import numpy as np 
import matplotlib.pyplot as plt
import matplotlib.gridspec as gridspec

## define colours for plot
CB_color_cycle = ['#377eb8', '#ff7f00', '#4daf4a',
                  '#f781bf', '#a65628', '#984ea3',
                  '#999999', '#e41a1c', '#dede00']

## datasets
subset_a = {
    'x1':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y1':[2.7352365589385883, 2.7463491746737843, 2.7575456781997283, 2.7688252860282185, 2.780187229428263, 2.791630764014394, 2.803155180395393, 2.814759815965127, 2.826444067922345, 2.8382074076117845, 2.850049396284805, 2.86196970238404, 2.873968120463324, 2.886044591861343, 2.898199227255385, 2.9104323312300044, 2.9227444290047226, 2.935136295475052, 2.9476089867322397, 2.960163874239481, 2.972802681855983, 2.985527525915478, 2.998340958582752, 3.0112460147308493, 3.024246262603113, 3.0373458585484894, 3.050549606146114, 3.0638630200665222, 3.0772923950526465, 3.0908448804446396, 3.104521763259162, 3.118307418332997, 3.1321986085463185, 3.146192932342601, 3.160287846220511, 3.1744806648683963, 3.188768561935542, 3.203148571509234, 3.2176175903713036, 3.2321723811125853, 3.246809576188682, 3.261525683005505, 3.276317090128286, 3.291180074713105, 3.3061108112654933, 3.3211053818362233, 3.3361597877701636, 3.3512699631298486, 3.3664317899213723, 3.3816411152562216, 3.3968937705888207, 3.412248254930546, 3.4277855538820194, 3.4435064230893633, 3.4594111577772177, 3.475499954429377, 3.4917729068588197, 3.508230002350158, 3.524871117901967, 3.5416960165994613, 3.5587043441512147, 3.5758956256270835, 3.593269262438206, 3.6108245296039416, 3.628560573354843, 3.6464764091253077, 3.6645709199943606, 3.682842855638171, 3.701290831863328, 3.719913330795698, 3.73870870180576, 3.757675163257784, 3.776810805177008, 3.7961135929361345, 3.8155813720699907, 3.835211874335127, 3.8550027251393906, 3.874951452475263, 3.895055497499802, 3.9153122269136174, 3.9357223563827897, 3.956296386349337, 3.9770350114689013, 3.997938092816552, 4.019005738887253, 4.040238348772096, 4.0616366595743845, 4.083201798393555, 4.104935339229523, 4.126839365186866, 4.1489165363883265, 4.171170164040325, 4.193604291130588, 4.216223780279869, 4.2390344093172905, 4.262042975202532, 4.285257406979518, 4.308686888516339, 4.332341991866636, 4.3562348221803235, 4.3803791751984855, 4.404758832288468, 4.4293276770250465, 4.454086519037304, 4.479037605731641, 4.504183878732146, 4.529529065109211, 4.555077776876073, 4.580835619409521, 4.60680930951189, 4.633006803900725, 4.659437438991942, 4.686112082933451, 4.713043300951373, 4.740245535192549, 4.767735300388123, 4.795531396826897, 4.823658910286965, 4.852131682811251, 4.880935042295592, 4.910051101882223, 4.939459458119117, 4.969136979650329, 4.999057583311438, 5.029191997584266, 5.059507513518027, 5.089967723410254, 5.12053224776385, 5.1511564513015315, 5.18179114913009, 5.212461198150397, 5.243497905072434, 5.274945085040439, 5.306802108479748, 5.339067837557444, 5.371740589396273, 5.4048180974728695, 5.438297471164621, 5.472175153415664, 5.506446876499934, 5.541107615867817, 5.576151542073004, 5.611571970787627, 5.6473613109270335, 5.6835110109204, 5.72001150318036, 5.756852146843718, 5.7940211688764585, 5.8315056036597515, 5.869291231199595, 5.907362514131247, 5.945694468076831, 5.9842673416339425, 6.023093434022767, 6.062188885162464, 6.10157321111701, 6.1412696826525535, 6.181305737297632, 6.221713428210577, 6.262529913652221, 6.303797991451124, 6.345566683551341, 6.387891876572803, 6.430837025318712, 6.474473927366845, 6.518883578323496, 6.564157119049838, 6.609698135521113, 6.6535532877072905, 6.697324247108455, 6.74200757958575, 6.787581910726035, 6.834020320238618, 6.881289713851457, 6.929350141757655, 6.978154061461514, 7.027645543353367, 7.077759417994613, 7.1284203649517766, 7.179541944119215, 7.231025571854459, 7.2827594459630465, 7.334617425655911, 7.3865822282089315, 7.43917031873858, 7.492428137406077, 7.546315847139059, 7.600787493244496, 7.655790449747019, 7.711264831875945, 7.7671428751538905, 7.823348282166966, 7.879795538857085, 7.936389203087273, 7.993023169308999, 8.049579914422447, 8.105991006722174, 8.162798639697334, 8.220171539882495, 8.278122930208118, 8.336668535763286, 8.395826904118564, 8.45561975671002, 8.516072374126448, 8.577214018467574, 8.639078396319675, 8.701704166337356, 8.765135495938024, 8.829422672223968, 8.894622772963444, 8.960800404308001, 9.02802851292462, 9.096389281408673, 9.165975117255565, 9.236889747351023, 9.309249431948615, 9.38318431450765, 9.458422807409109, 9.528896830351416, 9.59435967658048, 9.660958417714008, 9.728697830738886, 9.7975808980259, 9.867608600963775, 9.938779696014516, 10.011090472008243, 10.08453448746126, 10.159102286674974, 10.234781093357777, 10.311554480509928, 10.389402015326235, 10.468298877906193, 10.54821545262123, 10.629116891077832, 10.710962645740125, 10.793705973441188, 10.877293408226947, 10.961664203246693, 11.04674974173948, 11.132472917574072, 11.218747486292429, 11.305477388192548, 11.392556045676656, 11.479865637896314, 11.56727635665683, 11.654645648609858, 11.741866851978354, 11.829569423512286, 11.91797835642047, 12.007075343669731, 12.096841840959227, 12.1872592332677, 12.278309025207198, 12.369973057206757, 12.462233749664302, 12.555074377326306, 12.648479376283312, 12.742434686108005, 12.836928129812902, 12.93194983447085, 13.027492695526874, 13.1235528880399, 13.220130428333741, 13.317229789815688, 13.414860577048419, 13.513038262546502, 13.611784991228037, 13.71112920882307, 13.811075605239246, 13.911599312795484, 14.012674334494662, 14.114275219094662, 14.216377373343295, 14.318957410622913, 14.421993538658233, 14.525465989077256, 14.62935749176553, 14.733653797122063, 14.838344249517068, 14.943422415473252, 15.048886770352157, 15.154741447634933, 15.260997055254581, 15.367673372734536, 15.474792266213184, 15.582329423477622, 15.690254098804454, 15.798536894313827, 15.907150185375691, 16.01606859012255, 16.125269485956245, 16.234733576084732, 16.344445509295422, 16.454394556372463, 16.56457534680358, 16.674988669709002, 16.78564305228278, 16.896558225479076, 17.007714968827575, 17.11908376142182, 17.230637770558957, 17.34235341275198, 17.454210966310644, 17.566195238625838, 17.67829629149385, 17.790510228060462, 17.902840045261453, 18.015297163647354, 18.12795717716527, 18.240820377351668, 18.35382336527504, 18.466900842968343, 18.57998577522008, 18.69300957837277, 18.805902338011784, 18.918593057445484, 19.031009938885042, 19.143096162175922, 19.25491540490668, 19.36648477910069, 19.477810630021548, 19.588909082882207, 19.699807182745396, 19.810544117271938, 19.92117252834777, 20.03175991959873, 20.14236481253941, 20.252938266410652, 20.363394994784887, 20.473645714560845, 20.583597140769708, 20.69315199465221, 20.802209030539178, 20.91067305297329, 21.018600489088357, 21.12603684763922, 21.233007247176822, 21.339549013871196, 21.44571293736084, 21.551564612119144, 21.657194471027427, 21.76267902502825, 21.867898342017924, 21.97269606333183, 22.07690369248893, 22.180339994402093, 22.282817880157193, 22.384518779107033, 22.48554328368857, 22.585807950098207, 22.685228059669132, 22.783717850936053, 22.881193532176518, 22.97764881991055, 23.07316850336898, 23.16786041893934, 23.261854428754074, 23.355304367429344, 23.44846449177989, 23.541223085867923, 23.633202551439606, 23.723987559249714, 23.81312365801407, 23.900699447668103, 23.987018513753213, 24.07203658041648, 24.15571405284485, 24.238158687711103, 24.320714586024206, 24.403526915522377, 24.486328997462767, 24.56882636451463, 24.65069488289122, 24.73157885079364, 24.811089094845006, 24.888801091113365, 24.964964716720466, 25.04041257830209, 25.114965023426336, 25.188412871490385, 25.26053084461734, 25.33107679694624, 25.39979095748859, 25.466414033535003, 25.531150001097348, 25.59426377204287, 25.655935695431243, 25.716373422088775, 25.775813716353863, 25.834524390507173, 25.892770131708176, 25.950382820335367, 26.007235141200884, 26.063272321843037, 26.118438486659404, 26.17267671663352, 26.22593481239596, 26.278850023805393, 26.33148340555962, 26.383215117128433, 26.433365616021227, 26.481192368682088, 26.525958673069066, 26.56822370443909, 26.60862583287698, 26.647588256896828, 26.685582251749167, 26.723129979344698, 26.76133470645102, 26.8000673504299, 26.8376936111631, 26.872420124869116, 26.90228882637235, 26.92883429868266, 26.95533455429708, 26.981747841930066, 27.008026273141855, 27.034118345600508, 27.059968742755753, 27.085518125851912, 27.11070291838618, 27.135455083188397, 27.15970189237837, 27.183365690548076, 27.206363651619426, 27.228607529945148, 27.250003406351517, 27.270451429968446, 27.289845556856037, 27.308073286617738, 27.32501539839047, 27.340545687821685, 27.354530706883672, 27.366844093159486, 27.377896080760493, 27.387925063266696, 27.396923984351503, 27.404888028796616, 27.411814796555856, 27.417704484223723, 27.422560074121442, 27.426387531233644, 27.429196008253868, 27.430998059027527, 27.431809860717298, 27.431651445059195, 27.43054693912885, 27.428524816097305, 27.42561815652621, 27.421865132567298, 27.41735109699596, 27.412137729888972, 27.406250686800004, 27.39971922594008, 27.392576420096653, 27.384859378380547, 27.3766094784657, 27.367872610072695, 27.358699430545045, 27.349145633478784, 27.339272231492703, 27.329145854370882, 27.31883906397266, 27.30805050620748, 27.296270416137787, 27.283512652932636, 27.269799048212573, 27.255155113400658, 27.239610246940334, 27.223197949679452, 27.205956048924016, 27.187926931741078, 27.16915778817725, 27.149700865158955, 27.1296137319542, 27.108959558205427, 27.08780740569008, 27.066232535133576, 27.044316729589166, 27.022148636115404, 26.99982412772658, 26.977446687869516, 26.955127819995237, 26.932980951364634, 26.91055661069749, 26.88753737180508, 26.86395016496001, 26.839824824796608, 26.815194243468163, 26.790094530688204, 26.764565181139762, 26.738649249795877, 26.712393535761425, 26.685848775321965, 26.65906984497017, 26.63211597527639, 26.605050976577967, 26.57794347758344, 26.550867178125007, 26.523901117446943],
    'x2':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y2':[0.3069385247363834, 0.31434245718051784, 0.32202634749441694, 0.32999970010818186, 0.33827185481607785, 0.3468518737716264, 0.35574840751636627, 0.3649695372504619, 0.37452259036026214, 0.3844139260674608, 0.39464868798089586, 0.4052305203462754, 0.41616124494013, 0.42744049588974764, 0.4390653102778542, 0.4510296732758798, 0.4633240178177691, 0.4759346805585671, 0.4888433181412386, 0.502026290698839, 0.5154540231089261, 0.5290903588244502, 0.5428919261127327, 0.5568075421519402, 0.5707776864749484, 0.5847340814005877, 0.5985994228896733, 0.6122873100813341, 0.6257024248149212, 0.6387410128007543, 0.6514938745777927, 0.6644628301931771, 0.6776688473643128, 0.6910983636044069, 0.7047352365956824, 0.7185605383617703, 0.7325523539106487, 0.7466855892439558, 0.7609317944842995, 0.7752590087424476, 0.789631634195534, 0.8040103476301693, 0.8183520583648082, 0.8326099219383056, 0.8467334191624091, 0.8606685100055286, 0.8743578712229448, 0.8877412255985845, 0.9007557690518727, 0.9133366996468325, 0.9254178497070518, 0.9372637534084463, 0.9492817342514853, 0.9614694653139916, 0.9738220545580397, 0.9863339112821325, 0.9989987134724114, 1.0118093772236387, 1.0247580288817437, 1.0378359806308726, 1.0510337103194742, 1.0643408463905955, 1.0777461588495754, 1.0912375572658033, 1.104802096861919, 1.1184259937914727, 1.1320946507419447, 1.1457926940215575, 1.1595040232926959, 1.173211875099383, 1.1868989012986433, 1.2005472634437315, 1.2141387440794311, 1.2276548757953183, 1.2410770887420173, 1.2543868771495341, 1.2675659851983163, 1.280596612387189, 1.2934616383237043, 1.3061448666397824, 1.3186746978255015, 1.331195327670088, 1.3437129220248902, 1.3562202517397612, 1.3687105589350264, 1.381177686608009, 1.3936162205037699, 1.406021643771387, 1.418390504947999, 1.430720599852056, 1.4430111680309636, 1.4552631045039082, 1.4674791876768887, 1.4796643244940808, 1.4918258141397973, 1.5039736319327974, 1.5161207354765847, 1.5282833956660073, 1.5404815558265108, 1.5527392231077761, 1.565084897305128, 1.5775065434498998, 1.5899407164443156, 1.6023834024056722, 1.6148323938252567, 1.627286287473131, 1.6397446113773946, 1.6522079625457449, 1.664678156126341, 1.6771583867976747, 1.6896534032952841, 1.7021696971326168, 1.7147157067611023, 1.727302038648903, 1.7399417070488865, 1.7526503945860434, 1.7654467362374555, 1.7783415842841184, 1.7913150374079954, 1.804358340163204, 1.8174631808075827, 1.8306206470064295, 1.8438212073614837, 1.8570546941730182, 1.870310287696112, 1.8835765021730821, 1.8968411739447857, 1.910091451963699, 1.923313791050941, 1.9364939482573262, 1.9496518988044353, 1.9629396951258389, 1.9763759023562297, 1.9899590841702963, 2.0036876245388764, 2.0175597246263135, 2.031573400444581, 2.045726481380418, 2.0600166097217705, 2.074441241320424, 2.088997647538715, 2.103682918639717, 2.118493968792183, 2.13342754287386, 2.148480225269477, 2.163648450872773, 2.178928518515284, 2.1943166070583113, 2.209808794398435, 2.2254010796511756, 2.2410894087919018, 2.2568560237974604, 2.2726722929501295, 2.288543637830164, 2.304478422945111, 2.320487089408466, 2.336582386682018, 2.352779624405719, 2.369096946515587, 2.3855556302559657, 2.4021804131852353, 2.418999851872127, 2.436046716705363, 2.453358428119973, 2.470977540613192, 2.4889522822239347, 2.507337158735369, 2.5259297160444065, 2.5437307530852804, 2.5612705684328803, 2.5791282860598645, 2.597293435819224, 2.6157533052077433, 2.6344927000174807, 2.6534936862582836, 2.672735312875873, 2.6921933150175645, 2.711839797892554, 2.7316429016474375, 2.7515664481430018, 2.771569571088771, 2.791606331681181, 2.811625322713499, 2.831625016348523, 2.851839076512143, 2.8722831736849033, 2.8929332547796442, 2.9137618504718064, 2.934737773026227, 2.9558257985664684, 2.9769863350291277, 2.9981750776025895, 3.019342654109659, 3.040434263566249, 3.0613893120424898, 3.0821410509743474, 3.102649395473162, 3.1232041561524917, 3.1438912334084352, 3.1647117024623355, 3.1856674442836996, 3.2067612598305724, 3.227996994826929, 3.249379675918216, 3.270915659133416, 3.2926127916842667, 3.3144805882525517, 3.3365304230584827, 3.3587757391711754, 3.3812322767216365, 3.403918321915266, 3.4268549790225658, 3.4500664678619657, 3.47358044968861, 3.497428384880181, 3.521645926381478, 3.546273353552335, 3.5711883909601743, 3.594009060928309, 3.6146965237826705, 3.6356751326482493, 3.656940843459151, 3.6784886887784114, 3.7003126944151044, 3.722405790186692, 3.7447597145631737, 3.767364912942525, 3.7902104293256573, 3.813283791184956, 3.8365708873542284, 3.860055838811257, 3.88372086227824, 3.9075461266321168, 3.9315096021974774, 3.9555869030917425, 3.979751122907015, 4.003972664148072, 4.028219062002916, 4.052454803203851, 4.076641140944687, 4.100735907055838, 4.124693322905138, 4.148463810789634, 4.171993807913229, 4.195225585407012, 4.218097075242526, 4.240567331213793, 4.262973601565745, 4.285430545208079, 4.307924452041752, 4.330440884410316, 4.352964665905469, 4.375479872176519, 4.397969824000883, 4.4204170828865905, 4.442803449490993, 4.465109965152238, 4.4873169168413085, 4.509403845852238, 4.531349560556235, 4.553132153551597, 4.574729023544943, 4.59611690230048, 4.617271886991904, 4.638169478286266, 4.658784624479902, 4.679091771993412, 4.699112723018143, 4.719084757760737, 4.7390268835780995, 4.75891755628464, 4.778733766808898, 4.798450976865281, 4.818043054477549, 4.837482209749009, 4.856738931330821, 4.875781924100895, 4.894578048631062, 4.913092263089755, 4.9312875683009025, 4.949124956756746, 4.96656336646246, 4.983559640572894, 5.000105616106657, 5.016500758219157, 5.032807864502762, 5.049010517599866, 5.065091486872141, 5.081032707182544, 5.096815258571267, 5.112419347011541, 5.127824286446303, 5.143008482321999, 5.157949416851591, 5.17262363625443, 5.187006740236499, 5.201070317757784, 5.214722082031952, 5.227938616707766, 5.240736454645119, 5.253136116943014, 5.265162387200058, 5.276844597859861, 5.288216930284217, 5.299318730617109, 5.310194843997431, 5.3208959702593495, 5.331476989178135, 5.34174186444923, 5.351541079601655, 5.360893013898083, 5.369819878216944, 5.3783479539378165, 5.386507841455516, 5.394334719809898, 5.401868619290859, 5.409154709312718, 5.416217765140745, 5.422908652848528, 5.4292044604031044, 5.43512041082951, 5.440674578090702, 5.4458880579230575, 5.450785145607532, 5.455393521590558, 5.45974444607787, 5.463819617575314, 5.467567738056234, 5.470991230753709, 5.474093947428181, 5.476881085386824, 5.479359273701556, 5.481536662455397, 5.483417561758481, 5.484945907605138, 5.486124236795795, 5.486980904845614, 5.487547643745808, 5.487859735197805, 5.487956193439045, 5.48787481447977, 5.487601075638627, 5.4871125116902135, 5.486390163090251, 5.485413999373132, 5.484162879555173, 5.482614973294237, 5.480776998931953, 5.478669294318677, 5.476305692023337, 5.4737017239715975, 5.470874708210691, 5.467844188145579, 5.464623920039143, 5.461204511928151, 5.4575728963962415, 5.453715347318352, 5.449617480704607, 5.445298513403904, 5.44077794991387, 5.436046065540669, 5.43109273077431, 5.4259074456599095, 5.420506329969994, 5.414903525230098, 5.409091152392233, 5.403061054401332, 5.396816119269038, 5.3904586100317, 5.383997996908949, 5.377411740336324, 5.370675728555705, 5.363764207437288, 5.356649710343466, 5.349302988579119, 5.341692943059773, 5.333846319022173, 5.325841079101258, 5.317671941233965, 5.30933214615787, 5.300814635543772, 5.292112042016357, 5.283216679126454, 5.274123829578591, 5.264896629226106, 5.2555696798124005, 5.246153803717006, 5.2366606306808015, 5.2271026341696984, 5.217493169617887, 5.207834550277463, 5.198023430628962, 5.188059191411667, 5.177977337988153, 5.167815933673786, 5.157615710927077, 5.147419990654135, 5.1372319776257225, 5.12701369542949, 5.116734897836167, 5.106363225473572, 5.095864111741715, 5.085203133989136, 5.074398096712795, 5.063487985999938, 5.052507420799768, 5.0414933666764306, 5.030485239922171, 5.019466279977085, 5.008405462307579, 4.997340354042611, 4.986311095767714, 4.975360398270717, 4.96443808626829, 4.953456184224893, 4.942418099176871, 4.931327518392599, 4.920188344899341, 4.909004705981842, 4.897780962034162, 4.88652171578781, 4.875231821941434, 4.863916397219587, 4.852580830890833, 4.84123079577818, 4.829872259798098, 4.8185114980677435, 4.8071551056239255, 4.7958100108014685, 4.784483489323347, 4.773183179160003, 4.7619170962209445, 4.750693650947947, 4.739520296012032, 4.7283555439053275, 4.717178869800981, 4.705993924961903, 4.694804515054336, 4.683614605760598, 4.672428328653951, 4.661249987353168, 4.650084063975903, 4.638935225911498, 4.62780833293557, 4.616708444690594, 4.605640828558755, 4.59461096795552, 4.583624571074839, 4.572687580119569, 4.561805960691331, 4.550937741198103, 4.540055271235742, 4.529169319406671, 4.518291274994161, 4.5074331754641275, 4.496607735689338, 4.485828379074909, 4.475109270784657, 4.464465353291285, 4.453912384499429, 4.443466978719829, 4.433146650805799, 4.422969863800009, 4.412884768749791, 4.40279774792649, 4.392711360995937, 4.382629140556428, 4.372554761045232, 4.362492043938544, 4.352444963204264, 4.342417651024688, 4.332414403807646, 4.322439688506072, 4.312498149267649, 4.302594614437921, 4.292734103942242, 4.282921837073993, 4.273163240718864, 4.263463958047458, 4.253829857711272, 4.244267043580119, 4.234781865062336, 4.225380928052768, 4.216070484674283, 4.206804845015135, 4.197557549403206, 4.188336360688016, 4.1791494519618695, 4.17000542538979, 4.1609133321950535, 4.151882693904569, 4.142923524969322, 4.134046356887394, 4.125262263970618, 4.116582890911198, 4.108020482321511, 4.0995879144392875, 4.091298729211571, 4.08316717099456, 4.07520822613313],
    'x3':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y3':[0.23097171513688053, 0.23605025916207456, 0.24129751775520739, 0.2467175479448701, 0.252314125711779, 0.2580906699766635, 0.26405015585565556, 0.2701950161940925, 0.27652703040605703, 0.28304719970050723, 0.2897556078765389, 0.2966512670330784, 0.30373194777690804, 0.31099399384376675, 0.31843212148808353, 0.32603920456589797, 0.33380604695039495, 0.3417211447957298, 0.3497704422135355, 0.3579370851515292, 0.3662011796579453, 0.374539562257035, 0.38292559180777974, 0.3913289739039245, 0.399715630503284, 0.408047628920906, 0.41628318542439785, 0.4243767592410961, 0.43227925261449984, 0.4399383314124867, 0.447407618622952, 0.454958833625605, 0.4626012881469581, 0.47032581795957673, 0.47812214381968476, 0.48597882721283603, 0.49388323387437, 0.5018215069922057, 0.5097785521415104, 0.517738036112946, 0.5256824018676076, 0.5335929018705179, 0.5414496520083372, 0.5492317081736185, 0.5569171673862311, 0.5644832950130783, 0.5719066792334427, 0.5791634133766427, 0.5862293061338808, 0.5930801189259279, 0.5996918289085251, 0.6061894988235146, 0.6127578258342712, 0.6193948889488093, 0.626097646044156, 0.632862788885116, 0.6396867408053329, 0.6465656563395173, 0.6534954230896473, 0.660471666125142, 0.6674897552329208, 0.6745448153474731, 0.6816317405031276, 0.6887452116602162, 0.695879718763311, 0.7030295873928253, 0.7101890103706386, 0.7173520846758085, 0.7245128540177052, 0.7316653574011308, 0.7388036840012978, 0.7459220346465044, 0.7530147901836158, 0.7600765869771989, 0.7671023997687826, 0.7740876321001816, 0.7810282144864938, 0.7879207105132273, 0.794762431031552, 0.8015515566401021, 0.8082977093457905, 0.8150367293529044, 0.8217688300887145, 0.8284910721352239, 0.8352008403915538, 0.8418959101457542, 0.8485745188327126, 0.8552354437453239, 0.8618780859893095, 0.8685025610053416, 0.8751097960282158, 0.8817016349149357, 0.8882809508555927, 0.8948517675873306, 0.9014193898678377, 0.9079905441370366, 0.9145735305115233, 0.9211783875249218, 0.9278170713597089, 0.9345036517257053, 0.9412545270439153, 0.9480570689960216, 0.9548660048080984, 0.9616799506055121, 0.9684987784101258, 0.9753228825876649, 0.9821532506531453, 0.9889915398445607, 0.9958401598897314, 1.0027023624549887, 1.0095823378434634, 1.0164853196084933, 1.0234176978679117, 1.0303871422524233, 1.037402735601525, 1.0444751197402358, 1.0516166549375234, 1.0588323129974562, 1.066104170268732, 1.0734271014300536, 1.0807965207465442, 1.0882074156855195, 1.0956543232737082, 1.1031313059886991, 1.1106319272905059, 1.1181492269187348, 1.125675696102317, 1.1332032528520832, 1.1407232175316717, 1.1482262889293007, 1.1557219195619166, 1.1632935871574812, 1.1709517476623046, 1.1786958216393075, 1.1865251411529705, 1.1944389482039004, 1.2024363935318592, 1.2105165358442196, 1.2186783415318758, 1.2269206849399719, 1.2352423492664266, 1.2436420281671023, 1.2521183281525994, 1.2606697718680941, 1.2692948023542565, 1.2779917883942427, 1.286759031058878, 1.2955947715695808, 1.3044972006062112, 1.313464469194906, 1.322494701319124, 1.3315778082554914, 1.3406968522663427, 1.3498549517212088, 1.359056868032791, 1.3683084766645026, 1.377616890850324, 1.3869905961086588, 1.3964395967122134, 1.4059755754810281, 1.415612068513873, 1.4253646567731661, 1.4352511768012777, 1.4452919532848445, 1.4555100567150234, 1.4659315900358165, 1.4765860089552105, 1.4873574327693597, 1.4976882911540363, 1.5078827077584294, 1.5182639355630838, 1.5288261519136743, 1.5395622612476283, 1.5504637587505303, 1.5615205832442196, 1.5727209590026217, 1.5840512263134194, 1.5954956607628517, 1.6070362814236387, 1.6186526483795642, 1.6303216503320628, 1.642017283412382, 1.6537104227753998, 1.6654000123203214, 1.677217671281644, 1.6891723634255473, 1.701250682699773, 1.7134373043185094, 1.7257148144115737, 1.7380635306494032, 1.7504613144614605, 1.7628833757626445, 1.7753020714551881, 1.7876866993879006, 1.8000032899356226, 1.8122143979132825, 1.8242977398844076, 1.8364182945258027, 1.848624944530123, 1.8609183343925833, 1.8732995331373363, 1.8857700957877583, 1.8983321306227308, 1.9109883726853654, 1.9237422640571569, 1.9365980414647883, 1.9495608318501414, 1.962636756608468, 1.9758330452871797, 1.989158159641062, 2.002621929061893, 2.016235698545334, 2.030012490529844, 2.0439671821468646, 2.0581166996648634, 2.0724802322001263, 2.0870794671137203, 2.1018304748040535, 2.1153651087371848, 2.1277100570629623, 2.140235746683634, 2.1529401127526797, 2.165820546128233, 2.178873842597524, 2.1920961484148815, 2.2054829019746247, 2.2190287714463994, 2.2327275882102775, 2.2465722759429694, 2.260554775225517, 2.2746659635676396, 2.2888955707755776, 2.3032320896296707, 2.3176626818863304, 2.33217307967762, 2.3467474824517316, 2.3613684496806395, 2.3760167896584727, 2.3906714448273005, 2.405309374197371, 2.4199054335778882, 2.434432254503383, 2.448860122930646, 2.4631568589928747, 2.4772876993313906, 2.4912151837807537, 2.5049137072291567, 2.5185745679063833, 2.5322633730729835, 2.545972596635985, 2.559694406159231, 2.5734206687836227, 2.5871429591383373, 2.6008525694119546, 2.614540521757136, 2.6281975832064735, 2.6418142832801514, 2.655380934468159, 2.668887655770603, 2.6823243994794703, 2.695680981383447, 2.70894711457442, 2.7221124470297857, 2.7351666031386728, 2.748099229332768, 2.7609000439734532, 2.7735588916367133, 2.7860855776356113, 2.7985781766095013, 2.811042783317299, 2.8234686602475993, 2.8358445423435774, 2.8481586280043265, 2.860398571323628, 2.872551475730812, 2.8846038892073773, 2.8965418012616295, 2.908350641851604, 2.920015282453815, 2.9315200394817067, 2.9428486802628133, 2.9539844317874877, 2.9649099924441917, 2.975626536923647, 2.9862877895811013, 2.9969160682227396, 3.0074910261443315, 3.0179905972858836, 3.028390899241881, 3.03866613511575, 3.0487884949646453, 3.058728057725114, 3.0684526946701136, 3.077927975623571, 3.087117079349903, 3.0959807097421908, 3.1044867142738948, 3.112839268191206, 3.121125681693317, 3.1293318316339795, 3.1374426370916058, 3.145442015036631, 3.153312835702244, 3.1610368779276095, 3.1685947847858746, 3.1759660198562827, 3.183128824550783, 3.190060348938738, 3.19676344757162, 3.2032553405769226, 3.2095447345031802, 3.2156421915750473, 3.221560255514377, 3.2273135832924646, 3.2329190835101715, 3.238396062259316, 3.2437663775024412, 3.249027563211733, 3.254006310301035, 3.2586843328114456, 3.263085658826736, 3.267237779974904, 3.2711718413937634, 3.274922842514805, 3.2785298511799925, 3.2820362341420233, 3.285390603183194, 3.288498119044122, 3.2913753151394447, 3.2940414337166843, 3.2965182313133656, 3.298830116661583, 3.3010042965354764, 3.303064581667014, 3.3049535296913883, 3.3066557964273033, 3.3081807710245443, 3.309539222838775, 3.3107433798169956, 3.3118070104473056, 3.3127423137413454, 3.313534338732944, 3.3141736614825907, 3.314654442407211, 3.3149707475540913, 3.3151165527633597, 3.3150856130803628, 3.3148684210939594, 3.3144680331239846, 3.3138938093223196, 3.3131563264723596, 3.312267441170686, 3.3112375823044746, 3.3100514673134764, 3.3087125489199076, 3.3072324763723495, 3.305624161039691, 3.3039018472494557, 3.3020839935153554, 3.3001607523594574, 3.298105055544104, 3.2958878885016003, 3.2934782039887818, 3.2908525991123234, 3.2880345589259834, 3.2850636417309516, 3.2819828072350905, 3.2788382037990473, 3.275655248889158, 3.2724225769854907, 3.269124624801447, 3.2657446942234043, 3.262264898962676, 3.2586661111587287, 3.2549279083705156, 3.2510285214659, 3.2469676540545085, 3.2427758793843937, 3.238460678133746, 3.234029836082389, 3.229491877859905, 3.224856100368974, 3.220132607703903, 3.2153324050577563, 3.210464022159881, 3.2055248814783326, 3.2005102100445697, 3.195414953772588, 3.1902337657178728, 3.1849609941334833, 3.1795896720544996, 3.1741106050602013, 3.1685371891481116, 3.1628883642957892, 3.1571844797572712, 3.1514473562842262, 3.14570039179167, 3.13996375544915, 3.1342225241374937, 3.128449343488522, 3.1226149118590785, 3.1166878918920418, 3.110637317019697, 3.104482009881923, 3.0982540666863665, 3.091979573845552, 3.085686428343771, 3.079404419780634, 3.0731437924928198, 3.066886677693759, 3.0606260264963994, 3.0543542836909445, 3.048063328202824, 3.04173836375204, 3.0353706795145836, 3.0289622897889785, 3.0225153486857628, 3.016032149141773, 3.009515128561937, 3.002966874689409, 2.996390131718508, 2.9897878066663104, 2.9831629760202576, 2.9765188926808452, 2.969858993220288, 2.9631869054801308, 2.956506456532998, 2.9498216810362092, 2.9431368300076732, 2.936456380057585, 2.929785043112734, 2.923127776673975, 2.916489794651489, 2.9098757542584996, 2.9032608480069415, 2.896632830782184, 2.889994012914144, 2.883346813551064, 2.8766937648016673, 2.8700375160681535, 2.8633808385829043, 2.8567266301629513, 2.8500779201974065, 2.8434378748844016, 2.836809802735538, 2.8301971603673843, 2.8236035586013615, 2.8170327688951864, 2.810488730131172, 2.803975421153782, 2.797467446658372, 2.790947784548005, 2.7844227966327155, 2.777899216898431, 2.7713841679934967, 2.764885178724632, 2.7584102026656967, 2.751967637994715, 2.745566348688039, 2.739215687215619, 2.732925518898195, 2.7267062481062063, 2.7205688465014477, 2.7144836959191707, 2.708396819052787, 2.702309621776922, 2.6962240648988858, 2.6901421844762394, 2.68406609446049, 2.677997989465692, 2.6719401476701297, 2.66589493385995, 2.659864802624233, 2.653852301711816, 2.6478600755609114, 2.641890869013504, 2.6359475312274525, 2.6300330198002393, 2.624150405119489, 2.618302874956569, 2.612493739320971, 2.6067264355946294, 2.601004533966932, 2.595331385396254, 2.589680606612151, 2.584037410464306, 2.5784068367565958, 2.572794200372324, 2.567205103940997, 2.561645451285563, 2.5561214617223627, 2.550639685293865, 2.5452070190229636, 2.539830724287336, 2.5345184454231924, 2.529278229679885, 2.5241185486604287, 2.519048321398179, 2.5140769392370124, 2.509214292701561],
    'x4':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y4':[0.022155815851608487, 0.0228119763133638, 0.023501137280817642, 0.024225253877605723, 0.02498638781949627, 0.02578670741786004, 0.026628485671391856, 0.02751409586677413, 0.028446003975360235, 0.029426756974249117, 0.0304589660335686, 0.031545283295299764, 0.032688370721802244, 0.033890859215869755, 0.035155295913868484, 0.0364840772400872, 0.03787936500284066, 0.03934298254163401, 0.04087628774603376, 0.042480019727603666, 0.044154116128950587, 0.045897498621724236, 0.04770782523473815, 0.04958120995216185, 0.051511912739464406, 0.053492006999248894, 0.05551103659381154, 0.057555681047688344, 0.059609455205115285, 0.06165247797943654, 0.06369717728658968, 0.06583247778650217, 0.06806742273709888, 0.07040523996756712, 0.07284877068996076, 0.07540033002040397, 0.078061540360887, 0.08083313449039783, 0.08371472553214361, 0.08670454163557845, 0.089799124366465, 0.0929929915845815, 0.09627826816880426, 0.09964429148079292, 0.10307720306624342, 0.10655954382522734, 0.1100698766526161, 0.1135824680563086, 0.11706706791077597, 0.12048883333389507, 0.12380844731929386, 0.12711070348033127, 0.13055024270155569, 0.13413355898253448, 0.13786650476709353, 0.14175496259781636, 0.1458047950083918, 0.15002178335460709, 0.1544115539047308, 0.1589794893574709, 0.16373062382024603, 0.16866951917623166, 0.17380012071410803, 0.17912558991359676, 0.18464811240278986, 0.19036867936684668, 0.19628684113572695, 0.20240043236183186, 0.20870526917258783, 0.2151948200066063, 0.22185985357129792, 0.22868806954165694, 0.23566372028159246, 0.24276723500486894, 0.24997486134670946, 0.25725834316476415, 0.2645846573161966, 0.27191583584728996, 0.2792089030494341, 0.28641595863618674, 0.29355588720920794, 0.30085291608566855, 0.3083258906691125, 0.31597109957431785, 0.3237838888369608, 0.3317586428687171, 0.33988878437928416, 0.34816679763258296, 0.35658427975726026, 0.3651320251167206, 0.37380014794048905, 0.3825782485088456, 0.3914556281544888, 0.4004215581964815, 0.40946560766520973, 0.41857803434425495, 0.4277502433023386, 0.43697531680247037, 0.4462486193785625, 0.455568482125994, 0.4649369710737077, 0.4743881909499957, 0.4839678011918935, 0.4936677211604789, 0.5034785332623496, 0.5133904381222475, 0.5233934177673377, 0.5334774348548886, 0.5436326709949308, 0.5538498070806043, 0.5641203483863667, 0.5744369970614918, 0.5847940745803489, 0.5951879967746844, 0.6056178043476136, 0.6160857523565559, 0.6265979631798623, 0.637186042112312, 0.6479027722850814, 0.6587352725502815, 0.6696654034408238, 0.6806725709410165, 0.6917335736031084, 0.7028224597776491, 0.7139103996997718, 0.7249655778394875, 0.735953111569566, 0.7468350027948965, 0.7575701296798709, 0.7681142859553344, 0.7784885206660731, 0.7889782517455759, 0.7996177473934314, 0.8104025009502789, 0.8213273862417775, 0.8323866338130697, 0.8435738101290262, 0.8548818004522171, 0.8663027961780527, 0.8778282874725362, 0.8894490621208282, 0.9011552115525179, 0.9129361450599482, 0.9247806132669777, 0.9366767419347426, 0.9486120772059795, 0.9605736433879412, 0.9725480143537887, 0.9845213996018831, 0.9964797459503377, 1.0084088557601874, 1.020305134809364, 1.0321838730118296, 1.0440451375604398, 1.0558905779199768, 1.0677244827261865, 1.0795541659308845, 1.0913903856074285, 1.1032477990804135, 1.1151454592076782, 1.1271073581567108, 1.1391630269656963, 1.151348201668699, 1.1637055699326524, 1.1762856161811637, 1.189147588305798, 1.2023606156107118, 1.2157006153687537, 1.2280130568664183, 1.2398940462981258, 1.2520061213055413, 1.2643331406205136, 1.2768556378868827, 1.2895504342254225, 1.302390223318861, 1.3153431308791672, 1.3283722516425511, 1.3414351686271984, 1.3544834613209584, 1.3674622117713084, 1.380309520246816, 1.39295604522878, 1.4053245859476562, 1.4174035529478262, 1.4294979968656474, 1.4416326047601002, 1.453781208156795, 1.4659145823752704, 1.4780002310282772, 1.4900021714477567, 1.5018807248766581, 1.5135923160754792, 1.5250892878805267, 1.5363197372064092, 1.5472273799901544, 1.5577514536018806, 1.567861359759497, 1.5778675575115417, 1.5878555184425127, 1.5978201417128481, 1.607756493020367, 1.6176598555115298, 1.6275257852418847, 1.637350171385119, 1.6471293013923303, 1.6568599313071883, 1.6665393614494888, 1.6761655176900963, 1.6857370385556145, 1.695253368422674, 1.7047148570910142, 1.7141228660634944, 1.7234798819118358, 1.732789637171901, 1.7420572392944187, 1.7512893082798024, 1.7604941237528926, 1.7695671377842441, 1.777179631838979, 1.7834854146493022, 1.7898602941352328, 1.7962979113259336, 1.8027911417824014, 1.8093320363602161, 1.815911758766846, 1.8225205199364702, 1.8291475092886889, 1.8357808229894732, 1.8424073893943016, 1.849012891925705, 1.8555816897216542, 1.862096736488313, 1.8685394981019752, 1.8748898696313, 1.8811260925932722, 1.8872246734151716, 1.8931603042506029, 1.8989057874901425, 1.9044319655157913, 1.9097076574716119, 1.914699605058574, 1.9193724296062344, 1.923688602922802, 1.9276084346723965, 1.9310900792660033, 1.9340895654712849, 1.9365865877374606, 1.9389385696329198, 1.9412703461168086, 1.943576937571873, 1.9458530086448684, 1.9480928496774548, 1.9502903575977628, 1.952439016313278, 1.9545318766559083, 1.9565615359416415, 1.9585201172200366, 1.9603992483031503, 1.9621900406793333, 1.9638830684348536, 1.9654683473254875, 1.9669353141611756, 1.968272806689595, 1.9694690441890734, 1.97051160900764, 1.971387429313114, 1.9720827633489229, 1.972574715127436, 1.9728108022382638, 1.9727914137490634, 1.972526244615043, 1.972026543351906, 1.971305173787455, 1.9703766774404845, 1.969257337081685, 1.9679652421756453, 1.9665203570654262, 1.9649445929439286, 1.9632618848621315, 1.9614982752569112, 1.9596820057451467, 1.9578436192318442, 1.9560160747254398, 1.9542092739379764, 1.9522200083221513, 1.950005362140095, 1.9475774895144686, 1.9449499357920796, 1.9421376806312138, 1.9391571820669247, 1.9360264221897623, 1.932764955199239, 1.929393958733443, 1.925936289532694, 1.9224165446707724, 1.9188611297853102, 1.9152937416685878, 1.9116243742073569, 1.9078127227503114, 1.903865871435699, 1.8997915901223965, 1.8955983564660421, 1.8912953785640412, 1.8868926183532466, 1.8824008159780612, 1.877831515384617, 1.8731970914388536, 1.8685103958844531, 1.863737442489253, 1.8588534743143093, 1.8538650123821903, 1.8487791021929927, 1.8436033292218825, 1.8383458349285233, 1.8330153334144819, 1.8276211288868414, 1.8221731341108363, 1.8166758348741434, 1.8110949105182832, 1.805429725835904, 1.7996888561263207, 1.793881436062234, 1.7880171754512932, 1.7821063760193552, 1.7761599494366977, 1.7701894368390405, 1.7641912125612098, 1.7581507475445446, 1.7520687115602058, 1.7459458657386246, 1.7397830149043105, 1.7335810086773127, 1.7273407425902605, 1.7210627689400773, 1.7147435232015793, 1.708384150491009, 1.7019876369381528, 1.695557126894675, 1.6890959272934774, 1.6826075121718325, 1.6760925741013637, 1.6695354925699368, 1.6629428334204404, 1.6563265839180452, 1.6496993437683922, 1.643074344055434, 1.636465215090774, 1.6298700866962572, 1.6232804361427926, 1.6166920375366178, 1.6101004083126425, 1.603500799861993, 1.5968872953674993, 1.5902518635994538, 1.583605695790803, 1.576964313500297, 1.5703439874814145, 1.563761744156737, 1.5572050989951496, 1.5506637596009551, 1.5441546818235312, 1.5376956283074128, 1.5313051904335258, 1.5249890682825864, 1.518734245845232, 1.5125295050321932, 1.5063629914607992, 1.5002203859156795, 1.4940768510184432, 1.4879335858247795, 1.4817981451741427, 1.4756784331611834, 1.469582716022842, 1.463519636365081, 1.4574982289183753, 1.4515279380337405, 1.4456152321153595, 1.4397542993289096, 1.4339370071651405, 1.4281547717515612, 1.4223985113520905, 1.4166586241903034, 1.4109249666264974, 1.4051875080554523, 1.3994528884090853, 1.3937295559797778, 1.3880222145077585, 1.3823357689520286, 1.3766753333002266, 1.3710462390375366, 1.3654525091427037, 1.3598836611551388, 1.3543403231917008, 1.3488274334290247, 1.343350138052226, 1.337913800425918, 1.332523963462444, 1.327178570296384, 1.321873435376248, 1.3166081474371225, 1.3113822230234087, 1.3061951028372476, 1.3010467227977696, 1.2959434817721194, 1.2908826464065064, 1.285857858489443, 1.2808623725989938, 1.275889037826995, 1.2709078703449561, 1.2659192286834755, 1.2609714959386742, 1.2561156424881612, 1.2514053072331597, 1.246793492423743, 1.2421862124342937, 1.2375850301238904, 1.2329916432824535, 1.2284078091249113, 1.223835346357306, 1.219276137364833, 1.2147321305320853, 1.2102053427066912, 1.205697861818554, 1.2012118496680133, 1.1967495448974605, 1.1923132661622993, 1.1879054155185964, 1.1835284820464231, 1.1791850457296387, 1.174877781614895, 1.1706094642747895, 1.1663829726025303, 1.16220129496816, 1.1580671841993933, 1.1539705181380915, 1.1499055169052468, 1.1458723521827299, 1.1418711587918038, 1.1379020325591458, 1.1339650280675408, 1.1300601562850219, 1.1261873820660186, 1.1223466215178692, 1.1185377392258262, 1.1147605453295242, 1.111014792443696, 1.1073001724157876, 1.1036163129130163, 1.0999627738313416, 1.096339015258681, 1.092738754092417, 1.0891592641149603, 1.0856031505719557, 1.0820731292327874, 1.0785720315059264, 1.0751028099290543, 1.0716685440699856, 1.068272446878173, 1.0649178715307754, 1.0616083188219467, 1.0583474451492323, 1.0551390711568374, 1.0519871911020708, 1.0488748492201827, 1.045773656204876, 1.0426843808798654, 1.0396080713048723, 1.036545805176903, 1.0334986908616188, 1.0304678684846231, 1.0274545110868887, 1.0244598258488664, 1.0214850553881578, 1.0185314791360214, 1.015600414798371, 1.012693219907396, 1.009811293470388, 1.0069560777229105, 1.0041290599940058, 1.0013317746917596, 0.9985658054182491, 0.9958327872236182, 0.9931344090098698, 0.9904722407849119, 0.9878332058838706, 0.9852096772278938, 0.9826036606790701, 0.9800172521897925, 0.9774526420172279, 0.9749121192235115, 0.9723980764875305, 0.9699130152567719, 0.9674595512706594, 0.9650404204900317, 0.9626584854710658, 0.9603167422259719, 0.9580183276173199, 0.9557665273379149, 0.9535647845337984, 0.951416709134314],
}

subset_b = {
    'x1':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y1':[151.04473152728534, 151.20273837056456, 151.36241806739437, 151.5237686840141, 151.68678837674025, 151.85147553090096, 152.01782891771603, 152.18584787066266, 152.3555324829697, 152.52688382799923, 152.699904204392, 152.8745974079851, 153.05096903264794, 153.2290268023337, 153.40878093680672, 153.59024455368393, 153.77343410962138, 153.95836988369217, 154.1450765062352, 154.33358353671554, 154.5239260944275, 154.7161455461944, 154.9102902555841, 155.10641639856883, 155.30458885102274, 155.50488215397698, 155.70738156315403, 155.91218418998955, 156.11940024213743, 156.3291543723599, 156.54148145709823, 156.75615287988154, 156.97313084961237, 157.19239006560613, 157.41390252591972, 157.63763749001274, 157.86356145167053, 158.09163812356027, 158.3218284348927, 158.55409054376986, 158.78837986590813, 159.02464912154076, 159.26284840242022, 159.50292526096138, 159.74482482368998, 159.9884899312855, 160.2338613076374, 160.48087776046296, 160.72947641616793, 160.97959299176654, 161.23116210681317, 161.48515570221562, 161.74293067045426, 162.00452279153333, 162.26996036822698, 162.53927017080846, 162.8124773410486, 163.0896052957441, 163.37067563026866, 163.65570802270616, 163.944720139196, 164.23772754119886, 164.5347435954742, 164.83577938765052, 165.14084364036688, 165.44994263706772, 165.76308015264425, 166.08025739223459, 166.4014729396223, 166.72672271680727, 167.0559999564672, 167.3892951891802, 167.72659624744017, 168.06788828866746, 168.41315383959716, 168.76237286461776, 169.11552286083142, 169.472578982818, 169.83351420030468, 170.19829949217444, 170.56696575175553, 170.9397214803113, 171.3165989221137, 171.69761515900862, 172.08279167104305, 172.47215519402755, 172.86573866977946, 173.26358229674528, 173.66573468930545, 174.07225415472698, 174.48321009747198, 174.89868456139422, 175.31877392128226, 175.74359073625308, 176.17326577868386, 176.60795025371604, 177.04781822590502, 177.4930692713542, 177.9439313757031, 178.40066410068525, 178.8635620446877, 179.33234479749783, 179.80615072249535, 180.2850165370122, 180.7690068924141, 181.25820028933742, 181.75269105162818, 182.25259149284537, 182.75803429148607, 183.26917509264084, 183.78619535556115, 184.3093054686544, 184.8387481557665, 185.37480220032012, 185.91778651701864, 186.46806460448008, 187.0260494164243, 187.59228465400176, 188.16709219200672, 188.75021875349847, 189.34134210284435, 189.94008432899963, 190.54600678277743, 191.15860469638994, 191.777301483975, 192.4014427258974, 193.03028984457544, 193.66301348555274, 194.2986866246289, 194.9362774302185, 195.57629039815436, 196.22565555989672, 196.88533665499511, 197.55537076211073, 198.2357837859946, 198.92658951597613, 199.62778863361655, 200.33936766832025, 201.06129789985252, 201.7935342069048, 202.53601386107266, 203.28865526587535, 204.05135664074913, 204.8239946502995, 205.60642297949423, 206.39847085593505, 207.1999415208542, 208.01061065105455, 208.8302247346486, 209.65849940415723, 210.49511773130664, 211.33955058827024, 212.19137871991623, 213.05088861522046, 213.91845436576918, 214.7945283057431, 215.67965031270995, 216.57445796878199, 217.47969766968188, 218.39623678259866, 219.32507696965757, 220.267368812884, 221.2244278993604, 222.19775255260498, 223.189043428982, 224.2002252373196, 225.23347088725728, 226.27522578286306, 227.2806651262941, 228.28634480316813, 229.31519422685955, 230.3668254431076, 231.44071735575946, 232.53619961363216, 233.65243507284117, 234.78840077547613, 235.9428673986212, 237.11437714559818, 238.30122007487927, 239.50140889242348, 240.71265227137, 241.9323268103024, 243.15744779894473, 244.38758573022517, 245.63498110908728, 246.90078947838208, 248.18411747327661, 249.48391708823675, 250.79897107002478, 252.12787739745121, 253.4690328607308, 254.82061577070743, 256.1805678493327, 257.54657537808214, 258.91604971095677, 260.28610729380057, 261.6550376309076, 263.03597624598774, 264.4330474690216, 265.8466066929344, 267.2770718631613, 268.7249318032739, 270.190755372072, 271.6752015296685, 273.17903039907696, 274.7031154202692, 276.248456705892, 277.8161957221496, 279.40763143520184, 281.02423808327075, 282.6676847580983, 284.3398570071756, 286.04288070112574, 287.77914844984195, 289.5513488977375, 291.36249928432574, 293.2159817232642, 295.1051023125727, 296.8772504688248, 298.5256476104144, 300.20484366222104, 301.9150347394936, 303.6563710832293, 305.42895149186893, 307.23281726923926, 309.067945655915, 310.9342427102163, 312.8315356043277, 314.75956430059404, 316.71797257299295, 318.7062983391995, 320.7239632696361, 322.77026164158184, 324.84434840891066, 326.94522646152404, 329.0717330531786, 331.22252538241935, 333.3960653188879, 335.5906032766578, 337.8041612476789, 340.0345150221887, 342.279175639342, 344.53537013062225, 346.80002164114063, 349.069729039969, 351.34074616049594, 353.61024693998485, 355.8945782006609, 358.19960239176663, 360.52485200595027, 362.8698509104092, 365.23411874192857, 367.6171759514127, 370.0185495537225, 372.4377796418044, 374.8744267274487, 377.3280799745697, 379.798366394732, 382.284961078808, 384.7875985432434, 387.30608527454456, 389.84031356141384, 392.3902767106367, 394.9560857505648, 397.53798773512443, 400.1363857719964, 402.751860911378, 405.38516292278916, 408.03641326348503, 410.7049486246558, 413.3900735765322, 416.09110508266593, 418.8073809367558, 421.53826920049687, 424.28317871583636, 427.0415707687891, 429.81297198613146, 432.5969885509426, 435.39332182828224, 438.20178549843746, 441.0223243023806, 443.8550345126398, 446.70018625299844, 449.55829628045615, 452.4299386811641, 455.3144499850986, 458.2109926323017, 461.1187635661558, 464.03700583440195, 466.96502140682014, 469.90218528950675, 472.8479610197967, 475.8019176306046, 478.76374817853053, 481.7332899366905, 484.71054636120726, 487.69573008184216, 490.68935694157017, 493.6908920299535, 496.6995214444763, 499.71450282785173, 502.7351807502112, 505.7610035163638, 508.7915414849509, 511.82650699192857, 514.8657759775684, 517.9094114244249, 520.9577051981322, 524.0126905247964, 527.07436096098, 530.1409816124325, 533.2107637391762, 536.2818691540731, 539.3524153687965, 542.420481539479, 545.4841152647875, 548.5413402893623, 551.5905858956103, 554.6335596807032, 557.6707043014944, 560.7021703544234, 563.7283756393865, 566.7500365957466, 569.7682020316194, 572.7842893139539, 575.8001232142373, 578.8172858763618, 581.8344288572687, 584.8492103777572, 587.8591773331084, 590.8617651047884, 593.8542977426725, 596.8339886697078, 599.7982144540123, 602.7484949393121, 605.6860534831912, 608.6115574475991, 611.5260093066216, 614.430781340813, 617.3276527004047, 620.2190844588921, 623.1071589249967, 625.9885803040779, 628.8590524724771, 631.7139435627381, 634.5482693204214, 637.3568816458472, 640.1447319803557, 642.9145595659688, 645.6640589926283, 648.3908886940444, 651.0926773532881, 653.7671066107736, 656.4139842418435, 659.0356182721303, 661.6349514731683, 664.2155337149259, 666.78157578227, 669.3400494707109, 671.8878779624046, 674.4146781205902, 676.909024314025, 679.3584097866647, 681.7652472257631, 684.1378609815754, 686.4750170115915, 688.775609890333, 691.0425861489302, 693.3128960666193, 695.5905309293926, 697.8681546633555, 700.1376632354961, 702.3901326443655, 704.6157662749041, 706.8038422254879, 708.9426613530579, 711.0390841808661, 713.1160168442483, 715.168505327448, 717.1907808247228, 719.1766293092828, 721.1193702343226, 723.0118356267411, 724.8468687124915, 726.630072579418, 728.3687314937391, 730.0678027032509, 731.732997612997, 733.3708318635927, 734.9886788102446, 736.5938279359171, 738.1816422271786, 739.7486081614052, 741.2932109982384, 742.8139053096857, 744.3091166353628, 745.7774003807632, 747.2363210670015, 748.6875599182968, 750.1140228623063, 751.4969654945778, 752.8159022134448, 754.0505043323615, 755.2161812847694, 756.3305305696803, 757.4052182080203, 758.4532386970593, 759.488992612845, 760.5429137479548, 761.6114430799091, 762.6494934892866, 763.6075819948995, 764.4316744958218, 765.1640997078676, 765.8952981787528, 766.624117686569, 767.3492365317405, 768.0692331447501, 768.7825805475775, 769.4876406040246, 770.182658062054, 770.865754393228, 771.5349214365889, 772.1880148568715, 772.8227474298493, 773.4366821708885, 774.0272253264719, 774.5916192525622, 775.1269352082737, 775.6300660983894, 776.0977192038802, 776.5264089457397, 776.9124497341847, 777.2523515599872, 777.5574370721394, 777.8342859430613, 778.0827025082864, 778.3025530542542, 778.4937706272877, 778.6563600462209, 778.7904031244472, 778.8960641077296, 778.9735953347974, 779.0233431286047, 779.0457539271265, 779.0413806637766, 779.0108894089511, 778.9550662858652, 778.8748246758158, 778.7712185753843, 778.6466044888025, 778.5026854283573, 778.3401699378344, 778.159866036353, 777.9626870601023, 777.7496577743785, 777.5219207742969, 777.2807431949639, 777.0275237546159, 776.7638001573488, 776.4912568855956, 776.2117334165403, 775.9272329012168, 775.6294372962321, 775.3042762984354, 774.9521334529408, 774.5736124228853, 774.1694184868942, 773.7403642448093, 773.2873755469091, 772.811497660466, 772.3139016896062, 771.7958912668531, 771.2589095375229, 770.7045464612946, 770.1345464589156, 769.5508164360834, 768.9554342212583, 768.3506574594337, 767.7389330099484, 767.1229069032436, 766.5054349192342, 765.889593858768, 765.2785133103054, 764.6597915180861, 764.0246711209322, 763.3738963816597, 762.7082916519281, 762.028765582313, 761.3363155210429, 760.632032114751, 759.9171041262528, 759.1928234862082, 758.4605905976479, 757.721919914697, 756.978445819515, 756.2319288244771, 755.4842621300156, 754.7374785723721, 753.9937579998079],
    'x2':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y2':[130.4716889836504, 130.48550864146887, 130.50019754501824, 130.51581300679257, 130.5324152563048, 130.55006732404885, 130.56883484464868, 130.5887857600595, 130.60998990054736, 130.63251841780746, 130.6564430410886, 130.6818351237163, 130.7087644441774, 130.73729772326163, 130.7674968170779, 130.79941654564624, 130.83310211892726, 130.86858612747437, 130.90588507442288, 130.94499544044217, 130.98588929481036, 131.02850949513228, 131.07276455639325, 131.11852331754605, 131.16560959041098, 131.2137970398917, 131.2628046133471, 131.3122929053785, 131.36186190498637, 131.41105061540316, 131.46012439744652, 131.51100527531273, 131.56382592598715, 131.6185841261428, 131.67526333712215, 131.73383062021674, 131.7942344480839, 131.85640244387346, 131.92023908995907, 131.98562345959834, 132.0524070371089, 132.12041170482163, 132.18942798757038, 132.25921365702402, 132.32949280780588, 132.3999555239588, 132.4702582566521, 132.54002503079508, 132.60884958816473, 132.6762985567003, 132.74191570901874, 132.80706028395997, 132.8739646274283, 132.94264947585947, 133.01312057406898, 133.0853785893979, 133.1594186257334, 133.2352297300408, 133.31279439694435, 133.39208807793122, 133.47307870285562, 133.55572622257583, 133.63998218274864, 133.72578934000632, 133.81308133292762, 133.90178242134547, 133.99180730857765, 134.08306106207365, 134.1754391486946, 134.26882760133634, 134.36310333381215, 134.45813462078667, 134.55378175904914, 134.64989792549488, 134.74633024582556, 134.84292108616947, 134.93950957757374, 135.03593338066545, 135.1320306947801, 135.22764251260602, 135.32294675925877, 135.41902194419353, 135.51591236007772, 135.61355892035127, 135.71190433342957, 135.8108943080611, 135.91047890917076, 136.01061407257455, 136.11126328716844, 136.21239945363038, 136.31400692941529, 136.41608377097987, 136.5186441858826, 136.6217212098191, 136.7253696269692, 136.8296691564754, 136.93472793371657, 137.04068632262187, 137.14772110498907, 137.256050105131, 137.36593732379845, 137.47728934405043, 137.5895439404356, 137.70266494716526, 137.81663175957962, 137.93143064050378, 138.04705615906593, 138.16351277662153, 138.28081659063056, 138.39899724873058, 138.51810004703933, 138.6381882290152, 138.75934550411503, 138.88167880916833, 139.00532134001097, 139.1304358867024, 139.25721851285599, 139.38579214421037, 139.51597291200497, 139.64768480521883, 139.78085409760348, 139.91539876419984, 140.05122808978618, 140.18824228702505, 140.32633212855433, 140.46537859771087, 140.60525256302137, 140.74581448204418, 140.88691414058243, 141.02839043371233, 141.17044924765668, 141.31473978822368, 141.46148726283383, 141.61070132878643, 141.76238941213043, 141.91655660305608, 142.07320555760282, 142.23233640741105, 142.39394667943714, 142.55803122775566, 142.72458217978806, 142.8935888995248, 143.0650379705473, 143.23891320190597, 143.41519566017126, 143.59386373124687, 143.77489321581353, 143.95825746256216, 144.14392754367324, 144.3318724773052, 144.52205950216805, 144.7142871451409, 144.90821526502998, 145.10391681166394, 145.30150277483904, 145.50111236817168, 145.70291666197375, 145.90712257267867, 146.11397725104794, 146.32377291949527, 146.53685221879437, 146.7536141365935, 146.97452060503974, 147.20010387303606, 147.43097478098835, 147.66783209331402, 147.91147307771266, 148.15927783784113, 148.39785664572915, 148.6341946827205, 148.87609522454574, 149.12347777037562, 149.37622848801917, 149.63419595992485, 149.8971865463854, 150.16495935241304, 150.437220789316, 150.7136187280904, 150.99373624962968, 151.27708500675274, 151.56309822549153, 151.8511233882998, 152.14041466018767, 152.43093709230172, 152.72609834852773, 153.0261687875293, 153.3308359340097, 153.63972912977837, 153.95241363615813, 154.26838439146675, 154.58705944850922, 154.90777312979012, 155.2297689534258, 155.55219240074064, 155.87408361748973, 156.194370164713, 156.51237549997222, 156.83256324370404, 157.15628156902252, 157.4835665242771, 157.81446707892826, 158.14904722317908, 158.48738828471988, 158.82959148144897, 159.17578073106702, 159.52610574083127, 159.88074540357866, 160.23991152946866, 160.60385294686796, 160.972860010528, 161.34726956084515, 161.7274703847351, 162.11390923671473, 162.50709748844756, 162.90761848659696, 163.3161357127538, 163.73340185595126, 164.15740931984556, 164.54741105817277, 164.9022991710318, 165.26347690098675, 165.63091983300347, 166.00458656989284, 166.38441695235906, 166.770330141735, 167.1622225586127, 167.55996567086075, 167.96340362495067, 168.37235071512575, 168.78658868576053, 169.20586386332138, 169.62988411567895, 170.05831563818927, 170.4907795679932, 170.9268484304387, 171.36604242445247, 171.80782555713836, 172.2516016419098, 172.69671017913404, 173.1424221436259, 173.58793570943513, 174.03237194926206, 174.47477055355054, 174.91408562285886, 175.3491815965037, 175.77882939067757, 176.20218628552033, 176.62555885056614, 177.05110371561398, 177.47855943253373, 177.9076477013958, 178.33807300735106, 178.76952230083384, 179.2016647274593, 179.63415141435013, 180.06661531998182, 180.49867115496178, 180.92991538145768, 181.35992629925107, 181.78826422660867, 182.2144717843263, 182.63807429139675, 183.05858028078316, 183.47548214371895, 183.8882569108102, 184.29636717796592, 184.69926218482135, 185.09733045283687, 185.49526297328703, 185.89342815110047, 186.291385482773, 186.6886616498362, 187.08474901355646, 187.4791041098786, 187.87114615511427, 188.2602555743774, 188.64577256638697, 189.02699571999392, 189.40318069962768, 189.77353901880727, 190.13723692289338, 190.4933944043734, 190.8410843761355, 191.18009320800516, 191.5165251565914, 191.85165498578496, 192.18513379072252, 192.51659405875006, 192.84564916850908, 193.17189291282475, 193.49489905029327, 193.81422089086274, 194.12939092110977, 194.4399204753256, 194.74529945894201, 195.04499613123883, 195.33839315660572, 195.62353614015882, 195.89990369872675, 196.16781023461593, 196.42765646795974, 196.67993545720824, 196.92523887356552, 197.16426356864926, 197.39781848540463, 197.6268319749979, 197.85235959734368, 198.07554911884148, 198.2922530478311, 198.49929387910836, 198.69703657243014, 198.88592954556432, 199.06650984905434, 199.2394085346381, 199.40535625295442, 199.5651891257145, 199.71985494866428, 199.86987082967295, 200.01205862046749, 200.1459184723061, 200.27176176907466, 200.38996195895402, 200.50095821145672, 200.60525921222347, 200.70344711719127, 200.79618169307622, 200.8830671154398, 200.96300362171883, 201.03603686114448, 201.10224355658386, 201.16172974996732, 201.2146326474161, 201.2611225213768, 201.3012882094286, 201.33392953432815, 201.3590980486893, 201.37739746284853, 201.38950431347226, 201.3961715301286, 201.39823220174276, 201.39649367317864, 201.3906457689497, 201.38020884213688, 201.36477841215512, 201.3439274666676, 201.3172057022471, 201.28414861877698, 201.24490191163824, 201.19990236932048, 201.1494480267594, 201.0938733064724, 201.03355077495027, 200.9689004090347, 200.90021860757585, 200.82730815640053, 200.749893909988, 200.66768722000901, 200.5803860247182, 200.4884044169681, 200.39216233428613, 200.29145741173605, 200.18607920685025, 200.07580998549585, 199.9609983887456, 199.8419507186584, 199.718505407967, 199.59049553009618, 199.45798904169885, 199.32316101433992, 199.18621587269575, 199.04667972032047, 198.90404646597094, 198.75777648892267, 198.60729532811487, 198.451992409951, 198.29121983179365, 198.12555256472595, 197.95664482071948, 197.78439205780677, 197.60865908448613, 197.42930498664512, 197.24618296524667, 197.05914017680675, 196.86808685276375, 196.67435783265228, 196.47868567593005, 196.2813024974296, 196.08245667515249, 195.88241352235974, 195.68145599521512, 195.479635540897, 195.27479844293342, 195.0669403258671, 194.85680963510515, 194.64520563085242, 194.43298038176505, 194.22103677816594, 194.00944171684324, 193.79740771116442, 193.58431030316441, 193.3694835958549, 193.15221857266968, 192.93181198683493, 192.7086416807383, 192.48352110802296, 192.25717071150711, 192.03035647296522, 191.80389175216092, 191.57743270251945, 191.35034417397833, 191.12339972250362, 190.89742245908027, 190.67328469573695, 190.44995689606938, 190.22564202684165, 190.00041417582162, 189.77435289687168, 189.5475418617665, 189.32006900333593, 189.09202666431602, 188.86351175235205, 188.6346259016451, 188.40547564178434, 188.17617257436734, 187.94683355807027, 187.7175809029039, 187.4885425744642, 187.2598524090749, 187.0316503408116, 186.80408264150026, 186.57730217489944, 186.3514686664008, 186.12674898972259, 185.90329009156085, 185.68026115145065, 185.45725320925666, 185.23434075860288, 185.01160103276356, 184.78911409450097, 184.56696293037888, 184.3452335498977, 184.12401508983407, 183.9033999241961, 183.6834837802466, 183.46436586108354, 183.24614897531384, 183.02893967440235, 182.81284839833285, 182.5979896302742, 182.38447773983177, 182.17148764343136, 181.95847840330595, 181.74566235127065, 181.53326290192572, 181.32151500502997, 181.1106656298032, 180.90097428501275, 180.69271357916685, 180.48616982566506, 180.28164369834536, 180.07945094353005, 179.87992315541982, 179.68340862252452, 179.48889869319189, 179.29458541509536, 179.10051890265942, 178.90676771990778, 178.71340282267036, 178.5204976393659, 178.3281281560881, 178.13637300632828, 177.94531356569874, 177.75503405205043, 177.56562163141416, 177.3771665302305, 177.18976215437692, 177.00350521554216, 176.81849586554983, 176.63483783928538, 176.45263860693902, 176.2720095363434, 176.093066066254, 175.91592789149945, 175.74070746439327, 175.56654092158215, 175.39292937388512, 175.22001767116933, 175.04795763217925, 174.8769083505874, 174.70703652200797, 174.53851679412287, 174.37153214230665, 174.2062742734051, 174.04294406061783, 173.88175201276977, 173.72291878162676, 173.56667571132965, 173.41326543448804, 173.26294252000216, 173.11597417827454],
    'x3':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y3':[130.3488579912518, 130.35599051935733, 130.3635225121915, 130.37147589099283, 130.37987320034645, 130.3887374831137, 130.398092118286, 130.40796061541826, 130.41836635865144, 130.42933229274198, 130.44088054302603, 130.4530319609251, 130.46580558653167, 130.47921802010544, 130.49328269508894, 130.5080090466656, 130.5234015721044, 130.53945878234518, 130.5561720486667, 130.57352435402282, 130.59148896586856, 130.6100280561084, 130.62909130414744, 130.6486145307339, 130.66851842295685, 130.6887074237667, 130.70906887177415, 130.7294724876018, 130.7497703101497, 130.76979718799623, 130.789663523255, 130.8100845943862, 130.83109707637345, 130.8526873932318, 130.87483721089401, 130.89752300815834, 130.92071565868608, 130.94438003482955, 130.9684746457071, 130.99295132351918, 131.01775497353213, 131.0428234043454, 131.06808725588925, 131.0934700429523, 131.11888833178205, 131.14425206631617, 131.1694650587759, 131.1944256565993, 131.2190275939669, 131.24316103147132, 131.2667137818768, 131.29011050132976, 131.3140136011651, 131.33842401334587, 131.3633382557992, 131.3887514313591, 131.41465715462613, 131.44104748517063, 131.4679128689252, 131.49524208980046, 131.52302223374915, 131.55123866768847, 131.5798750358674, 131.60891327642875, 131.63833366106206, 131.66811486076568, 131.698234040832, 131.7286669882329, 131.75938827460953, 131.79037145805913, 131.82158932685954, 131.8530141881808, 131.88461820470368, 131.9163737819062, 131.9482540085966, 131.9802331530811, 132.0122872171753, 132.04439455011956, 132.0765365243762, 132.10869827530095, 132.14091957662464, 132.17336849090407, 132.20604503547716, 132.2389337751197, 132.27202042734493, 132.30529225711192, 132.33873851516623, 132.37235092255028, 132.40612420400024, 132.4400566732086, 132.47415087330043, 132.50841427638153, 132.54286004670294, 132.577507872897, 132.6123848759266, 132.6475266009206, 132.68297810301988, 132.71879513982984, 132.7550454861837, 132.7918103908126, 132.8291861993803, 132.86710943480892, 132.9053308348327, 132.94384306420116, 132.98264574328869, 133.02174147346932, 133.06113634750957, 133.1008405099425, 133.14086877159312, 133.18124128305567, 133.22198427271007, 133.2631308558522, 133.30472192273783, 133.34680711486342, 133.3894459006914, 133.43270876435435, 133.47667852374255, 133.52139409010556, 133.56675197017287, 133.6127264215287, 133.65929431767228, 133.70642908091412, 133.75410043265575, 133.80227413519484, 133.85091172602054, 133.89997024580933, 133.94940196160496, 133.99915408696893, 134.04916850121973, 134.0993814702412, 134.14985439350656, 134.2011532901958, 134.25335879730187, 134.30647747045103, 134.36051524871826, 134.41547742121577, 134.4713685953411, 134.52819266720635, 134.5859527948337, 134.64465137476765, 134.70429002282833, 134.76486955980513, 134.82639000297158, 134.88885056438997, 134.9522496570631, 135.01658491008888, 135.08185319407295, 135.148050658161, 135.21517278016296, 135.28321443135718, 135.3521699576828, 135.42197006468257, 135.49249038580209, 135.5637598265039, 135.63582081186712, 135.7087255133308, 135.78253711577787, 135.85733121306328, 135.93319734728658, 136.0102407099472, 136.0885840265867, 136.16836965076, 136.2497618983586, 136.33294965964853, 136.4181493341545, 136.5056081430551, 136.59560788548197, 136.68719761604004, 136.775608390124, 136.86339482900388, 136.95334350199963, 137.04543250971824, 137.1396278750464, 137.23588192555138, 137.33413152237856, 137.4342961289893, 137.536275714688, 137.63994849008867, 137.74516847458767, 137.85176289967148, 137.95952945663632, 138.06823340318215, 138.17760455051484, 138.28763084821665, 138.3995605037017, 138.51350030345327, 138.62934410197204, 138.7469640688795, 138.8662083827912, 138.98689877781143, 139.10882795037165, 139.2317568390473, 139.35541179592508, 139.47948167516265, 139.60361487269157, 139.72741636063873, 139.8506374640385, 139.97495064309095, 140.1008662409429, 140.22840427340788, 140.35758937238987, 140.48845155978915, 140.62102710645104, 140.75535948397243, 140.89150041801489, 141.0295110527471, 141.1694632371818, 141.31144094551664, 141.45554184518, 141.60187902816907, 141.7505829235122, 141.90180341136423, 142.0557121624415, 142.21250523033348, 142.37240592881923, 142.5356680318385, 142.70257934040782, 142.87221568357856, 143.0287360005602, 143.17222380109442, 143.31851763217426, 143.46762173122556, 143.619533672187, 143.77424358351976, 143.93173329997094, 144.091975444254, 144.2549324348718, 144.4205554164425, 144.5887831091053, 144.75954057390206, 144.93273789146974, 145.10826875195704, 145.28600895482225, 145.4658148181032, 145.64752149789996, 145.83094122021066, 146.01586142893984, 146.20204285588946, 146.38921752088274, 146.57708667288952, 146.76531868615444, 146.95354692890157, 147.1413676262289, 147.3283377433237, 147.51397292013647, 147.69774549413214, 147.87927732323072, 148.06107792940784, 148.24401676909548, 148.42799448504303, 148.61290588334353, 148.79863993935507, 148.98507983606598, 149.17210303823012, 149.359581405712, 149.54738134957736, 149.73536403454239, 149.92338563144645, 150.11129762344262, 150.29894716959808, 150.48617752956469, 150.6728285529142, 150.85873723663207, 151.04373835412483, 151.227665158923, 151.4103501660474, 151.59162601375985, 151.77161101863805, 151.95170025868896, 152.13197507177105, 152.31227335941742, 152.49242337368256, 152.6722434992556, 152.85154205854425, 153.0301171432834, 153.2077564764336, 153.38423730834103, 153.5593263513212, 153.73277975700188, 153.9043431409138, 154.07375165894052, 154.24073014033095, 154.4049932820296, 154.56653252628612, 154.72764838116595, 154.88867176542567, 155.04928823285044, 155.20915411250687, 155.36789477839707, 155.5251029077565, 155.68033674498065, 155.8331183914191, 155.9829321448721, 156.12922291656662, 156.2713947576628, 156.40880953192845, 156.54093650907052, 156.67092376928477, 156.80011992471705, 156.92829791526609, 157.05521417646605, 157.1806078638419, 157.30420007872246, 157.42569310184655, 157.5447696420768, 157.66109210860142, 157.77430191615449, 157.88402155829124, 157.99027972362197, 158.09333415775856, 158.1933092256978, 158.29036006062486, 158.38467468871264, 158.4764762495834, 158.56602532576457, 158.65362239781481, 158.73961044573343, 158.82394404970398, 158.903834884195, 158.97897498548056, 159.0497367655889, 159.11655063299338, 159.17990805779206, 159.24036481228433, 159.29854443874052, 159.35514200772243, 159.40932366000365, 159.45955093722696, 159.50608373552927, 159.54922698076962, 159.58932746369672, 159.62677603916356, 159.6620099546057, 159.69541237756286, 159.72604916356298, 159.7536681392333, 159.77841860151457, 159.8004727656539, 159.82002701154076, 159.83730318285268, 159.8524980211628, 159.8653674006553, 159.87575705477207, 159.88357111628065, 159.8887123870764, 159.89108243610715, 159.8905795088913, 159.8870491220165, 159.88054134446446, 159.87120900493747, 159.85922493686988, 159.8447829359535, 159.8280537075673, 159.80879050149605, 159.78705118188387, 159.76302681087773, 159.73692891042668, 159.70899052447413, 159.67951284050366, 159.64833797214544, 159.6150294132917, 159.5791200228905, 159.54011083497764, 159.4976278507054, 159.45205633162027, 159.40404077091188, 159.35427932514895, 159.30352002980555, 159.2521747754387, 159.20006163797066, 159.14693159777488, 159.09251808854205, 159.03653624393075, 158.97868216219197, 158.918632198784, 158.85604229852152, 158.79091401600212, 158.7237436449604, 158.65465643980858, 158.5837822756354, 158.5112625232159, 158.43725049552015, 158.36191191312128, 158.28542630454444, 158.2079331837221, 158.12939504206332, 158.04973974672038, 157.96889109507, 157.88676866749262, 157.80328768050103, 157.71834306251873, 157.63179519498604, 157.5438614751697, 157.45484571494836, 157.36507252229967, 157.2748880925171, 157.18466168381673, 157.09471012818642, 157.00479945325134, 156.91450255187578, 156.823364101168, 156.73089943506898, 156.63663231230373, 156.5408633646484, 156.44409786630837, 156.34674523347536, 156.24924068777713, 156.15204628554366, 156.0553197143895, 155.95878433980988, 155.86233166634148, 155.76584603434785, 155.66920376665433, 155.57217959018385, 155.47464271402123, 155.37662707602948, 155.27816859399186, 155.17930513097062, 155.08007656140052, 154.98052483966427, 154.8806940713551, 154.78063058745494, 154.6803830216827, 154.58000239129584, 154.4795421816603, 154.37905843493863, 154.2786098432855, 154.17825784698195, 154.0780667379875, 153.97810376944193, 153.87843927170601, 153.7791467755955, 153.68030314353277, 153.5819764610862, 153.48379740034736, 153.3855850365031, 153.28737478810447, 153.189203458392, 153.09110928102865, 152.9931319681139, 152.89531276066893, 152.79769448180173, 152.7003215927795, 152.6032402522583, 152.5064983789439, 152.41014571798183, 152.31423391140657, 152.2188165730077, 152.1239493680083, 152.02968815119195, 151.93566436570725, 151.8416326185989, 151.74768559473927, 151.65392069593196, 151.56044022758158, 151.46735159895158, 151.37476753870655, 151.2828063276427, 151.19159205074126, 151.1012548709411, 151.0119313273175, 150.92376466068475, 150.83690517000971, 150.75092915323017, 150.66507242985324, 150.57935514833147, 150.49380511895384, 150.4084510211966, 150.32332243120158, 150.23844985076397, 150.15386473794632, 150.06959953944715, 149.98568772486118, 149.90216382298178, 149.8190634603072, 149.73642340192688, 149.65428159497856, 149.5726772148838, 149.49165071458674, 149.41124387704085, 149.33149987120987, 149.25246331187253, 149.17418032354584, 149.0966937259774, 149.01964093736856, 148.94281950307104, 148.86629754116004, 148.79014644127503, 148.71444100634395, 148.6392596045343, 148.5646843325455, 148.49080119148678, 148.41770027672598, 148.3454759832554, 148.27422722829908, 148.20405769308738, 148.13507608595015, 148.06739642913482, 148.00113837204165, 147.936427533894],
    'x4':[0.1, 0.1013939457675292, 0.10280732238308653, 0.10424040070215566, 0.10569345535579884, 0.10716676480328635, 0.10866061138545974, 0.11017528137883871, 0.11171106505048242, 0.11326825671361537, 0.11484715478402893, 0.11644806183726861, 0.118071284666619, 0.1197171343418967, 0.1213859262690628, 0.12307798025066652, 0.12479362054713111, 0.1265331759388943, 0.1282969797894148, 0.13008537010905713, 0.13189868961986703, 0.13373728582124964, 0.13560151105656337, 0.137491722580642, 0.13940828262825783, 0.14135155848353956, 0.1433219225503574, 0.1453197524236896, 0.14734543096198352, 0.14939934636052576, 0.15148189222583458, 0.15359346765108975, 0.15573447729261344, 0.15790533144741753, 0.16010644613183178, 0.16233824316122786, 0.16460115023085506, 0.16689560099780243, 0.16922203516410372, 0.17158089856100053, 0.17397264323438016, 0.17639772753140448, 0.1788566161883462, 0.18134978041964953, 0.18387769800823278, 0.1864408533970486, 0.18903973778192215, 0.1916748492056815, 0.19434669265360213, 0.19705578015017994, 0.19980263085725508, 0.2025877711735017, 0.20541173483530648, 0.20827506301905155, 0.21117830444482438, 0.21412201548157295, 0.21710676025372655, 0.22013311074930314, 0.2232016469295234, 0.22631295683995298, 0.22946763672319362, 0.2326662911331459, 0.2359095330508635, 0.23919798400202397, 0.2425322741760353, 0.24591304254680452, 0.24934093699518792, 0.25281661443315007, 0.2563407409296515, 0.2599139918382934, 0.26353705192673943, 0.26721061550794345, 0.27093538657320515, 0.2747120789270812, 0.2785414163241767, 0.2824241326078435, 0.2863609718508116, 0.29035268849778145, 0.29440004751000354, 0.2985038245118731, 0.30266480593956924, 0.30688378919176423, 0.31116158278243616, 0.3154990064958087, 0.3198968915434537, 0.32435608072358113, 0.3288774285825511, 0.3334618015786364, 0.33811007824806844, 0.3428231493733971, 0.34760191815419783, 0.3524473003801586, 0.35736022460657874, 0.362341632332315, 0.3673924781802075, 0.37251373008002114, 0.37770636945393676, 0.3829713914046281, 0.3883098049059606, 0.39372263299634813, 0.39921091297480527, 0.4047756965997321, 0.4104180502904709, 0.4161390553316708, 0.42193980808050263, 0.4278214201767616, 0.4337850187558989, 0.4398317466650225, 0.4459627626819093, 0.4521792417370701, 0.4584823751389096, 0.4648733708020258, 0.47135345347869095, 0.4779238649935599, 0.4845858644816496, 0.4913407286296363, 0.49818975192051623, 0.5051342468816765, 0.5121755443364241, 0.5193149936590212, 0.5265539630332757, 0.5338938397147353, 0.541336030296538, 0.5488819609789671, 0.5565330778427647, 0.564290847126254, 0.572156755506325, 0.5801323103833378, 0.5882190401699957, 0.5964184945842462, 0.6047322449462648, 0.6131618844795775, 0.6217090286163829, 0.6303753153071279, 0.6391624053344004, 0.6480719826311971, 0.6571057546036272, 0.6662654524581153, 0.6755528315331643, 0.6849696716357445, 0.6945177773823696, 0.7041989785449291, 0.7140151304013399, 0.7239681140910875, 0.7340598369757212, 0.744292233004376, 0.754667263084389, 0.7651869154570824, 0.7758532060787836, 0.7866681790071584, 0.7976339067929277, 0.8087524908770455, 0.8200260619934131, 0.8314567805772066, 0.8430468371788972, 0.8547984528840412, 0.8667138797389231, 0.878795401182132, 0.8910453324821516, 0.903466021181053, 0.9160598475443708, 0.92882922501725, 0.9417766006869521, 0.9549044557518083, 0.9682153059967084, 0.9817117022752193, 0.9953962309984237, 1.0092715146305713, 1.0233402121916417, 1.0376050197669118, 1.052068671023623, 1.0667339377348577, 1.08160363031071, 1.0966805983368686, 1.111967731120699, 1.1274679582449467, 1.1431842501291498, 1.1591196185988857, 1.1752771174629453, 1.1916598430985594, 1.2082709350447765, 1.225113576604119, 1.2421909954526174, 1.2595064642583578, 1.277063301308644, 1.2948648711459043, 1.3129145852124653, 1.3312159025043078, 1.3497723302339424, 1.3685874245025185, 1.3876647909813085, 1.407008085602685, 1.4266210152607377, 1.4465073385216465, 1.4666708663439685, 1.4871154628089538, 1.5078450458610517, 1.5288635880587302, 1.5501751173357705, 1.5717837177731628, 1.5936935303817752, 1.6159087538959183, 1.638433645577984, 1.661272522034293, 1.6844297600423153, 1.7079097973894277, 1.7317171337233537, 1.7558563314144688, 1.7803320164301137, 1.8051488792211092, 1.8303116756206121, 1.855825227755519, 1.8816944249705556, 1.9079242247652661, 1.9345196537440452, 1.9614858085794313, 1.9888278569888098, 2.0165510387247476, 2.0446606665791167, 2.0731621274012313, 2.1020608831301586, 2.1313624718414377, 2.1610725088083775, 2.1911966875781483, 2.2217407810628846, 2.2527106426459804, 2.2841122073038242, 2.3159514927431535, 2.3482346005542762, 2.3809677173803583, 2.414157116103019, 2.4478091570444414, 2.481930289186255, 2.5165270514053915, 2.5516060737271853, 2.5871740785959227, 2.6232378821631235, 2.6598043955937585, 2.6968806263906924, 2.7344736797375813, 2.7725907598604826, 2.811239171408464, 2.8504263208534346, 2.89015971790951, 2.9304469769721426, 2.971295818577334, 3.0127140708811644, 3.0547096711599697, 3.0972906673314085, 3.140465219496752, 3.184241601504653, 3.228628202536732, 3.273633528715246, 3.31926620473319, 3.3655349755070945, 3.4124487078528913, 3.4600163921851106, 3.5082471442397907, 3.557150206821386, 3.606734951574028, 3.6570108807774915, 3.7079876291681706, 3.7596749657854676, 3.812082795843888, 3.8652211626312636, 3.919100249433404, 3.973730381485608, 4.029122027951348, 4.0852858039285636, 4.1422324724838955, 4.199972946715306, 4.258518291843415, 4.3178797273320235, 4.378068629038169, 4.439096531392171, 4.5009751296080465, 4.5637162819247585, 4.627332011878691, 4.691834510607796, 4.7572361391878895, 4.823549431001467, 4.890787094139593, 4.958962013837215, 5.02808725494248, 5.098176064420425, 5.169241873891601, 5.241298302206059, 5.314359158053241, 5.388438442608224, 5.463550352214878, 5.539709281106403, 5.61692982416381, 5.695226779712825, 5.77461515235982, 5.855110155867241, 5.936727216069123, 6.019481973827275, 6.1033902880286215, 6.188468238624386, 6.274732129711578, 6.362198492657488, 6.450884089267693, 6.540805914998256, 6.631981202212672, 6.72442742348425, 6.81816229494448, 6.913203779678131, 7.009570091165622, 7.107279696773419, 7.206351321293052, 7.3068039505295035, 7.408656834939563, 7.511929493320965, 7.616641716552892, 7.7228135713886426, 7.8304654043011865, 7.93961784538228, 8.050291812295981, 8.162508514287229, 8.276289456246348, 8.391656442830158, 8.508631582640582, 8.62723729246145, 8.74749630155442, 8.869431656014708, 8.993066723187622, 9.118425196146571, 9.245531098233576, 9.374408787662995, 9.505082962189512, 9.637578663841088, 9.771921283717997, 9.908136566858671, 10.046250617173413, 10.186289902446875, 10.328281259410286, 10.472251898884343, 10.618229410993846, 10.766241770454933, 10.916317341936148, 11.06848488549412, 11.222773562085083, 11.37921293915315, 11.537832996296608, 11.69866413101307, 11.861737164524792, 12.02708334768512, 12.194734366967383, 12.36472235053715, 12.537079874409196, 12.711839968690288, 12.889036123908928, 13.068702297433463, 13.250872919979525, 13.435582902208262, 13.622867641416468, 13.812763028320095, 14.005305453932197, 14.200531816536833, 14.398479528760081, 14.599186524739787, 14.802691267395087, 15.009032755797366, 15.21825053264387, 15.430384691835645, 15.645475886160957, 15.863565335085896, 16.084694832653568, 16.308906755493325, 16.536244070941805, 16.766750345276993, 17.000469752067183, 17.237447080636198, 17.47772774464681, 17.721357790803584, 17.96838390767721, 18.21885343465167, 18.472814370996343, 18.730315385064365, 18.991405823619356, 19.256135721291987, 19.52455581016861, 19.796717529513327, 20.072673035625705, 20.352475211835777, 20.636177678638585, 20.92383480396977, 21.2155017136245, 21.511234301821673, 21.811089241915198, 22.115123997254887, 22.42339683219845, 22.735966823277174, 23.052893870517085, 23.37423870891815, 23.70006292009328, 24.030428944069694, 24.36540009125466, 24.705040554568253, 25.049415421745024, 25.398590687807264, 25.752633267712014, 26.111611009174595, 26.475592705670667, 26.844648109619627, 27.218847945751797, 27.598263924661804, 27.98296875655116, 28.373036165162116, 28.768540901905943, 29.16955876018796, 29.576166589932537, 29.988442312310276, 30.406464934670687, 30.83031456568277, 31.260072430687035, 31.695820887261153, 32.13764344100279, 32.585624761532266, 33.03985069871858, 33.50040829913133, 33.96738582272206, 34.440872759738234, 34.920959847872716, 35.4077390896527, 35.90130377007068, 36.401748474461414, 36.909169106627786, 37.42366290721981, 37.94532847236938, 38.474265772585056, 39.01057617190993, 39.55436244734702, 40.10572880855496, 40.66478091781858, 41.231625910297524, 41.80637241455758, 42.38913057338779, 42.98001206490799, 43.5791301239703, 44.18659956385942, 44.802536798294895, 45.42705986374043, 46.06028844202403, 46.70234388327335, 47.35334922917116, 48.0134292365345, 48.68271040122284, 49.36132098237917, 50.049391027009534, 50.74705239490466, 51.454438783909296, 52.17168575554349, 52.89893076098151, 53.6363131673924, 54.38397428464801, 55.14205739240302, 55.91070776755293, 56.69007271207434, 57.480301581253514, 58.28154581230846, 59.09395895340971, 59.91769669310619, 60.75291689016071, 61.599779603801686, 62.45844712439618, 63.32908400455115, 64.21185709064758, 65.10693555481461, 66.0144909273489, 66.93469712958661, 67.86773050723295, 68.8137698641567, 69.77299649665538, 70.74559422819878, 71.73174944465613, 72.73165113001454, 73.74549090259553, 74.77346305177588, 75.8157645752211, 76.87259521663728, 77.94415750404951, 79.03065678861348, 80.13230128396887, 81.24930210614048, 82.3818733139961, 83.53023195026779, 84.69459808314585, 85.87519484845171, 87.07224849239923, 88.2859884149515, 89.51664721378302, 90.76446072885356, 92.0296680876042, 93.3125117507825, 94.6132375589077, 95.93209477938241, 97.26933615426168, 98.62521794868785, 100.0],
    'y4':[130.1898031723607, 130.18989201481983, 130.18998811701127, 130.1900921749944, 130.19020495624005, 130.1903273064289, 130.1904601565696, 130.1906045303176, 130.19076155131538, 130.19093245029165, 130.1911185715511, 130.19132137834754, 130.19154245645555, 130.1917835150333, 130.19204638359187, 130.19233300355046, 130.19264541245687, 130.19298571849333, 130.19335606237945, 130.1937585632569, 130.1941952446474, 130.19466793620126, 130.19517814683263, 130.19572690515682, 130.19631456415652, 130.19694056902122, 130.19760319047367, 130.19829923095753, 130.1990237180198, 130.1997696080302, 130.20054127010806, 130.20137399222446, 130.20227497415644, 130.2032496057102, 130.20430347580134, 130.20544229968837, 130.2066718167755, 130.20799765212246, 130.2094251340217, 130.21095905948755, 130.2126033994628, 130.2143609362782, 130.21623282777966, 130.21821809601977, 130.22031304399823, 130.22251061211387, 130.22479969711267, 130.22716447042458, 130.22958374938145, 130.23203049259118, 130.2344715073396, 130.2369655307447, 130.2396329802938, 130.242487615716, 130.24554358495024, 130.2488159793637, 130.2523208468317, 130.2560751896702, 130.2600969427543, 130.26440492621347, 130.26901876603827, 130.27395877477636, 130.27924578326676, 130.28490091310707, 130.2909452783443, 130.29739960383614, 130.30428374699883, 130.311616109447, 130.31941292560458, 130.32768741705357, 130.3364488045739, 130.34570117495298, 130.3554422071463, 130.3656617726741, 130.37634043852958, 130.38744791742897, 130.3989415296593, 130.41076476226598, 130.42284603338857, 130.4350977899254, 130.44754212398755, 130.46057558534656, 130.47425357597496, 130.48859254678436, 130.50360695869514, 130.51930898124073, 130.53570821206554, 130.55281143382322, 130.57062242816676, 130.58914186976043, 130.60836732641084, 130.62829339437135, 130.64891200048334, 130.6702129049559, 130.69218444018273, 130.7148145220542, 130.73809197087834, 130.76200817957707, 130.78655916780232, 130.81174806283556, 130.83758805276034, 130.8641838628081, 130.89168143450127, 130.92007840675154, 130.94936676681377, 130.97953533927733, 131.01057012735097, 131.04245483057576, 131.07517156610132, 131.10870182143412, 131.14302766709113, 131.17813325801268, 131.2140066531649, 131.25064198387622, 131.28804200366145, 131.3262210563347, 131.36520850609395, 131.40513211048494, 131.44620935512137, 131.48841322676566, 131.53169266002547, 131.57598214219743, 131.62120020760403, 131.66724792982816, 131.71400744833025, 131.7613405738454, 131.8090875251941, 131.85706585836547, 131.90506965649354, 131.95286905607745, 132.0005257240218, 132.04934516488282, 132.09951028253698, 132.15102623672823, 132.20389435075788, 132.2581117602626, 132.31367106288872, 132.3705599743071, 132.42876099691514, 132.48825110851521, 132.54900147922797, 132.61097722587553, 132.6741372140261, 132.73843391880428, 132.80381335640587, 132.8702150989773, 132.93757238609152, 133.00581234643553, 133.07485634348382, 133.1446204588303, 133.21501612646543, 133.28601462045742, 133.3577008702582, 133.43007050669897, 133.50312899490973, 133.57689877996913, 133.65142259844495, 133.72676714650783, 133.8030271467795, 133.8803298689921, 133.95884017674916, 134.0387661953527, 134.12036572528731, 134.20395356448316, 134.28990995251434, 134.37869041492561, 134.4708373707023, 134.56483768498757, 134.65245856345206, 134.73779128700195, 134.82557306751806, 134.91572932660418, 135.00815712720012, 135.1027209673077, 135.19924818702395, 135.29752400073548, 135.39728618301098, 135.49821945810885, 135.59994966976106, 135.70203784058668, 135.803974269534, 135.90517286125828, 136.0049659329587, 136.10320253475578, 136.20233546479898, 136.30257070434217, 136.4036955662596, 136.50546495013026, 136.60759858590956, 136.70977826476246, 136.8116451111408, 136.91279696302192, 137.01278594142306, 137.1111163056632, 137.20724270703315, 137.3005689700514, 137.39075793824958, 137.48053741083933, 137.57066386261099, 137.66108708319283, 137.7517573667419, 137.84262603409994, 137.93364601284102, 138.02477247816114, 138.11596355757024, 138.20718110237783, 138.29839152902758, 138.38956673344836, 138.48068508176897, 138.57173248100915, 138.66270353373932, 138.75360278122508, 138.8444460402727, 138.93526183991312, 139.02609296525176, 139.11699811732353, 139.20805369969972, 139.2982139096504, 139.3741729157791, 139.43730869399755, 139.50133440242476, 139.56619207389514, 139.63181523670403, 139.69812817484254, 139.76504514452859, 139.832469547463, 139.900293061944, 139.96839473382494, 140.03664003031446, 140.10487986081657, 140.1729495704094, 140.24066791318307, 140.307836014523, 140.37423633354135, 140.43963163925068, 140.50376401673532, 140.56635392251854, 140.62709931152895, 140.6856748615232, 140.7417313244813, 140.79489503830524, 140.84476763603791, 140.8909259936772, 140.93292246135186, 140.97028542598554, 141.00252025639713, 141.02938774473503, 141.0547216402881, 141.07986375263687, 141.1047596249426, 141.12935074640495, 141.1535743392852, 141.1773631411496, 141.20064518315465, 141.2233435653661, 141.2453762302973, 141.26665573606385, 141.28708903078896, 141.30657723015258, 141.3250154002621, 141.3422923483318, 141.358290423993, 141.37288533441668, 141.38594597681524, 141.3973342922962, 141.40690514546932, 141.4145062346518, 141.41988540972557, 141.42246727362502, 141.42225522998504, 141.4193553654696, 141.4138915776828, 141.4060061141313, 141.39586009775923, 141.38363404710475, 141.36952840134458, 141.3537640629571, 141.33658297347588, 141.31824874086536, 141.2990473404803, 141.27928791544355, 141.2593037066784, 141.2394531478868, 141.2198433892866, 141.1982710989776, 141.174276677099, 141.1479986853805, 141.1195908375102, 141.0892222534862, 141.05707771034108, 141.02335789866459, 140.98827969616593, 140.9520764715076, 140.9149984338422, 140.877313045925, 140.83930552141456, 140.8012304336503, 140.76213011489247, 140.72158156412598, 140.67966775988424, 140.63647869363564, 140.5921114898159, 140.54667052562476, 140.5002675531461, 140.45302182681573, 140.40506023977414, 140.3565174732046, 140.30753216427894, 140.2577538945941, 140.20693139553686, 140.15514025379767, 140.1024610357189, 140.04897934881967, 139.99478590468453, 139.93997658505435, 139.8846525132433, 139.82892013331664, 139.77282959784526, 139.71603624325198, 139.65854063402858, 139.60043661618815, 139.54182281886884, 139.48280270001644, 139.42348460066506, 139.36398181069114, 139.30441264927853, 139.24474344631793, 139.18483299575314, 139.12469191233504, 139.0643316649327, 139.0037640934102, 138.94300141100658, 138.8820562065295, 138.8209376529032, 138.75961499904656, 138.6981034550535, 138.6364358398311, 138.57464614034433, 138.51276952127532, 138.45084233536969, 138.38887409215695, 138.32671986491033, 138.26444601524983, 138.20216900625476, 138.14000945803724, 138.07809220608846, 138.0165440291795, 137.95534631036847, 137.89441928338263, 137.83372383085242, 137.77321904739418, 137.71286219915666, 137.6526005665683, 137.59236307262958, 137.53225326372356, 137.47241211859898, 137.41298522116065, 137.35412269499116, 137.29570995753588, 137.23765353118793, 137.18010178672293, 137.12320792166267, 137.0671300480861, 137.01191138062052, 136.95743173793244, 136.90358824668132, 136.8502740159533, 136.79736249559974, 136.74463886826192, 136.69211368241807, 136.63985137047158, 136.58791835688865, 136.5363831132154, 136.48531622560913, 136.43479047678184, 136.38488094446433, 136.33563681250024, 136.28700479088198, 136.23891318916887, 136.19128762453263, 136.14405069512134, 136.09712186330145, 136.05041734951342, 136.00385551634687, 135.95749047151173, 135.91139005604307, 135.86559109534005, 135.82013145203982, 135.77505006105045, 135.73038697001462, 135.68617127365522, 135.64231758692173, 135.59882877607032, 135.55574126171805, 135.513092508545, 135.47092107348416, 135.42926629333152, 135.38810848314523, 135.3474119193133, 135.30717016808785, 135.2673763127372, 135.22802293531467, 135.18910643511114, 135.150671823084, 135.1126950265077, 135.07512524101327, 135.0379094897107, 135.00099253001113, 134.96415132502898, 134.92738925416012, 134.89106162025243, 134.85553745295704, 134.82119992971994, 134.7876971611139, 134.75434257829204, 134.7211471823218, 134.68812278610548, 134.65528145782827, 134.62263552878062, 134.5901976019483, 134.55798056144593, 134.52599758287764, 134.49426214471444, 134.46278804078753, 134.43158939400527, 134.40068067141112, 134.37007670071202, 134.3397926884177, 134.30984423974576, 134.2802473804623, 134.25101858084417, 134.22217478196836, 134.1937334245535, 134.16571010823034, 134.13803337636125, 134.11066189935218, 134.08359475654535, 134.05683077982988, 134.0303685438138, 134.0042063554204, 133.97834224287587, 133.95277394405602, 133.92749889415816, 133.90251421266436, 133.87781668956185, 133.85340277078691, 133.82926854285768, 133.80540971666332, 133.78182161037708, 133.75849894986354, 133.73539972647941, 133.71250515806005, 133.68983062752716, 133.6673920202455, 133.6452057489647, 133.62328878119712, 133.6016586692908, 133.58033358348496, 133.55933234826693, 133.53867448238393, 133.51838024290387, 133.4984706737634, 133.4789676592922, 133.45976376523413, 133.44068251987284, 133.42172807685625, 133.4029062444557, 133.3842229414116, 133.36568420139395, 133.3472961778218, 133.32906514906864, 133.31099752408343, 133.29309984845793, 133.27537881097527, 133.25784125067568, 133.24049416447983, 133.2233447154122, 133.2064002414714, 133.1896682651983, 133.1731565039958, 133.15687288126162, 133.1408255383971, 133.12502284776426, 133.10947240394327, 133.0940964995634, 133.07884984757396, 133.0637433860939, 133.0487884598664, 133.033996840022, 133.01938074552805, 133.00495286649596, 132.990726389538, 132.9767150253846, 132.96293303899697, 132.94939528243506, 132.9361172307707, 132.92311502136766, 132.91040549688796, 132.8980062524248, 132.88593568720978],
}



## plotting
fig, ax = plt.subplots(1, 2, figsize=(6, 3))
ax = ax.ravel()
for i, m in enumerate(['CH', 'YAG', 'BGO', 'GLO']):
    ax[0].plot(subset_a[f'x{i+1}'], subset_a[f'y{i+1}'],
            alpha=1, color=CB_color_cycle[i],label=m)

ax[0].text(40, 16, 'CHO', color=CB_color_cycle[0])
ax[0].text(40, 6.2, 'YAG', color=CB_color_cycle[1])
ax[0].text(40, 1.4, 'BGO', color=CB_color_cycle[2])
ax[0].text(40, 0.5, 'GLO', color=CB_color_cycle[3])
ax[0].text(0.03, 50, 'a)')
ax[0].set_xscale('log')
ax[0].set_yscale('log')
ax[0].set_ylabel('Thickness (mm)')
ax[0].set_xlabel('Photon Energy (MeV)')



for i, m in enumerate(['CH', 'YAG', 'BGO', 'GLO']):
    ax[1].plot(subset_b[f'x{i+1}'], subset_b[f'y{i+1}'],
                alpha=1, color=CB_color_cycle[i], label=m)
    
ax[1].axhline(2*6.5/0.1,ls='--',color='k')
ax[1].set_xscale('log')
ax[1].set_yticks([100,150,200,250])
ax[1].set_ylim([100,250])
ax[1].text(800,130,'Resolution limit ($\mu$m)', rotation=90)
ax[1].yaxis.tick_right()
ax[1].set_xlabel('Photon Energy (MeV)')
ax[1].text(0.03, 260, 'b)')

plt.show()