# Identifications: Ident(KH,KH,KH,KH,T)
# Eigenvalues of Graph Laplacian
# M = 4

eigenvalues = [-3.256075964408467e-15, 0.011291647601329103, 0.017379244825886632, 0.018977970535273916, 0.01939971207215686, 0.02905112381265409, 0.038465436799543, 0.03980387132181156, 0.04533810663197872, 0.05071540747651278, 0.053580266670541644, 0.05434202711653005, 0.055662044804055524, 0.05769523607220189, 0.06403206291825227, 0.06752131698223643, 0.07236378858362469, 0.07958605742710825, 0.08670290536472669, 0.09030379355727208, 0.0991027194381682, 0.10248476484035944, 0.10506642126332069, 0.10849941158907198, 0.1117475911772478, 0.11194946344224958, 0.1142692524513499, 0.12041515232267173, 0.12083584584226688, 0.1219640188194118, 0.12338200502514979, 0.12638319687866026, 0.13255453882364981, 0.1474676283316212, 0.15073365841307235, 0.15203933062422717, 0.15494457082319282, 0.15661115852489588, 0.15996004407214506, 0.16083665616720305, 0.16819809026652086, 0.1719863278666216, 0.1769049324542732, 0.18528285409533285, 0.18881296651672091, 0.1929911871223405, 0.19574772063759768, 0.19648469207549174, 0.20117658658183266, 0.20178871371027557, 0.21021085424071861, 0.2134936876536797, 0.217367289967448, 0.21921543907700675, 0.24209852939033277, 0.2422362309655693, 0.24452988235997522, 0.24657525937660704, 0.25004122582402466, 0.251922793123433, 0.25308357117317115, 0.2569590169229438, 0.26196703673279287, 0.2636529180977378, 0.264634868771398, 0.26566008973047217, 0.26740551506806104, 0.2696829335380498, 0.2763294106248789, 0.2794487449813146, 0.2843196694131344, 0.2844123178614337, 0.2920721059137917, 0.29658812006881546, 0.30103375441208424, 0.3064000628315493, 0.3064465938509211, 0.30774259563899714, 0.3088335910569768, 0.31960109920670254, 0.32113008277610317, 0.32383026974150053, 0.3271006559189135, 0.3397722487598847, 0.34152343225336185, 0.342717302086472, 0.3429854951415559, 0.34316770327099666, 0.3455617783616534, 0.3463404702885831, 0.3472311212271719, 0.35381268307451846, 0.3540483422018147, 0.3565649514049752, 0.35982328135953795, 0.36094345268000466, 0.36306913059277235, 0.36601126932189193, 0.36668984883216615, 0.3724352792865547, 0.37416930932892467, 0.37536256444399213, 0.37603437960710256, 0.37991173388144067, 0.38577130719873914, 0.3869451941502853, 0.3914547304974716, 0.40114096893789336, 0.40676436808729927, 0.41357661691470415, 0.415835233413814, 0.4181084174567862, 0.4215583429092605, 0.4222635948089245, 0.4244856513472988, 0.42459812648942297, 0.42478106472658084, 0.4262421050018874, 0.4275341489274421, 0.4281640678085617, 0.43029598544725395, 0.43317381591412996, 0.4339890926334144, 0.4357978911604947, 0.4359550288128754, 0.43685501319663134, 0.43701007989767454, 0.4372749490073468, 0.4395998985921006, 0.44102178096598477, 0.4501397979855214, 0.45184504042889007, 0.4521076417922383, 0.45496243484117727, 0.4591851093261901, 0.46165407744071263, 0.4700583654431151, 0.4837212351032999, 0.48521489000111745, 0.48651894771253823, 0.49376373412344376, 0.5026993103220841, 0.503744232763701, 0.5060160227734561, 0.5090553773802814, 0.5159492455150518, 0.5202790205382951, 0.523570130589339, 0.523974333048449, 0.5252569052601146, 0.5321864951288439, 0.5337498089072654, 0.5382230737333467, 0.5397148334484173, 0.5429307328427494, 0.5442818801398485, 0.545761571651438, 0.5547342944294595, 0.5594126348634443, 0.5594748530884648, 0.566608348561092, 0.5743529895632938, 0.5751232706830562, 0.5765561872335634, 0.5821795874965886, 0.5859304685873103, 0.5862478395428885, 0.5921558283063489, 0.5931890550761078, 0.59826941482988, 0.6045588708067227, 0.6047631547657756, 0.609604624236854, 0.6104680476100733, 0.6129105284015968, 0.6175044652999366, 0.6183651420584697, 0.6184460172038566, 0.6218847141841526, 0.6274054746979488, 0.6278652567146742, 0.634713779166874, 0.6350661226315021, 0.6360294703483591, 0.6367433947797972, 0.6400178170979288, 0.6466493436193033, 0.6498613712721412, 0.6517894603467053, 0.6546616516959873, 0.6567523916146223, 0.658611975074343, 0.659723508736081, 0.6676953592988717, 0.669827074796505, 0.6752074824912929, 0.6762793030493496, 0.677321798446351, 0.6864107837947445, 0.6902496428034396, 0.6905909706212207, 0.6929434153209122, 0.6942757291054417, 0.6960759124816063, 0.7029585888561557, 0.7030417508452352, 0.7054142638914086, 0.7063943240562303, 0.7120184526452792, 0.7126284906511295, 0.719824292596029, 0.7203967030114615, 0.7226473335742312, 0.7286737827731049, 0.7311342072231767, 0.7337285020019445, 0.735516148188568, 0.7366409797457121, 0.7403871901307897, 0.7425516573928, 0.7441583019019695, 0.7444362871508413, 0.7484488396247033, 0.7504934418137464, 0.7506415777128022, 0.7517659095575273, 0.7522915676035048, 0.753119160284296, 0.7539195372156562, 0.7573289616583978, 0.7587998424686087, 0.7615425366679149, 0.7675573757920136, 0.7693003058643147, 0.7709055575832023, 0.7722749825286813, 0.7749894453533985, 0.7792400331288938, 0.7813512548262629, 0.781895157974108, 0.7893269367171384, 0.7904466958023042, 0.8019411689767899, 0.8047561468717508, 0.8048779148983273, 0.8076100567749801, 0.8080258130213843, 0.8094410026599729, 0.8103048960906469, 0.8123282393930187, 0.8161367459760854, 0.8194797575108694, 0.8292722217513993, 0.8323969522446606, 0.8387071961114639, 0.8391564610083392, 0.8408503444865328, 0.8446620758527601, 0.8478002767517425, 0.8543752370515887, 0.8584417218325113, 0.8607605604172129, 0.8655695574286216, 0.868104977919748, 0.8687577271610978, 0.8753147555580334, 0.8776996678465204, 0.8793117864462977, 0.882825674312258, 0.8860361044991588, 0.8871227736323004, 0.8889403333340918, 0.8898280781518623, 0.8914649644312744, 0.8960837715353954, 0.8963316970980741, 0.8979344354754519, 0.9011760391500225, 0.901278643211718, 0.9065403009112123, 0.9092636555649777, 0.9107856741796626, 0.9127463278415243, 0.9231270365930154, 0.9249113421748312, 0.9252625917560622, 0.9302664642594676, 0.93303243359344, 0.9353631275916783, 0.9403259455684395, 0.9422612594815252, 0.9445726019290566, 0.946535245111149, 0.9487630656496381, 0.9544881177180485, 0.9559593178198021, 0.9565150101956874, 0.9580371288593361, 0.960627459778621, 0.9606529694317185, 0.9616524244596096, 0.9618163638209511, 0.9722155723702096, 0.9750077062973983, 0.977740186195431, 0.9777960900164734, 0.978651701805059, 0.9798228786257162, 0.9838637133714211, 0.9840659146696319, 0.9852612297161696, 0.9870036776126596, 0.9920884304700988, 0.9969294217718473, 0.9974334370479475, 1.0038634520276466, 1.0061147647172566, 1.007311518684417, 1.0152510607107799, 1.0176471592576688, 1.0196713805754574, 1.0201715476714377, 1.023766765568257, 1.0259703678938277, 1.0279470336062946, 1.031310829978643, 1.0341303799224588, 1.0364963793911466, 1.0387380427991515, 1.039389662934814, 1.045545472794527, 1.0462034189591716, 1.0500225415211992, 1.0514832183146101, 1.0519928102025031, 1.0607455590746242, 1.0608197359564926, 1.0628863946548972, 1.0647454098152154, 1.0711665367061027, 1.0719019480041512, 1.0740576500531778, 1.0773196179926383, 1.0800696006073291, 1.0823849727628163, 1.0830663328645267, 1.0931366182353122, 1.0957337781883882, 1.0975607832851766, 1.099501215318616, 1.1107097725454693, 1.1115615995428343, 1.1124473572963038, 1.1150548500977178, 1.1157517685678144, 1.1218361685624982, 1.125075120741342, 1.1258361443730642, 1.1281847750879404, 1.1310945504503533, 1.1319787656112794, 1.136328839220689, 1.1377258990714187, 1.1412414058992102, 1.1412786180030945, 1.1416402977950297, 1.1468327276697432, 1.150580719081746, 1.1545900321629425, 1.1619317807344922, 1.1636913843832952, 1.1656609745322808, 1.1692158604883818, 1.1761606605191235, 1.1807607054184353, 1.1815373405866727, 1.1843438652841591, 1.1858134020379705, 1.1861285374993837, 1.1868248810027768, 1.1870651386693856, 1.1897984533340211, 1.1976284765708234, 1.199772062680353, 1.1999603512377444, 1.2022499386423298, 1.2100932460620994, 1.2130286622005055, 1.2133069495752697, 1.218336917299855, 1.2238420482017496, 1.229541102510548, 1.2395257098948265, 1.2409157845971555, 1.2426988119898459, 1.2534588654256773, 1.2544561864595045, 1.2561438083119099, 1.2578349384612522, 1.2599199055821872, 1.2613878917997405, 1.2678122044376332, 1.2721964039452944, 1.2770795222722275, 1.2828789645390304, 1.2839731623888948, 1.2843053914923728, 1.2859066226291016, 1.2909237444700736, 1.2914816667822677, 1.2930703241510229, 1.2956147653932775, 1.2960890359615869, 1.2998243125645967, 1.301363697358266, 1.3041805196528395, 1.3043263939199667, 1.3065954432626168, 1.3106557805735586, 1.3131976143835675, 1.3144780027383862, 1.3205992700905782, 1.3221062206924883, 1.3252421398802938, 1.3296211931593647, 1.330830405010282, 1.3326015650232772, 1.332842478636126, 1.3376226222247143, 1.3409468442262364, 1.3448717313431295, 1.34694221571793, 1.3509274963135351, 1.3510009486156673, 1.35182486286948, 1.3575511825020332, 1.3600156715638192, 1.36386346228466, 1.3736638379313673, 1.3773816932341483, 1.3782604433955796, 1.3805356986858313, 1.3828845117020376, 1.387385619451408, 1.3912263018481335, 1.3937907967172216, 1.400658465755828, 1.4024056454539173, 1.4025799715986553, 1.403940430385042, 1.4044358173518219, 1.4078658410332507, 1.413526595677591, 1.4191680128198012, 1.419177377314559, 1.419388826352381, 1.4220172552455959, 1.4224213204427167, 1.4277044825125953, 1.4302415659172842, 1.4304912703789427, 1.434301306334283, 1.4370746247443908, 1.441133590114075, 1.4417770696018235, 1.4464601821702907, 1.4504568554443111, 1.45057626061821, 1.4531870025069196, 1.455763041483133, 1.4563546476318272, 1.459590774218839, 1.4595944787301331, 1.4609675189265843, 1.4611820746555064, 1.465071718129499, 1.4672605769782134, 1.4700059337645512, 1.4711050568540647, 1.471147284171671, 1.4760748027453507, 1.4784144316816505, 1.4816811826890472, 1.482754022021922, 1.487809903290594, 1.4893891895417004, 1.491686816913271, 1.4918876689847322, 1.4926015234033434, 1.4953491718521799, 1.4983881195510045, 1.4984910610593998, 1.4998727589044765, 1.5001844391958357, 1.503885395930403, 1.50651233807005, 1.507449703681637, 1.51048977273629, 1.5106677391789887, 1.5136880171222256, 1.5164968878714133, 1.519260487409585, 1.5196967578500102, 1.5197040250522835, 1.5198391551993504, 1.524209863593597, 1.5243316864497995, 1.5251131668381999, 1.5279337453747603, 1.5297373065272108, 1.530228984758231, 1.53104293625951, 1.5325322215671369, 1.5373633685811179, 1.5400014453483557, 1.5403839598257683, 1.542355599798921, 1.5451724276043954, 1.5476700728800856, 1.548579702727816, 1.5501558594966194, 1.5509808286373616, 1.5530995367090161, 1.5555417308537616, 1.5586107638840891, 1.5605056478689188, 1.5606770855692045, 1.5619724803290616, 1.569192935157051, 1.5692227381796264, 1.5737630789901729, 1.5812489705426194, 1.5844788518954658, 1.5887539368576888, 1.5914369592272481, 1.5972805377563206, 1.598215092858815, 1.598494497038322, 1.5999190895338988, 1.600549789119798, 1.6103028920498477, 1.6121438832449906, 1.6150182721291828, 1.616270003436634, 1.6170303979929992, 1.6177588902592397, 1.620560864858092, 1.6214304510931297, 1.6229398454992623, 1.6257028346045144, 1.6281505219068064, 1.6301770771721724, 1.6312497237042634, 1.6314208998211608, 1.6351839597857785, 1.6361660276477596, 1.6367796795516232, 1.64161514444275, 1.6426147381518983, 1.6480419380341205, 1.6488668940865314, 1.6494155372313766, 1.6517823272827135, 1.6539897753530137, 1.6549367760309852, 1.6570420756242084, 1.6573660629282112, 1.6617362815615073, 1.6627075881453917, 1.6641159698360881, 1.6677402844611167, 1.6699547396030048, 1.6701535343984417, 1.672764359949327, 1.6791959917265515, 1.679527303371912, 1.6815493004430815, 1.6838316970666602, 1.684302571012538, 1.6874329750447, 1.6897446728235759, 1.6925017635992905, 1.6935115858169005, 1.6964076254001286, 1.6983988032086366, 1.6989353800915887, 1.6996987425212255, 1.7049022654936279, 1.7059228195116203, 1.706291380159698, 1.7111604909652804, 1.7139641609157663, 1.7162247226782474, 1.7170968495726795, 1.7189664633057686, 1.7202934959162417, 1.72130631639889, 1.7258121019978578, 1.7271575244270891, 1.7273559412332151, 1.7281087628647682, 1.7316928221695331, 1.7325063184911746, 1.7327339332520715, 1.7342863939522501, 1.736964736517009, 1.7370675405849043, 1.7396313663096679, 1.7403331570634335, 1.7418628373427154, 1.7439211423235241, 1.7468052112831667, 1.7495916478141267, 1.752530479256793, 1.7543930823638156, 1.7555733682407273, 1.7572625007822489, 1.7590396687677068, 1.7622196032769708, 1.7623078521680753, 1.764846108772344, 1.7676160386269573, 1.7700083186219961, 1.7716996901841764, 1.773758633246179, 1.7753735944984248, 1.7767345652696558, 1.7800552549237834, 1.7809753393666894, 1.7819096594721804, 1.7820254623396174, 1.7854762074769266, 1.7879248902531262, 1.789670590078868, 1.7906908948975393, 1.7927711149570082, 1.7943426266376272, 1.7959407498586, 1.7982875515392118, 1.7992984885542938, 1.7993465846984174, 1.8002865479813548, 1.802599650514075, 1.8043389467109188, 1.8055052011395176, 1.8122141247696124, 1.8159970058201538, 1.8165753352298797, 1.8170453966393711, 1.8185761452220977, 1.8194328902979346, 1.8199400249543711, 1.82158995157173, 1.8231532449066183, 1.8270577751262815, 1.8312239722045256, 1.8320037064651693, 1.8329262445274432, 1.835017438753248, 1.8370386951799047, 1.8387419569742591, 1.841695794864638, 1.843260921688812, 1.8443564727278816, 1.8444463067332788, 1.8461050590038488, 1.8497986152796282, 1.8541600819207682, 1.8551622436020265, 1.8565301471877464, 1.8581022184624651, 1.8610690423396932, 1.864706581514252, 1.8662197071439555, 1.867685275392101, 1.8680833269676433, 1.868270426464164, 1.8696079016414309, 1.8717667558983677, 1.8717812342812563, 1.8729334614627198, 1.874624466922277, 1.878246087717682, 1.8807016845751794, 1.8809863372785145, 1.8836369062912588, 1.8855102611051289, 1.8857943969290754, 1.8862545934068609, 1.8862738885242367, 1.8939009898029593, 1.8946919132493611, 1.8948493807892728, 1.8951808261471799, 1.8970670659376443, 1.9007445850974127, 1.9043981693097536, 1.9094258011090912, 1.909800298712156, 1.9100780048105095, 1.9104001254023777, 1.9104963761662033, 1.913504491830506, 1.9139735258620074, 1.9147141843526818, 1.9157641292001377, 1.9186813034890688, 1.9202879335709417, 1.9208475856499287, 1.922353004114891, 1.9260698771228262, 1.9268526836075062, 1.930965461143898, 1.9346514223492843, 1.9373680334196166, 1.9400443511012246, 1.941754175862468, 1.944826194701847, 1.9451561169895115, 1.9468039220469844, 1.9471950798585982, 1.9493148664540147, 1.9516168478486133, 1.9516587858821945, 1.951856840192708, 1.9541365093891045, 1.954875681925937, 1.9568074006202125, 1.9586119478651023, 1.9597192996409212, 1.9627325916058382, 1.9657249170305704, 1.9665509324866566, 1.9668295144676813, 1.967383696425042, 1.9701005449914044, 1.9713991290194646, 1.9720527660516423, 1.9734700734870882, 1.9738306190132269, 1.9742753060625826, 1.9747112272779752, 1.9764338520735445, 1.9772759228010985, 1.9813922224236764, 1.9821382614945704, 1.9830247526889029, 1.9857529822023383, 1.9872466497774983, 1.987373163535827, 1.9903228084020754, 1.9911615760158714, 1.9928865176879826, 1.9951295893812622, 1.9973607799007167, 2.000000000000014, 2.0001121939832265, 2.00077503751365, 2.0023728784890924, 2.0040054926927158, 2.004915800173384, 2.005379111324703, 2.007398824129388, 2.0088878685632414, 2.0090633471183503, 2.0091585921746287, 2.0094643032315425, 2.0098686210850385, 2.013493264619187, 2.0139512901881944, 2.014354463662855, 2.014705073717846, 2.015374007983679, 2.0183234614087913, 2.0183440676208986, 2.0193111815276312, 2.0197055760971545, 2.0203150231589095, 2.020845738284677, 2.021303082390693, 2.0221610467975473, 2.0242192520586237, 2.0254236796743696, 2.025921757974712, 2.026295929835091, 2.027117726965928, 2.0280561950709965, 2.029018418990674, 2.029178645521988, 2.030093238731192, 2.0322405674636856, 2.033529831581065, 2.0336760543276045, 2.033745582102528, 2.0339123087504016, 2.034822624953709, 2.0351205455587396, 2.036171263999776, 2.0366731793344592, 2.0369020222663434, 2.0370403101542367, 2.0371299497329836, 2.038233079558904, 2.0391978913228037, 2.0395615531914753, 2.040679212587962, 2.0418733930385566, 2.0421276313909797, 2.042257367672083, 2.042462580513547, 2.042916923406865, 2.0434734663436958, 2.044642558897574, 2.044820636947891, 2.0451718363047364, 2.0457970527066767, 2.0461651081279597, 2.046641288777879, 2.0486277287261965, 2.0497933447132906, 2.0498245419520633, 2.050797358913671, 2.051589319302526, 2.0516980558696543, 2.051971534299005, 2.0538442426932173, 2.0541452148887114, 2.054167557291927, 2.054330868422439, 2.056388629928424, 2.0567313291829694, 2.0572953992914393, 2.0579831178468595, 2.060452923389595, 2.061388622493507, 2.0622982697130143, 2.0627861887885066, 2.0627963806930985, 2.064429340743705, 2.066740412307085, 2.066852699641935, 2.0670044306082485, 2.0675247250217335, 2.0675589666053096, 2.068982033667643, 2.06998019828243, 2.070672873545063, 2.0707012959804243, 2.0708311011341265, 2.0722041506515585, 2.0741096034196222, 2.074480379527625, 2.0745541674243047, 2.0750408202685797, 2.076406204246591, 2.0769089410950614, 2.077855744932214, 2.0778895618917663, 2.0788678964991427, 2.080227242700611, 2.082271136572035, 2.0853261041305107, 2.08537258376979, 2.0860330493821357, 2.08675078867035, 2.0876024995019273, 2.088052909625987, 2.0887987131600325, 2.0906178202806043, 2.090762352158381, 2.0914821525337732, 2.091642628005514, 2.092527542506875, 2.0947611005792206, 2.094832465322316, 2.0953933555893807, 2.097667763849587, 2.1010064095591696, 2.101320133192958, 2.102465265215289, 2.1034234470659423, 2.1051067552676073, 2.1071769399581988, 2.1074044785263, 2.1081886644537824, 2.113218706977675, 2.1133443084141734, 2.1133861034440233, 2.116794073109854, 2.117322564970293, 2.1174272724904823, 2.117739352853869, 2.11995907496293, 2.1217295729310224, 2.1224962528490057, 2.124334157375146, 2.1266846537462456, 2.126696085293049, 2.1267761409384804, 2.128564720560319, 2.1285699377359237, 2.129597086786268, 2.130487417455436, 2.1310146177117617, 2.1329375245864366, 2.1338088533983957, 2.133878758457986, 2.1340424005917376, 2.13485030128428, 2.141015083578109, 2.141069497368106, 2.1418001705366314, 2.142283811711087, 2.1436993721309157, 2.14378905489258, 2.1481009717273802, 2.149069466528659, 2.1495597647462787, 2.153338921255899, 2.1547988611590516, 2.1550475014654484, 2.15570348142033, 2.1573304704238194, 2.1586359519915095, 2.1587122433236696, 2.1654488926691156, 2.1654576170363526, 2.1663066634685886, 2.1682243281353784, 2.1695978187535987, 2.1700450624897467, 2.1713350106940306, 2.1730548099333986, 2.1735048398170513, 2.176093352108808, 2.176692723291552, 2.1772283136013497, 2.178782658250583, 2.180339378422008, 2.1815028349228727, 2.1824360833744674, 2.1832361755273806, 2.18677880526122, 2.188175687311841, 2.1890884852342047, 2.1892831249536724, 2.194937555730486, 2.196030969598834, 2.1983963650799545, 2.2003881869960624, 2.201075051118853, 2.2101315083950572, 2.210975453909632, 2.214975288293113, 2.2182596189080224, 2.220542140887155, 2.2221474874485634, 2.22359752729656, 2.2248073163416424, 2.226728517356629, 2.2337537769811537, 2.2379882907126207, 2.238662480668413, 2.243266318552191, 2.244377879991939, 2.2458123393324367, 2.2477770218587327, 2.2495418310614816, 2.250329161425357, 2.2503329598648465, 2.255091650923971, 2.2590423885563333, 2.260062023396157, 2.264262837754332, 2.26867657336313, 2.2687310445298117, 2.2706178483702986, 2.2736670108309416, 2.2747002763610653, 2.2756521715965046, 2.2788266516096662, 2.2794192474010013, 2.279600250079074, 2.285519890557773, 2.285991600682118, 2.286082937894278, 2.2896929300442284, 2.298614178658064, 2.2995250280197794, 2.3040045147730557, 2.304649621026124, 2.3078593138430605, 2.310902308354998, 2.3109954853555132, 2.3129545957148796, 2.319046309940099, 2.319548250155046, 2.3199177562199074, 2.322529029357823, 2.3246976827952053, 2.3293356571307715, 2.3309812081380534, 2.331940930090813, 2.332731052560718, 2.33488264111507, 2.3418940380933844, 2.3435206465457603, 2.344076684869318, 2.344805048652336, 2.3483471107111513, 2.34952793406198, 2.3518883506321435, 2.3544412090699325, 2.3548441713765342, 2.3558308148877205, 2.358999601176516, 2.3632323638468056, 2.363321642453606, 2.365662871635275, 2.3678711387547096, 2.3703011965702037, 2.3704383347669835, 2.3786491235944696, 2.3803140998969154, 2.3842269897139388, 2.3851051170205646, 2.392626491937931, 2.393408075750549, 2.3948856796466043, 2.3988075600354173, 2.402359947014553, 2.402668092916613, 2.4063666059175692, 2.4077095798770904, 2.4096533029934286, 2.4100350702465074, 2.410610593027365, 2.4117818514078366, 2.4155337483893584, 2.417948326574537, 2.4208629601274803, 2.4272884739039298, 2.4277321137965693, 2.434920821553821, 2.4353109395440486, 2.4466795089123727, 2.456187783215549, 2.4635449424334883, 2.469287138161088, 2.4712665585051545, 2.4749541233506265, 2.489669348016788, 2.4898997398495157, 2.489948920215594, 2.491978425664368, 2.497035176582573, 2.500592504526295, 2.508267660600574, 2.509723441766169, 2.513418033147161, 2.5141218516386443, 2.5152319649911545, 2.516292777228782, 2.5203225297683414, 2.5210320434799858, 2.527649357272296, 2.5332021247895016, 2.5353694010973764, 2.536609886951281, 2.5367755144106217, 2.541232248225738, 2.5413401584217934, 2.5419459139894007, 2.5494912130005516, 2.550336308697848, 2.551875109416512, 2.5569715166923506, 2.5623432261188395, 2.5628745038447938, 2.5630213755448947, 2.564321807740851, 2.5767653755089897, 2.576932599755651, 2.5904888670238857, 2.5922090020173325, 2.59296410957685, 2.5993264580928277, 2.601832865022726, 2.6064251214287317, 2.6070614691955307, 2.6072088530728825, 2.6115166737239806, 2.6134969184373125, 2.616746452562829, 2.6167964939059725, 2.617669581801553, 2.6241712380108533, 2.631427522205038, 2.637857608369651, 2.6418592056714045, 2.6450652212438026, 2.6513734088824057, 2.656820788138656, 2.6586312638664213, 2.660117942463067, 2.6604400706573537, 2.661445519131684, 2.662204038462031, 2.662879287511143, 2.669696434209328, 2.6757914100034355, 2.6762024268096054, 2.6803584637760536, 2.6834571564794083, 2.6856904877866237, 2.6885018352241503, 2.6895699436748326, 2.6918200246434205, 2.7008639118216142, 2.703778316815407, 2.7038504052354355, 2.7120972016838745, 2.7128867176446283, 2.71683004396551, 2.7202552164488414, 2.7225241801539077, 2.724702307686219, 2.729093646403122, 2.73105966812362, 2.731767031495937, 2.7380205901156085, 2.7389228910028267, 2.739344883621455, 2.740633250881194, 2.7441864797679356, 2.745113958743072, 2.7469814426014336, 2.7492827399384456, 2.7524848486713682, 2.7528685333753184, 2.7532508925849357, 2.7561720440791455, 2.7572716620872164, 2.7598558600271894, 2.7601374374262675, 2.7620343810141916, 2.7629973679842377, 2.763431403305077, 2.7648681181754866, 2.7656044268895084, 2.7690057611352366, 2.7710854915969914, 2.771756229837888, 2.774163956594281, 2.7744005813436132, 2.777232706582449, 2.779922316926871, 2.7806314346043166, 2.780741097830825, 2.78312835283772, 2.7843986495661275, 2.78447217820033, 2.785520678409658, 2.787386151665799, 2.787654037987252, 2.789725461777473, 2.789812235657482, 2.789922594932182, 2.790949840748332, 2.7914135778227576, 2.7918407262048484, 2.7924561380035815, 2.79690116127203, 2.7969032753615677, 2.8001029830962167, 2.80012150150126, 2.800294548895252, 2.8027502006871656, 2.802790287789904, 2.8054881718615245, 2.8057284409901793, 2.8071326349446633, 2.8088820275037722, 2.8131486119230438, 2.815541055104468, 2.8164834009805966, 2.8173402731376727, 2.819325716963155, 2.824494639101316, 2.8248528803040185, 2.8259111339319127, 2.8264967278273794, 2.829885950618103, 2.834267245298397, 2.8347062574636186, 2.8351215813301422, 2.8408509652476206, 2.842392429710655, 2.842411700514854, 2.842690864821196, 2.8448157344177147, 2.8448257407816446, 2.847373194392812, 2.8476978506686526, 2.8491908250623053, 2.849589988505903, 2.851600737741135, 2.851667824074266, 2.852559647092352, 2.854007027358702, 2.8585142361099742, 2.8592646586324912, 2.8612093285308458, 2.8621088770507415, 2.8651597971177787, 2.865459966081518, 2.8669167600100645, 2.8688099960132205, 2.8692829420689123, 2.8716622943370926, 2.8726064612411086, 2.873297015030162, 2.877520127976606, 2.877705547094526, 2.8777883131365267, 2.880035108085763, 2.8803275577928993, 2.8829623150750616, 2.8834629808920167, 2.8847013974940814, 2.885829906791445, 2.8879152586622787, 2.890913520576421, 2.893973065512946, 2.895309644457578, 2.8960231300988335, 2.8976705705149834, 2.898270512046876, 2.8988316847072957, 2.902586288016499, 2.9045850704487517, 2.9051047386722835, 2.911704736180601, 2.9118646158659165, 2.9167303617385874, 2.9186424747157953, 2.9197154432435486, 2.921911055713907, 2.923234723808027, 2.9254446106907652, 2.926492896862586, 2.926957693568286, 2.928729628222496, 2.9298133172163636, 2.9303496117626326, 2.9365871248700515, 2.939857189510231, 2.940070763141443, 2.9401360127158447, 2.941647630368288, 2.943817268647989, 2.948346467724374, 2.9513292021593633, 2.9515598584590323, 2.951710398246152, 2.9522824543021664, 2.957594176374979, 2.9590378846022496, 2.959176660701362, 2.960229296229999, 2.9623409325865024, 2.9629388391387286, 2.9632450365750755, 2.9637467141279323, 2.9650544490028325, 2.9663537839051792, 2.9683342758847617, 2.9685889869558113, 2.9697173115869524, 2.9712226454715744, 2.9720182821451835, 2.972805540870152, 2.973249601080592, 2.9734929921874285, 2.9755610233858674, 2.9778599713806773, 2.9780164394440236, 2.980290202177921, 2.983570052830338, 2.9836406292562065, 2.9837494572014704, 2.9842396564642883, 2.9847161010354903, 2.985818502782787, 2.9859673229933623, 2.9864898595983393, 2.989387756489128, 2.989736126822843, 2.9898322560840613, 2.9902536037759044, 2.9908053291039076, 2.9911805298666176, 2.9915226099974905, 2.9918412392666647, 2.994430792296194, 2.9954767904514306, 2.996175316012098, 2.996618968844302, 2.9968835885748564, 2.9983404257315622, 2.998979577863267, 2.9999423989320837, 3.001516877224103, 3.0017918350033557, 3.0038793636797663, 3.0053803859331385, 3.005773484862548, 3.0059906137365164, 3.006341029410612, 3.006374465265955, 3.009696710220927, 3.010572139766833, 3.0109445253323255, 3.0116655581370186, 3.0131928754883845, 3.0151170268097593, 3.0152944367699477, 3.016884524228815, 3.0183000362313908, 3.018751148616221, 3.0200470767686243, 3.0213480049173533, 3.0217805448153077, 3.0243894771767446, 3.0254338885985046, 3.025441137342192, 3.0265458390654727, 3.0268464274692004, 3.0285657903835017, 3.0286881709414852, 3.0300770261527217, 3.0304075330272027, 3.0311221575264446, 3.031146082590667, 3.032257003154988, 3.032485566275681, 3.0330639656666656, 3.0332167489547834, 3.0339933030400785, 3.0350397495709664, 3.035223606623589, 3.0354313673669684, 3.036543482341782, 3.0381641344496515, 3.0392099366843546, 3.0395449984725804, 3.040092989625405, 3.041947787059248, 3.0437100180317804, 3.0442404240670107, 3.044485185261709, 3.0450663283692965, 3.047360395615144, 3.048008038489556, 3.0498110166675336, 3.051046521466165, 3.0516962801718828, 3.0523264179214133, 3.0528670218451737, 3.053154265411743, 3.0576719976362714, 3.0585345503546275, 3.0594614144359644, 3.0636018815941797, 3.064614077400695, 3.0646739542930934, 3.065192491644783, 3.0664030764449492, 3.0664980789964282, 3.066613858247768, 3.0684413846301952, 3.069521865162643, 3.07025986504413, 3.079187167201355, 3.0813410496107783, 3.081404425985727, 3.081687459200833, 3.0830237729905927, 3.0837919359128865, 3.0839226166870293, 3.0857188459346085, 3.0866179581092434, 3.0883539504620265, 3.0898248915928646, 3.090188584470068, 3.093969547887143, 3.093988076238728, 3.0999943987771097, 3.100222102547728, 3.1011267905539244, 3.1012234310163507, 3.1019746472295053, 3.102441696689983, 3.1040636230508416, 3.105263626975339, 3.106834187377248, 3.110182221253084, 3.1103977309377977, 3.110682743865544, 3.112511081591546, 3.1138734418361182, 3.1144582847467572, 3.1189051727072585, 3.1198511509488096, 3.121386866436478, 3.12198919645519, 3.1232815029733687, 3.12493559657382, 3.125170530862831, 3.1269534448524516, 3.1291270689688275, 3.129985472622906, 3.130905311337157, 3.1311171048306505, 3.131770638125933, 3.133124216840131, 3.133371239721754, 3.134485078686127, 3.134857616480725, 3.1353407795699795, 3.1373340770884495, 3.1385215401878668, 3.141784594678926, 3.1418383205378513, 3.1422966143418067, 3.1432220106625732, 3.1433305589255096, 3.1441691842913633, 3.145291499613635, 3.1477417640539507, 3.1487083655617694, 3.149175365238446, 3.1514874925829437, 3.151510353113116, 3.1522079594946164, 3.153833619366279, 3.1548198717428297, 3.155557702665205, 3.156377892561762, 3.161175136503757, 3.1616894956182686, 3.1623894088622015, 3.165846434145202, 3.1673991330282054, 3.1675407245514395, 3.16871365677496, 3.168868636341173, 3.1694667370413807, 3.1726044738091854, 3.1731647544960415, 3.1740614239428706, 3.1755292843017755, 3.178196411149908, 3.178336699368171, 3.1797083506761155, 3.1813928596929983, 3.182682020736319, 3.1835257257588534, 3.1836568710959274, 3.184016131774918, 3.187774684140196, 3.1879198030713787, 3.188805965004305, 3.1896819722655505, 3.190171690071677, 3.191463181837822, 3.1922268485935383, 3.194173091553703, 3.1947013197673555, 3.195771033996197, 3.1971561969439097, 3.197304678839261, 3.1975057438390366, 3.197691342620781, 3.197912699344909, 3.198479673240411, 3.2004125949276436, 3.2013090662859476, 3.2014102660291197, 3.20312578750825, 3.2034318746714394, 3.204330846619746, 3.204593614688289, 3.205090354872837, 3.2053287687539394, 3.2093885732290626, 3.210479638904744, 3.210853121328666, 3.2132395982246535, 3.213370559279369, 3.2146483808929838, 3.2160675633291294, 3.2173320712360383, 3.2179169060071513, 3.2189382519446528, 3.219068560310219, 3.22072326487869, 3.221873995531277, 3.222645940407683, 3.2231736535023687, 3.2243180229468673, 3.224473960442994, 3.2250375497898096, 3.2254140556910147, 3.2254886208841, 3.226391555170537, 3.227388306564091, 3.227438958543913, 3.227964480986682, 3.228953720343062, 3.229280461901731, 3.2298585058690117, 3.2313938364208394, 3.2320814375509195, 3.2321176777169067, 3.233789004359849, 3.2338794290531934, 3.234772409941196, 3.236225173210606, 3.2363791705911176, 3.2364787480992834, 3.237293964373979, 3.2380465324140917, 3.2394001367332264, 3.2395100268491945, 3.240285346646084, 3.2421366853271807, 3.2427115082921034, 3.2429159092749935, 3.2430501292429628, 3.2433898052411188, 3.245449277007385, 3.2455480574730236, 3.246210373305411, 3.249218376330205, 3.249823407578757, 3.2502713813377553, 3.251938569841847, 3.2535881171170957, 3.254178867447135, 3.254911855678852, 3.2553296010973645, 3.2563925349073033, 3.25726118264072, 3.258830245548221, 3.2592421888986505, 3.2594865775828445, 3.260004763298793, 3.2615858028566467, 3.262473329466796, 3.2651346207164904, 3.2659096887713503, 3.2664832669212087, 3.2679491924311472, 3.2682812157865935, 3.2689595283696153, 3.2696962177792996, 3.2708651287051027, 3.2736108395011643, 3.276312823551144, 3.2765219298126493, 3.2787113399697927, 3.279982109549976, 3.2810919457457275, 3.2818609545322377, 3.2837007031851893, 3.2840835994123934, 3.284198013391367, 3.285228171821125, 3.28898597616406, 3.289561493120644, 3.2911324598774363, 3.29336537000167, 3.294282861990326, 3.2967410777276482, 3.297219008063822, 3.299334948384702, 3.2994055815012935, 3.299757061013736, 3.3022362886902834, 3.303235046921702, 3.304774236200456, 3.305632549914102, 3.305891868014784, 3.307117655407546, 3.309462068684507, 3.309751341122139, 3.31143771432996, 3.3125346218718112, 3.3134145407563484, 3.3144789947574687, 3.3150712495007877, 3.3157369955117204, 3.316440749704262, 3.318278350560496, 3.319526202813587, 3.321604332968897, 3.321734485963443, 3.322629460911932, 3.3235928994279207, 3.323753445306958, 3.3253768591536477, 3.327322197091843, 3.327411227735832, 3.3282445195175363, 3.328709321903018, 3.329009894499726, 3.33012425934178, 3.33175977933837, 3.332483193119946, 3.333261797018471, 3.335048565450863, 3.3356896074088045, 3.3358802555179348, 3.336641064272131, 3.3370141881401967, 3.3379614117883527, 3.339507458298507, 3.3399474942815535, 3.3411085533699256, 3.342794287604459, 3.343525394183476, 3.344537108630783, 3.3450435154881912, 3.345952355927662, 3.346780748712606, 3.346932445829983, 3.3469832868571707, 3.347620049418994, 3.3479259912492165, 3.348977295773293, 3.349136734332522, 3.349537921147327, 3.3515355025110645, 3.352945797401324, 3.3530198846769608, 3.353074508046128, 3.3533197512769664, 3.353574052964548, 3.3546698893846654, 3.356718088783657, 3.3581080156596568, 3.3583612400442617, 3.3590764387357366, 3.36205018714307, 3.362884060347966, 3.3634172940365135, 3.36407593313463, 3.3647918980216875, 3.365255672557657, 3.3653716265792806, 3.366439943921799, 3.3666099059526267, 3.3668984076686956, 3.3683025147965937, 3.368305774612754, 3.369438100561075, 3.370390031756274, 3.37080932616485, 3.371847137463686, 3.372417595957883, 3.373474721043875, 3.3736351858891327, 3.373661463392935, 3.3750484163705914, 3.3751372079958175, 3.37700515133868, 3.377305512054057, 3.3795355279216834, 3.3810353339404404, 3.3820459257645634, 3.382143950469394, 3.382296466982509, 3.383567216714253, 3.384388279511666, 3.386069696610505, 3.386327431252237, 3.388842098175854, 3.390313832422043, 3.3910856827044897, 3.394655192000387, 3.394934084069542, 3.3962956572725282, 3.398194075239881, 3.398721570377606, 3.3992296109863847, 3.3997361773841748, 3.4019332163466727, 3.403426009977032, 3.4035485662470473, 3.404314439990378, 3.405457142635983, 3.406467335865146, 3.40649504338271, 3.4089904773608066, 3.409270248702168, 3.409437746361164, 3.4110529066597293, 3.4161950739483578, 3.4163391532518723, 3.4181764210905174, 3.4197216831618937, 3.4218463000971746, 3.4221513963687737, 3.422211971240158, 3.42233676562955, 3.42348261123437, 3.4235565916186528, 3.423816618641524, 3.4239552032691396, 3.4241504112079792, 3.4249889257102395, 3.4273257383224522, 3.4284441617470702, 3.429858649218366, 3.431343241445233, 3.4321601447506347, 3.4323009667043873, 3.4343281962879226, 3.4348483608182714, 3.4350778870303804, 3.4356653887644826, 3.4364714861678287, 3.4365510598583624, 3.4378467766637018, 3.4384433131448002, 3.441582780302615, 3.4437431658316684, 3.4440908845347398, 3.448211443350604, 3.449780747000974, 3.450230098833132, 3.4536648523659403, 3.4551682587570114, 3.4570201082741376, 3.4579186613926534, 3.458793064571734, 3.4595341914197126, 3.460387138607694, 3.4664401173882013, 3.466671506336682, 3.4680361135025213, 3.4723600674122324, 3.4732283439864413, 3.473341883142731, 3.4756655446606755, 3.4779391180251826, 3.4782187920684793, 3.478682189762697, 3.480981669237443, 3.4814963762852957, 3.4818695559584043, 3.4855852109467755, 3.4863942860976485, 3.4880094104661135, 3.4896948159034737, 3.4910862260620505, 3.498868958717446, 3.5003699520178397, 3.501481593179456, 3.501701031894418, 3.501875123966752, 3.5050769678328724, 3.506133175854437, 3.5061910180731597, 3.511281626927458, 3.5116507723682027, 3.5118347753210806, 3.512919857499976, 3.5194603537497673, 3.521308976487873, 3.5225695163508055, 3.5230555293165606, 3.525274655001689, 3.526527303975008, 3.527052075763701, 3.527193312608883, 3.528261577963633, 3.5293205408952883, 3.5298774320686164, 3.5304467716048924, 3.536990729261447, 3.5402322620417963, 3.5404299221294346, 3.541340122873975, 3.542577020406702, 3.543720377151225, 3.544078364651666, 3.5443461848635853, 3.5472271873949786, 3.547849299738967, 3.548338778283022, 3.549890128344216, 3.5499472787520796, 3.551456444077709, 3.552535899189363, 3.55337483851325, 3.5548264989671425, 3.556813752228056, 3.558036295118034, 3.5607332702999184, 3.5615052290054434, 3.563076377130729, 3.563352967289939, 3.563974634849818, 3.565708204036239, 3.5679544998299875, 3.5686755852016194, 3.569944300905496, 3.5704108919435913, 3.571074983343196, 3.5717540731147066, 3.5744995156825765, 3.574742088969176, 3.5749704007566403, 3.5751349281993345, 3.5777443020666704, 3.578916861547081, 3.5795971222387495, 3.5800023075367173, 3.581371093684424, 3.581980374596929, 3.582127359110919, 3.5835262748580092, 3.584229783657847, 3.584299729380592, 3.584747412928619, 3.5882305063797335, 3.591635879254215, 3.5926481067613203, 3.5933141631761063, 3.5934732961494733, 3.594567128897413, 3.597924849300727, 3.5993301162138533, 3.6015945531784324, 3.6022017485578295, 3.603741516947046, 3.604151988616542, 3.606224672439703, 3.6093500047239475, 3.6098500719137063, 3.611279458207607, 3.611647607788704, 3.6145237455860277, 3.6148993622035843, 3.614992235266718, 3.6177257635363333, 3.6180682100711232, 3.61944184172185, 3.6194424442861552, 3.620756829140567, 3.622902871809895, 3.6242413892072007, 3.624552097058454, 3.624796286229928, 3.62824703507921, 3.6313735122935924, 3.6330680415921237, 3.6334859977334335, 3.635548261781463, 3.6370210494509765, 3.638145737832056, 3.6382745683747464, 3.6390848155559397, 3.640364127421705, 3.641993550669546, 3.6442288106225535, 3.644758590992677, 3.6458658703244056, 3.6465077497908287, 3.6466163772989173, 3.6470249607819785, 3.649272861732395, 3.6509679974311116, 3.650989851076203, 3.6529909941139858, 3.654102692227257, 3.6554022707177447, 3.656702695013859, 3.6571838838344015, 3.6577926324221544, 3.6585620986016982, 3.659107726289682, 3.659760527974711, 3.660199804259487, 3.6631981298877925, 3.6641893567493025, 3.666035969272896, 3.6668901815596477, 3.6685661138748444, 3.671986097227588, 3.67228398045764, 3.672929365095769, 3.6747554243599487, 3.677984201380186, 3.6792277879502744, 3.6795020500014206, 3.679754811635502, 3.681117636772343, 3.681743492311641, 3.6848571847305562, 3.686611530997763, 3.687786010261315, 3.688197776983358, 3.6882546827792684, 3.689442757015267, 3.69056047839829, 3.690811152281982, 3.6922405622189824, 3.6935026247442315, 3.693955639205786, 3.694117418998818, 3.6948352667107667, 3.6958101539009087, 3.6966767385869317, 3.6990794000290954, 3.700792706263595, 3.7016378965942462, 3.7039726731861555, 3.7044052232921785, 3.70581750199262, 3.706327246104661, 3.7065117752598105, 3.707517017079317, 3.7084406612157803, 3.7090465162716626, 3.7093865942266975, 3.710128692065308, 3.7121792657077886, 3.7138653067982537, 3.714060577746609, 3.7142698595028594, 3.715790136304474, 3.716312204734199, 3.7168627137078474, 3.717297127954688, 3.718561935664871, 3.7202957567643913, 3.723026534711114, 3.7231487147078686, 3.7236908408742777, 3.7242038838574487, 3.7251022314357476, 3.7276946925686825, 3.728025101183062, 3.7288169148734633, 3.7296282662053097, 3.7297553833494557, 3.7297668763809146, 3.731183916120923, 3.731268920093161, 3.733119533398716, 3.7343156434045026, 3.7343817356806572, 3.7367083978488402, 3.739900620238115, 3.7402801290522087, 3.7406300718172183, 3.740679311319755, 3.743947928599099, 3.7443735303777177, 3.7459677731204875, 3.748983570938362, 3.7494678831517594, 3.75113465477208, 3.7523591582675615, 3.752639706612692, 3.754065083047051, 3.7546892129463134, 3.756674759691987, 3.7566886294461277, 3.7572281420207676, 3.7577139920015923, 3.759866531464892, 3.759900534620079, 3.7599007078685998, 3.7600257062503326, 3.761553844691899, 3.764851598027203, 3.765680987313238, 3.766079259788216, 3.767339181522544, 3.769290861972896, 3.7701423314392533, 3.7707725290597467, 3.7712437233381846, 3.7717306209924906, 3.7740797986930805, 3.774359109019916, 3.777474453049714, 3.777997308045672, 3.7796607681731236, 3.7799780608811315, 3.784780508627754, 3.785306593071616, 3.785374368091915, 3.7888732706801402, 3.7891413581117757, 3.7899336593377124, 3.790313011258644, 3.7904857327080634, 3.7940761594912957, 3.7942134383892654, 3.797692596203215, 3.7991409844104704, 3.799825347341651, 3.8007687620061485, 3.804695536004759, 3.8049415349106503, 3.8051189806799726, 3.8090439213541427, 3.80927981120458, 3.812149036105397, 3.8136603919626717, 3.8154637340544624, 3.8194426766187943, 3.821409679004068, 3.821986869298159, 3.82352650818813, 3.8236265016906366, 3.8255214358688887, 3.828829821954255, 3.8294999635960125, 3.832459311398799, 3.8361011308191317, 3.837833246110956, 3.8378360258188797, 3.8386029213355646, 3.843200232859919, 3.8483727284648883, 3.8487004721645715, 3.850132495001934, 3.8529289632987256, 3.8540185582072413, 3.854874432912741, 3.8564724396460113, 3.8574474916204204, 3.8603710978148817, 3.862150659969833, 3.8657235398737693, 3.8669855374237034, 3.8695291877056817, 3.8771449680746497, 3.8774670300352096, 3.8831477152107716, 3.884386225839828, 3.885908303696918, 3.8880669442308164, 3.8911122084928507, 3.893015229930417, 3.8942158449016873, 3.8964511212709776, 3.8976496980826276, 3.9001984610506275, 3.9027397266469603, 3.904230454569932, 3.9057867638788113, 3.9117867236826904, 3.912009569574684, 3.912136764817298, 3.9169656631996372, 3.918375822152625, 3.9189520844643173, 3.9202830052591233, 3.9215750877116653, 3.9280963930258306, 3.929809727224432, 3.9311057630691146, 3.9327718664070894, 3.933435195084948, 3.934138204372377, 3.9391984925764776, 3.9397114067742813, 3.9482491474227976, 3.9515560847847984, 3.952242819627597, 3.956786873894016, 3.9578998642658725, 3.959382022670143, 3.9641825478323294, 3.9647258624920494, 3.9684977725086275, 3.9685768385536853, 3.9693230151408563, 3.97039300271475, 3.9717599232601493, 3.9777031145425115, 3.9802746170799046, 3.9851013737849437, 3.986535619110372, 3.9877575772933858, 3.9884539416767963, 3.9893722539034364, 3.9928772410887845, 3.9954383161596274, 3.998192472364294, 3.9985576592714014, 4.000000000000028, 4.000000000000049, 4.008056678914195, 4.009988883071889, 4.015816349543594, 4.017936944526865, 4.018145548773598, 4.024992758392895, 4.025250407490882, 4.025755865575945, 4.026003523970921, 4.0306679409575725, 4.031342891863491, 4.032566302862403, 4.03282520116543, 4.039879418866246, 4.041210416590569, 4.041437751746732, 4.041678532437914, 4.0430949118843875, 4.050163512761102, 4.0518781123864995, 4.059677337158421, 4.059856002756315, 4.060457770537304, 4.067632643735387, 4.06776305617734, 4.069351114444145, 4.069419274477577, 4.079729572622486, 4.08320745354541, 4.087437346948098, 4.088727410121796, 4.088851986503799, 4.088978110436654, 4.090489881388141, 4.090636826231472, 4.09264290068322, 4.09451229916287, 4.094984911591405, 4.097432426367528, 4.100368881791334, 4.10116480713006, 4.102833157034138, 4.104608287622044, 4.10500034231704, 4.10548426253455, 4.105609808167248, 4.109975257339703, 4.113889823289662, 4.114746974371241, 4.115150807666445, 4.117806967699329, 4.120024786427373, 4.121520737367547, 4.1216745397937995, 4.123876989413732, 4.128062283695918, 4.129441754349587, 4.1322090159430855, 4.132273459550508, 4.137657077174676, 4.138624705794397, 4.14207555452233, 4.143420175418645, 4.147067982770677, 4.149189926095046, 4.153548037334125, 4.161279785045722, 4.162456544373216, 4.1669140584385325, 4.175299255327201, 4.177850407875936, 4.184262553663586, 4.185211542473526, 4.189996681219019, 4.191043356756252, 4.194512909825089, 4.196181043410567, 4.196244645723914, 4.197204337523169, 4.20304784767994, 4.205644407665615, 4.211934536760876, 4.212817792092214, 4.2130354950672535, 4.214265110906809, 4.214800741826509, 4.215824989826429, 4.216500597585718, 4.218721012666882, 4.220270462773103, 4.220924340790879, 4.221917775092897, 4.228894294993793, 4.2316047202984635, 4.231995734056675, 4.233077796747531, 4.238645051512254, 4.241415542929085, 4.244600224785915, 4.249183093823063, 4.250647016699651, 4.2528622123632225, 4.256128965945764, 4.25690671234332, 4.258198501242587, 4.263049974617521, 4.2651305691274, 4.265536808397559, 4.2657664030910185, 4.267778798305427, 4.2708453936181865, 4.27105289232538, 4.271747787730284, 4.275549672847174, 4.275574662386428, 4.276899736985753, 4.280081028299036, 4.280147213694746, 4.287836059052903, 4.29110560397989, 4.29329827537691, 4.294688984981597, 4.295452838165144, 4.2964347379391254, 4.297239164085068, 4.298031495852182, 4.299527606697526, 4.301211817199554, 4.306247216265675, 4.307666891909062, 4.308217523729562, 4.3086512441648654, 4.308765842456508, 4.309867535415513, 4.312395770184823, 4.313739723463907, 4.314236042556744, 4.315271814793173, 4.315371668551451, 4.3167132532229076, 4.318712765889815, 4.318821316059336, 4.320050870478802, 4.320790918256061, 4.323919492403208, 4.325989851913231, 4.326924680860268, 4.330158076273259, 4.3305126701564856, 4.331213697625538, 4.3371673353179006, 4.337320353194384, 4.341539816451893, 4.342900458540442, 4.346178136982163, 4.346478305337954, 4.347153670143353, 4.34868737274566, 4.351126512590058, 4.351714709999148, 4.351828197952707, 4.353643822990639, 4.354413313227488, 4.35618733011935, 4.356478710248774, 4.3568084092655655, 4.3618766360177945, 4.362957730389944, 4.364486661450781, 4.367081250629406, 4.3684225297903385, 4.369969727115518, 4.370216951078164, 4.37182459519955, 4.373566574498375, 4.376430789650552, 4.376692646846024, 4.3773339363337405, 4.378194367021438, 4.378611612498216, 4.379931542549992, 4.381331286782879, 4.385959580419975, 4.386319926983955, 4.389001332768569, 4.3908767642899935, 4.391486696467286, 4.393945683285323, 4.394622793966398, 4.395432068993552, 4.39643550935093, 4.39800321922372, 4.399436078271511, 4.40040636238841, 4.403382191410421, 4.404777807346529, 4.4048004672180925, 4.405717968812829, 4.413055612725111, 4.413341743255179, 4.41365370208757, 4.413764174339676, 4.41703966292324, 4.419009041539574, 4.420189421752662, 4.420772317031224, 4.422774507711493, 4.426304150246099, 4.427979167358841, 4.429866839837429, 4.429964589202031, 4.431491889280192, 4.432042819248856, 4.432146614013644, 4.43525150614878, 4.435316118947726, 4.439531870729591, 4.44082741509506, 4.442663791094892, 4.4470646507400176, 4.447096940939014, 4.448274628438481, 4.448852550308164, 4.450140886867361, 4.450991117645664, 4.452571054605732, 4.452910890578686, 4.4542415005934215, 4.455418102250051, 4.455465469343195, 4.456220995789869, 4.456334926144206, 4.458120199082561, 4.458406742206329, 4.459457134825621, 4.459625903585392, 4.460967547871328, 4.462172645128591, 4.462332869426168, 4.463606468269515, 4.4650142763689145, 4.466696847612736, 4.467157963666561, 4.468077782034637, 4.468224424263685, 4.469060952979692, 4.470190457021638, 4.471787597534082, 4.472885857454518, 4.47483817019222, 4.476432637905712, 4.4783205057176145, 4.478403980574937, 4.479737786257672, 4.481240742607881, 4.481576533733224, 4.48224441657697, 4.483751482776155, 4.484418813455484, 4.486812038204156, 4.487015542727107, 4.488824238778462, 4.4891258398503044, 4.49099026855243, 4.492242953713022, 4.4923596289477326, 4.4945825707555835, 4.495303483360815, 4.4998399437811365, 4.50042636424677, 4.500943840620953, 4.502873860416936, 4.5065736691171345, 4.509653824952051, 4.5098002739678416, 4.511587180548292, 4.512368717149121, 4.512977422063385, 4.5133934622650935, 4.51347964148178, 4.514586328666277, 4.514606276994587, 4.520507530348019, 4.521571266653612, 4.5219867088302, 4.522443957660154, 4.522557139517246, 4.5233838163547375, 4.523534732371385, 4.525938181365342, 4.526850918178127, 4.527631830638927, 4.528472318667484, 4.530284549495622, 4.5321345770588986, 4.532762703441171, 4.533323257654899, 4.534235022679026, 4.534699786497085, 4.536119903238978, 4.540089101737375, 4.5411680204807725, 4.544506086026617, 4.546937146760913, 4.548054413137255, 4.548205014934983, 4.54921094806148, 4.550603862837177, 4.5516070579031025, 4.553590510950284, 4.553865410290615, 4.556482877895874, 4.558679844511368, 4.559638685503635, 4.560190842934154, 4.561960887884205, 4.5637411714692355, 4.5660867373144995, 4.568189114084895, 4.569421854465497, 4.569506147378413, 4.569919990235543, 4.571826003733345, 4.575516326467102, 4.576049832730806, 4.576739551289838, 4.57825635922422, 4.5824718812239755, 4.582475084392391, 4.582943363878023, 4.584472912928074, 4.585786437626892, 4.5875205682377995, 4.58777521967142, 4.590831206421631, 4.59200552375928, 4.59386935612163, 4.595034369412177, 4.596929386983421, 4.597479676530567, 4.598904804792282, 4.599288236323838, 4.603011521204797, 4.604358798076132, 4.60724280268038, 4.607555722349858, 4.608039884819677, 4.6080770465840155, 4.61162860271736, 4.616709989344484, 4.617087098752517, 4.617448959618022, 4.619593016122502, 4.6229741331017085, 4.623266432611533, 4.624946106245743, 4.6265287371412605, 4.6273308138959495, 4.628426862773591, 4.629264948808643, 4.630899657240138, 4.631427980162382, 4.633649907690981, 4.634226731606702, 4.63931569065816, 4.640973860541001, 4.641636285475167, 4.642072378729973, 4.642172749804002, 4.64226395055784, 4.646361594024783, 4.647271553478683, 4.647474105871701, 4.648154317922474, 4.648497313894161, 4.649079042004324, 4.649835009854788, 4.6505406948568835, 4.65156562240111, 4.651752677848317, 4.653068461506146, 4.655273973596831, 4.655323291244221, 4.658564815362249, 4.659182235138809, 4.66122426932894, 4.6618597375430015, 4.661960121715578, 4.662993967304402, 4.664947543304747, 4.66649660640999, 4.667531363147296, 4.668153185164274, 4.669562966117242, 4.670571965467795, 4.671806549134512, 4.672603865630763, 4.673795261273201, 4.675442105906963, 4.676077930206449, 4.676186383145452, 4.6779752415626445, 4.678373905379791, 4.680194616250746, 4.680236334729961, 4.681223465563148, 4.681505206599178, 4.685842186078141, 4.68628579957094, 4.68818904394376, 4.68859497302502, 4.6889653569713055, 4.689707329396931, 4.690147213421875, 4.691766188490147, 4.6929223211883, 4.695352179394761, 4.695677572232178, 4.696067075463913, 4.697809464284184, 4.697904271283475, 4.698076541516687, 4.699191195784501, 4.7006367280192585, 4.701835337178633, 4.702851729398643, 4.7038243925095005, 4.704134937731288, 4.704389850448256, 4.704430059563828, 4.709729947446356, 4.709852908061595, 4.710275045992541, 4.711223673274813, 4.713207757194366, 4.715632760672347, 4.7159679815941, 4.716312274335211, 4.7164764838300774, 4.716581858666419, 4.717065079226047, 4.717572958017067, 4.719504418589806, 4.720438916124949, 4.722305363134122, 4.723568563694663, 4.725636306967615, 4.727630004246655, 4.727968224899013, 4.729498205876494, 4.729906547005331, 4.729949579657852, 4.729992974023149, 4.731727987889719, 4.732428715759191, 4.733550465106418, 4.7336401936882115, 4.734675115790517, 4.7366478148537245, 4.736929914270269, 4.739738290014553, 4.7404254240306996, 4.740494563527815, 4.744420849876356, 4.745590942734149, 4.746027597361334, 4.74612608561921, 4.747755811409431, 4.751352518096733, 4.752975991015331, 4.753909255478775, 4.754238399298257, 4.75905833231786, 4.759341087345989, 4.7595009975718385, 4.7640824464454115, 4.76497091326396, 4.766521760159092, 4.766692950956616, 4.769740908258685, 4.770861618315432, 4.775724365643662, 4.779251208978199, 4.779494135918367, 4.783567385125363, 4.783904295804225, 4.786049072385037, 4.787157908891635, 4.792922132454399, 4.799048142577478, 4.802361692899788, 4.802823358172498, 4.802893712148333, 4.805449233010445, 4.8067272393236795, 4.813714151276571, 4.814626403596019, 4.815134364601418, 4.816701354975559, 4.8170063398045935, 4.821107828206147, 4.824791779933208, 4.825232897831407, 4.826212735508726, 4.834281400947809, 4.834809770676079, 4.837290805754915, 4.8373112640708404, 4.837968153104974, 4.842355036098568, 4.848818841682074, 4.849020553560926, 4.849366369781531, 4.8506044784454865, 4.8532022661043595, 4.853515402974654, 4.854593986794681, 4.855373266129315, 4.857814411555214, 4.858661649804909, 4.860122905924858, 4.862336300763616, 4.864419275614692, 4.868526172891857, 4.868918108187533, 4.870844061394072, 4.873827953211772, 4.874662912112532, 4.874733140840773, 4.875885046860917, 4.876316684638868, 4.878440104716642, 4.878688094451728, 4.880592540995348, 4.881701757128681, 4.883307118813428, 4.88409039851314, 4.885310508716663, 4.893002959345461, 4.895631669562496, 4.89606726730446, 4.899383582874909, 4.902579668375648, 4.90324491077523, 4.905909665677214, 4.905922178137201, 4.907784089835736, 4.908726172881959, 4.910786741844696, 4.912227682031123, 4.913956127074935, 4.914739928136001, 4.915250143778207, 4.916146466884364, 4.918927425185091, 4.920510047248076, 4.921393941626637, 4.921523534211628, 4.921618840993689, 4.922259020074825, 4.927495363922332, 4.927742881718724, 4.928586277524127, 4.931822707978902, 4.932070666816537, 4.932656299362284, 4.932883078568893, 4.934541623703511, 4.934659672980042, 4.935841340882814, 4.937005622667828, 4.939552057609402, 4.939800696320135, 4.939927974980798, 4.942966332527121, 4.943121785664926, 4.945478908689984, 4.946842375083716, 4.947363536975459, 4.947402364089637, 4.948825003861514, 4.94887530948462, 4.9535585780820535, 4.9543646802965275, 4.956551734601336, 4.956592339367115, 4.957796307062763, 4.960159971726153, 4.960581119438411, 4.961432495033824, 4.96203836771936, 4.962672883067061, 4.965954012610342, 4.9659952180734965, 4.967890037275337, 4.968970721694915, 4.9691319908978375, 4.969359496785229, 4.969405026172541, 4.969822532325792, 4.974984320100165, 4.976099397056906, 4.977834947285489, 4.977987631130825, 4.9787289539478365, 4.979120074185731, 4.979578298767054, 4.979747094928603, 4.98074765108758, 4.981791556246239, 4.98212503007161, 4.9825263162114615, 4.983359823092982, 4.984288065673341, 4.985993540805244, 4.986241771067736, 4.986253453731023, 4.987692539029435, 4.9887551999324655, 4.990509841026902, 4.991241437394179, 4.991869824808205, 4.992076932045872, 4.99336506333422, 4.993807831121791, 4.994435593447443, 4.994565196716286, 4.995151155914058, 4.995920306271064, 4.996745736382929, 4.996812289481929, 4.997236018950927, 4.997236198249855, 4.998290752203432, 4.99960408913923, 4.99987532455538, 5.000003311871216, 5.001395711849559, 5.001443686613897, 5.002863887554663, 5.002889746960234, 5.005418258576489, 5.005515273043328, 5.009916847425798, 5.0112082159196625, 5.011415377627769, 5.0129430045226675, 5.015166756539082, 5.015229797327563, 5.0153204296502265, 5.018016142144707, 5.018476371739476, 5.01941320709105, 5.0207083099881125, 5.021083130825113, 5.02143159161466, 5.022971497396283, 5.023150289242451, 5.023856640044725, 5.025650144164414, 5.026162653239296, 5.0264625309519415, 5.027855460044381, 5.029387801505936, 5.02959640677561, 5.0323531045744785, 5.03306989231708, 5.033597548129906, 5.033601850990009, 5.033689991369349, 5.034030686226106, 5.035022488164615, 5.03696496565757, 5.040270346390875, 5.040690453446332, 5.0428761871110614, 5.043940211194541, 5.044466190782392, 5.0453269244303645, 5.046583413074467, 5.047849793069779, 5.050145266173321, 5.052661204795578, 5.0535353714794615, 5.055534048295163, 5.05557892398613, 5.056707569118728, 5.057169537410146, 5.062529005863306, 5.063756507191985, 5.066836376149631, 5.067866506106568, 5.06802124176549, 5.0707613255739306, 5.0719408650724915, 5.072699942205817, 5.074549273611288, 5.075291631894425, 5.077767176979798, 5.079801571080658, 5.080494769586602, 5.081804598709192, 5.08191958749766, 5.084217285949372, 5.087697322515432, 5.090390537193362, 5.09229102286856, 5.093716762227266, 5.0982836998773955, 5.099144847102493, 5.099203056709038, 5.10126079919052, 5.102321629239291, 5.102438958385642, 5.1030201332494824, 5.103136505270821, 5.105484079964576, 5.105839452136526, 5.108278445633828, 5.110334596316362, 5.11072441877907, 5.110916422621121, 5.112361156953118, 5.11345963999805, 5.113490179550564, 5.1169517031914875, 5.1172323461252915, 5.118665296016527, 5.1194583374623495, 5.119604617586342, 5.122270685993556, 5.125481222522292, 5.125811178647992, 5.126229000849745, 5.129198463269396, 5.130420524235575, 5.133067629727403, 5.133471096128848, 5.133810281962781, 5.134173186901047, 5.134183192086901, 5.1354007809378714, 5.138348564103524, 5.138423896692796, 5.139722381107522, 5.141064838857417, 5.141386709033401, 5.142442603386164, 5.144098525364809, 5.144111838056321, 5.144463125506175, 5.144868699382922, 5.144956849805216, 5.145557284179031, 5.147157964669037, 5.148808174319044, 5.151156297668692, 5.15164319740405, 5.15325939225506, 5.153622972109231, 5.154408299717673, 5.155700382724715, 5.156693580493087, 5.158520562716752, 5.159011354499521, 5.1590419562294505, 5.161674553208172, 5.1623032245607545, 5.163366520354033, 5.1647757404138925, 5.166943567241666, 5.168687178144378, 5.170111893392588, 5.170664765335399, 5.171216584171413, 5.171348927424838, 5.172270686475817, 5.173099571328955, 5.173876566438309, 5.173922069456096, 5.174074250428537, 5.177458671012465, 5.180329311583806, 5.1842364220620905, 5.184693411832935, 5.187563824814124, 5.188481118955309, 5.19172714429096, 5.191859671529975, 5.192694877749485, 5.193773304410999, 5.194412834988041, 5.194883653342626, 5.196520998284447, 5.196609399409695, 5.198592555724808, 5.1993605568723975, 5.20379143061285, 5.2071696142393975, 5.207387443419507, 5.208548752479909, 5.208873178789185, 5.211788829542516, 5.212413968162096, 5.213069024733536, 5.213858305879724, 5.213871491426571, 5.215329629392984, 5.2179090110403035, 5.2189531886411284, 5.219838497856107, 5.220086443275034, 5.220695429850684, 5.22349880792103, 5.2258084165937815, 5.227794564903925, 5.228280160821028, 5.229752932078197, 5.230577191924391, 5.233317749055667, 5.235219018456272, 5.2367541765409795, 5.238912707556628, 5.240929082541688, 5.241328724423056, 5.241806766236106, 5.24637313571079, 5.246546638566112, 5.246748189918203, 5.24844506404136, 5.249092297048886, 5.250818982038761, 5.252282626928656, 5.252808250438752, 5.253849256379017, 5.254117411330741, 5.254728670794756, 5.255875835419082, 5.256729313343755, 5.25761972904833, 5.258622156026972, 5.258815017165896, 5.2620205995262905, 5.263172717243116, 5.264149835644196, 5.269462974784437, 5.271702050357239, 5.272655428107962, 5.272696528610959, 5.273002172334468, 5.276872207437731, 5.278083343346573, 5.278387693100251, 5.281603453215376, 5.281605233267578, 5.282615872034466, 5.284172335656285, 5.284894876325271, 5.287467946137953, 5.287599114207057, 5.288583182393743, 5.289267061075681, 5.292239465831098, 5.29432345536743, 5.295270552390263, 5.297368536624452, 5.299046701601485, 5.299807026800795, 5.304481622081616, 5.305079885039947, 5.306109032003373, 5.3062523928689, 5.3072588168566925, 5.308350134292565, 5.309453094023688, 5.3131231462849415, 5.315026845278317, 5.316091183154903, 5.317755611837869, 5.32056770342514, 5.32111281247299, 5.322014979871837, 5.322591533167852, 5.323974148949375, 5.324164847358554, 5.32600106553886, 5.327248504118689, 5.33238942280502, 5.3334484736922025, 5.335282908636627, 5.3376051878679425, 5.338157657623942, 5.340888468007699, 5.343864497080149, 5.34730165970363, 5.348663488140629, 5.349391923544957, 5.350567344763878, 5.353984003764228, 5.355741958546474, 5.357344351689464, 5.36260993964068, 5.363024473236682, 5.363222262475731, 5.3676954306084586, 5.368473468485912, 5.370698300097019, 5.37155982845882, 5.372878030757703, 5.374234859611757, 5.374577913630046, 5.376740378933841, 5.38233011682155, 5.382789075785696, 5.386531208712208, 5.389226515097582, 5.393906846725616, 5.396111068877206, 5.397659161822733, 5.400351122423574, 5.401271378351215, 5.401441693040432, 5.406452351945598, 5.409769567361126, 5.412146006782392, 5.4193090235693315, 5.4230278864868735, 5.435637389817758, 5.43583527322636, 5.436610860728103, 5.437097065652836, 5.438753377603933, 5.443836229313064, 5.4461789069538575, 5.447973835617882, 5.450694868553228, 5.452664387802319, 5.455900219469831, 5.457206412264723, 5.463346040334606, 5.464577522675177, 5.466822627102851, 5.470625122552053, 5.4708769158589, 5.47105459307666, 5.47170529548396, 5.478888026403888, 5.483063170101935, 5.486091779470997, 5.4862488835870575, 5.489761892255626, 5.491323284098235, 5.494905037156719, 5.504270779400941, 5.506543946793928, 5.510235851549394, 5.512813566646427, 5.515753405815431, 5.515766925521848, 5.515893026010929, 5.5177781892338436, 5.518056876154323, 5.521374270652645, 5.522763356322872, 5.523673957386627, 5.524162962101756, 5.52484167559048, 5.527483796079606, 5.528115147521534, 5.530453346977224, 5.530870328154927, 5.531174582574516, 5.532482194819978, 5.537306037793295, 5.53793561187172, 5.540201176621311, 5.541089256826769, 5.548703651385084, 5.5491034452388615, 5.551578561940632, 5.5553656802246545, 5.5557898932218635, 5.556846350444571, 5.557275028740348, 5.5581308283674575, 5.5624260211689975, 5.569510586846196, 5.570648507495483, 5.572570680243317, 5.574417909891603, 5.5859957591386555, 5.595884495919434, 5.600136931698026, 5.600538704165848, 5.601133386609945, 5.601972467120358, 5.609995840747376, 5.61919938123137, 5.6220974628492, 5.6224159220470815, 5.622997452304399, 5.624023578103732, 5.625233609188947, 5.6284113043933655, 5.629839721371159, 5.635063074470403, 5.637388477096401, 5.640074651202886, 5.640442137003607, 5.641162444067045, 5.642961793449604, 5.644990857496796, 5.64685360904961, 5.6479037357192805, 5.652857424070434, 5.652974451419599, 5.653067297110018, 5.654407689065021, 5.655992078979009, 5.65622840679881, 5.6605734916086226, 5.6614661448342565, 5.661870698426332, 5.663369987514368, 5.66365680567815, 5.66469245759796, 5.665754834759639, 5.6664769716184065, 5.667006009540218, 5.6716845716634605, 5.673311846728762, 5.675422121028426, 5.677168646933775, 5.678337761861999, 5.680051902892388, 5.680836465064336, 5.683068092180628, 5.683158180221256, 5.686099073935358, 5.6875606118132, 5.690402460749262, 5.69048046541996, 5.692133999680345, 5.69463589133783, 5.696212310736732, 5.696635265121507, 5.698302923305136, 5.698896232470512, 5.704179422317819, 5.706443006800134, 5.707043144502459, 5.709029104730071, 5.709956652924567, 5.710050693061294, 5.710777679654672, 5.712768209690913, 5.7128102350129755, 5.714062427907464, 5.715969659802208, 5.720423555745171, 5.720889411530406, 5.725719997743065, 5.726624304351593, 5.727831487217679, 5.7282160547043075, 5.7299558603803975, 5.732361513888117, 5.732390609922026, 5.733716924376054, 5.7363584542873305, 5.73735594831642, 5.739017177491784, 5.739723168937235, 5.739969307733693, 5.745735891638376, 5.74716365531069, 5.747182208506764, 5.749634660229364, 5.750983993112153, 5.7537179900461854, 5.759484104143577, 5.759876448373424, 5.760583082508886, 5.760751823393685, 5.761315357653262, 5.775066478425726, 5.777415903638401, 5.795594649304902, 5.796656199424499, 5.800300064701338, 5.808411733607192, 5.811162555871827, 5.811820073473654, 5.81334781917052, 5.816422325043796, 5.818537875769545, 5.819412044319185, 5.819900875826886, 5.8211999453942616, 5.821207800971852, 5.821951475647504, 5.829780221260086, 5.831827146104107, 5.835182822500057, 5.839308143607951, 5.840890826676429, 5.841071277304327, 5.846012041410845, 5.853898204362196, 5.855777170110941, 5.856848663003603, 5.858102889291103, 5.8598619106326035, 5.862727867242152, 5.864948360467147, 5.868792587691176, 5.869639227361239, 5.869965951809656, 5.875094558751672, 5.876646443264561, 5.879034693054648, 5.880805386416355, 5.882977467651065, 5.886870164303721, 5.889559631816683, 5.890210139462235, 5.8905466880193345, 5.890553873022651, 5.892845882893598, 5.896944035738245, 5.898366548965684, 5.898541343526238, 5.901164497899695, 5.906625289867253, 5.907778412646798, 5.909941164363772, 5.913805054321743, 5.916961503271529, 5.919090420964526, 5.924858336836548, 5.925722258505728, 5.929582657749606, 5.931454588519238, 5.931524313593574, 5.932661400697728, 5.935062995214995, 5.935740326413647, 5.93633885534238, 5.937441040661419, 5.938865563990523, 5.942523189951018, 5.944613673447213, 5.946224065264203, 5.946913705937343, 5.948978821875002, 5.952963041252166, 5.9633983956857834, 5.967924662896886, 5.972140335729494, 5.972801760068111, 5.974244066547653, 5.977098826080885, 5.979826801398109, 5.985068462589569, 5.98907417041718, 5.990512378450902, 5.990745699587833, 5.999522258456049, 6.000164314460701, 6.000960008435387, 6.005998314844829, 6.01191086727632, 6.0131747160661275, 6.014490729086453, 6.014521684751224, 6.014640028466998, 6.014959503848685, 6.016024625754517, 6.0184656217352135, 6.02129858803372, 6.023124244305438, 6.023212858512837, 6.024936440356544, 6.029336589709899, 6.030559807759545, 6.033009970092553, 6.034455702082478, 6.038725655282401, 6.050567234428267, 6.051808667531035, 6.053830874913569, 6.054020997951251, 6.05481581158864, 6.0565918499188065, 6.0587635958169415, 6.066306913400171, 6.066698790227468, 6.06796901032142, 6.075340146817212, 6.078878328054627, 6.079925957207868, 6.083242910868371, 6.086143696323089, 6.087254187691516, 6.088775045278252, 6.088996508905486, 6.090933862357989, 6.094569223672988, 6.095079961118837, 6.095739332345223, 6.099659405566085, 6.103491188246985, 6.103656575117726, 6.104577625119527, 6.107675708771483, 6.111201742311239, 6.111882015243462, 6.1123469928630065, 6.114121338590312, 6.115737915925947, 6.115745608711884, 6.120040120576144, 6.121138111888103, 6.1225353731254755, 6.124324153005613, 6.125589530225506, 6.128219490331291, 6.128934739189957, 6.130857754495441, 6.131683400534643, 6.133813527971132, 6.1339899704968595, 6.134545462089368, 6.136135264839102, 6.137471514465944, 6.140173180063754, 6.142977304725365, 6.146658178049577, 6.14707557429484, 6.147271357879251, 6.149405288924964, 6.15154444415342, 6.1551149756312995, 6.15543267918564, 6.155917972252284, 6.158356952708206, 6.158889577408269, 6.163204404397072, 6.166720670889762, 6.168633253201211, 6.168874410172634, 6.173292200862787, 6.175571677335164, 6.179352584571755, 6.183391262012213, 6.190293413182305, 6.19145910849018, 6.194665730380526, 6.1961807382891365, 6.198795196399099, 6.199994911245481, 6.2006389939474555, 6.201935738441522, 6.20437041350001, 6.2047439265410755, 6.207153450842257, 6.2107305225962826, 6.211217890623923, 6.211230090606259, 6.213876545741862, 6.2156890866613335, 6.2186816628769686, 6.223287535348719, 6.223363995288218, 6.2271242978161245, 6.22749339384886, 6.229732681949719, 6.231171860903005, 6.232837051046595, 6.234022252502644, 6.234030507880501, 6.234991070591134, 6.235384670170462, 6.245493773469604, 6.250366464756657, 6.25087500603784, 6.255217147883097, 6.256474720488657, 6.26070299334529, 6.263578775243631, 6.264397270109634, 6.268946753141721, 6.2697380508310925, 6.269947859213136, 6.274304373033958, 6.279690282243614, 6.2804072081162206, 6.281115594643619, 6.282781586181993, 6.283662062070224, 6.284679366384685, 6.287269901781072, 6.28728082820565, 6.290631176168219, 6.291277336938086, 6.294555270301638, 6.296621510569693, 6.297342683765176, 6.300932637202534, 6.302665891216363, 6.304872650858426, 6.306035062041959, 6.309269524056706, 6.311049882817214, 6.311263116384747, 6.3116184464249745, 6.312394516442755, 6.312958731931899, 6.314119651291491, 6.31542237190329, 6.316844705373503, 6.3172627414325735, 6.318751804415123, 6.319513276048021, 6.325860436473727, 6.32997746421831, 6.331595454763035, 6.332659058445654, 6.33345538154051, 6.336359627935955, 6.33644874839659, 6.344801045911803, 6.349791497610563, 6.357562879152757, 6.373838583075837, 6.378075309311846, 6.383118094537052, 6.408067396258924, 6.408644743838636, 6.4086921197922635, 6.432547337920733, 6.447641345520605, 6.448749032994761, 6.449265234021179, 6.4557143410218725, 6.457495974262431, 6.458901099314385, 6.460083312471931, 6.466966528856338, 6.467546307457429, 6.469354989624572, 6.472964342594768, 6.4742188545224915, 6.475000933701021, 6.4787050309192225, 6.480899989812881, 6.480926822100488, 6.481243757025977, 6.4824912800678325, 6.483102707206031, 6.483552502732493, 6.485866825857026, 6.4871673570482145, 6.487303498605744, 6.489508061597459, 6.490066221727686, 6.492426354524408, 6.492917558686868, 6.493481615810481, 6.495347177108925, 6.497013044373446, 6.497867622279272, 6.499178247647445, 6.5001261538505055, 6.502617853035432, 6.5027171582001815, 6.503103515518902, 6.50393032332757, 6.5048740324425145, 6.505580622578605, 6.506917053799564, 6.50870734944334, 6.5103765784025, 6.5105435041535165, 6.510793957051365, 6.512736145094462, 6.517240868038092, 6.520551232570467, 6.521746807384156, 6.522632158988507, 6.5234719110462605, 6.5248529524728545, 6.530205613431841, 6.530247702412826, 6.531093532503041, 6.535390255276138, 6.535554682655946, 6.538314776515335, 6.538373610763318, 6.538413004734738, 6.539371114560619, 6.54212499518157, 6.5469335782533, 6.551173703653793, 6.557700341130309, 6.559644826129072, 6.563262914020872, 6.563683057735899, 6.570629849745268, 6.571341504079737, 6.572369644222122, 6.577165688463996, 6.5810161519188455, 6.581730418620801, 6.588014669769376, 6.592618372000537, 6.594210136375812, 6.6040377719183345, 6.604717168832429, 6.615314761870743, 6.617625506685367, 6.618126785143435, 6.622549013883781, 6.622905260339857, 6.6280953088494785, 6.631126613448348, 6.635500382935895, 6.635586269436127, 6.6368145292631855, 6.641284656762133, 6.642539065898056, 6.6491489346872745, 6.652047227270636, 6.652532367199932, 6.654893922818675, 6.655675524819111, 6.6573236201479435, 6.658438726775547, 6.65857794150088, 6.666847977240068, 6.668175100631989, 6.669853317551239, 6.673899561134316, 6.678042579468138, 6.682985430495851, 6.6879451604290185, 6.689265663860707, 6.699745526130291, 6.702304620298121, 6.703746925061631, 6.703975015642884, 6.705313050774142, 6.7113519421377665, 6.711563145519561, 6.7126630571139865, 6.715943894949233, 6.7203277585432, 6.722445490776428, 6.723781170556021, 6.728309843300036, 6.728532678702485, 6.732050807568901, 6.738809688339595, 6.740422143563291, 6.743419473958885, 6.745667927518422, 6.754193373138207, 6.76005173268056, 6.763198894066616, 6.763625947789806, 6.763835971586331, 6.777922646662395, 6.778839849566071, 6.792404818920176, 6.801129262853686, 6.808634127337233, 6.814890263976951, 6.822744849987017, 6.824019368402266, 6.826919687823671, 6.828606673108279, 6.831486661094536, 6.833046432490975, 6.833606433919824, 6.834320141918625, 6.840667557292226, 6.840705518771259, 6.842140286326062, 6.845193207124936, 6.854995431538122, 6.855213632402857, 6.855235771963436, 6.8563181041575065, 6.859963097366249, 6.866938839706622, 6.868132858859145, 6.86923614950166, 6.870440297488203, 6.873455725307763, 6.883918120793978, 6.888045770166728, 6.888200626509383, 6.891736553112786, 6.897095365058655, 6.899586313278219, 6.900239657914695, 6.902928781467422, 6.903539669594275, 6.903842073493712, 6.909396274543404, 6.91143080911688, 6.91186579435759, 6.911894794074802, 6.912788746787056, 6.91464284807173, 6.914872793883952, 6.917388265827601, 6.927384239547393, 6.929341649189558, 6.9301294371579285, 6.935945713241001, 6.937801037536488, 6.939004508645172, 6.940538697098496, 6.963455540634993, 6.963928330790422, 6.968171961652611, 6.968342508985464, 6.971670992386406, 6.974579276973936, 6.982055030528181, 6.983098182768418, 6.983310172446389, 6.983547532887802, 6.986583714036527, 6.988505831861045, 6.993418110273817, 6.994654356736049, 6.995833608257771, 6.99878199750427, 7.001540641683166, 7.00406700937846, 7.004087904735998, 7.006645914982062, 7.0094942401300235, 7.010890761544801, 7.013138061198841, 7.014033867194174, 7.0165503164404415, 7.019091937014756, 7.019815452254074, 7.022075515417598, 7.023702251647797, 7.024236081616916, 7.025650847015834, 7.02944248237611, 7.033900716219708, 7.034992825373556, 7.036083436059145, 7.036856744283194, 7.038926506592034, 7.0413181669350715, 7.042831817632143, 7.0431583130966295, 7.043774770159665, 7.0451921006839315, 7.046142083530467, 7.050386183828816, 7.051624855387492, 7.05179339442871, 7.053307721746846, 7.05425889124121, 7.05438944735384, 7.055577305025589, 7.0557110593556285, 7.0573503275834035, 7.058086153733693, 7.058106898844006, 7.058237880270127, 7.061062447728884, 7.063651083040783, 7.064611154137467, 7.064678988210789, 7.064886967122504, 7.065743278096903, 7.0686216542670754, 7.069318105928722, 7.070858820431457, 7.072470324286306, 7.073753909527809, 7.074192186474232, 7.0746356094693645, 7.07553906060197, 7.07680409699414, 7.077647370365751, 7.078817060620269, 7.079190139319047, 7.080463280455268, 7.0805411368519025, 7.08152423215637, 7.082101184441569, 7.082945070626642, 7.083093746546584, 7.084379631286475, 7.085070158438378, 7.0852165212950124, 7.086469868508398, 7.08944340743527, 7.0897945550625545, 7.090269085102381, 7.0938033870990855, 7.094107561639318, 7.0950061414838705, 7.095537268673594, 7.096723539633731, 7.097580824725717, 7.097666810720022, 7.097907252106727, 7.099071145133615, 7.099693943271031, 7.100589978973219, 7.101064471339169, 7.103208680633569, 7.103694839578109, 7.104489844472266, 7.104970378290958, 7.105119061614676, 7.106175499386732, 7.107378964534091, 7.108642788929851, 7.1090270092583925, 7.1123982849900855, 7.113281698117917, 7.113968008548454, 7.114474070235172, 7.114848620422038, 7.1165495138798285, 7.116954077868288, 7.117215138154202, 7.118724110846326, 7.11919151072825, 7.120866780079889, 7.1219740725513985, 7.1232414046398835, 7.123386039883435, 7.124095907569384, 7.124210352196112, 7.125583625030282, 7.125908060413813, 7.126291154987536, 7.12657478879145, 7.127038398303691, 7.12871811312877, 7.12878356773335, 7.1304268476312505, 7.130836189490004, 7.131312634449244, 7.13245687325022, 7.133824263979685, 7.136319941730338, 7.137376175595248, 7.138940991953334, 7.139199209347846, 7.143543992233225, 7.144201356497278, 7.144678563772476, 7.145970237854898, 7.14690746004249, 7.147483769412923, 7.147900671364121, 7.149216462343277, 7.149776029541258, 7.149793572213949, 7.150971645893122, 7.151201107506051, 7.153498012975341, 7.1535900630118014, 7.159473437872055, 7.1616433518569425, 7.162258429348243, 7.162931465224633, 7.165321599755313, 7.166822239718091, 7.168344401545164, 7.168542706566493, 7.168800841886189, 7.171278075051802, 7.171376629462067, 7.172005497813865, 7.173079457648733, 7.17408521633589, 7.174308265090898, 7.174760502563844, 7.175085482978663, 7.176504266912974, 7.177413587835589, 7.178386610278662, 7.179068845662309, 7.179629958478379, 7.18032518165764, 7.18119510179936, 7.1821799675345295, 7.182887548969241, 7.182920576759786, 7.18353548804175, 7.185352261208647, 7.187018548416695, 7.1873932658206865, 7.187693827321498, 7.189325976205033, 7.189390366717945, 7.190371264464856, 7.190698512056272, 7.191875556440223, 7.193846317931667, 7.194667833950831, 7.195961999449967, 7.196480016641977, 7.197558045869655, 7.198332540463474, 7.1988680646602035, 7.200277891077686, 7.2005248792170775, 7.201566291063229, 7.201597861935149, 7.202928535428427, 7.203958797133437, 7.205459166713268, 7.205732444708055, 7.2062310601016755, 7.2064608729414035, 7.206586442011779, 7.206643348863374, 7.207107210445579, 7.2076182569263665, 7.208693077860147, 7.20898652327463, 7.2094223164308735, 7.209982571745256, 7.210903522633529, 7.211928263784986, 7.212219048581043, 7.212464646487701, 7.212538953973402, 7.212718663741453, 7.213410971098038, 7.214039083656034, 7.214128759238896, 7.214165692332327, 7.215886268919496, 7.216170857717057, 7.2167027328283195, 7.21779604595444, 7.218534876957341, 7.218696648493495, 7.219231880553507, 7.220711560248834, 7.22146032877679, 7.222875447005383, 7.22402322842105, 7.224455238438453, 7.226074379402379, 7.226311173000256, 7.226709479686786, 7.226810265157601, 7.227402697416733, 7.227731093419198, 7.2277997440580135, 7.2290589260238, 7.2309880684141365, 7.231059421038181, 7.23115604529284, 7.231328751198503, 7.2314285011175885, 7.231838177066647, 7.231987446656116, 7.232665843312913, 7.233564942077651, 7.233971059316754, 7.2340705697539445, 7.234638667357116, 7.235461980482398, 7.235568664426123, 7.236150389596883, 7.236616379180741, 7.236688492063814, 7.237356544884064, 7.238535105662316, 7.239024578161075, 7.239477426483579, 7.240348093500634, 7.240766867755408, 7.241226484961988, 7.241441371108407, 7.241988472949154, 7.242048280227221, 7.242655987914465, 7.2427524291454395, 7.242916220039732, 7.243731764994768, 7.243774935044996, 7.244600423030539, 7.244838573441465, 7.245337973050136, 7.247385437494548, 7.247606264771866, 7.247996493059184, 7.248186874449504, 7.2486985627947815, 7.248700415526746, 7.248986797166912, 7.249029822406158, 7.249402440001346, 7.249632768884273, 7.249829144433814, 7.2500669764423815, 7.250128567761077, 7.25017199419347, 7.250648533528112, 7.25120754496412, 7.252064635904753, 7.252130806711538, 7.252487618000392, 7.253267417674955, 7.254200318085836, 7.255468688385914, 7.255810936962227, 7.256107945836096, 7.257090645053723, 7.257661458030428, 7.258245153783527, 7.258337988910449, 7.25842494130034, 7.259345014683178, 7.2599434706621215, 7.261723846270885, 7.261763255644867, 7.262068316669251, 7.262829750529723, 7.262854175912957, 7.263599811120991, 7.2641248574329635, 7.265271535923186, 7.265678039264494, 7.266162123335415, 7.267263013571128, 7.267541296920954, 7.2678374610063345, 7.26874511075628, 7.269366136840061, 7.269527219045154, 7.26955715600416, 7.269708814926606, 7.270170751000735, 7.270827375543301, 7.2714551034988215, 7.271584786227683, 7.271946111347384, 7.274216604500291, 7.274759257387733, 7.275412161283881, 7.276734936720468, 7.277559479677006, 7.278684286213724, 7.278883562683235, 7.2788947762375855, 7.280124540646143, 7.2804781750429655, 7.281949950112721, 7.282279092957871, 7.2841252298692565, 7.284581248386779, 7.285275337903761, 7.286291373854347, 7.286703052644978, 7.287863630789512, 7.289266401701912, 7.289870969161757, 7.291801415788099, 7.292022127768901, 7.2925378371778065, 7.292680419830824, 7.293717424168377, 7.295039945132048, 7.295649567164568, 7.2961491159779515, 7.29829770811012, 7.29941275111925, 7.30147366080458, 7.30305656242311, 7.304371375126075, 7.306482899319671, 7.306548116184093, 7.306718431335824, 7.307144818384317, 7.307392744068371, 7.307396516176259, 7.307944242286844, 7.307962441032256, 7.30902223184775, 7.310991880454853, 7.31114992673053, 7.311648177262216, 7.31418813471702, 7.31435692387307, 7.314679663725958, 7.31507338386142, 7.318439377203558, 7.318468127300818, 7.320170370276914, 7.3202434460722134, 7.320689345816478, 7.320824323590541, 7.321751758872223, 7.322631039487953, 7.323491668245583, 7.324287563183287, 7.324365155198084, 7.324857931937018, 7.325806242424491, 7.326262275239727, 7.327078332693214, 7.328963788589045, 7.329234618155507, 7.330159989829874, 7.330789519281175, 7.3317123085273375, 7.332617798989929, 7.333527421656952, 7.335611918396485, 7.335888535805938, 7.336450115014725, 7.337594873550024, 7.337683578320796, 7.338202149465014, 7.339309653312517, 7.339750592282667, 7.340818739596095, 7.340973333900194, 7.3424722985093025, 7.342909897858129, 7.342987165919949, 7.343944299386966, 7.345667678641254, 7.34582759718874, 7.346447259918772, 7.346701591431662, 7.348658101481206, 7.348672207213209, 7.3486787337040385, 7.349277676122955, 7.349590172425298, 7.350853793229488, 7.351023875925587, 7.351925073597639, 7.3519517599612545, 7.35235698123754, 7.352487079436168, 7.352910349721672, 7.353889953853008, 7.354638697972521, 7.357110641565732, 7.3595088095222, 7.3596739027261755, 7.359721165421556, 7.360026860033206, 7.362678080770864, 7.362913947539223, 7.366513088459108, 7.3719507275995735, 7.372805085978257, 7.374250269274966, 7.37813169239138, 7.380599713977006, 7.380686775966553, 7.381267900829581, 7.383156932705548, 7.386421096625128, 7.389658018636477, 7.389807650568048, 7.397123571214723, 7.402195919965389, 7.4023325371002295, 7.402689104252698, 7.407170917724569, 7.414213562373057]