 0.06480450768650407, 0.06512853022493657, 0.06545417287606124, 0.06578144374044154, 0.06611035095914372, 0.06644090271393943, 0.06677310722750911, 0.06710697276364665, 0.06744250762746486, 0.06777972016560217, 0.06811861876643016, 0.0684592118602623, 0.06880150791956359, 0.0691455154591614, 0.06949124303645718, 0.06983869925163945, 0.07018789274789763, 0.0705388322116371, 0.07089152637269527, 0.07124598400455874, 0.07160221392458152, 0.0719602249942044, 0.07232002611917542, 0.07268162624977127, 0.07304503438102011, 0.0734102595529252, 0.0737773108506898, 0.07414619740494323, 0.07451692839196793, 0.07488951303392775, 0.07526396059909737, 0.07564028040209285, 0.0760184818041033, 0.0763985742131238, 0.07678056708418939, 0.07716446991961032, 0.07755029226920836, 0.07793804373055438, 0.07832773394920713, 0.07871937261895315, 0.07911296948204789, 0.07950853432945812, 0.07990607700110539, 0.0803056073861109, 0.08070713542304143, 0.08111067110015663, 0.08151622445565739, 0.08192380557793566, 0.08233342460582531, 0.08274509172885443, 0.08315881718749868, 0.08357461127343616, 0.08399248432980332, 0.0844124467514523, 0.08483450898520956, 0.08525868153013558, 0.08568497493778623, 0.08611339981247515, 0.0865439668115375, 0.08697668664559517, 0.08741157007882312, 0.08784862792921722, 0.08828787106886328, 0.08872931042420758, 0.0891729569763286, 0.08961882176121022, 0.09006691587001625, 0.09051725044936632, 0.09096983670161313, 0.09142468588512116, 0.09188180931454676, 0.09234121836111947, 0.09280292445292504, 0.09326693907518964, 0.09373327377056558, 0.09420194013941838, 0.09467294984011544, 0.095146314589316, 0.09562204616226255, 0.09610015639307384, 0.09658065717503919, 0.09706356046091437, 0.09754887826321892, 0.09803662265453499, 0.09852680576780765, 0.09901943979664665, 0.09951453699562987, 0.10001210968060799, 0.10051217022901102, 0.10101473108015604, 0.1015198047355568, 0.10202740375923457, 0.1025375407780307, 0.10305022848192084, 0.10356547962433042, 0.10408330702245205, 0.10460372355756428, 0.10512674217535208, 0.10565237588622882, 0.10618063776565993, 0.1067115409544882, 0.10724509865926063, 0.10778132415255691, 0.10832023077331966, 0.10886183192718624, 0.10940614108682215, 0.10995317179225624, 0.11050293765121748, 0.11105545233947355, 0.11161072960117088, 0.11216878324917672, 0.11272962716542258, 0.11329327530124966, 0.11385974167775588, 0.11442904038614464, 0.11500118558807533, 0.11557619151601568, 0.11615407247359573, 0.11673484283596369, 0.11731851705014348, 0.11790510963539416, 0.1184946351835711, 0.11908710835948894, 0.11968254390128635, 0.12028095662079276, 0.1208823614038967, 0.12148677321091615, 0.1220942070769707, 0.12270467811235553, 0.12331820150291728, 0.12393479251043184, 0.12455446647298396, 0.12517723880534887, 0.12580312499937557, 0.1264321406243724, 0.12706430132749424, 0.1276996228341317, 0.12833812094830233, 0.1289798115530438, 0.129624710610809, 0.130272834163863, 0.1309241983346823, 0.13157881932635568, 0.13223671342298743, 0.13289789699010232, 0.1335623864750528, 0.13423019840742803, 0.13490134939946516, 0.13557585614646245, 0.13625373542719474, 0.13693500410433068, 0.1376196791248523, 0.13830777752047652, 0.13899931640807886, 0.13969431299011922, 0.1403927845550698, 0.14109474847784512, 0.1418002222202343, 0.14250922333133545, 0.1432217694479921, 0.14393787829523202, 0.14465756768670815, 0.14538085552514166, 0.14610775980276733, 0.14683829860178113, 0.14757249009479, 0.14831035254526392, 0.1490519043079902, 0.14979716382953012, 0.15054614964867774, 0.15129888039692108, 0.15205537479890566, 0.15281565167290015, 0.15357972993126462, 0.1543476285809209, 0.15511936672382548, 0.15589496355744456, 0.15667443837523173, 0.15745781056710786, 0.15824509961994337, 0.15903632511804305, 0.15983150674363322, 0.16063066427735137, 0.16143381759873807, 0.16224098668673173, 0.16305219162016535, 0.16386745257826613, 0.16468678984115742, 0.16551022379036318, 0.16633777490931495, 0.1671694637838615, 0.16800531110278077, 0.16884533765829463, 0.16968956434658605, 0.17053801216831896, 0.1713907022291605, 0.17224765574030626, 0.17310889401900775, 0.17397443848910277, 0.17484431068154824, 0.17571853223495593, 0.17659712489613066, 0.17748011052061127, 0.1783675110732143, 0.17925934862858034, 0.18015564537172318, 0.18105642359858176, 0.18196170571657463, 0.18287151424515746, 0.1837858718163832, 0.1847048011754651, 0.18562832518134237, 0.18655646680724902, 0.18748924914128523, 0.1884266953869916, 0.18936882886392653, 0.19031567300824612, 0.19126725137328732, 0.1922235876301537, 0.19318470556830442, 0.1941506290961459, 0.1951213822416266, 0.19609698915283466, 0.1970774740985988, 0.19806286146909174, 0.19905317577643716, 0.2000484416553193, 0.20104868386359584, 0.20205392728291377, 0.2030641969193283, 0.2040795179039249, 0.20509991549344447, 0.20612541507091164, 0.20715604214626615, 0.20819182235699743, 0.20923278146878238, 0.21027894537612624, 0.21133034010300683, 0.2123869918035218, 0.21344892676253938, 0.214516171396352, 0.21558875225333374, 0.21666669601460034, 0.2177500294946733, 0.21883877964214662, 0.2199329735403573, 0.22103263840805903, 0.22213780160009927, 0.2232484906080997, 0.22436473306114016, 0.22548655672644582, 0.226613989510078, 0.22774705945762833, 0.2288857947549164, 0.23003022372869095, 0.23118037484733434, 0.23233627672157095, 0.23349795810517876, 0.2346654478957046, 0.23583877513518306, 0.23701796901085892, 0.23820305885591317, 0.23939407415019268, 0.2405910445209436, 0.24179399974354826, 0.24300296974226593, 0.2442179845909772, 0.24543907451393204, 0.24666626988650164, 0.2478996012359341, 0.2491390992421137, 0.2503847947383242, 0.25163671871201576, 0.2528949023055758, 0.2541593768171036, 0.2554301737011891, 0.256707324569695, 0.2579908611925434, 0.259280815498506, 0.2605772195759985, 0.2618801056738784, 0.2631895062022478, 0.26450545373325896, 0.2658279810019252, 0.2671571209069347, 0.26849290651146934, 0.26983537104402666, 0.27118454789924673, 0.27254047063874287, 0.2739031729919365, 0.27527268885689615, 0.2766490523011806, 0.2780322975626864, 0.2794224590504998, 0.2808195713457522, 0.28222366920248093, 0.28363478754849325, 0.28505296148623566, 0.28647822629366676, 0.287910617425135, 0.28935017051226064, 0.2907969213648219, 0.2922509059716459, 0.29371216050150406, 0.2951807213040115, 0.2966566249105315, 0.2981399080350841, 0.29963060757525944, 0.3011287606131357, 0.30263440441620126, 0.3041475764382822, 0.3056683143204736, 0.30719665589207584, 0.30873263917153615, 0.3102763023673938, 0.31182768387923065, 0.31338682229862674, 0.3149537564101198, 0.31652852519217034, 0.3181111678181311, 0.3197017236572217, 0.32130023227550775, 0.3229067334368852, 0.32452126710406953, 0.32614387343958984, 0.32777459280678767, 0.32941346577082153, 0.3310605330996756, 0.3327158357651739, 0.3343794149439997, 0.33605131201871963, 0.33773156857881315, 0.3394202264217071, 0.3411173275538156, 0.34282291419158456, 0.3445370287625424, 0.346259713906355, 0.3479910124758867, 0.3497309675382661, 0.3514796223759573, 0.35323702048783706, 0.35500320559027615, 0.3567782216182274, 0.3585621127263185, 0.36035492328995, 0.36215669790639965, 0.3639674813959316, 0.36578731880291115, 0.3676162553969256, 0.36945433667391014, 0.37130160835727966, 0.37315811639906593, 0.3750239069810612, 0.3768990265159664, 0.3787835216485462, 0.3806774392567888, 0.3825808264530727, 0.3844937305853379, 0.38641619923826453, 0.3883482802344558, 0.3902900216356279, 0.39224147174380597, 0.39420267910252493, 0.39617369249803747, 0.39815456096052754, 0.4001453337653301, 0.4021460604341567, 0.4041567907363274, 0.4061775746900089, 0.40820846256345883, 0.41024950487627604, 0.41230075240065733, 0.41436225616266054, 0.4164340674434737, 0.418516237780691, 0.42060881896959434, 0.42271186306444225, 0.42482542237976434, 0.4269495494916631, 0.4290842972391213, 0.4312297187253168, 0.4333858673189433, 0.43555279665553787, 0.4377305606388155, 0.43991921344200946, 0.4421188095092194, 0.44432940355676537, 0.44655105057454914, 0.4487838058274218, 0.4510277248565588, 0.45328286348084146, 0.45554927779824556, 0.4578270241872367, 0.46011615930817273, 0.4624167401047135, 0.46472882380523695, 0.467052467924263, 0.46938773026388425, 0.47173466891520355, 0.47409334225977945, 0.47646380897107826, 0.4788461280159335, 0.4812403586560131, 0.48364656044929305, 0.4860647932515394, 0.488495117217797, 0.4909375928038859, 0.49339228076790514, 0.4958592421717446, 0.49833853838260317, 0.5008302310745161, 0.5033343822298886, 0.5058510541410379, 0.508380309411743, 0.5109222109588015, 0.5134768220135955, 0.5160442061236633, 0.5186244271542815, 0.5212175492900528, 0.5238236370365029, 0.5264427552216853, 0.5290749689977936, 0.5317203438427824, 0.5343789455619963, 0.5370508402898061, 0.539736094491255, 0.5424347749637112, 0.5451469488385295, 0.5478726835827221, 0.5506120470006356, 0.5533651072356387, 0.5561319327718167, 0.5589125924356757, 0.5617071553978539, 0.564515691174843, 0.5673382696307171, 0.5701749609788705, 0.5730258357837648, 0.5758909649626835, 0.5787704197874968, 0.5816642718864341, 0.5845725932458662, 0.5874954562120953, 0.5904329334931557, 0.5933850981606213, 0.5963520236514244, 0.5993337837696813, 0.6023304526885296, 0.605342104951972, 0.6083688154767318, 0.6114106595541153, 0.6144677128518857, 0.617540051416145, 0.6206277516732256, 0.6237308904315916, 0.6268495448837494, 0.6299837926081681, 0.6331337115712087, 0.6362993801290646, 0.6394808770297098, 0.6426782814148582, 0.6458916728219323, 0.6491211311860419, 0.6523667368419719, 0.6556285705261816, 0.6589067133788123, 0.6622012469457063, 0.6655122531804346, 0.6688398144463367, 0.6721840135185682, 0.6755449335861609, 0.6789226582540915, 0.6823172715453618, 0.6857288579030885, 0.6891575021926037, 0.6926032897035665, 0.6960663061520843, 0.6995466376828445, 0.7030443708712586, 0.7065595927256147, 0.7100923906892427, 0.7136428526426887, 0.717211066905902, 0.7207971222404314, 0.7244011078516333, 0.7280231133908913, 0.7316632289578455, 0.7353215451026346, 0.7389981528281476, 0.7426931435922882, 0.7464066093102495, 0.7501386423568005, 0.7538893355685844, 0.7576587822464271, 0.761447076157659, 0.7652543115384471, 0.7690805830961392, 0.7729259860116198, 0.7767906159416776, 0.7806745690213859, 0.7845779418664927, 0.788500831575825, 0.7924433357337038, 0.7964055524123722, 0.8003875801744339, 0.8043895180753059, 0.8084114656656822, 0.8124535229940104, 0.8165157906089803, 0.820598369562025, 0.824701361409835, 0.828824868216884, 0.8329689925579682, 0.8371338375207578, 0.8413195067083614, 0.845526104241903, 0.8497537347631123, 0.8540025034369276, 0.8582725159541121, 0.8625638785338825, 0.8668766979265516, 0.8712110814161842, 0.8755671368232649, 0.8799449725073811, 0.8843446973699178, 0.8887664208567672, 0.8932102529610508, 0.8976763042258559, 0.9021646857469849, 0.9066755091757196, 0.911208886721598, 0.9157649311552059, 0.9203437558109816, 0.9249454745900363, 0.9295702019629862, 0.934218052972801, 0.9388891432376648, 0.9435835889538529, 0.9483015068986219, 0.9530430144331148, 0.9578082295052802, 0.9625972706528063, 0.9674102570060702, 0.9722473082911003, 0.9771085448325556, 0.9819940875567181, 0.9869040579945014, 0.9918385782844737, 0.9967977711758959, 1.001781760031775, 1.0067906688319337, 1.0118246221760931, 1.0168837452869735, 1.0219681640134082, 1.027078004833475, 1.032213394857642, 1.03737446183193, 1.0425613341410893, 1.0477741408117947, 1.0530130115158534, 1.0582780765734323, 1.0635694669562992, 1.0688873142910804, 1.0742317508625356, 1.079602909616848, 1.085000924164932, 1.0904259287857565, 1.095878058429685, 1.1013574487218332, 1.1068642359654421, 1.112398557145269, 1.117960549930995, 1.1235503526806498, 1.129168104444053, 1.1348139449662729, 1.1404880146911038, 1.1461904547645592, 1.1519214070383816, 1.1576810140735734, 1.163469419143941, 1.1692867662396604, 1.1751332000708585, 1.1810088660712124, 1.1869139104015682, 1.192848479953576, 1.1988127223533434, 1.20480678596511, 1.2108308198949351, 1.2168849739944094, 1.2229693988643813, 1.2290842458587028, 1.235229667087996, 1.2414058154234358, 1.2476128445005528, 1.2538509087230552, 1.26012016326667, 1.2664207640830032, 1.272752867903418, 1.2791166322429348, 1.2855122154041492, 1.2919397764811695, 1.298399475363575, 1.3048914727403926, 1.3114159301040944, 1.3179730097546145, 1.3245628748033873, 1.3311856891774039, 1.3378416176232906, 1.3445308257114068, 1.3512534798399634, 1.358009747239163, 1.3647997959753584, 1.371623794955235, 1.3784819139300108, 1.3853743234996605, 1.3923011951171584, 1.399262701092744, 1.4062590145982075, 1.4132903096711982, 1.4203567612195538, 1.4274585450256512, 1.434595837750779, 1.4417688169395326, 1.44897766102423, 1.4562225493293508, 1.4635036620759971, 1.4708211803863769, 1.4781752862883084, 1.4855661627197496, 1.492993993533348, 1.5004589635010144, 1.5079612583185191, 1.5155010646101115, 1.5230785699331615, 1.530693962782827, 1.5383474325967408, 1.5460391697597242, 1.5537693656085225, 1.5615382124365647, 1.5693459034987471, 1.5771926330162405, 1.5850785961813214, 1.5930039891622276, 1.6009690091080384, 1.608973854153578, 1.6170187234243456, 1.6251038170414671, 1.633229336126674, 1.641395482807307, 1.649602460221343, 1.6578504725224494, 1.6661397248850613, 1.6744704235094863, 1.6828427756270332, 1.6912569895051681, 1.6997132744526935, 1.7082118408249565, 1.7167529000290809, 1.725336664529226, 1.7339633478518717, 1.7426331645911306, 1.751346330414086, 1.760103062066156, 1.7689035773764863, 1.7777480952633684, 1.7866368357396847, 1.7955700199183828, 1.8045478700179742, 1.8135706093680637, 1.8226384624149037, 1.8317516547269777, 1.8409104130006122, 1.8501149650656148, 1.8593655398909423, 1.8686623675903966, 1.8780056794283482, 1.8873957078254895, 1.8968326863646165, 1.9063168497964391, 1.915848434045421, 1.9254276762156477, 1.9350548145967255, 1.9447300886697085, 1.9544537391130568, 1.9642260078086216, 1.974047137847664, 1.983917373536902, 1.993836960404586, 2.0038061452066085, 2.013825175932641, 2.023894301812304, 2.034013773321365, 2.0441838421879712, 2.0544047613989105, 2.0646767852059047, 2.0750001691319335, 2.085375169977593, 2.0958020458274804, 2.106281056056617, 2.1168124613368997, 2.127396523643584, 2.1380335062618014, 2.1487236737931097, 2.159467292162075, 2.170264628622885, 2.1811159517659986, 2.192021531524828, 2.2029816391824517, 2.2139965473783634, 2.225066530115255, 2.2361918627658306, 2.2473728220796594, 2.258609686190057, 2.269902734621007, 2.2812522482941113, 2.292658509535581, 2.304121802083259, 2.3156424110936746, 2.327220623149142, 2.3388567262648876, 2.3505510098962112, 2.362303764945692, 2.37411528377042, 2.385985860189271, 2.397915789490217, 2.4099053684376677, 2.4219548952798555, 2.4340646697562542, 2.4462349931050347, 2.4584661680705593, 2.4707584989109117, 2.4831122914054657, 2.4955278528624922, 2.5080054921268045, 2.5205455195874378, 2.533148247185374, 2.5458139884213007, 2.5585430583634063, 2.571335773655223, 2.5841924525234985, 2.5971134147861155, 2.6100989818600455, 2.623149476769345, 2.636265224153191, 2.6494465502739564, 2.6626937830253254, 2.6760072519404514, 2.689387288200153, 2.7028342246411534, 2.7163483957643586, 2.7299301377431795, 2.743579788431895, 2.7572976873740536, 2.7710841758109233, 2.7849395966899775, 2.7988642946734266, 2.812858616146793, 2.8269229092275263, 2.8410575237736633, 2.855262811392531, 2.869539125449493, 2.88388682107674, 2.898306255182123, 2.912797786458033, 2.9273617753903225, 2.941998584267273, 2.956708577188609, 2.971492120074551, 2.9863495806749234, 3.001281328578297, 3.016287735221188, 3.031369173897293, 3.046526019766779, 3.061758649865612, 3.0770674431149394, 3.0924527803305137, 3.1079150442321652, 3.1234546194533257, 3.1390718925505916, 3.1547672520133436, 3.1705410882734095, 3.186393793714776, 3.202325762683349, 3.2183373914967652, 3.234429078454248, 3.2506012238465187, 3.2668542299657504, 3.2831885011155784, 3.299604443621156, 3.3161024658392604, 3.332682978168456, 3.3493463930592977, 3.366093125024593, 3.3829235906497157, 3.3998382086029633, 3.4168373996459773, 3.4339215866442063, 3.4510911945774265, 3.468346650550313, 3.4856883838030637, 3.503116825722078, 3.520632409850688, 3.5382355718999405, 3.5559267497594393, 3.573706383508236, 3.591574915425776, 3.609532790002904, 3.627580453952918, 3.6457183562226816, 3.6639469480037943, 3.682266682743812, 3.7006780161575303, 3.719181406238317, 3.737777313269508, 3.7564661998358546, 3.7752485308350328, 3.7941247734892074, 3.8130953973566526, 3.832160874343435, 3.851321678715151, 3.8705782871087258, 3.8899311785442685, 3.909380834436989, 3.928927738609173, 3.948572377302218, 3.9683152391887284, 3.988156815384671, 4.0080975994615935, 4.028138087458901, 4.048278777896194, 4.068520171785674, 4.088862772644601, 4.109307086507823, 4.129853621940362, 4.1505028900500625, 4.171255404500312, 4.192111681522812, 4.213072239930425, 4.234137601130077, 4.255308289135726, 4.276584830581403, 4.29796775473431, 4.31945759350798, 4.341054881475519, 4.362760155882896, 4.384573956662309, 4.40649682644562, 4.428529310577847, 4.450671957130735, 4.472925316916387, 4.4952899435009686, 4.517766393218472, 4.540355225184563, 4.563057001310486, 4.585872286317037, 4.608801647748621, 4.631845655987363, 4.655004884267298, 4.678279908688634, 4.7016713082320765, 4.725179664773235, 4.7488055630971004, 4.772549590912585, 4.796412338867147, 4.820394400561481, 4.844496372564287, 4.868718854427108, 4.893062448699243, 4.917527760942738, 4.94211539974745, 4.966825976746186, 4.991660106629916, 5.016618407163064, 5.041701499198876, 5.066910006694871, 5.092244556728348, 5.117705779511986, 5.1432943084095415, 5.1690107799515905, 5.19485583385135, 5.220830113020603, 5.246934263585702, 5.273168934903632, 5.299534779578152, 5.326032453476039, 5.352662615743415, 5.379425928822133, 5.406323058466246, 5.433354673758573, 5.460521447127362, 5.487824054363, 5.515263174634816, 5.542839490507986, 5.570553687960522, 5.598406456400326, 5.626398488682329, 5.654530481125737, 5.682803133531362, 5.71121714919902, 5.739773234945017, 5.7684721011197375, 5.797314461625332, 5.82630103393346, 5.855432539103129, 5.8847097017986405, 5.914133250307629, 5.943703916559169, 5.973422436141966, 6.003289548322671, 6.03330599606428, 6.063472526044603, 6.093789888674828, 6.124258838118198, 6.154880132308785, 6.1856545329703305, 6.216582805635183, 6.247665719663355, 6.2789040482616665, 6.310298568502977, 6.341850061345494, 6.373559311652216, 6.405427108210473, 6.437454243751527, 6.469641514970286, 6.501989722545133, 6.534499671157854, 6.567172169513645, 6.600008030361215, 6.633008070513016, 6.666173110865576, 6.699503976419906, 6.733001496302007, 6.7666665037835125, 6.800499836302425, 6.834502335483939, 6.86867484716136, 6.903018221397162, 6.937533312504143, 6.972220979066665, 7.0070820839620005, 7.042117494381806, 7.077328081853709, 7.11271472226298, 7.148278295874297, 7.184019687353663, 7.219939785790426, 7.25603948471938, 7.2923196821429785, 7.328781280553688, 7.365425186956451, 7.402252312891235, 7.439263574455694, 7.476459892327967, 7.513842191789601, 7.551411402748551, 7.589168459762297, 7.627114302061102, 7.665249873571402, 7.7035761229392605, 7.74209400355396, 7.780804473571723, 7.819708495939576, 7.858807038419276, 7.898101073611375, 7.937591578979426, 7.977279536874317, 8.01716593455869, 8.057251764231486, 8.097538023052637, 8.138025713167895, 8.178715841733737, 8.219609420942408, 8.260707468047114, 8.302011005387342, 8.343521060414282, 8.385238665716356, 8.427164859044932, 8.46930068334015, 8.511647186756854, 8.55420542269064, 8.596976449804087, 8.639961332053101, 8.683161138713368, 8.726576944406938, 8.770209829128966, 8.814060878274605, 8.85813118266598, 8.902421838579313, 8.946933947772202, 8.991668617511056, 9.036626960598614, 9.08181009540161, 9.12721914587861, 9.172855241607998, 9.218719517816039, 9.264813115405122, 9.311137180982142, 9.357692866887046, 9.404481331221483, 9.451503737877593, 9.498761256566974, 9.546255062849802, 9.593986338164054, 9.641956269854877, 9.690166051204143, 9.738616881460157, 9.787309965867461, 9.8362465156968, 9.885427748275278, 9.934854887016646, 9.984529161451732, 10.034451807258995, 10.084624066295282, 10.13504718662675, 10.185722422559886, 10.23665103467269, 10.287834289846044, 10.339273461295267, 10.390969828601747, 10.442924677744758, 10.495139301133474, 10.547614997639133, 10.600353072627332, 10.653354837990472, 10.706621612180417, 10.76015472024131, 10.81395549384252, 10.868025271311735, 10.922365397668287, 10.97697722465662, 11.031862110779906, 11.087021421333809, 11.14245652844047, 11.198168811082663, 11.25415965513808, 11.310430453413773, 11.366982605680834, 11.42381751870923, 11.480936606302778, 11.538341289334296, 11.59603299578096, 11.654013160759854, 11.712283226563658, 11.77084464269648, 11.829698865909952, 11.888847360239494, 11.948291597040694, 12.008033055025901, 12.068073220301022, 12.128413586402518, 12.189055654334535, 12.25000093260621, 12.311250937269232, 12.37280719195557, 12.43467122791535, 12.49684458405493, 12.559328806975195, 12.622125451010062, 12.685236078265117, 12.748662258656445, 12.812405569949718, 12.876467597799458, 12.940849935788458, 13.005554185467403, 13.070581956394731, 13.135934866176695, 13.201614540507583, 13.267622613210124, 13.333960726276164, 13.400630529907536, 13.467633682557077, 13.534971850969866, 13.602646710224706, 13.670659943775819, 13.739013243494702, 13.80770830971218, 13.87674685126073, 13.946130585517023, 14.015861238444613, 14.08594054463684, 14.156370247360012, 14.227152098596802, 14.29828785908979, 14.369779298385243, 14.44162819487716, 14.513836335851535, 14.586405517530796, 14.659337545118454, 14.732634232844035, 14.806297404008244, 14.88032889102829, 14.954730535483435, 15.02950418816084, 15.104651709101635, 15.180174967647146, 15.256075842485387, 15.332356221697802, 15.40901800280628, 15.486063092820315, 15.56349340828442, 15.641310875325832, 15.71951742970245, 15.798115016850966, 15.877105591935225, 15.95649111989489, 16.036273575494352, 16.116454943371828, 16.197037218088692, 16.278022404179122, 16.359412516200006, 16.441209578781013, 16.52341562667492, 16.606032704808282, 16.68906286833231, 16.772508182673977, 16.856370723587354, 16.940652577205277, 17.02535584009129, 17.11048261929175, 17.196035032388217, 17.282015207550145, 17.368425283587882, 17.455267410005828, 17.54254374705586, 17.630256465791128, 17.718407748120068, 17.806999786860676, 17.89603478579498, 17.985514959723943, 18.07544253452255, 18.16581974719517, 18.25664884593115, 18.347932090160793, 18.43967175061158, 18.531870109364643, 18.62452945991147, 18.717652107211016, 18.811240367747057, 18.905296569585797, 18.999823052433733, 19.094822167695888, 19.19029627853435, 19.28624775992703, 19.38267899872667, 19.47959239372029, 19.576990355688874, 19.674875307467325, 19.773249684004668, 19.872115932424677, 19.971476512086785, 20.071333894647225, 20.171690564120468, 20.272549016941053, 20.373911762025745, 20.47578132083588, 20.578160227440062, 20.681051028577247, 20.784456283720118, 20.888378565138726, 20.992820457964424, 21.097784560254233, 21.203273483055487, 21.30928985047077, 21.41583629972313, 21.52291548122173, 21.630530058627823, 21.73868270892097, 21.84737612246558, 21.95661300307789, 22.066396068093262, 22.176728048433734, 22.28761168867591, 22.399049747119275, 22.511044995854853, 22.623600220834135, 22.73671822193831, 22.850401813047984, 22.96465382211321, 23.07947709122378, 23.194874476679907, 23.310848849063287, 23.427403093308588, 23.544540108775138, 23.66226280931902, 23.780574123365597, 23.899476993982407, 24.018974378952326, 24.139069250847093, 24.259764597101313, 24.3810634200868, 24.502968737187242, 24.625483580873183, 24.748610998777533, 24.8723540537714, 24.996715824040265, 25.121699403160473, 25.247307900176256, 25.37354443967712, 25.500412161875513, 25.627914222684897, 25.7560537937983, 25.884834062767275, 26.01425823308112, 26.14432952424653, 26.275051171867744, 26.406426427727062, 26.538458559865706, 26.671150852665043, 26.804506606928346, 26.93852913996297, 27.073221785662792, 27.208587894591112, 27.34463083406405, 27.481353988234346, 27.618760758175526, 27.756854561966414, 27.895638834776225, 28.035117028950083, 28.175292614094843, 28.316169077165323, 28.45774992255113, 28.600038672163866, 28.743038865524692, 28.886754059852322, 29.031187830151563, 29.1763437693023, 29.32222548814882, 29.46883661558957, 29.616180798667497, 29.764261702660814, 29.913083011174127, 30.062648426230005, 30.21296166836113, 30.364026476702914, 30.515846609086438, 30.668425842131878, 30.821767971342517, 30.975876811199207, 31.13075619525521, 31.286409976231496, 31.44284202611263, 31.60005623624317, 31.758056517424393, 31.916846800011523, 32.076431034011556, 32.23681318918159, 32.39799725512751, 32.55998724140316, 32.722787177610144, 32.886401113498174, 33.05083311906567, 33.21608728466101, 33.38216772108429, 33.54907855968969, 33.71682395248815, 33.8854080722506, 34.054835112611826, 34.225109288174856, 34.39623483461574, 34.56821600878883, 34.74105708883275, 34.91476237427688, 35.08933618614828, 35.264782867079035, 35.4411067814144, 35.61831231532145, 35.79640387689806, 35.97538589628256, 36.15526282576395, 36.33603913989274, 36.51771933559222, 36.700307932270185, 36.883809471931514, 37.06822851929114, 37.25356966188761, 37.43983751019706, 37.62703669774801, 37.81517188123672, 38.00424774064292, 38.19426897934614, 38.385240324242844, 38.57716652586403, 38.770052358493366, 38.96390262028584, 39.15872213338724, 39.35451574405415, 39.55128832277443, 39.749044764388316, 39.947789988210225, 40.14752893815125, 40.348266582842015, 40.55000791575623, 40.752757955334985, 40.95652174511163, 41.1613043538372, 41.3671108756064, 41.573946429984396, 41.78181616213429, 41.990725242944976, 42.20067886915971, 42.411682263505476, 42.623740674822976, 42.8368593781971, 43.051043675088096, 43.26629889346351, 43.48263038793079, 43.70004353987046, 43.91854375756982, 44.13813647635764, 44.358827158739395, 44.5806212945331, 44.80352440100578, 45.027542023010774, 45.252679733125795, 45.47894313179144, 45.706337847450406, 45.93486953668763, 46.16454388437103, 46.395366603792894, 46.62734343681188, 46.8604801539959, 47.09478255476584, 47.330256467539684, 47.5669077498774, 47.80474228862675, 48.04376600006985, 48.28398483007021, 48.525404754220574, 48.768031777991645, 49.01187193688156, 49.25693129656599, 49.50321595304883, 49.750732032814035, 49.99948569297807, 50.24948312144297, 50.5007305370502, 50.753234189735416, 51.00700036068405, 51.26203536248749, 51.51834553929994, 51.7759372669964, 52.034816953331344, 52.29499103809802, 52.55646599328852, 52.819248323254925, 53.08334456487116, 53.34876128769553, 53.61550509413402, 53.88358261960465, 54.153000532702634, 54.423765535366165, 54.695884363043014, 54.96936378485819, 55.244210603782435, 55.520431656801364, 55.79803381508539, 56.077023984160775, 56.35740910408153, 56.63919614960196, 56.922392130349984, 57.20700409100169, 57.49303911145665, 57.780504307013956, 58.06940682854904, 58.35975386269175, 58.651552632005156, 58.9448103951652, 59.23953444714105, 59.5357321193767, 59.83341077997354, 60.13257783387343, 60.433240723042815, 60.73540692665798, 61.039083961291226, 61.3442793810977, 61.65100077800321, 61.95925578189318, 62.26905206080259, 62.580397321106624, 62.89329930771218, 63.20776580425069, 63.523804633271894, 63.84142365643827, 64.16063077472049, 64.48143392859404, 64.80384109823696, 65.12786030372816, 65.45349960524682, 65.780767103273, 66.10967093878932, 66.44021929348328, 66.77242038995072, 67.10628249190043, 67.44181390435988, 67.7790229738817, 68.11791808875113, 68.45850767919482, 68.80080021759075, 69.14480421867873, 69.49052823977213, 69.83798088097095, 70.18717078537576, 70.53810663930265, 70.89079717249918, 71.24525115836163, 71.60147741415338, 71.95948480122416, 72.31928222523031, 72.68087863635641, 73.04428302953814, 73.40950444468585, 73.7765519669093, 74.14543472674379, 74.51616190037745, 74.88874270987935, 75.26318642342878, 75.63950235554586, 76.01769986732353, 76.39778836666018, 76.7797773084935, 77.1636761950359, 77.54949457601103, 77.93724204889111, 78.32692825913558, 78.71856290043121, 79.1121557149333, 79.50771649350798, 79.90525507597555, 80.30478135135537, 80.70630525811208, 81.10983678440267, 81.51538596832471, 81.92296289816626, 82.33257771265704, 82.74424060122034, 83.15796180422647, 83.57375161324754, 83.99162037131372, 84.41157847317031, 84.83363636553618, 85.2578045473638, 85.68409357010056, 86.11251403795109, 86.54307660814086, 86.97579199118151, 87.41067095113735, 87.84772430589305, 88.28696292742255, 88.7283977420596, 89.17203973076982, 89.6178999294237, 90.06598942907084, 90.51631937621613, 90.96890097309715, 91.42374547796265, 91.8808642053525, 92.34026852637919, 92.80196986901102, 93.26597971835609, 93.7323096169479, 94.20097116503257, 94.67197602085767, 95.14533590096198, 95.62106258046681, 96.09916789336908, 96.57966373283585, 97.06256205150007, 97.54787486175759, 98.03561423606631, 98.52579230724656, 99.01842126878282, 99.51351337512676, 100.01108094200232, 100.51113634671226, 101.01369202844585, 101.51876048858811, 102.02635429103097, 102.53648606248605, 103.04916849279851, 103.56441433526253, 104.08223640693876, 104.60264758897338, 105.12566082691828, 105.6512891310529, 106.17954557670808, 106.71044330459155, 107.24399552111454, 107.78021549872014, 108.31911657621366, 108.86071215909465, 109.40501571989014, 109.95204079848963, 110.501801002482, 111.05431000749432, 111.60958155753183, 112.16762946531952, 112.72846761264603, 113.29210995070918, 113.85857050046276, 114.4278633529651, 115.00000266972984, 115.57500268307841, 116.15287769649383, 116.73364208497632, 117.31731029540113, 117.90389684687804, 118.49341633111247, 119.08588341276807, 119.68131282983181, 120.27971939398088, 120.88111799095083, 121.4855235809056, 122.09295119881004, 122.703415954804, 123.31693303457806, 123.93351769975098, 124.55318528824965, 125.1759512146908, 125.80183097076429, 126.43084012561815, 127.06299432624614, 127.69830929787729, 128.3368008443667, 128.97848484858858, 129.62337727283142, 130.27149415919547, 130.9228516299915, 131.5774658881415, 132.2353532175821, 132.89652998366992, 133.5610126335883, 134.22881769675627, 134.89996178523995, 135.57446159416605, 136.2523339021369, 136.93359557164766, 137.61826354950577, 138.30635486725322, 138.9978866415895, 139.6928760747975, 140.3913404551714, 141.09329715744713, 141.79876364323442, 142.50775746145064, 143.22029624875776, 143.93639773000146, 144.6560797186515, 145.3793601172448, 146.1062569178309, 146.83678820241997, 147.5709721434321, 148.3088270041493, 149.05037113916993, 149.79562299486568, 150.54460110984004, 151.2973241153893, 152.05381073596612, 152.81407978964583, 153.57815018859412, 154.34604093953712, 155.1177711442347, 155.89335999995575, 156.67282679995557, 157.4561909339554, 158.24347188862507, 159.03468924806808, 159.82986269430845, 160.62901200778003, 161.43215706781882, 162.2393178531578, 163.05051444242363, 163.8657670146358, 164.68509584970886, 165.50852132895727, 166.3360639356021, 167.16774425528016, 168.00358297655643, 168.84360089143908, 169.68781889589633, 170.53625799037587, 171.3889392803276, 172.24588397672912, 173.10711339661282, 173.97264896359593, 174.84251220841378, 175.7167247694557, 176.59530839330304, 177.4782849352696, 178.36567635994584, 179.25750474174544, 180.1537922654542, 181.05456122678152, 181.9598340329153, 182.86963320307973, 183.7839813690952, 184.70290127594072, 185.6264157823203, 186.55454786123175, 187.48732060053794, 188.4247572035407, 189.36688098955827, 190.31371539450592, 191.26528397147848, 192.22161039133593, 193.1827184432925, 194.1486320355088, 195.1193751956864, 196.09497207166487, 197.07544693202306, 198.06082416668303, 199.0511282875165, 200.04638392895413, 201.04661584859875, 202.0518489278416, 203.06210817248086, 204.07741871334332, 205.0978058069099, 206.12329483594428, 207.15391131012407, 208.18968086667473, 209.23062927100796, 210.27678241736285, 211.32816632944972, 212.38480716109703, 213.44673119690236, 214.51396485288672, 215.5865346771512, 216.66446735053702, 217.74778968728955, 218.8365286357258, 219.9307112789045, 221.0303648352991, 222.13551665947543, 223.24619424277265, 224.36242521398657, 225.48423734005655, 226.61165852675668, 227.7447168193903, 228.8834404034873, 230.0278576055048, 231.17799689353217, 232.33388687799965, 233.4955563123897, 234.66303409395172, 235.8363492644213, 237.01553101074325, 238.20060866579703, 239.39161170912607, 240.58856976767154, 241.79151261650972, 243.00047017959233, 244.21547253049036, 245.43654989314263, 246.66373264260815, 247.89705130582126, 249.13653656235044, 250.38221924516202, 251.63413034138762, 252.89230099309464, 254.15676249806017, 255.4275463105503, 256.7046840421028, 257.9882074623134, 259.2781484996251, 260.574539242123, 261.8774119383334, 263.18679899802515, 264.5027329930154, 265.82524665798024, 267.15437289126993, 268.49014475572636, 269.8325954795051, 271.1817584569024, 272.5376672491867, 273.90035558543275, 275.26985736335996, 276.64620665017657, 278.02943768342726, 279.41958487184445, 280.81668279620374, 282.2207662101846, 283.6318700412353, 285.0500293914415, 286.4752795383988, 287.9076559360906, 289.34719421577086, 290.79393018684976, 292.24789983778413, 293.70913933697284, 295.17768503365744, 296.6535734588258, 298.13684132612, 299.62752553275044, 301.1256631604139, 302.6312914762161, 304.1444479335973, 305.66517017326504, 307.19349602413115, 308.72946350425184, 310.27311082177323, 311.82447637588183, 313.38359875776104, 314.9505167515499, 316.52526933530777, 318.1078956819841, 319.69843516039373, 321.2969273361958, 322.9034119728769, 324.517929032741, 326.1405186779045, 327.7712212712941, 329.4100773776506, 331.0571277645387, 332.7124134033611, 334.375975470378, 336.04785534773, 337.7280946244684, 339.41673509759045, 341.11381877307855, 342.819387866944, 344.53348480627847, 346.2561522303096, 347.9874329914613, 349.72737015641866, 351.4760070072005, 353.23338704223625, 354.99955397744753, 356.77455174733484, 358.5584245060713, 360.3512166286013, 362.15297271174444, 363.9637375753033, 365.78355626317955, 367.6124740444952, 369.4505364147177, 371.2977890967914, 373.1542780422751, 375.0200494324862, 376.89514967964874, 378.7796254280471, 380.67352355518705, 382.5768911729627, 384.4897756288276, 386.4122245069718, 388.34428562950643, 390.28600705765365, 392.23743709294206, 394.19862427840684, 396.1696173997986, 398.1504654867973, 400.1412178142314, 402.14192390330265, 404.15263352281886, 406.1733966904327, 408.20426367388495, 410.2452849922545, 412.29651141721547, 414.3579939743012, 416.42978394417287, 418.51193286389383, 420.604492528213, 422.7075149908537, 424.82105256580815, 426.94515782863726, 429.0798836177802, 431.22528303586876, 433.3814094510482, 435.54831649830356, 437.72605808079476, 439.9146883711984, 442.1142618130545, 444.3248331221199, 446.54645728773016, 448.7791895741685, 451.0230855220395, 453.2782009496498, 455.54459195439773, 457.82231491416934, 460.11142648874034, 462.41198362118416, 464.7240435392897, 467.04766375698586, 469.3829020757709, 471.72981658614987, 474.0884656690803, 476.45890799742534, 478.8412025374126, 481.2354085500998, 483.64158559284994, 486.0597935208138, 488.49009248841804, 490.93254295086024, 493.3872056656142, 495.85414169394187, 498.33341240241174, 500.82507946442394, 503.32920486174567, 505.84585088605405, 508.37508014048393, 510.916955541187, 513.4715403188926, 516.0388980204866, 518.6190925105898, 521.2121879731424, 523.8182489130077, 526.4373401575723, 529.0695268583597, 531.7148744926523, 534.3734488651152, 537.0453161094403, 539.7305426899882, 542.4291954034377, 545.1413413804545, 547.8670480873564, 550.6063833277927, 553.3594152444324, 556.1262123206542, 558.9068433822571, 561.7013775991691, 564.5098844871645, 567.3324339095999, 570.1690960791475, 573.0199415595428, 575.8850412673412, 578.7644664736775, 581.6582888060454, 584.5665802500764, 587.4894131513264, 590.4268602170825, 593.3789945181676, 596.3458894907579, 599.3276189382125, 602.3242570329031, 605.3358783180672, 608.3625577096583, 611.4043704982062, 614.4613923506968, 617.5336993124498, 620.6213678090115, 623.7244746480575, 626.8430970212972, 629.9773125064032, 633.1271990689361, 636.2928350642803, 639.4742992396012, 642.6716707357988, 645.8850290894773, 649.1144542349256, 652.3600265060996, 655.6218266386297, 658.8999357718237, 662.1944354506824, 665.5054076279353, 668.8329346660744, 672.1770993394043, 675.5379848361022, 678.9156747602822, 682.310253134083, 685.7218043997544, 689.1504134217527, 692.596165488861, 696.0591463163047, 699.5394420478857, 703.0371392581261, 706.5523249544161, 710.0850865791878, 713.6355120120846, 717.2036895721444, 720.7897080200047, 724.3936565601041, 728.0156248429041, 731.6557029671196, 735.3139814819547, 738.9905513893639, 742.6855041463117, 746.3989316670427, 750.1309263253773, 753.8815809570036, 757.650988861788, 761.439243806098, 765.246440025128, 769.072672225253, 772.9180355863803, 776.7826257643117, 780.6665388931326, 784.5698715875976, 788.4927209455351, 792.4351845502638, 796.3973604730145, 800.379347275379, 804.381244011757, 808.4031502318151, 812.4451659829735, 816.5073918128878, 820.5899287719517, 824.6928784158125, 828.8163428078909, 832.9604245219298, 837.1252266445406, 841.3108527777626, 845.5174070416508, 849.7449940768585, 853.993719047242, 858.2636876424795, 862.5550060806912, 866.867781111094, 871.2021200166506, 875.5581306167331, 879.9359212698162, 884.3356008761646, 888.7572788805447, 893.2010652749486, 897.6670706013227, 902.1554059543287, 906.6661829841015, 911.1995138990213, 915.7555114685158, 920.3342890258576, 924.9359604709863, 929.5606402733424, 934.2084434747085, 938.8794856920813, 943.5738831205429, 948.2917525361449, 953.0332112988249, 957.7983773553184, 962.5873692420943, 967.4003060883059, 972.2373076187467, 977.0984941568398, 981.9839866276252, 986.8939065607626, 991.8283760935657, 996.7875179740328, 1001.7714555639022, 1006.780312841723, 1011.8142144059309, 1016.8732854779598, 1021.957651905351, 1027.0674401648769, 1032.2027773657005, 1037.3637912525282, 1042.5506102087902, 1047.7633632598354, 1053.0021800761338, 1058.2671909765138, 1063.5585269313976, 1068.876319566054, 1074.2207011638834, 1079.591804669702, 1084.9897636930498, 1090.4147125115164, 1095.8667860740732, 1101.3461200044426, 1106.8528506044663, 1112.3871148574879, 1117.9490504317744, 1123.5387956839324, 1129.1564896623513, 1134.8022721106645, 1140.476283471217, 1146.1786648885723, 1151.9095582130167, 1157.6691060040807, 1163.4574515341003, 1169.27473879177, 1175.121112485728, 1180.996718048158, 1186.901701638398, 1192.836210146589, 1198.8003911973237, 1204.7943931533093, 1210.818365119075, 1216.8724569446695, 1222.956819229392, 1229.0716033255405, 1235.2169613421672, 1241.3930461488771, 1247.6000113796233, 1253.8380114365204, 1260.1072014937022, 1266.4077375011695, 1272.7397761886746, 1279.1034750696197, 1285.4989924449667, 1291.9264874071905, 1298.3861198442282, 1304.8780504434485, 1311.4024406956646, 1317.959452899142, 1324.5492501636368, 1331.1719964144568, 1337.827856396528, 1344.5169956785096, 1351.2395806569039, 1357.9957785601875, 1364.7857574529874, 1371.6096862402512, 1378.4677346714516, 1385.3600733448106, 1392.2868737115336, 1399.2483080800903, 1406.2445496204925, 1413.2757723685938, 1420.3421512304358, 1427.4438619865869, 1434.5810812965187, 1441.7539867030032, 1448.9627566365173, 1456.2075704196986, 1463.4886082717992, 1470.806051313157, 1478.1600815697218, 1485.5508819775691, 1492.978636387456, 1500.4435295693952, 1507.945747217241, 1515.4854759533262, 1523.0629033330947, 1530.678217849759, 1538.3316089390066, 1546.0232669837005, 1553.753383318618, 1561.522150235213, 1569.329760986388, 1577.1764097913187, 1585.0622918402773, 1592.9876032994775, 1600.9525413159738, 1608.9573040225525, 1617.002090542664, 1625.0871009953794, 1633.212536500355, 1641.3785991828559, 1649.5854921787723, 1657.8334196396647, 1666.1225867378619, 1674.45319967155, 1682.8254656699064, 1691.239592998258, 1699.695790963248, 1708.1942699180631, 1716.7352412676557, 1725.3189174739928, 1733.9455120613613, 1742.615239621667, 1751.328315819774, 1760.084957398875, 1768.8853821858681, 1777.729809096796, 1786.6184581422824, 1795.5515504329926, 1804.5293081851562, 1813.5519547260806, 1822.6197144997097, 1831.7328130722105, 1840.8914771375703, 1850.0959345232568, 1859.3464141958755, 1868.6431462668536, 1877.9863619981863, 1887.376293808176, 1896.8131752772154, 1906.2972411536039, 1915.8287273593705, 1925.407870996166, 1935.0349103511494, 1944.7100849029036, 1954.4336353274166, 1964.2058035040523, 1974.0268325215711, 1983.8969666841815, 1993.8164515176009, 2003.7855337751876, 2013.804461444066, 2023.8734837512848, 2033.9928511700398, 2044.1628154258885, 2054.3836295030164, 2064.655547650534, 2074.978825388785, 2085.353719515728, 2095.780488113309, 2106.259390553874, 2116.790687506642, 2127.3746409441733, 2138.0115141488927, 2148.70157171964, 2159.4450795782363, 2170.242304976126, 2181.0935165010096, 2191.998984083513, 2202.958979003929, 2213.973773898947, 2225.04364276844, 2236.168860982285, 2247.349705287195, 2258.5864538136293, 2269.8793860827004, 2281.228783013112, 2292.634926928176, 2304.098101562815, 2315.6185920706275, 2327.1966850309836, 2338.8326684561366, 2350.526831798416, 2362.279465957411, 2374.090863287196, 2385.9613176036305, 2397.8911241916467, 2409.880579812603, 2421.9299827116693, 2434.0396326252257, 2446.2098307883502, 2458.4408799422954, 2470.733084342005, 2483.086749763713, 2495.50218351253, 2507.9796944300906, 2520.5195929022443, 2533.1221908667535, 2545.7878018210854, 2558.516740830194, 2571.3093245343434, 2584.165871157013, 2597.086700512796, 2610.072134015358, 2623.1224946854386, 2636.238107158864, 2649.419297694656, 2662.666394183133, 2675.9797261540466, 2689.3596247848145, 2702.8064229087367, 2716.3204550232786, 2729.902057298398, 2743.5515675848883, 2757.2693254228107, 2771.0556720499285, 2784.910950410176, 2798.8355051622248, 2812.8296826880337, 2826.8938311014717, 2841.028300256983, 2855.2334417582656, 2869.509608967055, 2883.857157011894, 2898.2764427969514, 2912.767825010934, 2927.3316641359866, 2941.9683224566643, 2956.6781640689514, 2971.461554889294, 2986.318862663738, 3001.250456977061, 3016.256709261944, 3031.3379928082513, 3046.49468277229, 3061.7271561861494, 3077.035791967084, 3092.420970926917, 3107.8830757815495, 3123.4224911604615, 3139.0396036162615, 3154.7348016343403, 3170.5084756425094, 3186.3610180207197, 3202.2928231108276, 3218.3042872263795, 3234.395808662509, 3250.5677877058256, 3266.820626644352, 3283.1547297775714, 3299.570503426457, 3316.068355943587, 3332.648697723309, 3349.311941211923, 3366.0585009179804, 3382.8887934225745, 3399.803237389685, 3416.802253576631, 3433.8862648445115, 3451.0556961687316, 3468.3109746495797, 3485.652529522825, 3503.0807921704363, 3520.5961961312933, 3538.199177111947, 3555.890172997504, 3573.669623862489, 3591.537971981799, 3609.4956618417127, 3627.5431401509186, 3645.6808558516705, 3663.9092601309335, 3682.2288064315853, 3700.6399504637407, 3719.1431502160563, 3737.7388659671337, 3756.4275602969747, 3775.2096980984566, 3794.085746588946, 3813.056175321896, 3832.1214561985025, 3851.282063479492, 3870.5384737968866, 3889.891166165868, 3909.340621996703, 3928.887325106683, 3948.5317617322135, 3968.27442054088, 3988.1157926435812, 4008.0563716067963, 4028.0966534648273, 4048.2371367321484, 4068.4783224158145, 4088.8207140278905, 4109.264817598027, 4129.811141686022, 4150.460197394449, 4171.212498381418, 4192.068560873323, 4213.028903677686, 4234.09404819608, 4255.264518437058, 4276.540841029239, 4297.923545234391, 4319.41316296056, 4341.01022877536, 4362.715279919233, 4384.528856318826, 4406.451500600426, 4428.483758103424, 4450.6261768939385, 4472.879307778414, 4495.243704317302, 4517.719922838885, 4540.308522453077, 4563.0100650653385, 4585.825115390671, 4608.754240967622, 4631.798012172456, 4654.957002233325, 4678.231787244487, 4701.622946180707, 4725.131060911606, 4748.756716216161, 4772.500499797248, 4796.363002296231, 4820.344817307709, 4844.4465413942535, 4868.668774101221, 4893.0121179717235, 4917.4771785615785, 4942.064564454383, 4966.774887276661, 4991.608761713041, 5016.566805521602, 5041.649639549217, 5066.857887746959, 5092.19217718569, 5117.653138071614, 5143.241403761969, 5168.957610780785, 5194.802398834686, 5220.776410828855, 5246.880292883006, 5273.114694347417, 5299.48026781915, 5325.977669158242, 5352.6075575040295, 5379.370595291556, 5406.26744826801, 5433.298785509346, 5460.4652794369, 5487.76760583408, 5515.206443863247, 5542.782476082559, 5570.496388462968, 5598.34887040529, 5626.340614757312, 5654.472317831094, 5682.744679420257, 5711.158402817355, 5739.7141948314365, 5768.4127658055895, 5797.254829634613, 5826.241103782794, 5855.372309301703, 5884.649170848208, 5914.072416702456, 5943.642778785965, 5973.36099267989, 6003.227797643285, 6033.243936631497, 6063.410156314662, 6093.727207096231, 6124.195843131708, 6154.816822347374, 6185.590906459106, 6216.518860991398, 6247.60145529635, 6278.839462572827, 6310.233659885699, 6341.784828185123, 6373.493752326044, 6405.361221087683, 6437.388027193116, 6469.574967329077, 6501.922842165717, 6534.432456376541, 6567.104618658433, 6599.940141751719, 6632.939842460473, 6666.104541672784, 6699.435064381143, 6732.932239703044, 6766.596900901554, 6800.429885406057, 6834.432034833096, 6868.604195007257, 6902.947215982287, 6937.461952062208, 6972.149261822514, 7007.010008131621, 7042.045058172274, 7077.255283463131, 7112.641559880455, 7148.204767679852, 7183.945791518246, 7219.865520475847, 7255.964848078221, 7292.244672318606, 7328.705895680194, 7365.349425158589, 7402.176172284392, 7439.187053145808, 7476.382988411532, 7513.764903353599, 7551.333727870362, 7589.090396509708, 7627.035848492251, 7665.1710277347065, 7703.49688287339, 7742.014367287751, 7780.724439124184, 7819.628061319815, 7858.7262016264085, 7898.019832634534, 7937.509931797701, 7977.197481456684, 8017.083468863978, 8057.168886208292, 8097.454730639327, 8137.942004292534, 8178.63171431399, 8219.524872885555, 8260.622497249977, 8301.92560973622, 8343.435237784912, 8385.15241397383, 8427.078176043693, 8469.213566923923, 8511.559634758536, 8554.117432932322, 8596.888020096978, 8639.872460197455, 8683.071822498454, 8726.48718161094, 8770.119617518989, 8813.970215606596, 8858.040066684622, 8902.330267018038, 8946.841918353122, 8991.57612794488, 9036.534008584616, 9081.716678627532, 9127.125262020663, 9172.760888330778, 9218.624692772426, 9264.717816236282, 9311.041405317455, 9357.596612344036, 9404.384595405769, 9451.40651838279, 9498.663550974698, 9546.156868729584, 9593.887653073223, 9641.857091338583, 9690.066376795268, 9738.516708679237, 9787.209292222647, 9836.145338683753, 9885.326065377165, 9934.752695704063, 9984.426459182576, 10000.0], "fnujy": [1.4923704617031326e-79, 4.55368655922017e-79, 1.3874869785851065e-78, 3.1742668887243956e-78, 7.255482871859098e-78, 1.5157347565097759e-77, 3.169158927533445e-77, 7.003968659982173e-77, 1.5493448017742395e-76, 3.588269550808649e-76, 8.276083653035679e-76, 1.6223190279960344e-75, 3.1983636210781585e-75, 7.595069592797142e-75, 1.8046454009840887e-74, 4.3588376664144e-74, 1.0483017144075238e-73, 2.272665782311283e-73, 4.923992077262658e-73, 1.052876691322871e-72, 2.2510648901412753e-72, 4.80227999050393e-72, 1.023811281267905e-71, 2.1578513866830005e-71, 4.627416589780126e-71, 1.3041771702598583e-70, 3.717970587295554e-70, 1.251295076677807e-69, 3.964839159526796e-69, 5.602237557555132e-69, 8.388285601063703e-69, 2.5822714272549176e-68, 7.741445630210681e-68, 1.706931673317193e-67, 3.738784753548015e-67, 7.620636483490748e-67, 1.5524243463916245e-66, 3.1446104294765574e-66, 6.360480475095069e-66, 1.2686145948506707e-65, 2.5274920371984963e-65, 4.985362563967412e-65, 9.825441223068102e-65, 1.9230251969808885e-64, 3.753613626277237e-64, 7.16773218909092e-64, 1.3770163968757307e-63, 2.772488245922553e-63, 5.558487748847327e-63, 1.0799613997064572e-62, 2.095511767061518e-62, 4.028560078208307e-62, 7.736369383527414e-62, 1.4748095694859871e-61, 2.808162205591312e-61, 5.306353023539006e-61, 1.0028760660667879e-60, 1.8974774277928328e-60, 3.5845213526258504e-60, 6.709217336550195e-60, 1.2545576254528023e-59, 2.3329064282754477e-59, 4.333520361342918e-59, 8.00270605994304e-59, 1.4760940062053972e-58, 2.7054703393052423e-58, 4.954750789603979e-58, 9.03681023165468e-58, 1.6462452998955406e-57, 2.9815488635933014e-57, 5.394576529327186e-57, 9.714443350113181e-57, 1.7467118270282133e-56, 3.118912762508865e-56, 5.560200300267039e-56, 9.842123459597536e-56, 1.739698340539872e-55, 3.0564732291931876e-55, 5.368622494995696e-55, 9.420419378709854e-55, 1.6474483592641663e-54, 2.8420731807486296e-54, 4.911778845229366e-54, 8.548622683280879e-54, 1.4728155496273375e-53, 2.441583855527865e-53, 4.119236442742159e-53, 7.4140571978504045e-53, 1.3444171167119435e-52, 2.5038356933605663e-52, 4.729799919145139e-52, 9.386866075148819e-52, 1.7984857705163316e-51, 3.0591576348222283e-51, 5.190898324741476e-51, 8.738117035104162e-51, 1.4667937676626735e-50, 2.440088571648377e-50, 4.0612861858009772e-50, 6.770345880224311e-50, 1.124310849403589e-49, 1.8454261557645073e-49, 2.9928336557624214e-49, 4.6843741871734114e-49, 6.860329338476422e-49, 8.298916987036336e-49, 1.0157861192314508e-48, 1.2849463440094223e-48, 1.7230060489974754e-48, 2.7092360615744047e-48, 4.154430391555864e-48, 5.958746209817211e-48, 8.296594658622538e-48, 1.0693803339204391e-47, 1.5062624511843625e-47, 2.656813272046228e-47, 1.445838817916538e-46, 1.277802191609714e-44, 7.445663830246499e-43, 1.5864146922431715e-41, 2.1685606089445304e-40, 1.0407355109605888e-39, 4.301504966371967e-39, 1.260214531542726e-38, 3.1438665461004313e-38, 5.462917927139218e-38, 1.0089271350545534e-37, 2.1305737628974725e-37, 3.741886988387907e-37, 4.423022020695763e-37, 6.515169542930933e-37, 1.5235100106024978e-36, 3.240792530289005e-36, 5.6761000911577084e-36, 9.074507814750746e-36, 1.207951018508185e-35, 1.7103575095170085e-35, 2.733764464631128e-35, 3.9089900533003703e-35, 4.5131815899086837e-35, 6.429043393555152e-35, 1.3590006092404179e-34, 3.91220732500568e-34, 1.986804944004681e-33, 7.833470434702782e-33, 1.9589584726007667e-32, 3.8823837815070713e-32, 5.109625503563019e-32, 6.161046886113552e-32, 6.388575819948993e-32, 8.983715741576667e-32, 2.111818305952123e-31, 4.42062387228146e-31, 7.6406185176089235e-31, 1.1895566306590696e-30, 1.5640641620521095e-30, 2.0547094928274276e-30, 2.695595925881925e-30, 4.372647634298528e-30, 9.857772816425177e-30, 1.9861308189371918e-29, 3.373761556837116e-29, 4.742961886037657e-29, 5.0320304178417634e-29, 4.7774998097344096e-29, 3.8580081956865075e-29, 3.1300599190121195e-29, 2.556443275755554e-29, 1.93427798893918e-29, 1.315104848624233e-29, 1.2970520435208456e-29, 2.129996864048726e-29, 9.271025751215142e-29, 1.4942074113980734e-27, 1.0950500478209841e-26, 2.844557118629446e-26, 4.152243736561048e-26, 2.8820872740882873e-26, 2.4748536017305788e-26, 2.781068373822577e-26, 3.3038720187019695e-26, 4.2048737636786813e-26, 4.684240490419708e-26, 4.439022707857746e-26, 3.5355247898539265e-26, 2.2897153690970796e-26, 1.7172784873159583e-26, 1.5284560152799625e-26, 1.9922777374985667e-26, 4.0172163688594075e-26, 9.078655183388792e-26, 2.331486930672961e-25, 3.394280105538183e-25, 2.6483465913570974e-25, 1.856326060895255e-25, 1.1592773477353938e-25, 1.1221019605056283e-25, 1.7253147469449874e-25, 2.6777937268287835e-25, 4.196648835715193e-25, 4.9914811098357575e-25, 4.487056496363719e-25, 5.703448231304535e-25, 1.0233196737222303e-24, 2.825976449860888e-24, 1.1885496983463728e-23, 3.707017026689637e-23, 8.686883108188685e-23, 1.7402117652483527e-22, 3.0095102168794006e-22, 4.638538001416445e-22, 6.431417264719585e-22, 8.446125805570601e-22, 1.056255809197558e-21, 1.3061430404097539e-21, 1.5991666658329843e-21, 2.001845184361722e-21, 2.554509494844439e-21, 3.2211706306879367e-21, 4.020979832020917e-21, 4.6386481190554676e-21, 5.011344624360096e-21, 4.004765322186195e-21, 2.502899621785262e-21, 1.5749944923666136e-21, 9.965230984719993e-22, 9.945473579165286e-22, 1.4183320138904893e-21, 2.7673482494530838e-21, 6.868108460965605e-21, 1.1244624705654922e-20, 1.346363114703671e-20, 1.4617945210239613e-20, 1.4766936309152903e-20, 2.030839700814786e-20, 3.48998947719058e-20, 6.692406730955035e-20, 1.3868520848778892e-19, 2.242264813117248e-19, 3.052216359896034e-19, 3.857747148737475e-19, 4.636352908157035e-19, 6.001295836615521e-19, 8.161178166141149e-19, 1.1124450134013458e-18, 1.5186843812002643e-18, 1.979259445798458e-18, 2.504238536639347e-18, 3.13436229902749e-18, 3.89659760614436e-18, 4.946712191100515e-18, 6.3608277405599704e-18, 7.845927017696879e-18, 9.439511800656911e-18, 1.213674084792298e-17, 1.6224699272161787e-17, 2.0736437191216702e-17, 2.5827636857344895e-17, 3.0709405120368674e-17, 3.557344278128865e-17, 4.339085431416872e-17, 5.445028479227051e-17, 6.655367367685222e-17, 8.020338193503669e-17, 9.842265109681984e-17, 1.2194029362453156e-16, 1.5487381412144134e-16, 1.9923244203962656e-16, 2.5738566240858307e-16, 3.332242664459878e-16, 4.184415172965784e-16, 5.176117362926321e-16, 6.469430529205013e-16, 8.126278019785779e-16, 1.026468884567267e-15, 1.29999962500844e-15, 1.5655294135797941e-15, 1.8420934466213735e-15, 2.2125549731407968e-15, 2.6822089676539664e-15, 3.561018068477763e-15, 4.9203935460281954e-15, 9.366044479719092e-15, 2.0455481344818487e-14, 6.35074509996787e-14, 2.2847989172415707e-13, 4.792778679242673e-13, 8.062778050493958e-13, 1.139034614584107e-12, 1.5007356572349343e-12, 1.813925041647832e-12, 2.1200263740620492e-12, 2.493191952251031e-12, 2.938960046182767e-12, 3.606643514421631e-12, 4.4925219813634656e-12, 6.334025316610179e-12, 9.339378733009845e-12, 1.2293810743845291e-11, 1.5548740628913204e-11, 2.0262902740870682e-11, 2.6679063940531883e-11, 2.7639148032600978e-11, 2.6427702908351146e-11, 3.0130028341281906e-11, 3.637652895295254e-11, 5.2165312099008983e-11, 7.90011988408064e-11, 1.0836261589917366e-10, 1.4416527029381422e-10, 1.3500403541327583e-10, 1.1378503423411253e-10, 1.6363404879466837e-10, 2.750060604342777e-10, 4.015768011289953e-10, 5.63499466126108e-10, 8.386610017089161e-10, 1.2685820379796212e-09, 1.6075469988846102e-09, 1.942932207872003e-09, 1.5381058176919742e-09, 1.091067409354776e-09, 1.1408087331191563e-09, 1.3151001700398172e-09, 2.1931195668286147e-09, 4.001883792540159e-09, 5.619172299846984e-09, 7.416568488222943e-09, 8.139443476307506e-09, 8.563718023703282e-09, 1.1928123681811548e-08, 1.767804566934028e-08, 2.6124668411991612e-08, 3.8583440731663496e-08, 4.1282967700784456e-08, 4.132601159431113e-08, 4.373565223514387e-08, 4.68020771598727e-08, 4.6874428139637614e-08, 4.635285246442971e-08, 4.7967066243454564e-08, 5.005700984279572e-08, 6.893934451458377e-08, 9.976036370235498e-08, 1.0777171754307161e-07, 1.1073369922760683e-07, 1.1152046622446531e-07, 1.1194278569325091e-07, 1.2980297679584953e-07, 1.539834350757857e-07, 4.7629026728531013e-07, 1.7033083463047687e-06, 3.0678956968464395e-06, 5.0030102456056734e-06, 4.895588888244021e-06, 4.463504833718634e-06, 4.177919900511087e-06, 3.924198186494633e-06, 3.7940785466434707e-06, 3.681637191797579e-06, 4.432730803090026e-06, 5.4763692820809306e-06, 8.197640594806851e-06, 1.2540869248458105e-05, 1.588523323819181e-05, 1.9718647532721822e-05, 3.557969003356465e-05, 6.667271534747593e-05, 9.121291062427953e-05, 0.00012110711478043854, 0.0001286915975663623, 0.0001340613657426914, 0.00013938275099319703, 0.00014489178306819828, 0.00016582677897104633, 0.00019120740947339544, 0.00023358733970740343, 0.0002865469391378218, 0.0003040182355730873, 0.0003194730928522343, 0.000331872196894141, 0.0003445124820106819, 0.00029148865036878743, 0.00024386871553211132, 0.0002536096355466068, 0.000266593499821342, 0.00020286967563997281, 0.00015219682273784322, 0.00017499030703853002, 0.0002045454884181816, 0.00025640903978333985, 0.0003221728071040777, 0.0004274691958747604, 0.0005680474398547943, 0.00034218437034359714, 0.00020243628070856824, 0.0002944439647084047, 0.0004351323738540654, 0.0005801077759149012, 0.0007723856763266598, 0.0006958831219978665, 0.0006251250792511144, 0.0003813317684855792, 0.00023304782201210555, 0.00044115882004747603, 0.0008316073710822194, 0.0008950302076060864, 0.0009605298509875767, 0.0008203912779220363, 0.0007024192714215615, 0.0006909041338190255, 0.0006810320011013979, 0.0007371413221734209, 0.0007986231732124457, 0.0008946790526593399, 0.0010118692781053438, 0.0015223624860046044, 0.002254839983373282, 0.0022281488576317613, 0.002212825009573121, 0.0024621599276373396, 0.0027202648559813453, 0.0026048322465591243, 0.002491716301038065, 0.0023390378512650545, 0.0021640936806567542, 0.0015755740139278968, 0.001171052046264035, 0.0011895970597478218, 0.001230019120932881, 0.0016273574669356835, 0.0021409276029084687, 0.0026187843934551017, 0.003163397982916975, 0.0032876677390898026, 0.003398112706498468, 0.0033026075738753764, 0.0032035233359351645, 0.0030442500349668685, 0.0029244133747125677, 0.0031271310147166676, 0.0033389818530467834, 0.003516537355897962, 0.003645568479690129, 0.0032879683994264585, 0.0029969314999361845, 0.002984182236221447, 0.0030117593760385845, 0.0033831750001454782, 0.003780088743084562, 0.004055618621452146, 0.004178424617198498, 0.0032123661330248016, 0.00257011827136879, 0.002707620431299407, 0.002962966370613252, 0.004167270165008152, 0.005791386049556494, 0.007461915828610525, 0.008834926262239412, 0.006261756037484471, 0.00462471817054366, 0.004343229168684482, 0.0042197171810892465, 0.004959170881889466, 0.005813117308837695, 0.0067194546965841945, 0.007356619591963931, 0.0060730575405010334, 0.005388492505945417, 0.006865043725790338, 0.008501879290978159, 0.009179693196548242, 0.009834771456499448, 0.010160364111540228, 0.010459564178222957, 0.010596279505153404, 0.010503000410083504, 0.009462724531405514, 0.008528349717854485, 0.0076971839375857805, 0.007233093421358502, 0.008020291258072196, 0.00844332393977179, 0.007231445502494833, 0.006433768617941705, 0.006628706014269589, 0.007037506349726428, 0.0083587751794308, 0.009774928579242101, 0.01080332658583748, 0.011601841295865108, 0.011258654044530634, 0.009978381066024007, 0.006480374037229893, 0.004807880753003245, 0.0055592203741404705, 0.006600574298944326, 0.008539991836531102, 0.010962983400849398, 0.013729686085621149, 0.016359631640649543, 0.016730265921184883, 0.015248756788765933, 0.00985081053713772, 0.007173517928608185, 0.007404755150199213, 0.008133554408298297, 0.010657404952124165, 0.013331051647921319, 0.01466608655939649, 0.01643325383680368, 0.019346438286539983, 0.021494357379305832, 0.02050589479992188, 0.020456689465928025, 0.022886762759561627, 0.024219172115059587, 0.02229438317406376, 0.020131803923563958, 0.017344506065660313, 0.015860925252988236, 0.016721493409145173, 0.018110163024323195, 0.020885192831452952, 0.024221701739232826, 0.028454305112021145, 0.03441349525457044, 0.044403234475465916, 0.05348754546525902, 0.0554914864902362, 0.05114051240922366, 0.03664857052489313, 0.030216141535533477, 0.033330814457235125, 0.03987013250196637, 0.05622064459236205, 0.07578109597168746, 0.09340085689213518, 0.10464354098206116, 0.09741780124103425, 0.09205915438578663, 0.08950471352769147, 0.09263570404642246, 0.10768748929011557, 0.11564695888723524, 0.10752928121610673, 0.10040517381395302, 0.09446123987343989, 0.09481301324859545, 0.10652371599427136, 0.1190988102670329, 0.13205637275997528, 0.1442104760319358, 0.1535308886674066, 0.16497993114095238, 0.17999553821290065, 0.20373122114621564, 0.24456662176878427, 0.28202437550254544, 0.3053757284616729, 0.3173098242196046, 0.309503622725424, 0.3021757554219494, 0.2954420117716379, 0.27471612377845805, 0.23724527573686624, 0.20567570594294848, 0.17929992020206093, 0.17044231599851414, 0.18310876715748384, 0.19614535111573828, 0.20926587155173793, 0.23375224640725908, 0.27788273162285915, 0.31404192122978175, 0.33181256433335926, 0.35134178735611576, 0.3730617562443897, 0.4039502161502728, 0.4484592037889347, 0.49487304937943544, 0.5419769094788924, 0.5538922144637007, 0.520023431271277, 0.48585622048624505, 0.45128688146596657, 0.4449107548123845, 0.4705255388574204, 0.5031942200720446, 0.545106071544334, 0.5857589094377247, 0.6237139208227159, 0.6524248726066798, 0.669122095687046, 0.6748312995292173, 0.6682801415170806, 0.668052667853222, 0.6745655195307465, 0.683792084623936, 0.6959651607300258, 0.7119493681527634, 0.7320893207467583, 0.7497905689887128, 0.7648357954550958, 0.7766806800536976, 0.7852207859906079, 0.8011811745997391, 0.8247513210008653, 0.8463452411082596, 0.8659185848297698, 0.8870447816649779, 0.9097337668981615, 0.9316444494742334, 0.9528185582070399, 0.9720392619008963, 0.9894374304085103, 0.9966810306996878, 0.9948490738727287, 0.9809523766924095, 0.957165621826951, 0.9475024499156759, 0.9493536571284815, 0.96005815926377, 0.9783157996592791, 0.9846697037138061, 0.9812228521656824, 0.9922807593271106, 1.01521126166912, 1.03135211091796, 1.0420205176724933, 1.0486160344921907, 1.0520659144649693, 1.0575098569588224, 1.064468305702017, 1.0748574461822906, 1.0878485054140152, 1.1057347042400165, 1.1273705395288378, 1.149335809712713, 1.1716619899259368, 1.1894835157262809, 1.2041480057335454, 1.2094375253412657, 1.208341186105612, 1.2140664982594702, 1.2243521853759087, 1.2373638761716281, 1.2522367046464786, 1.2663647556966375, 1.2800626975229494, 1.294285468017139, 1.3089018601922282, 1.3165904579730534, 1.3200224327511505, 1.313375476116459, 1.3008474847749147, 1.2298619364098742, 1.1317705897248402, 1.0562638920711105, 0.9937074394721127, 0.9618864325868495, 0.9459571644348423, 0.9421248043713961, 0.9447824774710246, 0.9453623708960897, 0.9448338125051607, 0.9308719212599518, 0.9102990258002451, 0.8902048702114369, 0.8705662649030406, 0.8624174000305104, 0.8598537474284017, 0.8700480271570126, 0.8867164005236247, 0.8990395604924993, 0.9092905585049422, 0.9098866755232277, 0.9059675348397038, 0.9142746382861869, 0.9283174172411702, 0.944922342494935, 0.9628876784234969, 0.9816077533525914, 1.000874697878358, 1.0166366845340358, 1.0309789980810364, 1.0475704720872818, 1.0652912090024946, 1.0860827618947246, 1.1084239852839834, 1.1339701862524052, 1.1612149170665338, 1.1878777777882588, 1.214666405077194, 1.2386012072666268, 1.2616864354086545, 1.2852829877196248, 1.3093510827738726, 1.3358283493433123, 1.363554833094492, 1.388797263023164, 1.4134247431407279, 1.4339846367531364, 1.4532983263116241, 1.4541584893085733, 1.4488919832032519, 1.4178119038724843, 1.3793729709316729, 1.3424182733765473, 1.3065881931848327, 1.2758671948023403, 1.2471046884018036, 1.2126058702586013, 1.177231233841323, 1.139444434505666, 1.1019138816489928, 1.071696395185569, 1.0439646172818406, 1.027880913245712, 1.014984446585306, 1.0028731351567577, 0.9910685816176671, 0.9632217965868852, 0.9321820923833681, 0.9256200239177711, 0.9249709068232096, 0.9389868570634671, 0.9568228581110875, 0.969743919634719, 0.9816061033290486, 0.9835044263941235, 0.9831426207850903, 0.9841763178374026, 0.9855151923588976, 0.9901555954485691, 0.9955161187382834, 0.9859336033247518, 0.973460824184945, 0.9704390706802964, 0.9692514493401098, 0.9717623116133287, 0.9749809978563415, 0.9801656540340777, 0.9857356829016426, 0.9935502324790981, 1.001817380022549, 1.0143840026318245, 1.0278301410238475, 1.0438805872748078, 1.060579828684601, 1.0774772262465309, 1.0946329939476833, 1.1126607043628307, 1.131075508087786, 1.1471150468000932, 1.1629975872245144, 1.1769020494290483, 1.1906723448081866, 1.2041387703318849, 1.2176969259578665, 1.2322910327874135, 1.2471696414637725, 1.255817658948581, 1.2637768768029884, 1.2611553093769519, 1.2573756647658985, 1.2288395920632342, 1.1984589819770097, 1.1724515820735795, 1.1473567102270446, 1.1280201729916732, 1.1094836469325717, 1.0961358411628568, 1.0833657864362436, 1.0494296796570688, 1.0149141398746864, 0.9809367621982885, 0.9480538142010024, 0.9185859489688278, 0.8901887504433292, 0.8626124035531167, 0.835886820897136, 0.810320992716694, 0.785555673192138, 0.7715251050514716, 0.7582602890307393, 0.7495873989437444, 0.7412159783777338, 0.7388466229521959, 0.736729310273511, 0.7425170171343995, 0.7486382270846281, 0.7497919045742646, 0.7507936903459479, 0.7552843563204557, 0.7598913362364129, 0.7605029358539621, 0.761033727284049, 0.7514090935224268, 0.7417557476079866, 0.7298724510692689, 0.718156367313134, 0.7111191316739147, 0.7041730566229715, 0.6961404954563385, 0.6881995606773492, 0.6803488700826167, 0.672646739757294, 0.6708715664071031, 0.6691266202189479, 0.6690730752970401, 0.6689444362729013, 0.6651205889887072, 0.6612948281294694, 0.6565632142423645, 0.6519645855853606, 0.6506128061834516, 0.6493746289910237, 0.6512183788279224, 0.6529721528169774, 0.6524262791845372, 0.6519436108643377, 0.6528036186185764, 0.653740853207939, 0.6561401453109547, 0.6585354824332695, 0.6607178423637123, 0.6628944873834299, 0.6648732368829243, 0.6669257516588533, 0.6699722307106613, 0.6730165674641826, 0.6758587574587643, 0.6787723155347741, 0.6824400683422348, 0.686271048889453, 0.691797522830752, 0.6969613166696654, 0.6977273896027251, 0.698950516825718, 0.7048513420688172, 0.7104529498464167, 0.7127289874517636, 0.7149843997139105, 0.7169928756212715, 0.7191631594298217, 0.7226876368012793, 0.7261747254223688, 0.7292306939413188, 0.7321906386905166, 0.7343147568561479, 0.7362637930990622, 0.7368754929098159, 0.7376269163094096, 0.7393636383192209, 0.7411432218731715, 0.7431894656280705, 0.7449977786422125, 0.7452344535489265, 0.7456834703068153, 0.7474500973892478, 0.7494396194550293, 0.7527400748779496, 0.7559321388656677, 0.7584324648429756, 0.7609977359477667, 0.7638845050662684, 0.7659899144746023, 0.7639067393745805, 0.7622523185906869, 0.7627606370978186, 0.7625523708227064, 0.7588232610783023, 0.755036485115598, 0.7509094547238829, 0.7457824057309401, 0.7360395925794128, 0.7267284927307873, 0.7188730028124465, 0.7103656374381419, 0.6988351169145328, 0.6879117296403506, 0.6788842356423777, 0.6704360799730866, 0.6639337435160246, 0.65699464654329, 0.6481956152195099, 0.6394409417863186, 0.6305292984785554, 0.6213088704717068, 0.6106532690373295, 0.600195836450468, 0.5899717482332705, 0.5798585816445188, 0.5697026672200097, 0.5598036265319424, 0.5503390654946075, 0.5411483231843949, 0.5324790611269111, 0.5247163540492129, 0.5194933021300359, 0.5146113513112616, 0.5106675917647003, 0.5064901916415367, 0.5015548674494646, 0.49730766764898154, 0.49497384588497345, 0.4926007303375465, 0.4900952626477417, 0.48750964253705725, 0.48467885954057494, 0.48150535793466026, 0.47737943199948907, 0.4736507881884443, 0.47090907719154684, 0.4682179844637716, 0.46563204499000815, 0.4627970301438006, 0.4593164048151886, 0.45525585276330655, 0.4497483683822608, 0.4442906267810946, 0.43885883477782134, 0.43439820826402925, 0.4321022658225718, 0.42938214560155163, 0.42568224370528845, 0.4218378130811187, 0.4176350490814163, 0.41401579242893255, 0.41161074105395146, 0.408862481197689, 0.40537139708193903, 0.40223671605555694, 0.39980764728565493, 0.3975305405837283, 0.3955468004163947, 0.3939070607099289, 0.3929428579331079, 0.3911560336437326, 0.3877701594549573, 0.3837935069006412, 0.3786819253943517, 0.37432765312397703, 0.37130667394596406, 0.3693489266879966, 0.36930839925502457, 0.36796894069913694, 0.36431807858632675, 0.3618725436728447, 0.36149661972041464, 0.36050473004855516, 0.3584590148876211, 0.3568309540906259, 0.35589305605487487, 0.3546744494057005, 0.3529945192610634, 0.35123243770619633, 0.34933423921009743, 0.34739393868607077, 0.3453819907228584, 0.3449854277762393, 0.34708796970109285, 0.3479748626474046, 0.3470018845584719, 0.3459833668430787, 0.34489627029077863, 0.34322357006113424, 0.3407065898163188, 0.3377339800646101, 0.33411752043887166, 0.32926686668364374, 0.32274008432377305, 0.31468200381229927, 0.3046197349043543, 0.29635692197419056, 0.2902602598282124, 0.28274077672335496, 0.27344384263224064, 0.2681118772041001, 0.2675846955275806, 0.2666694712852473, 0.26526807418897574, 0.26311512605155696, 0.2600501098594197, 0.25822549461362765, 0.2578737445255665, 0.25645435712485365, 0.25378428119326313, 0.25223346942037467, 0.2519636365308217, 0.25087340323407, 0.24885669767122975, 0.24789719509810176, 0.24810905052837964, 0.24709485401822354, 0.24474974122453386, 0.24255314355548224, 0.24051112721385648, 0.23880587733609798, 0.23744828318796338, 0.23666403478045145, 0.23646746634567167, 0.23565157284538174, 0.23421356419042288, 0.23129591034984878, 0.2269613888008235, 0.22508279028990535, 0.2255411546941654, 0.2249376884558034, 0.22332692791377046, 0.2221772014113229, 0.22145343610182464, 0.2192953456514149, 0.21585899439545486, 0.2137228639188955, 0.21272582276588375, 0.21157247401315682, 0.21028410098875058, 0.20842459774032743, 0.20608603199541398, 0.2043888258807738, 0.2032247263124142, 0.2015393507284845, 0.19943353252940985, 0.19809366790465482, 0.19736731949304415, 0.19638878258399062, 0.19521269791431542, 0.19385425620552996, 0.19235809885399577, 0.1912106017898303, 0.19032754584504608, 0.188537979340195, 0.18608964556802654, 0.18499897987739383, 0.1848922844402507, 0.18440718489361851, 0.18365123170801267, 0.1828779230509563, 0.1820934594647643, 0.18126208857157866, 0.18039982956015121, 0.1792219791322414, 0.1778364437964924, 0.17633780498418114, 0.17477016814780652, 0.17360593518152226, 0.17270201619497427, 0.17180086109827075, 0.1709031749731722, 0.16982358178003315, 0.16863503018387987, 0.16698426746506914, 0.16506517786818678, 0.16403823574705595, 0.16353798734032504, 0.16222780049171256, 0.16045779508384575, 0.15913725050016217, 0.15807305153883036, 0.15680538637640046, 0.15543061407010678, 0.15447418075866223, 0.15374615809345288, 0.1524885782575026, 0.15095757000239415, 0.149396885417245, 0.14782886942717105, 0.14631122410107375, 0.144826448789283, 0.1435240690283605, 0.142317000701461, 0.14126923486729892, 0.1403021664468998, 0.13892717452247078, 0.13736840873367903, 0.1359629702525922, 0.13463525295390028, 0.1331213298104617, 0.13153391650228352, 0.1303943967393045, 0.12945640490484006, 0.1282433512973724, 0.1269192296695174, 0.12586799594409728, 0.12493592877383758, 0.12381954723426916, 0.12263382597313603, 0.12100097092748856, 0.11920529360480488, 0.11818446627579071, 0.11746988592293968, 0.11618488618607571, 0.11469321298871286, 0.1139179231401016, 0.11341222850835547, 0.11259618426926704, 0.11167117680880481, 0.11070704532311106, 0.10973449961331894, 0.10878576978356087, 0.10785057718851508, 0.1066584922584152, 0.10538978415086137, 0.10407483570558979, 0.10275604738718341, 0.1018792627047435, 0.10114765021124306, 0.10021602899753698, 0.09922861170973675, 0.09855325367837132, 0.0979752892099459, 0.09703749135808348, 0.09600101479002059, 0.09517830130015884, 0.09442132718639544, 0.09338277701600792, 0.09227519469039772, 0.09159189117651906, 0.09102631862526266, 0.09004541408659893, 0.08896466915767548, 0.08809942910031744, 0.08729469707110113, 0.08676878173585473, 0.08631403976960926, 0.08565919999181791, 0.08496040795695908, 0.08395086543903023, 0.08287963948838363, 0.08219346337968356, 0.08159741267968561, 0.08084568451226792, 0.08006585895738423, 0.07933356302498512, 0.07861644428847707, 0.07756672466510627, 0.07646209391241976, 0.07623038943960003, 0.07617094221991647, 0.07531937254722958, 0.0743276363607448, 0.07378584160205796, 0.07332863398996989, 0.07251194123872962, 0.07164063335246539, 0.07078596737974213, 0.06994254342556495, 0.06961373360278361, 0.06936954370853915, 0.06878876892009732, 0.06816012667662218, 0.06737386137146699, 0.06657224946038953, 0.0657251628241105, 0.0648809902899851, 0.06445393220831848, 0.06408574544827184, 0.06388389660773941, 0.06370432691617205, 0.0627602157609261, 0.061736012411216554, 0.06119793369699258, 0.06072035748958559, 0.06031676690083349, 0.059923767545895394, 0.05963108256871676, 0.05935025765295284, 0.058335070279193955, 0.05726466084555679, 0.056829875559444555, 0.05645687077038359, 0.05593147517815643, 0.05539731030977408, 0.05491992835001397, 0.05445093131989895, 0.054280105833708285, 0.05413261693400793, 0.05347744789312476, 0.05279435466898009, 0.052425752514698346, 0.05207986378512513, 0.05153813921716868, 0.050990209736894096, 0.050154792240250635, 0.04931725436498123, 0.04915700148085195, 0.04903020702715189, 0.04878028643603072, 0.0485262391777472, 0.04791341014453181, 0.04729463268841708, 0.04686633750361577, 0.04644795865933963, 0.04602134650871997, 0.04559832011727807, 0.04517837795063888, 0.04476228509137658, 0.04454460247975109, 0.044331406423612794, 0.04377276962925746, 0.04321689617479866, 0.04278063051929905, 0.04234960418472726, 0.04213279846781665, 0.04191690359402308, 0.04141768118157799, 0.040924808235067736, 0.04049094879525762, 0.04006315393526925, 0.03975531961703267, 0.039448684347545546, 0.03907904892699348, 0.03871264021651144, 0.03833940548628271, 0.037967573999278845, 0.03752199766437101, 0.037092532923336294, 0.03699206233634178, 0.03687816891264831, 0.03641335103046901, 0.03596072808474593, 0.03565606730100911, 0.03535920504661711, 0.035169518023264894, 0.034966493665658877, 0.034506111147348514, 0.034067004922539945, 0.03388257654664824, 0.03368548729206016, 0.03328493062900791, 0.03290181204030217, 0.032698050255436144, 0.03248164157384388, 0.032089039373379376, 0.031722782754908585, 0.03161804255161501, 0.03147571900683788, 0.0309138529336834, 0.03039432369130593, 0.030219501492487665, 0.03003840917957527, 0.029786968506232248, 0.029530315087864006, 0.029208261651686326, 0.02889108996080611, 0.02858932371515821, 0.028285255850977544, 0.027939296734766552, 0.02763559476893039, 0.02763623425120728, 0.02759294747079154, 0.027219828042729415, 0.026891344944687378, 0.026851082505356092, 0.026734968433254763, 0.02610354404798086, 0.025579834049231972, 0.025675476337329216, 0.025692179094384166, 0.025212514354690633, 0.02480192472227907, 0.02476007458651765, 0.024679353399973288, 0.024373823641776853, 0.024061474792885826, 0.023694543430931223, 0.023337495445601205, 0.023008630524420683, 0.022712986756292394, 0.022568443608221037, 0.02246636332616545, 0.022573276180334324, 0.02258736324340439, 0.022154828656026054, 0.02175382642855309, 0.02146714580910109, 0.021217136945803655, 0.02111762377695053, 0.02098837861454079, 0.020729180780908404, 0.02046870563674985, 0.020192794011243888, 0.01989099490873741, 0.019474559044721125, 0.019188262314771633, 0.019389304904713512, 0.019513814359472158, 0.019336974023790275, 0.01914214028283204, 0.018876877763906962, 0.018626965001527697, 0.018422258690987223, 0.018205254812297546, 0.017940183210321106, 0.01773569248204506, 0.017727143885474573, 0.017646671583561778, 0.017330003758485056, 0.01706274633838552, 0.016939946112015332, 0.016890332239558745, 0.017070304577740062, 0.01715880594724096, 0.016962694681285067, 0.01672464757771032, 0.01636039311467653, 0.01599031526005756, 0.01558951563990803, 0.0152551781438283, 0.015085798711175848, 0.014922909295431467, 0.014774398665469597, 0.014661546407427903, 0.014641434445822825, 0.014641425010306885, 0.01469435342594071, 0.014702232508688136, 0.01459459133516758, 0.014434446119880984, 0.01414491845049333, 0.013887874109467192, 0.013699731905436816, 0.013538387733171826, 0.01343630443590098, 0.013354504912442215, 0.013318512793390629, 0.013202725370015484, 0.012909440310323959, 0.012734081151514033, 0.012808990121457245, 0.012833516935466466, 0.012748128068413493, 0.012602444050580228, 0.012331592350396959, 0.012199819002753699, 0.012347834515560326, 0.012361849624958147, 0.012104434241885774, 0.011861328161311724, 0.011640531896203662, 0.011486099076273036, 0.011453933176114815, 0.011430636722028334, 0.011424045750373408, 0.01134666675065576, 0.01114032399854679, 0.011042485851103356, 0.011136835507127593, 0.011123881910658011, 0.010921381743913066, 0.010756862335356247, 0.010653899749797304, 0.010528637655398514, 0.010365740368276947, 0.010171144179884295, 0.009924419494350717, 0.00982090301725391, 0.00994448843463078, 0.009975967183158144, 0.009859035330878436, 0.009732376138674495, 0.009590204502088919, 0.00943689132314724, 0.009266105053017205, 0.009152328816298938, 0.009120590303157313, 0.009073583663672342, 0.00900434166608011, 0.008977364224680295, 0.009010827570746564, 0.008942923053663234, 0.008735116853376497, 0.008627212031740878, 0.008652375112584033, 0.008570363635834818, 0.00834710672353138, 0.008243173912243575, 0.008291981630381605, 0.008319276056730744, 0.008318248948652048, 0.00822968911595379, 0.008032826675463798, 0.007964779053887754, 0.008054036016723085, 0.008037674235458838, 0.00789274849225003, 0.007747068625784742, 0.007600106419158618, 0.007475909832130425, 0.007376965691321677, 0.007324261415334575, 0.007323800867175986, 0.007260532662556331, 0.007127958155337746, 0.007058684130173297, 0.007057610410422995, 0.007020813521596863, 0.006945747738585528, 0.006889850668792651, 0.006853888862342816, 0.006797905728993285, 0.0067214849346732535, 0.006635463431622489, 0.006539974908958866, 0.006483020107859729, 0.006463792336239315, 0.0063989272053640465, 0.006290461895245624, 0.006194448135860694, 0.006110010465286647, 0.006059334244345552, 0.006039859261740564, 0.0060244072983648665, 0.006012663758642951, 0.00598782835116237, 0.005951236503642592, 0.005897084210641986, 0.005827750929713576, 0.005734223078912544, 0.00562076706035958, 0.005574859651196313, 0.005585452086716266, 0.005572040838192645, 0.005538606598282694, 0.005498966808434765, 0.005454378677019278, 0.0054170798042841705, 0.0053855957306084435, 0.005319593681666154, 0.005227443677567216, 0.0051379982493631035, 0.0050509279933873006, 0.004997098958458285, 0.004967855660505353, 0.0049165629965474055, 0.004849490884129436, 0.004807595297537678, 0.004783686141725547, 0.004745757596077022, 0.004698128688652995, 0.00467662426800962, 0.004673182099609968, 0.004653542042058617, 0.004622947703418558, 0.004570588986433061, 0.004504284601364566, 0.004462365976433113, 0.004436182939152542, 0.004399944295536757, 0.004357484390766729, 0.0043128882197150074, 0.00426715778025236, 0.004225400651025278, 0.004186189822769515, 0.004138674331053205, 0.0040865173197722985, 0.004024120281454461, 0.003956327863334049, 0.003917245848610495, 0.0038944799001344077, 0.003871744245339761, 0.0038490837082434956, 0.0038100691273609388, 0.0037624075997954756, 0.0037295265004777278, 0.0037046044288374293, 0.003701448464678801, 0.0037098341132771, 0.0036860594384855263, 0.0036458978071171664, 0.0036245471173680464, 0.003612660482363892, 0.0035544297940574214, 0.003474626166531519, 0.003434004349054635, 0.003412002457828401, 0.00339240757763774, 0.0033739985556238763, 0.0033196494483018154, 0.00324980232470048, 0.0032323164923599183, 0.0032382149692168232, 0.0032104837219603236, 0.003168278945043522, 0.0031488331227361964, 0.0031391357434301425, 0.0031015290672698113, 0.0030527432283863104, 0.00304350482675123, 0.0030504466070330966, 0.003039132841895754, 0.0030205349334058687, 0.0029324089815689408, 0.002820619841565657, 0.002752319929117903, 0.0027005521103058813, 0.002726459823945953, 0.002782261239928384, 0.002770036006451906, 0.00273307661978444, 0.002712645288539345, 0.002698069246139909, 0.0026810911609162704, 0.0026633632095173893, 0.0026022502634264594, 0.002528296520096879, 0.0025195399693796147, 0.002531915918470173, 0.0025110010050681543, 0.0024797243057557996, 0.002407987512868284, 0.0023260590964361613, 0.0023443446379567408, 0.002393478319637051, 0.002381917994059301, 0.00235254330005426, 0.0023044302744449313, 0.0022519503781772946, 0.002213724794691701, 0.002179747681467832, 0.0021759415295246345, 0.002180241202194695, 0.0021525448957383296, 0.0021169580259483376, 0.002094853054283774, 0.002076250524700088, 0.002045823686543123, 0.002012927663690423, 0.0020260957510600903, 0.0020505046805864334, 0.0020528613741524287, 0.0020500562984008355, 0.0020161963964769798, 0.0019760900891147527, 0.0019607108388429717, 0.0019506540886393504, 0.001925430995020549, 0.0018973918101840858, 0.0018683479776987334, 0.0018394664648061167, 0.0018310125250801728, 0.0018265178373697395, 0.0018161621220111831, 0.0018047650591290442, 0.0017952993119949726, 0.0017862197475984932, 0.0017578277622372377, 0.0017265763971385719, 0.0016989913563118502, 0.0016723621260798717, 0.0016505265268734147, 0.0016296740452090876, 0.0016372720359565697, 0.001649330591725134, 0.0016351606384363354, 0.0016172829079840725, 0.0016032524914796362, 0.0015898571574682317, 0.0015743335347036182, 0.0015586618309331344, 0.0015356849168874113, 0.0015121022368214342, 0.0014929381728117494, 0.0014745085299195662, 0.001469735433622971, 0.0014665428371981554, 0.0014330085054133292, 0.0013970116730194445, 0.0013833441420369778, 0.001372037731859712, 0.0013675612388043938, 0.0013637597519531083, 0.0013465199027428451, 0.0013282813388636016, 0.0013180725614642477, 0.0013086103719697447, 0.0012857021305377118, 0.0012621332964208036, 0.0012522892708999647, 0.001243512219181189, 0.0012341645619501891, 0.001224843928902752, 0.0012103087863390824, 0.0011956162998275344, 0.00119017199581315, 0.0011852757622983119, 0.0011803686345508645, 0.0011754802092373354, 0.0011656083927511385, 0.0011555881172130927, 0.001134691612763722, 0.0011137303642187485, 0.0011043762093476336, 0.001095502953998925, 0.001088777529984645, 0.001082156759454689, 0.0010761945137132368, 0.001070280756805532, 0.0010581458438766972, 0.0010460237782739044, 0.00102695975290215, 0.0010081385921670884, 0.0010086624696584296, 0.0010093787101927553, 0.0009991399820275014, 0.0009889513629964342, 0.0009706780600048408, 0.0009527828592142836, 0.0009431873188354524, 0.000933739025075675, 0.0009293883312944286, 0.0009249126333779566, 0.0009109532913993047, 0.0008973534405103597, 0.0008912184583782322, 0.0008851064064348905, 0.0008782950071383414, 0.0008713460887619337, 0.0008583382570301358, 0.0008457121829192788, 0.0008384208396039252, 0.0008310327918534502, 0.0008198952224821758, 0.0008091660108848394, 0.000804063861017022, 0.0007986975593781995, 0.000787753348264938, 0.00077703344604116, 0.0007677301249798892, 0.0007585259629141699, 0.0007492414376747748, 0.00074024495318614, 0.0007338587463594251, 0.0007280160401388888, 0.0007287386630161823, 0.0007287452787587696, 0.0007199012707067028, 0.0007109635505003855, 0.0006998395155112514, 0.0006893158395641257, 0.0006835232795596615, 0.0006779844439167363, 0.0006745669816756216, 0.0006703781484854854, 0.0006587358901332382, 0.000647595918857604, 0.0006393274370393686, 0.0006317101747935498, 0.0006288361808390805, 0.0006255111782621078, 0.0006184506904841797, 0.0006119444232447248, 0.0006091623816356049, 0.0006055393632411243, 0.0005957001535088022, 0.0005866749908314833, 0.0005823548453157237, 0.0005781647455822122, 0.0005746634311073408, 0.0005706782900897674, 0.0005634905777339226, 0.0005564989275764557, 0.0005502401891294105, 0.0005443198204689389, 0.0005400425026245977, 0.0005358085953935032, 0.0005316634563595597, 0.0005272062024995874, 0.0005209134042694659, 0.0005145886790247991, 0.0005077810980603071, 0.0005007639174753098, 0.0004923377216725806, 0.0004853779439803327, 0.0004850016262200519, 0.00048367762897405265, 0.00047788571614308445, 0.00047190774088907457, 0.00046484690556896545, 0.00045890187706035105, 0.0004574927479135616, 0.00045511719798591884, 0.000448622757386031, 0.00044306288791770874, 0.00044105303788317013, 0.00043857109162984527, 0.0004341766824195172, 0.00042984156301084355, 0.0004256088625255659, 0.0004212005768404507, 0.0004160225011435153, 0.00041111229469736627, 0.00040700468233141287, 0.00040314370339824483, 0.0004000490747382675, 0.0003967160480782074, 0.00039250810269012405, 0.0003879939024883166, 0.00038236154076775816, 0.0003771816591394172, 0.0003732764946866769, 0.000369808080835575, 0.0003676302199810786, 0.0003651219264983557, 0.00036157187942301134, 0.00035800457638638885, 0.0003543172047952916, 0.0003506946718851058, 0.00034718763187315416, 0.0003435640126851065, 0.0003395471768729151, 0.00033549412429292603, 0.00033125930112416606, 0.0003275809105370378, 0.0003253057640241892, 0.0003228469598930275, 0.00031988011222211396, 0.00031684968061109056, 0.0003136142923733999, 0.0003104504143113325, 0.0003074150167214408, 0.00030428854886618796, 0.0003008983966463699, 0.00029733463090821826, 0.00029330922892004384, 0.00028964893247479696, 0.00028675893426321645, 0.0002840012043385193, 0.00028150606150159955, 0.00027890047159894436, 0.0002760241780576727, 0.00027326426903327965, 0.00027072077911100153, 0.0002682704226464027, 0.00026599017104076604, 0.0002635759069141349, 0.000260864665403149, 0.0002581899333871312, 0.000255560142727945, 0.00025290190239095903, 0.00025016162730178906, 0.00024752199634054994, 0.0002450480918693877, 0.00024260829846544917, 0.00024021063898950725, 0.0002377008275763361, 0.00023496493403982682, 0.00023244279790162752, 0.00023027949490702938, 0.00022775574133425112, 0.00022458425861405818, 0.00022197924962204856, 0.00022031609169110834, 0.0002185955433586241, 0.00021676908045092341, 0.0002148035388482409, 0.00021259812924537798, 0.00021042737491159635, 0.00020829841850648063, 0.00020613861359044657, 0.00020391741087167427, 0.00020179934014733089, 0.00019982741729597465, 0.00019785751279699848, 0.00019588054683846484, 0.0001939094789812367, 0.00019193741738033666, 0.0001899714697511068, 0.0001880051337409973, 0.00018602753358369176, 0.0001840251570258982, 0.00018213166139278004, 0.00018038110686481625, 0.0001786096803513014, 0.00017680345355034835, 0.00017497636744831047, 0.00017311511016681504, 0.00017134610236232734, 0.00016969152100077494, 0.00016800284628703415, 0.00016626576193101968, 0.0001645549102691312, 0.00016287222196650677, 0.0001612034998006186, 0.000159547820876371, 0.00015790263258436872, 0.00015626642231221117, 0.00015458238216029723, 0.0001528387131296326, 0.00015109347253839983, 0.000149343174809898, 0.00014770151123988522, 0.00014617990390546068, 0.00014486295283516707, 0.00014377232495010433, 0.00014251063669560953, 0.00014106109162488744, 0.00013960015426609808, 0.00013812592993441648, 0.00013670890129836245, 0.0001353508065999624, 0.00013398509381600435, 0.00013261109705842988, 0.00013125874146222138, 0.00012992791520521305, 0.00012860617775084336, 0.00012729346164492623, 0.00012599701431092298, 0.00012471659703220054, 0.00012344062079289156, 0.00012216942494394198, 0.00012089730884624798, 0.00011962518201111471, 0.00011840059008344479, 0.0001172202277470752, 0.00011603938304505224, 0.00011485929119530397, 0.00011368776343938305, 0.00011252512011478267, 0.00011137501302925236, 0.00011023722599657903, 0.00010910427360220031, 0.00010797714886303424, 0.00010680748793330492, 0.0001056050415337169, 0.00010453233527941545, 0.00010356629341782281, 0.0001024543884919801, 0.00010122975318816127, 0.0001002075614627878, 9.934449246499493e-05, 9.84192260954958e-05, 9.744858960163991e-05, 9.646541293310956e-05, 9.547535905956268e-05, 9.449155436518044e-05, 9.351497518022407e-05, 9.256342125547512e-05, 9.163244456170497e-05, 9.069622206425986e-05, 8.975912398880222e-05, 8.884441569458291e-05, 8.794792979803422e-05, 8.703927403237403e-05, 8.612545388917574e-05, 8.496619403167818e-05, 8.36521017512087e-05, 8.286647552864512e-05, 8.242480683895021e-05, 8.175170842484294e-05, 8.093337591675769e-05, 8.011756872616633e-05, 7.930640558971667e-05, 7.850524193992378e-05, 7.771327711022587e-05, 7.693116470489035e-05, 7.615805217756985e-05, 7.535873824688603e-05, 7.454768054362481e-05, 7.382797651659078e-05, 7.316326025224253e-05, 7.242043303526302e-05, 7.1637396232972e-05, 7.0885171547428e-05, 7.015327430693218e-05, 6.943481751217841e-05, 6.872692135072275e-05, 6.80070356095975e-05, 6.728446531010487e-05, 6.659343446053931e-05, 6.59219378137873e-05, 6.52637279410406e-05, 6.46154123884445e-05, 6.396160429714086e-05, 6.330846299445831e-05, 6.266407978691082e-05, 6.202727369258072e-05, 6.139205126783077e-05, 6.076100461701937e-05, 6.014098604550311e-05, 5.95294105769665e-05, 5.8917662131120635e-05, 5.830928968240978e-05, 5.7713901981599777e-05, 5.712757676014814e-05, 5.6548804811125995e-05, 5.597659077756881e-05, 5.5406938008208925e-05, 5.4841711198673737e-05, 5.428027990859124e-05, 5.3723779015022005e-05, 5.31758550758519e-05, 5.2634682024953215e-05, 5.209875853146048e-05, 5.1568189826218206e-05, 5.104208980342528e-05, 5.0520996658245846e-05, 5.000561267975977e-05, 4.9495632787189414e-05, 4.898891764672973e-05, 4.8486679615040706e-05, 4.7991307844658966e-05, 4.750161150242389e-05, 4.700633718289178e-05, 4.6512540602517895e-05, 4.6041149529112205e-05, 4.558038841558259e-05, 4.512367788144372e-05, 4.467135797416704e-05, 4.421797942913119e-05, 4.376739983484417e-05, 4.332082093195287e-05, 4.2878613363553583e-05, 4.24414397102406e-05, 4.200888204045174e-05, 4.1580058207553176e-05, 4.1155411449463186e-05, 4.0732884354572465e-05, 4.031405525138736e-05, 3.990585072746142e-05, 3.950355215100247e-05, 3.910222958691936e-05, 3.8704144998142454e-05, 3.830973449046392e-05, 3.7919243010360194e-05, 3.753233042844348e-05, 3.7149262711797256e-05, 3.6770875082394976e-05, 3.6396533352334596e-05, 3.602535443564553e-05, 3.5657804474902134e-05, 3.529451079071661e-05, 3.4935036826451146e-05, 3.448618340922466e-05, 3.402213323592065e-05, 3.367739504390857e-05, 3.336095606490457e-05, 3.309527225678629e-05, 3.2841848865823844e-05, 3.252187335855968e-05, 3.219102325594615e-05, 3.185870905596796e-05, 3.152887246337239e-05, 3.121121680046151e-05, 3.089843037840135e-05, 3.0585503406454535e-05, 3.0275145039071103e-05, 2.9967104290878433e-05, 2.9662050964546543e-05, 2.9360311357210983e-05, 2.9061676593656313e-05, 2.876568537033176e-05, 2.8472644564629733e-05, 2.8180909978971344e-05, 2.7891901953386112e-05, 2.7606499331315434e-05, 2.7324113209741272e-05, 2.7046526754814638e-05, 2.6772034356137676e-05, 2.650166138619022e-05, 2.623420164066899e-05, 2.5968140486132394e-05, 2.5704607724509076e-05, 2.5443743539428724e-05, 2.5185526018448106e-05, 2.4929526758776804e-05, 2.4676082062751684e-05, 2.442503529186451e-05, 2.4176522562758253e-05, 2.393071239686041e-05, 2.368741991514726e-05, 2.344692783664331e-05, 2.3208910120480162e-05, 2.297307169865141e-05, 2.273960746305346e-05, 2.2508557012316217e-05, 2.2279857833457105e-05, 2.2054552057154645e-05, 2.1831612909645022e-05, 2.1629928198276055e-05, 2.143156665447289e-05, 2.1193995696181452e-05, 2.095614865963875e-05, 2.0745613659076938e-05, 2.0538807690239156e-05, 2.033537060874219e-05, 2.0134026889335963e-05, 1.993421389068494e-05, 1.9736358685635835e-05, 1.9540467014008936e-05, 1.9346519636978755e-05, 1.91544971482594e-05, 1.8964380559653767e-05, 1.8776150956749445e-05, 1.8589789613196542e-05, 1.840527810833365e-05, 1.8222597962041484e-05, 1.804173087428013e-05, 1.7862658966510542e-05, 1.768536453909473e-05, 1.7509829836278115e-05, 1.7336037277334873e-05, 1.7163969681998514e-05, 1.699360992873297e-05, 1.6824941068980718e-05, 1.665794643294826e-05, 1.6492609289945548e-05, 1.6328913078008e-05, 1.6166841621093984e-05, 1.600637889849636e-05, 1.584750883533145e-05, 1.5690215522475165e-05, 1.553448341309227e-05, 1.5380297009461772e-05, 1.522764097374811e-05, 1.5076500215243583e-05, 1.4926859590268993e-05, 1.4778704114737894e-05, 1.4632019148400112e-05, 1.4486790186044313e-05, 1.4343002679377958e-05, 1.4200642234620673e-05, 1.4059694778182539e-05, 1.392014628385646e-05, 1.3781982872054385e-05, 1.3645190879581374e-05, 1.3509756601072821e-05, 1.3375666479895695e-05, 1.3242907265141844e-05, 1.3111465824021802e-05, 1.2981328989826548e-05, 1.2852483739732737e-05, 1.2724917333833444e-05, 1.2598617077704112e-05, 1.2473570411344922e-05, 1.2349764964108035e-05, 1.2227188332306439e-05, 1.2105828250714958e-05, 1.198567272595061e-05, 1.1866709867844874e-05, 1.174892776004241e-05, 1.163231462005552e-05, 1.1516858915314338e-05, 1.1402549156712783e-05, 1.1289373978368946e-05, 1.1177322179967626e-05, 1.1066382535843548e-05, 1.0956543949109649e-05, 1.0847795564595089e-05, 1.074012661721962e-05, 1.0633526322218531e-05, 1.0527984019271993e-05, 1.0423489268763191e-05, 1.0320031672452492e-05, 1.0217600945037443e-05, 1.0116186945866844e-05, 1.001577951539266e-05, 9.916368613731965e-06, 9.81794440766155e-06, 9.72049710270676e-06, 9.624017012671541e-06, 9.5284945854231e-06, 9.43392024985563e-06, 9.340284550102695e-06, 9.24757823344833e-06, 9.155792118693969e-06, 9.064917011137165e-06, 8.97494382718038e-06, 8.885863665419215e-06, 8.797667661354808e-06, 8.710347049684776e-06, 8.623893181909636e-06, 8.538297395984499e-06, 8.453551136825625e-06, 8.369646029772654e-06, 8.286573762338916e-06, 8.204326013016995e-06, 8.122894563379846e-06, 8.042271355568837e-06, 7.962448366752903e-06, 7.883417664962505e-06, 7.805171419890868e-06, 7.72770179219306e-06, 7.651001041721217e-06, 7.57506158856552e-06, 7.499875906785753e-06, 7.425436465127255e-06, 7.351735827905235e-06, 7.278766700891484e-06, 7.20652182300147e-06, 7.134994016365242e-06, 7.06417619149993e-06, 6.994061253605644e-06, 6.9246421998117574e-06, 6.855912169553979e-06, 6.787864349040448e-06, 6.720491922206829e-06, 6.6537881615398855e-06, 6.587746464094748e-06, 6.522360258201244e-06, 6.457623048390652e-06, 6.393528415946277e-06, 6.330069939884796e-06, 6.267241284358123e-06, 6.205036239896709e-06, 6.143448637490859e-06, 6.0824723083359186e-06, 6.022101165626982e-06, 5.962329232206797e-06, 5.903150560357061e-06, 5.844559272129855e-06, 5.786549556137261e-06, 5.729115601203956e-06, 5.672251674949454e-06, 5.615952147289709e-06, 5.560211415930393e-06, 5.505023945419415e-06, 5.450384261350459e-06, 5.396286889142448e-06, 5.342726430107835e-06, 5.289697591410698e-06, 5.237195111549575e-06, 5.18521373123075e-06, 5.133748264044975e-06, 5.082793613450946e-06, 5.032344709074206e-06, 4.982396541712672e-06, 4.932944154896571e-06, 4.8839825940174585e-06, 4.8355069746338074e-06, 4.7875125061877895e-06, 4.739994425051592e-06, 4.692947971390431e-06, 4.646368452751524e-06, 4.600251255588985e-06, 4.554591790939749e-06, 4.509385525818121e-06, 4.464627972710686e-06, 4.420314647584115e-06, 4.376441131240676e-06, 4.3330030877466466e-06, 4.289996204251661e-06, 4.24741617293801e-06, 4.205258748252235e-06, 4.1635197538835375e-06, 4.122195036568606e-06, 4.081280494261802e-06, 4.040772064054792e-06, 4.000665687785841e-06, 3.960957367171091e-06, 3.921643177766742e-06, 3.882719214856364e-06, 3.8441815797043e-06, 3.806026431085179e-06, 3.7682499884964492e-06, 3.7308484930033153e-06, 3.6938182325298663e-06, 3.6571555286129265e-06, 3.6208567085064186e-06, 3.584918154736852e-06, 3.549336315307949e-06, 3.514107655025293e-06, 3.479228645379659e-06, 3.4446958109592962e-06, 3.410505729566764e-06, 3.37665499915355e-06, 3.343140260538529e-06, 3.3099581833397226e-06, 3.277105443614849e-06, 3.2445787684204933e-06, 3.212374934206878e-06, 3.1804907365482647e-06, 3.1489230120623718e-06, 3.1176686233167234e-06, 3.0867244389044e-06, 3.056087376549193e-06, 3.025754408586069e-06, 2.995722519787503e-06, 2.9659887018818236e-06, 2.936549993633702e-06, 2.907403476990893e-06, 2.8785462517705164e-06, 2.849975455317781e-06, 2.8216882470674804e-06, 2.7936817930309196e-06, 2.765953304505804e-06, 2.7385000411475525e-06, 2.711319273069239e-06, 2.684408277684736e-06, 2.6577643757732537e-06, 2.631384925835644e-06, 2.6052673030432414e-06, 2.5794089168784773e-06, 2.5538071955649176e-06, 2.528459574277401e-06, 2.50336352991667e-06, 2.478516582198654e-06, 2.4539162595819605e-06, 2.4295600980296545e-06, 2.4054456734719865e-06, 2.3815705947597666e-06, 2.357932486273154e-06, 2.3345290037601974e-06, 2.311357818808572e-06, 2.2884166101868426e-06, 2.2657030950944404e-06, 2.2432150286335026e-06, 2.22095017316559e-06, 2.1989062986448106e-06, 2.1770812118491916e-06, 2.155472748257969e-06, 2.134078757797563e-06, 2.112897119069973e-06, 2.0919257240055773e-06, 2.0711624718265886e-06, 2.0506052971389574e-06, 2.030252168097102e-06, 2.010101058834477e-06, 1.990149951071168e-06, 1.970396860445468e-06, 1.9508398275905494e-06, 1.9314769065634996e-06, 1.9123061776344367e-06, 1.8933257322317271e-06, 1.874533669089613e-06, 1.8559281195102964e-06, 1.8375072378221197e-06, 1.8192691911452382e-06, 1.8012121716854415e-06, 1.7833343813485384e-06, 1.7656340290008546e-06, 1.7481093548909115e-06, 1.7307586271004066e-06, 1.713580117681577e-06, 1.6965721059289179e-06, 1.679732901104575e-06, 1.6630608324600918e-06, 1.6465542411334979e-06, 1.6302114911817133e-06, 1.6140309546675454e-06, 1.5980110105768973e-06, 1.5821500667526379e-06, 1.5664465556337583e-06, 1.550898912806915e-06, 1.5355055809757227e-06, 1.520265030411554e-06, 1.5051757487147638e-06, 1.4902362345183072e-06, 1.4754450073933422e-06, 1.460800593463025e-06, 1.446301525671732e-06, 1.4319463634907878e-06, 1.417733688122791e-06, 1.403662083215319e-06, 1.3897301393595479e-06, 1.3759364725005272e-06, 1.3622797135831357e-06, 1.3487585037810684e-06, 1.3353715033961586e-06, 1.322117378037138e-06, 1.3089947999812449e-06, 1.2960024658843391e-06, 1.283139091597891e-06, 1.270403394820429e-06, 1.2577940999836466e-06, 1.2453099548321394e-06, 1.2329497200719894e-06, 1.2207121658836769e-06, 1.208596079921691e-06, 1.1966002540835352e-06, 1.1847234867433978e-06, 1.1729645986743368e-06, 1.1613224276009433e-06, 1.149795812587647e-06, 1.1383835991942976e-06, 1.1270846544126846e-06, 1.1158978564135906e-06, 1.1048220921354119e-06, 1.0938562644791176e-06, 1.0829992796820564e-06, 1.0722500502371177e-06, 1.0616075092125315e-06, 1.051070604642134e-06, 1.0406382854710862e-06, 1.030309506882639e-06, 1.0200832437594064e-06, 1.0099584806052146e-06, 9.999342100305755e-07, 9.900094392277558e-07, 9.801831779549543e-07, 9.704544419836042e-07, 9.60822265981625e-07, 9.512856933506608e-07, 9.418437752471987e-07, 9.324955767691025e-07, 9.232401649388279e-07, 9.140766125523156e-07, 9.050040106047026e-07, 8.960214624027323e-07, 8.871280714296241e-07, 8.783229469251591e-07, 8.696052154805766e-07, 8.609740111652198e-07, 8.52428475218069e-07, 8.439677616060349e-07, 8.35591025654008e-07, 8.272974282202922e-07, 8.190861468613691e-07, 8.109563699819094e-07, 8.029072859208698e-07, 7.949380885081665e-07, 7.870479875039694e-07, 7.792361990534555e-07, 7.715019459250485e-07, 7.638444625071524e-07, 7.562629840718362e-07, 7.487567511742322e-07, 7.413250196875111e-07, 7.339670550401153e-07, 7.266821223963532e-07, 7.194694921416292e-07, 7.123284492846682e-07, 7.052582842685233e-07, 6.982582936501507e-07, 6.913277845949392e-07, 6.844660647571844e-07, 6.776724468180369e-07, 6.709462575083707e-07, 6.64286831972156e-07, 6.576935049283521e-07, 6.51165616046469e-07, 6.447025184179525e-07, 6.383035697426392e-07, 6.319681333601569e-07, 6.25695582295062e-07, 6.194852897343675e-07, 6.133366336338463e-07, 6.07249004833775e-07, 6.012218015786798e-07, 5.952544215592572e-07, 5.893462671485701e-07, 5.834967530375984e-07, 5.777052978088815e-07, 5.719713252440601e-07, 5.662942679667707e-07, 5.606735584950127e-07, 5.551086338587984e-07, 5.495989429024094e-07, 5.441439379183076e-07, 5.387430761832118e-07, 5.333958234245803e-07, 5.281016449483249e-07, 5.228600104030077e-07, 5.176704008178543e-07, 5.125323032564058e-07, 5.07445203952607e-07, 5.024085933993555e-07, 4.974219729213057e-07, 4.924848467257016e-07, 4.875967236138018e-07, 4.82757120097331e-07, 4.779655520944277e-07, 4.7322153962428924e-07, 4.6852461313152825e-07, 4.63874308358695e-07, 4.5927016017179793e-07, 4.547117074484159e-07, 4.5019849899610053e-07, 4.457300860169695e-07, 4.4130602394485885e-07, 4.3692587524868104e-07, 4.325892016691118e-07, 4.282955688109559e-07, 4.2404455182825774e-07, 4.1983573052380475e-07, 4.156686837927887e-07, 4.1154299430172033e-07, 4.07458253819591e-07, 4.0341405608965524e-07, 3.994099987507933e-07, 3.95445685860935e-07, 3.915207206466285e-07, 3.876347099679644e-07, 3.8378726943073903e-07, 3.799780187174133e-07, 3.7620657658490455e-07, 3.7247256532957167e-07, 3.687756155910694e-07, 3.6511535962193074e-07, 3.614914332590553e-07, 3.5790347819637184e-07, 3.5435113521992145e-07, 3.508340485261487e-07, 3.473518703205823e-07, 3.43904256381334e-07, 3.404908615539593e-07, 3.3711134400063166e-07, 3.3376536953056417e-07, 3.3045260525574293e-07, 3.271727215844641e-07, 3.23925394269451e-07, 3.207102981012748e-07, 3.1752711106617547e-07, 3.143755184843154e-07, 3.112552067612368e-07, 3.0816586546827885e-07, 3.0510718928333615e-07, 3.020788717700531e-07, 2.9908060957280316e-07, 2.9611210640232274e-07, 2.931730688427256e-07, 2.9026320246111576e-07, 2.873822158524186e-07, 2.845298242693701e-07, 2.8170574385386735e-07, 2.7890969367484957e-07, 2.7614139734611854e-07, 2.734005774893212e-07, 2.7068695964150684e-07, 2.6800027565724045e-07, 2.653402598714854e-07, 2.6270664581322517e-07, 2.6009916983418823e-07, 2.575175741698261e-07, 2.549616019145425e-07, 2.524309988469569e-07, 2.49925514725156e-07, 2.474448985159123e-07, 2.449889019034277e-07, 2.425572821886169e-07, 2.401497988420798e-07, 2.377662106986138e-07, 2.3540627922192593e-07, 2.3306977107413682e-07, 2.307564537427902e-07, 2.284660971764501e-07, 2.261984748057371e-07, 2.23953359439776e-07, 2.2173052641785217e-07, 2.1952973335785902e-07, 2.1735050613500785e-07, 2.1516703334345542e-07, 2.1270880899573495e-07, 2.1035546382461738e-07, 2.0885389991783755e-07, 2.0838687451737327e-07]}, "disk_spec": {"wavelength": [0.049999999999999996, 0.05024999999999998, 0.05050124999999997, 0.050753756249999955, 0.051007525031249945, 0.051262562656406184, 0.051518875469688204, 0.051776469847036634, 0.052035352196271804, 0.05229552895725315, 0.0525570066020394, 0.05281979163504959, 0.053083890593224825, 0.05334931004619094, 0.05361605659642188, 0.05388413687940397, 0.05415355756380098, 0.05442432535161997, 0.05469644697837806, 0.05496992921326994, 0.05524477885933628, 0.05552100275363295, 0.055798607767401094, 0.05607760080623809, 0.056357988810269266, 0.0566397787543206, 0.05692297764809219, 0.05720759253633264, 0.057493630499014285, 0.05778109865150934, 0.05807000414476688, 0.0583603541654907, 0.05865215593631814, 0.05894541671599972, 0.0592401437995797, 0.05953634451857759, 0.05983402624117046, 0.060133196372376296, 0.060433862354238164, 0.06073603166600934, 0.06103971182433938, 0.06134491038346106, 0.06165163493537835, 0.061959893110055224, 0.06226969257560549, 0.0625810410384835, 0.0628939462436759, 0.06320841597489427, 0.06352445805476872, 0.06384208034504256, 0.06416129074676775, 0.06448209720050158, 0.06480450768650407, 0.06512853022493657, 0.06545417287606124, 0.06578144374044154, 0.06611035095914372, 0.06644090271393943, 0.06677310722750911, 0.06710697276364665, 0.06744250762746486, 0.06777972016560217, 0.06811861876643016, 0.0684592118602623, 0.06880150791956359, 0.0691455154591614, 0.06949124303645718, 0.06983869925163945, 0.07018789274789763, 0.0705388322116371, 0.07089152637269527, 0.07124598400455874, 0.07160221392458152, 0.0719602249942044, 0.07232002611917542, 0.07268162624977127, 0.07304503438102011, 0.0734102595529252, 0.0737773108506898, 0.07414619740494323, 0.07451692839196793, 0.07488951303392775, 0.07526396059909737, 0.07564028040209285, 0.0760184818041033, 0.0763985742131238, 0.07678056708418939, 0.07716446991961032, 0.07755029226920836, 0.07793804373055438, 0.07832773394920713, 0.07871937261895315, 0.07911296948204789, 0.07950853432945812, 0.07990607700110539, 0.0803056073861109, 0.08070713542304143, 0.08111067110015663, 0.08151622445565739, 0.08192380557793566, 0.08233342460582531, 0.08274509172885443, 0.08315881718749868, 0.08357461127343616, 0.08399248432980332, 0.0844124467514523, 0.08483450898520956, 0.08525868153013558, 0.08568497493778623, 0.08611339981247515, 0.0865439668115375, 0.08697668664559517, 0.08741157007882312, 0.08784862792921722, 0.08828787106886328, 0.08872931042420758, 0.0891729569763286, 0.08961882176121022, 0.09006691587001625, 0.09051725044936632, 0.09096983670161313, 0.09142468588512116, 0.09188180931454676, 0.09234121836111947, 0.09280292445292504, 0.09326693907518964, 0.09373327377056558, 0.09420194013941838, 0.09467294984011544, 0.095146314589316, 0.09562204616226255, 0.09610015639307384, 0.09658065717503919, 0.09706356046091437, 0.09754887826321892, 0.09803662265453499, 0.09852680576780765, 0.09901943979664665, 0.09951453699562987, 0.10001210968060799, 0.10051217022901102, 0.10101473108015604, 0.1015198047355568, 0.10202740375923457, 0.1025375407780307, 0.10305022848192084, 0.10356547962433042, 0.10408330702245205, 0.10460372355756428, 0.10512674217535208, 0.10565237588622882, 0.10618063776565993, 0.1067115409544882, 0.10724509865926063, 0.10778132415255691, 0.10832023077331966, 0.10886183192718624, 0.10940614108682215, 0.10995317179225624, 0.11050293765121748, 0.11105545233947355, 0.11161072960117088, 0.11216878324917672, 0.11272962716542258, 0.11329327530124966, 0.11385974167775588, 0.11442904038614464, 0.11500118558807533, 0.11557619151601568, 0.11615407247359573, 0.11673484283596369, 0.11731851705014348, 0.11790510963539416, 0.1184946351835711, 0.11908710835948894, 0.11968254390128635, 0.12028095662079276, 0.1208823614038967, 0.12148677321091615, 0.1220942070769707, 0.12270467811235553, 0.12331820150291728, 0.12393479251043184, 0.12455446647298396, 0.12517723880534887, 0.12580312499937557, 0.1264321406243724, 0.12706430132749424, 0.1276996228341317, 0.12833812094830233, 0.1289798115530438, 0.129624710610809, 0.130272834163863, 0.1309241983346823, 0.13157881932635568, 0.13223671342298743, 0.13289789699010232, 0.1335623864750528, 0.13423019840742803, 0.13490134939946516, 0.13557585614646245, 0.13625373542719474, 0.13693500410433068, 0.1376196791248523, 0.13830777752047652, 0.13899931640807886, 0.13969431299011922, 0.1403927845550698, 0.14109474847784512, 0.1418002222202343, 0.14250922333133545, 0.1432217694479921, 0.14393787829523202, 0.14465756768670815, 0.14538085552514166, 0.14610775980276733, 0.14683829860178113, 0.14757249009479, 0.14831035254526392, 0.1490519043079902, 0.14979716382953012, 0.15054614964867774, 0.15129888039692108, 0.15205537479890566, 0.15281565167290015, 0.15357972993126462, 0.1543476285809209, 0.15511936672382548, 0.15589496355744456, 0.15667443837523173, 0.15745781056710786, 0.15824509961994337, 0.15903632511804305, 0.15983150674363322, 0.16063066427735137, 0.16143381759873807, 0.16224098668673173, 0.16305219162016535, 0.16386745257826613, 0.16468678984115742, 0.16551022379036318, 0.16633777490931495, 0.1671694637838615, 0.16800531110278077, 0.16884533765829463, 0.16968956434658605, 0.17053801216831896, 0.1713907022291605, 0.17224765574030626, 0.17310889401900775, 0.17397443848910277, 0.17484431068154824, 0.17571853223495593, 0.17659712489613066, 0.17748011052061127, 0.1783675110732143, 0.17925934862858034, 0.18015564537172318, 0.18105642359858176, 0.18196170571657463, 0.18287151424515746, 0.1837858718163832, 0.1847048011754651, 0.18562832518134237, 0.18655646680724902, 0.18748924914128523, 0.1884266953869916, 0.18936882886392653, 0.19031567300824612, 0.19126725137328732, 0.1922235876301537, 0.19318470556830442, 0.1941506290961459, 0.1951213822416266, 0.19609698915283466, 0.1970774740985988, 0.19806286146909174, 0.19905317577643716, 0.2000484416553193, 0.20104868386359584, 0.20205392728291377, 0.2030641969193283, 0.2040795179039249, 0.20509991549344447, 0.20612541507091164, 0.20715604214626615, 0.20819182235699743, 0.20923278146878238, 0.21027894537612624, 0.21133034010300683, 0.2123869918035218, 0.21344892676253938, 0.214516171396352, 0.21558875225333374, 0.21666669601460034, 0.2177500294946733, 0.21883877964214662, 0.2199329735403573, 0.22103263840805903, 0.22213780160009927, 0.2232484906080997, 0.22436473306114016, 0.22548655672644582, 0.226613989510078, 0.22774705945762833, 0.2288857947549164, 0.23003022372869095, 0.23118037484733434, 0.23233627672157095, 0.23349795810517876, 0.2346654478957046, 0.23583877513518306, 0.23701796901085892, 0.23820305885591317, 0.23939407415019268, 0.2405910445209436, 0.24179399974354826, 0.24300296974226593, 0.2442179845909772, 0.24543907451393204, 0.24666626988650164, 0.2478996012359341, 0.2491390992421137, 0.2503847947383242, 0.25163671871201576, 0.2528949023055758, 0.2541593768171036, 0.2554301737011891, 0.256707324569695, 0.2579908611925434, 0.259280815498506, 0.2605772195759985, 0.2618801056738784, 0.2631895062022478, 0.26450545373325896, 0.2658279810019252, 0.2671571209069347, 0.26849290651146934, 0.26983537104402666, 0.27118454789924673, 0.27254047063874287, 0.2739031729919365, 0.27527268885689615, 0.2766490523011806, 0.2780322975626864, 0.2794224590504998, 0.2808195713457522, 0.28222366920248093, 0.28363478754849325, 0.28505296148623566, 0.28647822629366676, 0.287910617425135, 0.28935017051226064, 0.2907969213648219, 0.2922509059716459, 0.29371216050150406, 0.2951807213040115, 0.2966566249105315, 0.2981399080350841, 0.29963060757525944, 0.3011287606131357, 0.30263440441620126, 0.3041475764382822, 0.3056683143204736, 0.30719665589207584, 0.30873263917153615, 0.3102763023673938, 0.31182768387923065, 0.31338682229862674, 0.3149537564101198, 0.31652852519217034, 0.3181111678181311, 0.3197017236572217, 0.32130023227550775, 0.3229067334368852, 0.32452126710406953, 0.32614387343958984, 0.32777459280678767, 0.32941346577082153, 0.3310605330996756, 0.3327158357651739, 0.3343794149439997, 0.33605131201871963, 0.33773156857881315, 0.3394202264217071, 0.3411173275538156, 0.34282291419158456, 0.3445370287625424, 0.346259713906355, 0.3479910124758867, 0.3497309675382661, 0.3514796223759573, 0.35323702048783706, 0.35500320559027615, 0.3567782216182274, 0.3585621127263185, 0.36035492328995, 0.36215669790639965, 0.3639674813959316, 0.36578731880291115, 0.3676162553969256, 0.36945433667391014, 0.37130160835727966, 0.37315811639906593, 0.3750239069810612, 0.3768990265159664, 0.3787835216485462, 0.3806774392567888, 0.3825808264530727, 0.3844937305853379, 0.38641619923826453, 0.3883482802344558, 0.3902900216356279, 0.39224147174380597, 0.39420267910252493, 0.39617369249803747, 0.39815456096052754, 0.4001453337653301, 0.4021460604341567, 0.4041567907363274, 0.4061775746900089, 0.40820846256345883, 0.41024950487627604, 0.41230075240065733, 0.41436225616266054, 0.4164340674434737, 0.418516237780691, 0.42060881896959434, 0.42271186306444225, 0.42482542237976434, 0.4269495494916631, 0.4290842972391213, 0.4312297187253168, 0.4333858673189433, 0.43555279665553787, 0.4377305606388155, 0.43991921344200946, 0.4421188095092194, 0.44432940355676537, 0.44655105057454914, 0.4487838058274218, 0.4510277248565588, 0.45328286348084146, 0.45554927779824556, 0.4578270241872367, 0.46011615930817273, 0.4624167401047135, 0.46472882380523695, 0.467052467924263, 0.46938773026388425, 0.47173466891520355, 0.47409334225977945, 0.47646380897107826, 0.4788461280159335, 0.4812403586560131, 0.48364656044929305, 0.4860647932515394, 0.488495117217797, 0.4909375928038859, 0.49339228076790514, 0.4958592421717446, 0.49833853838260317, 0.5008302310745161, 0.5033343822298886, 0.5058510541410379, 0.508380309411743, 0.5109222109588015, 0.5134768220135955, 0.5160442061236633, 0.5186244271542815, 0.5212175492900528, 0.5238236370365029, 0.5264427552216853, 0.5290749689977936, 0.5317203438427824, 0.5343789455619963, 0.5370508402898061, 0.539736094491255, 0.5424347749637112, 0.5451469488385295, 0.5478726835827221, 0.5506120470006356, 0.5533651072356387, 0.5561319327718167, 0.5589125924356757, 0.5617071553978539, 0.564515691174843, 0.5673382696307171, 0.5701749609788705, 0.5730258357837648, 0.5758909649626835, 0.5787704197874968, 0.5816642718864341, 0.5845725932458662, 0.5874954562120953, 0.5904329334931557, 0.5933850981606213, 0.5963520236514244, 0.5993337837696813, 0.6023304526885296, 0.605342104951972, 0.6083688154767318, 0.6114106595541153, 0.6144677128518857, 0.617540051416145, 0.6206277516732256, 0.6237308904315916, 0.6268495448837494, 0.6299837926081681, 0.6331337115712087, 0.6362993801290646, 0.6394808770297098, 0.6426782814148582, 0.6458916728219323, 0.6491211311860419, 0.6523667368419719, 0.6556285705261816, 0.6589067133788123, 0.6622012469457063, 0.6655122531804346, 0.6688398144463367, 0.6721840135185682, 0.6755449335861609, 0.6789226582540915, 0.6823172715453618, 0.6857288579030885, 0.6891575021926037, 0.6926032897035665, 0.6960663061520843, 0.6995466376828445, 0.7030443708712586, 0.7065595927256147, 0.7100923906892427, 0.7136428526426887, 0.717211066905902, 0.7207971222404314, 0.7244011078516333, 0.7280231133908913, 0.7316632289578455, 0.7353215451026346, 0.7389981528281476, 0.7426931435922882, 0.7464066093102495, 0.7501386423568005, 0.7538893355685844, 0.7576587822464271, 0.761447076157659, 0.7652543115384471, 0.7690805830961392, 0.7729259860116198, 0.7767906159416776, 0.7806745690213859, 0.7845779418664927, 0.788500831575825, 0.7924433357337038, 0.7964055524123722, 0.8003875801744339, 0.8043895180753059, 0.8084114656656822, 0.8124535229940104, 0.8165157906089803, 0.820598369562025, 0.824701361409835, 0.828824868216884, 0.8329689925579682, 0.8371338375207578, 0.8413195067083614, 0.845526104241903, 0.8497537347631123, 0.8540025034369276, 0.8582725159541121, 0.8625638785338825, 0.8668766979265516, 0.8712110814161842, 0.8755671368232649, 0.8799449725073811, 0.8843446973699178, 0.8887664208567672, 0.8932102529610508, 0.8976763042258559, 0.9021646857469849, 0.9066755091757196, 0.911208886721598, 0.9157649311552059, 0.9203437558109816, 0.9249454745900363, 0.9295702019629862, 0.934218052972801, 0.9388891432376648, 0.9435835889538529, 0.9483015068986219, 0.9530430144331148, 0.9578082295052802, 0.9625972706528063, 0.9674102570060702, 0.9722473082911003, 0.9771085448325556, 0.9819940875567181, 0.9869040579945014, 0.9918385782844737, 0.9967977711758959, 1.001781760031775, 1.0067906688319337, 1.0118246221760931, 1.0168837452869735, 1.0219681640134082, 1.027078004833475, 1.032213394857642, 1.03737446183193, 1.0425613341410893, 1.0477741408117947, 1.0530130115158534, 1.0582780765734323, 1.0635694669562992, 1.0688873142910804, 1.0742317508625356, 1.079602909616848, 1.085000924164932, 1.0904259287857565, 1.095878058429685, 1.1013574487218332, 1.1068642359654421, 1.112398557145269, 1.117960549930995, 1.1235503526806498, 1.129168104444053, 1.1348139449662729, 1.1404880146911038, 1.1461904547645592, 1.1519214070383816, 1.1576810140735734, 1.163469419143941, 1.1692867662396604, 1.1751332000708585, 1.1810088660712124, 1.1869139104015682, 1.192848479953576, 1.1988127223533434, 1.20480678596511, 1.2108308198949351, 1.2168849739944094, 1.2229693988643813, 1.2290842458587028, 1.235229667087996, 1.2414058154234358, 1.2476128445005528, 1.2538509087230552, 1.26012016326667, 1.2664207640830032, 1.272752867903418, 1.2791166322429348, 1.2855122154041492, 1.2919397764811695, 1.298399475363575, 1.3048914727403926, 1.3114159301040944, 1.3179730097546145, 1.3245628748033873, 1.3311856891774039, 1.3378416176232906, 1.3445308257114068, 1.3512534798399634, 1.358009747239163, 1.3647997959753584, 1.371623794955235, 1.3784819139300108, 1.3853743234996605, 1.3923011951171584, 1.399262701092744, 1.4062590145982075, 1.4132903096711982, 1.4203567612195538, 1.4274585450256512, 1.434595837750779, 1.4417688169395326, 1.44897766102423, 1.4562225493293508, 1.4635036620759971, 1.4708211803863769, 1.4781752862883084, 1.4855661627197496, 1.492993993533348, 1.5004589635010144, 1.5079612583185191, 1.5155010646101115, 1.5230785699331615, 1.530693962782827, 1.5383474325967408, 1.5460391697597242, 1.5537693656085225, 1.5615382124365647, 1.5693459034987471, 1.5771926330162405, 1.5850785961813214, 1.5930039891622276, 1.6009690091080384, 1.608973854153578, 1.6170187234243456, 1.6251038170414671, 1.633229336126674, 1.641395482807307, 1.649602460221343, 1.6578504725224494, 1.6661397248850613, 1.6744704235094863, 1.6828427756270332, 1.6912569895051681, 1.6997132744526935, 1.7082118408249565, 1.7167529000290809, 1.725336664529226, 1.7339633478518717, 1.7426331645911306, 1.751346330414086, 1.760103062066156, 1.7689035773764863, 1.7777480952633684, 1.7866368357396847, 1.7955700199183828, 1.8045478700179742, 1.8135706093680637, 1.8226384624149037, 1.8317516547269777, 1.8409104130006122, 1.8501149650656148, 1.8593655398909423, 1.8686623675903966, 1.8780056794283482, 1.8873957078254895, 1.8968326863646165, 1.9063168497964391, 1.915848434045421, 1.9254276762156477, 1.9350548145967255, 1.9447300886697085, 1.9544537391130568, 1.9642260078086216, 1.974047137847664, 1.983917373536902, 1.993836960404586, 2.0038061452066085, 2.013825175932641, 2.023894301812304, 2.034013773321365, 2.0441838421879712, 2.0544047613989105, 2.0646767852059047, 2.0750001691319335, 2.085375169977593, 2.0958020458274804, 2.106281056056617, 2.1168124613368997, 2.127396523643584, 2.1380335062618014, 2.1487236737931097, 2.159467292162075, 2.170264628622885, 2.1811159517659986, 2.192021531524828, 2.2029816391824517, 2.2139965473783634, 2.225066530115255, 2.2361918627658306, 2.2473728220796594, 2.258609686190057, 2.269902734621007, 2.2812522482941113, 2.292658509535581, 2.304121802083259, 2.3156424110936746, 2.327220623149142, 2.3388567262648876, 2.3505510098962112, 2.362303764945692, 2.37411528377042, 2.385985860189271, 2.397915789490217, 2.4099053684376677, 2.4219548952798555, 2.4340646697562542, 2.4462349931050347, 2.4584661680705593, 2.4707584989109117, 2.4831122914054657, 2.4955278528624922, 2.5080054921268045, 2.5205455195874378, 2.533148247185374, 2.5458139884213007, 2.5585430583634063, 2.571335773655223, 2.5841924525234985, 2.5971134147861155, 2.6100989818600455, 2.623149476769345, 2.636265224153191, 2.6494465502739564, 2.6626937830253254, 2.6760072519404514, 2.689387288200153, 2.7028342246411534, 2.7163483957643586, 2.7299301377431795, 2.743579788431895, 2.7572976873740536, 2.7710841758109233, 2.7849395966899775, 2.7988642946734266, 2.812858616146793, 2.8269229092275263, 2.8410575237736633, 2.855262811392531, 2.869539125449493, 2.88388682107674, 2.898306255182123, 2.912797786458033, 2.9273617753903225, 2.941998584267273, 2.956708577188609, 2.971492120074551, 2.9863495806749234, 3.001281328578297, 3.016287735221188, 3.031369173897293, 3.046526019766779, 3.061758649865612, 3.0770674431149394, 3.0924527803305137, 3.1079150442321652, 3.1234546194533257, 3.1390718925505916, 3.1547672520133436, 3.1705410882734095, 3.186393793714776, 3.202325762683349, 3.2183373914967652, 3.234429078454248, 3.2506012238465187, 3.2668542299657504, 3.2831885011155784, 3.299604443621156, 3.3161024658392604, 3.332682978168456, 3.3493463930592977, 3.366093125024593, 3.3829235906497157, 3.3998382086029633, 3.4168373996459773, 3.4339215866442063, 3.4510911945774265, 3.468346650550313, 3.4856883838030637, 3.503116825722078, 3.520632409850688, 3.5382355718999405, 3.5559267497594393, 3.573706383508236, 3.591574915425776, 3.609532790002904, 3.627580453952918, 3.6457183562226816, 3.6639469480037943, 3.682266682743812, 3.7006780161575303, 3.719181406238317, 3.737777313269508, 3.7564661998358546, 3.7752485308350328, 3.7941247734892074, 3.8130953973566526, 3.832160874343435, 3.851321678715151, 3.8705782871087258, 3.8899311785442685, 3.909380834436989, 3.928927738609173, 3.948572377302218, 3.9683152391887284, 3.988156815384671, 4.0080975994615935, 4.028138087458901, 4.048278777896194, 4.068520171785674, 4.088862772644601, 4.109307086507823, 4.129853621940362, 4.1505028900500625, 4.171255404500312, 4.192111681522812, 4.213072239930425, 4.234137601130077, 4.255308289135726, 4.276584830581403, 4.29796775473431, 4.31945759350798, 4.341054881475519, 4.362760155882896, 4.384573956662309, 4.40649682644562, 4.428529310577847, 4.450671957130735, 4.472925316916387, 4.4952899435009686, 4.517766393218472, 4.540355225184563, 4.563057001310486, 4.585872286317037, 4.608801647748621, 4.631845655987363, 4.655004884267298, 4.678279908688634, 4.7016713082320765, 4.725179664773235, 4.7488055630971004, 4.772549590912585, 4.796412338867147, 4.820394400561481, 4.844496372564287, 4.868718854427108, 4.893062448699243, 4.917527760942738, 4.94211539974745, 4.966825976746186, 4.991660106629916, 5.016618407163064, 5.041701499198876, 5.066910006694871, 5.092244556728348, 5.117705779511986, 5.1432943084095415, 5.1690107799515905, 5.19485583385135, 5.220830113020603, 5.246934263585702, 5.273168934903632, 5.299534779578152, 5.326032453476039, 5.352662615743415, 5.379425928822133, 5.406323058466246, 5.433354673758573, 5.460521447127362, 5.487824054363, 5.515263174634816, 5.542839490507986, 5.570553687960522, 5.598406456400326, 5.626398488682329, 5.654530481125737, 5.682803133531362, 5.71121714919902, 5.739773234945017, 5.7684721011197375, 5.797314461625332, 5.82630103393346, 5.855432539103129, 5.8847097017986405, 5.914133250307629, 5.943703916559169, 5.973422436141966, 6.003289548322671, 6.03330599606428, 6.063472526044603, 6.093789888674828, 6.124258838118198, 6.154880132308785, 6.1856545329703305, 6.216582805635183, 6.247665719663355, 6.2789040482616665, 6.310298568502977, 6.341850061345494, 6.373559311652216, 6.405427108210473, 6.437454243751527, 6.469641514970286, 6.501989722545133, 6.534499671157854, 6.567172169513645, 6.600008030361215, 6.633008070513016, 6.666173110865576, 6.699503976419906, 6.733001496302007, 6.7666665037835125, 6.800499836302425, 6.834502335483939, 6.86867484716136, 6.903018221397162, 6.937533312504143, 6.972220979066665, 7.0070820839620005, 7.042117494381806, 7.077328081853709, 7.11271472226298, 7.148278295874297, 7.184019687353663, 7.219939785790426, 7.25603948471938, 7.2923196821429785, 7.328781280553688, 7.365425186956451, 7.402252312891235, 7.439263574455694, 7.476459892327967, 7.513842191789601, 7.551411402748551, 7.589168459762297, 7.627114302061102, 7.665249873571402, 7.7035761229392605, 7.74209400355396, 7.780804473571723, 7.819708495939576, 7.858807038419276, 7.898101073611375, 7.937591578979426, 7.977279536874317, 8.01716593455869, 8.057251764231486, 8.097538023052637, 8.138025713167895, 8.178715841733737, 8.219609420942408, 8.260707468047114, 8.302011005387342, 8.343521060414282, 8.385238665716356, 8.427164859044932, 8.46930068334015, 8.511647186756854, 8.55420542269064, 8.596976449804087, 8.639961332053101, 8.683161138713368, 8.726576944406938, 8.770209829128966, 8.814060878274605, 8.85813118266598, 8.902421838579313, 8.946933947772202, 8.991668617511056, 9.036626960598614, 9.08181009540161, 9.12721914587861, 9.172855241607998, 9.218719517816039, 9.264813115405122, 9.311137180982142, 9.357692866887046, 9.404481331221483, 9.451503737877593, 9.498761256566974, 9.546255062849802, 9.593986338164054, 9.641956269854877, 9.690166051204143, 9.738616881460157, 9.787309965867461, 9.8362465156968, 9.885427748275278, 9.934854887016646, 9.984529161451732, 10.034451807258995, 10.084624066295282, 10.13504718662675, 10.185722422559886, 10.23665103467269, 10.287834289846044, 10.339273461295267, 10.390969828601747, 10.442924677744758, 10.495139301133474, 10.547614997639133, 10.600353072627332, 10.653354837990472, 10.706621612180417, 10.76015472024131, 10.81395549384252, 10.868025271311735, 10.922365397668287, 10.97697722465662, 11.031862110779906, 11.087021421333809, 11.14245652844047, 11.198168811082663, 11.25415965513808, 11.310430453413773, 11.366982605680834, 11.42381751870923, 11.480936606302778, 11.538341289334296, 11.59603299578096, 11.654013160759854, 11.712283226563658, 11.77084464269648, 11.829698865909952, 11.888847360239494, 11.948291597040694, 12.008033055025901, 12.068073220301022, 12.128413586402518, 12.189055654334535, 12.25000093260621, 12.311250937269232, 12.37280719195557, 12.43467122791535, 12.49684458405493, 12.559328806975195, 12.622125451010062, 12.685236078265117, 12.748662258656445, 12.812405569949718, 12.876467597799458, 12.940849935788458, 13.005554185467403, 13.070581956394731, 13.135934866176695, 13.201614540507583, 13.267622613210124, 13.333960726276164, 13.400630529907536, 13.467633682557077, 13.534971850969866, 13.602646710224706, 13.670659943775819, 13.739013243494702, 13.80770830971218, 13.87674685126073, 13.946130585517023, 14.015861238444613, 14.08594054463684, 14.156370247360012, 14.227152098596802, 14.29828785908979, 14.369779298385243, 14.44162819487716, 14.513836335851535, 14.586405517530796, 14.659337545118454, 14.732634232844035, 14.806297404008244, 14.88032889102829, 14.954730535483435, 15.02950418816084, 15.104651709101635, 15.180174967647146, 15.256075842485387, 15.332356221697802, 15.40901800280628, 15.486063092820315, 15.56349340828442, 15.641310875325832, 15.71951742970245, 15.798115016850966, 15.877105591935225, 15.95649111989489, 16.036273575494352, 16.116454943371828, 16.197037218088692, 16.278022404179122, 16.359412516200006, 16.441209578781013, 16.52341562667492, 16.606032704808282, 16.68906286833231, 16.772508182673977, 16.856370723587354, 16.940652577205277, 17.02535584009129, 17.11048261929175, 17.196035032388217, 17.282015207550145, 17.368425283587882, 17.455267410005828, 17.54254374705586, 17.630256465791128, 17.718407748120068, 17.806999786860676, 17.89603478579498, 17.985514959723943, 18.07544253452255, 18.16581974719517, 18.25664884593115, 18.347932090160793, 18.43967175061158, 18.531870109364643, 18.62452945991147, 18.717652107211016, 18.811240367747057, 18.905296569585797, 18.999823052433733, 19.094822167695888, 19.19029627853435, 19.28624775992703, 19.38267899872667, 19.47959239372029, 19.576990355688874, 19.674875307467325, 19.773249684004668, 19.872115932424677, 19.971476512086785, 20.071333894647225, 20.171690564120468, 20.272549016941053, 20.373911762025745, 20.47578132083588, 20.578160227440062, 20.681051028577247, 20.784456283720118, 20.888378565138726, 20.992820457964424, 21.097784560254233, 21.203273483055487, 21.30928985047077, 21.41583629972313, 21.52291548122173, 21.630530058627823, 21.73868270892097, 21.84737612246558, 21.95661300307789, 22.066396068093262, 22.176728048433734, 22.28761168867591, 22.399049747119275, 22.511044995854853, 22.623600220834135, 22.73671822193831, 22.850401813047984, 22.96465382211321, 23.07947709122378, 23.194874476679907, 23.310848849063287, 23.427403093308588, 23.544540108775138, 23.66226280931902, 23.780574123365597, 23.899476993982407, 24.018974378952326, 24.139069250847093, 24.259764597101313, 24.3810634200868, 24.502968737187242, 24.625483580873183, 24.748610998777533, 24.8723540537714, 24.996715824040265, 25.121699403160473, 25.247307900176256, 25.37354443967712, 25.500412161875513, 25.627914222684897, 25.7560537937983, 25.884834062767275, 26.01425823308112, 26.14432952424653, 26.275051171867744, 26.406426427727062, 26.538458559865706, 26.671150852665043, 26.804506606928346, 26.93852913996297, 27.073221785662792, 27.208587894591112, 27.34463083406405, 27.481353988234346, 27.618760758175526, 27.756854561966414, 27.895638834776225, 28.035117028950083, 28.175292614094843, 28.316169077165323, 28.45774992255113, 28.600038672163866, 28.743038865524692, 28.886754059852322, 29.031187830151563, 29.1763437693023, 29.32222548814882, 29.46883661558957, 29.616180798667497, 29.764261702660814, 29.913083011174127, 30.062648426230005, 30.21296166836113, 30.364026476702914, 30.515846609086438, 30.668425842131878, 30.821767971342517, 30.975876811199207, 31.13075619525521, 31.286409976231496, 31.44284202611263, 31.60005623624317, 31.758056517424393, 31.916846800011523, 32.076431034011556, 32.23681318918159, 32.39799725512751, 32.55998724140316, 32.722787177610144, 32.886401113498174, 33.05083311906567, 33.21608728466101, 33.38216772108429, 33.54907855968969, 33.71682395248815, 33.8854080722506, 34.054835112611826, 34.225109288174856, 34.39623483461574, 34.56821600878883, 34.74105708883275, 34.91476237427688, 35.08933618614828, 35.264782867079035, 35.4411067814144, 35.61831231532145, 35.79640387689806, 35.97538589628256, 36.15526282576395, 36.33603913989274, 36.51771933559222, 36.700307932270185, 36.883809471931514, 37.06822851929114, 37.25356966188761, 37.43983751019706, 37.62703669774801, 37.81517188123672, 38.00424774064292, 38.19426897934614, 38.385240324242844, 38.57716652586403, 38.770052358493366, 38.96390262028584, 39.15872213338724, 39.35451574405415, 39.55128832277443, 39.749044764388316, 39.947789988210225, 40.14752893815125, 40.348266582842015, 40.55000791575623, 40.752757955334985, 40.95652174511163, 41.1613043538372, 41.3671108756064, 41.573946429984396, 41.78181616213429, 41.990725242944976, 42.20067886915971, 42.411682263505476, 42.623740674822976, 42.8368593781971, 43.051043675088096, 43.26629889346351, 43.48263038793079, 43.70004353987046, 43.91854375756982, 44.13813647635764, 44.358827158739395, 44.5806212945331, 44.80352440100578, 45.027542023010774, 45.252679733125795, 45.47894313179144, 45.706337847450406, 45.93486953668763, 46.16454388437103, 46.395366603792894, 46.62734343681188, 46.8604801539959, 47.09478255476584, 47.330256467539684, 47.5669077498774, 47.80474228862675, 48.04376600006985, 48.28398483007021, 48.525404754220574, 48.768031777991645, 49.01187193688156, 49.25693129656599, 49.50321595304883, 49.750732032814035, 49.99948569297807, 50.24948312144297, 50.5007305370502, 50.753234189735416, 51.00700036068405, 51.26203536248749, 51.51834553929994, 51.7759372669964, 52.034816953331344, 52.29499103809802, 52.55646599328852, 52.819248323254925, 53.08334456487116, 53.34876128769553, 53.61550509413402, 53.88358261960465, 54.153000532702634, 54.423765535366165, 54.695884363043014, 54.96936378485819, 55.244210603782435, 55.520431656801364, 55.79803381508539, 56.077023984160775, 56.35740910408153, 56.63919614960196, 56.922392130349984, 57.20700409100169, 57.49303911145665, 57.780504307013956, 58.06940682854904, 58.35975386269175, 58.651552632005156, 58.9448103951652, 59.23953444714105, 59.5357321193767, 59.83341077997354, 60.13257783387343, 60.433240723042815, 60.73540692665798, 61.039083961291226, 61.3442793810977, 61.65100077800321, 61.95925578189318, 62.26905206080259, 62.580397321106624, 62.89329930771218, 63.20776580425069, 63.523804633271894, 63.84142365643827, 64.16063077472049, 64.48143392859404, 64.80384109823696, 65.12786030372816, 65.45349960524682, 65.780767103273, 66.10967093878932, 66.44021929348328, 66.77242038995072, 67.10628249190043, 67.44181390435988, 67.7790229738817, 68.11791808875113, 68.45850767919482, 68.80080021759075, 69.14480421867873, 69.49052823977213, 69.83798088097095, 70.18717078537576, 70.53810663930265, 70.89079717249918, 71.24525115836163, 71.60147741415338, 71.95948480122416, 72.31928222523031, 72.68087863635641, 73.04428302953814, 73.40950444468585, 73.7765519669093, 74.14543472674379, 74.51616190037745, 74.88874270987935, 75.26318642342878, 75.63950235554586, 76.01769986732353, 76.39778836666018, 76.7797773084935, 77.1636761950359, 77.54949457601103, 77.93724204889111, 78.32692825913558, 78.71856290043121, 79.1121557149333, 79.50771649350798, 79.90525507597555, 80.30478135135537, 80.70630525811208, 81.10983678440267, 81.51538596832471, 81.92296289816626, 82.33257771265704, 82.74424060122034, 83.15796180422647, 83.57375161324754, 83.99162037131372, 84.41157847317031, 84.83363636553618, 85.2578045473638, 85.68409357010056, 86.11251403795109, 86.54307660814086, 86.97579199118151, 87.41067095113735, 87.84772430589305, 88.28696292742255, 88.7283977420596, 89.17203973076982, 89.6178999294237, 90.06598942907084, 90.51631937621613, 90.96890097309715, 91.42374547796265, 91.8808642053525, 92.34026852637919, 92.80196986901102, 93.26597971835609, 93.7323096169479, 94.20097116503257, 94.67197602085767, 95.14533590096198, 95.62106258046681, 96.09916789336908, 96.57966373283585, 97.06256205150007, 97.54787486175759, 98.03561423606631, 98.52579230724656, 99.01842126878282, 99.51351337512676, 100.01108094200232, 100.51113634671226, 101.01369202844585, 101.51876048858811, 102.02635429103097, 102.53648606248605, 103.04916849279851, 103.56441433526253, 104.08223640693876, 104.60264758897338, 105.12566082691828, 105.6512891310529, 106.17954557670808, 106.71044330459155, 107.24399552111454, 107.78021549872014, 108.31911657621366, 108.86071215909465, 109.40501571989014, 109.95204079848963, 110.501801002482, 111.05431000749432, 111.60958155753183, 112.16762946531952, 112.72846761264603, 113.29210995070918, 113.85857050046276, 114.4278633529651, 115.00000266972984, 115.57500268307841, 116.15287769649383, 116.73364208497632, 117.31731029540113, 117.90389684687804, 118.49341633111247, 119.08588341276807, 119.68131282983181, 120.27971939398088, 120.88111799095083, 121.4855235809056, 122.09295119881004, 122.703415954804, 123.31693303457806, 123.93351769975098, 124.55318528824965, 125.1759512146908, 125.80183097076429, 126.43084012561815, 127.06299432624614, 127.69830929787729, 128.3368008443667, 128.97848484858858, 129.62337727283142, 130.27149415919547, 130.9228516299915, 131.5774658881415, 132.2353532175821, 132.89652998366992, 133.5610126335883, 134.22881769675627, 134.89996178523995, 135.57446159416605, 136.2523339021369, 136.93359557164766, 137.61826354950577, 138.30635486725322, 138.9978866415895, 139.6928760747975, 140.3913404551714, 141.09329715744713, 141.79876364323442, 142.50775746145064, 143.22029624875776, 143.93639773000146, 144.6560797186515, 145.3793601172448, 146.1062569178309, 146.83678820241997, 147.5709721434321, 148.3088270041493, 149.05037113916993, 149.79562299486568, 150.54460110984004, 151.2973241153893, 152.05381073596612, 152.81407978964583, 153.57815018859412, 154.34604093953712, 155.1177711442347, 155.89335999995575, 156.67282679995557, 157.4561909339554, 158.24347188862507, 159.03468924806808, 159.82986269430845, 160.62901200778003, 161.43215706781882, 162.2393178531578, 163.05051444242363, 163.8657670146358, 164.68509584970886, 165.50852132895727, 166.3360639356021, 167.16774425528016, 168.00358297655643, 168.84360089143908, 169.68781889589633, 170.53625799037587, 171.3889392803276, 172.24588397672912, 173.10711339661282, 173.97264896359593, 174.84251220841378, 175.7167247694557, 176.59530839330304, 177.4782849352696, 178.36567635994584, 179.25750474174544, 180.1537922654542, 181.05456122678152, 181.9598340329153, 182.86963320307973, 183.7839813690952, 184.70290127594072, 185.6264157823203, 186.55454786123175, 187.48732060053794, 188.4247572035407, 189.36688098955827, 190.31371539450592, 191.26528397147848, 192.22161039133593, 193.1827184432925, 194.1486320355088, 195.1193751956864, 196.09497207166487, 197.07544693202306, 198.06082416668303, 199.0511282875165, 200.04638392895413, 201.04661584859875, 202.0518489278416, 203.06210817248086, 204.07741871334332, 205.0978058069099, 206.12329483594428, 207.15391131012407, 208.18968086667473, 209.23062927100796, 210.27678241736285, 211.32816632944972, 212.38480716109703, 213.44673119690236, 214.51396485288672, 215.5865346771512, 216.66446735053702, 217.74778968728955, 218.8365286357258, 219.9307112789045, 221.0303648352991, 222.13551665947543, 223.24619424277265, 224.36242521398657, 225.48423734005655, 226.61165852675668, 227.7447168193903, 228.8834404034873, 230.0278576055048, 231.17799689353217, 232.33388687799965, 233.4955563123897, 234.66303409395172, 235.8363492644213, 237.01553101074325, 238.20060866579703, 239.39161170912607, 240.58856976767154, 241.79151261650972, 243.00047017959233, 244.21547253049036, 245.43654989314263, 246.66373264260815, 247.89705130582126, 249.13653656235044, 250.38221924516202, 251.63413034138762, 252.89230099309464, 254.15676249806017, 255.4275463105503, 256.7046840421028, 257.9882074623134, 259.2781484996251, 260.574539242123, 261.8774119383334, 263.18679899802515, 264.5027329930154, 265.82524665798024, 267.15437289126993, 268.49014475572636, 269.8325954795051, 271.1817584569024, 272.5376672491867, 273.90035558543275, 275.26985736335996, 276.64620665017657, 278.02943768342726, 279.41958487184445, 280.81668279620374, 282.2207662101846, 283.6318700412353, 285.0500293914415, 286.4752795383988, 287.9076559360906, 289.34719421577086, 290.79393018684976, 292.24789983778413, 293.70913933697284, 295.17768503365744, 296.6535734588258, 298.13684132612, 299.62752553275044, 301.1256631604139, 302.6312914762161, 304.1444479335973, 305.66517017326504, 307.19349602413115, 308.72946350425184, 310.27311082177323, 311.82447637588183, 313.38359875776104, 314.9505167515499, 316.52526933530777, 318.1078956819841, 319.69843516039373, 321.2969273361958, 322.9034119728769, 324.517929032741, 326.1405186779045, 327.7712212712941, 329.4100773776506, 331.0571277645387, 332.7124134033611, 334.375975470378, 336.04785534773, 337.7280946244684, 339.41673509759045, 341.11381877307855, 342.819387866944, 344.53348480627847, 346.2561522303096, 347.9874329914613, 349.72737015641866, 351.4760070072005, 353.23338704223625, 354.99955397744753, 356.77455174733484, 358.5584245060713, 360.3512166286013, 362.15297271174444, 363.9637375753033, 365.78355626317955, 367.6124740444952, 369.4505364147177, 371.2977890967914, 373.1542780422751, 375.0200494324862, 376.89514967964874, 378.7796254280471, 380.67352355518705, 382.5768911729627, 384.4897756288276, 386.4122245069718, 388.34428562950643, 390.28600705765365, 392.23743709294206, 394.19862427840684, 396.1696173997986, 398.1504654867973, 400.1412178142314, 402.14192390330265, 404.15263352281886, 406.1733966904327, 408.20426367388495, 410.2452849922545, 412.29651141721547, 414.3579939743012, 416.42978394417287, 418.51193286389383, 420.604492528213, 422.7075149908537, 424.82105256580815, 426.94515782863726, 429.0798836177802, 431.22528303586876, 433.3814094510482, 435.54831649830356, 437.72605808079476, 439.9146883711984, 442.1142618130545, 444.3248331221199, 446.54645728773016, 448.7791895741685, 451.0230855220395, 453.2782009496498, 455.54459195439773, 457.82231491416934, 460.11142648874034, 462.41198362118416, 464.7240435392897, 467.04766375698586, 469.3829020757709, 471.72981658614987, 474.0884656690803, 476.45890799742534, 478.8412025374126, 481.2354085500998, 483.64158559284994, 486.0597935208138, 488.49009248841804, 490.93254295086024, 493.3872056656142, 495.85414169394187, 498.33341240241174, 500.82507946442394, 503.32920486174567, 505.84585088605405, 508.37508014048393, 510.916955541187, 513.4715403188926, 516.0388980204866, 518.6190925105898, 521.2121879731424, 523.8182489130077, 526.4373401575723, 529.0695268583597, 531.7148744926523, 534.3734488651152, 537.0453161094403, 539.7305426899882, 542.4291954034377, 545.1413413804545, 547.8670480873564, 550.6063833277927, 553.3594152444324, 556.1262123206542, 558.9068433822571, 561.7013775991691, 564.5098844871645, 567.3324339095999, 570.1690960791475, 573.0199415595428, 575.8850412673412, 578.7644664736775, 581.6582888060454, 584.5665802500764, 587.4894131513264, 590.4268602170825, 593.3789945181676, 596.3458894907579, 599.3276189382125, 602.3242570329031, 605.3358783180672, 608.3625577096583, 611.4043704982062, 614.4613923506968, 617.5336993124498, 620.6213678090115, 623.7244746480575, 626.8430970212972, 629.9773125064032, 633.1271990689361, 636.2928350642803, 639.4742992396012, 642.6716707357988, 645.8850290894773, 649.1144542349256, 652.3600265060996, 655.6218266386297, 658.8999357718237, 662.1944354506824, 665.5054076279353, 668.8329346660744, 672.1770993394043, 675.5379848361022, 678.9156747602822, 682.310253134083, 685.7218043997544, 689.1504134217527, 692.596165488861, 696.0591463163047, 699.5394420478857, 703.0371392581261, 706.5523249544161, 710.0850865791878, 713.6355120120846, 717.2036895721444, 720.7897080200047, 724.3936565601041, 728.0156248429041, 731.6557029671196, 735.3139814819547, 738.9905513893639, 742.6855041463117, 746.3989316670427, 750.1309263253773, 753.8815809570036, 757.650988861788, 761.439243806098, 765.246440025128, 769.072672225253, 772.9180355863803, 776.7826257643117, 780.6665388931326, 784.5698715875976, 788.4927209455351, 792.4351845502638, 796.3973604730145, 800.379347275379, 804.381244011757, 808.4031502318151, 812.4451659829735, 816.5073918128878, 820.5899287719517, 824.6928784158125, 828.8163428078909, 832.9604245219298, 837.1252266445406, 841.3108527777626, 845.5174070416508, 849.7449940768585, 853.993719047242, 858.2636876424795, 862.5550060806912, 866.867781111094, 871.2021200166506, 875.5581306167331, 879.9359212698162, 884.3356008761646, 888.7572788805447, 893.2010652749486, 897.6670706013227, 902.1554059543287, 906.6661829841015, 911.1995138990213, 915.7555114685158, 920.3342890258576, 924.9359604709863, 929.5606402733424, 934.2084434747085, 938.8794856920813, 943.5738831205429, 948.2917525361449, 953.0332112988249, 957.7983773553184, 962.5873692420943, 967.4003060883059, 972.2373076187467, 977.0984941568398, 981.9839866276252, 986.8939065607626, 991.8283760935657, 996.7875179740328, 1001.7714555639022, 1006.780312841723, 1011.8142144059309, 1016.8732854779598, 1021.957651905351, 1027.0674401648769, 1032.2027773657005, 1037.3637912525282, 1042.5506102087902, 1047.7633632598354, 1053.0021800761338, 1058.2671909765138, 1063.5585269313976, 1068.876319566054, 1074.2207011638834, 1079.591804669702, 1084.9897636930498, 1090.4147125115164, 1095.8667860740732, 1101.3461200044426, 1106.8528506044663, 1112.3871148574879, 1117.9490504317744, 1123.5387956839324, 1129.1564896623513, 1134.8022721106645, 1140.476283471217, 1146.1786648885723, 1151.9095582130167, 1157.6691060040807, 1163.4574515341003, 1169.27473879177, 1175.121112485728, 1180.996718048158, 1186.901701638398, 1192.836210146589, 1198.8003911973237, 1204.7943931533093, 1210.818365119075, 1216.8724569446695, 1222.956819229392, 1229.0716033255405, 1235.2169613421672, 1241.3930461488771, 1247.6000113796233, 1253.8380114365204, 1260.1072014937022, 1266.4077375011695, 1272.7397761886746, 1279.1034750696197, 1285.4989924449667, 1291.9264874071905, 1298.3861198442282, 1304.8780504434485, 1311.4024406956646, 1317.959452899142, 1324.5492501636368, 1331.1719964144568, 1337.827856396528, 1344.5169956785096, 1351.2395806569039, 1357.9957785601875, 1364.7857574529874, 1371.6096862402512, 1378.4677346714516, 1385.3600733448106, 1392.2868737115336, 1399.2483080800903, 1406.2445496204925, 1413.2757723685938, 1420.3421512304358, 1427.4438619865869, 1434.5810812965187, 1441.7539867030032, 1448.9627566365173, 1456.2075704196986, 1463.4886082717992, 1470.806051313157, 1478.1600815697218, 1485.5508819775691, 1492.978636387456, 1500.4435295693952, 1507.945747217241, 1515.4854759533262, 1523.0629033330947, 1530.678217849759, 1538.3316089390066, 1546.0232669837005, 1553.753383318618, 1561.522150235213, 1569.329760986388, 1577.1764097913187, 1585.0622918402773, 1592.9876032994775, 1600.9525413159738, 1608.9573040225525, 1617.002090542664, 1625.0871009953794, 1633.212536500355, 1641.3785991828559, 1649.5854921787723, 1657.8334196396647, 1666.1225867378619, 1674.45319967155, 1682.8254656699064, 1691.239592998258, 1699.695790963248, 1708.1942699180631, 1716.7352412676557, 1725.3189174739928, 1733.9455120613613, 1742.615239621667, 1751.328315819774, 1760.084957398875, 1768.8853821858681, 1777.729809096796, 1786.6184581422824, 1795.5515504329926, 1804.5293081851562, 1813.5519547260806, 1822.6197144997097, 1831.7328130722105, 1840.8914771375703, 1850.0959345232568, 1859.3464141958755, 1868.6431462668536, 1877.9863619981863, 1887.376293808176, 1896.8131752772154, 1906.2972411536039, 1915.8287273593705, 1925.407870996166, 1935.0349103511494, 1944.7100849029036, 1954.4336353274166, 1964.2058035040523, 1974.0268325215711, 1983.8969666841815, 1993.8164515176009, 2003.7855337751876, 2013.804461444066, 2023.8734837512848, 2033.9928511700398, 2044.1628154258885, 2054.3836295030164, 2064.655547650534, 2074.978825388785, 2085.353719515728, 2095.780488113309, 2106.259390553874, 2116.790687506642, 2127.3746409441733, 2138.0115141488927, 2148.70157171964, 2159.4450795782363, 2170.242304976126, 2181.0935165010096, 2191.998984083513, 2202.958979003929, 2213.973773898947, 2225.04364276844, 2236.168860982285, 2247.349705287195, 2258.5864538136293, 2269.8793860827004, 2281.228783013112, 2292.634926928176, 2304.098101562815, 2315.6185920706275, 2327.1966850309836, 2338.8326684561366, 2350.526831798416, 2362.279465957411, 2374.090863287196, 2385.9613176036305, 2397.8911241916467, 2409.880579812603, 2421.9299827116693, 2434.0396326252257, 2446.2098307883502, 2458.4408799422954, 2470.733084342005, 2483.086749763713, 2495.50218351253, 2507.9796944300906, 2520.5195929022443, 2533.1221908667535, 2545.7878018210854, 2558.516740830194, 2571.3093245343434, 2584.165871157013, 2597.086700512796, 2610.072134015358, 2623.1224946854386, 2636.238107158864, 2649.419297694656, 2662.666394183133, 2675.9797261540466, 2689.3596247848145, 2702.8064229087367, 2716.3204550232786, 2729.902057298398, 2743.5515675848883, 2757.2693254228107, 2771.0556720499285, 2784.910950410176, 2798.8355051622248, 2812.8296826880337, 2826.8938311014717, 2841.028300256983, 2855.2334417582656, 2869.509608967055, 2883.857157011894, 2898.2764427969514, 2912.767825010934, 2927.3316641359866, 2941.9683224566643, 2956.6781640689514, 2971.461554889294, 2986.318862663738, 3001.250456977061, 3016.256709261944, 3031.3379928082513, 3046.49468277229, 3061.7271561861494, 3077.035791967084, 3092.420970926917, 3107.8830757815495, 3123.4224911604615, 3139.0396036162615, 3154.7348016343403, 3170.5084756425094, 3186.3610180207197, 3202.2928231108276, 3218.3042872263795, 3234.395808662509, 3250.5677877058256, 3266.820626644352, 3283.1547297775714, 3299.570503426457, 3316.068355943587, 3332.648697723309, 3349.311941211923, 3366.0585009179804, 3382.8887934225745, 3399.803237389685, 3416.802253576631, 3433.8862648445115, 3451.0556961687316, 3468.3109746495797, 3485.652529522825, 3503.0807921704363, 3520.5961961312933, 3538.199177111947, 3555.890172997504, 3573.669623862489, 3591.537971981799, 3609.4956618417127, 3627.5431401509186, 3645.6808558516705, 3663.9092601309335, 3682.2288064315853, 3700.6399504637407, 3719.1431502160563, 3737.7388659671337, 3756.4275602969747, 3775.2096980984566, 3794.085746588946, 3813.056175321896, 3832.1214561985025, 3851.282063479492, 3870.5384737968866, 3889.891166165868, 3909.340621996703, 3928.887325106683, 3948.5317617322135, 3968.27442054088, 3988.1157926435812, 4008.0563716067963, 4028.0966534648273, 4048.2371367321484, 4068.4783224158145, 4088.8207140278905, 4109.264817598027, 4129.811141686022, 4150.460197394449, 4171.212498381418, 4192.068560873323, 4213.028903677686, 4234.09404819608, 4255.264518437058, 4276.540841029239, 4297.923545234391, 4319.41316296056, 4341.01022877536, 4362.715279919233, 4384.528856318826, 4406.451500600426, 4428.483758103424, 4450.6261768939385, 4472.879307778414, 4495.243704317302, 4517.719922838885, 4540.308522453077, 4563.0100650653385, 4585.825115390671, 4608.754240967622, 4631.798012172456, 4654.957002233325, 4678.231787244487, 4701.622946180707, 4725.131060911606, 4748.756716216161, 4772.500499797248, 4796.363002296231, 4820.344817307709, 4844.4465413942535, 4868.668774101221, 4893.0121179717235, 4917.4771785615785, 4942.064564454383, 4966.774887276661, 4991.608761713041, 5016.566805521602, 5041.649639549217, 5066.857887746959, 5092.19217718569, 5117.653138071614, 5143.241403761969, 5168.957610780785, 5194.802398834686, 5220.776410828855, 5246.880292883006, 5273.114694347417, 5299.48026781915, 5325.977669158242, 5352.6075575040295, 5379.370595291556, 5406.26744826801, 5433.298785509346, 5460.4652794369, 5487.76760583408, 5515.206443863247, 5542.782476082559, 5570.496388462968, 5598.34887040529, 5626.340614757312, 5654.472317831094, 5682.744679420257, 5711.158402817355, 5739.7141948314365, 5768.4127658055895, 5797.254829634613, 5826.241103782794, 5855.372309301703, 5884.649170848208, 5914.072416702456, 5943.642778785965, 5973.36099267989, 6003.227797643285, 6033.243936631497, 6063.410156314662, 6093.727207096231, 6124.195843131708, 6154.816822347374, 6185.590906459106, 6216.518860991398, 6247.60145529635, 6278.839462572827, 6310.233659885699, 6341.784828185123, 6373.493752326044, 6405.361221087683, 6437.388027193116, 6469.574967329077, 6501.922842165717, 6534.432456376541, 6567.104618658433, 6599.940141751719, 6632.939842460473, 6666.104541672784, 6699.435064381143, 6732.932239703044, 6766.596900901554, 6800.429885406057, 6834.432034833096, 6868.604195007257, 6902.947215982287, 6937.461952062208, 6972.149261822514, 7007.010008131621, 7042.045058172274, 7077.255283463131, 7112.641559880455, 7148.204767679852, 7183.945791518246, 7219.865520475847, 7255.964848078221, 7292.244672318606, 7328.705895680194, 7365.349425158589, 7402.176172284392, 7439.187053145808, 7476.382988411532, 7513.764903353599, 7551.333727870362, 7589.090396509708, 7627.035848492251, 7665.1710277347065, 7703.49688287339, 7742.014367287751, 7780.724439124184, 7819.628061319815, 7858.7262016264085, 7898.019832634534, 7937.509931797701, 7977.197481456684, 8017.083468863978, 8057.168886208292, 8097.454730639327, 8137.942004292534, 8178.63171431399, 8219.524872885555, 8260.622497249977, 8301.92560973622, 8343.435237784912, 8385.15241397383, 8427.078176043693, 8469.213566923923, 8511.559634758536, 8554.117432932322, 8596.888020096978, 8639.872460197455, 8683.071822498454, 8726.48718161094, 8770.119617518989, 8813.970215606596, 8858.040066684622, 8902.330267018038, 8946.841918353122, 8991.57612794488, 9036.534008584616, 9081.716678627532, 9127.125262020663, 9172.760888330778, 9218.624692772426, 9264.717816236282, 9311.041405317455, 9357.596612344036, 9404.384595405769, 9451.40651838279, 9498.663550974698, 9546.156868729584, 9593.887653073223, 9641.857091338583, 9690.066376795268, 9738.516708679237, 9787.209292222647, 9836.145338683753, 9885.326065377165, 9934.752695704063, 9984.426459182576, 10000.0], "fnujy": [1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1989671349151573e-112, 1.1987796931066319e-112, 1.1985932167841657e-112, 1.198407700849599e-112, 1.1982231402325937e-112, 1.1980395298917516e-112, 1.1978568648129917e-112, 1.197675140010278e-112, 1.197494350525721e-112, 1.197314491427996e-112, 1.197135557814404e-112, 1.1969575448083122e-112, 1.196780447560511e-112, 1.1966042612489657e-112, 1.1964289810778258e-112, 1.196254602277961e-112, 1.1960811201066362e-112, 1.195908529847462e-112, 1.1957368268097978e-112, 1.1955660063295616e-112, 1.1953960637674232e-112, 1.1952269945105156e-112, 1.195058793970784e-112, 1.1948914575862294e-112, 1.1947249808191017e-112, 1.1945593591572234e-112, 1.194394588113005e-112, 1.1942306632237522e-112, 1.1940675800512682e-112, 1.1939053341814207e-112, 1.1937439212248393e-112, 1.1935833368158571e-112, 1.1934235766130531e-112, 1.1932646362988589e-112, 1.1931065115786575e-112, 1.1929491981827722e-112, 1.1927926918634973e-112, 1.192636988397049e-112, 1.192482083583289e-112, 1.1923279732438141e-112, 1.1921746532241005e-112, 1.1920221193920597e-112, 1.191870367638235e-112, 1.1917193938750217e-112, 1.1915691940382284e-112, 1.1914197640850122e-112, 1.1912710999948937e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 2.2676334500971203e-112, 2.2556610939100364e-112, 2.243811286493524e-112, 2.2320824652586426e-112, 2.2204730914254977e-112, 2.2089816496050924e-112, 2.1976066473929054e-112, 2.1863466149636607e-112, 2.175200104680526e-112, 2.1641656907087837e-112, 2.153241968635812e-112, 2.1424275551039258e-112, 2.1317210874428976e-112, 2.1211212233145324e-112, 2.1106266403654705e-112, 2.100236035879351e-112, 2.0899481264456914e-112, 2.0797616476256597e-112, 2.0696753536313882e-112, 2.0596880170079416e-112, 2.0497984283210724e-112, 2.0400053958532524e-112, 2.0303077453035265e-112, 2.020704319493576e-112, 2.0111939780793308e-112, 2.0017755972697815e-112, 1.9924480695470198e-112, 1.9832103033958984e-112, 1.974061223036216e-112, 1.9649997681611302e-112, 1.95602489367916e-112, 1.9471355694632266e-112, 1.9383307801016733e-112, 1.9296095246556748e-112, 1.9209708164212555e-112, 1.912413682694562e-112, 1.9039371645422735e-112, 1.8955403165763513e-112, 1.8872222067322331e-112, 1.8789819160527507e-112, 1.8708185384732876e-112, 1.8627311806131788e-112, 1.854718961570348e-112, 1.84678101271937e-112, 1.8389164775133675e-112, 1.8311245112890678e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 6.518533057558401e-103, 5.44403333511175e-103, 4.550744893337066e-103, 3.8074400311572903e-103, 3.188383736089892e-103, 2.672348573153616e-103, 2.241809563873814e-103, 1.882285580463574e-103, 1.58180011273527e-103, 1.330439380157668e-103, 1.1199898965287354e-103, 9.436409406559951e-104, 7.957400962484645e-104, 6.71592220762915e-104, 5.672939850359815e-104, 4.7959757259890746e-104, 4.057983036535608e-104, 3.436419053326522e-104, 2.912479287047823e-104, 2.4704644759949972e-104, 2.0972569187045127e-104, 1.7818869014120637e-104, 1.5151734215829265e-104, 1.289426230131871e-104, 1.0981985235777637e-104, 9.36081508077979e-105, 7.985336069371439e-105, 6.817383544174679e-105, 5.8248606231015586e-105, 4.980752032514862e-105, 4.262301599261522e-105, 3.650325696332282e-105, 3.128639716878439e-105, 2.6835785914964706e-105, 2.3035956141647496e-105, 1.9789265259598306e-105, 1.7013080231246425e-105, 1.4637416897515461e-105, 1.260295872837947e-105, 1.0859392742941476e-105, 9.364010761977144e-106, 8.080532796852247e-106, 6.978116551956159e-106, 6.030522976888466e-106, 5.215412759185011e-106, 4.513752770495367e-106, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.1759620331594164e-112, 1.4366241581136536e-112, 5.557242115814079e-112, 2.135109698047977e-111, 8.147802485721151e-111, 3.0884092615296417e-110, 1.1628342392993954e-109, 4.349144842277055e-109, 1.615873803359312e-108, 5.9640717268111914e-108, 2.186877185476148e-107, 7.966475898930951e-107, 2.2137719858214073e-106, 7.97752074114046e-106, 2.8562803908683406e-105, 1.016121211718622e-104, 3.5918306413713664e-104, 1.2616115080292e-103, 4.403404925795229e-103, 1.5272792906813071e-102, 5.264156070478161e-102, 1.8031548949017236e-101, 6.138252667017376e-101, 2.0767170597629244e-100, 6.983032645451525e-100, 2.3337710567245566e-99, 7.752344409556991e-99, 2.559656165607554e-98, 8.400730119068562e-98, 2.740641719557483e-97, 8.887922568130514e-97, 2.865325060513458e-96, 9.183029506868724e-96, 2.925831095152605e-95, 9.267794450543532e-95, 2.9186365909992667e-94, 9.138453274463489e-94, 2.8448993326499006e-93, 8.805926911010729e-93, 2.710251436232081e-92, 8.294357121560601e-92, 2.524101201525336e-91, 7.638249975999702e-91, 2.2985616994386794e-90, 6.878689763161638e-90, 2.0471729839694148e-89, 6.059189938459352e-89, 1.7836008973340862e-88, 5.221745651426542e-88, 1.5204790056335252e-87, 4.403556091932495e-87, 1.2685181279203109e-86, 3.63472414089827e-86, 1.0359514423830223e-85, 2.9370543731970986e-85, 8.283247473951632e-85, 2.3238961294989255e-84, 6.485918999908931e-84, 1.8846139095194356e-83, 5.203896121956238e-83, 1.429578336260578e-82, 3.907252607752366e-82, 1.0625031761436141e-81, 2.874717475900697e-81, 7.738863752841313e-81, 2.0729421958409624e-80, 5.5250466453892696e-80, 1.4653258938146024e-79, 3.8671651240610747e-79, 1.0155985484949511e-78, 2.654195338641009e-78, 6.902965268322912e-78, 1.7866561456355218e-77, 4.602133211002623e-77, 1.1797790916521036e-76, 3.010064757237897e-76, 7.643546234564968e-76, 1.931826407460718e-75, 4.859657051293969e-75, 1.2167955006225736e-74, 3.032592771288366e-74, 7.523244044304075e-74, 1.8578076044484536e-73, 4.5667872699924576e-73, 1.1174939099000629e-72, 2.7221604197101717e-72, 6.601250481442582e-72, 1.5936479484485566e-71, 3.830204178266072e-71, 9.16483098626047e-71, 2.1832807162237072e-70, 5.178295392370222e-70, 1.2228288546846997e-69, 2.8751174815263544e-69, 6.730788905782478e-69, 1.56893934374811e-68, 3.6415430663255895e-68, 8.41614323871676e-68, 1.936860621536733e-67, 4.4386445762114616e-67, 1.012927218685723e-66, 2.301924407703227e-66, 5.20952168255153e-66, 1.174106798711541e-65, 2.6147572982984932e-65, 5.845225433901864e-65, 1.3013696042793843e-64, 2.885614906065906e-64, 6.372695560159274e-64, 1.4017280899786538e-63, 3.0709225599664874e-63, 6.701115002952771e-63, 1.4564882555670042e-62, 3.15324097157238e-62, 6.799955946082708e-62, 1.4607041577979914e-61, 3.125604919076073e-61, 6.662388099049004e-61, 1.4146797651443542e-60, 2.992450809867059e-60, 6.305867175557073e-60, 1.3237919979321724e-59, 2.768598582219699e-59, 5.768643138967183e-59, 1.1974817062867863e-58, 2.476587557168216e-58, 5.103123546810818e-58, 1.0476688902106444e-57, 2.1430165005038945e-57, 4.367655506474838e-57, 8.869527542249519e-57, 1.794690896347153e-56, 3.6184591321242166e-56, 7.269595732594644e-56, 1.4553153929786603e-55, 2.9031663457212e-55, 5.771148849867754e-55, 1.1432356857252104e-54, 2.256835771868389e-54, 4.4397890797697096e-54, 8.704230617524768e-54, 1.7006366833587806e-53, 3.3114118386225606e-53, 6.42602946940919e-53, 1.2428176552120238e-52, 2.395601567026319e-52, 4.602263574501938e-52, 8.812219900568638e-52, 1.6817571543126705e-51, 3.198987216651963e-51, 6.065129754506812e-51, 1.1477125163481946e-50, 2.1618917698587696e-50, 4.059142388400207e-50, 7.596982023294624e-50, 1.4172984739237094e-49, 2.635735625653619e-49, 4.886180931512614e-49, 9.029656779428282e-49, 1.6634652696273626e-48, 3.0549477856638864e-48, 5.593042675110645e-48, 1.0208300756186351e-47, 1.857489744627782e-47, 3.369563657870452e-47, 6.093990527984725e-47, 1.0987966219899275e-46, 1.975271592463575e-46, 3.540273216922529e-46, 6.326356563750734e-46, 1.1271556957323481e-45, 2.0023219726505527e-45, 3.54658232038131e-45, 6.263522509823875e-45, 1.1029758727858746e-44, 1.9366825054634806e-44, 3.3907997074146477e-44, 5.919749746176033e-44, 1.0305480426236937e-43, 1.7889696523595234e-43, 3.096803574764503e-43, 5.345722264196304e-43, 9.202105921571042e-43, 1.5796548265086766e-42, 2.7041906272129874e-42, 4.6165602797243e-42, 7.859804810106318e-42, 1.3345134778988073e-41, 2.2597375460040251e-41, 3.8161261634071814e-41, 6.427216879851702e-41, 1.0796040052417953e-40, 1.8086439721042402e-40, 3.0220001779313616e-40, 5.036100582731744e-40, 8.370636711812617e-40, 1.3876899136264945e-39, 2.294045504829052e-39, 3.783496092977343e-39, 6.224022743812774e-39, 1.0212714965202159e-38, 1.671509778291383e-38, 2.728850772225506e-38, 4.443848697330123e-38, 7.218596760181485e-38, 1.169676447198008e-37, 1.8906168658404864e-37, 3.0483966803187215e-37, 4.9031471143144745e-37, 7.867181251676059e-37, 1.2592427106312875e-36, 2.0107174002598534e-36, 3.202942523974434e-36, 5.089896655838746e-36, 8.06929623636675e-36, 1.2762459287221332e-35, 2.0137715911460255e-35, 3.1700657414129915e-35, 4.978673085001672e-35, 7.801017859510717e-35, 1.2195125340843307e-34, 1.9020572602599165e-34, 2.9598397042416944e-34, 4.5954180025446255e-34, 7.118672118886497e-34, 1.1002591476475259e-33, 1.696750088580641e-33, 2.610793417116854e-33, 4.008332043797143e-33, 6.140393717232169e-33, 9.385877086060564e-33, 1.4315429021567044e-32, 2.1786599859350473e-32, 3.3085281061418503e-32, 5.013547766881959e-32, 7.580975535896668e-32, 1.1438768518221712e-31, 1.722313840906301e-31, 2.5877882630080487e-31, 3.8800129291082204e-31, 5.805373030561814e-31, 8.668104300185536e-31, 1.2915750804119819e-30, 1.9206063536823684e-30, 2.8500350591507053e-30, 4.220626477569608e-30, 6.2376774674755144e-30, 9.200100498233242e-30, 1.3542231968745164e-29, 1.9893916227830695e-29, 2.916667997577001e-29, 4.2677078211822024e-29, 6.232289309653399e-29, 9.08343325342895e-29, 1.3213144402770242e-28, 1.9183165425974552e-28, 2.779690805709917e-28, 4.0201198963524484e-28, 5.802991910041117e-28, 8.360639467699975e-28, 1.2022802274012317e-27, 1.72565779625613e-27, 2.4722391580802135e-27, 3.535225814244985e-27, 5.045901166234274e-27, 7.188846764099002e-27, 1.0223099910502566e-26, 1.4511517899895764e-26, 2.0561456838564132e-26, 2.9081021213941306e-26, 4.105670205382484e-26, 5.78603415889869e-26, 8.139623518061242e-26, 1.1430306706337018e-25, 1.602306227711374e-25, 2.242182914805069e-25, 3.1321188293455563e-25, 4.367680559133219e-25, 6.080127757142344e-25, 8.44943126295274e-25, 1.1721924009521039e-24, 1.6234191931439145e-24, 2.2445355109048857e-24, 3.0980610879866954e-24, 4.268986762297366e-24, 5.872656503395367e-24, 8.065345158284058e-24, 1.1058429991714528e-23, 1.5137345228743777e-23, 2.0686750897367563e-23, 2.822478551179785e-23, 3.8447256163408864e-23, 5.228774212541439e-23, 7.099663184475573e-23, 9.624593343579752e-23, 1.3026785634194731e-22, 1.760377506320716e-22, 2.375152151542517e-22, 3.199613637575232e-22, 4.303556430347661e-22, 5.779425741988318e-22, 7.749477903082365e-22, 1.0375143239485814e-21, 1.3869249887378311e-21, 1.8511958030332517e-21, 2.467149881731292e-21, 3.2831125338051395e-21, 4.3624082949990844e-21, 5.7878916239406446e-21, 7.667807925023305e-21, 1.0143364114104747e-20, 1.3398492732799863e-20, 1.7672426431521063e-20, 2.3275867720364597e-20, 3.06117512732287e-20, 4.020186404146888e-20, 5.272092603136186e-20, 6.90401592837791e-20, 9.028290603889941e-20, 1.1789552614004923e-19, 1.5373764168129883e-19, 2.001968448288421e-19, 2.603342933584579e-19, 3.3806925023800247e-19, 4.384126554274973e-19, 5.677623444255805e-19, 7.3427566483599e-19, 9.48339131307647e-19, 1.2231595742485299e-18, 1.5755071908087439e-18, 2.0266482564470836e-18, 2.6035143169928638e-18, 3.340165837662516e-18, 4.279622002352829e-18, 5.47614519808104e-18, 6.998097563291603e-18, 8.931457084492104e-18, 1.1384271202445863e-17, 1.4492106876645005e-17, 1.842485039104198e-17, 2.339512200250106e-17, 2.9668685348408775e-17, 3.757730790053661e-17, 4.753462923225278e-17, 6.005571559052154e-17, 7.578112653149869e-17, 9.5506497316835e-17, 1.2021885548589007e-16, 1.5114114878470773e-16, 1.897867730808479e-16, 2.380262632698618e-16, 2.981687596257314e-16, 3.7306140093201543e-16, 4.662104410345232e-16, 5.819286572238746e-16, 7.255145407148573e-16, 9.034698592556327e-16, 1.1237634922783239e-15, 1.396150998397004e-15, 1.7325612285066475e-15, 2.1475634979871842e-15, 2.658931440272938e-15, 3.2883227533959685e-15, 4.0620977051620595e-15, 5.012303579383721e-15, 6.177857339149915e-15, 7.605964786061946e-15, 9.353821560647622e-15, 1.1490649637287721e-14, 1.4100132723662953e-14, 1.7283325419062083e-14, 2.116212439408739e-14, 2.5883405545071765e-14, 3.1623949417133855e-14, 3.859629860298506e-14, 4.7055715796348355e-14, 5.730844026711285e-14, 6.972147437011668e-14, 8.473417103365035e-14, 1.0287193883609357e-13, 1.2476243422770574e-13, 1.5115464132841176e-13, 1.829415177627998e-13, 2.2118636292073894e-13, 2.671541396518803e-13, 3.223481348714086e-13, 3.885530287912503e-13, 4.678854055054442e-13, 5.628529292698614e-13, 6.764236017103637e-13, 8.121067341174651e-13, 9.74047519783546e-13, 1.167137378342995e-12, 1.3971425721600845e-12, 1.6708539694536516e-12, 1.9962612562040385e-12, 2.3827553858543884e-12, 2.8413636101263834e-12, 3.3850220645642656e-12, 4.02889159836784e-12, 4.7907233504634775e-12, 5.691281494621998e-12, 6.754831619164048e-12, 8.00970438630421e-12, 9.48894544904318e-12, 1.1231064108104203e-11, 1.328089488812527e-11, 1.56905881237267e-11, 1.8520747797163963e-11, 2.1841737287643273e-11, 2.5735176408472757e-11, 3.029565615565261e-11, 3.5632701007222326e-11, 4.187301243738363e-11, 4.916303158779117e-11, 5.767186381948273e-11, 6.759461320651133e-11, 7.915618098526295e-11, 9.261558860616076e-11, 1.0827089341723711e-10, 1.2646477321875417e-10, 1.4759086504826664e-10, 1.7210095367740582e-10, 2.0051311652430016e-10, 2.334209441164892e-10, 2.7150396899529407e-10, 3.1553945116039534e-10, 3.664156849497723e-10, 4.251470254054014e-10, 4.928907524453357e-10, 5.709662078718559e-10, 6.608761846199333e-10, 7.64331045713196e-10, 8.83275803233402e-10, 1.0199205109908339e-09, 1.1767743478106843e-09, 1.356683807695284e-09, 1.5628754561646997e-09, 1.7990037591225124e-09, 2.0692045419620176e-09, 2.37815469266575e-09, 2.7311387837262804e-09, 3.1341233542165823e-09, 3.5938396656807557e-09, 4.117875824137579e-09, 4.7147792458582516e-09, 5.394170537183867e-09, 6.166869959012597e-09, 7.04503775525502e-09, 8.042329742106745e-09, 9.174069682035408e-09, 1.0457440103543338e-08, 1.1911693375747912e-08, 1.3558385006283405e-08, 1.542163130273686e-08, 1.7528393722531313e-08, 1.9908792434668003e-08, 2.2596451829869476e-08, 2.5628880944280365e-08, 2.9047892006899502e-08, 3.2900060583227913e-08, 3.7237231068236096e-08, 4.2117071581604716e-08, 4.7603682638364626e-08, 5.376826430954428e-08, 6.06898469513485e-08, 6.845609096880908e-08, 7.716416149192744e-08, 8.692168428016506e-08, 9.784778963598285e-08, 1.1007425160106783e-07, 1.237467302311909e-07, 1.3902612529851023e-07, 1.560900503547017e-07, 1.7513443566950765e-07, 1.963752763498514e-07, 2.2005052155247224e-07, 2.464221360166855e-07, 2.7577833184011706e-07, 3.0843598935568553e-07, 3.4474328019528306e-07, 3.850825074387596e-07, 4.2987317867083226e-07, 4.795753287360098e-07, 5.346931099929447e-07, 5.957786689265425e-07, 6.634363290786827e-07, 7.383271014075809e-07, 8.21173544382221e-07, 9.127649973631419e-07, 1.0139632121129105e-06, 1.1257084086216793e-06, 1.2490257828225124e-06, 1.3850324952107065e-06, 1.5349451708693157e-06, 1.7000879429387697e-06, 1.8819010731534041e-06, 2.0819501846995834e-06, 2.3019361443292758e-06, 2.5437056323866866e-06, 2.8092624411751926e-06, 3.1007795439043077e-06, 3.420611978309813e-06, 3.7713105909338385e-06, 4.155636689982417e-06, 4.576577656644019e-06, 5.03736356675204e-06, 5.541484876700586e-06, 6.092711229577742e-06, 6.695111439557477e-06, 7.353074714687207e-06, 8.071333180318558e-06, 8.85498576754802e-06, 9.709523533162292e-06, 1.06408564797094e-05, 1.1655341946437628e-05, 1.2759814643953647e-05, 1.3961618407549736e-05, 1.5268639746212528e-05, 1.6689343266377903e-05, 1.8232809070055314e-05, 1.9908772100481182e-05, 2.172766379113935e-05, 2.3700655748554266e-05, 2.5839705821155165e-05, 2.815760654033605e-05, 3.066803604270712e-05, 3.3385611566933976e-05, 3.6325945619956276e-05, 3.950570490869366e-05, 4.294267213451347e-05, 4.665581074879042e-05, 5.066533276876774e-05, 5.499276975368057e-05, 5.966104704169469e-05, 6.469456134858575e-05, 7.011926182931727e-05, 7.596273470369354e-05, 8.225429154705838e-05, 8.902506134660748e-05, 9.63080864232549e-05, 0.00010413842231804631, 0.00011255324174109411, 0.0001215919426794871, 0.0001312962607590352, 0.0001417103859527177, 0.00015288108372651352, 0.00016485782071066644, 0.00017769289498164068, 0.0001914415710367963, 0.0002061622195403806, 0.00022191646191549694, 0.00023876931985257742, 0.0002567893698003462, 0.00027604890250032316, 0.0002966240876207492, 0.0003185951435400605, 0.0003420465123241267, 0.0003670670399351079, 0.0003937501617029361, 0.00042219409308338115, 0.0004525020257191206, 0.000484782328812286, 0.0005191487558088079, 0.0005557206563860629, 0.0005946231937262901, 0.000635987566937683, 0.0006799512392482783, 0.0007266581702876236, 0.0007762590545616538, 0.0008289115644466839, 0.0008847805982591839, 0.0009440385332059087, 0.001006865483111218, 0.0010734495608075792, 0.001143987145061477, 0.0012186831518954029, 0.0012977513101525763, 0.0013814144411393643, 0.0014699047421650594, 0.001563464073786935, 0.0016623442505531274, 0.0017668073350234994, 0.0018771259348329074, 0.00199358350254863, 0.0021164746380583563, 0.002246105393211541, 0.0023827935784219625, 0.00252686907092555, 0.0026786741243721534, 0.0028385636794178845, 0.0030069056749670213, 0.0031840813597020607, 0.003370485603523291, 0.0035665272085083767, 0.003772629218986511, 0.003989229230310008, 0.004216779695891879, 0.0044557482320668, 0.004706617920319334, 0.004969887606411045, 0.005246072195927091, 0.005535702945753658, 0.005839327750981904, 0.006157511426729967, 0.006490835984360278, 0.006839900901563606, 0.007205323385771784, 0.007587738630350391, 0.007987800063022965, 0.008406179585963897, 0.008843567806996534, 0.009300674261607491, 0.009778227623532025, 0.010276975907479564, 0.010797686657935535, 0.01134114712753858, 0.011908164442834787, 0.012499565757095188, 0.013116198389616543, 0.013758929950926391, 0.014428648453321445, 0.015126262406167911, 0.01585270089539927, 0.016608913646653085, 0.01739587107149563, 0.01821456429619284, 0.019066005172493867, 0.01995122626990233, 0.02087128084892631, 0.021827242814807583, 0.02282020665124734, 0.023851287333648698, 0.02492162022143216, 0.02603236092898142, 0.027184685174794408, 0.028379788608447042, 0.02961888661497462, 0.03090321409632685, 0.03223402522953683, 0.03361259320130455, 0.03504020991868563, 0.03651818569563174, 0.03804784891512435, 0.03963054566669292, 0.04126763935911517, 0.04296051030816129, 0.044710555299205534, 0.046519187124645214, 0.04838783409601056, 0.05031793953074393, 0.052310961213631865, 0.054368370832885864, 0.05649165339094093, 0.058682306590052434, 0.060941840192781024, 0.06327177535753627, 0.06567364394935209, 0.06814898782574029, 0.0706993581000051, 0.073326314377008, 0.07603142396871752, 0.07881626108463857, 0.08168240599961579, 0.08463144419905802, 0.08766496550204501, 0.0907845631627882, 0.09399183295098934, 0.0972883722116027, 0.10067577890463354, 0.10415565062552895, 0.10772958360687672, 0.11139917170201635, 0.1151660053513297, 0.11903167053190315, 0.12299774769136478, 0.1270658106666726, 0.1312374255886528, 0.135514149773207, 0.13989753059998666, 0.14438910437948307, 0.14899039520943508, 0.15370291382152262, 0.158528156419291, 0.16346760350831438, 0.1685227187196089, 0.17369494762730284, 0.17898571656163714, 0.1843964314183422, 0.18992847646547265, 0.19558321314879315, 0.20136197889679705, 0.2072660859265075, 0.21329682005115352, 0.21945543949086088, 0.22574317368751834, 0.23216122212487791, 0.23871075315518228, 0.24539290283329748, 0.25220877375965467, 0.25915943393301744, 0.2662459156143255, 0.2734692142026916, 0.2808302871247123, 0.2883300527382492, 0.2959693892519643, 0.30374913366028866, 0.311670080698822, 0.3197329818158487, 0.3279385441652601, 0.33628742962014857, 0.34478025380843547, 0.35341758517162325, 0.36219994404758704, 0.3711278017785018, 0.3802015798447243, 0.38942164902571463, 0.39878832858881014, 0.40830188550683116, 0.41796253370528214, 0.4277704333401044, 0.4377256901066916, 0.44782835458094694, 0.45807842159325096, 0.46847582963593226, 0.47902046030492346, 0.48971213777637085, 0.5005506283186874, 0.5115356398406996, 0.5226668214763953, 0.533943763206865, 0.5453659955198124, 0.5569329891070525, 0.5686441546005201, 0.5804988423471388, 0.5924963422225967, 0.6046358834847698, 0.6169166346666383, 0.6293377035090889, 0.6418981369337664, 0.6545969210560214, 0.6674329812380162, 0.6804051821823042, 0.6935123280654186, 0.7067531627118804, 0.7201263698082819, 0.733630573157441, 0.7472643369724385, 0.7610261662104159, 0.7749145069455574, 0.7889277467817514, 0.8030642153037283, 0.8173221845673246, 0.8316998696268502, 0.8461954291013241, 0.8608069657775421, 0.8755325272498855, 0.8903701065966589, 0.9053176430919827, 0.9203730229530548, 0.9355340801217257, 0.9507985970803201, 0.9661643057002327, 0.9816288881235253, 0.9971899776759985, 1.0128451598114208, 1.0285919730860125, 1.0444279101622973, 1.0603504188417077, 1.0763569031246938, 1.0924447242980835, 1.1086112020479255, 1.1248536155979187, 1.1411692048715165, 1.1575551716773644, 1.1740086809172137, 1.1905268618144496, 1.2071068091634085, 1.22374558459753, 1.2404402178759892, 1.2571877081872607, 1.2739850254688074, 1.2908291117420068, 1.3077168824610008, 1.3246452278744218, 1.3416110143991098, 1.3586110860047385, 1.3756422656079974, 1.3927013564756396, 1.40978514363499, 1.4268903952913141, 1.4440138642503009, 1.4611522893453193, 1.4783023968676976, 1.4954609019985388, 1.5126245102465827, 1.5297899188786401, 1.5469538183546683, 1.5641128937594586, 1.5812638262317613, 1.5984032943896036, 1.6155279757506888, 1.6326345481472861, 1.6497196911343692, 1.6667800873900587, 1.6838124241075663, 1.7008133943779282, 1.7177796985620166, 1.7347080456515356, 1.751595154618258, 1.7684377557497462, 1.7852325919721252, 1.8019764201576849, 1.8186660124178005, 1.8352981573793559, 1.8518696614448924, 1.8683773500350334, 1.884818068812761, 1.9011886848892585, 1.9174860880097648, 1.9337071917201003, 1.9498489345118892, 1.9659082809471176, 1.9818822227606936, 1.997767779940795, 2.0135620017866764, 2.0292619679430155, 2.0448647894106236, 2.060367609533516, 2.0757676049608134, 2.091061986584513, 2.106248000451833, 2.1213229286517348, 2.136284090176154, 2.151128841755036, 2.165854578665028, 2.1804587355114875, 2.1949387869841877, 2.209292248585656, 2.2235166773329667, 2.2376096724419496, 2.2515688759459613, 2.2653919733407353, 2.2790766941714713, 2.2926208125964025, 2.306022147923945, 2.3192785651227767, 2.332387975304371, 2.345348336178335, 2.3581576524799375, 2.3708139763709273, 2.383315407813036, 2.395660094914349, 2.407846234249189, 2.41987207115082, 2.431735899978017, 2.4434360643553914, 2.4549709573869856, 2.466339021844899, 2.4775387503315627, 2.4885686854168623, 2.4994274197504573, 2.5101135961488157, 2.520625907657836, 2.5309630975918016, 2.54112395954778, 2.5511073373965516, 2.560912125251073, 2.5705372674111406, 2.5799817582862743, 2.5892446422961464, 2.598325013749526, 2.6072220167020017, 2.615934844792452, 2.6244627410593018, 2.632804997736783, 2.640960956031429, 2.648930005879212, 2.656711585684227, 2.664305182038947, 2.671710329426546, 2.6789266099056444, 2.6859536527784362, 2.6927911342421007, 2.6994387770241945, 2.705896350002174, 2.712163667751461, 2.718240590280132, 2.7241270225116354, 2.729822913826629, 2.7353282576367897, 2.740643090921802, 2.745767493752398, 2.750701588802485, 2.755445540849687, 2.7599995562646398, 2.7643638824905428, 2.768538807511524, 2.772524659312961, 2.776321805331402, 2.7799306518966556, 2.7833516436651684, 2.7865852630459975, 2.78963202961936, 2.7924924995482323, 2.795167264983596, 2.7976569534636355, 2.7999622273072, 2.8020837830025207, 2.8040223505904116, 2.8057786930437763, 2.8073536056429305, 2.808747915347093, 2.8099624801630485, 2.8109981885108897, 2.8118559585870586, 2.8125367377257473, 2.813041501758295, 2.8133712543712814, 2.8135270264638237, 2.8135098755037413, 2.8133208848838893, 2.8129611632782754, 2.812431843998468, 2.8117340843506304, 2.810869064993545, 2.809837989297756, 2.808642082706539, 2.8072825920982707, 2.8057607851509765, 2.80407794970971, 2.8022353931556263, 2.8002344420393768, 2.7980764409124825, 2.7957627517742165, 2.7932947539080186, 2.7906738430293916, 2.7879014306762344, 2.7849789436033814, 2.7819078231814722, 2.7786895248008543, 2.775325517279503, 2.771817282276918, 2.768166313712499, 2.7643741171892393, 2.7604422094237138, 2.7563721176804368, 2.7521653792131553, 2.7478235407116336, 2.743348157754155, 2.7387407942670134, 2.7340030219895106, 2.729136419945893, 2.724142573923656, 2.719023075958514, 2.7137795238260125, 2.708413520539949, 2.702926673857986, 2.69732059579381, 2.691596902136817, 2.6857572119783173, 2.6798031472454613, 2.6737363322422225, 2.667558393197529, 2.6612709578208933, 2.6548756548652825, 2.6483741136976047, 2.641767963876157, 2.6350588347362556, 2.628248354982756, 2.6213381522901003, 2.6143298529102847, 2.607225081288068, 2.600025459683586, 2.592732607802559, 2.5853481424344413, 2.577873677097352, 2.5703108216909456, 2.5626611812108644, 2.554926356551419, 2.5471079464677704, 2.5392075430633345, 2.531226733199262, 2.5231670981909993, 2.5150302135135254, 2.506817648513104, 2.4985309661262556, 2.4901717226064926, 2.4817414672576175, 2.4732417421745656, 2.46467408199077, 2.456040013633211, 2.4473410560840216, 2.438578720148627, 2.4297545082318766, 2.420869914119487, 2.411926422767401, 2.402925510096959, 2.393868642797311, 2.3847572781338684, 2.37559286376334, 2.366376837555375, 2.3571106274201177, 2.3477956511423446, 2.338433316221489, 2.3290250197180145, 2.3195721481055553, 2.3100760771290862, 2.3005381716692326, 2.2909597856116486, 2.281342261722886, 2.271686931531546, 2.2619951152145994, 2.2522681214900104, 2.242507247513966, 2.2327137787835385, 2.2228889890452654, 2.2130341402078444, 2.203150482260464, 2.1932392531961273, 2.1833016789395394, 2.1733389732801944, 2.1633523378097106, 2.153342961864363, 2.143312024921455, 2.1332606996446573, 2.1231901277368985, 2.113101449024257, 2.1029957908552004, 2.0928742680689054, 2.0827379829675365, 2.072588025292834, 2.062425472206175, 2.052251388272693, 2.04206682544913, 2.0318728230753393, 2.0216704078693093, 2.0114605939256522, 2.0012443827176956, 1.9910227631026591, 1.9807967113304394, 1.970567191055213, 1.960335153350411, 1.950101536726572, 1.9398672671523798, 1.9296332580782565, 1.919400410463107, 1.909169612803611, 1.898941741166357, 1.8887176592221961, 1.8784982182837764, 1.8682842573446934, 1.8580766031219376, 1.8478760701000636, 1.8376834605776717, 1.8274995647163599, 1.8173251605915675, 1.8071610142455359, 1.7970078797423716, 1.7868664992248742, 1.7767376029733228, 1.7666219094661106, 1.7565201254420706, 1.7464329459645842, 1.7363610544871508, 1.726305122920713, 1.7162658117024259, 1.706243769865855, 1.696239635112616, 1.6862540338855025, 1.6762875801295392, 1.666340821875664, 1.6564144103716392, 1.6465089277774656, 1.6366249453776864, 1.6267630236612232, 1.6169237124024964, 1.6071075507435924, 1.597315067276861, 1.5875467801288141, 1.577803197044667, 1.5680848154736375, 1.558392122655173, 1.5487255957053263, 1.5390857017046087, 1.5294728977856726, 1.5198876312219078, 1.5103303395166165, 1.5008014504925207, 1.4913013823818806, 1.4818305439167525, 1.4723893344199777, 1.4629781438961655, 1.4535973531233466, 1.4442473337445763, 1.4349284483599811, 1.425641050618863, 1.4163854853122704, 1.4071620884652043, 1.397971187429653, 1.3888131009769191, 1.3796881393907634, 1.3705966045599853, 1.3615387900714409, 1.3525149813027306, 1.3435254555150542, 1.3345704819458784, 1.3256503219016396, 1.3167652288501182, 1.3079154485129456, 1.299101218957621, 1.2903227706897704, 1.281580326744782, 1.2728741027794264, 1.264204307163288, 1.2555711410698482, 1.2469747985671777, 1.238415684422615, 1.2298937945805317, 1.2214092653244555, 1.2129622632261268, 1.204552948201391, 1.1961814735987855, 1.1878479862880527, 1.179552626747947, 1.1712955291538574, 1.1630768214649203, 1.15489662551055, 1.146755057076707, 1.1386522259915692, 1.130588236210734, 1.1225631859019607, 1.1145771675294132, 1.1066302679372881, 1.0987225684330773, 1.0908541448700713, 1.0830250677295623, 1.0752354022023318, 1.0674852082696575, 1.0597745407836385, 1.0521034495470742, 1.0444719793927528, 1.0368801702619992, 1.0293280572828118, 1.0218156708472896, 1.0143430366884376, 1.0069101759564858, 0.9995171052943752, 0.9921638369128756, 0.984850378664868, 0.9775767341190718, 0.9703429026332174, 0.9631488794263677, 0.9559946556508336, 0.9488802184633092, 0.941805551095446, 0.9347706329235732, 0.9277754395380987, 0.9208199428119132, 0.9139041109684737, 0.9070279086488615, 0.9001912969784696, 0.8933942336330302, 0.8866359414861219, 0.8799167859770439, 0.8732370477381282, 0.8665966711507586, 0.8599955974665773, 0.8534337648695508, 0.8469111085371754, 0.8404275607012763, 0.8339830507078879, 0.8275775050766994, 0.8212108475596469, 0.8148829991990838, 0.8085938783850354, 0.8023434009119738, 0.796131480034873, 0.7899580265247186, 0.7838229487231378, 0.7777261525966545, 0.771667541790104, 0.7656470176795802, 0.7596644794245047, 0.7537198240192993, 0.7478129463443199, 0.7419437392160979, 0.7361120934371026, 0.7303178978447703, 0.724561039359894, 0.7188414030345602, 0.7131588720991968, 0.7075133280092621, 0.7019046504912335, 0.6963327175879478, 0.6907974057033807, 0.6852985896468462, 0.6798361426765553, 0.6744099365426706, 0.6690198415296393, 0.6636657264980625, 0.6583474589259567, 0.6530649049493976, 0.6478179294026153, 0.6426063958576332, 0.6374301666630898, 0.6322891029827483, 0.6271830648334226, 0.622111911122134, 0.6170777483771083, 0.6120801906482319, 0.6071170185865752, 0.6021880877400358, 0.5972932527211995, 0.592432367241475, 0.5876052841446314, 0.5828118554398652, 0.5780519323343317, 0.5733253652651896, 0.5686320039311624, 0.5639716973235546, 0.5593442937568216, 0.5547496408986748, 0.550187585799607, 0.5456579749220606, 0.5411606541690369, 0.5366954689123341, 0.532262264020161, 0.5278608838844921, 0.5234911724477949, 0.5191529732294595, 0.5148461293516294, 0.5105704835647319, 0.5063258782724611, 0.5021121555564536, 0.4979291572004085, 0.4937767247138764, 0.4896546993555435, 0.4855629221562732, 0.4815012339415216, 0.47746947535350487, 0.4734674868729021, 0.469495108840194, 0.46555218147659483, 0.4616385449045863, 0.45775403916812596, 0.4538985042523893, 0.45007178010321675, 0.44627370664619675, 0.4425041238052675, 0.43876287152116067, 0.43504978976928277, 0.4313647185773948, 0.4277074980428653, 0.42407796834962636, 0.42046989171150656, 0.4168783541527106, 0.4133143176243787, 0.4097776195020934, 0.40626809735384867, 0.4027855889549678, 0.39932993230278097, 0.3959009656308927, 0.3924985274231348, 0.38912245642733384, 0.3857725916686758, 0.382448772462773, 0.3791508384284941, 0.3758786295004705, 0.37263198594133157, 0.3694107483536598, 0.36621475769164374, 0.36304385527249644, 0.3598978827875622, 0.3567766823132183, 0.3536800963214584, 0.35060796769022873, 0.3475601397135466, 0.34453645611131145, 0.34153676103894937, 0.3385608990966834, 0.33560871533874437, 0.3326800552821598, 0.3297747649154421, 0.32689269070699234, 0.3240336796132837, 0.3211975790868414, 0.31838423708396874, 0.3155935020722726, 0.31282522303800275, 0.3100792494931511, 0.3073554314823204, 0.30465361958950415, 0.30197366494447103, 0.2993154192291684, 0.2966787346837739, 0.294063464112634, 0.2914694608899623, 0.28889657896544135, 0.28634467286953613, 0.2838135977186838, 0.28131578690978915, 0.2788919602489732, 0.27648737847679894, 0.2741019131001519, 0.2717354361073691, 0.26938781997300154, 0.2670589376624748, 0.2647486626366628, 0.2624568688562032, 0.26018343078577083, 0.2579282233981195, 0.25569112217803786, 0.25347200312616563, 0.251270742762635, 0.2490872181306288, 0.2469213067997472, 0.24477288686930812, 0.24264183697146824, 0.2405280362742536, 0.2384313644844363, 0.23635170185031765, 0.234288929164377, 0.23224292776581604, 0.23021357954294608, 0.22820076693554286, 0.22620437293699255, 0.2242242810964133, 0.2222603755206131, 0.22031254087597751, 0.21838066239022322, 0.21646462585407825, 0.21456431762283326, 0.21267962461783835, 0.2108104343278439, 0.20895663481029997, 0.20711811469253774, 0.20529476317285328, 0.2034864700215315, 0.20169312558173655, 0.19991462077038696, 0.19815084707883843, 0.19640169657360831, 0.1946670618969302, 0.19294683626724515, 0.19124091347965735, 0.1895491879062531, 0.1878420573812091, 0.18484271504461391, 0.18189042838639743, 0.17898447725166244, 0.1761241521143171, 0.17330875392880535, 0.17053759398367768, 0.16780999375706818, 0.16512528477395885, 0.16248280846530147, 0.1598819160289424, 0.1573219682922974, 0.15480233557681972, 0.15232239756419638, 0.14988154316429117, 0.14747917038476524, 0.14511468620239032, 0.14278750643607185, 0.14049705562147716, 0.13824276688730203, 0.13602408183319306, 0.13384045040922338, 0.1316913307969694, 0.12957618929213346, 0.12749450018874572, 0.1254457456648543, 0.12342941566974815, 0.12144500781266723, 0.11949202725298302, 0.11756998659185046, 0.1156784057652883, 0.11381681193869475, 0.11198473940276249, 0.11018172947080851, 0.10840733037744191, 0.10666109717863229, 0.10494259165309594, 0.1032513822050164, 0.10158704376809351, 0.0999491577108599, 0.09833731174330484, 0.09675109982475595, 0.09519012207300773, 0.09365398467468955, 0.09214229979686016, 0.09065468549979992, 0.08919076565099715, 0.08772958109729945, 0.08628859371544197, 0.08487097287192844, 0.08347634628919635, 0.08210434747519037, 0.0807546156366639, 0.07942679559371914, 0.07812053769554414, 0.076835497737357, 0.07557133687852155, 0.07432772156183735, 0.07310432343397566, 0.07190081926705247, 0.07071689088131701, 0.06955222506895307, 0.06840651351897196, 0.06727945274316684, 0.06617074400316732, 0.06508009323848914, 0.06400721099566958, 0.06295181235840115, 0.061913616878663584, 0.060892348508875906, 0.05988773553501316, 0.05889951051068652, 0.05792741019219667, 0.056971175474519443, 0.056030551328214676, 0.05510528673726735, 0.054195134637823834, 0.05329985185782259, 0.0524191990575109, 0.05155294067081766, 0.050700844847600735, 0.049862683396728544, 0.04903823172999417, 0.04822726880686261, 0.047429577080016785, 0.04664494244171347, 0.04587315417092263, 0.04511400488125229, 0.04436729046962836, 0.04363281006574519, 0.042910365982258336, 0.04219976366570832, 0.04150081164817938, 0.04081464539369628, 0.04014030128333781, 0.03947698886600091, 0.03882453007955617, 0.03818274968315155, 0.03755147521367541, 0.036930536942862406, 0.036319767835040505, 0.035719003505500946, 0.035128082179494216, 0.03454684465182932, 0.03397513424708493, 0.03341279678040289, 0.0328596805188756, 0.03231563614350703, 0.03178051671174538, 0.03125417762056907, 0.030736476570139108, 0.0302272735279817, 0.029726430693721495, 0.029233812464331876, 0.02874928539992278, 0.028272718190026892, 0.027803981620406162, 0.027342948540350517, 0.026889493830476046, 0.02644349437100288, 0.026004829010517767, 0.02557337853520429, 0.02514902563854306, 0.024731654891464925, 0.024321152712963017, 0.02391740734114313, 0.023520308804720638, 0.023129748894943975, 0.022745621137949302, 0.022367820767531986, 0.021996244698333917, 0.021630791499441276, 0.021271361368380672, 0.020917856105512837, 0.020570179088819807, 0.02022823524907478, 0.019891931045389843, 0.01956117444114221, 0.01923587488026298, 0.01891586121352192, 0.018601056553529335, 0.018291451045993966, 0.017986959700011178, 0.01768749889480191, 0.017392986358051244, 0.0171033411445764, 0.016818483615323558, 0.01653833541668766, 0.016262819460152313, 0.015991859902242778, 0.01572538212478844, 0.015463312715489053, 0.015205579448782827, 0.014952111267007774, 0.014702838261858671, 0.014457691656126245, 0.014216603785721803, 0.013979508081979423, 0.013746339054233465, 0.013517032272665132, 0.013291524351415878, 0.01306975293196349, 0.012851656666754516, 0.012637175203094384, 0.01242624916728588, 0.012218820149012724, 0.0120148306859727, 0.011814224248741867, 0.011616945225881513, 0.011422938909273804, 0.011232151479687945, 0.011044529992569751, 0.010860022364056058, 0.010678577357204878, 0.010500144568443833, 0.010324674414226997, 0.01015211811790502, 0.009982427696795708, 0.009815555949462474, 0.009651456443189283, 0.00949008350165155, 0.009331392192782572, 0.009175338316829738, 0.00902187839459712, 0.008870969655874692, 0.008722574318182292, 0.008576654230583795, 0.008433160760187294, 0.008292053870512107, 0.0081532941786615, 0.008016842944807773, 0.007882662061839917, 0.007750714045178225, 0.007620962022747241, 0.007493369725107306, 0.007367901475743983, 0.007244522181507422, 0.00712319732320644, 0.0070038929463493915, 0.006886575652031678, 0.006771212587968204, 0.006657771439667264, 0.006546220421744744, 0.006436528269375843, 0.0063286642298821, 0.0062225980544518495, 0.006118299989993754, 0.006015740771116191, 0.005914891612237814, 0.005815724199821182, 0.005718210684730529, 0.005622323674711252, 0.0055280362269889945, 0.005435321840985851, 0.005344154451153755, 0.005254508419921276, 0.0051663585307526695, 0.005079679981318228, 0.0049944483767728936, 0.004910639723142692, 0.004828230420816493, 0.004747197258141193, 0.004667517405120197, 0.004589168407211813, 0.004512128179227098, 0.004436374999325386, 0.0043618875031050846, 0.00428864467779059, 0.0042166258565104675, 0.004145810712668816, 0.004076179254405652, 0.004007711819146644, 0.003940389068240226, 0.0038741919816806516, 0.0038091018529154102, 0.0037451002837364904, 0.0036821691792532072, 0.003620290742946055, 0.0035594474718001244, 0.0034996221515159113, 0.0034407978517985234, 0.0033829579217212087, 0.003326085985164312, 0.0032701659363279048, 0.003215181935315121, 0.0031611184037888982, 0.003107960020696316, 0.0030556917180637774, 0.003004298676858718, 0.002953766322918511, 0.0029040803229452594, 0.0028552265805646118, 0.002807191232448417, 0.0027599606445004947, 0.0027135214081033107, 0.002667860336425258, 0.0026229644607885347, 0.002578821027094404, 0.0025354174923072044, 0.0024927415209951872, 0.0024507809819266056, 0.002409523944721597, 0.0023689586765580314, 0.0023290736389306407, 0.0022898574844625944, 0.0022512990537689632, 0.0022133873723707864, 0.0021761116476592345, 0.0021394612659090192, 0.002103425789340327, 0.0020679949532281714, 0.0020331586630589218, 0.001998906991732876, 0.0019652301768121987, 0.001932118617813705, 0.0018995628735454756, 0.0018675536594869476, 0.001836081845211303, 0.0018051384518499925, 0.0017747146495985524, 0.0017448017552628076, 0.0017153912298449097, 0.0016864746761691986, 0.0016580438365460235, 0.0016300905904741451, 0.001602606952380182, 0.0015755850693953803, 0.0015490172191678394, 0.0015228958077113262, 0.001497213367288362, 0.00147196255432839, 0.0014471361473796709, 0.001422727045094413, 0.0013987282642473414, 0.0013751329377859173, 0.0013519343129130797, 0.0013291257492006458, 0.0013067007167341898, 0.00128465279428758, 0.0012629756675279994, 0.0012416631272497236, 0.0012207090676371953, 0.0012001074845563217, 0.0011798524738738235, 0.0011599382298039353, 0.0011403590432823019, 0.0011211093003664777, 0.0011021834806626456, 0.0010835761557778587, 0.0010652819877980848, 0.001047295727790772, 0.0010296122143322018, 0.0010122263720587586, 0.000995133210242348, 0.000978327821388706, 0.0009618053798590404, 0.0009455611405141511, 0.000929590437380746, 0.0009138886823398755, 0.0008984513638365304, 0.0008832740456108892, 0.0008683523654499241, 0.000853682033959978, 0.0008392588333590475, 0.0008250786162893558, 0.0008111373046490766, 0.000797430888443543, 0.0007839554246551455, 0.0007707070361319302, 0.0007576819104944414, 0.0007448762990605968, 0.0007322865157881718, 0.0007199089362347427, 0.0007077399965347852, 0.0006957761923935356, 0.0006840140780974949, 0.0006724502655411701, 0.0006610814232699109, 0.0006499042755385238, 0.0006389156013852886, 0.0006281122337214099, 0.0006174910584352732, 0.0006070490135118024, 0.0005967830881658794, 0.0005866903219905169, 0.0005767678041187652, 0.0005670126723996207, 0.0005574221125874995, 0.0005479933575450325, 0.0005387236864590741, 0.0005296104240696702, 0.000520650939911754, 0.0005118426475693304, 0.0005031830039420295, 0.000494669508523763, 0.0004862997026932978, 0.00047807116901655834, 0.0004699815305604946, 0.0004620284502182535, 0.00045420963004553393, 0.0004465228106078928, 0.00043896577033896014, 0.0004315363249090594, 0.0004242323266045278, 0.00041705166371711197, 0.00040999225994359126, 0.0004030520737952743, 0.00039622909801732554, 0.000389521359017683, 0.00038292691630541345, 0.00037644386193845866, 0.0003700703199804124, 0.0003638044459664161, 0.00035764442637780536, 0.00035158847812556774, 0.0003456348480422916, 0.00033978181238254946, 0.00033402767633162745, 0.00032837077352230483, 0.0003228094655597575, 0.00031734214155424323, 0.00031196721766165017, 0.00030668313663157344, 0.00030148836736294896, 0.00029638140446706674, 0.0002913607678377839, 0.00028642500222896846, 0.0002815726768388993, 0.00027680238490156395, 0.00027211274328477355, 0.000267502392094964, 0.00026296999428853713, 0.00025851423528968416, 0.00025413382261453923, 0.0002498274855016209, 0.0002455939745483831, 0.00024143206135381916, 0.00023734053816700987, 0.00023331821754155567, 0.00022936393199567793, 0.0002254765336780705, 0.00022165489403922455, 0.00021789790350830386, 0.00021420447117532994, 0.0002105735244787105, 0.00020700400889793341, 0.00020349488765140821, 0.00020004514139932352, 0.00019665376795143988, 0.0001933197819798028, 0.00019004221473617054, 0.0001868201137742129, 0.00018365254267630482, 0.0001805385807848786, 0.00017747732293827188, 0.0001744678792109578, 0.0001715093746581128, 0.00016860094906445903, 0.00016574175669726213, 0.0001629309660635015, 0.00016016775967102274, 0.00015745133379374516, 0.00015478089824073207, 0.0001521556761291442, 0.00014957490366097773, 0.00014703782990351864, 0.00014454371657347402, 0.00014209183782470708, 0.00013968148003949996, 0.00013731194162331904, 0.0001349825328030171, 0.00013269257542836808, 0.00013044140277695596, 0.00012822835936230598, 0.0001260528007452226, 0.00012391409334828245, 0.00012181161427342232, 0.00011974475112258616, 0.00011771290182136176, 0.00011571547444556843, 0.0001137518870507337, 0.00011182156750444907, 0.00010992395332149855, 0.0001080584915017549, 0.00010622463837080442, 0.00010442185942319967, 0.00010264962916838198, 0.00010090743097914041, 9.919475694263436e-05, 9.751110771388368e-05, 9.585599237174252e-05, 9.42289282772583e-05, 9.262944093440612e-05, 9.105706385316735e-05, 8.951133841488823e-05, 8.799181373989694e-05, 8.649804655733192e-05, 8.502960107716733e-05, 8.358604886435765e-05, 8.216696871511626e-05, 8.077194653524023e-05, 7.940057522049627e-05, 7.805245453900113e-05, 7.672719101556521e-05, 7.542439781799404e-05, 7.414369464527743e-05, 7.288470761765746e-05, 7.164706916854988e-05, 7.043041793825815e-05, 6.923439866949068e-05, 6.805866210460963e-05, 6.690286488461943e-05, 6.576666944984031e-05, 6.464974394224961e-05, 6.355176210946317e-05, 6.247240321032549e-05, 6.141135192208304e-05, 6.0368298249118065e-05, 5.934293743321038e-05, 5.8334969865307065e-05, 5.7344100998774596e-05, 5.6370041264103493e-05, 5.541250598504307e-05, 5.447121529615298e-05, 5.35458940617296e-05, 5.263627179609452e-05, 5.174208258523078e-05, 5.086306500972282e-05, 4.999896206899702e-05, 4.914952110683302e-05, 4.8314493738131175e-05, 4.749363577689931e-05, 4.668670716545914e-05, 4.589347190483841e-05, 4.5113697986333736e-05, 4.434715732421967e-05, 4.359362568959188e-05, 4.2852882645325544e-05, 4.212471148211841e-05, 4.140889915561311e-05, 4.070523622458177e-05, 4.001351679013895e-05, 3.9333538435987044e-05, 3.866510216965818e-05, 3.800801236475021e-05, 3.7362076704128975e-05, 3.6727106124090936e-05, 3.610291475946037e-05, 3.548931988961315e-05, 3.488614188540561e-05, 3.429320415699929e-05, 3.3710333102561804e-05, 3.3137358057829484e-05, 3.257411124652211e-05, 3.202042773158901e-05, 3.147614536727617e-05, 3.094110475200175e-05, 3.0415149182022403e-05, 2.989812460588077e-05, 2.9389879579619988e-05, 2.8890265222751638e-05, 2.8399135174963952e-05, 2.7916345553561586e-05, 2.7441754911618884e-05, 2.6975224196840555e-05, 2.6516616711112955e-05, 2.6065798070738054e-05, 2.5622636167336244e-05, 2.5187001129407523e-05, 2.4758765284542296e-05, 2.4337803122264667e-05, 2.3923991257506847e-05, 2.351720839469347e-05, 2.3117335292435196e-05, 2.272425472881638e-05, 2.2337851467266282e-05, 2.1958012223005427e-05, 2.1584625630058897e-05, 2.1217582208826543e-05, 2.085677433419548e-05, 2.050209620419419e-05, 2.0153443809173516e-05, 1.981071490150721e-05, 1.9473808965803306e-05, 1.9142627189618326e-05, 1.8817072434663617e-05, 1.849704920850002e-05, 1.8182463636706348e-05, 1.7873223435521305e-05, 1.756923788494216e-05, 1.727041780228198e-05, 1.6976675516169543e-05, 1.6687924840986876e-05, 1.6404081051743297e-05, 1.6125060859368166e-05, 1.5850782386421914e-05, 1.55811651432179e-05, 1.5316130004346014e-05, 1.5055599185594657e-05, 1.4799496221257254e-05, 1.4547745941827831e-05, 1.4300274452068174e-05, 1.4057009109448633e-05, 1.3817878502949636e-05, 1.3582812432224268e-05, 1.3351741887109962e-05, 1.3124599027487126e-05, 1.290131716347873e-05, 1.2681830735981663e-05, 1.2466075297530002e-05, 1.2253987493478404e-05, 1.2045505043505949e-05, 1.1840566723429883e-05, 1.1639112347327816e-05, 1.1441082749962284e-05, 1.1246419769500874e-05, 1.105506623052905e-05, 1.0866965927349474e-05, 1.0682063607563773e-05, 1.0500304955932547e-05, 1.0321636578504904e-05, 1.0146005987020154e-05, 9.97336158357049e-06, 9.80365264552359e-06, 9.636829310699596e-06, 9.472842562799177e-06, 9.311644217077125e-06, 9.15318690625929e-06, 8.997424066695673e-06, 8.844309924749203e-06, 8.69379948341369e-06, 8.545848509158642e-06, 8.400413518994965e-06, 8.257451767761969e-06, 8.116921235626103e-06, 7.978780615794058e-06, 7.842989302431053e-06, 7.709507378785042e-06, 7.578295605511381e-06, 7.449315409194237e-06, 7.322528871062904e-06, 7.197898715898686e-06, 7.075388301129312e-06, 6.954961606107534e-06, 6.836583221571556e-06, 6.720218339283708e-06, 6.605832741843591e-06, 6.493392792674725e-06, 6.382865426179447e-06, 6.274218138061397e-06, 6.167418975810568e-06, 6.062436529350648e-06, 5.959239921843526e-06, 5.857798800649619e-06, 5.758083328441816e-06, 5.660064174468816e-06, 5.563712505967116e-06, 5.468999979717499e-06, 5.3758987337453475e-06, 5.28438137916106e-06, 5.194420992137736e-06, 5.10599110602615e-06, 5.0190657036022105e-06, 4.933619209445509e-06, 4.849626482447304e-06, 4.767062808445894e-06, 4.6859038929850574e-06, 4.606125854196594e-06, 4.5277052158027575e-06, 4.450618900237021e-06, 4.3748442218817836e-06, 4.300358880419901e-06, 4.227140954299632e-06, 4.15516889430949e-06, 4.084421517262429e-06, 4.0148779997865216e-06, 3.946517872221233e-06, 3.879321012616677e-06, 3.813267640835179e-06, 3.7483383127513684e-06, 3.6845139145523577e-06, 3.6217756571329633e-06, 3.560105070586336e-06, 3.499483998788449e-06, 3.4398945940734458e-06, 3.381319311999712e-06, 3.323740906204786e-06, 3.305949844661516e-06]}}