{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Cover","Schaltkreis"],"not_rendered":{"charts":1,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Cover","index":0,"n_rows":20,"n_cols":3,"rows_kept":20,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,"Algorithmen"]
[]
[]
[null,"Kapitel",5]
[null,"Thema","Differentialgleichungen"]
[]
[null,"Inhalt","Gewöhnliche Differentialgleichungen"]
[null,null,"Partielle Differentialgleichungen"]
[]
[]
[]
[]
[null,"Version","1.0"]
[null,"Autor","Harald Nahrstedt"]
[null,"Datum","2025-06-15"]
[]
[]
[null,"Springer Vieweg Verlag"]

{"sheet":"Schaltkreis","index":1,"n_rows":501,"n_cols":7,"rows_kept":501,"cut":false,"hidden":false,"merged":[]}
["R =",1,"Ohm","Widerstand",null,"t","V"]
["C = ",1,"Farad","Kapazität",null,0.01,0.05]
["U = ",5,"Volt","Eingang",null,0.02,9.9500000000000005E-2]
["V = ",0,"Volt","Start",null,0.03,0.148505]
["dt = ",0.01,"s","Schritt",null,0.04,0.19701995]
["tE = ",5,null,"Endzeit",null,0.05,0.2450497505]
[null,null,null,null,null,0.06,0.292599252995]
[null,null,null,null,null,7.0000000000000007E-2,0.33967326046505003]
[null,null,null,null,null,0.08,0.38627652786039951]
[null,null,null,null,null,0.09,0.43241376258179554]
[null,null,null,null,null,0.1,0.47808962495597757]
[null,null,null,null,null,0.11,0.52330872870641776]
[null,null,null,null,null,0.12,0.56807564141935363]
[null,null,null,null,null,0.13,0.61239488500516004]
[null,null,null,null,null,0.14000000000000001,0.65627093615510845]
[null,null,null,null,null,0.15,0.69970822679355738]
[null,null,null,null,null,0.16,0.74271114452562181]
[null,null,null,null,null,0.17,0.78528403308036565]
[null,null,null,null,null,0.18,0.82743119274956201]
[null,null,null,null,null,0.19,0.86915688082206644]
[null,null,null,null,null,0.2,0.91046531201384573]
[null,null,null,null,null,0.21,0.95136065889370725]
[null,null,null,null,null,0.22,0.99184705230477022]
[null,null,null,null,null,0.23,1.0319285817817225]
[null,null,null,null,null,0.24,1.0716092959639054]
[null,null,null,null,null,0.25,1.1108932030042664]
[null,null,null,null,null,0.26,1.1497842709742236]
[null,null,null,null,null,0.27,1.1882864282644814]
[null,null,null,null,null,0.28000000000000003,1.2264035639818365]
[null,null,null,null,null,0.28999999999999998,1.264139528342018]
[null,null,null,null,null,0.3,1.301498133058598]
[null,null,null,null,null,0.31,1.338483151728012]
[null,null,null,null,null,0.32,1.3750983202107319]
[null,null,null,null,null,0.33,1.4113473370086245]
[null,null,null,null,null,0.34,1.4472338636385382]
[null,null,null,null,null,0.35000000000000003,1.4827615250021529]
[null,null,null,null,null,0.36,1.5179339097521314]
[null,null,null,null,null,0.37,1.55275457065461]
[null,null,null,null,null,0.38,1.5872270249480638]
[null,null,null,null,null,0.39,1.6213547546985831]
[null,null,null,null,null,0.4,1.6551412071515974]
[null,null,null,null,null,0.41000000000000003,1.6885897950800814]
[null,null,null,null,null,0.42,1.7217038971292806]
[null,null,null,null,null,0.43,1.7544868581579878]
[null,null,null,null,null,0.44,1.7869419895764078]
[null,null,null,null,null,0.45,1.8190725696806438]
[null,null,null,null,null,0.46,1.8508818439838373]
[null,null,null,null,null,0.47000000000000003,1.882373025543999]
[null,null,null,null,null,0.48,1.9135492952885591]
[null,null,null,null,null,0.49,1.9444138023356736]
[null,null,null,null,null,0.5,1.9749696643123169]
[null,null,null,null,null,0.51,2.0052199676691935]
[null,null,null,null,null,0.52,2.0351677679925015]
[null,null,null,null,null,0.53,2.0648160903125765]
[null,null,null,null,null,0.54,2.0941679294094508]
[null,null,null,null,null,0.55000000000000004,2.1232262501153563]
[null,null,null,null,null,0.56000000000000005,2.1519939876142029]
[null,null,null,null,null,0.57000000000000006,2.1804740477380609]
[null,null,null,null,null,0.57999999999999996,2.2086693072606804]
[null,null,null,null,null,0.59,2.2365826141880736]
[null,null,null,null,null,0.6,2.264216788046193]
[null,null,null,null,null,0.61,2.291574620165731]
[null,null,null,null,null,0.62,2.3186588739640737]
[null,null,null,null,null,0.63,2.345472285224433]
[null,null,null,null,null,0.64,2.3720175623721884]
[null,null,null,null,null,0.65,2.3982973867484665]
[null,null,null,null,null,0.66,2.4243144128809817]
[null,null,null,null,null,0.67,2.450071268752172]
[null,null,null,null,null,0.68,2.4755705560646502]
[null,null,null,null,null,0.69000000000000006,2.5008148505040038]
[null,null,null,null,null,0.70000000000000007,2.5258067019989636]
[null,null,null,null,null,0.71,2.5505486349789739]
[null,null,null,null,null,0.72,2.575043148629184]
[null,null,null,null,null,0.73,2.5992927171428923]
[null,null,null,null,null,0.74,2.6232997899714636]
[null,null,null,null,null,0.75,2.6470667920717488]
[null,null,null,null,null,0.76,2.6705961241510314]
[null,null,null,null,null,0.77,2.6938901629095211]
[null,null,null,null,null,0.78,2.7169512612804261]
[null,null,null,null,null,0.79,2.7397817486676219]
[null,null,null,null,null,0.8,2.7623839311809455]
[null,null,null,null,null,0.81,2.7847600918691362]
[null,null,null,null,null,0.82000000000000006,2.8069124909504448]
[null,null,null,null,null,0.83000000000000007,2.8288433660409402]
[null,null,null,null,null,0.84,2.8505549323805308]
[null,null,null,null,null,0.85,2.8720493830567255]
[null,null,null,null,null,0.86,2.8933288892261584]
[null,null,null,null,null,0.87,2.9143956003338967]
[null,null,null,null,null,0.88,2.9352516443305579]
[null,null,null,null,null,0.89,2.9558991278872524]
[null,null,null,null,null,0.9,2.9763401366083797]
[null,null,null,null,null,0.91,2.9965767352422961]
[null,null,null,null,null,0.92,3.0166109678898732]
[null,null,null,null,null,0.93,3.0364448582109742]
[null,null,null,null,null,0.94000000000000006,3.0560804096288643]
[null,null,null,null,null,0.95000000000000007,3.0755196055325755]
[null,null,null,null,null,0.96,3.09476440947725]
[null,null,null,null,null,0.97,3.1138167653824773]
[null,null,null,null,null,0.98,3.1326785977286526]
[null,null,null,null,null,0.99,3.1513518117513661]
[null,null,null,null,null,1,3.1698382936338523]
[null,null,null,null,null,1.01,3.1881399106975139]
[null,null,null,null,null,1.02,3.2062585115905389]
[null,null,null,null,null,1.03,3.2241959264746334]
[null,null,null,null,null,1.04,3.2419539672098869]
[null,null,null,null,null,1.05,3.2595344275377882]
[null,null,null,null,null,1.06,3.2769390832624103]
[null,null,null,null,null,1.07,3.2941696924297861]
[null,null,null,null,null,1.08,3.3112279955054884]
[null,null,null,null,null,1.0900000000000001,3.3281157155504335]
[null,null,null,null,null,1.1000000000000001,3.344834558394929]
[null,null,null,null,null,1.1100000000000001,3.3613862128109799]
[null,null,null,null,null,1.1200000000000001,3.3777723506828701]
[null,null,null,null,null,1.1300000000000001,3.3939946271760415]
[null,null,null,null,null,1.1400000000000001,3.4100546809042811]
[null,null,null,null,null,1.1500000000000001,3.4259541340952384]
[null,null,null,null,null,1.1599999999999999,3.4416945927542861]
[null,null,null,null,null,1.17,3.4572776468267432]
[null,null,null,null,null,1.18,3.4727048703584757]
[null,null,null,null,null,1.19,3.4879778216548911]
[null,null,null,null,null,1.2,3.5030980434383423]
[null,null,null,null,null,1.21,3.5180670630039588]
[null,null,null,null,null,1.22,3.5328863923739191]
[null,null,null,null,null,1.23,3.5475575284501799]
[null,null,null,null,null,1.24,3.562081953165678]
[null,null,null,null,null,1.25,3.5764611336340213]
[null,null,null,null,null,1.26,3.590696522297681]
[null,null,null,null,null,1.27,3.6047895570747044]
[null,null,null,null,null,1.28,3.6187416615039574]
[null,null,null,null,null,1.29,3.6325542448889179]
[null,null,null,null,null,1.3,3.6462287024400286]
[null,null,null,null,null,1.31,3.6597664154156284]
[null,null,null,null,null,1.32,3.6731687512614721]
[null,null,null,null,null,1.33,3.6864370637488575]
[null,null,null,null,null,1.34,3.699572693111369]
[null,null,null,null,null,1.35,3.7125769661802552]
[null,null,null,null,null,1.36,3.7254511965184527]
[null,null,null,null,null,1.37,3.7381966845532681]
[null,null,null,null,null,1.3800000000000001,3.7508147177077356]
[null,null,null,null,null,1.3900000000000001,3.7633065705306583]
[null,null,null,null,null,1.4000000000000001,3.7756735048253516]
[null,null,null,null,null,1.41,3.7879167697770981]
[null,null,null,null,null,1.42,3.8000376020793269]
[null,null,null,null,null,1.43,3.8120372260585338]
[null,null,null,null,null,1.44,3.8239168537979484]
[null,null,null,null,null,1.45,3.8356776852599688]
[null,null,null,null,null,1.46,3.8473209084073692]
[null,null,null,null,null,1.47,3.8588476993232956]
[null,null,null,null,null,1.48,3.8702592223300627]
[null,null,null,null,null,1.49,3.8815566301067621]
[null,null,null,null,null,1.5,3.8927410638056945]
[null,null,null,null,null,1.51,3.9038136531676377]
[null,null,null,null,null,1.52,3.9147755166359612]
[null,null,null,null,null,1.53,3.9256277614696016]
[null,null,null,null,null,1.54,3.9363714838549058]
[null,null,null,null,null,1.55,3.9470077690163565]
[null,null,null,null,null,1.56,3.957537691326193]
[null,null,null,null,null,1.57,3.9679623144129312]
[null,null,null,null,null,1.58,3.9782826912688019]
[null,null,null,null,null,1.59,3.9884998643561138]
[null,null,null,null,null,1.6,3.9986148657125526]
[null,null,null,null,null,1.61,4.0086287170554273]
[null,null,null,null,null,1.62,4.0185424298848726]
[null,null,null,null,null,1.6300000000000001,4.0283570055860238]
[null,null,null,null,null,1.6400000000000001,4.0380734355301637]
[null,null,null,null,null,1.6500000000000001,4.0476927011748618]
[null,null,null,null,null,1.6600000000000001,4.0572157741631134]
[null,null,null,null,null,1.67,4.0666436164214819]
[null,null,null,null,null,1.68,4.0759771802572669]
[null,null,null,null,null,1.69,4.0852174084546942]
[null,null,null,null,null,1.7,4.0943652343701471]
[null,null,null,null,null,1.71,4.1034215820264457]
[null,null,null,null,null,1.72,4.1123873662061809]
[null,null,null,null,null,1.73,4.1212634925441192]
[null,null,null,null,null,1.74,4.1300508576186781]
[null,null,null,null,null,1.75,4.1387503490424917]
[null,null,null,null,null,1.76,4.1473628455520668]
[null,null,null,null,null,1.77,4.1558892170965462]
[null,null,null,null,null,1.78,4.1643303249255812]
[null,null,null,null,null,1.79,4.1726870216763254]
[null,null,null,null,null,1.8,4.180960151459562]
[null,null,null,null,null,1.81,4.1891505499449666]
[null,null,null,null,null,1.82,4.1972590444455173]
[null,null,null,null,null,1.83,4.2052864540010626]
[null,null,null,null,null,1.84,4.2132335894610522]
[null,null,null,null,null,1.85,4.2211012535664416]
[null,null,null,null,null,1.86,4.2288902410307774]
[null,null,null,null,null,1.87,4.2366013386204697]
[null,null,null,null,null,1.8800000000000001,4.2442353252342651]
[null,null,null,null,null,1.8900000000000001,4.2517929719819225]
[null,null,null,null,null,1.9000000000000001,4.2592750422621037]
[null,null,null,null,null,1.9100000000000001,4.2666822918394827]
[null,null,null,null,null,1.92,4.2740154689210881]
[null,null,null,null,null,1.93,4.2812753142318769]
[null,null,null,null,null,1.94,4.2884625610895579]
[null,null,null,null,null,1.95,4.2955779354786623]
[null,null,null,null,null,1.96,4.302622156123876]
[null,null,null,null,null,1.97,4.3095959345626369]
[null,null,null,null,null,1.98,4.3164999752170106]
[null,null,null,null,null,1.99,4.3233349754648405]
[null,null,null,null,null,2,4.3301016257101921]
[null,null,null,null,null,2.0100000000000002,4.33680060945309]
[null,null,null,null,null,2.02,4.3434326033585595]
[null,null,null,null,null,2.0300000000000002,4.3499982773249739]
[null,null,null,null,null,2.04,4.3564982945517245]
[null,null,null,null,null,2.0499999999999998,4.3629333116062075]
[null,null,null,null,null,2.06,4.3693039784901453]
[null,null,null,null,null,2.0699999999999998,4.3756109387052442]
[null,null,null,null,null,2.08,4.3818548293181916]
[null,null,null,null,null,2.09,4.38803628102501]
[null,null,null,null,null,2.1,4.3941559182147598]
[null,null,null,null,null,2.11,4.4002143590326126]
[null,null,null,null,null,2.12,4.4062122154422863]
[null,null,null,null,null,2.13,4.4121500932878632]
[null,null,null,null,null,2.14,4.4180285923549842]
[null,null,null,null,null,2.15,4.4238483064314345]
[null,null,null,null,null,2.16,4.4296098233671204]
[null,null,null,null,null,2.17,4.4353137251334491]
[null,null,null,null,null,2.1800000000000002,4.440960587882115]
[null,null,null,null,null,2.19,4.446550982003294]
[null,null,null,null,null,2.2000000000000002,4.4520854721832608]
[null,null,null,null,null,2.21,4.4575646174614283]
[null,null,null,null,null,2.2200000000000002,4.4629889712868138]
[null,null,null,null,null,2.23,4.4683590815739453]
[null,null,null,null,null,2.2400000000000002,4.4736754907582057]
[null,null,null,null,null,2.25,4.4789387358506234]
[null,null,null,null,null,2.2600000000000002,4.4841493484921173]
[null,null,null,null,null,2.27,4.4893078550071959]
[null,null,null,null,null,2.2800000000000002,4.4944147764571243]
[null,null,null,null,null,2.29,4.4994706286925528]
[null,null,null,null,null,2.3000000000000003,4.5044759224056277]
[null,null,null,null,null,2.31,4.5094311631815716]
[null,null,null,null,null,2.3199999999999998,4.5143368515497562]
[null,null,null,null,null,2.33,4.5191934830342584]
[null,null,null,null,null,2.34,4.5240015482039162]
[null,null,null,null,null,2.35,4.5287615327218766]
[null,null,null,null,null,2.36,4.5334739173946579]
[null,null,null,null,null,2.37,4.5381391782207112]
[null,null,null,null,null,2.38,4.5427577864385045]
[null,null,null,null,null,2.39,4.5473302085741194]
[null,null,null,null,null,2.4,4.5518569064883785]
[null,null,null,null,null,2.41,4.5563383374234947]
[null,null,null,null,null,2.42,4.5607749540492595]
[null,null,null,null,null,2.4300000000000002,4.565167204508767]
[null,null,null,null,null,2.44,4.5695155324636794]
[null,null,null,null,null,2.4500000000000002,4.5738203771390422]
[null,null,null,null,null,2.46,4.578082173367652]
[null,null,null,null,null,2.4700000000000002,4.5823013516339755]
[null,null,null,null,null,2.48,4.5864783381176357]
[null,null,null,null,null,2.4900000000000002,4.5906135547364597]
[null,null,null,null,null,2.5,4.5947074191890955]
[null,null,null,null,null,2.5100000000000002,4.5987603449972045]
[null,null,null,null,null,2.52,4.6027727415472324]
[null,null,null,null,null,2.5300000000000002,4.6067450141317599]
[null,null,null,null,null,2.54,4.6106775639904418]
[null,null,null,null,null,2.5500000000000003,4.6145707883505374]
[null,null,null,null,null,2.56,4.6184250804670324]
[null,null,null,null,null,2.57,4.6222408296623616]
[null,null,null,null,null,2.58,4.626018421365738]
[null,null,null,null,null,2.59,4.6297582371520809]
[null,null,null,null,null,2.6,4.6334606547805599]
[null,null,null,null,null,2.61,4.6371260482327541]
[null,null,null,null,null,2.62,4.6407547877504269]
[null,null,null,null,null,2.63,4.6443472398729231]
[null,null,null,null,null,2.64,4.6479037674741939]
[null,null,null,null,null,2.65,4.6514247297994515]
[null,null,null,null,null,2.66,4.6549104825014567]
[null,null,null,null,null,2.67,4.6583613776764423]
[null,null,null,null,null,2.68,4.6617777638996776]
[null,null,null,null,null,2.69,4.6651599862606812]
[null,null,null,null,null,2.7,4.6685083863980745]
[null,null,null,null,null,2.71,4.6718233025340936]
[null,null,null,null,null,2.72,4.6751050695087528]
[null,null,null,null,null,2.73,4.678354018813665]
[null,null,null,null,null,2.74,4.6815704786255283]
[null,null,null,null,null,2.75,4.6847547738392734]
[null,null,null,null,null,2.7600000000000002,4.6879072261008803]
[null,null,null,null,null,2.77,4.6910281538398717]
[null,null,null,null,null,2.7800000000000002,4.6941178723014731]
[null,null,null,null,null,2.79,4.6971766935784585]
[null,null,null,null,null,2.8000000000000003,4.700204926642674]
[null,null,null,null,null,2.81,4.7032028773762473]
[null,null,null,null,null,2.82,4.7061708486024845]
[null,null,null,null,null,2.83,4.7091091401164595]
[null,null,null,null,null,2.84,4.7120180487152945]
[null,null,null,null,null,2.85,4.7148978682281415]
[null,null,null,null,null,2.86,4.7177488895458604]
[null,null,null,null,null,2.87,4.7205714006504014]
[null,null,null,null,null,2.88,4.7233656866438976]
[null,null,null,null,null,2.89,4.7261320297774585]
[null,null,null,null,null,2.9,4.7288707094796836]
[null,null,null,null,null,2.91,4.7315820023848865]
[null,null,null,null,null,2.92,4.7342661823610372]
[null,null,null,null,null,2.93,4.7369235205374265]
[null,null,null,null,null,2.94,4.7395542853320523]
[null,null,null,null,null,2.95,4.7421587424787317]
[null,null,null,null,null,2.96,4.7447371550539446]
[null,null,null,null,null,2.97,4.7472897835034047]
[null,null,null,null,null,2.98,4.7498168856683707]
[null,null,null,null,null,2.99,4.7523187168116872]
[null,null,null,null,null,3,4.7547955296435704]
[null,null,null,null,null,3.0100000000000002,4.7572475743471347]
[null,null,null,null,null,3.02,4.7596750986036636]
[null,null,null,null,null,3.0300000000000002,4.7620783476176269]
[null,null,null,null,null,3.04,4.7644575641414511]
[null,null,null,null,null,3.0500000000000003,4.7668129885000363]
[null,null,null,null,null,3.06,4.7691448586150358]
[null,null,null,null,null,3.0700000000000003,4.7714534100288857]
[null,null,null,null,null,3.08,4.773738875928597]
[null,null,null,null,null,3.09,4.7760014871693111]
[null,null,null,null,null,3.1,4.7782414722976183]
[null,null,null,null,null,3.11,4.7804590575746424]
[null,null,null,null,null,3.12,4.7826544669988964]
[null,null,null,null,null,3.13,4.7848279223289074]
[null,null,null,null,null,3.14,4.7869796431056182]
[null,null,null,null,null,3.15,4.7891098466745623]
[null,null,null,null,null,3.16,4.7912187482078163]
[null,null,null,null,null,3.17,4.7933065607257381]
[null,null,null,null,null,3.18,4.795373495118481]
[null,null,null,null,null,3.19,4.7974197601672959]
[null,null,null,null,null,3.2,4.7994455625656229]
[null,null,null,null,null,3.21,4.8014511069399664]
[null,null,null,null,null,3.22,4.8034365958705667]
[null,null,null,null,null,3.23,4.8054022299118611]
[null,null,null,null,null,3.24,4.8073482076127423]
[null,null,null,null,null,3.25,4.8092747255366151]
[null,null,null,null,null,3.2600000000000002,4.8111819782812493]
[null,null,null,null,null,3.27,4.8130701584984372]
[null,null,null,null,null,3.2800000000000002,4.8149394569134527]
[null,null,null,null,null,3.29,4.8167900623443183]
[null,null,null,null,null,3.3000000000000003,4.8186221617208753]
[null,null,null,null,null,3.31,4.8204359401036667]
[null,null,null,null,null,3.3200000000000003,4.8222315807026304]
[null,null,null,null,null,3.33,4.8240092648956043]
[null,null,null,null,null,3.34,4.8257691722466483]
[null,null,null,null,null,3.35,4.8275114805241817]
[null,null,null,null,null,3.36,4.8292363657189394]
[null,null,null,null,null,3.37,4.8309440020617505]
[null,null,null,null,null,3.38,4.8326345620411333]
[null,null,null,null,null,3.39,4.8343082164207223]
[null,null,null,null,null,3.4,4.8359651342565151]
[null,null,null,null,null,3.41,4.8376054829139497]
[null,null,null,null,null,3.42,4.8392294280848098]
[null,null,null,null,null,3.43,4.8408371338039613]
[null,null,null,null,null,3.44,4.8424287624659215]
[null,null,null,null,null,3.45,4.8440044748412623]
[null,null,null,null,null,3.46,4.8455644300928498]
[null,null,null,null,null,3.47,4.8471087857919208]
[null,null,null,null,null,3.48,4.8486376979340013]
[null,null,null,null,null,3.49,4.8501513209546614]
[null,null,null,null,null,3.5,4.8516498077451145]
[null,null,null,null,null,3.5100000000000002,4.8531333096676637]
[null,null,null,null,null,3.52,4.8546019765709874]
[null,null,null,null,null,3.5300000000000002,4.8560559568052772]
[null,null,null,null,null,3.54,4.8574953972372246]
[null,null,null,null,null,3.5500000000000003,4.8589204432648527]
[null,null,null,null,null,3.56,4.8603312388322042]
[null,null,null,null,null,3.5700000000000003,4.8617279264438817]
[null,null,null,null,null,3.58,4.8631106471794432]
[null,null,null,null,null,3.59,4.8644795407076487]
[null,null,null,null,null,3.6,4.8658347453005719]
[null,null,null,null,null,3.61,4.8671763978475662]
[null,null,null,null,null,3.62,4.8685046338690903]
[null,null,null,null,null,3.63,4.8698195875303991]
[null,null,null,null,null,3.64,4.8711213916550955]
[null,null,null,null,null,3.65,4.8724101777385442]
[null,null,null,null,null,3.66,4.8736860759611584]
[null,null,null,null,null,3.67,4.8749492152015472]
[null,null,null,null,null,3.68,4.876199723049532]
[null,null,null,null,null,3.69,4.8774377258190365]
[null,null,null,null,null,3.7,4.8786633485608464]
[null,null,null,null,null,3.71,4.8798767150752376]
[null,null,null,null,null,3.72,4.881077947924485]
[null,null,null,null,null,3.73,4.8822671684452406]
[null,null,null,null,null,3.74,4.883444496760788]
[null,null,null,null,null,3.75,4.8846100517931799]
[null,null,null,null,null,3.7600000000000002,4.8857639512752478]
[null,null,null,null,null,3.77,4.8869063117624956]
[null,null,null,null,null,3.7800000000000002,4.8880372486448707]
[null,null,null,null,null,3.79,4.8891568761584221]
[null,null,null,null,null,3.8000000000000003,4.8902653073968381]
[null,null,null,null,null,3.81,4.8913626543228697]
[null,null,null,null,null,3.8200000000000003,4.8924490277796409]
[null,null,null,null,null,3.83,4.8935245375018441]
[null,null,null,null,null,3.84,4.8945892921268257]
[null,null,null,null,null,3.85,4.8956433992055572]
[null,null,null,null,null,3.86,4.8966869652135019]
[null,null,null,null,null,3.87,4.8977200955613664]
[null,null,null,null,null,3.88,4.8987428946057525]
[null,null,null,null,null,3.89,4.8997554656596947]
[null,null,null,null,null,3.9,4.9007579110030974]
[null,null,null,null,null,3.91,4.9017503318930666]
[null,null,null,null,null,3.92,4.9027328285741358]
[null,null,null,null,null,3.93,4.9037055002883942]
[null,null,null,null,null,3.94,4.9046684452855107]
[null,null,null,null,null,3.95,4.9056217608326556]
[null,null,null,null,null,3.96,4.9065655432243291]
[null,null,null,null,null,3.97,4.9074998877920857]
[null,null,null,null,null,3.98,4.9084248889141646]
[null,null,null,null,null,3.99,4.9093406400250226]
[null,null,null,null,null,4,4.910247233624772]
[null,null,null,null,null,4.01,4.911144761288524]
[null,null,null,null,null,4.0200000000000005,4.9120333136756384]
[null,null,null,null,null,4.03,4.9129129805388825]
[null,null,null,null,null,4.04,4.9137838507334939]
[null,null,null,null,null,4.05,4.914646012226159]
[null,null,null,null,null,4.0600000000000005,4.9154995521038973]
[null,null,null,null,null,4.07,4.9163445565828585]
[null,null,null,null,null,4.08,4.9171811110170296]
[null,null,null,null,null,4.09,4.918009299906859]
[null,null,null,null,null,4.0999999999999996,4.9188292069077901]
[null,null,null,null,null,4.1100000000000003,4.9196409148387126]
[null,null,null,null,null,4.12,4.9204445056903259]
[null,null,null,null,null,4.13,4.9212400606334228]
[null,null,null,null,null,4.1399999999999997,4.9220276600270889]
[null,null,null,null,null,4.1500000000000004,4.922807383426818]
[null,null,null,null,null,4.16,4.92357930959255]
[null,null,null,null,null,4.17,4.9243435164966245]
[null,null,null,null,null,4.18,4.9251000813316583]
[null,null,null,null,null,4.1900000000000004,4.9258490805183417]
[null,null,null,null,null,4.2,4.9265905897131583]
[null,null,null,null,null,4.21,4.9273246838160265]
[null,null,null,null,null,4.22,4.9280514369778663]
[null,null,null,null,null,4.2300000000000004,4.9287709226080878]
[null,null,null,null,null,4.24,4.9294832133820066]
[null,null,null,null,null,4.25,4.9301883812481861]
[null,null,null,null,null,4.26,4.9308864974357043]
[null,null,null,null,null,4.2700000000000005,4.9315776324613472]
[null,null,null,null,null,4.28,4.9322618561367335]
[null,null,null,null,null,4.29,4.9329392375753658]
[null,null,null,null,null,4.3,4.9336098451996122]
[null,null,null,null,null,4.3100000000000005,4.9342737467476159]
[null,null,null,null,null,4.32,4.9349310092801399]
[null,null,null,null,null,4.33,4.9355816991873382]
[null,null,null,null,null,4.34,4.9362258821954645]
[null,null,null,null,null,4.3500000000000005,4.9368636233735099]
[null,null,null,null,null,4.3600000000000003,4.9374949871397744]
[null,null,null,null,null,4.37,4.9381200372683764]
[null,null,null,null,null,4.38,4.938738836895693]
[null,null,null,null,null,4.3899999999999997,4.939351448526736]
[null,null,null,null,null,4.4000000000000004,4.9399579340414688]
[null,null,null,null,null,4.41,4.9405583547010536]
[null,null,null,null,null,4.42,4.9411527711540435]
[null,null,null,null,null,4.43,4.941741243442503]
[null,null,null,null,null,4.4400000000000004,4.9423238310080784]
[null,null,null,null,null,4.45,4.9429005926979972]
[null,null,null,null,null,4.46,4.9434715867710173]
[null,null,null,null,null,4.47,4.9440368709033073]
[null,null,null,null,null,4.4800000000000004,4.9445965021942744]
[null,null,null,null,null,4.49,4.9451505371723314]
[null,null,null,null,null,4.5,4.9456990318006078]
[null,null,null,null,null,4.51,4.946242041482602]
[null,null,null,null,null,4.5200000000000005,4.9467796210677761]
[null,null,null,null,null,4.53,4.9473118248570982]
[null,null,null,null,null,4.54,4.9478387066085272]
[null,null,null,null,null,4.55,4.9483603195424415]
[null,null,null,null,null,4.5600000000000005,4.9488767163470166]
[null,null,null,null,null,4.57,4.9493879491835466]
[null,null,null,null,null,4.58,4.9498940696917115]
[null,null,null,null,null,4.59,4.9503951289947947]
[null,null,null,null,null,4.6000000000000005,4.9508911777048468]
[null,null,null,null,null,4.6100000000000003,4.9513822659277986]
[null,null,null,null,null,4.62,4.9518684432685207]
[null,null,null,null,null,4.63,4.9523497588358358]
[null,null,null,null,null,4.6399999999999997,4.9528262612474778]
[null,null,null,null,null,4.6500000000000004,4.9532979986350032]
[null,null,null,null,null,4.66,4.953765018648653]
[null,null,null,null,null,4.67,4.9542273684621669]
[null,null,null,null,null,4.68,4.9546850947775454]
[null,null,null,null,null,4.6900000000000004,4.9551382438297695]
[null,null,null,null,null,4.7,4.9555868613914722]
[null,null,null,null,null,4.71,4.9560309927775572]
[null,null,null,null,null,4.72,4.9564706828497815]
[null,null,null,null,null,4.7300000000000004,4.9569059760212841]
[null,null,null,null,null,4.74,4.9573369162610712]
[null,null,null,null,null,4.75,4.9577635470984607]
[null,null,null,null,null,4.76,4.958185911627476]
[null,null,null,null,null,4.7700000000000005,4.958604052511201]
[null,null,null,null,null,4.78,4.9590180119860889]
[null,null,null,null,null,4.79,4.9594278318662282]
[null,null,null,null,null,4.8,4.9598335535475657]
[null,null,null,null,null,4.8100000000000005,4.9602352180120901]
[null,null,null,null,null,4.82,4.9606328658319692]
[null,null,null,null,null,4.83,4.9610265371736491]
[null,null,null,null,null,4.84,4.9614162718019124]
[null,null,null,null,null,4.8500000000000005,4.9618021090838935]
[null,null,null,null,null,4.8600000000000003,4.9621840879930543]
[null,null,null,null,null,4.87,4.9625622471131239]
[null,null,null,null,null,4.88,4.9629366246419924]
[null,null,null,null,null,4.8899999999999997,4.9633072583955729]
[null,null,null,null,null,4.9000000000000004,4.9636741858116169]
[null,null,null,null,null,4.91,4.9640374439535009]
[null,null,null,null,null,4.92,4.9643970695139661]
[null,null,null,null,null,4.93,4.9647530988188269]
[null,null,null,null,null,4.9400000000000004,4.9651055678306388]
[null,null,null,null,null,4.95,4.9654545121523324]
[null,null,null,null,null,4.96,4.9657999670308088]
[null,null,null,null,null,4.97,4.9661419673605005]
[null,null,null,null,null,4.9800000000000004,4.9664805476868956]
[null,null,null,null,null,4.99,4.9668157422100263]
[null,null,null,null,null,5,4.9671475847879263]