{"schemaVersion":1,"studyVersion":1,"exhibitId":"chaos","runId":"run-20260917003910210-62944-014","caseLabel":"ε=0.00001 · h=0.01 · T=1","modelVersion":"chaos-rk4-1.0.0","parameters":{"sigma":10,"rho":28,"beta":2.6666666666666665,"epsilon":0.00001,"step":0.01,"duration":1,"threshold":1,"compareStep":true},"numericalMethod":"Double-precision classical RK4. Fixed h; half-step samples compared at indices i and 2i. Residual: requested versus integrated time-grid endpoint.","softwareVersion":"0.1.0+0e6017e6a747.dirty.02665ba9098c","createdAt":"2026-09-17T00:39:15.907Z","observables":[{"label":"Base integration step h","value":0.01,"unit":"model time","precision":6},{"label":"Integrated duration","value":1,"unit":"model time","precision":6,"description":"Requested T=1; 100 complete fixed steps."},{"label":"Initial separation","value":0.000010000000000065512,"precision":8},{"label":"Final separation","value":0.000011160313572386339,"precision":8},{"label":"Maximum sampled separation","value":0.00020107317990149677,"precision":8},{"label":"First sampled threshold crossing","value":"Not observed","precision":6,"description":"First d(t) > 1; conditional on this run and sample grid."},{"label":"Full exported sample rows","value":201},{"label":"Short-window maximum step difference","value":0.000749085575087332,"precision":8,"description":"Same initial state; h versus h/2 at 101 common points through t=1."},{"label":"Short-window endpoint difference","value":0.00009276287013989525,"precision":8}],"warnings":["Finite RK4 trajectories approximate this model; separation does not prove all properties of chaos or predict actual weather.","The diagnostic residual checks time-grid alignment only. It is not a bound on integration error.","The separation threshold was not exceeded in this observation window.","Step comparison fixes the initial state; its short-window difference is not a certified error estimate. Long-time divergence is recorded separately."],"sourceIds":["M7","M12"],"result":{"exhibitId":"chaos","modelVersion":"chaos-rk4-1.0.0","parameters":{"sigma":10,"rho":28,"beta":2.6666666666666665,"epsilon":0.00001,"step":0.01,"duration":1,"threshold":1,"compareStep":true},"integration":{"method":"Classical fixed-step RK4","precision":"IEEE 754 binary64","baseStep":0.01,"baseSteps":100,"requestedDuration":1,"integratedDuration":1,"alignmentResidual":0,"referenceInitial":[1,1,1],"perturbedInitial":[1.00001,1,1],"halfStep":0.005,"halfSteps":200,"halfStepInitial":[1,1,1]},"separation":{"initial":0.000010000000000065512,"final":0.000011160313572386339,"maximum":0.00020107317990149677,"threshold":1,"firstCrossingIndex":null,"firstCrossingTime":null,"zeroSamples":0},"comparison":{"enabled":true,"requestedShortEnd":1,"lastCommonTime":1,"commonSamples":101,"maximumShortDifference":0.000749085575087332,"finalShortDifference":0.00009276287013989525,"maximumFullDifference":0.000749085575087332},"equilibria":[{"point":[0,0,0],"rhsNorm":0},{"point":[8.48528137423857,8.48528137423857,27],"rhsNorm":1.4210854715202004e-14},{"point":[-8.48528137423857,-8.48528137423857,27],"rhsNorm":1.4210854715202004e-14}],"bounds":{"min":[-9.761521846313755,-10.396341828460208,0.9617372249104278],"max":[19.562890239029553,27.183491645546006,47.83402664240577]},"sampling":{"authoritativeTable":"csv.rows contains every computed trajectory state once, at its own time grid.","rows":201,"baseRowStride":2,"sceneCap":2500,"plotCap":2000,"sceneStride":1,"plotStride":1,"missingCells":"Empty cells on odd half-step rows mean no coarse sample was computed there. Values are never interpolated. Without comparison all half-step fields are empty."},"csv":{"columns":["time","reference_x","reference_y","reference_z","perturbed_x","perturbed_y","perturbed_z","separation","half_step_x","half_step_y","half_step_z","step_difference"],"rows":[[0,1,1,1,1.00001,1,1,0.000010000000000065512,1,1,1,0],[0.005,"","","","","","","",1.0031933311430772,1.129839801362649,0.9920510551862709,""],[0.01,1.0125671910736112,1.2599177989452743,0.9848909717916053,1.0125763656701614,1.2599203669647892,0.9848910912376172,0.000009527970058630384,1.0125658149092767,1.2599198974330774,0.9848910409673466,0.0000025104311618476496],[0.015,"","","","","","","",1.0278478671591968,1.3910493583004844,0.9785606772763644,""],[0.02,1.0488237097089568,1.5239971313226008,0.973114219876485,1.0488323712581915,1.5240020629643398,0.9731144965482488,0.000009970961470802359,1.0488215817729383,1.5240006326267814,0.973114332664923,0.000004098775902091414],[0.025,"","","","","","","",1.0753165889060488,1.6595161460412107,0.9686199106967628,""],[0.03,1.1072088542956613,1.7983098897421352,0.9651589513000616,1.107217269887161,1.7983170592521103,0.9651594247156661,0.000011065630389000667,1.1072064229216019,1.7983143351741737,0.9651590842529619,0.000005068641070274829],[0.035,"","","","","","","",1.1444053490665806,1.9410951751127343,0.9628278464976645,""],[0.04,1.1868680166603462,2.0885401422061625,0.9617372249104278,1.1868764193270651,2.088549490939298,0.9617379402833702,0.000012590289022746331,1.1868656030910352,2.08854525111607,0.9617373580214121,0.000005651901962807757],[0.045,"","","","","","","",1.2345750025557631,2.241342418717155,0.9620150787627566,""],[0.05,1.287557057257908,2.4001544636681382,0.9638060638197575,1.2875656551548078,2.400165991207006,0.9638070756970665,0.000014416375381440669,1.2875548925771738,2.4001600898084896,0.9638061810826238,0.000006029348929553853],[0.055,"","","","","","","",1.3458583922504268,2.565671175896407,0.9672752471292346,""],[0.06,1.4095706581041882,2.738545613747143,0.9726081698899176,1.4095796420740454,2.7385593711237584,0.9726095458726051,0.000016488494597266845,1.4095689110023955,2.738551713325957,0.9726082596217598,0.000006345492745759916],[0.065,"","","","","","","",1.47879890667712,2.9194841888280503,0.9800149005842982,""],[0.07,1.5536900616953837,3.109153968487564,0.9897311222754546,1.5536996115518742,3.109170053032215,0.9897329471439367,0.00001879474609009438,1.5536888592645857,3.1091605771104667,0.989731177520313,0.000006717349811381266],[0.075,"","","","","","","",1.6344064358587005,3.3082850952790492,1.0020224011348977,""],[0.08,1.7211463804529996,3.517569455166498,1.0171865238383704,1.7211566702368997,3.5175880065534693,1.0171889043683853,0.000021347143471926065,1.721145823675111,3.5175766714949583,1.0171865430563523,0.000007237801281643258],[0.085,"","","","","","","",1.8141272087694906,3.7377711172928563,1.0355580061136573,""],[0.09,1.9135962032916782,3.969615009809224,1.0575118553930003,1.9136074056917673,3.9696362068854247,1.0575149261378027,0.000024171042196167685,1.913596378459932,3.9696229842307034,1.0575118435919515,0.000007976353873104926],[0.095,"","","","","","","",2.01982442535251,4.213907075823311,1.083468467476255,""],[0.1,2.133106543293639,4.471410647871953,1.1138989184687214,2.1331188333657387,4.471434705837843,1.1139028487906513,0.00002729979899988109,2.1331075302676483,4.471419574817645,1.1138988889249244,0.000008981389086242611],[0.105,"","","","","","","",2.253766800227863,4.742978733565949,1.1493305369607583,""],[0.11,2.3821462580297044,5.029414948512368,1.190353726717964,2.3821598162913054,5.02944211597023,1.1903587293679534,0.00003077212588109001,2.3821481359461196,5.029425061289734,1.1903537034439566,0.000010285688007665051],[0.115,"","","","","","","",2.518622100889255,5.331620926130269,1.237628663542835,""],[0.12,2.663580910085269,5.650437904613584,1.291893499664662,2.6635959250052674,5.650468459898773,1.291899841221977,0.00003463074681160257,2.6635837609126236,5.65044947175931,1.2918935208070974,0.000011913291898045371],[0.125,"","","","","","","",2.8174524595893122,5.9868127276761225,1.353972824134742,""],[0.13,2.9806675794712945,6.341615446625255,1.424786877461354,2.9806842493099035,6.341649692681827,1.424794890944594,0.00003892161126693761,2.980671489597979,6.341628768841164,1.4247869998443237,0.000013884721999745214],[0.135,"","","","","","","",3.153707614785776,6.715827753704589,1.5053626350079214,""],[0.14,3.3370453308022423,7.110331233006836,1.5968433322113875,3.337063864680042,7.110369489848248,1.5968534321356476,0.00004369323759097293,3.3370503906766906,7.110346639727543,1.5968436372778918,0.00001621919967060126],[0.145,"","","","","","","",3.531211223135485,7.526122341983279,1.700503280553316,""],[0.15,3.736715793797584,7.964065218724182,1.8177565221880947,3.736736411779078,7.964107812220433,1.8177692222418877,0.000048995902381626,3.736722095506965,7.964083063295478,1.8177571236354484,0.000018934149169836438],[0.155,"","","","","","","",3.9541338837198006,8.425137483730884,1.950176758888751,""],[0.16,4.184006533877147,8.910140801134848,2.0995032544473453,4.184029465736845,8.910188046480563,2.0995191877502597,0.00005488044298995494,4.184014166480313,8.910161453480478,2.0995043079111877,0.00002204281736131082],[0.165,"","","","","","","",4.426944423722423,9.419981786974734,2.267667529033381,""],[0.17,4.6835074584379015,9.955332873168455,2.4567936192098947,4.683532940629691,9.955385050913474,2.4568135607198522,0.00006139644120826608,4.683516500914063,9.955356708732168,2.456795334455951,0.000025550783582570274],[0.17500000000000002,"","","","","","","",4.9543281997141575,10.516952454875595,2.669233429983313,""],[0.18,5.23996732507253,11.10528810758652,2.9075570279825036,5.239995595241549,11.105345429576756,2.907581917953205,0.00006858953026827534,5.239977837006904,11.105315491321852,2.9075596842866434,0.000029452091210076505],[0.185,"","","","","","","",5.541057594849289,11.72083977440085,3.174598703870282,""],[0.19,5.858133453147396,12.36369719331315,3.4734309649311634,5.858164741308272,12.363759755366868,3.4734619312467627,0.00007649753118974831,5.858145463907529,12.363728457640505,3.473434930815988,0.000033726025060039305],[0.195,"","","","","","","",6.191795563370903,13.03394944709199,3.807423389566392,""],[0.2,6.5425131039448585,13.731148820534642,4.180191224257707,6.5425476192118905,13.731216538323011,4.180229599836159,0.00008514509698959155,6.542526602334766,13.731184236560876,4.180196983788113,0.000038336322656331205],[0.20500000000000002,"","","","","","","",6.9108082329335705,14.454769525811512,4.595668983352015,""],[0.21,7.297030107878633,15.203591512746565,5.05802085564536,7.297068019403143,15.203664037449032,5.058068184745249,0.00009453655301017977,7.297045036367132,15.203631254583023,5.05802904552981,0.000043235951952627256],[0.215,"","","","","","","",7.7015578824026365,15.976210891653654,5.571730787915291,""],[0.22,8.12454615397512,16.770340020640496,6.141457117196823,8.124587564587573,16.770416631999417,6.141515141290625,0.00010464671328330671,8.12456241479129,16.770384122909455,6.141468582630287,0.00004838264600406299],[0.225,"","","","","","","",8.566144444090805,17.58337250973445,6.77214088834008,""],[0.23,9.026214596875773,18.411600957531068,7.468781220969554,9.026259507963536,18.411680434694233,7.468851830969401,0.00011540969347169888,9.026232081407123,18.411649264802445,7.468797104047666,0.00005377335283210898],[0.23500000000000001,"","","","","","","",9.504564528302849,19.250841041546003,8.236564653994654,""],[0.24,10.000638900189825,20.09557647590029,9.080530965857381,10.000687166758032,20.095656951940366,9.080616103459837,0.0001267062192028042,10.000657557113271,20.095628577009695,9.080552848141286,0.00005951000539794501],[0.245,"","","","","","","",10.513765880151139,20.939650176853963,10.005730076073597,""],[0.25,11.042822865168166,21.775358255594952,11.01674104259968,11.042874141110364,21.775437070961388,11.016842530739048,0.00013835073786248102,11.042842823547588,21.775413380763332,11.01677116980709,0.0000659148672486769],[0.255,"","","","","","","",11.586497998320404,22.594221665351647,12.117872415263609,""],[0.26,12.142932246511164,23.386067832954158,13.312491205128946,12.142985922204689,23.386141417069698,13.312610488630403,0.0001500808310713726,12.142954001536348,23.386124661745068,13.31253281743665,0.0000737182253556569],[0.265,"","","","","","","",12.71000358332654,24.13990196908998,14.603301946796265,""],[0.27,13.284944531581942,24.84303577300723,15.99143936015684,13.284999669342453,24.84309960100827,15.991577146772004,0.00016155289433887845,13.28496917308066,24.843092055477182,15.991497116412464,0.00008432499597854715],[0.275,"","","","","","","",13.86466715250257,25.482078708244444,17.476895824032038,""],[0.28,14.445350356308861,26.042195863755655,19.0573329443026,14.445405634068704,26.042244553037396,19.057488758408454,0.00017234939069313404,14.44537976365828,26.04224771262711,19.05741333305154,0.00010007721332396404],[0.28500000000000003,"","","","","","","",15.022838000770577,26.508225533744927,20.728779842542046,""],[0.29,15.59218235131815,26.86416864090704,22.484125186663082,15.592236030596927,26.864196260651894,22.48429688666278,0.00018200331088170845,15.592219193024194,26.864209363892794,22.484236638974185,0.00012424689341441287],[0.295,"","","","","","","",16.14816316448977,27.094393624097222,24.314275474491797,""],[0.3,16.684763476222155,27.183473135838227,26.206297329352736,16.684813415416308,27.18347378761866,26.206480692804213,0.00019004342468969073,16.684810768146267,27.183491645546006,26.206449520443847,0.00016044084137707435],[0.305,"","","","","","","",17.195868143728106,27.11734279747719,28.145286761230736,""],[0.31,17.674639193181452,26.883605839670704,30.11213496677724,17.674682928447165,26.883574512706943,30.112323499651932,0.0001960581468976065,17.674699165564085,26.883585104265606,30.11233667406105,0.00021145323843724896],[0.315,"","","","","","","",18.114447178724095,26.472362165038533,32.08637756215713,""],[0.32,18.508113055511043,25.87710555038675,34.04354909045799,18.508147965224726,25.87703915521541,34.043734237917704,0.0001997663353188291,18.508185272515274,25.87702218003054,34.04380427054383,0.00027799782050645395],[0.325,"","","","","","","",18.84909208277326,25.094757736780643,35.95920396876325,""],[0.33,19.1305684710664,24.12730309090413,37.80580894204774,19.13059202314941,24.127201450586888,37.805980828548,0.00020107317990149677,19.130647604633843,24.127129587987074,37.80611167099256,0.0003577851279101765],[0.335,"","","","","","","",19.346840975061536,22.980417760344213,39.55791845501267,""],[0.34,19.492305712216258,21.666039591944067,41.188555667987806,19.492315767609917,21.665906077042937,41.18870435180277,0.00020008552320769393,19.492379954962203,21.665750293382104,41.188886051788,0.00044537523360874],[0.34500000000000003,"","","","","","","",19.562890239029553,20.19897414733064,42.67520435888593,""],[0.35000000000000003,19.55504067658528,18.600673705396396,43.995692383751184,19.555035794448717,18.600515213576763,43.99580940350334,0.00019707134378682203,19.55509205793659,18.60025355061123,43.99601644992618,0.0005330937746179078],[0.355,"","","","","","","",19.466942036253414,16.89340617381564,45.13433140329577,""],[0.36,19.29772265587893,15.10556106855362,46.07747480547931,19.29770232969821,15.105387216198665,46.07755461653232,0.00019237359259458112,19.297730012164557,15.105013797815031,46.077750356231675,0.0006127704246949553],[0.365,"","","","","","","",19.048123414992713,13.263367774037054,46.81894572086023,""],[0.37,18.720211528858894,11.397975590941046,47.35566866513325,18.72017628970051,11.39779725979103,47.35570952806743,0.0001863157984152049,18.720155556022313,11.39732688390803,47.355855916400316,0.0006775077934131457],[0.375,"","","","","","","",18.31715839373253,9.535173443913543,47.691585237465986,""],[0.38,17.84377602111624,7.704258411724355,47.8339540885982,17.843727376963447,7.704086046196412,47.83395813532651,0.00017914381048270326,17.843644485259958,7.703551453459032,47.83402664240577,0.0007227418110154394],[0.385,"","","","","","","",17.305146439387716,5.926558811916236,47.79525024690362,""],[0.39,16.708233976044365,4.225761245191734,47.590767694436195,16.70817420264264,4.225603383589322,47.59074019294529,0.00017102478496456373,16.70802484332773,4.225046329102305,47.59071879198394,0.0007464803801355883],[0.395,"","","","","","","",16.059257102625672,2.6161527043368853,47.23840129164669,""],[0.4,15.36649853610646,1.1137575723060125,46.75801524533206,15.36643037472025,1.1136199709313672,46.75796335637981,0.00016208817427523924,15.366219851303587,1.1130804990890437,46.75785701815894,0.000749085575087332],[0.405,"","","","","","","",14.636476672821155,-0.274903345472975,46.169355002052555,""],[0.41000000000000003,13.8779140647848,-1.541669257408179,45.49332413262051,13.877840399370484,-1.5417838013043972,45.49325556719857,0.00015247332393950464,13.877581069939536,-1.5422753300307617,45.49308143076948,0.0007328804672725768],[0.41500000000000004,"","","","","","","",13.096902256038119,-2.6869146546978344,44.74847135219866,""],[0.42,12.301847669032467,-3.7091436620254155,43.95398203191598,12.301771246358882,-3.709234921224355,43.95390395197101,0.00014235569618203632,12.301478747901719,-3.7096609656128434,43.9536845032196,0.0007015904271350255],[0.425,"","","","","","","",11.497902218343713,-4.61381620902168,43.12522999003216,""],[0.43,10.692618795643357,-5.4042063806947525,42.27805673597419,10.692542026203364,-5.404275998651985,42.27797507020022,0.00013194508525901896,10.692231842532507,-5.404630793602337,42.277732343589854,0.0006596131026104117],[0.435,"","","","","","","",9.889937585438584,-6.088806444764604,41.42382281473366,""],[0.44,9.096259495061068,-6.673702328154929,40.57446333442512,9.096184344072867,-6.67375306006846,40.574382510688814,0.00012146552773645698,9.095869588057623,-6.674039386617606,40.57413467799621,0.0006112699296209957],[0.445,"","","","","","","",8.314250008012005,-7.16861897690471,39.73737934636502,""],[0.45,7.549064835047911,-7.58082876743981,38.92079736634692,7.548992791695289,-7.580863830966342,38.92072035758899,0.00011113075338250557,7.548683299355828,-7.581089441078324,38.92048057627013,0.0005602465376072193],[0.455,"","","","","","","",6.802180893661791,-7.919976332579823,38.1287462015074,""],[0.46,6.077561995704038,-8.193377576269977,37.36635469792174,6.077494098504494,-8.19340018510275,37.36628324829853,0.00010112486184183363,6.077196477383842,-8.193574914766002,37.366059966502114,0.0005093257642497373],[0.465,"","","","","","","",5.375668460633151,-8.409794728307036,36.63507954821795,""],[0.47000000000000003,4.699411654338609,-8.575906018003844,35.937697503277114,4.699348549400934,-8.575919099609722,35.93763242099647,0.00009159183819987713,4.699066723517139,-8.57605295992247,35.93743033127765,0.0004603803605120327],[0.47500000000000003,"","","","","","","",4.048441247639998,-8.699208590799312,35.27388765247037,""],[0.48,3.4247928377574928,-8.785421214973157,34.64478035787681,3.4247348508539055,-8.785427276142755,34.644721799953366,0.00008263322069705108,3.42447074837313,-8.785529398153253,34.64454290715831,0.0004145214297132163],[0.485,"","","","","","","",2.827509889294085,-8.840684461459052,34.048951057484196,""],[0.49,2.257932674251289,-8.869676409303226,33.486466458030264,2.25787988357384,-8.869677502811225,33.486414169109395,0.00007431138964504518,2.257634067509933,-8.869755680659305,33.48625871417358,0.00037230020664468926],[0.495,"","","","","","","",1.7146811007711147,-8.877262790895616,32.95531313398643,""],[0.5,1.1985649578564033,-8.867139000908745,32.45493260144154,1.1985172598542604,-8.867136751688962,32.45488609511535,0.00006665580825404234,1.1982894244840312,-8.867197346689162,32.4547532570271,0.0003338971224410397],[0.505,"","","","","","","",0.7079326234656576,-8.84306207673094,31.98308438075146,""],[0.51,0.24320379492969113,-8.807869143628082,31.538891232001955,0.24316095979911645,-8.807864803734649,31.53884991799473,0.00005967017914508553,0.24295028654111178,-8.807912837867578,31.538738305006092,0.000299269703961059],[0.515,"","","","","","","",-0.19742471008665818,-8.764401105299383,31.120120849949316,""],[0.52,-0.6138094172321458,-8.714781678853944,30.725777360647303,-0.6138477011235145,-8.71477619141458,30.725740627714586,0.00005333926016624582,-0.6140423042285839,-8.714815522621052,30.725648600086757,0.00026825554166537945],[0.525,"","","","","","","",-1.0078144965282405,-8.661121506971925,30.35377660533146,""],[0.53,-1.3794836451064196,-8.604970693938741,30.003125470511474,-1.379517737065683,-8.60496475492341,30.003092736229313,0.00004763472281999687,-1.3796974814057847,-8.604998273439948,30.003018605972745,0.00024063794682221873],[0.535,"","","","","","","",-1.730676383982753,-8.547872923552982,29.671961165824715,""],[0.54,-2.0615559258145817,-8.4909275227192,29.359360029307098,-2.0615862074614926,-8.490921635220506,29.359330766736743,0.000042519863643511264,-2.061752328358292,-8.490951450116192,29.359272912543958,0.0002161846662524365],[0.545,"","","","","","","",-2.3739315726545107,-8.43524665887227,29.06370990648875,""],[0.55,-2.6680359054411116,-8.381580987130713,28.78418732037266,-2.6680627624834963,-8.381575506420814,28.784161069505103,0.000037953220602390075,-2.668216461839478,-8.381603109007855,28.784117995702328,0.00019466869382591965],[0.555,"","","","","","","",-2.945597968195947,-8.3307192401474,28.519432867805623,""],[0.56,-3.206883387036666,-8.283145322205414,28.268731651089862,-3.2069071966251217,-8.283140491762213,28.268708020861965,0.000033891257787313446,-3.2070496097471497,-8.283166892088756,28.268678380880257,0.0001758776977881979],[0.5650000000000001,"","","","","","","",-3.453522557767833,-8.239408442366779,28.03096364455483,""],[0.5700000000000001,-3.68578846504676,-8.199789974507166,27.805517965114426,-3.6858095873661743,-8.19978595408704,27.80549663000433,0.000030290313272961862,-3.6859417648624184,-8.19981179149845,27.80547922839095,0.00015961625335541842],[0.5750000000000001,"","","","","","","",-3.90520296443307,-8.16466342089494,27.591492795758697,""],[0.58,-4.112028738345595,-8.134157219329186,27.388369919847037,-4.112047511348444,-8.1341541064459,27.388350613690875,0.00002710799409896065,-4.112170410354644,-8.134179737286273,27.38834439595452,0.00014570341666796945],[0.585,"","","","","","","",-4.30767524214541,-8.108516902593026,27.195441593579886,""],[0.59,-4.492383158216855,-8.087755919008199,27.012268025520157,-4.492399894637069,-8.087753765148149,27.012250534211105,0.00002430417180336573,-4.4925143758094475,-8.087779331313984,27.012254570475154,0.00013396727549656694],[0.595,"","","","","","","",-4.667449833844321,-8.072027019963722,26.838311300235652,""],[0.6,-4.833086625659789,-8.061257551056048,26.67319524690961,-4.8331016116471135,-8.061256373793364,26.6731794009676,0.000021841695027779456,-4.833208439722819,-8.06128185576859,26.67319286713759,0.00012423786990504925],[0.605,"","","","","","","",-4.990481812568962,-8.055533035287315,26.51652897895556,""],[0.61,-5.139813265433318,-8.054716658643637,26.36798587942145,-5.139826760311671,-8.054716450611297,26.36797154697783,0.000019686898163763108,-5.139926606872175,-8.0547417082125,26.367993705616783,0.00011634007046461677],[0.615,"","","","","","","",-5.282164950042562,-8.058844947518809,26.227301462022805,""],[0.62,-5.417679353166329,-8.06773359539284,26.09418598035244,-5.417691589948077,-8.06773433086602,26.094173060811016,0.00001780994943597994,-5.417785037528083,-8.067759134425547,26.094203242932448,0.00011008825177840938],[0.625,"","","","","","","",-5.547341851209806,-8.081382835330917,25.968483109920747,""],[0.63,-5.6712592385945015,-8.099573543999979,25.849928917764693,-5.671270424980984,-8.099575183675556,25.849917336227307,0.000016185048247311702,-5.671357971975875,-8.099599237896971,25.849954924595362,0.0001052844346597282],[0.635,"","","","","","","",-5.79032446185079,-8.122278204731517,25.738459318045177,""],[0.64,-5.904609409225119,-8.149252538822719,25.633826766978252,-5.904619728897966,-8.149255033239479,25.633816469421998,0.00001479045054967742,-5.904701794916882,-8.149277995522535,25.633860883572975,0.00010172070410421258],[0.645,"","","","","","","",-6.01492081959252,-8.180446701921467,25.536045577848604,""],[0.65,-6.1212971921996555,-8.215598647231472,25.444876682361244,-6.121306806262894,-8.21560193916752,25.444867631499793,0.000013608274978952088,-6.121383737700099,-8.215623433833267,25.444918314486944,0.00009918534753640771],[0.655,"","","","","","","",-6.224465088230944,-8.254639290946603,25.360400733528145,""],[0.66,-6.324431601694228,-8.29729449357503,25.282380551739696,-6.324440650168397,-8.297298519677433,25.282372723475675,0.000012624028791423636,-6.324512725850341,-8.297318149227072,25.28242913023285,0.00009747096273031658],[0.665,"","","","","","","",-6.421848786032964,-8.343477288607865,25.210952526890495,""],[0.67,-6.516694590194046,-8.39290583901643,25.145875904336897,-6.5167031934941395,-8.392910530858146,25.14586928470432,0.000011825805960493934,-6.51677063031939,-8.392927885162864,25.14593087188546,0.00009638238755121111],[0.675,"","","","","","","",-6.609551766574649,-8.445475388562237,25.087333351005416,""],[0.68,-6.7003715214562245,-8.500899854676177,25.035075997202405,-6.700379781808134,-8.500905139391872,25.035070579700804,0.000011203167285703008,-6.700442740341026,-8.500919803524022,25.03513679685569,0.00009574280088885969],[0.685,"","","","","","","",-6.78967199443637,-8.55905589222864,24.989324183223015,""],[0.6900000000000001,-6.877380102100065,-8.619655951316144,24.949817127076045,-6.877388104867338,-8.619661751937619,24.94981291030615,0.000010745819739048408,-6.877446694878662,-8.61967331320503,24.949883192281384,0.00009539729924587811],[0.6950000000000001,"","","","","","","",-6.96395352203677,-8.682556710981869,24.916804843630654,""],[0.7000000000000001,-7.049297325754584,-8.747471479569828,24.89001142927015,-7.049305140660388,-8.747477715160112,24.890008414792607,0.000010442337562046486,-7.049359426632438,-8.747485769784905,24.89008217528925,0.00009521411920423871],[0.705,"","","","","","","",-7.133812350863154,-8.814235243716162,24.86970896791536,""],[0.71,-7.2173842266214505,-8.88256422968818,24.85560368808003,-7.217391908860713,-8.882570815358354,24.85560187843165,0.000010279235331399847,-7.2174419154909675,-8.882574975140784,24.855678504699732,0.00009508415746771523],[0.715,"","","","","","","",-7.300360074257732,-8.952269912403938,24.847982360553374,""],[0.72,-7.382608428457267,-9.023073391375197,24.846530969886715,-7.382616019701931,-9.023080238257716,24.846530366702574,0.000010240636058445929,-7.382661737450258,-9.023080137477162,24.846609215402736,0.00009491954173373075],[0.725,"","","","","","","",-7.464425366855154,-9.094760913666804,24.851543687602337,""],[0.73,-7.545664624681769,-9.167060445115759,24.862684188165584,-7.5456721539884475,-9.16706746036081,24.862684790369546,0.000010308577583945483,-7.545713544717378,-9.167062763084282,24.862765184679336,0.00009465187849193096],[0.735,"","","","","","","",-7.6265735196517275,-9.239731583157612,24.88024676983555,""],[0.74,-7.706993245363883,-9.31251131629089,24.90387101372406,-7.707000729998405,-9.312518403146916,24.903872815764778,0.0000104637771867725,-7.7070377327547845,-9.312508811036068,24.903954043848216,0.00009423059889587275],[0.745,"","","","","","","",-7.787124327427149,-9.385131644285936,24.933844043229133,""],[0.75,-7.866797663465359,-9.457341007114616,24.969779851603544,-7.866805109662877,-9.457348065149354,24.969782841727742,0.000010686559528744942,-7.8668376466421455,-9.45733332577696,24.969864156718536,0.00009362163098322161],[0.755,"","","","","","","",-7.946168721586762,-9.528843500099265,25.01195106339949,""],[0.76,-8.025060369347514,-9.59940180709551,25.059944916675402,-8.02506777303021,-9.599408732608822,25.05994907524513,0.000010957689275755657,-8.025095755751753,-9.599388648213203,25.060029696913137,0.00009280647875523745],[0.765,"","","","","","","",-8.103584608658364,-9.668692606305028,25.11401224142457,""],[0.77,-8.18155860029555,-9.73649605079212,25.173712749971855,-8.181565947772453,-9.736502737465601,25.173718047847345,0.000011258974367536827,-8.18158928347612,-9.736477173986621,25.173797166121204,0.00009178168459256331],[0.775,"","","","","","","",-8.259052422806336,-9.802462816026344,25.23926830610512,""],[0.78,-8.335879949950392,-9.866394224747689,25.310210821023528,-8.3358872186254,-9.866400564567721,25.3102172180478,0.00001157362838306035,-8.335905816875822,-9.8663694607219,25.31029399855099,0.00009055857705931065],[0.785,"","","","","","","",-8.41207092830077,-9.92791739681894,25.386726283921398,""],[0.79,-8.487438498866176,-9.986859008990091,25.46831914748549,-8.487445657980844,-9.986864893469958,25.468326591120487,0.000011886451450410254,-8.487459437438398,-9.986828269538284,25.468400182840647,0.00008916314535272476],[0.795,"","","","","","","",-8.561973812139737,-10.04282617480168,25.555133059901742,""],[0.8,-8.635491998724444,-10.095675561508855,25.64664611686894,-8.635499010161396,-10.095680883221448,25.646654541044786,0.000012183907900991646,-8.635507905447708,-10.095638849146182,25.646724086195082,0.00008763582165499384],[0.805,"","","","","","","",-8.707947584447673,-10.144998951101286,25.742953812674838,""],[0.81,-8.779160605346805,-10.190688011248621,25.843509896300695,-8.77916742451741,-10.190692665663734,25.843519220548732,0.000012454166742414695,-8.779171393070802,-10.190645427986373,25.84358386659486,0.00008603088765894334],[0.8150000000000001,"","","","","","","",-8.84905125117299,-10.23232496018984,25.948356783124954,""],[0.8200000000000001,-8.917447586043432,-10.269841718314034,26.05692694121358,-8.917454162879586,-10.269845605913694,26.056937070158792,0.000012687148460662011,-8.917453191663828,-10.269793473042471,26.056995983877584,0.00008441515658437212],[0.8250000000000001,"","","","","","","",-8.984238136842999,-10.30281770442842,26.169205913414395,""],[0.8300000000000001,-9.049262322453647,-10.331230400423348,26.284609137247667,-9.049268602518021,-10.331233429045621,26.284619960535867,0.000012874600144521346,-9.049262714418546,-10.331176814325485,26.284672343845294,0.00008286553870118235],[0.835,"","","","","","","",-9.112380112938139,-10.354664020574905,26.403062856369512,""],[0.84,-9.173445790127637,-10.373146733981207,26.52397100714292,-9.17345171584948,-10.373148821318754,26.52398239987123,0.0000130102042933092,-9.173440975567393,-10.37308824339699,26.524027507033722,0.0000814651219421745],[0.845,"","","","","","","",-9.23229433030794,-10.386275739542585,26.647199682100254,""],[0.85,-9.288798522600215,-10.394134549356007,26.772148166873997,-9.288804034634957,-10.394135625512083,26.772159990579222,0.000013089715205204335,-9.28878855387311,-10.39407170555447,26.77219714624038,0.00008029755440245216],[0.855,"","","","","","","",-9.342772365544254,-10.396341828460208,26.898623284314574,""],[0.86,-9.394110866000608,-10.393040295978027,27.026027813171904,-9.394115904701394,-10.39304030596187,27.026039917409697,0.000013111108948187344,-9.394095846430806,-10.392973761380686,27.026068534804597,0.00007943986083544623],[0.865,"","","","","","","",-9.44261147866905,-10.383878501065627,27.15411201006183,""],[0.87,-9.488195109657806,-10.369061103768889,27.282291472411423,-9.488199616636171,-10.36906000979699,27.28230369693042,0.000013074727271167863,-9.488175198236664,-10.368991644302525,27.28232329548343,0.00007895435435313371],[0.875,"","","","","","","",-9.530647454251554,-10.348274500525552,27.41026441658239,""],[0.88,-9.569918852055647,-10.321786565365315,27.537469560792037,-9.56992277179757,-10.321784348827544,27.537481738272646,0.00001298339133018643,-9.569894266884537,-10.321715038803546,27.537491959747744,0.0000788808778709327],[0.885,"","","","","","","",-9.605788275366058,-10.28932864872776,27.663559329371854,""],[0.89,-9.638238746753757,-10.251231356181822,27.788006539403593,-9.638242028247177,-10.251228019133844,27.7880184986931,0.000012842456686690583,-9.638209767026911,-10.251158696554228,27.788019121032637,0.00007923095001092251],[0.895,"","","","","","","",-9.667047677900587,-10.207276860272284,27.910425587642113,""],[0.9,-9.692233588787287,-10.15785603165318,28.030334655223452,-9.692236187108717,-10.157851597710618,28.03034622496084,0.000012659776622891266,-9.692200555146828,-10.157783230044494,28.03033717299075,0.00007998521601826893],[0.905,"","","","","","","",-9.713577471446861,-10.10280616365364,28.1473190850089,""],[0.91,-9.731135568439996,-10.042573807832433,28.260953514633226,-9.731137446242181,-10.042568322368062,28.26096452712237,0.000012445536450149746,-9.731098881581646,-10.04250189014398,28.260945879405295,0.00008109485923032282],[0.915,"","","","","","","",-9.744697411643076,-9.97705385868726,28.37080402319201,""],[0.92,-9.754358454282443,-9.906741831277392,28.4765121205721,-9.754359583122818,-9.906735360859388,28.47652241573449,0.000012211918701863132,-9.754318571747987,-9.90667183375679,28.476494407017928,0.00008248660161831968],[0.925,"","","","","","","",-9.759921383725256,-9.831590741863199,28.577634775246366,""],[0.93,-9.761521484862072,-9.75213633575298,28.673889595201405,-9.761521846313755,-9.75212896680735,28.67389902442325,0.000011972561613948731,-9.761478916021503,-9.752069279293162,28.673862043348613,0.00008407008732617351],[0.935,"","","","","","","",-9.758978719011075,-9.668388294393448,28.764834473447113,""],[0.9400000000000001,-9.75246785568614,-9.5809120975083,28.850270669032756,-9.752467442179515,-9.580903934238481,28.850279098718453,0.000011741787035680664,-9.752423154985841,-9.580848961852013,28.85023368071505,0.00008574613314158333],[0.9450000000000001,"","","","","","","",-9.741829618320923,-9.48977077004341,28.929766445788676,""],[0.9500000000000001,-9.727276884010726,-9.395547646688435,29.00321218110264,-9.727275699364197,-9.395538808334894,29.00321949575877,0.000011533606331692331,-9.727230642640789,-9.395489345732269,29.00316631132312,0.00008741454373646331],[0.9550000000000001,"","","","","","","",-9.708673893219476,-9.298354143180473,29.07019494425271,""],[0.96,-9.686269208100851,-9.198778667546442,29.130697305586427,-9.686267267713392,-9.198769285114139,29.130703410287055,0.000011360568171040043,-9.686222044310528,-9.198726026909396,29.130643249119995,0.00008898067964121895],[0.965,"","","","","","","",-9.65995254258561,-9.096974778971973,29.184332221919068,""],[0.97,-9.630004710973642,-8.993522824649187,29.231174964315283,-9.630002041668357,-8.993513037266144,29.23117978643818,0.000011232583262972154,-9.629957259334455,-8.993476562552997,29.231113538155356,0.00009036045998548079],[0.975,"","","","","","","",-9.596342035511334,-8.88861137402128,29.27086987314878,""],[0.98,-9.55927322509895,-8.78279980289541,29.30358283439696,-9.559269864624614,-8.78278975398797,29.303586324567927,0.000011155923174659343,-9.559226125074803,-8.782760515205704,29.30351495689166,0.00009148382678180477],[0.985,"","","","","","","",-9.518741543329497,-8.676304116679685,29.328993369912364,""],[0.99,-9.47507844388893,-8.569650591238968,29.347353422793393,-9.47507444010392,-8.569640424716344,29.3473555550272,0.000011132605161886746,-9.475032328116383,-8.56961874125443,29.347280090492102,0.00009229687104878034],[0.995,"","","","","","","",-9.428253722689083,-8.4630750947563,29.35837980714787,""],[1,-9.378615807236297,-8.35705995529234,29.362403750125736,-9.378611217015068,-8.35704981192461,29.362404521202365,0.000011160313572386339,-9.378571289941322,-8.35703586856754,29.362326013453483,0.00009276287013989525]]},"geometry":{"axes":{"labels":["x","y","z"],"unit":"dimensionless state variables"},"viewBounds":{"min":[-9.761521846313755,-10.396341828460208,0.9617372249104278],"max":[19.562890239029553,27.183491645546006,47.83402664240577]},"vertices":[[-9.378615807236297,-8.35705995529234,29.362403750125736],[-9.378611217015068,-8.35704981192461,29.362404521202365]],"faces":[],"edges":[],"pointRadius":0.085,"paths":[{"points":[[1,1,1],[1.0125671910736112,1.2599177989452743,0.9848909717916053],[1.0488237097089568,1.5239971313226008,0.973114219876485],[1.1072088542956613,1.7983098897421352,0.9651589513000616],[1.1868680166603462,2.0885401422061625,0.9617372249104278],[1.287557057257908,2.4001544636681382,0.9638060638197575],[1.4095706581041882,2.738545613747143,0.9726081698899176],[1.5536900616953837,3.109153968487564,0.9897311222754546],[1.7211463804529996,3.517569455166498,1.0171865238383704],[1.9135962032916782,3.969615009809224,1.0575118553930003],[2.133106543293639,4.471410647871953,1.1138989184687214],[2.3821462580297044,5.029414948512368,1.190353726717964],[2.663580910085269,5.650437904613584,1.291893499664662],[2.9806675794712945,6.341615446625255,1.424786877461354],[3.3370453308022423,7.110331233006836,1.5968433322113875],[3.736715793797584,7.964065218724182,1.8177565221880947],[4.184006533877147,8.910140801134848,2.0995032544473453],[4.6835074584379015,9.955332873168455,2.4567936192098947],[5.23996732507253,11.10528810758652,2.9075570279825036],[5.858133453147396,12.36369719331315,3.4734309649311634],[6.5425131039448585,13.731148820534642,4.180191224257707],[7.297030107878633,15.203591512746565,5.05802085564536],[8.12454615397512,16.770340020640496,6.141457117196823],[9.026214596875773,18.411600957531068,7.468781220969554],[10.000638900189825,20.09557647590029,9.080530965857381],[11.042822865168166,21.775358255594952,11.01674104259968],[12.142932246511164,23.386067832954158,13.312491205128946],[13.284944531581942,24.84303577300723,15.99143936015684],[14.445350356308861,26.042195863755655,19.0573329443026],[15.59218235131815,26.86416864090704,22.484125186663082],[16.684763476222155,27.183473135838227,26.206297329352736],[17.674639193181452,26.883605839670704,30.11213496677724],[18.508113055511043,25.87710555038675,34.04354909045799],[19.1305684710664,24.12730309090413,37.80580894204774],[19.492305712216258,21.666039591944067,41.188555667987806],[19.55504067658528,18.600673705396396,43.995692383751184],[19.29772265587893,15.10556106855362,46.07747480547931],[18.720211528858894,11.397975590941046,47.35566866513325],[17.84377602111624,7.704258411724355,47.8339540885982],[16.708233976044365,4.225761245191734,47.590767694436195],[15.36649853610646,1.1137575723060125,46.75801524533206],[13.8779140647848,-1.541669257408179,45.49332413262051],[12.301847669032467,-3.7091436620254155,43.95398203191598],[10.692618795643357,-5.4042063806947525,42.27805673597419],[9.096259495061068,-6.673702328154929,40.57446333442512],[7.549064835047911,-7.58082876743981,38.92079736634692],[6.077561995704038,-8.193377576269977,37.36635469792174],[4.699411654338609,-8.575906018003844,35.937697503277114],[3.4247928377574928,-8.785421214973157,34.64478035787681],[2.257932674251289,-8.869676409303226,33.486466458030264],[1.1985649578564033,-8.867139000908745,32.45493260144154],[0.24320379492969113,-8.807869143628082,31.538891232001955],[-0.6138094172321458,-8.714781678853944,30.725777360647303],[-1.3794836451064196,-8.604970693938741,30.003125470511474],[-2.0615559258145817,-8.4909275227192,29.359360029307098],[-2.6680359054411116,-8.381580987130713,28.78418732037266],[-3.206883387036666,-8.283145322205414,28.268731651089862],[-3.68578846504676,-8.199789974507166,27.805517965114426],[-4.112028738345595,-8.134157219329186,27.388369919847037],[-4.492383158216855,-8.087755919008199,27.012268025520157],[-4.833086625659789,-8.061257551056048,26.67319524690961],[-5.139813265433318,-8.054716658643637,26.36798587942145],[-5.417679353166329,-8.06773359539284,26.09418598035244],[-5.6712592385945015,-8.099573543999979,25.849928917764693],[-5.904609409225119,-8.149252538822719,25.633826766978252],[-6.1212971921996555,-8.215598647231472,25.444876682361244],[-6.324431601694228,-8.29729449357503,25.282380551739696],[-6.516694590194046,-8.39290583901643,25.145875904336897],[-6.7003715214562245,-8.500899854676177,25.035075997202405],[-6.877380102100065,-8.619655951316144,24.949817127076045],[-7.049297325754584,-8.747471479569828,24.89001142927015],[-7.2173842266214505,-8.88256422968818,24.85560368808003],[-7.382608428457267,-9.023073391375197,24.846530969886715],[-7.545664624681769,-9.167060445115759,24.862684188165584],[-7.706993245363883,-9.31251131629089,24.90387101372406],[-7.866797663465359,-9.457341007114616,24.969779851603544],[-8.025060369347514,-9.59940180709551,25.059944916675402],[-8.18155860029555,-9.73649605079212,25.173712749971855],[-8.335879949950392,-9.866394224747689,25.310210821023528],[-8.487438498866176,-9.986859008990091,25.46831914748549],[-8.635491998724444,-10.095675561508855,25.64664611686894],[-8.779160605346805,-10.190688011248621,25.843509896300695],[-8.917447586043432,-10.269841718314034,26.05692694121358],[-9.049262322453647,-10.331230400423348,26.284609137247667],[-9.173445790127637,-10.373146733981207,26.52397100714292],[-9.288798522600215,-10.394134549356007,26.772148166873997],[-9.394110866000608,-10.393040295978027,27.026027813171904],[-9.488195109657806,-10.369061103768889,27.282291472411423],[-9.569918852055647,-10.321786565365315,27.537469560792037],[-9.638238746753757,-10.251231356181822,27.788006539403593],[-9.692233588787287,-10.15785603165318,28.030334655223452],[-9.731135568439996,-10.042573807832433,28.260953514633226],[-9.754358454282443,-9.906741831277392,28.4765121205721],[-9.761521484862072,-9.75213633575298,28.673889595201405],[-9.75246785568614,-9.5809120975083,28.850270669032756],[-9.727276884010726,-9.395547646688435,29.00321218110264],[-9.686269208100851,-9.198778667546442,29.130697305586427],[-9.630004710973642,-8.993522824649187,29.231174964315283],[-9.55927322509895,-8.78279980289541,29.30358283439696],[-9.47507844388893,-8.569650591238968,29.347353422793393],[-9.378615807236297,-8.35705995529234,29.362403750125736]],"role":"primary"},{"points":[[1.00001,1,1],[1.0125763656701614,1.2599203669647892,0.9848910912376172],[1.0488323712581915,1.5240020629643398,0.9731144965482488],[1.107217269887161,1.7983170592521103,0.9651594247156661],[1.1868764193270651,2.088549490939298,0.9617379402833702],[1.2875656551548078,2.400165991207006,0.9638070756970665],[1.4095796420740454,2.7385593711237584,0.9726095458726051],[1.5536996115518742,3.109170053032215,0.9897329471439367],[1.7211566702368997,3.5175880065534693,1.0171889043683853],[1.9136074056917673,3.9696362068854247,1.0575149261378027],[2.1331188333657387,4.471434705837843,1.1139028487906513],[2.3821598162913054,5.02944211597023,1.1903587293679534],[2.6635959250052674,5.650468459898773,1.291899841221977],[2.9806842493099035,6.341649692681827,1.424794890944594],[3.337063864680042,7.110369489848248,1.5968534321356476],[3.736736411779078,7.964107812220433,1.8177692222418877],[4.184029465736845,8.910188046480563,2.0995191877502597],[4.683532940629691,9.955385050913474,2.4568135607198522],[5.239995595241549,11.105345429576756,2.907581917953205],[5.858164741308272,12.363759755366868,3.4734619312467627],[6.5425476192118905,13.731216538323011,4.180229599836159],[7.297068019403143,15.203664037449032,5.058068184745249],[8.124587564587573,16.770416631999417,6.141515141290625],[9.026259507963536,18.411680434694233,7.468851830969401],[10.000687166758032,20.095656951940366,9.080616103459837],[11.042874141110364,21.775437070961388,11.016842530739048],[12.142985922204689,23.386141417069698,13.312610488630403],[13.284999669342453,24.84309960100827,15.991577146772004],[14.445405634068704,26.042244553037396,19.057488758408454],[15.592236030596927,26.864196260651894,22.48429688666278],[16.684813415416308,27.18347378761866,26.206480692804213],[17.674682928447165,26.883574512706943,30.112323499651932],[18.508147965224726,25.87703915521541,34.043734237917704],[19.13059202314941,24.127201450586888,37.805980828548],[19.492315767609917,21.665906077042937,41.18870435180277],[19.555035794448717,18.600515213576763,43.99580940350334],[19.29770232969821,15.105387216198665,46.07755461653232],[18.72017628970051,11.39779725979103,47.35570952806743],[17.843727376963447,7.704086046196412,47.83395813532651],[16.70817420264264,4.225603383589322,47.59074019294529],[15.36643037472025,1.1136199709313672,46.75796335637981],[13.877840399370484,-1.5417838013043972,45.49325556719857],[12.301771246358882,-3.709234921224355,43.95390395197101],[10.692542026203364,-5.404275998651985,42.27797507020022],[9.096184344072867,-6.67375306006846,40.574382510688814],[7.548992791695289,-7.580863830966342,38.92072035758899],[6.077494098504494,-8.19340018510275,37.36628324829853],[4.699348549400934,-8.575919099609722,35.93763242099647],[3.4247348508539055,-8.785427276142755,34.644721799953366],[2.25787988357384,-8.869677502811225,33.486414169109395],[1.1985172598542604,-8.867136751688962,32.45488609511535],[0.24316095979911645,-8.807864803734649,31.53884991799473],[-0.6138477011235145,-8.71477619141458,30.725740627714586],[-1.379517737065683,-8.60496475492341,30.003092736229313],[-2.0615862074614926,-8.490921635220506,29.359330766736743],[-2.6680627624834963,-8.381575506420814,28.784161069505103],[-3.2069071966251217,-8.283140491762213,28.268708020861965],[-3.6858095873661743,-8.19978595408704,27.80549663000433],[-4.112047511348444,-8.1341541064459,27.388350613690875],[-4.492399894637069,-8.087753765148149,27.012250534211105],[-4.8331016116471135,-8.061256373793364,26.6731794009676],[-5.139826760311671,-8.054716450611297,26.36797154697783],[-5.417691589948077,-8.06773433086602,26.094173060811016],[-5.671270424980984,-8.099575183675556,25.849917336227307],[-5.904619728897966,-8.149255033239479,25.633816469421998],[-6.121306806262894,-8.21560193916752,25.444867631499793],[-6.324440650168397,-8.297298519677433,25.282372723475675],[-6.5167031934941395,-8.392910530858146,25.14586928470432],[-6.700379781808134,-8.500905139391872,25.035070579700804],[-6.877388104867338,-8.619661751937619,24.94981291030615],[-7.049305140660388,-8.747477715160112,24.890008414792607],[-7.217391908860713,-8.882570815358354,24.85560187843165],[-7.382616019701931,-9.023080238257716,24.846530366702574],[-7.5456721539884475,-9.16706746036081,24.862684790369546],[-7.707000729998405,-9.312518403146916,24.903872815764778],[-7.866805109662877,-9.457348065149354,24.969782841727742],[-8.02506777303021,-9.599408732608822,25.05994907524513],[-8.181565947772453,-9.736502737465601,25.173718047847345],[-8.3358872186254,-9.866400564567721,25.3102172180478],[-8.487445657980844,-9.986864893469958,25.468326591120487],[-8.635499010161396,-10.095680883221448,25.646654541044786],[-8.77916742451741,-10.190692665663734,25.843519220548732],[-8.917454162879586,-10.269845605913694,26.056937070158792],[-9.049268602518021,-10.331233429045621,26.284619960535867],[-9.17345171584948,-10.373148821318754,26.52398239987123],[-9.288804034634957,-10.394135625512083,26.772159990579222],[-9.394115904701394,-10.39304030596187,27.026039917409697],[-9.488199616636171,-10.36906000979699,27.28230369693042],[-9.56992277179757,-10.321784348827544,27.537481738272646],[-9.638242028247177,-10.251228019133844,27.7880184986931],[-9.692236187108717,-10.157851597710618,28.03034622496084],[-9.731137446242181,-10.042568322368062,28.26096452712237],[-9.754359583122818,-9.906735360859388,28.47652241573449],[-9.761521846313755,-9.75212896680735,28.67389902442325],[-9.752467442179515,-9.580903934238481,28.850279098718453],[-9.727275699364197,-9.395538808334894,29.00321949575877],[-9.686267267713392,-9.198769285114139,29.130703410287055],[-9.630002041668357,-8.993513037266144,29.23117978643818],[-9.559269864624614,-8.78278975398797,29.303586324567927],[-9.47507444010392,-8.569640424716344,29.3473555550272],[-9.378611217015068,-8.35704981192461,29.362404521202365]],"role":"secondary"}]},"plots":[{"title":"First state coordinate","xLabel":"Time t (model units)","yLabel":"x (state units)","series":[{"label":"Reference x(t)","points":[[0,1],[0.01,1.0125671910736112],[0.02,1.0488237097089568],[0.03,1.1072088542956613],[0.04,1.1868680166603462],[0.05,1.287557057257908],[0.06,1.4095706581041882],[0.07,1.5536900616953837],[0.08,1.7211463804529996],[0.09,1.9135962032916782],[0.1,2.133106543293639],[0.11,2.3821462580297044],[0.12,2.663580910085269],[0.13,2.9806675794712945],[0.14,3.3370453308022423],[0.15,3.736715793797584],[0.16,4.184006533877147],[0.17,4.6835074584379015],[0.18,5.23996732507253],[0.19,5.858133453147396],[0.2,6.5425131039448585],[0.21,7.297030107878633],[0.22,8.12454615397512],[0.23,9.026214596875773],[0.24,10.000638900189825],[0.25,11.042822865168166],[0.26,12.142932246511164],[0.27,13.284944531581942],[0.28,14.445350356308861],[0.29,15.59218235131815],[0.3,16.684763476222155],[0.31,17.674639193181452],[0.32,18.508113055511043],[0.33,19.1305684710664],[0.34,19.492305712216258],[0.35000000000000003,19.55504067658528],[0.36,19.29772265587893],[0.37,18.720211528858894],[0.38,17.84377602111624],[0.39,16.708233976044365],[0.4,15.36649853610646],[0.41000000000000003,13.8779140647848],[0.42,12.301847669032467],[0.43,10.692618795643357],[0.44,9.096259495061068],[0.45,7.549064835047911],[0.46,6.077561995704038],[0.47000000000000003,4.699411654338609],[0.48,3.4247928377574928],[0.49,2.257932674251289],[0.5,1.1985649578564033],[0.51,0.24320379492969113],[0.52,-0.6138094172321458],[0.53,-1.3794836451064196],[0.54,-2.0615559258145817],[0.55,-2.6680359054411116],[0.56,-3.206883387036666],[0.5700000000000001,-3.68578846504676],[0.58,-4.112028738345595],[0.59,-4.492383158216855],[0.6,-4.833086625659789],[0.61,-5.139813265433318],[0.62,-5.417679353166329],[0.63,-5.6712592385945015],[0.64,-5.904609409225119],[0.65,-6.1212971921996555],[0.66,-6.324431601694228],[0.67,-6.516694590194046],[0.68,-6.7003715214562245],[0.6900000000000001,-6.877380102100065],[0.7000000000000001,-7.049297325754584],[0.71,-7.2173842266214505],[0.72,-7.382608428457267],[0.73,-7.545664624681769],[0.74,-7.706993245363883],[0.75,-7.866797663465359],[0.76,-8.025060369347514],[0.77,-8.18155860029555],[0.78,-8.335879949950392],[0.79,-8.487438498866176],[0.8,-8.635491998724444],[0.81,-8.779160605346805],[0.8200000000000001,-8.917447586043432],[0.8300000000000001,-9.049262322453647],[0.84,-9.173445790127637],[0.85,-9.288798522600215],[0.86,-9.394110866000608],[0.87,-9.488195109657806],[0.88,-9.569918852055647],[0.89,-9.638238746753757],[0.9,-9.692233588787287],[0.91,-9.731135568439996],[0.92,-9.754358454282443],[0.93,-9.761521484862072],[0.9400000000000001,-9.75246785568614],[0.9500000000000001,-9.727276884010726],[0.96,-9.686269208100851],[0.97,-9.630004710973642],[0.98,-9.55927322509895],[0.99,-9.47507844388893],[1,-9.378615807236297]]},{"label":"Perturbed x(t)","style":"secondary","points":[[0,1.00001],[0.01,1.0125763656701614],[0.02,1.0488323712581915],[0.03,1.107217269887161],[0.04,1.1868764193270651],[0.05,1.2875656551548078],[0.06,1.4095796420740454],[0.07,1.5536996115518742],[0.08,1.7211566702368997],[0.09,1.9136074056917673],[0.1,2.1331188333657387],[0.11,2.3821598162913054],[0.12,2.6635959250052674],[0.13,2.9806842493099035],[0.14,3.337063864680042],[0.15,3.736736411779078],[0.16,4.184029465736845],[0.17,4.683532940629691],[0.18,5.239995595241549],[0.19,5.858164741308272],[0.2,6.5425476192118905],[0.21,7.297068019403143],[0.22,8.124587564587573],[0.23,9.026259507963536],[0.24,10.000687166758032],[0.25,11.042874141110364],[0.26,12.142985922204689],[0.27,13.284999669342453],[0.28,14.445405634068704],[0.29,15.592236030596927],[0.3,16.684813415416308],[0.31,17.674682928447165],[0.32,18.508147965224726],[0.33,19.13059202314941],[0.34,19.492315767609917],[0.35000000000000003,19.555035794448717],[0.36,19.29770232969821],[0.37,18.72017628970051],[0.38,17.843727376963447],[0.39,16.70817420264264],[0.4,15.36643037472025],[0.41000000000000003,13.877840399370484],[0.42,12.301771246358882],[0.43,10.692542026203364],[0.44,9.096184344072867],[0.45,7.548992791695289],[0.46,6.077494098504494],[0.47000000000000003,4.699348549400934],[0.48,3.4247348508539055],[0.49,2.25787988357384],[0.5,1.1985172598542604],[0.51,0.24316095979911645],[0.52,-0.6138477011235145],[0.53,-1.379517737065683],[0.54,-2.0615862074614926],[0.55,-2.6680627624834963],[0.56,-3.2069071966251217],[0.5700000000000001,-3.6858095873661743],[0.58,-4.112047511348444],[0.59,-4.492399894637069],[0.6,-4.8331016116471135],[0.61,-5.139826760311671],[0.62,-5.417691589948077],[0.63,-5.671270424980984],[0.64,-5.904619728897966],[0.65,-6.121306806262894],[0.66,-6.324440650168397],[0.67,-6.5167031934941395],[0.68,-6.700379781808134],[0.6900000000000001,-6.877388104867338],[0.7000000000000001,-7.049305140660388],[0.71,-7.217391908860713],[0.72,-7.382616019701931],[0.73,-7.5456721539884475],[0.74,-7.707000729998405],[0.75,-7.866805109662877],[0.76,-8.02506777303021],[0.77,-8.181565947772453],[0.78,-8.3358872186254],[0.79,-8.487445657980844],[0.8,-8.635499010161396],[0.81,-8.77916742451741],[0.8200000000000001,-8.917454162879586],[0.8300000000000001,-9.049268602518021],[0.84,-9.17345171584948],[0.85,-9.288804034634957],[0.86,-9.394115904701394],[0.87,-9.488199616636171],[0.88,-9.56992277179757],[0.89,-9.638242028247177],[0.9,-9.692236187108717],[0.91,-9.731137446242181],[0.92,-9.754359583122818],[0.93,-9.761521846313755],[0.9400000000000001,-9.752467442179515],[0.9500000000000001,-9.727275699364197],[0.96,-9.686267267713392],[0.97,-9.630002041668357],[0.98,-9.559269864624614],[0.99,-9.47507444010392],[1,-9.378611217015068]]}]},{"title":"Initial-condition separation","xLabel":"Time t (model units)","yLabel":"Distance d(t)","series":[{"label":"Same h, different initial states","points":[[0,0.000010000000000065512],[0.01,0.000009527970058630384],[0.02,0.000009970961470802359],[0.03,0.000011065630389000667],[0.04,0.000012590289022746331],[0.05,0.000014416375381440669],[0.06,0.000016488494597266845],[0.07,0.00001879474609009438],[0.08,0.000021347143471926065],[0.09,0.000024171042196167685],[0.1,0.00002729979899988109],[0.11,0.00003077212588109001],[0.12,0.00003463074681160257],[0.13,0.00003892161126693761],[0.14,0.00004369323759097293],[0.15,0.000048995902381626],[0.16,0.00005488044298995494],[0.17,0.00006139644120826608],[0.18,0.00006858953026827534],[0.19,0.00007649753118974831],[0.2,0.00008514509698959155],[0.21,0.00009453655301017977],[0.22,0.00010464671328330671],[0.23,0.00011540969347169888],[0.24,0.0001267062192028042],[0.25,0.00013835073786248102],[0.26,0.0001500808310713726],[0.27,0.00016155289433887845],[0.28,0.00017234939069313404],[0.29,0.00018200331088170845],[0.3,0.00019004342468969073],[0.31,0.0001960581468976065],[0.32,0.0001997663353188291],[0.33,0.00020107317990149677],[0.34,0.00020008552320769393],[0.35000000000000003,0.00019707134378682203],[0.36,0.00019237359259458112],[0.37,0.0001863157984152049],[0.38,0.00017914381048270326],[0.39,0.00017102478496456373],[0.4,0.00016208817427523924],[0.41000000000000003,0.00015247332393950464],[0.42,0.00014235569618203632],[0.43,0.00013194508525901896],[0.44,0.00012146552773645698],[0.45,0.00011113075338250557],[0.46,0.00010112486184183363],[0.47000000000000003,0.00009159183819987713],[0.48,0.00008263322069705108],[0.49,0.00007431138964504518],[0.5,0.00006665580825404234],[0.51,0.00005967017914508553],[0.52,0.00005333926016624582],[0.53,0.00004763472281999687],[0.54,0.000042519863643511264],[0.55,0.000037953220602390075],[0.56,0.000033891257787313446],[0.5700000000000001,0.000030290313272961862],[0.58,0.00002710799409896065],[0.59,0.00002430417180336573],[0.6,0.000021841695027779456],[0.61,0.000019686898163763108],[0.62,0.00001780994943597994],[0.63,0.000016185048247311702],[0.64,0.00001479045054967742],[0.65,0.000013608274978952088],[0.66,0.000012624028791423636],[0.67,0.000011825805960493934],[0.68,0.000011203167285703008],[0.6900000000000001,0.000010745819739048408],[0.7000000000000001,0.000010442337562046486],[0.71,0.000010279235331399847],[0.72,0.000010240636058445929],[0.73,0.000010308577583945483],[0.74,0.0000104637771867725],[0.75,0.000010686559528744942],[0.76,0.000010957689275755657],[0.77,0.000011258974367536827],[0.78,0.00001157362838306035],[0.79,0.000011886451450410254],[0.8,0.000012183907900991646],[0.81,0.000012454166742414695],[0.8200000000000001,0.000012687148460662011],[0.8300000000000001,0.000012874600144521346],[0.84,0.0000130102042933092],[0.85,0.000013089715205204335],[0.86,0.000013111108948187344],[0.87,0.000013074727271167863],[0.88,0.00001298339133018643],[0.89,0.000012842456686690583],[0.9,0.000012659776622891266],[0.91,0.000012445536450149746],[0.92,0.000012211918701863132],[0.93,0.000011972561613948731],[0.9400000000000001,0.000011741787035680664],[0.9500000000000001,0.000011533606331692331],[0.96,0.000011360568171040043],[0.97,0.000011232583262972154],[0.98,0.000011155923174659343],[0.99,0.000011132605161886746],[1,0.000011160313572386339]]}]},{"title":"Separation on a logarithmic axis","xLabel":"Time t (model units)","yLabel":"Distance d(t), log scale","logY":true,"series":[{"label":"Positive distances; zeros omitted","points":[[0,0.000010000000000065512],[0.01,0.000009527970058630384],[0.02,0.000009970961470802359],[0.03,0.000011065630389000667],[0.04,0.000012590289022746331],[0.05,0.000014416375381440669],[0.06,0.000016488494597266845],[0.07,0.00001879474609009438],[0.08,0.000021347143471926065],[0.09,0.000024171042196167685],[0.1,0.00002729979899988109],[0.11,0.00003077212588109001],[0.12,0.00003463074681160257],[0.13,0.00003892161126693761],[0.14,0.00004369323759097293],[0.15,0.000048995902381626],[0.16,0.00005488044298995494],[0.17,0.00006139644120826608],[0.18,0.00006858953026827534],[0.19,0.00007649753118974831],[0.2,0.00008514509698959155],[0.21,0.00009453655301017977],[0.22,0.00010464671328330671],[0.23,0.00011540969347169888],[0.24,0.0001267062192028042],[0.25,0.00013835073786248102],[0.26,0.0001500808310713726],[0.27,0.00016155289433887845],[0.28,0.00017234939069313404],[0.29,0.00018200331088170845],[0.3,0.00019004342468969073],[0.31,0.0001960581468976065],[0.32,0.0001997663353188291],[0.33,0.00020107317990149677],[0.34,0.00020008552320769393],[0.35000000000000003,0.00019707134378682203],[0.36,0.00019237359259458112],[0.37,0.0001863157984152049],[0.38,0.00017914381048270326],[0.39,0.00017102478496456373],[0.4,0.00016208817427523924],[0.41000000000000003,0.00015247332393950464],[0.42,0.00014235569618203632],[0.43,0.00013194508525901896],[0.44,0.00012146552773645698],[0.45,0.00011113075338250557],[0.46,0.00010112486184183363],[0.47000000000000003,0.00009159183819987713],[0.48,0.00008263322069705108],[0.49,0.00007431138964504518],[0.5,0.00006665580825404234],[0.51,0.00005967017914508553],[0.52,0.00005333926016624582],[0.53,0.00004763472281999687],[0.54,0.000042519863643511264],[0.55,0.000037953220602390075],[0.56,0.000033891257787313446],[0.5700000000000001,0.000030290313272961862],[0.58,0.00002710799409896065],[0.59,0.00002430417180336573],[0.6,0.000021841695027779456],[0.61,0.000019686898163763108],[0.62,0.00001780994943597994],[0.63,0.000016185048247311702],[0.64,0.00001479045054967742],[0.65,0.000013608274978952088],[0.66,0.000012624028791423636],[0.67,0.000011825805960493934],[0.68,0.000011203167285703008],[0.6900000000000001,0.000010745819739048408],[0.7000000000000001,0.000010442337562046486],[0.71,0.000010279235331399847],[0.72,0.000010240636058445929],[0.73,0.000010308577583945483],[0.74,0.0000104637771867725],[0.75,0.000010686559528744942],[0.76,0.000010957689275755657],[0.77,0.000011258974367536827],[0.78,0.00001157362838306035],[0.79,0.000011886451450410254],[0.8,0.000012183907900991646],[0.81,0.000012454166742414695],[0.8200000000000001,0.000012687148460662011],[0.8300000000000001,0.000012874600144521346],[0.84,0.0000130102042933092],[0.85,0.000013089715205204335],[0.86,0.000013111108948187344],[0.87,0.000013074727271167863],[0.88,0.00001298339133018643],[0.89,0.000012842456686690583],[0.9,0.000012659776622891266],[0.91,0.000012445536450149746],[0.92,0.000012211918701863132],[0.93,0.000011972561613948731],[0.9400000000000001,0.000011741787035680664],[0.9500000000000001,0.000011533606331692331],[0.96,0.000011360568171040043],[0.97,0.000011232583262972154],[0.98,0.000011155923174659343],[0.99,0.000011132605161886746],[1,0.000011160313572386339]]}]},{"title":"Short-window step comparison","xLabel":"Common time t (model units)","yLabel":"‖u_h − u_h/2‖₂","series":[{"label":"Same initial state, different steps","style":"secondary","points":[[0,0],[0.01,0.0000025104311618476496],[0.02,0.000004098775902091414],[0.03,0.000005068641070274829],[0.04,0.000005651901962807757],[0.05,0.000006029348929553853],[0.06,0.000006345492745759916],[0.07,0.000006717349811381266],[0.08,0.000007237801281643258],[0.09,0.000007976353873104926],[0.1,0.000008981389086242611],[0.11,0.000010285688007665051],[0.12,0.000011913291898045371],[0.13,0.000013884721999745214],[0.14,0.00001621919967060126],[0.15,0.000018934149169836438],[0.16,0.00002204281736131082],[0.17,0.000025550783582570274],[0.18,0.000029452091210076505],[0.19,0.000033726025060039305],[0.2,0.000038336322656331205],[0.21,0.000043235951952627256],[0.22,0.00004838264600406299],[0.23,0.00005377335283210898],[0.24,0.00005951000539794501],[0.25,0.0000659148672486769],[0.26,0.0000737182253556569],[0.27,0.00008432499597854715],[0.28,0.00010007721332396404],[0.29,0.00012424689341441287],[0.3,0.00016044084137707435],[0.31,0.00021145323843724896],[0.32,0.00027799782050645395],[0.33,0.0003577851279101765],[0.34,0.00044537523360874],[0.35000000000000003,0.0005330937746179078],[0.36,0.0006127704246949553],[0.37,0.0006775077934131457],[0.38,0.0007227418110154394],[0.39,0.0007464803801355883],[0.4,0.000749085575087332],[0.41000000000000003,0.0007328804672725768],[0.42,0.0007015904271350255],[0.43,0.0006596131026104117],[0.44,0.0006112699296209957],[0.45,0.0005602465376072193],[0.46,0.0005093257642497373],[0.47000000000000003,0.0004603803605120327],[0.48,0.0004145214297132163],[0.49,0.00037230020664468926],[0.5,0.0003338971224410397],[0.51,0.000299269703961059],[0.52,0.00026825554166537945],[0.53,0.00024063794682221873],[0.54,0.0002161846662524365],[0.55,0.00019466869382591965],[0.56,0.0001758776977881979],[0.5700000000000001,0.00015961625335541842],[0.58,0.00014570341666796945],[0.59,0.00013396727549656694],[0.6,0.00012423786990504925],[0.61,0.00011634007046461677],[0.62,0.00011008825177840938],[0.63,0.0001052844346597282],[0.64,0.00010172070410421258],[0.65,0.00009918534753640771],[0.66,0.00009747096273031658],[0.67,0.00009638238755121111],[0.68,0.00009574280088885969],[0.6900000000000001,0.00009539729924587811],[0.7000000000000001,0.00009521411920423871],[0.71,0.00009508415746771523],[0.72,0.00009491954173373075],[0.73,0.00009465187849193096],[0.74,0.00009423059889587275],[0.75,0.00009362163098322161],[0.76,0.00009280647875523745],[0.77,0.00009178168459256331],[0.78,0.00009055857705931065],[0.79,0.00008916314535272476],[0.8,0.00008763582165499384],[0.81,0.00008603088765894334],[0.8200000000000001,0.00008441515658437212],[0.8300000000000001,0.00008286553870118235],[0.84,0.0000814651219421745],[0.85,0.00008029755440245216],[0.86,0.00007943986083544623],[0.87,0.00007895435435313371],[0.88,0.0000788808778709327],[0.89,0.00007923095001092251],[0.9,0.00007998521601826893],[0.91,0.00008109485923032282],[0.92,0.00008248660161831968],[0.93,0.00008407008732617351],[0.9400000000000001,0.00008574613314158333],[0.9500000000000001,0.00008741454373646331],[0.96,0.00008898067964121895],[0.97,0.00009036045998548079],[0.98,0.00009148382678180477],[0.99,0.00009229687104878034],[1,0.00009276287013989525]]}]}],"measurements":[{"label":"Base integration step h","value":0.01,"unit":"model time","precision":6},{"label":"Integrated duration","value":1,"unit":"model time","precision":6,"description":"Requested T=1; 100 complete fixed steps."},{"label":"Initial separation","value":0.000010000000000065512,"precision":8},{"label":"Final separation","value":0.000011160313572386339,"precision":8},{"label":"Maximum sampled separation","value":0.00020107317990149677,"precision":8},{"label":"First sampled threshold crossing","value":"Not observed","precision":6,"description":"First d(t) > 1; conditional on this run and sample grid."},{"label":"Full exported sample rows","value":201},{"label":"Short-window maximum step difference","value":0.000749085575087332,"precision":8,"description":"Same initial state; h versus h/2 at 101 common points through t=1."},{"label":"Short-window endpoint difference","value":0.00009276287013989525,"precision":8}],"diagnostics":{"method":"Double-precision classical RK4. Fixed h; half-step samples compared at indices i and 2i. Residual: requested versus integrated time-grid endpoint.","warnings":["Finite RK4 trajectories approximate this model; separation does not prove all properties of chaos or predict actual weather.","The diagnostic residual checks time-grid alignment only. It is not a bound on integration error.","The separation threshold was not exceeded in this observation window.","Step comparison fixes the initial state; its short-window difference is not a certified error estimate. Long-time divergence is recorded separately."],"tolerance":1.4210854715202004e-14,"residual":0,"iterations":400}},"build":{"packageVersion":"0.1.0","softwareVersion":"0.1.0+0e6017e6a747.dirty.02665ba9098c","gitRevision":"0e6017e6a747d3c610b956612b4125e232283001","gitDirty":true,"sourceDigest":"02665ba9098c7b8fe2a4b728fbd2b3749b1724fe9999f830d8fa90cb5d8b209b","runtime":"v26.5.1"}}