nohup: ignoring input 0 Wed Sep 14 22:41:10 JST 2011 machine specs: [ 0.000000] Initializing cgroup subsys cpuset [ 0.000000] Initializing cgroup subsys cpu [ 0.000000] Linux version 2.6.39-2-amd64 (Debian 2.6.39-3) (ben@decadent.org.uk) (gcc version 4.4.6 (Debian 4.4.6-6) ) #1 SMP Tue Jul 5 02:51:22 UTC 2011 [ 0.000000] Command line: BOOT_IMAGE=/boot/vmlinuz-2.6.39-2-amd64 root=UUID=7bd382f9-e883-4d6d-abc1-19dbab839dc7 ro quiet [ 0.000000] BIOS-provided physical RAM map: [ 0.000000] BIOS-e820: 0000000000000000 - 000000000009dc00 (usable) [ 0.000000] BIOS-e820: 000000000009dc00 - 00000000000a0000 (reserved) [ 0.000000] BIOS-e820: 00000000000e4000 - 0000000000100000 (reserved) [ 0.000000] BIOS-e820: 0000000000100000 - 00000000bf780000 (usable) [ 0.000000] BIOS-e820: 00000000bf78e000 - 00000000bf790000 (reserved) procs -----------memory---------- ---swap-- -----io---- -system-- ----cpu---- r b swpd free buff cache si so bi bo in cs us sy id wa 0 0 0 93145464 220488 5141236 0 0 0 0 0 0 5 0 95 0 hgd_test.rr: DataType=comets_p3, H=1/100000 Data[S,Xs,Fs,DFs,Region]=[ [0.257,0.044,0.189,0.158,-0.052,-0.146,0.079,0.765,0.004], [2.953,0.3,0.871,-0.423,-0.317,2.39,0.378,5.566,0.251], 30.83372, [7.849136,1.841503,5.80332699,4.830041,-1.627039,-4.37312261,2.551282,23.539312,0.08918698999999999], [[2.753,3.153],[0.1,0.5],[0.671,1.071],[-0.623,-0.223],[-0.517,-0.117],[2.19,2.59],[0.178,0.5780000000000001],[5.366,5.766],[0.05099999999999999,0.451]] ] C=0.008016078033251066 Fs=30.83372 Region=[[2.753,3.153],[0.1,0.5],[0.671,1.071],[-0.623,-0.223],[-0.517,-0.117],[2.19,2.59],[0.178,0.5780000000000001],[5.366,5.766],[0.05099999999999999,0.451]] H=1/100000 Step <0> Xp=[2.953,0.3,0.871,-0.423,-0.317,2.39,0.378,5.566,0.251] Yp=[ 0.2471655055754141 0.007730582175601304 1.050265025607247 0.0001794473977190864 ] Gp=-(grad f)(Xp)=[ 0.0006022351060621406 -0.003886344148009882 0.0001943543867102947 0.0003341627590376945 0.0001898657832398073 -0.001030882294890117 -0.000925200656371139 0.0003886499241485264 0.0002737321509108737 ] |Gp|=0.004218594311734806 Gp=Normalize(-(grad f)(Xp))=[ 0.1427572934394074 -0.9212414991409085 0.04607088815572092 0.07921187351629393 0.0450068836227414 -0.2443663027806504 -0.2193149158233872 0.09212782633955206 0.06488705257802029 ] X(t)=[0.1427572934394074*t+2.953,-0.9212414991409085*t+0.3,0.04607088815572092*t+0.871,0.07921187351629393*t-0.423,0.0450068836227414*t-0.317,-0.2443663027806504*t+2.39,-0.2193149158233872*t+0.378,0.09212782633955206*t+5.566,0.06488705257802029*t+0.251] Singular locus = [0.06488705257802029*t+0.251,0.09212782633955206*t+5.566,-0.2193149158233872*t+0.378,-0.2443663027806504*t+2.39,0.07921187351629393*t-0.423,-0.9212414991409085*t+0.3,0.1427572934394074*t+2.953,0.02543330032981582*t^2+1.130684868447646*t-13.382307,0.008300140479392336*t^2-0.0955476092116027*t+0.279418,0.0793983260000356*t^2-0.3257974508738292*t-0.8092009999999999,-0.03015413626882389*t^2+0.4790619476832371*t-1.344219,0.06183741667014143*t^2-1.087815440124243*t+6.470741,0.8690655445695336*t^2+0.2903796755685949*t+8.810208999999999,0.004814409386008918*t^3+0.3743470825746112*t^2-1.51399286350514*t-2.640060913,-0.012616891460404*t^3-0.9302325024434941*t^2-14.81515858031255*t+6.069104249,-0.01804843803315517*t^3-0.2995449964280248*t^2+2.637113561472688*t-1.549733103,0.003289330381308769*t^4+0.00933035304446423*t^3+1.08915541083509*t^2-32.90148990957511*t+185.098820074362,-0.05900072094653496*t^4+0.2537149681662423*t^3+2.138896212798786*t^2+1.177291939505224*t+5.124150187189001,-0.01142729345912562*t^4-0.02754187347328039*t^3+0.8313481967644417*t^2+3.978019669417561*t+11.099928613269,-0.0002523059960475596*t^5+0.001481619613648918*t^4+0.6172879464778084*t^3-3.910154422969411*t^2-62.75769073987381*t-51.37980292750888,0.003139486716418385*t^6+0.1462756200766248*t^5-0.9559330916141396*t^4-10.3363907714289*t^3-7.508552957419514*t^2+46.19380598087297*t-19.60004105747337,0.001139496112586886*t^6-0.01376388583020207*t^5+0.447775076943568*t^4+2.338516471365074*t^3+57.31581983853097*t^2+148.4775738662336*t+576.1487172197396,0.003481376537726257*t^8+0.1869355026356281*t^7-3.893760142231736*t^6+17.61818422754219*t^5-28.34038915857061*t^4+291.692550067393*t^3+98.77792795977365*t^2+837.1668530299041*t-232.9372833463693,7.700483273938413e-06*t^9-0.0003101254623196631*t^8+0.003134131847524741*t^7+0.02481117803890254*t^6-0.6839556792008876*t^5+4.273182207564784*t^4-3.073355910807448*t^3-53.44608997109594*t^2+119.366516097964*t+40.91658717901792,-0.0009243271092397223*t^10-0.07055867151023051*t^9-0.6964308945099729*t^8+14.0918835435945*t^7-193.7591133798051*t^6+5595.477330696075*t^5-38252.7839332989*t^4+508283.9186338245*t^3-2956611.791137902*t^2-8324864.713204958*t+7004685.167030797,0.01017857318049261*t^12-0.106682885466774*t^11+3.826535098168583*t^10-66.29410277798098*t^9+429.6315439466924*t^8-6407.42780507659*t^7+62988.48854896823*t^6-41210.24286360815*t^5+27385.87103363089*t^4-2853503.223443966*t^3-8524776.81930824*t^2-18626906.26319456*t-58367307.90320952,0.002478244091836626*t^12-0.01038885138312991*t^11+0.2808071403629206*t^10-10.5779740143574*t^9+74.24960836055571*t^8-1121.527502827463*t^7+14042.20576770534*t^6-80765.66075575464*t^5+783714.1547127302*t^4+78188.27980703706*t^3+2226450.735441053*t^2+5943461.549505895*t+4572994.597140186] Nearest singular point at t=0.26377872800463696492455034899970147464 oh_hash.push_restrict Te=0.2170983397800765 t in [0,0.2171] N=21710,M=24 ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(10.05988023952096%%) ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(20.11976047904191%%) ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(30.17964071856288%%) oooooo monotone at this neighborhood. break. t = [0 -> 0.06696000000000001] (6697) y0 = 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min(y0) = y0[6658] DtY=PY has min Y = [ 0.2470256493269033 0.006923552831571408 1.053908945784269 0.000271561126529767 ] at t=3329/50000,X=[2.962504780597196,0.2386637409871984,0.8740673997334079,-0.4177260734612852,-0.3140034416883979,2.373730091560864,0.3633980129044789,5.572133870677687,0.2553201799606446] Step <1> Xp=[2.962504780597196,0.2386637409871984,0.8740673997334079,-0.4177260734612852,-0.3140034416883979,2.373730091560864,0.3633980129044789,5.572133870677687,0.2553201799606446] Yp=[ 0.2470256493269033 0.006923552831571408 1.053908945784269 0.000271561126529767 ] Gp=-(grad f)(Xp)=[ -0.002030030392757257 -0.001095992824079209 -0.0004421420104820419 -0.0005010944201926243 -0.0003838601081039015 0.002132577426526196 0.0004627679307585598 -0.0001645788376596624 -7.550751988573152e-05 ] |Gp|=0.003272764220220956 Gp=Normalize(-(grad f)(Xp))=[ -0.6202800617944308 -0.3348829155817446 -0.1350974224633241 -0.153110455405429 -0.1172892644487496 0.651613523928778 0.1413997158424437 -0.05028741045346405 -0.02307148172153805 ] X(t)=[-0.6202800617944308*t+2.962504780597196,-0.3348829155817446*t+0.2386637409871984,-0.1350974224633241*t+0.8740673997334079,-0.153110455405429*t-0.4177260734612852,-0.1172892644487496*t-0.3140034416883979,0.651613523928778*t+2.373730091560864,0.1413997158424437*t+0.3633980129044789,-0.05028741045346405*t+5.572133870677687,-0.02307148172153805*t+0.2553201799606446] Singular locus = [-0.02307148172153805*t+0.2553201799606446,-0.05028741045346405*t+5.572133870677687,0.1413997158424437*t+0.3633980129044789,0.651613523928778*t+2.373730091560864,-0.153110455405429*t-0.4177260734612852,-0.3348829155817446*t+0.2386637409871984,-0.6202800617944308*t+2.962504780597196,0.03547399385569654*t^2-3.534210839296223*t-13.30691325827328,0.03719958310938658*t^2+0.2015749241047742*t+0.2730932338415421,0.021478116487875*t^2-0.256047343751922*t-0.830540629725688,0.1342495335852885*t^2-0.1173216080139487*t-1.312456725685361,0.4428514981231141*t^2+2.857340754109105*t+6.398588366858271,0.4968939222082329*t^2-3.835014115601129*t+8.833394956323245,0.008722248624989552*t^3+0.01172453113321563*t^2-1.418926153123572*t-2.739201695081895,-0.01098036749351539*t^3+1.342298513857112*t^2-6.29398204387927*t+5.078583642633909,0.003838009553727528*t^3+0.2591919149734003*t^2+0.1682839066886149*t-1.375487260869924,0.00969905791224231*t^4-0.1802722744566976*t^3+12.52828960901319*t^2+98.5243468347071*t+182.9130698077007,0.02234494381324528*t^4+0.4716401865880149*t^3+1.594821015137158*t^2+1.963080130736925*t+5.212089512449733,0.0140846526733658*t^4+0.8690842133751759*t^3-1.074466455588456*t^2-11.18620350322691*t+11.36846208996428,0.001015367883452524*t^5+0.006403414747381908*t^4-1.387474821852923*t^3-5.75209084213867*t^2+75.69001017501671*t-55.57536106990145,-5.70797382415493e-05*t^6-0.01973874530133664*t^5-0.7759646734384398*t^4-7.809015270257018*t^3-0.7070140607846699*t^2+34.73714471539044*t-16.5608113911703,0.008871605142618198*t^6+0.09006359119323583*t^5-0.6782120659371639*t^4-1.168960223878526*t^3+36.89767485835753*t^2-261.192659154975*t+586.2891281553008,0.001795306100817903*t^8-0.05401271597978693*t^7-2.679459966318545*t^6+8.565798749862143*t^5+69.39017629363379*t^4-227.0220517216832*t^3-556.0317587808886*t^2+1161.138910709182*t-176.6752853495175,1.958218241440176e-05*t^9+0.001332936062877042*t^8+0.006613611146010265*t^7-0.2769883098487327*t^6-3.397031613818791*t^5-14.86633779889689*t^4-24.74597304298935*t^3+6.928252859839967*t^2+64.14852893867511*t+48.62626484164288,0.001182224855463722*t^10-0.1183333755020631*t^9+5.128932580384791*t^8+80.83961256556638*t^7+308.6434217097324*t^6+9310.688089236592*t^5+20889.66119773863*t^4+544241.1929098159*t^3+673000.5988425931*t^2-3397349.626317414*t+6437458.592330891,-0.0314075890294811*t^12-1.07314772594034*t^11-12.45679679265413*t^10+91.97401662448856*t^9+1260.851858109752*t^8-16184.25740688814*t^7-81965.21586573182*t^6+677357.2413015491*t^5+1057197.374024561*t^4-10750928.0879095*t^3-1461734.740157219*t^2+37766532.33075384*t-59646118.4743449,0.0007119851157411347*t^12-0.03053272837495595*t^11+2.164906007072935*t^10+22.897781924216*t^9-514.8579505352304*t^8-301.0225702059367*t^7+55343.16919140288*t^6-93330.82654848245*t^5-1014800.434709593*t^4+347667.1080512552*t^3+15960436.09311728*t^2-15601859.13721103*t+4978618.265198854] Nearest singular point at t=0.16624297360621976499893379856197331447 oh_hash.push_restrict Te=0.16624297360621976499893379856197331447 t in [0,0.16624] N=16624,M=24 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(10.10587102983638%%) ooooooooooooooooooooooo monotone at this neighborhood. break. t = [0 -> 0.02232] (2233) y0 = 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min(y0) = y0[2194] DtY=PY has min Y = [ 0.246989694027266 0.007080577790272847 1.052829571244327 0.0002845780894524399 ] at t=1097/50000,X=[2.948895836041426,0.2313164098193349,0.8711033622845625,-0.4210853168528803,-0.3165767681504035,2.388026492275862,0.3665003226700621,5.571030564892339,0.2548139916516741] Step <2> Xp=[2.948895836041426,0.2313164098193349,0.8711033622845625,-0.4210853168528803,-0.3165767681504035,2.388026492275862,0.3665003226700621,5.571030564892339,0.2548139916516741] Yp=[ 0.246989694027266 0.007080577790272847 1.052829571244327 0.0002845780894524399 ] Gp=-(grad f)(Xp)=[ 0.000352900958011387 -0.00108983993512727 -5.485400913835328e-05 -7.180282143915383e-05 -0.0001849687857433602 -0.0003338105692936837 0.0001927545690250561 -3.579467801073655e-05 -0.0001288483803890486 ] |Gp|=0.001233343104615701 Gp=Normalize(-(grad f)(Xp))=[ 0.2861336449611464 -0.883647000618579 -0.04447587125842433 -0.0582180426277463 -0.1499735029539853 -0.2706550740377279 0.1562862501956556 -0.02902248196530021 -0.1044708320878776 ] X(t)=[0.2861336449611464*t+2.948895836041426,-0.883647000618579*t+0.2313164098193349,-0.04447587125842433*t+0.8711033622845625,-0.0582180426277463*t-0.4210853168528803,-0.1499735029539853*t-0.3165767681504035,-0.2706550740377279*t+2.388026492275862,0.1562862501956556*t+0.3665003226700621,-0.02902248196530021*t+5.571030564892339,-0.1044708320878776*t+0.2548139916516741] Singular locus = [-0.1044708320878776*t+0.2548139916516741,-0.02902248196530021*t+5.571030564892339,0.1562862501956556*t+0.3665003226700621,-0.2706550740377279*t+2.388026492275862,-0.0582180426277463*t-0.4210853168528803,-0.883647000618579*t+0.2313164098193349,0.2861336449611464*t+2.948895836041426,0.007812774639659664*t^2+1.571991837270791*t-13.38443676819806,0.02588139207569511*t^2+0.1439857795996534*t+0.2775336942016449,-0.09435666379770766*t^2-0.8914634915926607*t-0.8361479696641315,0.1158654953179702*t^2-0.04711484066789516*t-1.314966138926402,0.07523227222656392*t^2-1.370149136129456*t+6.461491595594826,0.8627044844809624*t^2+1.278752524893134*t+8.749493933274168,0.01109955998076859*t^3-0.5115291252029823*t^2-5.737224145658637*t-2.77032719900222,0.006768029813423709*t^3-1.297554097481548*t^2-13.85693796511766*t+4.941139694271154,-0.02435648113315448*t^3+0.2423570785493435*t^2+1.752761690018388*t-1.371670305870224,0.003033271483894398*t^4-0.009567603302218248*t^3+2.157968485098264*t^2-40.67313259409853*t+185.080722738213,0.1434946596790093*t^4-0.7523514077931297*t^3+5.090873849470501*t^2-4.04181776381113*t+5.255932165528245,0.01833179527355799*t^4-0.4166705069987311*t^3+1.991040056675638*t^2+0.8283248862072838*t+11.1225287578263,0.0001642999361275742*t^5-0.03048670177861042*t^4+0.1247436561931777*t^3+3.738711392673157*t^2+74.83413579467438*t-53.91750574561246,0.000702313647563666*t^6-0.06678602500787439*t^5+1.06883815789344*t^4+25.36542647305799*t^3-2.425322934827256*t^2+23.52425065087036*t-15.79910141877495,0.001667153855384921*t^6-0.05971014678764414*t^5+0.4109317932342711*t^4+3.850387743514117*t^3-26.15329403230082*t^2-48.10649238307501*t+580.5763099088258,-0.005662190326350647*t^8+0.3372299501322167*t^7-1.54471062910972*t^6+13.74225415787907*t^5+45.91158740896007*t^4+270.4415713462302*t^3+645.90005679194*t^2+647.8942104887294*t-151.4699325825077,1.08634650768963e-07*t^9+9.603033989889656e-05*t^8-0.007449091672059259*t^7+0.02644945356173926*t^6-0.3298307870788389*t^5+1.326215710872538*t^4+34.51968499168311*t^3-106.8151613135648*t^2+201.0003930546051*t+50.0367537681765,-0.0003505948803931953*t^10+0.088580361189908*t^9-1.439860358581513*t^8+56.52549043308478*t^7-538.1253888437403*t^6+7388.05492296139*t^5-50526.22673881631*t^4+325793.1941372986*t^3-2302741.155656206*t^2-4257525.199005962*t+6363250.452203406,0.01139926831724735*t^12-0.4765150015960365*t^11+4.811513505796222*t^10-102.3561005081304*t^9+461.858098643614*t^8-6390.916790742761*t^7+59854.10702439082*t^6-49325.82405197091*t^5+1801188.839006465*t^4-4034204.78588173*t^3+4263051.531560274*t^2-8387419.040561817*t-58818337.67431998,0.001442049380823283*t^12-0.09092607232294848*t^11+1.262478366441883*t^10-1.281916283636147*t^9+321.9679978452635*t^8+716.5471136139473*t^7+20790.50436215975*t^6+5807.179445378409*t^5+422016.6598976152*t^4-126008.6724757836*t^3+2945538.905446031*t^2+5112407.716856566*t+4643999.68484832] Nearest singular point at t=0.19338281306609266697724494250742049816 oh_hash.push_restrict Te=0.1486073168668139 t in [0,0.14861] N=14861,M=24 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(10.01278514231882%%) oooooooooooooooooo monotone at this neighborhood. break. t = [0 -> 0.0192] (1921) y0 = 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min(y0) = y0[1899] DtY=PY has min Y = [ 0.2469779870891695 0.007112167402054495 1.053012378435143 0.0002423161441414108 ] at t=1899/100000,X=[2.954329513959238,0.2145359532775881,0.8702587654893651,-0.4221908774823812,-0.3194247649714996,2.382886752419886,0.3694681985612776,5.570479427959818,0.2528300905503253] Step <3> Xp=[2.954329513959238,0.2145359532775881,0.8702587654893651,-0.4221908774823812,-0.3194247649714996,2.382886752419886,0.3694681985612776,5.570479427959818,0.2528300905503253] Yp=[ 0.2469779870891695 0.007112167402054495 1.053012378435143 0.0002423161441414108 ] Gp=-(grad f)(Xp)=[ -0.0006692132267460439 -0.000403068469490938 8.495670798932056e-05 5.159926426438841e-05 -4.035352704428378e-05 0.0007564190083504535 0.0002615192438150463 -9.626537879414698e-05 2.949697641259179e-05 ] |Gp|=0.001128059481255702 Gp=Normalize(-(grad f)(Xp))=[ -0.593242854535567 -0.3573113618461513 0.07531225915033378 0.04574161657411057 -0.03577251706564635 0.670548868139864 0.2318310764286431 -0.08533714790197847 0.02614842293578096 ] X(t)=[-0.593242854535567*t+2.954329513959238,-0.3573113618461513*t+0.2145359532775881,0.07531225915033378*t+0.8702587654893651,0.04574161657411057*t-0.4221908774823812,-0.03577251706564635*t-0.3194247649714996,0.670548868139864*t+2.382886752419886,0.2318310764286431*t+0.3694681985612776,-0.08533714790197847*t+5.570479427959818,0.02614842293578096*t+0.2528300905503253] Singular locus = [0.02614842293578096*t+0.2528300905503253,-0.08533714790197847*t+5.570479427959818,0.2318310764286431*t+0.3694681985612776,0.670548868139864*t+2.382886752419886,0.04574161657411057*t-0.4221908774823812,-0.3573113618461513*t+0.2145359532775881,-0.593242854535567*t+2.954329513959238,0.05628733303024587*t^2-3.54932673876949*t-13.35458182576471,0.003371968464024906*t^2-0.01577013076550665*t+0.2802773175064407,0.03756578944908626*t^2-0.07685416228304043*t-0.8531108882790104,-0.01435396039810598*t^2+0.4920571359071617*t-1.315819066324178,0.4553077209419798*t^2+3.326766336830031*t+6.435499593769263,0.4796084937618592*t^2-3.65858201546086*t+8.774088552299352,-0.01369763498547887*t^3+0.1289985381805787*t^2-0.02019630891026122*t-2.879461477200824,-0.01831573165022079*t^3+1.256799711086294*t^2-6.729478232139767*t+4.677528564573836,-0.01318601563748837*t^3-0.3286256242097862*t^2+0.1090290577052805*t-1.338298129340334,0.02698306246751691*t^4-0.1495404250949899*t^3+12.16166860403274*t^2+94.68909033817221*t+184.3091180919359,0.03666251322343342*t^4+0.9714031128826121*t^3+5.390757336724646*t^2+10.17609093014421*t+5.18100878405656,0.01767756702464618*t^4+0.3538764038304573*t^3-0.5098304851095794*t^2-2.684471817928823*t+11.13897380543087,0.0001045712260146192*t^5+0.06010452785763944*t^4-0.5578961859910095*t^3-2.650266868641992*t^2+32.23250970499565*t-52.49505640209313,-0.0004696542718273694*t^6-0.003542892584448609*t^5-0.1751004323542588*t^4-4.010240764343957*t^3-4.298106425746027*t^2+29.45979513356865*t-15.3530766733829,0.001237516466099751*t^6-0.0004402053396158407*t^5-0.1604569776983831*t^4-1.213307929048814*t^3+13.35823376038216*t^2+104.0476361102163*t+579.6533626363869,-0.0001256597525188387*t^8-0.1687180013328713*t^7-2.321864427720165*t^6+9.049693229278585*t^5+33.82173735171845*t^4-260.5670141887213*t^3-307.050010869953*t^2+1195.868893982941*t-138.9316389463362,-6.297816380956409e-05*t^9-0.001180107491490462*t^8-0.01066959867977627*t^7-0.1025476407223965*t^6-0.6563938647906368*t^5-1.898393776756036*t^4+5.823087899424872*t^3+33.11833057332847*t^2+29.88581888057231*t+53.81546810665377,0.002381338672752184*t^10-0.1547480670147925*t^9+2.914147962820732*t^8+61.9640829884408*t^7+326.6046469625244*t^6+11235.44682715534*t^5+29983.95843423049*t^4+428221.2659981136*t^3+391870.5370753973*t^2-3017575.866541521*t+6281571.858464934,-0.008592111025678684*t^12+0.03580434431887815*t^11-2.604944077080046*t^10-59.03214979525395*t^9+361.7578134065456*t^8+776.2060215842284*t^7-29926.20181542633*t^6-19413.36043841304*t^5+824406.0926296836*t^4-290791.7316057796*t^3-9460629.171407022*t^2-6902411.157622415*t-58976104.81265396,0.0002407756082875752*t^12-0.01167091030844531*t^11+1.3365156595131*t^10+24.36381068562428*t^9-225.8035529289723*t^8-1699.204324447277*t^7+37197.21710838489*t^6+35518.75450291944*t^5-1099798.286197206*t^4-1174027.685806065*t^3+16293767.2038101*t^2-11937393.73844222*t+4742145.719893781] Nearest singular point at t=0.12026274054189190634006624623762872172 oh_hash.push_restrict Te=0.12026274054189190634006624623762872172 t in [0,0.12026] N=12026,M=24 ooooooooooooooooooooooooooooooooo monotone at this neighborhood. break. t = [0 -> 0.00792] (793) y0 = 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min(y0) = y0[757] DtY=PY has min Y = [ 0.2469737189240859 0.007189992642804583 1.052627364706813 0.0002505509618228758 ] at t=757/100000,X=[2.949838665550404,0.2118311062684127,0.8708288792911332,-0.4218446134449151,-0.3196955629256866,2.387962807351705,0.3712231598098424,5.5698334257502,0.2530280341119491] Step <4> Xp=[2.949838665550404,0.2118311062684127,0.8708288792911332,-0.4218446134449151,-0.3196955629256866,2.387962807351705,0.3712231598098424,5.5698334257502,0.2530280341119491] Yp=[ 0.2469737189240859 0.007189992642804583 1.052627364706813 0.0002505509618228758 ] Gp=-(grad f)(Xp)=[ 0.0001651600217802227 -0.0003908720889504424 -5.444292855479038e-05 -7.267798813417447e-05 1.957941441581122e-05 -0.0001070043602229287 0.0001425399730245781 -5.233035738214098e-05 -2.315409508744318e-06 ] |Gp|=0.0004724401581725955 Gp=Normalize(-(grad f)(Xp))=[ 0.3495892949047003 -0.8273472993116008 -0.115237724001652 -0.1538353310508019 0.04144316285801072 -0.2264929396282122 0.301710111976773 -0.1107661075734024 -0.004900958287924446 ] X(t)=[0.3495892949047003*t+2.949838665550404,-0.8273472993116008*t+0.2118311062684127,-0.115237724001652*t+0.8708288792911332,-0.1538353310508019*t-0.4218446134449151,0.04144316285801072*t-0.3196955629256866,-0.2264929396282122*t+2.387962807351705,0.301710111976773*t+0.3712231598098424,-0.1107661075734024*t+5.5698334257502,-0.004900958287924446*t+0.2530280341119491] Singular locus = [-0.004900958287924446*t+0.2530280341119491,-0.1107661075734024*t+5.5698334257502,0.301710111976773*t+0.3712231598098424,-0.2264929396282122*t+2.387962807351705,-0.1538353310508019*t-0.4218446134449151,-0.8273472993116008*t+0.2118311062684127,0.3495892949047003*t+2.949838665550404,-0.02529085252796147*t^2+1.538086387682118*t-13.38144700363721,0.02538284482718543*t^2+0.1032908209639669*t+0.2801581308468615,-0.1127871596014344*t^2-0.3059363955092274*t-0.8536905215836852,-0.08806707377898701*t^2-0.3279835570110128*t-1.312095016357625,0.0645787847345099*t^2-1.28241810800869*t+6.460709306302485,0.806716228790165*t^2+1.711948250982055*t+8.746420570359087,0.0129679325066391*t^3-0.6200737707755467*t^2-1.58200474272083*t-2.879606976952953,0.03276993406810358*t^3-1.387738433164464*t^2-13.17394986686769*t+4.626658427192973,-0.01171445724769437*t^3+0.7418790836040531*t^2+1.219485976826293*t-1.337491616952107,0.005433512534409831*t^4-0.1774413530733649*t^3+3.869853904503246*t^2-36.57342104895923*t+185.0266113642173,0.007712975503457236*t^4-0.3928530025883197*t^3+3.213270831373314*t^2-6.22697018407945*t+5.258351130721072,0.0170449659619437*t^4-0.2620125461380918*t^3+0.8894659869387114*t^2-1.120008478194103*t+11.11862329155314,-9.627340607000091e-05*t^5-0.006645783588245207*t^4-0.05570935398736787*t^3+0.9153651161324905*t^2-8.905247749359219*t-52.25120841872109,-0.005064150296658812*t^6+0.05258322381200092*t^5-0.2031311707993547*t^4+14.50158498433942*t^3-16.93644933072062*t^2+26.44296735787901*t-15.13031406699058,0.001843844463460677*t^6-0.04376818787515641*t^5+0.3782693334480868*t^4-2.911134647542878*t^3+37.96758444837661*t^2-251.9067869134568*t+580.4417682071335,-0.007862206223702825*t^8+0.259943232773585*t^7-1.495533044273867*t^6+5.669696959860042*t^5+29.36204065344256*t^4+177.9825566887686*t^3+538.4769074468447*t^2+154.5847165235269*t-129.8966198112368,-1.408830438620188e-06*t^9+0.0001311679111241657*t^8-0.00251799255739162*t^7-0.0320094562762747*t^6+0.2987307118502672*t^5+0.7457989807547815*t^4+7.445601447134321*t^3+12.23074666542566*t^2+94.37120243966649*t+54.04360411799541,-0.002457722035446296*t^10+0.1170085569897428*t^9-2.965905512463212*t^8+67.11044224094653*t^7-883.0929413487468*t^6+9575.735379057316*t^5-74698.9537335661*t^4+409233.4797591781*t^3-2206614.056621277*t^2-1737523.270955235*t+6258751.451117463,0.002641296148633014*t^12-0.4153292592295392*t^11+5.318252960560122*t^10-69.36630268272391*t^9+772.4960485686562*t^8-4977.652675233237*t^7+39530.30727937423*t^6-159450.3388618949*t^5+709347.0459876643*t^4-1101075.466295824*t^3-3531475.394340307*t^2+34362917.31708166*t-59028898.32896383,0.002034074273026707*t^12-0.01912728489011254*t^11+2.450385172569125*t^10+5.126696075771354*t^9+336.8014677710907*t^8-41.25313472049644*t^7+14330.29414230833*t^6-41566.30818591484*t^5+264668.5536558425*t^4-973604.1751221861*t^3+3608768.505014023*t^2+2837747.358683336*t+4652712.84909239] Nearest singular point at t=0.25603649935724456477705979563541591475 oh_hash.push_restrict Te=0.1351682737847363 t in [0,0.13517] N=13517,M=24 ooooooooooooooooooooooooooooooo monotone at this neighborhood. break. t = [0 -> 0.00744] (745) y0 = 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min(y0) = y0[718] DtY=PY has min Y = [ 0.2469720227803269 0.007231695332357794 1.052487327768171 0.000252794136911733 ] at t=359/50000,X=[2.95234871668782,0.2058907526593554,0.8700014724328013,-0.4229491511218599,-0.3193980010163661,2.386336588045174,0.3733894384138357,5.569038125097823,0.2529928452314418] Step <5> Xp=[2.95234871668782,0.2058907526593554,0.8700014724328013,-0.4229491511218599,-0.3193980010163661,2.386336588045174,0.3733894384138357,5.569038125097823,0.2529928452314418] Yp=[ 0.2469720227803269 0.007231695332357794 1.052487327768171 0.000252794136911733 ] Gp=-(grad f)(Xp)=[ -0.0002357993541275789 -0.0001573396784224422 0.0001182945676075752 9.774119985296072e-05 -2.830599440896712e-06 0.0003016568059313503 0.0001430879088849292 -5.547108471212758e-05 -1.132647828864142e-05 ] |Gp|=0.0004675343597680758 Gp=Normalize(-(grad f)(Xp))=[ -0.5043465773179732 -0.3365307279244499 0.2530179122369877 0.2090567202407242 -0.006054313189517995 0.6452077791266285 0.3060478997862513 -0.1186460065515708 -0.02422598051244835 ] X(t)=[-0.5043465773179732*t+2.95234871668782,-0.3365307279244499*t+0.2058907526593554,0.2530179122369877*t+0.8700014724328013,0.2090567202407242*t-0.4229491511218599,-0.006054313189517995*t-0.3193980010163661,0.6452077791266285*t+2.386336588045174,0.3060478997862513*t+0.3733894384138357,-0.1186460065515708*t+5.569038125097823,-0.02422598051244835*t+0.2529928452314418] Singular locus = [-0.02422598051244835*t+0.2529928452314418,-0.1186460065515708*t+5.569038125097823,0.3060478997862513*t+0.3733894384138357,0.6452077791266285*t+2.386336588045174,0.2090567202407242*t-0.4229491511218599,-0.3365307279244499*t+0.2058907526593554,-0.5043465773179732*t+2.95234871668782,0.07669799806272794*t^2-3.30385138227783*t-13.3704048471778,0.0437413669860052*t^2-0.1729732536637508*t+0.2809010674879524,0.07340748237525348*t^2-0.04216538634161956*t-0.8558929593522081,-0.1033995788939792*t^2+0.9367620111457454*t-1.314454478365979,0.4803111421582802*t^2+3.519617772838591*t+6.451504873478324,0.3676184008897144*t^2-3.116591070351956*t+8.75875394695885,0.0004552668870745347*t^3+0.3029268698135386*t^2-0.1543730910504521*t-2.890997732496717,-0.02016366969318472*t^3+1.064893047989288*t^2-6.459811709910904*t+4.531997938031729,-0.04351982619393895*t^3-0.8530429865610386*t^2-0.01941159436814446*t-1.328697466327287,0.04742735593971659*t^4-0.1992947320378814*t^3+11.9237855122228*t^2+84.28172906632275*t+184.7642136356774,0.06619406584626399*t^4+1.459967269517162*t^3+8.450665752877324*t^2+16.26875288816534*t+5.213806991230029,0.01644755433118335*t^4-0.0460736148979019*t^3+0.1253636323972597*t^2+4.922857099587793*t+11.11062738784839,-0.002363114083786073*t^5+0.1313250959624462*t^4+0.1182292550805445*t^3-10.56468563417926*t^2+48.44827441567344*t-52.31510092893114,-0.0005577427301415355*t^6-0.006788540909398904*t^5-0.3004791580248974*t^4-3.100420233510816*t^3+2.185369461027956*t^2+19.3554394882623*t-14.9413213088033,0.009727794140294227*t^6+0.09723722394045588*t^5-0.8284719459021969*t^4-4.112011509050911*t^3+78.27328665042492*t^2+415.6095046800096*t+578.6350337206547,-0.003266012121971536*t^8-0.212546780972849*t^7-1.750896633522474*t^6+7.650939439005685*t^5+0.5736232811451755*t^4-235.9928069586795*t^3-60.34922055885256*t^2+1242.026688066989*t-128.7588758119598,-4.632450448207632e-05*t^9-0.0007234080443513508*t^8+0.01964748455351598*t^7-0.2445244208294363*t^6+1.082191837344783*t^5-3.1948026130963*t^4-23.70439030704619*t^3+67.48748445811928*t^2+19.26353417873605*t+54.7218226338057,0.002361518179063635*t^10-0.058787327655203*t^9+1.470922138779452*t^8+25.48941494022694*t^7+240.173626279656*t^6+8754.284866277234*t^5+36434.73812667323*t^4+302362.5815722027*t^3-117363.2008171084*t^2-2457269.889708535*t+6246162.429059401,0.002207140538193071*t^12+0.09490567418491917*t^11-0.6085936804200717*t^10-38.13458633877069*t^9-83.17267671594696*t^8-1030.672091584602*t^7-26759.10843885288*t^6+2254.051924563788*t^5+927233.0116879619*t^4+959916.9791961474*t^3-8854272.726155644*t^2-44572583.7690458*t-58782355.04433613,0.0001912446668466612*t^12+0.02064349556276121*t^11+1.405089173950125*t^10+21.98410574510812*t^9-87.72544952746652*t^8-1635.85522357679*t^7+25022.03023706241*t^6+130635.3657843409*t^5-1002643.308503763*t^4-2727916.936688973*t^3+16025153.29537343*t^2-8013057.240554781*t+4673273.556131857] Nearest singular point at t=0.10441426792356481351086514929474404014 oh_hash.push_restrict Te=0.10441426792356481351086514929474404014 t in [0,0.10441] N=10441,M=24 oooooooooooooo monotone at this neighborhood. break. t = [0 -> 0.00336] (337) y0 = 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min(y0) = y0[314] DtY=PY has min Y = [ 0.2469712895229612 0.007272898436998599 1.052311305913675 0.0002527522488228444 ] at t=157/50000,X=[2.950765068435041,0.2048340461736727,0.8707959486772255,-0.422292713020304,-0.3194170115597811,2.388362540471631,0.3743504288191645,5.568665576637251,0.2529167756526328] Step <6> Xp=[2.950765068435041,0.2048340461736727,0.8707959486772255,-0.422292713020304,-0.3194170115597811,2.388362540471631,0.3743504288191645,5.568665576637251,0.2529167756526328] Yp=[ 0.2469712895229612 0.007272898436998599 1.052311305913675 0.0002527522488228444 ] Gp=-(grad f)(Xp)=[ 8.390561693366778e-05 -0.0001523721880617567 -3.501416433416074e-05 -4.893528459942557e-05 3.168774737870214e-05 -3.127237973203287e-05 8.268297187610102e-05 -3.706621396126764e-05 -1.146432424532404e-05 ] |Gp|=0.0002102426547699647 Gp=Normalize(-(grad f)(Xp))=[ 0.3990894094515333 -0.7247444065452537 -0.1665416771514382 -0.2327562152074598 0.1507198784821902 -0.1487442201785803 0.3932740098176934 -0.1763020639261968 -0.05452901200219166 ] X(t)=[0.3990894094515333*t+2.950765068435041,-0.7247444065452537*t+0.2048340461736727,-0.1665416771514382*t+0.8707959486772255,-0.2327562152074598*t-0.422292713020304,0.1507198784821902*t-0.3194170115597811,-0.1487442201785803*t+2.388362540471631,0.3932740098176934*t+0.3743504288191645,-0.1763020639261968*t+5.568665576637251,-0.05452901200219166*t+0.2529167756526328] Singular locus = [-0.05452901200219166*t+0.2529167756526328,-0.1763020639261968*t+5.568665576637251,0.3932740098176934*t+0.3743504288191645,-0.1487442201785803*t+2.388362540471631,-0.2327562152074598*t-0.422292713020304,-0.7247444065452537*t+0.2048340461736727,0.3990894094515333*t+2.950765068435041,-0.03444251907730057*t^2+1.304917143670895*t-13.38077818430657,0.07689193748738751*t^2+0.1002975208497228*t+0.2803583627438302,-0.1085380577641857*t^2+0.05888512167858312*t-0.8560246348969076,-0.2021239293584668*t^2-0.5929732037186168*t-1.311514065129469,0.04986097326494784*t^2-1.000557882671137*t+6.462561208960774,0.6845268115550056*t^2+2.058333518715104*t+8.748971475568331,0.02448618943823832*t^3-0.6748706540370454*t^2+0.2380251535912989*t-2.891479477250757,0.05891449001014002*t^3-1.418609712680793*t^2-11.7706372270268*t+4.511724628057856,0.001362506255535151*t^3+1.04664393015339*t^2+0.7476292836034574*t-1.32876683074357,0.006586843837245145*t^4-0.178757312380516*t^3+4.737069437491565*t^2-27.93629003212753*t+185.0289758225359,-0.03702138644105377*t^4-0.1986104625674898*t^3+1.567593401480986*t^2-7.927863032025261*t+5.264974240688696,0.01618657450776395*t^4-0.1835808511790636*t^3-0.3019389102588358*t^2-2.774515926390824*t+11.12608639375157,-0.001111434382591007*t^5-0.02270630625278414*t^4+0.2793515488509415*t^3+4.160832577585334*t^2-0.1247328764873572*t-52.16307750716739,-0.006655496837407208*t^6+0.005475434530619491*t^5-0.4824890525513343*t^4+8.93929893697414*t^3-17.82960153382907*t^2+24.34558474787627*t-14.88052377795699,0.002919412578996243*t^6-0.1077137242107887*t^5+1.264585288345335*t^4-6.938643335238368*t^3+80.74423097929926*t^2-398.3670603184158*t+579.940819181262,-0.007979684022204465*t^8+0.1891918359088327*t^7-0.9006049196351975*t^6+1.470425462068722*t^5+18.57036685935422*t^4+121.4755367796367*t^3+404.0754672514273*t^2-148.1819521255453*t-124.8595143366821,-1.83744425198172e-05*t^9+0.001247131760667483*t^8-0.0220169367814003*t^7-0.07619491684299043*t^6+1.666752497451109*t^5+4.130722868706792*t^4+13.33861227557931*t^3+38.95540126217915*t^2+32.26203636016666*t+54.78297479655082,-0.00261957045262525*t^10+0.148542261724823*t^9-3.964200087229948*t^8+68.31669493765909*t^7-818.7641613297326*t^6+8326.416068731205*t^5-69640.66506157561*t^4+448709.5628315395*t^3-2143700.099143894*t^2+180983.4139743507*t+6238445.453815938,0.001471057344594276*t^12-0.1410722757652608*t^11+2.408914385386543*t^10-33.32485551460169*t^9+401.9688876710819*t^8-1362.85925266382*t^7+11818.02364326097*t^6+11535.51723138151*t^5-509178.2933726895*t^4+3724042.728379609*t^3-23766633.61562712*t^2+71341235.6404535*t-58922400.22715,0.001552599596657223*t^12+0.01276862952094559*t^11+2.655608617698986*t^10+6.261575688634178*t^9+321.1754635816218*t^8-487.777762546406*t^7+11740.75077378988*t^6-70929.29179571132*t^5+215746.8314885742*t^4-1533061.219442424*t^3+4188595.990470298*t^2+742275.0320374926*t+4648270.473446537] Nearest singular point at t=0.28262935777605427620901131347057654890 oh_hash.push_restrict Te=0.1446496795655182 t in [0,0.14465] N=14465,M=24 ooooooooooooooo monotone at this neighborhood. break. t = [0 -> 0.0036] (361) y0 = [0.2469712895229612,0.2469712874238271,0.246971285331278,0.2469712832453139,0.2469712811659347,0.2469712790931406,0.2469712770269314,0.2469712749673073,0.2469712729142681,0.246971270867814,0.2469712688279448,0.2469712667946607,0.2469712647679617,0.2469712627478477,0.2469712607343187,0.2469712587273748,0.2469712567270159,0.2469712547332421,0.2469712527460533,0.2469712507654497,0.2469712487914311,0.2469712468239976,0.2469712448631492,0.2469712429088859,0.2469712409612077,0.2469712390201146,0.2469712370856067,0.2469712351576839,0.2469712332363462,0.2469712313215936,0.2469712294134262,0.246971227511844,0.2469712256168469,0.2469712237284349,0.2469712218466082,0.2469712199713666,0.2469712181027102,0.2469712162406389,0.2469712143851529,0.2469712125362521,0.2469712106939365,0.2469712088582061,0.2469712070290609,0.246971205206501,0.2469712033905263,0.2469712015811368,0.2469711997783326,0.2469711979821136,0.2469711961924799,0.2469711944094314,0.2469711926329683,0.2469711908630904,0.2469711890997977,0.2469711873430904,0.2469711855929684,0.2469711838494316,0.2469711821124802,0.2469711803821141,0.2469711786583333,0.2469711769411379,0.2469711752305278,0.246971173526503,0.2469711718290636,0.2469711701382095,0.2469711684539408,0.2469711667762575,0.2469711651051595,0.2469711634406469,0.2469711617827197,0.2469711601313779,0.2469711584866215,0.2469711568484505,0.2469711552168649,0.2469711535918647,0.2469711519734499,0.2469711503616206,0.2469711487563767,0.2469711471577183,0.2469711455656453,0.2469711439801577,0.2469711424012556,0.246971140828939,0.2469711392632079,0.2469711377040623,0.2469711361515021,0.2469711346055274,0.2469711330661382,0.2469711315333346,0.2469711300071164,0.2469711284874838,0.2469711269744367,0.2469711254679751,0.246971123968099,0.2469711224748085,0.2469711209881036,0.2469711195079842,0.2469711180344503,0.2469711165675021,0.2469711151071394,0.2469711136533623,0.2469711122061708,0.2469711107655648,0.2469711093315445,0.2469711079041098,0.2469711064832607,0.2469711050689972,0.2469711036613193,0.2469711022602271,0.2469711008657205,0.2469710994777996,0.2469710980964643,0.2469710967217147,0.2469710953535507,0.2469710939919724,0.2469710926369798,0.2469710912885728,0.2469710899467516,0.246971088611516,0.2469710872828662,0.246971085960802,0.2469710846453236,0.2469710833364309,0.2469710820341239,0.2469710807384027,0.2469710794492672,0.2469710781667174,0.2469710768907534,0.2469710756213752,0.2469710743585827,0.246971073102376,0.246971071852755,0.2469710706097199,0.2469710693732705,0.246971068143407,0.2469710669201292,0.2469710657034373,0.2469710644933311,0.2469710632898108,0.2469710620928764,0.2469710609025277,0.2469710597187649,0.246971058541588,0.2469710573709969,0.2469710562069916,0.2469710550495723,0.2469710538987387,0.2469710527544911,0.2469710516168294,0.2469710504857535,0.2469710493612636,0.2469710482433596,0.2469710471320414,0.2469710460273092,0.2469710449291629,0.2469710438376025,0.2469710427526281,0.2469710416742396,0.2469710406024371,0.2469710395372205,0.2469710384785899,0.2469710374265453,0.2469710363810866,0.2469710353422139,0.2469710343099272,0.2469710332842265,0.2469710322651118,0.2469710312525831,0.2469710302466404,0.2469710292472838,0.2469710282545131,0.2469710272683285,0.2469710262887299,0.2469710253157174,0.2469710243492909,0.2469710233894505,0.2469710224361961,0.2469710214895279,0.2469710205494457,0.2469710196159496,0.2469710186890395,0.2469710177687156,0.2469710168549778,0.2469710159478261,0.2469710150472604,0.246971014153281,0.2469710132658876,0.2469710123850804,0.2469710115108593,0.2469710106432244,0.2469710097821756,0.246971008927713,0.2469710080798365,0.2469710072385462,0.2469710064038421,0.2469710055757242,0.2469710047541924,0.2469710039392469,0.2469710031308876,0.2469710023291145,0.2469710015339275,0.2469710007453269,0.2469709999633124,0.2469709991878842,0.2469709984190422,0.2469709976567865,0.246970996901117,0.2469709961520338,0.2469709954095368,0.2469709946736262,0.2469709939443018,0.2469709932215637,0.2469709925054119,0.2469709917958464,0.2469709910928672,0.2469709903964743,0.2469709897066677,0.2469709890234474,0.2469709883468135,0.246970987676766,0.2469709870133047,0.2469709863564298,0.2469709857061413,0.2469709850624392,0.2469709844253234,0.246970983794794,0.2469709831708509,0.2469709825534943,0.2469709819427241,0.2469709813385402,0.2469709807409428,0.2469709801499318,0.2469709795655072,0.246970978987669,0.2469709784164173,0.246970977851752,0.2469709772936731,0.2469709767421807,0.2469709761972747,0.2469709756589553,0.2469709751272222,0.2469709746020757,0.2469709740835156,0.2469709735715421,0.246970973066155,0.2469709725673545,0.2469709720751404,0.2469709715895129,0.2469709711104719,0.2469709706380174,0.2469709701721495,0.2469709697128681,0.2469709692601733,0.246970968814065,0.2469709683745432,0.2469709679416081,0.2469709675152595,0.2469709670954975,0.2469709666823221,0.2469709662757332,0.246970965875731,0.2469709654823154,0.2469709650954864,0.246970964715244,0.2469709643415882,0.24697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min(y0) = y0[319] DtY=PY has min Y = [ 0.246970953929316 0.007301585982643043 1.052161881494958 0.0002541746606509517 ] at t=319/100000,X=[2.952038163651192,0.2025221115167933,0.8702646807271125,-0.4230352053468158,-0.3189362151474229,2.387888046409262,0.3756049729104829,5.568103173053326,0.2527428281043458] Step <7> Xp=[2.952038163651192,0.2025221115167933,0.8702646807271125,-0.4230352053468158,-0.3189362151474229,2.387888046409262,0.3756049729104829,5.568103173053326,0.2527428281043458] Yp=[ 0.246970953929316 0.007301585982643043 1.052161881494958 0.0002541746606509517 ] Gp=-(grad f)(Xp)=[ -8.827545262542766e-05 -6.698044157071696e-05 8.020530719310762e-05 6.706108509081307e-05 1.162654322879391e-05 0.0001352844620994414 7.117045206635197e-05 -2.957399262895621e-05 -1.778136005585354e-05 ] |Gp|=0.0002188655038385423 Gp=Normalize(-(grad f)(Xp))=[ -0.4033319599353067 -0.3060347126248302 0.3664593359229205 0.3064031741625406 0.05312186262742823 0.6181168787532693 0.3251789378323165 -0.1351240470073028 -0.08124331949986462 ] X(t)=[-0.4033319599353067*t+2.952038163651192,-0.3060347126248302*t+0.2025221115167933,0.3664593359229205*t+0.8702646807271125,0.3064031741625406*t-0.4230352053468158,0.05312186262742823*t-0.3189362151474229,0.6181168787532693*t+2.387888046409262,0.3251789378323165*t+0.3756049729104829,-0.1351240470073028*t+5.568103173053326,-0.08124331949986462*t+0.2527428281043458] Singular locus = [-0.08124331949986462*t+0.2527428281043458,-0.1351240470073028*t+5.568103173053326,0.3251789378323165*t+0.3756049729104829,0.6181168787532693*t+2.387888046409262,0.3064031741625406*t-0.4230352053468158,-0.3060347126248302*t+0.2025221115167933,-0.4033319599353067*t+2.952038163651192,0.079206657722796*t^2-3.079739850650788*t-13.37661584910877,0.09670483742588754*t^2-0.2931236310174797*t+0.2806790942953859,0.07234426238323415*t^2+0.09393805924481857*t-0.8558378958528824,-0.1398393267286573*t^2+1.183501386821153*t-1.313407706482649,0.5163609206847517*t^2+3.589821046070329*t+6.459369936705302,0.2563339152366182*t^2-2.505260269094949*t+8.75554452530632,0.01960137080026988*t^3+0.2378078373576654*t^2+0.2256445124716677*t-2.890727043767196,-0.02225698384407171*t^3+0.8402151417324057*t^2-6.076582994600345*t+4.474161861301811,-0.06482309897244652*t^3-1.102375238730712*t^2-0.09009142627663499*t-1.326371242531348,0.06074373767394271*t^4-0.2994420518583951*t^3+12.29740696965773*t^2+75.93481145409093*t+184.9399072564235,0.0780964818178877*t^4+1.715983002647724*t^3+10.15267121852734*t^2+19.913175469643*t+5.239700303152667,0.001509499474345088*t^4-0.3058938549851536*t^3+0.8475987144470587*t^2+10.19043383281845*t+11.11723260942816,-0.00451167048177406*t^5+0.1248517556042467*t^4+0.7519487760945787*t^3-17.24609348444834*t^2+60.92343576181518*t-52.1634330549291,-0.0006394327471971109*t^6-0.0199757867061677*t^5-0.2262217237514353*t^4-0.9723385137071282*t^3+0.8028280076473706*t^2+13.2040903461455*t-14.80304250828403,0.01610055641172111*t^6+0.2341640103848294*t^5-1.054226139851691*t^4-9.470966969930968*t^3+158.4611942575646*t^2+609.2970650891173*t+578.6708496951055,-0.005027930863723506*t^8-0.2122060063832313*t^7-1.251950785612763*t^6+4.284923836702577*t^5-10.59508310889855*t^4-215.6015842162267*t^3+83.97461870287218*t^2+1199.154935222461*t-125.3280989063671,-0.0004323845656117028*t^9-0.004481602912750366*t^8+0.05873780031660555*t^7-1.260409252634005*t^6+4.430109657028606*t^5+5.85491578339075*t^4-62.18251892156272*t^3+82.82830792682567*t^2-3.943027601717811*t+54.88628754002163,0.003374788765171455*t^10+0.05407863187620433*t^9+1.71868567015969*t^8+4.449683189666749*t^7+191.3916360342836*t^6+7034.432276666974*t^5+43584.38854048566*t^4+250326.8870176667*t^3-426123.3024653992*t^2-2077464.184240649*t+6239000.990958628,0.005851670557724216*t^12+0.1459078118787958*t^11+2.610199855897878*t^10+48.78035419906175*t^9+102.7450311194604*t^8-5901.316830469696*t^7-23699.33009068263*t^6+288418.5963966243*t^5+924711.1624447204*t^4-2570914.257388993*t^3+3656299.787661533*t^2-61256402.88523059*t-58695063.41626108,0.0004356438142114702*t^12+0.04678413698436737*t^11+1.76746470814728*t^10+21.74619616598762*t^9-50.11298342901003*t^8-1082.099327209511*t^7+22675.25891442834*t^6+158084.9488522061*t^5-878888.5576094008*t^4-3721734.442952229*t^3+15345634.7052078*t^2-5096269.984086061*t+4650680.904626859] Nearest singular point at t=0.10395984356432068818026877783923154329 oh_hash.push_restrict Te=0.10395984356432068818026877783923154329 t in [0,0.10396] N=10396,M=24 ooooooo monotone at this neighborhood. break. t = [0 -> 0.00168] (169) y0 = [0.246970953929316,0.2469709517480487,0.246970949581557,0.2469709474298409,0.2469709452929004,0.2469709431707354,0.246970941063346,0.2469709389707322,0.246970936892894,0.2469709348298313,0.2469709327815443,0.2469709307480328,0.2469709287292969,0.2469709267253366,0.2469709247361519,0.2469709227617428,0.2469709208021093,0.2469709188572514,0.2469709169271691,0.2469709150118624,0.2469709131113314,0.2469709112255759,0.2469709093545961,0.2469709074983918,0.2469709056569632,0.2469709038303102,0.2469709020184328,0.2469709002213311,0.246970898439005,0.2469708966714545,0.2469708949186796,0.2469708931806804,0.2469708914574568,0.2469708897490089,0.2469708880553366,0.24697088637644,0.246970884712319,0.2469708830629736,0.2469708814284039,0.2469708798086099,0.2469708782035915,0.2469708766133487,0.2469708750378816,0.2469708734771902,0.2469708719312745,0.2469708704001344,0.24697086888377,0.2469708673821813,0.2469708658953683,0.2469708644233309,0.2469708629660692,0.2469708615235832,0.2469708600958729,0.2469708586829383,0.2469708572847793,0.2469708559013961,0.2469708545327885,0.2469708531789567,0.2469708518399005,0.2469708505156201,0.2469708492061153,0.2469708479113863,0.246970846631433,0.2469708453662554,0.2469708441158535,0.2469708428802273,0.2469708416593768,0.2469708404533021,0.2469708392620031,0.2469708380854798,0.2469708369237322,0.2469708357767604,0.2469708346445643,0.246970833527144,0.2469708324244994,0.2469708313366305,0.2469708302635373,0.24697082920522,0.2469708281616783,0.2469708271329124,0.2469708261189223,0.2469708251197079,0.2469708241352693,0.2469708231656065,0.2469708222107194,0.246970821270608,0.2469708203452725,0.2469708194347127,0.2469708185389287,0.2469708176579204,0.246970816791688,0.2469708159402313,0.2469708151035504,0.2469708142816453,0.246970813474516,0.2469708126821625,0.2469708119045848,0.2469708111417828,0.2469708103937567,0.2469708096605064,0.2469708089420318,0.2469708082383331,0.2469708075494102,0.2469708068752631,0.2469708062158918,0.2469708055712963,0.2469708049414766,0.2469708043264328,0.2469708037261647,0.2469708031406725,0.2469708025699562,0.2469708020140156,0.2469708014728509,0.2469708009464621,0.246970800434849,0.2469707999380119,0.2469707994559505,0.246970798988665,0.2469707985361554,0.2469707980984216,0.2469707976754636,0.2469707972672815,0.2469707968738753,0.2469707964952449,0.2469707961313904,0.2469707957823118,0.246970795448009,0.2469707951284821,0.2469707948237311,0.2469707945337559,0.2469707942585566,0.2469707939981332,0.2469707937524857,0.2469707935216141,0.2469707933055183,0.2469707931041985,0.2469707929176545,0.2469707927458865,0.2469707925888943,0.246970792446678,0.2469707923192377,0.2469707922065732,0.2469707921086847,0.246970792025572,0.2469707919572353,0.2469707919036745,0.2469707918648896,0.2469707918408807,0.2469707918316476,0.2469707918371905,0.2469707918575094,0.2469707918926041,0.2469707919424748,0.2469707920071214,0.246970792086544,0.2469707921807425,0.2469707922897169,0.2469707924134673,0.2469707925519937,0.246970792705296,0.2469707928733742,0.2469707930562284,0.2469707932538586,0.2469707934662647,0.2469707936934468,0.2469707939354049,0.2469707941921389,0.2469707944636489,0.2469707947499349] min(y0) = y0[148] DtY=PY has min Y = [ 0.2469707918316476 0.007321973281851336 1.052076134210866 0.0002530063716407914 ] at t=37/25000,X=[2.951441232350487,0.2020691801421085,0.8708070405442784,-0.4225817286490552,-0.3188575947907343,2.388802859389816,0.3760862377384747,5.567903189463755,0.252622587991486] Step <8> Xp=[2.951441232350487,0.2020691801421085,0.8708070405442784,-0.4225817286490552,-0.3188575947907343,2.388802859389816,0.3760862377384747,5.567903189463755,0.252622587991486] Yp=[ 0.2469707918316476 0.007321973281851336 1.052076134210866 0.0002530063716407914 ] Gp=-(grad f)(Xp)=[ 4.671497948772292e-05 -6.474702121285296e-05 -1.893515714042598e-05 -2.912868576709395e-05 2.826731217243363e-05 -6.444727392789645e-06 4.182465386796952e-05 -2.108471642711662e-05 -1.363603035227411e-05 ] |Gp|=0.0001039320464789539 Gp=Normalize(-(grad f)(Xp))=[ 0.4494761824706553 -0.6229745627684157 -0.1821878600673982 -0.2802666430030555 0.2719787893155527 -0.06200904928870705 0.4024230762783926 -0.2028702131963335 -0.1312014033615261 ] X(t)=[0.4494761824706553*t+2.951441232350487,-0.6229745627684157*t+0.2020691801421085,-0.1821878600673982*t+0.8708070405442784,-0.2802666430030555*t-0.4225817286490552,0.2719787893155527*t-0.3188575947907343,-0.06200904928870705*t+2.388802859389816,0.4024230762783926*t+0.3760862377384747,-0.2028702131963335*t+5.567903189463755,-0.1312014033615261*t+0.252622587991486] Singular locus = [-0.1312014033615261*t+0.252622587991486,-0.2028702131963335*t+5.567903189463755,0.4024230762783926*t+0.3760862377384747,-0.06200904928870705*t+2.388802859389816,-0.2802666430030555*t-0.4225817286490552,-0.6229745627684157*t+0.2020691801421085,0.4494761824706553*t+2.951441232350487,-0.04826378789207131*t^2+0.9404198782233415*t-13.38117369059347,0.1525218530177559*t^2+0.06342611977529164*t+0.2802454831437559,-0.05235100144885484*t^2+0.452786101786116*t-0.8556987090623276,-0.2954090481270188*t^2-0.7635322467135163*t-1.311656430734215,0.03703753854962716*t^2-0.6135557309945872*t+6.464684002890447,0.5901261444648925*t^2+2.401437157510762*t+8.751837301581867,0.02097654911070216*t^3-0.5420622894919798*t^2+1.988575462727009*t-2.890392568930907,0.08073405065677755*t^3-1.536429065140353*t^2-10.42676789061769*t+4.465170358804896,0.02151837770042663*t^3+1.119339892613386*t^2+0.4512864027068142*t-1.326506992695103,0.008905400909493717*t^4-0.05608105323265625*t^3+5.294550926524376*t^2-16.78132638220626*t+185.0523177126454,-0.0677881108600803*t^4-0.08290681799891832*t^3-0.3593701837271726*t^2-8.287442717341072*t+5.26919404682201,0.01361320144261296*t^4-0.1714762854599108*t^3-1.577052754922219*t^2-3.08649813898012*t+11.13231630708932,-0.002312713657651732*t^5-0.06366928904139857*t^4+0.5178432792430079*t^3+5.224207015968034*t^2+16.43288841511657*t-52.07330414340652,-0.0008140376226322055*t^6-0.04069828281233769*t^5-0.02598561188155619*t^4+3.306857181194866*t^3-13.80303867861704*t^2+23.774241629119*t-14.78349869921046,0.001134464460084333*t^6-0.08686265569563809*t^5+1.839786438567355*t^4-6.027726508260681*t^3+98.32443542954123*t^2-465.2198636672587*t+579.5729564141293,-0.004049230068646268*t^8+0.1330981115992466*t^7-0.9566488349408718*t^6-2.420690166251146*t^5+10.2446998028404*t^4+91.04839761433095*t^3+275.1778715520014*t^2-372.6420366884722*t-123.553166363219,1.263097847328212e-06*t^9+0.00392281381014684*t^8-0.085782764061604*t^7-0.05976439156089638*t^6+5.191224987541384*t^5+8.4556293723686*t^4+20.48752760295836*t^3+63.90135266224058*t^2-29.55150959846407*t+54.88063308474206,-0.002943816368288183*t^10+0.1715990829971261*t^9-4.33061388368808*t^8+56.57787608299589*t^7-552.9283955337954*t^6+4772.989267023192*t^5-46350.81396489766*t^4+396891.4477993331*t^3-2171360.241810129*t^2+1276427.286149218*t+6235925.411397183,-0.0002873851075575847*t^12-0.05933298036198145*t^11-1.802180572823982*t^10+19.76080776631347*t^9-157.4575959066652*t^8+4799.095442293485*t^7-34272.80277010642*t^6+321926.2082336594*t^5-2114852.171347514*t^4+12588823.06723133*t^3-53802272.46434063*t^2+101631794.3383169*t-58785714.89210195,0.0001130475397708972*t^12+0.03003067371819706*t^11+2.217574341855428*t^10+10.85106092342556*t^9+302.3284957150942*t^8-34.74927873639515*t^7+11500.99930818711*t^6-64791.24748340239*t^5+182363.9828647722*t^4-1815870.574814335*t^3+4482414.199993543*t^2-550301.5305080134*t+4643172.026059373] Nearest singular point at t=0.32436184752735346300535977577118368507 oh_hash.push_restrict Te=0.1638416497914886 t in [0,0.16384] N=16384,M=24 oooooooo monotone at this neighborhood. break. t = [0 -> 0.00192] (193) y0 = [0.2469707918316476,0.2469707907955511,0.2469707897659026,0.246970788742702,0.2469707877259493,0.2469707867156447,0.246970785711788,0.2469707847143792,0.2469707837234185,0.2469707827389058,0.246970781760841,0.2469707807892243,0.2469707798240555,0.2469707788653348,0.2469707779130622,0.2469707769672375,0.2469707760278609,0.2469707750949324,0.2469707741684519,0.2469707732484195,0.2469707723348352,0.2469707714276989,0.2469707705270108,0.2469707696327707,0.2469707687449788,0.2469707678636349,0.2469707669887392,0.2469707661202916,0.2469707652582921,0.2469707644027408,0.2469707635536376,0.2469707627109826,0.2469707618747757,0.246970761045017,0.2469707602217065,0.2469707594048441,0.24697075859443,0.246970757790464,0.2469707569929462,0.2469707562018767,0.2469707554172554,0.2469707546390822,0.2469707538673574,0.2469707531020808,0.2469707523432524,0.2469707515908723,0.2469707508449405,0.2469707501054569,0.2469707493724216,0.2469707486458346,0.2469707479256958,0.2469707472120054,0.2469707465047633,0.2469707458039695,0.246970745109624,0.2469707444217269,0.2469707437402781,0.2469707430652776,0.2469707423967255,0.2469707417346217,0.2469707410789663,0.2469707404297593,0.2469707397870007,0.2469707391506904,0.2469707385208286,0.2469707378974151,0.2469707372804501,0.2469707366699335,0.2469707360658653,0.2469707354682456,0.2469707348770742,0.2469707342923514,0.246970733714077,0.246970733142251,0.2469707325768735,0.2469707320179445,0.246970731465464,0.2469707309194319,0.2469707303798484,0.2469707298467133,0.2469707293200268,0.2469707287997888,0.2469707282859993,0.2469707277786584,0.246970727277766,0.2469707267833221,0.2469707262953268,0.2469707258137801,0.2469707253386819,0.2469707248700324,0.2469707244078314,0.2469707239520789,0.2469707235027752,0.24697072305992,0.2469707226235134,0.2469707221935554,0.2469707217700461,0.2469707213529855,0.2469707209423734,0.2469707205382101,0.2469707201404953,0.2469707197492293,0.2469707193644119,0.2469707189860432,0.2469707186141232,0.2469707182486519,0.2469707178896293,0.2469707175370554,0.2469707171909303,0.2469707168512538,0.2469707165180261,0.2469707161912471,0.2469707158709169,0.2469707155570354,0.2469707152496027,0.2469707149486188,0.2469707146540837,0.2469707143659973,0.2469707140843597,0.246970713809171,0.246970713540431,0.2469707132781398,0.2469707130222975,0.246970712772904,0.2469707125299594,0.2469707122934635,0.2469707120634166,0.2469707118398185,0.2469707116226692,0.2469707114119689,0.2469707112077174,0.2469707110099148,0.2469707108185611,0.2469707106336562,0.2469707104552004,0.2469707102831934,0.2469707101176353,0.2469707099585262,0.246970709805866,0.2469707096596548,0.2469707095198925,0.2469707093865791,0.2469707092597148,0.2469707091392994,0.246970709025333,0.2469707089178156,0.2469707088167472,0.2469707087221278,0.2469707086339574,0.246970708552236,0.2469707084769637,0.2469707084081404,0.2469707083457661,0.2469707082898409,0.2469707082403648,0.2469707081973377,0.2469707081607597,0.2469707081306307,0.2469707081069508,0.2469707080897201,0.2469707080789384,0.2469707080746059,0.2469707080767224,0.2469707080852881,0.2469707081003029,0.2469707081217668,0.2469707081496799,0.2469707081840422,0.2469707082248536,0.2469707082721141,0.2469707083258239,0.2469707083859828,0.246970708452591,0.2469707085256483,0.2469707086051548,0.2469707086911105,0.2469707087835155,0.2469707088823697,0.2469707089876731,0.2469707090994257,0.2469707092176276,0.2469707093422788,0.2469707094733792,0.2469707096109289,0.2469707097549279,0.2469707099053761,0.2469707100622736,0.2469707102256205,0.2469707103954166,0.2469707105716621,0.2469707107543569,0.246970710943501,0.2469707111390944] min(y0) = y0[161] DtY=PY has min Y = [ 0.2469707080746059 0.00733707846382589 1.051977394077193 0.0002535132069543252 ] at t=161/100000,X=[2.952164889004265,0.2010661910960514,0.8705137180895699,-0.4230329579442902,-0.3184197089399363,2.388703024820461,0.3767341388912829,5.567576568420509,0.2524113537320739] Step <9> Xp=[2.952164889004265,0.2010661910960514,0.8705137180895699,-0.4230329579442902,-0.3184197089399363,2.388703024820461,0.3767341388912829,5.567576568420509,0.2524113537320739] Yp=[ 0.2469707080746059 0.00733707846382589 1.051977394077193 0.0002535132069543252 ] Gp=-(grad f)(Xp)=[ -3.631165150578619e-05 -2.941518034200823e-05 4.941801430365707e-05 3.989594101765429e-05 1.242485224531851e-05 7.029008127534299e-05 3.520520387096174e-05 -1.449888366453211e-05 -1.648247538666944e-05 ] |Gp|=0.0001141664731785529 Gp=Normalize(-(grad f)(Xp))=[ -0.3180588004062793 -0.2576516513390388 0.4328592530520655 0.3494540902148939 0.1088310070320419 0.615680587464688 0.3083672718513593 -0.1269977363832226 -0.1443722918627025 ] X(t)=[-0.3180588004062793*t+2.952164889004265,-0.2576516513390388*t+0.2010661910960514,0.4328592530520655*t+0.8705137180895699,0.3494540902148939*t-0.4230329579442902,0.1088310070320419*t-0.3184197089399363,0.615680587464688*t+2.388703024820461,0.3083672718513593*t+0.3767341388912829,-0.1269977363832226*t+5.567576568420509,-0.1443722918627025*t+0.2524113537320739] Singular locus = [-0.1443722918627025*t+0.2524113537320739,-0.1269977363832226*t+5.567576568420509,0.3083672718513593*t+0.3767341388912829,0.615680587464688*t+2.388703024820461,0.3494540902148939*t-0.4230329579442902,-0.2576516513390388*t+0.2010661910960514,-0.3180588004062793*t+2.952164889004265,0.0624778590321663*t^2-3.051047770388919*t-13.37965973969409,0.1339623492595276*t^2-0.3649690700642407*t+0.2803479945484894,0.05542276386743027*t^2+0.2433047253784938*t-0.854969859137483,-0.139187437409513*t^2+1.270119050471771*t-1.312886483381218,0.5664297187336554*t^2+3.694975998767933*t+6.463696274168548,0.167545773953615*t^2-1.981534118725163*t+8.75570514507144,0.04307118957392349*t^3+0.05482161962730089*t^2+0.6283866858301737*t-2.887192367428037,-0.02642275550159055*t^3+0.5848235219652418*t^2-5.386769846182695*t+4.448379280260147,-0.08393789055262459*t^3-1.109355818396358*t^2-0.1595053526125191*t-1.325777520056007,0.06772566042984215*t^4-0.3080656309780039*t^3+13.36979045192562*t^2+74.09950151287512*t+185.0253135009414,0.09031804537845164*t^4+1.956752493557698*t^3+11.31127983764884*t^2+21.8440248302705*t+5.255850332177188,-0.01773151409418723*t^4-0.439125218962672*t^3+1.628943571035044*t^2+13.35667602039839*t+11.12734295649159,-0.004973732752481679*t^5+0.1106471858690303*t^4+0.924377163344493*t^3-22.00870431633666*t^2+77.69738460299382*t-52.04683364923051,-0.001975705623025301*t^6-0.05582568163314059*t^5-0.1979988834057028*t^4+1.105293705598466*t^3-1.868661788530459*t^2+9.169420859901871*t-14.74525793524389,0.01795860817464558*t^6+0.2860304961260458*t^5-1.036756398836278*t^4-12.45937315204814*t^3+225.3306090092711*t^2+722.1274202512678*t+578.8242072752508,-0.006801493588600647*t^8-0.1956435747254998*t^7-0.8268524372632271*t^6+0.4451658378312768*t^5-14.22985172943955*t^4-190.2746236549971*t^3+200.5611999736161*t^2+1128.444742888325*t-124.1524063736876,-0.001255369813421444*t^9-0.008686359088001364*t^8+0.09393272455620921*t^7-2.299339164978491*t^6+7.731015192915367*t^5+11.71642568147903*t^4-83.54923153894498*t^3+85.71487319067496*t^2-26.68282282277102*t+54.83322087854187,0.006140913594245787*t^10+0.1760934944498102*t^9+2.226071051783615*t^8-7.860429338179686*t^7+275.2318986357021*t^6+6844.095210796645*t^5+52053.69429002929*t^4+192349.1735028041*t^3-676100.3275725924*t^2-1696112.895362288*t+6237974.832601027,0.003287103959531481*t^12+0.09480663528263597*t^11+5.786673526571086*t^10+123.5270054096371*t^9+289.951262074017*t^8-9627.541689320395*t^7-9869.817142010214*t^6+590533.5273756663*t^5+558445.2827057421*t^4-7399308.395533859*t^3+19511254.98472141*t^2-65817815.04522061*t-58622227.1115652,0.001315855848341577*t^12+0.09498427088068642*t^11+2.383168218072143*t^10+19.76544510165001*t^9-50.31587089425838*t^8+148.3808477331684*t^7+29392.98914339744*t^6+147066.4026932137*t^5-934345.7110978657*t^4-3859240.246763481*t^3+14681750.15125418*t^2-3286880.084887122*t+4642297.651884196] Nearest singular point at t=0.10815677355974534669093790947266147965 oh_hash.push_restrict Te=0.10815677355974534669093790947266147965 t in [0,0.10816] N=10816,M=24 ooooo monotone at this neighborhood. break. t = [0 -> 0.0012] (121) y0 = [0.2469707080746059,0.2469707069402567,0.2469707058205389,0.2469707047154523,0.2469707036249969,0.2469707025491728,0.2469707014879799,0.2469707004414182,0.2469706994094877,0.2469706983921885,0.2469706973895204,0.2469706964014836,0.246970695428078,0.2469706944693035,0.2469706935251603,0.2469706925956482,0.2469706916807674,0.2469706907805177,0.2469706898948992,0.2469706890239118,0.2469706881675557,0.2469706873258306,0.2469706864987368,0.2469706856862741,0.2469706848884425,0.2469706841052421,0.2469706833366728,0.2469706825827347,0.2469706818434277,0.2469706811187518,0.246970680408707,0.2469706797132934,0.2469706790325109,0.2469706783663594,0.2469706777148391,0.2469706770779498,0.2469706764556917,0.2469706758480647,0.2469706752550687,0.2469706746767038,0.24697067411297,0.2469706735638673,0.2469706730293956,0.246970672509555,0.2469706720043455,0.246970671513767,0.2469706710378196,0.2469706705765032,0.2469706701298178,0.2469706696977635,0.2469706692803402,0.246970668877548,0.2469706684893867,0.2469706681158565,0.2469706677569573,0.2469706674126891,0.246970667083052,0.2469706667680458,0.2469706664676706,0.2469706661819264,0.2469706659108132,0.246970665654331,0.2469706654124798,0.2469706651852595,0.2469706649726702,0.2469706647747119,0.2469706645913845,0.2469706644226881,0.2469706642686226,0.2469706641291881,0.2469706640043845,0.2469706638942119,0.2469706637986702,0.2469706637177594,0.2469706636514796,0.2469706635998307,0.2469706635628127,0.2469706635404256,0.2469706635326694,0.2469706635395441,0.2469706635610498,0.2469706635971863,0.2469706636479537,0.246970663713352,0.2469706637933812,0.2469706638880412,0.2469706639973322,0.246970664121254,0.2469706642598066,0.2469706644129901,0.2469706645808045,0.2469706647632497,0.2469706649603258,0.2469706651720327,0.2469706653983705,0.2469706656393391,0.2469706658949385,0.2469706661651687,0.2469706664500298,0.2469706667495217,0.2469706670636444,0.2469706673923979,0.2469706677357822,0.2469706680937973,0.2469706684664431,0.2469706688537198,0.2469706692556273,0.2469706696721655,0.2469706701033346,0.2469706705491344,0.246970671009565,0.2469706714846263,0.2469706719743184,0.2469706724786412,0.2469706729975948,0.2469706735311792,0.2469706740793942,0.2469706746422401,0.2469706752197166,0.2469706758118239,0.2469706764185619] min(y0) = y0[78] DtY=PY has min Y = [ 0.2469706635326694 0.007347371239158408 1.0519342315945 0.0002523705205578317 ] at t=39/50000,X=[2.951916803139948,0.2008652228080069,0.8708513483069505,-0.4227603837539226,-0.3183348207544514,2.389183255678684,0.376974665363327,5.56747751018613,0.252298743344421] Step <10> Xp=[2.951916803139948,0.2008652228080069,0.8708513483069505,-0.4227603837539226,-0.3183348207544514,2.389183255678684,0.376974665363327,5.56747751018613,0.252298743344421] Yp=[ 0.2469706635326694 0.007347371239158408 1.0519342315945 0.0002523705205578317 ] Gp=-(grad f)(Xp)=[ 2.889725790443864e-05 -2.900077904202929e-05 -9.947125300583878e-06 -1.803022668747916e-05 2.083116384761567e-05 1.22874290103131e-06 2.032427504742446e-05 -1.014215155367704e-05 -1.240183881787735e-05 ] |Gp|=5.661557446813038e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.5104118111652346 -0.5122403033877929 -0.1756959174932198 -0.3184676099617889 0.3679405188998267 0.02170326650527912 0.3589873500067591 -0.1791406631294748 -0.2190534836815706 ] X(t)=[0.5104118111652346*t+2.951916803139948,-0.5122403033877929*t+0.2008652228080069,-0.1756959174932198*t+0.8708513483069505,-0.3184676099617889*t-0.4227603837539226,0.3679405188998267*t-0.3183348207544514,0.02170326650527912*t+2.389183255678684,0.3589873500067591*t+0.376974665363327,-0.1791406631294748*t+5.56747751018613,-0.2190534836815706*t+0.252298743344421] Singular locus = [-0.2190534836815706*t+0.252298743344421,-0.1791406631294748*t+5.56747751018613,0.3589873500067591*t+0.376974665363327,0.02170326650527912*t+2.389183255678684,-0.3184676099617889*t-0.4227603837539226,-0.5122403033877929*t+0.2008652228080069,0.5104118111652346*t+2.951916803139948,-0.07671071489878038*t^2+0.4697307066017308*t-13.38203951894347,0.2368018440430478*t^2+0.03501441973672853*t+0.2800634001765325,0.0246692415067247*t^2+0.7710621080758493*t-0.8547800477324783,-0.3510235926279693*t^2-0.9189014027917068*t-1.311895875203487,0.03134008720078348*t^2-0.2023038914261047*t+6.466578700063428,0.5229103453917932*t^2+2.80760387845704*t+8.75415965039368,0.005410948167152032*t^3-0.3377489043015379*t^2+3.195503650478453*t-2.886702192439177,0.08898631352373657*t^3-1.685246965035432*t^2-8.834508584750553*t+4.444177955574217,0.02754828530464632*t^3+1.070822306435526*t^2+0.2319683649914472*t-1.325902609202957,0.01535516979434829*t^4+0.08052169385678842*t^3+6.177190721684276*t^2-3.16040783582817*t+185.0831192461559,-0.07984799252720097*t^4-0.1496691965107228*t^3-1.969833561398224*t^2-8.21393063642291*t+5.272895554256066,0.009579441592743092*t^4-0.2411517914241515*t^3-2.622586949744749*t^2-2.714187975826017*t+11.13776215462837,-0.004689134505228049*t^5-0.1093344378735436*t^4+0.2057020965350266*t^3+5.925155288617594*t^2+40.67682693741702*t-51.98624307889717,0.004371791497960706*t^6-0.05586171892201461*t^5+0.5771619551008917*t^4-1.163595427045758*t^3-7.423431482574765*t^2+22.38919550900708*t-14.73810692334255,8.842687249527477e-05*t^6+0.01779132021577706*t^5+1.9811241770146*t^4+0.3659831039785937*t^3+85.79210070254302*t^2-472.4803542350691*t+579.3876037482765,-0.0008798993409784336*t^8+0.05241520603817779*t^7-1.122568868748846*t^6-4.908630907573796*t^5+10.58965098486816*t^4+72.30737458186178*t^3+144.8518711917408*t^2-543.4624990033394*t-123.2720975431009,0.0006532820276142536*t^9+0.003688521999284643*t^8-0.1786065899519669*t^7+0.03216771999158645*t^6+11.80960988599806*t^5+16.41654543498142*t^4+37.06264180744354*t^3+97.57097311334968*t^2-76.56299155691119*t+54.81246038602483,-0.004739925995800484*t^10+0.1006743879510447*t^9-3.270633102786945*t^8+30.7656067491123*t^7-254.0017082902471*t^6+1009.388233613481*t^5-8891.838906951696*t^4+209545.1826801598*t^3-2028559.351375385*t^2+2144414.081817509*t+6236651.453294506,-0.0005493365716842652*t^12-0.278189590237323*t^11-1.633561581130583*t^10+4.608671208596084*t^9+84.0053441552278*t^8+3557.836973290899*t^7-33414.88256229503*t^6+270176.2453106674*t^5-1780125.899482314*t^4+16989519.16060471*t^3-76174392.01856717*t^2+121804000.7825281*t-58673553.14016417,0.001130803108772132*t^12+0.0391095373212646*t^11+1.66958474336526*t^10+14.98534760059992*t^9+255.9661119182748*t^8+739.4712984636502*t^7+9639.951704410802*t^6-40148.91254022948*t^5+61097.43457938699*t^4-1729227.674054137*t^3+4548375.653529534*t^2-1002093.536823217*t+4639742.815963041] Nearest singular point at t=0.39213084460466865110559459227398186907 oh_hash.push_restrict Te=0.1969099700685727 t in [0,0.19691] N=19691,M=24 ooooo monotone at this neighborhood. break. t = [0 -> 0.0012] (121) y0 = [0.2469706635326694,0.2469706629696564,0.2469706624129287,0.2469706618624864,0.2469706613183295,0.2469706607804581,0.246970660248872,0.2469706597235713,0.2469706592045561,0.2469706586918263,0.2469706581853819,0.2469706576852229,0.2469706571913494,0.2469706567037614,0.2469706562224588,0.2469706557474417,0.2469706552787101,0.2469706548162639,0.2469706543601032,0.246970653910228,0.2469706534666383,0.2469706530293341,0.2469706525983154,0.2469706521735822,0.2469706517551346,0.2469706513429724,0.2469706509370957,0.2469706505375046,0.2469706501441991,0.246970649757179,0.2469706493764445,0.2469706490019956,0.2469706486338323,0.2469706482719545,0.2469706479163623,0.2469706475670556,0.2469706472240346,0.2469706468872991,0.2469706465568492,0.246970646232685,0.2469706459148064,0.2469706456032133,0.2469706452979059,0.2469706449988841,0.246970644706148,0.2469706444196975,0.2469706441395327,0.2469706438656535,0.2469706435980599,0.2469706433367521,0.2469706430817299,0.2469706428329934,0.2469706425905425,0.2469706423543774,0.246970642124498,0.2469706419009043,0.2469706416835962,0.2469706414725739,0.2469706412678373,0.2469706410693865,0.2469706408772213,0.2469706406913419,0.2469706405117483,0.2469706403384404,0.2469706401714182,0.2469706400106818,0.2469706398562312,0.2469706397080664,0.2469706395661873,0.2469706394305941,0.2469706393012866,0.2469706391782649,0.246970639061529,0.246970638951079,0.2469706388469147,0.2469706387490363,0.2469706386574436,0.2469706385721369,0.2469706384931159,0.2469706384203808,0.2469706383539316,0.2469706382937682,0.2469706382398907,0.2469706381922991,0.2469706381509933,0.2469706381159734,0.2469706380872393,0.2469706380647912,0.246970638048629,0.2469706380387527,0.2469706380351623,0.2469706380378578,0.2469706380468392,0.2469706380621066,0.2469706380836598,0.2469706381114991,0.2469706381456243,0.2469706381860354,0.2469706382327325,0.2469706382857156,0.2469706383449847,0.2469706384105397,0.2469706384823808,0.2469706385605078,0.2469706386449208,0.2469706387356198,0.2469706388326048,0.2469706389358758,0.2469706390454329,0.246970639161276,0.2469706392834051,0.2469706394118202,0.2469706395465214,0.2469706396875087,0.246970639834782,0.2469706399883414,0.2469706401481868,0.2469706403143184,0.246970640486736,0.2469706406654397,0.2469706408504294] min(y0) = y0[90] DtY=PY has min Y = [ 0.2469706380351623 0.007354615876481325 1.051879392174837 0.0002522508583508746 ] at t=9/10000,X=[2.952376173769997,0.2004042065349579,0.8706932219812067,-0.4230470046028882,-0.3180036742874415,2.389202788618539,0.377297753978333,5.567316283589314,0.2521015952091076] Step <11> Xp=[2.952376173769997,0.2004042065349579,0.8706932219812067,-0.4230470046028882,-0.3180036742874415,2.389202788618539,0.377297753978333,5.567316283589314,0.2521015952091076] Yp=[ 0.2469706380351623 0.007354615876481325 1.051879392174837 0.0002522508583508746 ] Gp=-(grad f)(Xp)=[ -1.635392084026232e-05 -1.3252104363455e-05 3.141600502135772e-05 2.370280794647666e-05 9.657818379601221e-06 4.167613270647345e-05 1.781091660249881e-05 -5.783096643396934e-06 -1.27095232154914e-05 ] |Gp|=6.5834914016448e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.2484080230768814 -0.2012929546797028 0.4771936819649956 0.360034007799491 0.1466975164148971 0.6330399808232636 0.2705390729005734 -0.08784239684663525 -0.1930514136057973 ] X(t)=[-0.2484080230768814*t+2.952376173769997,-0.2012929546797028*t+0.2004042065349579,0.4771936819649956*t+0.8706932219812067,0.360034007799491*t-0.4230470046028882,0.1466975164148971*t-0.3180036742874415,0.6330399808232636*t+2.389202788618539,0.2705390729005734*t+0.377297753978333,-0.08784239684663525*t+5.567316283589314,-0.1930514136057973*t+0.2521015952091076] Singular locus = [-0.1930514136057973*t+0.2521015952091076,-0.08784239684663525*t+5.567316283589314,0.2705390729005734*t+0.377297753978333,0.6330399808232636*t+2.389202788618539,0.360034007799491*t-0.4230470046028882,-0.2012929546797028*t+0.2004042065349579,-0.2484080230768814*t+2.952376173769997,0.02728758629890795*t^2-3.216086757141067*t-13.38161682344321,0.151144648094463*t^2-0.3979233155670542*t+0.2800951049637893,0.03603146917222177*t^2+0.354792205091932*t-0.8540860718531245,-0.1189645126412469*t^2+1.261454795030236*t-1.312723170795109,0.6284534274280273*t^2+3.85590038389829*t+6.466396651946616,0.1022253995326493*t^2-1.54746776713831*t+8.756686917441671,0.06036005310075528*t^3-0.1382102815818748*t^2+0.9108188520723766*t-2.883826512726415,-0.03014727647995948*t^3+0.3274967874536153*t^2-4.483623467798409*t+4.43622553286277,-0.1005376128549262*t^3-0.9811941062711389*t^2-0.2364374190341001*t-1.325692970288314,0.06379905835008601*t^4-0.1278514953814359*t^3+15.21950405789152*t^2+78.24588682252134*t+185.0802798826868,0.1157314469087307*t^4+2.305880531873521*t^3+12.4654706124705*t^2+22.88217393784943*t+5.265501421008942,-0.0353615885034235*t^4-0.4727315473440173*t^3+2.466175635079765*t^2+15.30946463013874*t+11.1353172609789,-0.003935826660343075*t^5+0.1070122047941528*t^4+0.5147093686971035*t^3-22.58571288808171*t^2+90.92434429226108*t-51.94962913512779,-0.004598741666931381*t^6-0.09192421504535209*t^5-0.1164919848715746*t^4+2.542352368033969*t^3-4.22215906688522*t^2+6.150966691490973*t-14.71796266121182,0.01905948385016122*t^6+0.241527766294424*t^5-1.22670573600711*t^4-7.83035156960592*t^3+291.33322086905*t^2+803.3401835160196*t+578.9624409213349,-0.008738669254499391*t^8-0.1754338575839966*t^7-0.70948305608474*t^6-2.608107056204259*t^5-16.00227266319677*t^4-147.9883616508566*t^3+322.9286364446361*t^2+1060.080413703684*t-123.761096409469,-0.002221715288318328*t^9-0.008078797210084209*t^8+0.07713311793595656*t^7-2.665103450559282*t^6+9.863720766828928*t^5+9.042463080593219*t^4-86.84613931561643*t^3+83.60094867306299*t^2-42.14626366738244*t+54.74363275314126,0.01011819886827838*t^10+0.2471065358791026*t^9+1.609900415303693*t^8-7.178094172591087*t^7+580.000565333388*t^6+8805.084970195569*t^5+58120.05512773895*t^4+95515.71208444583*t^3-914034.7411897937*t^2-1220892.533165487*t+6238579.78298782,0.0001241914386906682*t^12+0.1906392550347666*t^11+10.696054738836*t^10+147.7076671664694*t^9-34.4274711935887*t^8-8699.8319653255*t^7+41108.72265140388*t^6+713681.274601643*t^5-599762.641413787*t^4-8807851.674587624*t^3+29885213.433643*t^2-68572699.59499124*t-58563991.22833326,0.00358968635107373*t^12+0.1726420822860084*t^11+2.805613970108416*t^10+13.45802287911546*t^9+27.75698085154124*t^8+2952.272486780967*t^7+41278.26787741339*t^6+80371.02852593138*t^5-1188579.607564673*t^4-3042426.636050656*t^3+14123547.1181063*t^2-2044458.208610293*t+4638844.614703599] Nearest singular point at t=0.11305741483444575122135874125481004415 oh_hash.push_restrict Te=0.11305741483444575122135874125481004415 t in [0,0.11306] N=11306,M=24 ooo monotone at this neighborhood. break. t = [0 -> 0.00072] (73) y0 = [0.2469706380351623,0.2469706373840403,0.2469706367473729,0.2469706361251598,0.2469706355174013,0.2469706349240971,0.2469706343452473,0.246970633780852,0.2469706332309111,0.2469706326954245,0.2469706321743924,0.2469706316678146,0.2469706311756913,0.2469706306980222,0.2469706302348076,0.2469706297860473,0.2469706293517414,0.2469706289318898,0.2469706285264926,0.2469706281355497,0.2469706277590611,0.2469706273970268,0.2469706270494469,0.2469706267163212,0.2469706263976499,0.2469706260934328,0.2469706258036701,0.2469706255283616,0.2469706252675074,0.2469706250211075,0.2469706247891618,0.2469706245716704,0.2469706243686332,0.2469706241800503,0.2469706240059216,0.2469706238462471,0.2469706237010268,0.2469706235702608,0.246970623453949,0.2469706233520914,0.246970623264688,0.2469706231917387,0.2469706231332437,0.2469706230892028,0.2469706230596161,0.2469706230444836,0.2469706230438052,0.246970623057581,0.2469706230858109,0.246970623128495,0.2469706231856331,0.2469706232572255,0.2469706233432719,0.2469706234437725,0.2469706235587271,0.2469706236881359,0.2469706238319987,0.2469706239903157,0.2469706241630867,0.2469706243503118,0.2469706245519909,0.2469706247681241,0.2469706249987114,0.2469706252437527,0.2469706255032481,0.2469706257771975,0.246970626065601,0.2469706263684584,0.2469706266857699,0.2469706270175354,0.2469706273637549,0.2469706277244284,0.2469706280995559] min(y0) = y0[46] DtY=PY has min Y = [ 0.2469706230438052 0.007360109519208595 1.051858364975601 0.0002513515532736589 ] at t=23/50000,X=[2.952261906079381,0.2003116117758053,0.8709127310749106,-0.4228813889593004,-0.3179361934298907,2.389493987009717,0.3774222019518673,5.567275876086764,0.2520127915588489] Step <12> Xp=[2.952261906079381,0.2003116117758053,0.8709127310749106,-0.4228813889593004,-0.3179361934298907,2.389493987009717,0.3774222019518673,5.567275876086764,0.2520127915588489] Yp=[ 0.2469706230438052 0.007360109519208595 1.051858364975601 0.0002513515532736589 ] Gp=-(grad f)(Xp)=[ 1.996972460154445e-05 -1.366088406157099e-05 -5.614485131166282e-06 -1.253581830676798e-05 1.43451604115222e-05 2.992505170650375e-06 9.681448879510918e-06 -3.388958799921404e-06 -9.493679561539594e-06 ] |Gp|=3.441166950488767e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.5803183887578616 -0.3969840539015599 -0.1631564295469252 -0.3642897449363058 0.4168690626731923 0.08696192930207393 0.2813420278297108 -0.09848283587171069 -0.2758854684510775 ] X(t)=[0.5803183887578616*t+2.952261906079381,-0.3969840539015599*t+0.2003116117758053,-0.1631564295469252*t+0.8709127310749106,-0.3642897449363058*t-0.4228813889593004,0.4168690626731923*t-0.3179361934298907,0.08696192930207393*t+2.389493987009717,0.2813420278297108*t+0.3774222019518673,-0.09848283587171069*t+5.567275876086764,-0.2758854684510775*t+0.2520127915588489] Singular locus = [-0.2758854684510775*t+0.2520127915588489,-0.09848283587171069*t+5.567275876086764,0.2813420278297108*t+0.3774222019518673,0.08696192930207393*t+2.389493987009717,-0.3642897449363058*t-0.4228813889593004,-0.3969840539015599*t+0.2003116117758053,0.5803183887578616*t+2.952261906079381,-0.1064438592278118*t^2-0.05604659514153158*t-13.38309621757744,0.3064868336797847*t^2+0.04302718075458606*t+0.279912092220836,0.09729956303392701*t^2+0.9512967319070447*t-0.8539228598145232,-0.3768944082685967*t^2-1.111165270234013*t-1.312142926762286,0.03418239765043968*t^2+0.1313999910338518*t+6.468170499103955,0.4943657713826372*t^2+3.267462713681771*t+8.755975103899683,-0.007107476669471048*t^3-0.07613798616087136*t^2+3.809136835470754*t-2.883407565293882,0.07250535271087774*t^3-1.80619269055381*t^2-6.939024055339426*t+4.43416313536297,0.01991128735506303*t^3+0.9764382850827245*t^2+0.0475867012310686*t-1.325801939131529,0.02373881737710435*t^4+0.2429616859493508*t^3+7.745685110671006*t^2+12.05209548584196*t+185.1162762110598,-0.0767914744825427*t^4-0.3039324852252945*t^3-3.014114791396452*t^2-8.513107361807851*t+5.276029858938386,0.004517018091562691*t^4-0.347334047915706*t^3-3.360795725516531*t^2-2.372166690545933*t+11.14236013650552,-0.006968170585956761*t^5-0.1659661250928143*t^4-0.4034496183821941*t^3+9.298409399266607*t^2+55.90578866224367*t-51.90780871584015,0.00437896315362688*t^6-0.02379165172382561*t^5+0.7329131404802092*t^4-3.96966208876157*t^3-0.5003852371934018*t^2+19.78407771534248*t-14.71513410969513,0.001596758914367939*t^6+0.09870729169688743*t^5+2.183826814580978*t^4+8.316065991444637*t^3+56.9376912577255*t^2-446.7447616202858*t+579.3320390510996,-0.002107847715314745*t^8-0.02473637498276043*t^7-1.23267352505198*t^6-5.585513512542542*t^5+12.46696305758632*t^4+50.02147715367985*t^3+8.891231254214986*t^2-690.4932294454754*t-123.2733911018713,0.00171544544317012*t^9-0.005454501585074347*t^8-0.250299772394612*t^7+0.6180467174006002*t^6+22.12818244615394*t^5+33.95783523692033*t^4+69.59464789802605*t^3+127.0660916156245*t^2-101.1839889039875*t+54.72426315336219,-0.004643426695016735*t^10+0.0156186389461599*t^9-1.676552029244051*t^8+7.739666376110241*t^7-62.92584896982422*t^6+252.0737092344162*t^5+10496.64495982911*t^4-60568.42181234377*t^3-1635481.440861902*t^2+3108387.283498766*t+6238017.979022116,0.001542564976050412*t^12-0.2622414810422001*t^11-1.311024196268338*t^10-12.00386237970466*t^9+271.3583567751543*t^8-976.7467137593023*t^7-20748.86340426631*t^6+84106.43317459486*t^5+836481.8135309183*t^4+10429097.43497644*t^3-79215219.27753724*t^2+129519264.0405232*t-58595528.34729315,0.001685059638923284*t^12+0.04951721604123251*t^11+1.528688831194799*t^10+21.19127557212225*t^9+273.858868151002*t^8+1692.228440097995*t^7+8466.439621228292*t^6-25974.06024845634*t^5-167618.8561339628*t^4-1321376.228697025*t^3+4806817.604836497*t^2-703633.2426135505*t+4637907.152174014] Nearest singular point at t=0.50458352119472414159917843242929887639 oh_hash.push_restrict Te=0.2526842345175897 t in [0,0.25268] N=25268,M=24 oooo monotone at this neighborhood. break. t = [0 -> 0.00096] (97) y0 = [0.2469706230438052,0.2469706227028903,0.2469706223683791,0.2469706220402715,0.2469706217185674,0.2469706214032671,0.2469706210943703,0.2469706207918772,0.2469706204957878,0.246970620206102,0.2469706199228198,0.2469706196459413,0.2469706193754664,0.2469706191113952,0.2469706188537277,0.2469706186024638,0.2469706183576036,0.246970618119147,0.2469706178870941,0.2469706176614449,0.2469706174421993,0.2469706172293575,0.2469706170229193,0.2469706168228848,0.246970616629254,0.2469706164420268,0.2469706162612034,0.2469706160867837,0.2469706159187676,0.2469706157571553,0.2469706156019467,0.2469706154531418,0.2469706153107405,0.2469706151747431,0.2469706150451493,0.2469706149219593,0.2469706148051729,0.2469706146947903,0.2469706145908115,0.2469706144932363,0.2469706144020649,0.2469706143172973,0.2469706142389334,0.2469706141669732,0.2469706141014168,0.2469706140422642,0.2469706139895153,0.2469706139431701,0.2469706139032287,0.2469706138696911,0.2469706138425573,0.2469706138218272,0.2469706138075008,0.2469706137995782,0.2469706137980594,0.2469706138029444,0.2469706138142332,0.2469706138319257,0.246970613856022,0.2469706138865221,0.2469706139234259,0.2469706139667336,0.246970614016445,0.2469706140725602,0.2469706141350793,0.2469706142040021,0.2469706142793288,0.2469706143610592,0.2469706144491935,0.2469706145437316,0.2469706146446735,0.2469706147520192,0.2469706148657687,0.2469706149859221,0.2469706151124793,0.2469706152454403,0.2469706153848052,0.2469706155305739,0.2469706156827464,0.2469706158413228,0.246970616006303,0.2469706161776871,0.246970616355475,0.2469706165396668,0.2469706167302625,0.246970616927262,0.2469706171306654,0.2469706173404727,0.2469706175566838,0.2469706177792988,0.2469706180083176,0.2469706182437404,0.246970618485567,0.2469706187337975,0.2469706189884319,0.2469706192494702,0.2469706195169123] min(y0) = y0[54] DtY=PY has min Y = [ 0.2469706137980594 0.007363111299696649 1.051834692191141 0.000251084284976676 ] at t=27/50000,X=[2.952575278009311,0.2000972403866984,0.8708246266029553,-0.423078105421566,-0.3177110841360472,2.38954094645154,0.3775741266468954,5.567222695355394,0.2518638134058853] Step <13> Xp=[2.952575278009311,0.2000972403866984,0.8708246266029553,-0.423078105421566,-0.3177110841360472,2.38954094645154,0.3775741266468954,5.567222695355394,0.2518638134058853] Yp=[ 0.2469706137980594 0.007363111299696649 1.051834692191141 0.000251084284976676 ] Gp=-(grad f)(Xp)=[ -7.624443858311129e-06 -6.322623716658411e-06 2.115219241289202e-05 1.440885441095392e-05 6.67681502895649e-06 2.743737156313611e-05 9.57716966258626e-06 -9.486653018975222e-07 -9.022505394724357e-06 ] |Gp|=4.152776191347626e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1835987182308735 -0.1522505289312652 0.5093506473323302 0.3469692019756566 0.1607795537565385 0.6606995007412704 0.230620896029515 -0.02284412302001926 -0.2172644269518518 ] X(t)=[-0.1835987182308735*t+2.952575278009311,-0.1522505289312652*t+0.2000972403866984,0.5093506473323302*t+0.8708246266029553,0.3469692019756566*t-0.423078105421566,0.1607795537565385*t-0.3177110841360472,0.6606995007412704*t+2.38954094645154,0.230620896029515*t+0.3775741266468954,-0.02284412302001926*t+5.567222695355394,-0.2172644269518518*t+0.2518638134058853] Singular locus = [-0.2172644269518518*t+0.2518638134058853,-0.02284412302001926*t+5.567222695355394,0.230620896029515*t+0.3775741266468954,0.6606995007412704*t+2.38954094645154,0.3469692019756566*t-0.423078105421566,-0.1522505289312652*t+0.2000972403866984,-0.1835987182308735*t+2.952575278009311,-0.01983857693828991*t^2-3.514152419836778*t-13.38312651377785,0.1462376920257756*t^2-0.3957530378847864*t+0.2799354162700042,0.02330732453622041*t^2+0.3992036383018693*t-0.8534091312067409,-0.08818187284908539*t^2+1.182672511475216*t-1.312743065910622,0.6959619122176277*t^2+4.044647195189011*t+6.468241465066701,0.05688871289586972*t^2-1.145107894418472*t+8.75773967792213,0.0642194399500825*t^3-0.2641134509021075*t^2+0.9880444887717992*t-2.881350653605684,-0.03140142034150487*t^3+0.1041479279888636*t^2-3.578190454885215*t+4.430415535698715,-0.1091551605941534*t^3-0.8212452490711131*t^2-0.3235013587698046*t-1.325775957580325,0.05429146909312013*t^4+0.2465388898811307*t^3+17.74458861386375*t^2+86.57860782047359*t+185.1227866013022,0.1602192309099054*t^4+2.755475892527849*t^3+13.60457424476463*t^2+23.28512972989672*t+5.271431901999273,-0.04568416103115467*t^4-0.4031098771766497*t^3+3.339962677469336*t^2+16.51247790173626*t+11.1410781864299,-0.002021438247853303*t^5+0.09028558719579066*t^4-0.2069412172094579*t^3-18.64272477655911*t^2+96.6885751888192*t-51.87761687860986,-0.007108347808976915*t^6-0.1074504786323956*t^5+0.04818778389225914*t^4+3.008277073938018*t^3-5.524580187855701*t^2+3.602424383601834*t-14.70445085426621,0.01810039973040727*t^6+0.1443208954425307*t^5-1.233366863229757*t^4+6.591466970631996*t^3+360.2873700534047*t^2+869.6246542424427*t+579.0908134841652,-0.009831289783770269*t^8-0.1661348262803682*t^7-0.8446983882341415*t^6-4.253512512064084*t^5-16.00798093839101*t^4-81.23504548168866*t^3+456.2877755805059*t^2+999.7747027522144*t-123.6462548452111,-0.002547656785566686*t^9-0.002568203935010144*t^8+0.01300217121121258*t^7-2.123119933860139*t^6+9.546218045520835*t^5+0.1493332241318974*t^4-75.17175220531936*t^3+75.01915688862152*t^2-46.26778998531628*t+54.66966086278791,0.01208690437683675*t^10+0.2152223947444156*t^9+0.79428098847129*t^8+25.1715087251085*t^7+1141.873642075796*t^6+11647.03646930792*t^5+51866.27531766784*t^4-51246.77210954064*t^3-1118289.709466466*t^2-563698.2447942779*t+6239696.03123928,0.001780074089011282*t^12+0.4454714777620875*t^11+13.26312820471073*t^10+108.5346698585015*t^9-284.8107025732187*t^8-708.6669570318032*t^7+99686.24497175457*t^6+528440.3053000713*t^5-1865633.280360932*t^4-5555676.202501359*t^3+30280745.00338283*t^2-73610636.96812735*t-58525611.04222696,0.006734007822395285*t^12+0.226261879344553*t^11+2.528608813354251*t^10+16.92907629864546*t^9+411.9272415191272*t^8+7295.086108212153*t^7+45340.7828034274*t^6-54926.8052222901*t^5-1430442.253910139*t^4-1483631.120930941*t^3+13502361.28368881*t^2-1034136.515801456*t+4637528.59168295] Nearest singular point at t=0.11750728144764059855654462107227863364 oh_hash.push_restrict Te=0.11750728144764059855654462107227863364 t in [0,0.11751] N=11751,M=24 ooo monotone at this neighborhood. break. t = [0 -> 0.00072] (73) y0 = [0.2469706137980594,0.2469706133898048,0.2469706129955962,0.2469706126154335,0.2469706122493169,0.2469706118972462,0.2469706115592215,0.2469706112352428,0.24697061092531,0.2469706106294232,0.2469706103475824,0.2469706100797874,0.2469706098260384,0.2469706095863354,0.2469706093606782,0.246970609149067,0.2469706089515017,0.2469706087679823,0.2469706085985088,0.2469706084430812,0.2469706083016994,0.2469706081743636,0.2469706080610736,0.2469706079618295,0.2469706078766312,0.2469706078054788,0.2469706077483723,0.2469706077053116,0.2469706076762967,0.2469706076613278,0.2469706076604046,0.2469706076735272,0.2469706077006957,0.2469706077419099,0.24697060779717,0.2469706078664759,0.2469706079498275,0.246970608047225,0.2469706081586682,0.2469706082841572,0.246970608423692,0.2469706085772725,0.2469706087448988,0.2469706089265709,0.2469706091222887,0.2469706093320522,0.2469706095558615,0.2469706097937165,0.2469706100456172,0.2469706103115636,0.2469706105915558,0.2469706108855936,0.2469706111936771,0.2469706115158063,0.2469706118519812,0.2469706122022018,0.2469706125664681,0.24697061294478,0.2469706133371375,0.2469706137435408,0.2469706141639896,0.2469706145984841,0.2469706150470243,0.2469706155096101,0.2469706159862415,0.2469706164769185,0.2469706169816411,0.2469706175004094,0.2469706180332232,0.2469706185800826,0.2469706191409876,0.2469706197159382,0.2469706203049344] min(y0) = y0[30] DtY=PY has min Y = [ 0.2469706076604046 0.007366296900486586 1.051825680029316 0.0002504159337291153 ] at t=3/10000,X=[2.952520198393841,0.2000515652280191,0.870977431797155,-0.4229740146609733,-0.3176628502699202,2.389739156301763,0.3776433129157042,5.567215842118488,0.2517986340777998] Step <14> Xp=[2.952520198393841,0.2000515652280191,0.870977431797155,-0.4229740146609733,-0.3176628502699202,2.389739156301763,0.3776433129157042,5.567215842118488,0.2517986340777998] Yp=[ 0.2469706076604046 0.007366296900486586 1.051825680029316 0.0002504159337291153 ] Gp=-(grad f)(Xp)=[ 1.507403266680927e-05 -6.961167762429047e-06 -3.410083400570869e-06 -9.650806065609162e-06 9.609898197533544e-06 3.210613831067591e-06 4.713915372610983e-06 4.328540149645121e-07 -6.626275278298448e-06 ] |Gp|=2.34398189692873e-05 Finished min Y = [ 0.2469706076604046 0.007366296900486586 1.051825680029316 0.0002504159337291153 ] X = [2.952520198393841,0.2000515652280191,0.870977431797155,-0.4229740146609733,-0.3176628502699202,2.389739156301763,0.3776433129157042,5.567215842118488,0.2517986340777998] Xs=[2.953,0.3,0.871,-0.423,-0.317,2.39,0.378,5.566,0.251] Xp=[2.952520198393841,0.2000515652280191,0.870977431797155,-0.4229740146609733,-0.3176628502699202,2.389739156301763,0.3776433129157042,5.567215842118488,0.2517986340777998] Ys0=0.2471655055754141 Yp0=0.2469706076604046 hgd_test: time = 11158.4055109024 (node = 12) Calling the registered quit callbacks...done.