nohup: ignoring input 0 Thu Sep 15 12:33:23 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 93117792 222056 5146764 0 0 0 0 0 0 5 0 95 0 hgd_test.rr: DataType=comets_p2, 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], [2.953,0.2,0.971,-0.423,-0.217,2.39,0.478,5.566,0.251], 31.43496, [7.984493,1.447231,7.0314402,6.001657,-1.322728,-4.4744557,2.878684,24.025332,0.3408292], [[2.753,3.153],[0,0.4],[0.7709999999999999,1.171],[-0.623,-0.223],[-0.417,-0.01699999999999999],[2.19,2.59],[0.278,0.6779999999999999],[5.366,5.766],[0.05099999999999999,0.451]] ] C=0.00787938046024125 Fs=31.43496 Region=[[2.753,3.153],[0,0.4],[0.7709999999999999,1.171],[-0.623,-0.223],[-0.417,-0.01699999999999999],[2.19,2.59],[0.278,0.6779999999999999],[5.366,5.766],[0.05099999999999999,0.451]] H=1/100000 Step <0> Xp=[2.953,0.2,0.971,-0.423,-0.217,2.39,0.478,5.566,0.251] Yp=[ 0.2476880095924653 0.01084211380826676 1.053670135593615 0.0006740662576286739 ] Gp=-(grad f)(Xp)=[ 0.0007429487550455862 -0.0005050081006057691 -0.008590359668851803 -0.008154632492359665 -0.002457501441664714 -0.0009065220417179172 -0.003114893703004364 0.0001765958266271295 -0.001694770900389796 ] |Gp|=0.01267148014952065 Gp=Normalize(-(grad f)(Xp))=[ 0.058631568394454 -0.03985391561575962 -0.6779286687496227 -0.6435422220716771 -0.1939395723835529 -0.07154034343432326 -0.2458192465480994 0.01393647975953385 -0.1337468772702065 ] X(t)=[0.058631568394454*t+2.953,-0.03985391561575962*t+0.2,-0.6779286687496227*t+0.971,-0.6435422220716771*t-0.423,-0.1939395723835529*t-0.217,-0.07154034343432326*t+2.39,-0.2458192465480994*t+0.478,0.01393647975953385*t+5.566,-0.1337468772702065*t+0.251] Singular locus = [-0.1337468772702065*t+0.251,0.01393647975953385*t+5.566,-0.2458192465480994*t+0.478,-0.07154034343432326*t+2.39,-0.6435422220716771*t-0.423,-0.03985391561575962*t+0.2,0.058631568394454*t+2.953,0.02693583273368192*t^2+0.3452296046295204*t-13.357207,0.4517591493252672*t^2+0.6286064942871008*t+0.226018,-0.0370186587162205*t^2-0.4735763694813592*t-0.5562009999999999,-0.03000263845578382*t^2-1.955320949996607*t-1.292519,0.4647053006513365*t^2-1.658500316327832*t+6.654941,0.005025995402301625*t^2+0.3303364766913415*t+8.760208999999998,0.05839560993533539*t^3-0.3589124819038637*t^2-3.575539528209443*t-1.221245613,0.0008653933000402137*t^3+1.146669563313591*t^2-0.4613154307775069*t+4.264142949,-0.04417102931043759*t^3-0.1537273410496019*t^2+0.7282220807959164*t-1.662522203,0.008624245644101098*t^4+0.4913710096656074*t^3+12.34237538744104*t^2+5.460091975577241*t+185.039577799362,-0.001825112562370603*t^4-0.2696964392589563*t^3+4.582877203351494*t^2-27.32078998262592*t+7.528734659789,-0.008030945947677675*t^4+1.59977937799839*t^3-1.580122320466421*t^2-25.69763269829453*t+13.640853838369,-0.0001673867517843972*t^5-0.0237115585173885*t^4-1.019198310492001*t^3-3.375895750923174*t^2+115.6625895621128*t-71.57325236259913,0.0004946043425311105*t^6-0.1033360399958405*t^5+1.790561814571336*t^4-6.16268514160086*t^3-20.4191811282159*t^2+24.8197094373027*t-15.64944202433774,0.1170111332440934*t^6-0.7366261668090966*t^5-11.51457353621907*t^4+22.35771257425971*t^3+646.0601742857928*t^2-1382.237985533848*t+733.5501934769597,-0.0002227260900271722*t^8+0.05097594603231927*t^7-1.938604931663695*t^6+5.951228211466623*t^5+111.8820486562469*t^4+116.0471917307666*t^3-532.5247921363879*t^2-187.5624880296938*t-222.2340430073519,-0.0001850167906096677*t^9-0.00851298779251052*t^8+0.03742012334069892*t^7-32.09604343130417*t^6-52.3950827481199*t^5+60.12557687477466*t^4+162.8460111734316*t^3+142.5221947840652*t^2+109.8763497540474*t+6.425149414225984,-0.0005511966240089935*t^10+0.06383897317372436*t^9-1.143438997964856*t^8+8.602614073650296*t^7+227.9434020757046*t^6-3352.943456047105*t^5-37670.77014018746*t^4+263898.586655251*t^3+279753.212966233*t^2-1510722.485340992*t+7464063.35598223,-0.002563056954951444*t^12+0.3245717226876305*t^11-3.029895361685046*t^10-189.0736329914041*t^9+3673.291365121587*t^8+5017.727224687102*t^7-346633.6554904604*t^6+225030.2809535897*t^5+5565943.221174519*t^4-7019823.778947649*t^3+2791867.740359652*t^2+139462761.8169369*t-62171298.96896121,0.0005366911674154705*t^12-0.08344006737823961*t^11+4.388535144135389*t^10-28.48485644019105*t^9-833.9997823905603*t^8+5803.263115045617*t^7+63819.14736024475*t^6-377573.8608729465*t^5-681697.2045250314*t^4+1637626.099298329*t^3+15247128.3660041*t^2-11944828.80528708*t+5499394.689819423] Nearest singular point at t=0.28937473886752730691962694649133829718 oh_hash.push_restrict Te=0.28937473886752730691962694649133829718 t in [0,0.28937] N=28937,M=24 ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(10.03559456750873%%) ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(20.07118913501745%%) oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.08016] (8017) y0 = 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min(y0) = y0[7991] DtY=PY has min Y = [ 0.2471798856368694 0.009971777567697408 1.050936930088528 0.0005978080729475558 ] at t=7991/100000,X=[2.957685248630401,0.1968152736031447,0.9168267200802176,-0.4744254589657477,-0.2324977112291697,2.384283211156163,0.4583565840083413,5.567113664097584,0.2403122870373378] Step <1> Xp=[2.957685248630401,0.1968152736031447,0.9168267200802176,-0.4744254589657477,-0.2324977112291697,2.384283211156163,0.4583565840083413,5.567113664097584,0.2403122870373378] Yp=[ 0.2471798856368694 0.009971777567697408 1.050936930088528 0.0005978080729475558 ] Gp=-(grad f)(Xp)=[ -0.0008233015110938845 -0.0004811296215284332 0.0006931209636007445 0.001129185670986403 -0.002640258375536957 0.000555443069319643 -0.002228291007614007 0.000316705731993383 -0.001498910533790122 ] |Gp|=0.004154104651675447 Gp=Normalize(-(grad f)(Xp))=[ -0.1981898820873056 -0.1158202938711191 0.166852070835816 0.2718240789940081 -0.6355782044325917 0.1337094550797173 -0.5364070466340528 0.07623922807665624 -0.3608263776372548 ] X(t)=[-0.1981898820873056*t+2.957685248630401,-0.1158202938711191*t+0.1968152736031447,0.166852070835816*t+0.9168267200802176,0.2718240789940081*t-0.4744254589657477,-0.6355782044325917*t-0.2324977112291697,0.1337094550797173*t+2.384283211156163,-0.5364070466340528*t+0.4583565840083413,0.07623922807665624*t+5.567113664097584,-0.3608263776372548*t+0.2403122870373378] Singular locus = [-0.3608263776372548*t+0.2403122870373378,0.07623922807665624*t+5.567113664097584,-0.5364070466340528*t+0.4583565840083413,0.1337094550797173*t+2.384283211156163,0.2718240789940081*t-0.4744254589657477,-0.1158202938711191*t+0.1968152736031447,-0.1981898820873056*t+2.957685248630401,0.2191394755687747*t^2-0.9949975908745204*t-13.32944770062237,0.4778479838706981*t^2+0.03762042880609789*t+0.2791347018416628,0.1574479141040891*t^2-1.942208812183678*t-0.5942808743322048,0.01974007225114809*t^2+0.799832849472089*t-1.448960282205374,0.04571783191991511*t^2+0.943551291524805*t+6.525377665654195,0.05269356983417248*t^2-1.217956987008926*t+8.786638281889358,0.0379306239797654*t^3+0.8003604215676839*t^2-13.61867250135944*t-1.509229053392701,-0.01260392747501978*t^3-1.167614039500192*t^2-1.09945524687413*t+4.23460185696574,0.03268824603652712*t^3-0.03493203733792383*t^2+1.748919915894074*t-1.605334158403101,0.1512481083004379*t^4-1.565396783143568*t^3+1.651216296903757*t^2+14.68321848820555*t+185.5549584068625,0.00516157824819436*t^4+0.4466393795487758*t^3+1.288852879052676*t^2+8.405531415338615*t+5.374657096582068,-0.009681705865929298*t^4-0.25068717148941*t^3-1.017666554434211*t^2+5.076763724144477*t+11.57808196582152,0.00616995314268633*t^5-0.01019691646328625*t^4-3.932101869470209*t^3+10.280632671212*t^2+307.2263142190186*t-62.35273301569116,0.006167814507314174*t^6-0.0196004403432071*t^5-1.568383769490277*t^4+4.8410484573091*t^3+84.79848417252569*t^2-18.77021645676635*t-13.79955991390919,0.007040746337333752*t^6+0.1644369113421075*t^5+1.436366745742071*t^4-13.85569565502241*t^3+136.2880552290291*t^2+467.8636835313116*t+627.2319798052074,0.004933275104968658*t^8-0.08679083299729914*t^7+0.554286165027533*t^6-3.19364157520394*t^5+20.02784449944501*t^4+227.3939078359102*t^3+41.83216904818214*t^2+1740.047206475782*t-240.5588592045794,0.003222066408290509*t^9+0.1267419040473707*t^8-0.2652433706104005*t^7-16.77752181749924*t^6-47.6692597410915*t^5-30.34969576579084*t^4-114.8108437158917*t^3-399.1339768466903*t^2+346.1756562938095*t+16.20082807973345,-0.005323854350624144*t^10-0.2670234283082962*t^9-3.372442301827623*t^8+1.555847088054295*t^7-167.1608051544487*t^6-1079.092253393376*t^5+15725.38594056759*t^4+159329.9121142556*t^3-1836723.513894281*t^2-9583069.995757723*t+7345261.030205077,0.04156118626976538*t^12+0.5415740736297437*t^11-8.224621773554315*t^10+55.69141645483047*t^9+1501.65205931217*t^8-21802.54340655259*t^7-72469.23202377015*t^6+1291983.409428567*t^5-6749476.786972796*t^4-2556765.526049526*t^3-56732085.0500926*t^2-87204066.310736*t-51012356.33212885,0.002793906515144699*t^12+0.03533168974662183*t^11-0.8793605794058974*t^10-9.543437538575688*t^9+125.0188846474798*t^8+755.0082267611213*t^7-2919.628004665855*t^6-127839.288949213*t^5+842126.7454033451*t^4-1013001.029782503*t^3+3841671.712067032*t^2+1977822.114272822*t+4643052.233879304] Nearest singular point at t=0.13745088979817573559072581090499293510 oh_hash.push_restrict Te=0.13745088979817573559072581090499293510 t in [0,0.13745] N=13745,M=24 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(10.12731902510004%%) oooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(20.25463805020007%%) oooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(30.38195707530011%%) oooooooooooooooooooooooooooooooooooooooooooooooooooooooooo(40.50927610040014%%) oooooooooooo monotonely increasing here. break. t = [0 -> 0.05856] (5857) y0 = 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min(y0) = y0[5819] DtY=PY has min Y = [ 0.2470595421306379 0.009030898165053997 1.052317546540518 0.0001312459359426169 ] at t=5819/100000,X=[2.94615257939174,0.1900756907027842,0.9265358420821538,-0.4586080158090864,-0.2694820069451022,2.392063764347252,0.4271430579647058,5.571550024779365,0.2193158001226259] Step <2> Xp=[2.94615257939174,0.1900756907027842,0.9265358420821538,-0.4586080158090864,-0.2694820069451022,2.392063764347252,0.4271430579647058,5.571550024779365,0.2193158001226259] Yp=[ 0.2470595421306379 0.009030898165053997 1.052317546540518 0.0001312459359426169 ] Gp=-(grad f)(Xp)=[ 0.0008340636868201972 -0.0001301023586620963 -0.002038947727849652 -0.001621875214134044 -0.0004948167590765171 -0.0009260727258666021 -0.001624857186449058 0.0001271586878839881 0.0003898046043687905 ] |Gp|=0.003378033164584204 Gp=Normalize(-(grad f)(Xp))=[ 0.2469080811771309 -0.03851423367482253 -0.6035902042722018 -0.4801241240429554 -0.1464807285684014 -0.2741455399478266 -0.4810068780509023 0.03764281808039614 0.1153939542262519 ] X(t)=[0.2469080811771309*t+2.94615257939174,-0.03851423367482253*t+0.1900756907027842,-0.6035902042722018*t+0.9265358420821538,-0.4801241240429554*t-0.4586080158090864,-0.1464807285684014*t-0.2694820069451022,-0.2741455399478266*t+2.392063764347252,-0.4810068780509023*t+0.4271430579647058,0.03764281808039614*t+5.571550024779365,0.1153939542262519*t+0.2193158001226259] Singular locus = [0.1153939542262519*t+0.2193158001226259,0.03764281808039614*t+5.571550024779365,-0.4810068780509023*t+0.4271430579647058,-0.2741455399478266*t+2.392063764347252,-0.4801241240429554*t-0.4586080158090864,-0.03851423367482253*t+0.1900756907027842,0.2469080811771309*t+2.94615257939174,-0.006583379799642132*t^2+1.374149436208689*t-13.38660458749457,0.2519757783299449*t^2+0.5193253851656181*t+0.2829418642315074,-0.05465888832656201*t^2-0.4244948733350387*t-0.7067648744942303,-0.1129049331853552*t^2-1.545216484343868*t-1.402351167307731,0.4394769117666436*t^2-2.430043140908984*t+6.580437719366032,0.06244694674613151*t^2+1.440216521330078*t+8.715943789252746,-0.04330934933533844*t^3-0.4045723517462337*t^2-1.540190118973365*t-2.298982051262314,0.0002807056213556462*t^3+0.04311194451874933*t^2+0.3744352566694151*t+4.166668442732425,0.1164436434325309*t^3-0.7537357385171387*t^2+1.274892265032234*t-1.503676350280308,0.04295095585829195*t^4+0.05494331183525318*t^3+11.76191924125567*t^2-25.81488020395116*t+186.4146593297092,0.02329132346706676*t^4-0.8570299251058825*t^3+7.643874821716404*t^2-24.59653038845103*t+5.868227186684219,0.001286563488710544*t^4+0.9427889184439153*t^3-0.4334510798828842*t^2-19.52125388811065*t+11.87000344518661,0.004051374087737589*t^5+0.1502010981336161*t^4+0.1902005960837579*t^3-14.86785826167715*t^2-37.69984392550216*t-44.44119766421474,-0.003586853912015427*t^6-0.1073972323133887*t^5+2.394075398168073*t^4+5.958029534526218*t^3-25.41211598305852*t^2+21.43948619398081*t-14.60372882441307,0.08656075555673953*t^6-0.8120548974110698*t^5-2.748418722769928*t^4-3.101271835289627*t^3+521.7473320585315*t^2-1150.745667828185*t+654.9157357874441,-0.004544808724058031*t^8+0.2185277035330142*t^7+0.05286918598476542*t^6+2.32508148782652*t^5+29.84778175970352*t^4+102.3379987048119*t^3+368.153597140913*t^2-654.4328731410465*t-139.1188330985257,0.0002304000491718666*t^9-0.005280564792570951*t^8-0.07982203097249423*t^7-7.702142505966239*t^6-13.01177653773108*t^5+33.81891333576737*t^4+130.7619999563258*t^3+167.162635876683*t^2+94.49695115017111*t+34.97028922637,0.00279539817894536*t^10-0.1786272248978625*t^9+2.114838877942463*t^8+16.94502272970123*t^7+58.84959436728722*t^6-4765.030835113983*t^5+82890.67720451171*t^4+298841.1178268669*t^3-1915818.094755397*t^2-3035980.980113709*t+6781434.474824024,0.002119617773774373*t^12+0.436313416900513*t^11+7.147383507137516*t^10-326.4262058879555*t^9+2124.286236067582*t^8+3871.938511065041*t^7-24592.25720640481*t^6-1255057.670750549*t^5+2714312.425770591*t^4+15767753.45770446*t^3-5047848.405480098*t^2+114213825.7907199*t-56279440.40938383,0.001146869500643266*t^12+0.08752197490858292*t^11+0.7886704556173294*t^10-42.870796361754*t^9-207.2731055523932*t^8+2963.481359756192*t^7+41405.0679193294*t^6-67097.00733842135*t^5-755025.9104064648*t^4+416304.2373484959*t^3+14171662.30814433*t^2-4595646.790586869*t+4770959.868051513] Nearest singular point at t=0.25879333138392726071262771140389637319 oh_hash.push_restrict Te=0.2576845034615766 t in [0,0.25768] N=25768,M=24 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.02304] (2305) y0 = 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min(y0) = y0[2281] DtY=PY has min Y = [ 0.2470209976348887 0.008558529681636225 1.052583920729098 0.000170979090634033 ] at t=2281/100000,X=[2.951784552723391,0.1891971810326615,0.9127679495227049,-0.4695596470785062,-0.2728232323637474,2.385810504581042,0.4161712910763647,5.572408657459778,0.2219479362185267] Step <3> Xp=[2.951784552723391,0.1891971810326615,0.9127679495227049,-0.4695596470785062,-0.2728232323637474,2.385810504581042,0.4161712910763647,5.572408657459778,0.2219479362185267] Yp=[ 0.2470209976348887 0.008558529681636225 1.052583920729098 0.000170979090634033 ] Gp=-(grad f)(Xp)=[ -0.000366773456167369 5.352060282149676e-05 0.0002645810314391814 0.0006409381230484202 -0.00077600271381526 0.0003170118059519656 -0.001050262086363 7.897263663383947e-05 0.0002177272413527117 ] |Gp|=0.001574027000666343 Gp=Normalize(-(grad f)(Xp))=[ -0.233015987662283 0.03400234100103716 0.1680917997767348 0.4071963967435676 -0.4930047028969322 0.2014017585579935 -0.6672452797305163 0.05017235193577203 0.1383249723546926 ] X(t)=[-0.233015987662283*t+2.951784552723391,0.03400234100103716*t+0.1891971810326615,0.1680917997767348*t+0.9127679495227049,0.4071963967435676*t-0.4695596470785062,-0.4930047028969322*t-0.2728232323637474,0.2014017585579935*t+2.385810504581042,-0.6672452797305163*t+0.4161712910763647,0.05017235193577203*t+5.572408657459778,0.1383249723546926*t+0.2219479362185267] Singular locus = [0.1383249723546926*t+0.2219479362185267,0.05017235193577203*t+5.572408657459778,-0.6672452797305163*t+0.4161712910763647,0.2014017585579935*t+2.385810504581042,0.4071963967435676*t-0.4695596470785062,0.03400234100103716*t+0.1891971810326615,-0.233015987662283*t+2.951784552723391,-0.07829966180980664*t^2-1.389154269732524*t-13.35526366416148,0.4088625425994373*t^2-0.113399719463358*t+0.2949187782818947,0.1010323470312107*t^2-1.452745774634944*t-0.7164760413614293,-0.1116465845827418*t^2+1.208819210158858*t-1.437656299312022,0.06881752150243423*t^2+1.267870477245094*t+6.52523709344513,0.05545260969978004*t^2-1.362759691706408*t+8.748827619007136,-0.01089037987806633*t^3+0.4293383358786164*t^2-7.154230517885749*t-2.334324799286247,-0.00454348896337913*t^3-0.9839239948841005*t^2+1.494277951415011*t+4.175231745245052,0.02156617973328057*t^3+0.4506142403107793*t^2+1.559448699193579*t-1.474986841532295,0.1376887786473804*t^4-0.5974065437249304*t^3+12.64564540043754*t^2+22.38312308057618*t+185.8319422566586,-0.03278989446887068*t^4+0.1968680253515579*t^3+1.200236060779124*t^2+11.94668960639101*t+5.311147241895662,-0.01333845977059364*t^4-0.3071503379716172*t^3-0.9835539981853945*t^2+7.156839843196437*t+11.42450931041624,0.01447672798093515*t^5-0.1628866211378605*t^4-1.378056247401075*t^3+17.5031294365996*t^2+24.61808051723797*t-45.3088644948467,0.01464426919564926*t^6-0.005909675175664888*t^5+1.675025072325284*t^4-2.068515692398931*t^3+38.72967725290489*t^2-3.07419180105027*t-14.12784461211465,0.01310660239514261*t^6+0.321453889068513*t^5+2.078066549824805*t^4+5.498654566968779*t^3+87.86358067217913*t^2+442.8641774820787*t+628.9386526515658,0.0009685475139972583*t^8+0.0460009342036336*t^7-0.01231324658525461*t^6+4.682119582774769*t^5-20.75392301964578*t^4+189.6141484660691*t^3-19.34109527262236*t^2+1265.32546754739*t-153.8536754170151,-0.001623720250361231*t^9-0.02578060338793249*t^8-0.494967140781314*t^7-8.547892304539559*t^6-29.1457873041454*t^5+55.00051975185772*t^4-28.52086740063874*t^3+246.2693760526524*t^2+179.1118862352638*t+37.21429970064419,-0.006017765946459263*t^10-0.08217499889554948*t^9-1.660505336200784*t^8-23.43540986794537*t^7-233.3194350813684*t^6-1100.493245160603*t^5-21390.32376045399*t^4-108695.1811268691*t^3-855556.9550518602*t^2-9682384.487506231*t+6711190.525027032,-0.03877270475073556*t^12-1.441440290202547*t^11-17.23705900968785*t^10-351.0588533469817*t^9-2014.900179574327*t^8-18225.4676361924*t^7-83000.69942462734*t^6-93415.03562390374*t^5-5496159.978008046*t^4+109526.8225380866*t^3-55313783.36046659*t^2-109022380.9049689*t-53676661.56092995,0.007759134307547101*t^12-0.00488651465586026*t^11+2.158892035911009*t^10-1.593009395883648*t^9+245.2283784580084*t^8-63.45045748023204*t^7+14879.39883464259*t^6-1359.976081260903*t^5+438742.2214863882*t^4-413908.7002554654*t^3+4538189.734976034*t^2+1170501.894729621*t+4673511.361267198] Nearest singular point at t=0.12155237174528036010008381276982493900 oh_hash.push_restrict Te=0.12155237174528036010008381276982493900 t in [0,0.12155] N=12155,M=24 ooooooooooooooooooooooooooooooooooooooooooooooooooo(10.06993006993007%%) ooooooooooooooooooooooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.024] (2401) y0 = 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min(y0) = y0[2365] DtY=PY has min Y = [ 0.2470023970517539 0.008076109282335358 1.053120567570349 0.0001404523528747572 ] at t=473/20000,X=[2.946273724615178,0.1900013363973361,0.9167433205874247,-0.4599294522955208,-0.2844827935872599,2.390573656170939,0.400390940210738,5.57359523358306,0.2252193218147152] Step <4> Xp=[2.946273724615178,0.1900013363973361,0.9167433205874247,-0.4599294522955208,-0.2844827935872599,2.390573656170939,0.400390940210738,5.57359523358306,0.2252193218147152] Yp=[ 0.2470023970517539 0.008076109282335358 1.053120567570349 0.0001404523528747572 ] Gp=-(grad f)(Xp)=[ 0.0005720108673715749 0.0001081608529417215 -0.001007327021733054 -0.0006620126977421089 -0.0003867248392349017 -0.0005543745765790205 -0.0006573701317968417 8.673098678413371e-06 0.0003643847955246834 ] |Gp|=0.001677420045084984 Gp=Normalize(-(grad f)(Xp))=[ 0.3410063383036506 0.06448048195122273 -0.600521631230429 -0.39466125356131 -0.2305474054444776 -0.3304924000421933 -0.391893571155898 0.005170499007583972 0.2172293079436894 ] X(t)=[0.3410063383036506*t+2.946273724615178,0.06448048195122273*t+0.1900013363973361,-0.600521631230429*t+0.9167433205874247,-0.39466125356131*t-0.4599294522955208,-0.2305474054444776*t-0.2844827935872599,-0.3304924000421933*t+2.390573656170939,-0.391893571155898*t+0.400390940210738,0.005170499007583972*t+5.57359523358306,0.2172293079436894*t+0.2252193218147152] Singular locus = [0.2172293079436894*t+0.2252193218147152,0.005170499007583972*t+5.57359523358306,-0.391893571155898*t+0.400390940210738,-0.3304924000421933*t+2.390573656170939,-0.39466125356131*t-0.4599294522955208,0.06448048195122273*t+0.1900013363973361,0.3410063383036506*t+2.946273724615178,-0.04837284270648485*t^2+1.715948676220611*t-13.38816095740325,0.208909611219765*t^2+0.4942062082957133*t+0.2924655609360693,-0.05317017869892145*t^2-0.6716235603423776*t-0.7507769692666234,-0.1494477967629348*t^2-1.381766842671401*t-1.40913017143857,0.4698514560613045*t^2-2.68118123880867*t+6.555260721420147,0.1204430553159258*t^2+2.033898784427114*t+8.716629368190569,-0.07624057512520845*t^3-0.3944207074900842*t^2-2.142061839366872*t-2.503282356500571,-0.01556666745055272*t^3+0.1270218653169591*t^2+2.481882095044833*t+4.210021027866222,0.1233047906611848*t^3-0.8867975977394674*t^2+0.8640994817246853*t-1.437853555836009,0.05720845528342455*t^4-0.134571200609249*t^3+10.85798023339994*t^2-36.93242587732927*t+186.3683682521085,0.04035089610641465*t^4-1.131651061837427*t^3+8.133633308960933*t^2-23.92583963499809*t+5.594360364028606,0.020013560179498*t^4+0.8783602535617849*t^3-0.9110449113574186*t^2-17.33190431323257*t+11.59321438167622,0.007069166407487006*t^5+0.1900874530228737*t^4-0.2114693904954725*t^3-19.21623188302192*t^2-73.54534609414219*t-44.71687527624687,-0.006593344375015606*t^6+0.1581544908669631*t^5+1.841499941063408*t^4-2.071337824049542*t^3-13.94505557785207*t^2+7.180932884024577*t-14.178913706606,0.04552424049854487*t^6-0.7365778137337385*t^5-0.02510925522367019*t^4-6.436630550147029*t^3+510.3603240817175*t^2-1115.001996990692*t+639.4616079151809,-0.001126791585185123*t^8+0.3472285078445533*t^7-0.5210389380376483*t^6+5.244446115413693*t^5+24.90741547035381*t^4+147.1111897659445*t^3+160.5474305305542*t^2-826.7426304446692*t-123.9370442657135,0.0007252845034227799*t^9-0.01294990162590083*t^8-0.1255115157606724*t^7-4.759061594400746*t^6-9.8338179783477*t^5+27.06073041962163*t^4+113.4506816048145*t^3+155.4159212112437*t^2+115.2573973104095*t+41.58767952912882,0.01549651442138813*t^10-0.3858609634199689*t^9+3.669383257592635*t^8+18.73288450879843*t^7+298.3610115146911*t^6-8414.738173817857*t^5+80820.52010810009*t^4+65487.34510638474*t^3-1060989.24404325*t^2-1211049.827487727*t+6481722.155125181,0.01687708009441717*t^12+0.5315155544744147*t^11-5.43924097609943*t^10-134.4906610651403*t^9+1051.853510027402*t^8+978.8994731306194*t^7-94321.12688167147*t^6-987940.9291893488*t^5+1278121.427409066*t^4+12534919.27826764*t^3+28676551.2193248*t^2+88394818.70542714*t-56285979.38424141,0.003762468513550539*t^12+0.02243110144880184*t^11-0.2764899281356953*t^10-18.83231016315676*t^9+37.51755901367002*t^8+2603.572078357733*t^7+22366.87659628387*t^6-46350.28305751883*t^5-984489.4792350269*t^4+223104.1804730885*t^3+13883855.51691301*t^2-2415963.167054831*t+4703726.704780155] Nearest singular point at t=0.25517840165243637615861334119841333847 oh_hash.push_restrict Te=0.2426945392271822 t in [0,0.24269] N=24269,M=24 oooooooooooooooooooooooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.012] (1201) y0 = 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min(y0) = y0[1170] DtY=PY has min Y = [ 0.2469925834930493 0.007886955455787631 1.05317771562284 0.0001635096766934318 ] at t=117/10000,X=[2.950263498773331,0.1907557580361654,0.9097172175020287,-0.4645469889621882,-0.2871801982309603,2.386706895090445,0.395805785428214,5.573655728421448,0.2277609047176564] Step <5> Xp=[2.950263498773331,0.1907557580361654,0.9097172175020287,-0.4645469889621882,-0.2871801982309603,2.386706895090445,0.395805785428214,5.573655728421448,0.2277609047176564] Yp=[ 0.2469925834930493 0.007886955455787631 1.05317771562284 0.0001635096766934318 ] Gp=-(grad f)(Xp)=[ -0.0001744338702611174 0.0001601624455627672 8.93557178638562e-05 0.0004160567809017822 -0.000494582740035375 0.0002058300129927429 -0.0004139127697741739 -7.036729403747666e-06 0.0002700697930688911 ] |Gp|=0.0008766161896593246 Gp=Normalize(-(grad f)(Xp))=[ -0.198985453746761 0.1827053246929085 0.1019325434755912 0.4746168115643318 -0.5641953067597149 0.2348006064920312 -0.4721710306708241 -0.008027149722710823 0.3080821415970507 ] X(t)=[-0.198985453746761*t+2.950263498773331,0.1827053246929085*t+0.1907557580361654,0.1019325434755912*t+0.9097172175020287,0.4746168115643318*t-0.4645469889621882,-0.5641953067597149*t-0.2871801982309603,0.2348006064920312*t+2.386706895090445,-0.4721710306708241*t+0.395805785428214,-0.008027149722710823*t+5.573655728421448,0.3080821415970507*t+0.2277609047176564] Singular locus = [0.3080821415970507*t+0.2277609047176564,-0.008027149722710823*t+5.573655728421448,-0.4721710306708241*t+0.395805785428214,0.2348006064920312*t+2.386706895090445,0.4746168115643318*t-0.4645469889621882,0.1827053246929085*t+0.1907557580361654,-0.198985453746761*t+2.950263498773331,-0.1719337187622431*t^2-1.506516015820331*t-13.36809097964991,0.5435774619891811*t^2-0.1169121813736244*t+0.298276371209809,0.02555164045580063*t^2-1.613040818873549*t-0.7586422433883914,-0.1975233283167183*t^2+1.332589893663203*t-1.425317301406724,0.06552156822842897*t^2+1.306260032618937*t+6.523955218891906,0.07297644647394547*t^2-1.104414856533757*t+8.740442471418207,-0.02950396620809375*t^3+0.08237407170387939*t^2-6.72286046004155*t-2.528398594379708,0.03052522745487861*t^3-1.327136573626948*t^2+4.234049920518048*t+4.239076411469611,-0.02316263363016309*t^3+0.784188203766543*t^2+0.8714720031480891*t-1.427864788136429,0.1686664858684888*t^4-0.4473078580957481*t^3+16.15213304546753*t^2+24.62949764758777*t+185.9377450037989,-0.06189367886916306*t^4+0.06865338839115734*t^3+0.2420863778063542*t^2+11.68051598558259*t+5.315539641651874,-0.02010068873133869*t^4-0.3637755105298174*t^3-1.049947314383475*t^2+6.867942773011756*t+11.39030779544172,0.02230876064520841*t^5-0.2909724872378597*t^4-0.3068774006770465*t^3+22.05978138427287*t^2-39.98052207498772*t-45.57998667065932,0.00830184513126335*t^6+0.05316566206293987*t^5+0.9531884596259411*t^4+7.78503053392479*t^3+22.90514144124866*t^2-14.19574026902906*t-14.09680901346026,0.005874235705336822*t^6+0.09411196454035652*t^5+1.621973277055006*t^4+2.488282404142889*t^3+54.28198418367694*t^2+331.3367042282785*t+626.4859374655304,0.002696116641761187*t^8+0.03407992790934726*t^7+0.3340179985571834*t^6+7.461657588405519*t^5+9.59551296889968*t^4+171.5777180505367*t^3+230.4364520773141*t^2+979.0368517578669*t-133.5877196210712,-0.004781798821961102*t^9-0.1343590589338496*t^8-0.9520604442715295*t^7-12.1144719071116*t^6-43.62323899673554*t^5+114.9991463522837*t^4+29.90000671070233*t^3+420.1077793990743*t^2+183.1710359760337*t+42.95764817212108,-0.008763494428269722*t^10-0.1060944039523807*t^9+0.09230657552245632*t^8+10.37894208827063*t^7+30.3283677999541*t^6-1178.27655776533*t^5-19404.63237234267*t^4-156055.5370369936*t^3-1154766.022453007*t^2-6338714.387162594*t+6467407.739723979,-0.0382200914122121*t^12-0.8567591469885009*t^11-13.98666462582419*t^10-97.03793447265421*t^9-727.5045293792183*t^8-12737.76431941556*t^7-8279.111623287707*t^6-538894.2159190528*t^5-3013903.659027362*t^4+4778040.663966944*t^3-72128062.49503316*t^2-129472725.7012057*t-55247814.37246805,0.007299133120220216*t^12-0.003402416440040474*t^11+1.198674080995048*t^10+10.05861230453126*t^9+41.66182504837043*t^8+1100.656772444976*t^7+2473.456181837746*t^6+17296.94311434898*t^5+210159.9323506993*t^4-493823.782736334*t^3+4892902.78083693*t^2+599799.6286748211*t+4677360.835575553] Nearest singular point at t=0.13194460343056248972094776037316927319 oh_hash.push_restrict Te=0.13194460343056248972094776037316927319 t in [0,0.13194] N=13194,M=24 ooooooooooooooooooooooooooooooooooooooooooooooooooooooo(10.00454752160073%%) oooo monotonely increasing here. break. t = [0 -> 0.01416] (1417) y0 = 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min(y0) = y0[1386] DtY=PY has min Y = [ 0.2469865105461873 0.007718156402298208 1.053164415019468 0.0001616775884777813 ] at t=693/50000,X=[2.947505560384401,0.1932880538364091,0.9111300025546004,-0.4579687999539065,-0.2949999451826499,2.389961231496425,0.3892614949431163,5.573544472126291,0.2320309232001915] Step <6> Xp=[2.947505560384401,0.1932880538364091,0.9111300025546004,-0.4579687999539065,-0.2949999451826499,2.389961231496425,0.3892614949431163,5.573544472126291,0.2320309232001915] Yp=[ 0.2469865105461873 0.007718156402298208 1.053164415019468 0.0001616775884777813 ] Gp=-(grad f)(Xp)=[ 0.0004095689323616921 9.006280212406402e-05 -0.0006546914733897582 -0.0003390895721102818 -0.0002483683209933393 -0.0003675451446203855 -0.0003157560563824893 -1.306800426870147e-05 0.0002911527602897787 ] |Gp|=0.00104922806283226 Gp=Normalize(-(grad f)(Xp))=[ 0.3903526286326272 0.08583720290605906 -0.6239744213688873 -0.3231800445700544 -0.2367152860198001 -0.3503005282076074 -0.3009412991968068 -0.01245487490434256 0.2774923494743822 ] X(t)=[0.3903526286326272*t+2.947505560384401,0.08583720290605906*t+0.1932880538364091,-0.6239744213688873*t+0.9111300025546004,-0.3231800445700544*t-0.4579687999539065,-0.2367152860198001*t-0.2949999451826499,-0.3503005282076074*t+2.389961231496425,-0.3009412991968068*t+0.3892614949431163,-0.01245487490434256*t+5.573544472126291,0.2774923494743822*t+0.2320309232001915] Singular locus = [0.2774923494743822*t+0.2320309232001915,-0.01245487490434256*t+5.573544472126291,-0.3009412991968068*t+0.3892614949431163,-0.3503005282076074*t+2.389961231496425,-0.3231800445700544*t-0.4579687999539065,0.08583720290605906*t+0.1932880538364091,0.3903526286326272*t+2.947505560384401,-0.07004963013188559*t^2+1.845396746504628*t-13.38900432002778,0.1604794678437381*t^2+0.4356747471610684*t+0.2967603893889877,-0.06466156307440418*t^2-0.7110960231598754*t-0.7809940806780677,-0.1464731579565777*t^2-1.202420510369267*t-1.406885549632912,0.5120545385851664*t^2-2.811452995849482*t+6.542072569611053,0.1597432000831377*t^2+2.334315698603617*t+8.725149300252827,-0.09309717509966166*t^3-0.4552764264432271*t^2-1.904123935454379*t-2.621561694883983,-0.03754402045309416*t^3-0.005215247130961997*t^2+2.912761890908168*t+4.297505482236485,0.1159680278679702*t^3-0.7523725532540047*t^2+0.6865963279467157*t-1.415635605603051,0.04748840120449728*t^4-0.2726304674226454*t^3+9.652470356763903*t^2-42.03336568400356*t+186.2822114747584,0.06561349676139008*t^4-1.381937864802744*t^3+8.594093880791037*t^2-23.31863258522585*t+5.477478278414054,0.03889373575943877*t^4+0.8156505817386599*t^3-1.290504969117485*t^2-16.23862373176663*t+11.48529481852232,0.005518454781819947*t^5+0.162877372695417*t^4-0.3227082350442841*t^3-21.73893341751664*t^2-103.6598504040793*t-46.12987985922599,-0.006367056788286973*t^6+0.303377271189705*t^5+0.98864921664612*t^4-4.133005640091512*t^3-9.483274843306607*t^2+1.932803138896079*t-14.28914114223079,0.02623303122304338*t^6-0.429517170590786*t^5+0.4115235574682354*t^4-5.980739756016108*t^3+534.9650133162572*t^2-1126.432119563196*t+631.0886984185386,0.004853118168591248*t^8+0.399127429854353*t^7-0.983975320772832*t^6+6.079049910741464*t^5+17.92121606138829*t^4+136.5689221426699*t^3+112.6435786677403*t^2-950.8601848989008*t-119.9735449217706,0.0009926945363610705*t^9-0.01428004091233146*t^8-0.1080472513258216*t^7-2.38462580511413*t^6-7.285281526485867*t^5+14.79031555321074*t^4+83.37105585510504*t^3+126.7735486285172*t^2+113.8598402270893*t+45.57718509724007,0.02418424538479679*t^10-0.4143647832206803*t^9+3.449816743599095*t^8+10.85836330407714*t^7+349.9883455399028*t^6-9472.223197868605*t^5+85850.33868366564*t^4-34957.31390025959*t^3-917842.1025861021*t^2+89889.60051929095*t+6379330.912012279,0.03652376642484286*t^12+0.5115334506463892*t^11-9.60374139550847*t^10-84.31047553804441*t^9+460.6489151412173*t^8+6350.180992522294*t^7-160093.8488362783*t^6-714655.673941298*t^5+831668.870158944*t^4+10557694.46203336*t^3+38579250.29627383*t^2+79042136.80483091*t-57056149.51260092,0.007249482550169823*t^12-0.042068453634456*t^11+0.3860936833181087*t^10-8.723304834712009*t^9+134.7054686413536*t^8+1362.893494766852*t^7+19500.95326631511*t^6-17993.06856785887*t^5-1082160.980449911*t^4-913.5687634362407*t^3+13752271.85039463*t^2-1411830.530539365*t+4686612.676054204] Nearest singular point at t=0.25851621320132735241221474313822147242 oh_hash.push_restrict Te=0.2245765174911827 t in [0,0.22458] N=22458,M=24 oooooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00768] (769) y0 = 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min(y0) = y0[742] DtY=PY has min Y = [ 0.2469826172468521 0.007623312999498162 1.053169859705853 0.000179788733802878 ] at t=371/50000,X=[2.950401976888855,0.1939249658819721,0.9065001123480433,-0.4603667958846163,-0.2967563726049168,2.387362001577124,0.387028510503076,5.573452056954501,0.2340899164332914] Step <7> Xp=[2.950401976888855,0.1939249658819721,0.9065001123480433,-0.4603667958846163,-0.2967563726049168,2.387362001577124,0.387028510503076,5.573452056954501,0.2340899164332914] Yp=[ 0.2469826172468521 0.007623312999498162 1.053169859705853 0.000179788733802878 ] Gp=-(grad f)(Xp)=[ -0.0001014725138176842 0.0001154013629372702 1.281975856745783e-05 0.0003151578176826845 -0.0003167662885339792 0.0001495343626827222 -0.0001854053491357824 -2.015644307198916e-05 0.0002198976697014452 ] |Gp|=0.000573533573458975 Gp=Normalize(-(grad f)(Xp))=[ -0.1769251505290344 0.2012111727675955 0.02235223735925693 0.5495019511795465 -0.5523064441085201 0.2607246891945348 -0.3232685194305273 -0.03514431239033813 0.3834085394081547 ] X(t)=[-0.1769251505290344*t+2.950401976888855,0.2012111727675955*t+0.1939249658819721,0.02235223735925693*t+0.9065001123480433,0.5495019511795465*t-0.4603667958846163,-0.5523064441085201*t-0.2967563726049168,0.2607246891945348*t+2.387362001577124,-0.3232685194305273*t+0.387028510503076,-0.03514431239033813*t+5.573452056954501,0.3834085394081547*t+0.2340899164332914] Singular locus = [0.3834085394081547*t+0.2340899164332914,-0.03514431239033813*t+5.573452056954501,-0.3232685194305273*t+0.387028510503076,0.2607246891945348*t+2.387362001577124,0.5495019511795465*t-0.4603667958846163,0.2012111727675955*t+0.1939249658819721,-0.1769251505290344*t+2.950401976888855,-0.2025960171164328*t^2-1.612302656045299*t-13.37531533284917,0.6069948025539266*t^2-0.178143991353816*t+0.3000019314346962,-0.0128490312728629*t^2-1.590953562884023*t-0.7862739732027952,-0.2083509427746152*t^2+1.535885401636641*t-1.415815574104626,0.06847698607055136*t^2+1.28541304306687*t+6.521239780261348,0.07178844493623265*t^2-0.9659608881363878*t+8.742478717621987,-0.02194384114067729*t^3-0.08342505500942821*t^2-6.011860038807624*t-2.635715398398015,0.06533138016848336*t^3-1.459416923269063*t^2+4.461779459167548*t+4.319117872996865,-0.03321747688099266*t^3+0.8861415557184291*t^2+0.6684071484659164*t-1.410582436398843,0.1671978260317566*t^4-0.2441312256700637*t^3+18.98683746667922*t^2+26.17487140573206*t+185.9708552204215,-0.0571052911104929*t^4+0.04144590855898046*t^3+0.04489461322469701*t^2+11.69964645866256*t+5.304926620153735,-0.01717811594292845*t^4-0.3069380330720381*t^3-0.5993570496055125*t^2+6.52743491618785*t+11.36473351320107,0.01836138514843998*t^5-0.3651084189961522*t^4+0.6082651050872298*t^3+24.26701656025168*t^2-77.41163624222912*t-46.90023294797658,0.002071128804962855*t^6+0.05330452149603901*t^5+0.5708829778871032*t^4+8.901083438355617*t^3+14.81765372502659*t^2-17.04949921011759*t-14.27532354331886,0.002685290620194908*t^6+0.005569560941505954*t^5+0.9194739066866047*t^4+0.268993039267575*t^3+31.64385582696815*t^2+219.7790928658522*t+622.760022897134,0.0002066506234904576*t^8+0.02859297010626814*t^7+0.1043807868227854*t^6+7.13342311244306*t^5+15.58900676005387*t^4+145.0899413772628*t^3+277.3024758137079*t^2+824.4771830667989*t-127.022669898407,-0.005342915803047976*t^9-0.1984470202332128*t^8-1.626367721456675*t^7-12.77774324761508*t^6-49.59922622648406*t^5+158.8199195733563*t^4+40.02150857195962*t^3+493.6521872200922*t^2+178.3362843633203*t+46.42903891021376,-0.005419560761706081*t^10-0.07964652364060416*t^9+0.9691232853502246*t^8+21.9518654097471*t^7+191.6570254036682*t^6-40.58298909019088*t^5-18144.75005835561*t^4-107356.9512127143*t^3-1346138.145295875*t^2-4442457.092726016*t+6379947.345745508,-0.02291172797490214*t^12-0.4148524474064644*t^11-7.788949678211827*t^10+102.959387806753*t^9-1357.82115596631*t^8-1803.19200815903*t^7-15223.31172061183*t^6-429476.1413498017*t^5-392527.2446872713*t^4+6324208.354725037*t^3-73640616.00136703*t^2-134199589.2692139*t-56467528.50735485,0.008202942322318359*t^12-0.02769380402041881*t^11+1.583833604756789*t^10+4.288722600041297*t^9+55.57088482087161*t^8+785.1675369003013*t^7-889.6791968208629*t^6+11734.62606919264*t^5+103216.2986662882*t^4-384357.5662196808*t^3+4988178.49941924*t^2+263188.6732615778*t+4676894.040443656] Nearest singular point at t=0.14630482131089434429741904095968935355 oh_hash.push_restrict Te=0.14630482131089434429741904095968935355 t in [0,0.1463] N=14630,M=24 oooooooooooooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.009599999999999999] (961) y0 = 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min(y0) = y0[930] DtY=PY has min Y = [ 0.246979951980295 0.007558994212229432 1.053061257003326 0.0001860035952231699 ] at t=93/10000,X=[2.948756572988935,0.1957962297887107,0.9067079881554844,-0.4552564277386466,-0.3018928225351261,2.389786741186633,0.3840221132723721,5.573125214849271,0.2376556158497872] Step <8> Xp=[2.948756572988935,0.1957962297887107,0.9067079881554844,-0.4552564277386466,-0.3018928225351261,2.389786741186633,0.3840221132723721,5.573125214849271,0.2376556158497872] Yp=[ 0.246979951980295 0.007558994212229432 1.053061257003326 0.0001860035952231699 ] Gp=-(grad f)(Xp)=[ 0.0003023670910553807 5.059214196248768e-05 -0.0004793604436635697 -0.000187002640080083 -0.0001601007803879086 -0.0002562244312577415 -0.0001723310335707828 -1.379039111365499e-05 0.0002052595936524142 ] |Gp|=0.0007225266256596136 Gp=Normalize(-(grad f)(Xp))=[ 0.4184857420020222 0.0700211454716991 -0.6634502129605936 -0.2588176455218704 -0.2215846097598803 -0.3546228224099389 -0.238511672027944 -0.01908634315180479 0.284085854227209 ] X(t)=[0.4184857420020222*t+2.948756572988935,0.0700211454716991*t+0.1957962297887107,-0.6634502129605936*t+0.9067079881554844,-0.2588176455218704*t-0.4552564277386466,-0.2215846097598803*t-0.3018928225351261,-0.3546228224099389*t+2.389786741186633,-0.238511672027944*t+0.3840221132723721,-0.01908634315180479*t+5.573125214849271,0.284085854227209*t+0.2376556158497872] Singular locus = [0.284085854227209*t+0.2376556158497872,-0.01908634315180479*t+5.573125214849271,-0.238511672027944*t+0.3840221132723721,-0.3546228224099389*t+2.389786741186633,-0.2588176455218704*t-0.4552564277386466,0.0700211454716991*t+0.1957962297887107,0.4184857420020222*t+2.948756572988935,-0.06971750602521595*t^2+1.883545375865493*t-13.39032727007991,0.116086312915923*t^2+0.3694464000135375*t+0.2983976912955786,-0.07460729182386248*t^2-0.6971838205967451*t-0.8010709526503315,-0.1238271026237225*t^2-1.018232869815314*t-1.401549860142446,0.565923531251448*t^2-2.898057053904563*t+6.533200044136395,0.1800332770721519*t^2+2.49544491743892*t+8.733501490344921,-0.0895167926727567*t^3-0.5106606752456634*t^2-1.777861097501531*t-2.691632929842616,-0.05445459744600976*t^3-0.1479912644488623*t^2+2.558468248213686*t+4.360486249547183,0.1015421046272315*t^3-0.5941120652124581*t^2+0.7002104705081971*t-1.404289634253666,0.03215413522179123*t^4-0.2894609832109844*t^3+8.255049273296731*t^2-44.62043969687983*t+186.2159235009493,0.09705428786381733*t^4-1.653887120817147*t^3+9.139410032364674*t^2-22.84657043505803*t+5.413737248064524,0.05397743114557079*t^4+0.759287627981185*t^3-1.595168183303583*t^2-15.76818739505414*t+11.42538657251414,0.003393399984738954*t^5+0.1131651025758335*t^4-0.4111461518586628*t^3-21.80278304381744*t^2-111.1832389471953*t-47.6180618242346,-0.00540220349500583*t^6+0.3387023313698975*t^5+0.7528369479623465*t^4-4.364356429605357*t^3-8.39516107377783*t^2+0.5988234483913022*t-14.43259514317931,0.01604388657890306*t^6-0.2414302138977402*t^5+0.5158946573540699*t^4-6.863778934151963*t^3+573.9423140361731*t^2-1159.467560677376*t+624.8067055611219,0.009569325933803765*t^8+0.4256013649427231*t^7-1.292112546134287*t^6+5.292087360531393*t^5+14.38626965087566*t^4+108.6181638784788*t^3+142.152325661987*t^2-1002.009352006573*t-119.3309313835323,0.0008476966976039911*t^9-0.009355612311042497*t^8-0.06805075329443036*t^7-1.029805846903674*t^6-4.778494286393427*t^5+4.87212710655413*t^4+55.7768543126566*t^3+102.9243752790421*t^2+110.3718655683341*t+48.13029570864259,0.02266648396027941*t^10-0.341327838838764*t^9+2.670804231345187*t^8+5.24065222605918*t^7+330.4095813756566*t^6-9141.201487354845*t^5+85829.48049093658*t^4-44629.68024422527*t^3-1001254.456489808*t^2+724479.1131754031*t+6338515.980805919,0.0406609208370861*t^12+0.5325331654471006*t^11-9.890451808148262*t^10-129.5624840719484*t^9+659.2572883556344*t^8+10540.47165120449*t^7-206157.5736357517*t^6-655540.8624707446*t^5+1173677.569548489*t^4+9249988.473594166*t^3+38392067.74186705*t^2+78068524.92132518*t-57721948.7804814,0.009064238499562822*t^12-0.05311823407721308*t^11+0.4379986010419581*t^10-5.62082764448641*t^9+267.4563113605724*t^8+389.056442319476*t^7+19973.90949129689*t^6+3519.103030773324*t^5-1155097.667536369*t^4-159037.4714507035*t^3+13686871.69400747*t^2-873595.233257736*t+4679772.814275635] Nearest singular point at t=0.26341534813757441682544828105279387361 oh_hash.push_restrict Te=0.2045488651663829 t in [0,0.20455] N=20455,M=24 ooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00552] (553) y0 = 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min(y0) = y0[515] DtY=PY has min Y = [ 0.2469780909043509 0.007503756635677568 1.053060093956299 0.0001991821739928014 ] at t=103/20000,X=[2.950911774560245,0.1961568386878899,0.9032912195587373,-0.4565893386130842,-0.3030339832753894,2.387960433651222,0.3827937781614282,5.573026920182039,0.2391186579990573] Step <9> Xp=[2.950911774560245,0.1961568386878899,0.9032912195587373,-0.4565893386130842,-0.3030339832753894,2.387960433651222,0.3827937781614282,5.573026920182039,0.2391186579990573] Yp=[ 0.2469780909043509 0.007503756635677568 1.053060093956299 0.0001991821739928014 ] Gp=-(grad f)(Xp)=[ -6.563692395215306e-05 6.988900961601367e-05 -2.596248755653424e-05 0.0002548365588525914 -0.0002084989319123231 0.0001151586446414728 -9.133949134707345e-05 -1.833810231857691e-05 0.0001549277037855195 ] |Gp|=0.0004052449901721727 Gp=Normalize(-(grad f)(Xp))=[ -0.1619685018789906 0.1724611316880699 -0.06406615303375816 0.628845673685741 -0.5145009487316304 0.2841704337727812 -0.2253932647218338 -0.04525189148121429 0.3823062777893855 ] X(t)=[-0.1619685018789906*t+2.950911774560245,0.1724611316880699*t+0.1961568386878899,-0.06406615303375816*t+0.9032912195587373,0.628845673685741*t-0.4565893386130842,-0.5145009487316304*t-0.3030339832753894,0.2841704337727812*t+2.387960433651222,-0.2253932647218338*t+0.3827937781614282,-0.04525189148121429*t+5.573026920182039,0.3823062777893855*t+0.2391186579990573] Singular locus = [0.3823062777893855*t+0.2391186579990573,-0.04525189148121429*t+5.573026920182039,-0.2253932647218338*t+0.3827937781614282,0.2841704337727812*t+2.387960433651222,0.628845673685741*t-0.4565893386130842,0.1724611316880699*t+0.1961568386878899,-0.1619685018789906*t+2.950911774560245,-0.1838376929974416*t^2-1.714508321520153*t-13.38062886047676,0.6601581075590213*t^2-0.2624259166895178*t+0.3003034191548827,-0.02511848865960808*t^2-1.513773412663879*t-0.804663428098302,-0.1905846075528067*t^2+1.776436730708869*t-1.406797043626324,0.08485730739515553*t^2+1.241434717513213*t+6.518290060015643,0.05597663754405435*t^2-0.8882506578282576*t+8.746357806602322,-0.001057372241435874*t^3-0.1284809156790371*t^2-5.583019704332504*t-2.700802470719686,0.08818986668947923*t^3-1.540886725497186*t^2+3.72395436494069*t+4.37365842848917,-0.04441278925221012*t^3+0.8508772118231021*t^2+0.72952535837619*t-1.400699293798074,0.1473508259808399*t^4-0.1782412344242811*t^3+21.45273725151865*t^2+27.30548317822991*t+185.9863471415397,-0.03598448511559656*t^4+0.1003192286497045*t^3+0.1388133329475528*t^2+11.84943074765811*t+5.296319584488939,-0.003608447756269494*t^4-0.19581497861571*t^3+0.0555385502099254*t^2+6.134269037423675*t+11.3441382033312,0.01167919924339604*t^5-0.3612752839774729*t^4+1.435761001319578*t^3+23.44212193537202*t^2-83.65406709138819*t-48.19123382520515,1.171525897607445e-05*t^6+0.00303528312522577*t^5+0.2456070712602637*t^4+8.413120545572241*t^3+13.11312157481594*t^2-16.31955700341079*t-14.42973445868012,0.0006158699321355274*t^6-0.01296738206469083*t^5+0.2347918639762496*t^4+0.3871839972334357*t^3+17.96936149319208*t^2+111.4691764150178*t+618.8506690714901,-0.0001108527657651585*t^8-0.01076869931915166*t^7-0.3970069287433424*t^6+4.87507802790045*t^5+8.675231752551664*t^4+129.2304489458364*t^3+255.2702580243059*t^2+762.2061731135932*t-124.4874944649198,-0.007935686596675359*t^9-0.1738081214427536*t^8-2.768707583934068*t^7-13.43914072374209*t^6-61.2580215200536*t^5+201.3347955101645*t^4+2.614827265755679*t^3+527.7662820695066*t^2+172.6518882765477*t+48.70144825008214,-0.003630135777604781*t^10-0.08521433255881103*t^9+0.1727346876155158*t^8+21.75160230693105*t^7+191.6042375294096*t^6+1096.486674995911*t^5-19724.72794684994*t^4-68150.77788147867*t^3-1385932.578779076*t^2-3537569.084635577*t+6342220.486431791,-0.001263972789251798*t^12-0.452088250016899*t^11-1.634719968113187*t^10+186.2290811106382*t^9-1851.537592458751*t^8+3053.816837640795*t^7-32527.9030863583*t^6-352728.027609796*t^5+1492961.545155122*t^4+6664837.467242857*t^3-69087841.25810178*t^2-130270786.2731724*t-57318876.3592327,0.009014963108733889*t^12-0.04786542188350029*t^11+2.09371312042236*t^10-1.55361810201361*t^9+127.1322999850616*t^8+448.1160838696482*t^7-3172.704672761332*t^6+8029.853315622881*t^5+12809.58654631466*t^4-304067.8284334412*t^3+5041810.04495817*t^2+62555.78254417016*t+4675636.786343247] Nearest singular point at t=0.15467790308433042027904930096864114505 oh_hash.push_restrict Te=0.15467790308433042027904930096864114505 t in [0,0.15468] N=15468,M=24 ooooooooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00696] (697) y0 = 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min(y0) = y0[672] DtY=PY has min Y = [ 0.2469767299618877 0.007478357032943226 1.052956418601902 0.0002049341515904254 ] at t=21/3125,X=[2.949823346227618,0.1973157774928338,0.9028606950103504,-0.4523634956859161,-0.306491429650866,2.389870058966175,0.3812791354224975,5.572722827471286,0.241687756185802] Step <10> Xp=[2.949823346227618,0.1973157774928338,0.9028606950103504,-0.4523634956859161,-0.306491429650866,2.389870058966175,0.3812791354224975,5.572722827471286,0.241687756185802] Yp=[ 0.2469767299618877 0.007478357032943226 1.052956418601902 0.0002049341515904254 ] Gp=-(grad f)(Xp)=[ 0.0002315885603267724 2.480355863597933e-05 -0.0003755502802112488 -0.0001066873655161012 -0.0001010015748794142 -0.0001866770782907572 -0.0001027021355932412 -1.108614325617818e-05 0.0001399775301896055 ] |Gp|=0.0005310204088316528 Gp=Normalize(-(grad f)(Xp))=[ 0.4361198863077821 0.04670923795669536 -0.7072238165714417 -0.200910103908876 -0.1902028117933116 -0.3515440747399573 -0.1934052512580555 -0.02087705683585652 0.2636010365356448 ] X(t)=[0.4361198863077821*t+2.949823346227618,0.04670923795669536*t+0.1973157774928338,-0.7072238165714417*t+0.9028606950103504,-0.200910103908876*t-0.4523634956859161,-0.1902028117933116*t-0.306491429650866,-0.3515440747399573*t+2.389870058966175,-0.1934052512580555*t+0.3812791354224975,-0.02087705683585652*t+5.572722827471286,0.2636010365356448*t+0.241687756185802] Singular locus = [0.2636010365356448*t+0.241687756185802,-0.02087705683585652*t+5.572722827471286,-0.1934052512580555*t+0.3812791354224975,-0.3515440747399573*t+2.389870058966175,-0.200910103908876*t-0.4523634956859161,0.04670923795669536*t+0.1973157774928338,0.4361198863077821*t+2.949823346227618,-0.05747686396936579*t^2+1.882189993869164*t-13.39215865821345,0.07654197946675725*t^2+0.2983598572659729*t+0.2985697286786135,-0.07356687080333545*t^2-0.6339594146778317*t-0.8148371197421617,-0.09650512007091003*t^2-0.8417800281213222*t-1.394867995291903,0.6237487632106489*t^2-2.957338490371111*t+6.526636333337563,0.192382308143608*t^2+2.591386183976707*t+8.740391289997106,-0.07633288085342828*t^3-0.5032532720470106*t^2-1.582106914999868*t-2.738326165446258,-0.0639088781318264*t^3-0.2695291510103487*t^2+1.985387550491581*t+4.398613844604958,0.08401679338473991*t^3-0.4698783470559283*t^2+0.7798464551996148*t-1.395758472614006,0.01899485925680316*t^4-0.2485052250755879*t^3+6.87251264125412*t^2-46.01355389242246*t+186.1708087059979,0.12994955397915*t^4-1.922850045583707*t^3+9.661636856735024*t^2-22.42370792019772*t+5.375954058071152,0.06514238129604777*t^4+0.6934498017671118*t^3-1.862445560380339*t^2-15.55898447180289*t+11.38536293986451,0.001795419363607658*t^5+0.06956765872244122*t^4-0.4294166365909298*t^3-20.378022076002*t^2-108.4194560105135*t-48.75233011237425,-0.004186139522652645*t^6+0.3092872118160628*t^5+0.7457672385788363*t^4-3.895555599995424*t^3-7.769036463826605*t^2+0.9372990219191903*t-14.53880716056984,0.008857659494845332*t^6-0.1337922330688565*t^5+0.3896967957818763*t^4-8.627311302479448*t^3+617.8378272067418*t^2-1199.826071477794*t+619.6005535225881,0.01135207869533683*t^8+0.4184488301078384*t^7-1.372421497525231*t^6+3.340553227386933*t^5+13.36931993423627*t^4+69.87233224038201*t^3+206.7174303725849*t^2-1030.65085410789*t-119.3539021505721,0.0005182329491311071*t^9-0.004811507538037782*t^8-0.03510797850476371*t^7-0.326179530260515*t^6-2.649892101704292*t^5-0.9518579938467713*t^4+32.74676266307483*t^3+78.53370988083719*t^2+101.6920303362655*t+49.88550322341744,0.01630145450329467*t^10-0.2497800440150044*t^9+2.162287240014419*t^8+1.147876427240708*t^7+282.8054119755898*t^6-8038.256410353486*t^5+79745.18804407814*t^4-13329.66610229907*t^3-1159414.171264477*t^2+1074554.7502251*t+6318385.414963727,0.03013202757750168*t^12+0.5280936100173959*t^11-8.664975992968644*t^10-189.4558158174137*t^9+999.7472186540134*t^8+14720.03714855642*t^7-229692.4018593762*t^6-709669.3634260941*t^5+1595380.263527551*t^4+8196066.443132189*t^3+32091033.73928709*t^2+81803664.99641317*t-58197413.91377818,0.008359386052870954*t^12-0.03556090260132833*t^11-0.01379268487067791*t^10-5.81359117442015*t^9+435.8020257402836*t^8-208.5824217268418*t^7+20653.59498360954*t^6+19799.58692239321*t^5-1235704.770581341*t^4-264022.6538113764*t^3+13640488.38844158*t^2-573698.9332486485*t+4676284.749029159] Nearest singular point at t=0.26936042198059261302497549654252468463 oh_hash.push_restrict Te=0.1864483236008643 t in [0,0.18645] N=18645,M=24 ooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00408] (409) y0 = 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min(y0) = y0[381] DtY=PY has min Y = [ 0.246975717189457 0.007442629233037118 1.052956930599678 0.0002144465414751064 ] at t=381/100000,X=[2.951484962994451,0.1974937396894488,0.9001661722692131,-0.4531289631818088,-0.3072161023637985,2.388530676041416,0.3805422614152044,5.572643285884741,0.2426920761350028] Step <11> Xp=[2.951484962994451,0.1974937396894488,0.9001661722692131,-0.4531289631818088,-0.3072161023637985,2.388530676041416,0.3805422614152044,5.572643285884741,0.2426920761350028] Yp=[ 0.246975717189457 0.007442629233037118 1.052956930599678 0.0002144465414751064 ] Gp=-(grad f)(Xp)=[ -4.579560646661906e-05 4.147041545829759e-05 -4.393730000869754e-05 0.0002142331532959327 -0.0001387163956789157 9.28144073118059e-05 -4.687546710650456e-05 -1.464976019582842e-05 0.0001042871162772413 ] |Gp|=0.0003046109705502488 Gp=Normalize(-(grad f)(Xp))=[ -0.1503412906760841 0.136142225552105 -0.1442407012765471 0.7033008460231823 -0.4553887058904629 0.304698176641984 -0.1538863390961553 -0.04809334400978768 0.3423616558814583 ] X(t)=[-0.1503412906760841*t+2.951484962994451,0.136142225552105*t+0.1974937396894488,-0.1442407012765471*t+0.9001661722692131,0.7033008460231823*t-0.4531289631818088,-0.4553887058904629*t-0.3072161023637985,0.304698176641984*t+2.388530676041416,-0.1538863390961553*t+0.3805422614152044,-0.04809334400978768*t+5.572643285884741,0.3423616558814583*t+0.2426920761350028] Singular locus = [0.3423616558814583*t+0.2426920761350028,-0.04809334400978768*t+5.572643285884741,-0.1538863390961553*t+0.3805422614152044,0.304698176641984*t+2.388530676041416,0.7033008460231823*t-0.4531289631818088,0.136142225552105*t+0.1974937396894488,-0.1503412906760841*t+2.951484962994451,-0.1412536771899753*t^2-1.798800064804191*t-13.38498834867671,0.7020109534695145*t^2-0.3575664797584228*t+0.299707590825825,-0.02728521660739047*t^2-1.375093181105537*t-0.8172535730161374,-0.1677327888359278*t^2+2.01214436222627*t-1.398076578077018,0.1136463587536998*t^2+1.195880683779457*t+6.515377928088671,0.04113720926043106*t^2-0.8336856429874211*t+8.750267263998879,0.02035983276830654*t^3-0.1265874338998472*t^2-5.10880292060091*t-2.744361302288922,0.09717791465943457*t^3-1.523233911137487*t^2+2.761948631895466*t+4.406174255125655,-0.05563950508112039*t^3+0.7535948587668129*t^2+0.8628172252385939*t-1.392794073774108,0.113503520373727*t^4-0.1832668517324302*t^3+23.54357150220362*t^2+28.02069900359747*t+185.9955968140086,-0.01148064404499064*t^4+0.1692754628272099*t^3+0.3397992559570668*t^2+12.10727560409743*t+5.290659873863559,0.01696258897211304*t^4-0.07540845667286381*t^3+0.7707061872095826*t^2+5.833666364604544*t+11.32605621194683,0.006488680006459947*t^5-0.3071984185380089*t^4+1.973995590134574*t^3+20.71265904669577*t^2-75.71593227768675*t-49.16570407291536,0.0005915452351870308*t^6-0.03524255842707206*t^5-0.04323909814774617*t^4+7.014491154271527*t^3+12.43880010143705*t^2-14.23757439322386*t-14.53534904269807,0.003727768719510417*t^6-0.01501163767393583*t^5-0.303225444615136*t^4+1.951156602941139*t^3+11.26091528077689*t^2+15.53307368042466*t+615.038184308878,0.00532110084759101*t^8-0.04519040480683621*t^7-0.8582992560582278*t^6+2.499182266255254*t^5-3.957747048406306*t^4+110.2490522703563*t^3+208.1298312901546*t^2+722.2384770710507*t-123.2776773066285,-0.01106825660559491*t^9-0.08699280615082755*t^8-4.118884268382004*t^7-12.83917431042202*t^6-76.42868313090335*t^5+243.1713935234667*t^4-72.56858190981745*t^3+530.6531063345742*t^2+159.4891708115177*t+50.27409167308548,-0.002845221446504469*t^10-0.09093645075799722*t^9-0.5903656302348893*t^8+21.62646079050301*t^7+121.2897433101508*t^6+1740.825498672408*t^5-22926.6041812794*t^4-44831.37087784887*t^3-1296790.834917678*t^2-3007286.021114981*t+6322462.637669612,0.003843240796982807*t^12-0.5941494941321281*t^11+2.582272436693572*t^10+225.7127807342987*t^9-1929.684284812463*t^8+3655.355183900584*t^7-42755.08481663685*t^6-323990.0660915471*t^5+2799357.983826946*t^4+6957646.995826308*t^3-60678603.40722053*t^2-121241278.9490669*t-57885275.65985686,0.007842470909471915*t^12-0.04413997749153266*t^11+1.932740714276201*t^10-4.92747873591892*t^9+235.3163072849658*t^8+273.0741890253336*t^7-5660.57798671607*t^6+8125.651194295982*t^5-79429.0661679382*t^4-265028.286825489*t^3+5081229.537592011*t^2-59586.96252800571*t+4674296.947924463] Nearest singular point at t=0.16243414018510499870187815105978366260 oh_hash.push_restrict Te=0.16243414018510499870187815105978366260 t in [0,0.16243] N=16243,M=24 ooooooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00552] (553) y0 = 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min(y0) = y0[518] DtY=PY has min Y = [ 0.2469749284613947 0.007433959028629617 1.052872646711872 0.0002182902869313574 ] at t=259/50000,X=[2.950706195108749,0.1981989564178087,0.8994190054366006,-0.4494858647994088,-0.3095750158603111,2.390109012596422,0.3797451301786863,5.57239416236277,0.2444655095124688] Step <12> Xp=[2.950706195108749,0.1981989564178087,0.8994190054366006,-0.4494858647994088,-0.3095750158603111,2.390109012596422,0.3797451301786863,5.57239416236277,0.2444655095124688] Yp=[ 0.2469749284613947 0.007433959028629617 1.052872646711872 0.0002182902869313574 ] Gp=-(grad f)(Xp)=[ 0.0001857437103076278 1.059751006415193e-05 -0.0003092121829938697 -6.458921203400525e-05 -6.172872248388927e-05 -0.0001438624537912232 -6.516066768754228e-05 -8.575265887017514e-06 9.497094296625119e-05 ] |Gp|=0.0004150213755436639 Gp=Normalize(-(grad f)(Xp))=[ 0.447552153342246 0.02553485359704558 -0.7450512219733556 -0.1556286394872929 -0.1487362485920797 -0.3466386607262535 -0.1570055701400537 -0.0206622270377862 0.2288338590797702 ] X(t)=[0.447552153342246*t+2.950706195108749,0.02553485359704558*t+0.1981989564178087,-0.7450512219733556*t+0.8994190054366006,-0.1556286394872929*t-0.4494858647994088,-0.1487362485920797*t-0.3095750158603111,-0.3466386607262535*t+2.390109012596422,-0.1570055701400537*t+0.3797451301786863,-0.0206622270377862*t+5.57239416236277,0.2288338590797702*t+0.2444655095124688] Singular locus = [0.2288338590797702*t+0.2444655095124688,-0.0206622270377862*t+5.57239416236277,-0.1570055701400537*t+0.3797451301786863,-0.3466386607262535*t+2.390109012596422,-0.1556286394872929*t-0.4494858647994088,0.02553485359704558*t+0.1981989564178087,0.447552153342246*t+2.950706195108749,-0.04119821645837364*t^2+1.873790096194518*t-13.39430992318757,0.04634274507391072*t^2+0.231995800248795*t+0.2978742330993843,-0.06259327381261748*t^2-0.5351049454404277*t-0.8243772878221101,-0.07344989105663455*t^2-0.6977670793191242*t-1.387658170953969,0.6752596844740811*t^2-2.997234832365542*t+6.521575639435205,0.2009549587095038*t^2+2.651311785672884*t+8.745949876178258,-0.06074129722990362*t^3-0.4378878534039263*t^2-1.294609085742729*t-2.770828295232445,-0.06467402022961181*t^3-0.341850503277825*t^2+1.409795199125293*t+4.420440290524212,0.06656821254986364*t^3-0.3793608095813382*t^2+0.8578445751699871*t-1.38830446752212,0.01020949903924517*t^4-0.1860644218141863*t^3+5.750652118844719*t^2-46.88260905963413*t+186.1413757399843,0.1576591881625144*t^4-2.151187761104727*t^3+10.08461056386178*t^2-22.06785127455304*t+5.353384702641976,0.07187721355965926*t^4+0.6280473936625747*t^3-2.083864331583119*t^2-15.45903230018446*t+11.35629527314324,0.0008238720346763204*t^5+0.04086671345239286*t^4-0.3622368455665045*t^3-18.03692967629906*t^2-100.3752769423036*t-49.55735655761305,-0.002892891325659452*t^6+0.237750193060782*t^5+0.7283778583703482*t^4-3.129392251234579*t^3-6.966932249662394*t^2+1.882078511789899*t-14.60876494026941,0.004391130375757274*t^6-0.07049949199288562*t^5+0.04256726200214156*t^4-10.31990260929791*t^3+656.1209722099869*t^2-1235.379035438045*t+615.1189480589023,0.01007054874146185*t^8+0.3675084975064843*t^7-1.211810734846298*t^6+0.8817074070055192*t^5+15.90498912575121*t^4+27.93625497363873*t^3+276.6571243208496*t^2-1054.880887094154*t-119.5308820516378,0.0002577276349177394*t^9-0.002373920801016249*t^8-0.01599444747328692*t^7-0.05127394012352257*t^6-1.303250460897791*t^5-2.95031681302088*t^4+16.85035012878209*t^3+54.84898418765756*t^2+88.31110117227806*t+51.11447436265209,0.00930940239195068*t^10-0.157301673189576*t^9+1.746839529035139*t^8-2.121020886776396*t^7+230.8208495672777*t^6-6442.776134408416*t^5+68087.7968639951*t^4+32191.78005451211*t^3-1316423.566912127*t^2+1331741.134696187*t+6306850.093822145,0.0175461565050056*t^12+0.4720721678189696*t^11-7.034547071091048*t^10-226.6443106468932*t^9+1198.846217107586*t^8+17926.38824709215*t^7-222113.3610904651*t^6-780409.0822326174*t^5+1846562.248885146*t^4+7113857.427888467*t^3+22478509.75849514*t^2+88083971.03660123*t-58514932.66830072,0.006177602988450087*t^12-0.01305121637806226*t^11-0.7368266825282423*t^10-7.487691578803354*t^9+597.8811801405805*t^8-567.9459160898142*t^7+21458.47070812139*t^6+31070.87444125666*t^5-1315425.406901973*t^4-330749.2478951677*t^3+13629033.79864333*t^2-405025.1230921235*t+4674124.592148096] Nearest singular point at t=0.27520818305065634724307605946623555327 oh_hash.push_restrict Te=0.1723626532635808 t in [0,0.17236] N=17236,M=24 oooooooooooooo monotonely increasing here. break. t = [0 -> 0.00336] (337) y0 = 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min(y0) = y0[300] DtY=PY has min Y = [ 0.2469743067884455 0.007408886515917945 1.052875241774896 0.0002252947296411114 ] at t=3/1000,X=[2.952048851568776,0.1982755609785998,0.8971838517706805,-0.4499527507178707,-0.3100212246060873,2.389069096614243,0.3792741134682661,5.572332175681657,0.2451520110897081] Step <13> Xp=[2.952048851568776,0.1982755609785998,0.8971838517706805,-0.4499527507178707,-0.3100212246060873,2.389069096614243,0.3792741134682661,5.572332175681657,0.2451520110897081] Yp=[ 0.2469743067884455 0.007408886515917945 1.052875241774896 0.0002252947296411114 ] Gp=-(grad f)(Xp)=[ -3.502865471379391e-05 2.536637441755791e-05 -4.942084510479137e-05 0.0001852211100228582 -9.353445342763912e-05 7.827741152941978e-05 -2.341466588158189e-05 -1.161837012766953e-05 6.88970988673794e-05 ] |Gp|=0.0002427464306637399 Gp=Normalize(-(grad f)(Xp))=[ -0.1443014202845962 0.1044974146404493 -0.2035904090110009 0.7630230010649771 -0.3853175231944236 0.3224657570263192 -0.09645730245161313 -0.04786216668933711 0.2838233241123033 ] X(t)=[-0.1443014202845962*t+2.952048851568776,0.1044974146404493*t+0.1982755609785998,-0.2035904090110009*t+0.8971838517706805,0.7630230010649771*t-0.4499527507178707,-0.3853175231944236*t-0.3100212246060873,0.3224657570263192*t+2.389069096614243,-0.09645730245161313*t+0.3792741134682661,-0.04786216668933711*t+5.572332175681657,0.2838233241123033*t+0.2451520110897081] Singular locus = [0.2838233241123033*t+0.2451520110897081,-0.04786216668933711*t+5.572332175681657,-0.09645730245161313*t+0.3792741134682661,0.3224657570263192*t+2.389069096614243,0.7630230010649771*t-0.4499527507178707,0.1044974146404493*t+0.1982755609785998,-0.1443014202845962*t+2.952048851568776,-0.09392819045736385*t^2-1.864992910331092*t-13.38868892368293,0.7306736938348892*t^2-0.4477353755745431*t+0.2985706375848363,-0.02413206506498878*t^2-1.197009563221752*t-0.8259831659978958,-0.1503699877529698*t^2+2.208614530482715*t-1.389752133240946,0.1454332190958238*t^2+1.175469894975677*t+6.51259001227527,0.03174260956268966*t^2-0.8105311170444739*t+8.753905620129908,0.03203836755364187*t^3-0.09846808208614433*t^2-4.555746717302064*t-2.774716065120369,0.09296614646697779*t^3-1.396296467352958*t^2+1.85164280554001*t+4.424666597720861,-0.05812287097480617*t^3+0.6321949286802619*t^2+0.9778329794406478*t-1.385734346246555,0.07559161284188962*t^4-0.2135936924181072*t^3+25.13861629560635*t^2+28.61950373496717*t+186.0007796636516,0.00809486645239324*t^4+0.2035284914675867*t^3+0.5736162055930496*t^2+12.51212393167378*t+5.287271852244095,0.03648207574140965*t^4+0.01305897370295234*t^3+1.404002005588522*t^2+5.73518194294979*t+11.3098994384268,0.003363508891259704*t^5-0.2362687927394785*t^4+2.066332162071973*t^3+17.12642340161345*t^2-60.92853670539768*t-49.85864473058415,0.001583339234856042*t^6-0.04189891542582358*t^5-0.2182856336204436*t^4+5.239110244416173*t^3+11.34721433257519*t^2-11.92128869623929*t-14.60318149155882,0.01090697559151331*t^6-0.02000840987753869*t^5-0.6542886649097593*t^4+4.173722882333532*t^3+8.565133706773279*t^2-51.90854104080412*t+611.4187157627041,0.01207982595163692*t^8-0.05283721520836578*t^7-1.158496827137319*t^6+1.024678380342451*t^5-16.65652153351489*t^4+87.35979889835095*t^3+159.6671743593236*t^2+691.6878129460879*t-122.6930340432343,-0.01134968327920885*t^9+0.008134017366170572*t^8-5.307609704742855*t^7-11.09575649707129*t^6-91.86024226097328*t^5+282.1936873421325*t^4-164.3377359853329*t^3+509.5996425648126*t^2+140.0000262141272*t+51.37990176174681,-0.001680360371955012*t^10-0.07769000916780348*t^9-0.7482048131515051*t^8+23.53993437695434*t^7+49.83560677197769*t^6+1729.662581526233*t^5-24723.29317630215*t^4-34520.16871066167*t^3-1146655.142036906*t^2-2619651.995011289*t+6310833.470288823,-0.001974359754397365*t^12-0.6091898762142849*t^11+4.628369126809546*t^10+229.2386354800198*t^9-1730.195187944196*t^8+2800.925260881017*t^7-50940.33219902583*t^6-312807.0772811352*t^5+3461409.471603727*t^4+7399098.854150253*t^3-51052304.21350117*t^2-110505972.3945526*t-58250478.25637944,0.005527774198618856*t^12-0.02536764043833027*t^11+1.066445196390233*t^10-7.398438882699253*t^9+370.5109797008067*t^8+174.0142479830429*t^7-7947.812416097084*t^6+10587.17514299514*t^5-164149.225884583*t^4-256199.2440519373*t^3+5192240.739016751*t^2-133826.3070100939*t+4673032.169046232] Nearest singular point at t=0.17010132184963144816041252455999406601 oh_hash.push_restrict Te=0.17010132184963144816041252455999406601 t in [0,0.1701] N=17010,M=24 ooooooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00456] (457) y0 = 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min(y0) = y0[417] DtY=PY has min Y = [ 0.2469738012375209 0.007408670047334014 1.05280833512837 0.0002272616927116243 ] at t=417/100000,X=[2.951447114646189,0.1987113151976505,0.8963348797651046,-0.4467709448034297,-0.3116279986778081,2.390413778821043,0.3788718865170429,5.572132590446563,0.2463355543512564] Step <14> Xp=[2.951447114646189,0.1987113151976505,0.8963348797651046,-0.4467709448034297,-0.3116279986778081,2.390413778821043,0.3788718865170429,5.572132590446563,0.2463355543512564] Yp=[ 0.2469738012375209 0.007408670047334014 1.05280833512837 0.0002272616927116243 ] Gp=-(grad f)(Xp)=[ 0.0001539275545499779 3.240574796860773e-06 -0.0002620718862082674 -4.142272225775637e-05 -3.664156570428042e-05 -0.0001157976916426121 -4.362181071156795e-05 -6.765538737740773e-06 6.532560954541141e-05 ] |Gp|=0.0003392189391947604 Gp=Normalize(-(grad f)(Xp))=[ 0.4537705203470415 0.009553047965285385 -0.7725744524476578 -0.1221120564673831 -0.1080174526553864 -0.3413656440218025 -0.1285948562162172 -0.01994446051214252 0.1925765398019393 ] X(t)=[0.4537705203470415*t+2.951447114646189,0.009553047965285385*t+0.1987113151976505,-0.7725744524476578*t+0.8963348797651046,-0.1221120564673831*t-0.4467709448034297,-0.1080174526553864*t-0.3116279986778081,-0.3413656440218025*t+2.390413778821043,-0.1285948562162172*t+0.3788718865170429,-0.01994446051214252*t+5.572132590446563,0.1925765398019393*t+0.2463355543512564] Singular locus = [0.1925765398019393*t+0.2463355543512564,-0.01994446051214252*t+5.572132590446563,-0.1285948562162172*t+0.3788718865170429,-0.3413656440218025*t+2.390413778821043,-0.1221120564673831*t-0.4467709448034297,0.009553047965285385*t+0.1987113151976505,0.4537705203470415*t+2.951447114646189,-0.02760998087798904*t^2+1.863189362761792*t-13.39646757742693,0.02657912441285198*t^2+0.1764347628661909*t+0.2967162866804852,-0.04784859336542404*t^2-0.4316823264785811*t-0.8309751155065968,-0.05644274731015657*t^2-0.5875800481237088*t-1.380544825417513,0.7134017874932181*t^2-3.016981136060197*t+6.517494250661023,0.2059989458614518*t^2+2.682355983430207*t+8.750526257340896,-0.04704390938464451*t^3-0.3499361835751597*t^2-0.9920897093780328*t-2.793715238859995,-0.05983385150340167*t^3-0.3701508510002355*t^2+0.933966649896257*t+4.432363674901455,0.05197273620478458*t^3-0.3168040172046532*t^2+0.9161684127324323*t-1.381645793762481,0.005438146916673221*t^4-0.1307474668175989*t^3+4.95508243159207*t^2-47.39079051710297*t+186.1205601116462,0.1769204633976778*t^4-2.31421647615139*t^3+10.34221378257641*t^2-21.73516398037264*t+5.339457398354662,0.07443021024719328*t^4+0.5708236684194223*t^3-2.249553708891346*t^2-15.37408698435865*t+11.33383956213734,0.0003475370315837956*t^5+0.0242568166096046*t^4-0.2555832381862711*t^3-15.51729845545109*t^2-91.18304805424505*t-50.11241876921989,-0.001885131753145374*t^6+0.1618796562081617*t^5+0.6576137592198944*t^4-2.377509967424647*t^3-6.072999858571659*t^2+2.869213954754073*t-14.65269557001604,0.002058763613230789*t^6-0.03480488176303034*t^5-0.2537596464991367*t^4-11.68472916292398*t^3+683.1753635049198*t^2-1259.851908100817*t+611.2024063872635,0.007675347025945488*t^8+0.2924430384857684*t^7-0.9177696843688965*t^6-1.494218252067258*t^5+20.46132275878904*t^4-10.34911124418844*t^3+335.1370074619815*t^2-1073.550665448626*t-119.8059130971475,0.000122564336400179*t^9-0.001232303998151635*t^8-0.007175640506712416*t^7+0.02557329923562719*t^6-0.5950855206906034*t^5-2.851332738851593*t^4+7.552972660064004*t^3+35.48025191864096*t^2+73.97085183554066*t+51.97255141708571,0.00458345956515151*t^10-0.08971870102494654*t^9+1.431172144687174*t^8-4.099548406412829*t^7+168.0115297252165*t^6-4749.035022301148*t^5+54183.95246615983*t^4+76142.87110048531*t^3-1434732.62630123*t^2+1524744.942979712*t+6299889.57988744,0.009229266192617111*t^12+0.3904783274167316*t^11-5.221993308048249*t^10-233.8775721686048*t^9+1129.302059540275*t^8+19503.30223462338*t^7-191763.5499134149*t^6-825883.1211296223*t^5+1933546.788623807*t^4+6123291.844685012*t^3+12649008.85748169*t^2+94361762.41434449*t-58712175.36711001,0.004141667081169912*t^12+0.00225702709017045*t^11-1.388202011269655*t^10-9.367529257266698*t^9+726.7844811966413*t^8-781.5376755439919*t^7+21488.45487425193*t^6+38292.54273671392*t^5-1362473.644333818*t^4-374143.2562408189*t^3+13568860.5725502*t^2-309269.0093635735*t+4672564.382073923] Nearest singular point at t=0.28089444745803930879096207704264350403 oh_hash.push_restrict Te=0.1622301635370168 t in [0,0.16223] N=16223,M=24 oooooooooooo monotonely increasing here. break. t = [0 -> 0.00288] (289) y0 = [0.2469738012375209,0.2469737978522087,0.246973794480651,0.2469737911228477,0.2469737877787989,0.2469737844485044,0.2469737811319644,0.2469737778291789,0.2469737745401478,0.2469737712648711,0.2469737680033489,0.2469737647555811,0.2469737615215677,0.2469737583013088,0.2469737550948043,0.2469737519020543,0.2469737487230587,0.2469737455578176,0.2469737424063309,0.2469737392685986,0.2469737361446207,0.2469737330343973,0.2469737299379283,0.2469737268552138,0.2469737237862537,0.2469737207310481,0.2469737176895969,0.2469737146619001,0.2469737116479578,0.2469737086477699,0.2469737056613364,0.2469737026886574,0.2469736997297328,0.2469736967845627,0.246973693853147,0.2469736909354858,0.246973688031579,0.2469736851414266,0.2469736822650287,0.2469736794023852,0.2469736765534961,0.2469736737183615,0.2469736708969814,0.2469736680893557,0.2469736652954844,0.2469736625153676,0.2469736597490052,0.2469736569963972,0.2469736542575437,0.2469736515324447,0.2469736488211,0.2469736461235099,0.2469736434396741,0.2469736407695928,0.246973638113266,0.2469736354706936,0.2469736328418756,0.2469736302268121,0.246973627625503,0.2469736250379483,0.2469736224641481,0.2469736199041024,0.2469736173578111,0.2469736148252742,0.2469736123064918,0.2469736098014638,0.2469736073101903,0.2469736048326712,0.2469736023689066,0.2469735999188964,0.2469735974826406,0.2469735950601393,0.2469735926513924,0.2469735902564,0.246973587875162,0.2469735855076785,0.2469735831539495,0.2469735808139748,0.2469735784877546,0.2469735761752889,0.2469735738765776,0.2469735715916208,0.2469735693204184,0.2469735670629704,0.2469735648192769,0.2469735625893378,0.2469735603731532,0.2469735581707231,0.2469735559820474,0.2469735538071261,0.2469735516459593,0.2469735494985469,0.246973547364889,0.2469735452449855,0.2469735431388365,0.2469735410464419,0.2469735389678018,0.2469735369029161,0.2469735348517849,0.2469735328144081,0.2469735307907858,0.2469735287809179,0.2469735267848045,0.2469735248024455,0.246973522833841,0.2469735208789909,0.2469735189378953,0.2469735170105541,0.2469735150969674,0.2469735131971352,0.2469735113110574,0.246973509438734,0.2469735075801651,0.2469735057353506,0.2469735039042906,0.2469735020869851,0.246973500283434,0.2469734984936373,0.2469734967175951,0.2469734949553074,0.2469734932067741,0.2469734914719953,0.2469734897509709,0.246973488043701,0.2469734863501855,0.2469734846704245,0.246973483004418,0.2469734813521659,0.2469734797136683,0.2469734780889251,0.2469734764779364,0.2469734748807021,0.2469734732972223,0.2469734717274969,0.246973470171526,0.2469734686293096,0.2469734671008476,0.2469734655861401,0.246973464085187,0.2469734625979884,0.2469734611245442,0.2469734596648545,0.2469734582189193,0.2469734567867385,0.2469734553683122,0.2469734539636404,0.246973452572723,0.24697345119556,0.2469734498321516,0.2469734484824975,0.246973447146598,0.2469734458244529,0.2469734445160623,0.2469734432214261,0.2469734419405444,0.2469734406734171,0.2469734394200443,0.246973438180426,0.2469734369545622,0.2469734357424528,0.2469734345440979,0.2469734333594974,0.2469734321886514,0.2469734310315599,0.2469734298882228,0.2469734287586402,0.246973427642812,0.2469734265407384,0.2469734254524192,0.2469734243778544,0.2469734233170441,0.2469734222699883,0.246973421236687,0.2469734202171401,0.2469734192113477,0.2469734182193098,0.2469734172410263,0.2469734162764973,0.2469734153257227,0.2469734143887027,0.2469734134654371,0.2469734125559259,0.2469734116601693,0.2469734107781671,0.2469734099099193,0.2469734090554261,0.2469734082146873,0.246973407387703,0.2469734065744731,0.2469734057749978,0.2469734049892769,0.2469734042173105,0.2469734034590985,0.2469734027146411,0.2469734019839381,0.2469734012669896,0.2469734005637955,0.2469733998743559,0.2469733991986708,0.2469733985367402,0.246973397888564,0.2469733972541424,0.2469733966334751,0.2469733960265624,0.2469733954334042,0.2469733948540004,0.2469733942883511,0.2469733937364563,0.246973393198316,0.2469733926739301,0.2469733921632987,0.2469733916664218,0.2469733911832994,0.2469733907139315,0.246973390258318,0.246973389816459,0.2469733893883545,0.2469733889740045,0.2469733885734089,0.2469733881865679,0.2469733878134813,0.2469733874541492,0.2469733871085716,0.2469733867767485,0.2469733864586798,0.2469733861543656,0.246973385863806,0.2469733855870008,0.2469733853239501,0.2469733850746538,0.2469733848391121,0.2469733846173248,0.246973384409292,0.2469733842150137,0.24697338403449,0.2469733838677206,0.2469733837147058,0.2469733835754455,0.2469733834499396,0.2469733833381883,0.2469733832401914,0.246973383155949,0.2469733830854611,0.2469733830287277,0.2469733829857488,0.2469733829565244,0.2469733829410544,0.246973382939339,0.2469733829513781,0.2469733829771716,0.2469733830167196,0.2469733830700222,0.2469733831370792,0.2469733832178907,0.2469733833124567,0.2469733834207773,0.2469733835428523,0.2469733836786817,0.2469733838282657,0.2469733839916042,0.2469733841686972,0.2469733843595447,0.2469733845641466,0.2469733847825031,0.2469733850146141,0.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min(y0) = y0[247] DtY=PY has min Y = [ 0.246973382939339 0.007389947006043514 1.052812151538154 0.0002325702607545868 ] at t=247/100000,X=[2.952567927831447,0.1987349112261248,0.8944266208675589,-0.4470725615829041,-0.3118948017858669,2.389570605680309,0.3785542572221888,5.572083327629097,0.2468112184045672] Step <15> Xp=[2.952567927831447,0.1987349112261248,0.8944266208675589,-0.4470725615829041,-0.3118948017858669,2.389570605680309,0.3785542572221888,5.572083327629097,0.2468112184045672] Yp=[ 0.246973382939339 0.007389947006043514 1.052812151538154 0.0002325702607545868 ] Gp=-(grad f)(Xp)=[ -2.860177522234992e-05 1.632441181887909e-05 -4.908060711228228e-05 0.0001623287418449169 -6.450739350751113e-05 6.763867606760302e-05 -1.060294242892848e-05 -9.440887736023029e-06 4.559333058350547e-05 ] |Gp|=0.0002021399842954611 Gp=Normalize(-(grad f)(Xp))=[ -0.1414948918792023 0.08075795531386928 -0.242805040691716 0.8030511252422305 -0.3191223830967695 0.334613047009729 -0.0524534641965269 -0.04670470203571207 0.2255532508445398 ] X(t)=[-0.1414948918792023*t+2.952567927831447,0.08075795531386928*t+0.1987349112261248,-0.242805040691716*t+0.8944266208675589,0.8030511252422305*t-0.4470725615829041,-0.3191223830967695*t-0.3118948017858669,0.334613047009729*t+2.389570605680309,-0.0524534641965269*t+0.3785542572221888,-0.04670470203571207*t+5.572083327629097,0.2255532508445398*t+0.2468112184045672] Singular locus = [0.2255532508445398*t+0.2468112184045672,-0.04670470203571207*t+5.572083327629097,-0.0524534641965269*t+0.3785542572221888,0.334613047009729*t+2.389570605680309,0.8030511252422305*t-0.4470725615829041,0.08075795531386928*t+0.1987349112261248,-0.1414948918792023*t+2.952567927831447,-0.05635108826688187*t^2-1.901999467975086*t-13.39186566814663,0.7467302051461739*t^2-0.5189790224453543*t+0.2971522427013448,-0.01969857979455373*t^2-1.02158862026297*t-0.8320416627724821,-0.1393993032934055*t^2+2.345712735622238*t-1.381996492487936,0.170920179014441*t^2+1.16482041867214*t+6.510046659647919,0.02654265177438404*t^2-0.8034477092688113*t+8.757152933398938,0.03422043305666574*t^3-0.06552548785402888*t^2-4.015639545187042*t-2.796167836076736,0.08086053517625999*t^3-1.212787249069442*t^2+1.120583757778084*t+4.434668313371724,-0.05262183210530688*t^3+0.5150945634939407*t^2+1.054861539316913*t-1.379384789789472,0.04559270005086707*t^4-0.2465358122016022*t^3+26.15021517313615*t^2+28.91561743328884*t+186.0035350875613,0.02121040024173191*t^4+0.2082416430913604*t^3+0.7433622537138832*t^2+12.86645276764099*t+5.285834605268347,0.05112238616143898*t^4+0.06630262411651774*t^3+1.86561904780913*t^2+5.722748585681248*t+11.29585185158839,0.001780876597203532*t^5-0.1732454175861452*t^4+1.826336913777833*t^3+13.59031315767453*t^2-45.50424728703904*t-50.33773557125056,0.00196986099387503*t^6-0.03211351930532168*t^5-0.2810513382084992*t^4+3.644790742886179*t^3+9.906663930101109*t^2-9.883057882609481*t-14.64564569811537,0.01843160052164937*t^6-0.03012524884763141*t^5-0.8736606387756518*t^4+6.220659420024121*t^3+7.410316670644019*t^2-95.3206193470406*t+608.0947399827401,0.01528302446323047*t^8-0.04393998821323723*t^7-1.303528911693139*t^6+0.3189625349732124*t^5-24.83068223011478*t^4+64.91164127619109*t^3+116.3089628392679*t^2+664.6115039041655*t-122.4555387586284,-0.009042356541592632*t^9+0.07045050933112339*t^8-6.122715293085517*t^7-8.803610451059631*t^6-103.7476698087269*t^5+312.8655791333841*t^4-244.8653095597908*t^3+478.8608195518527*t^2+119.6878897663059*t+52.15547599629961,-0.0007770928167251871*t^10-0.05400677605031341*t^9-0.6070437047289489*t^8+24.2435143389396*t^7+8.258962225362518*t^6+1391.49513455594*t^5-24271.37035681305*t^4-30782.87391931575*t^3-976992.0129272094*t^2-2321689.494767331*t+6303646.947885746,-0.006404574353182423*t^12-0.5179163410074691*t^11+5.221806209079284*t^10+209.095113747159*t^9-1396.416414300394*t^8+1807.103998355628*t^7-55489.0701735787*t^6-300386.7731600929*t^5+3505784.447785533*t^4+7712010.526696181*t^3-41777751.70483284*t^2-100229402.7398644*t-58479024.55126323,0.00366043422797295*t^12-0.006582669430198961*t^11-0.02796171978966427*t^10-9.251334925908827*t^9+488.0992222535525*t^8+106.9232765962247*t^7-9557.079628826485*t^6+13461.0465639792*t^5-223718.0548792894*t^4-260201.2432367512*t^3+5274470.190334054*t^2-180926.6699084493*t+4671883.264193496] Nearest singular point at t=0.17818040222616070537266401178239754549 oh_hash.push_restrict Te=0.17818040222616070537266401178239754549 t in [0,0.17818] N=17818,M=24 oooooooooooooooo monotonely increasing here. break. t = [0 -> 0.00384] (385) y0 = 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min(y0) = y0[349] DtY=PY has min Y = [ 0.2469730306023343 0.007393978947568972 1.052758004566379 0.0002331933171833514 ] at t=349/100000,X=[2.952074110658788,0.1990167564901702,0.8935792312755447,-0.4442699131558088,-0.3130085389028747,2.390738405214373,0.378371194632143,5.571920328218993,0.2475983992500146] Step <16> Xp=[2.952074110658788,0.1990167564901702,0.8935792312755447,-0.4442699131558088,-0.3130085389028747,2.390738405214373,0.378371194632143,5.571920328218993,0.2475983992500146] Yp=[ 0.2469730306023343 0.007393978947568972 1.052758004566379 0.0002331933171833514 ] Gp=-(grad f)(Xp)=[ 0.0001310144134344382 -5.58634465516912e-07 -0.0002266354336561676 -2.886838342391982e-05 -2.088014234728069e-05 -9.687075505732112e-05 -3.073166744926165e-05 -5.519913655188668e-06 4.607134372214402e-05 ] |Gp|=0.0002868440151427609 Gp=Normalize(-(grad f)(Xp))=[ 0.4567444552372234 -0.001947520031885212 -0.7900999208345769 -0.1006414005519765 -0.07279267213188584 -0.3377123103269524 -0.1071372098663681 -0.01924360754900685 0.1606146242905383 ] X(t)=[0.4567444552372234*t+2.952074110658788,-0.001947520031885212*t+0.1990167564901702,-0.7900999208345769*t+0.8935792312755447,-0.1006414005519765*t-0.4442699131558088,-0.07279267213188584*t-0.3130085389028747,-0.3377123103269524*t+2.390738405214373,-0.1071372098663681*t+0.378371194632143,-0.01924360754900685*t+5.571920328218993,0.1606146242905383*t+0.2475983992500146] Singular locus = [0.1606146242905383*t+0.2475983992500146,-0.01924360754900685*t+5.571920328218993,-0.1071372098663681*t+0.378371194632143,-0.3377123103269524*t+2.390738405214373,-0.1006414005519765*t-0.4442699131558088,-0.001947520031885212*t+0.1990167564901702,0.4567444552372234*t+2.952074110658788,-0.01819037084996747*t^2+1.859415420650229*t-13.39850433265176,0.01542746462116361*t^2+0.1349933484598863*t+0.2953501011615823,-0.03344365052175197*t^2-0.3386901768809588*t-0.8356072469878717,-0.04582563648227241*t^2-0.5138960635968453*t-1.373811652938069,0.7383074894491726*t^2-3.026797340205099*t+6.514113964733957,0.2086192902242226*t^2+2.695911784745627*t+8.754349224185741,-0.03690249920470006*t^3-0.2643827405352193*t^2-0.7148740092304173*t-2.810183214741773,-0.05262651918740488*t^3-0.3715575201680647*t^2+0.5704035535230954*t+4.43856438225366,0.04137001498597545*t^3-0.2741213836572293*t^2+0.9521541763984797*t-1.37569705135084,0.003105361232610952*t^4-0.09121627720531747*t^3+4.473061762077128*t^2-47.77904896031949*t+186.1047690941661,0.1888449195254842*t^4-2.418245454022767*t^3+10.48633382208014*t^2-21.47485363697308*t+5.330747588509195,0.07492931197757102*t^4+0.5315807222541573*t^3-2.360606947610118*t^2-15.30854964489684*t+11.31584697040499,0.0001363005951211267*t^5+0.01545535686054528*t^4-0.1447719654116785*t^3-13.26493096468402*t^2-82.80562770254242*t-50.49637978529977,-0.00123833440631726*t^6+0.101875546802062*t^5+0.562327296180512*t^4-1.763348987164568*t^3-5.236202763291853*t^2+3.724664569523268*t-14.68001675107528,0.001018087634905935*t^6-0.01513074212442019*t^5-0.4650415526191691*t^4-12.73222665324243*t^3+699.8185272982619*t^2-1274.050341279096*t+607.7621615439185,0.005650480147836956*t^8+0.2195462490364046*t^7-0.5842265617574109*t^6-3.470785966532596*t^5+25.5772078062372*t^4-41.05347467940815*t^3+380.4626754555134*t^2-1088.302159975745*t-120.1346251995882,6.323050708226071e-05*t^9-0.0007177475884235466*t^8-0.003432687930498094*t^7+0.03515534575882874*t^6-0.2867665574675278*t^5-2.165727103688697*t^4+3.072749260457226*t^3+21.84097745306288*t^2+60.83051649709743*t+52.57900894174466,0.002058101000613849*t^10-0.04986328367227959*t^9+1.219436965793316*t^8-4.878611448164694*t^7+104.0455329336127*t^6-3283.693534177143*t^5+41146.51707149527*t^4+113462.0814250306*t^3-1520070.000105031*t^2+1670420.90528177*t+6295532.350376456,0.0048050341796452*t^12+0.320888983464032*t^11-3.425160846466601*t^10-223.4767427056877*t^9+891.1395118104573*t^8+19871.85541891936*t^7-151795.9838102352*t^6-847900.3750494772*t^5+1906080.161360952*t^4+5297271.974797593*t^3+4030068.456126778*t^2+99856544.43670616*t-58829333.6956726,0.00289268390702557*t^12+0.01069933703585474*t^11-1.852117612647623*t^10-10.86352552419435*t^9+809.8918628409571*t^8-921.3364353991939*t^7+21339.8264501805*t^6+43141.18104039093*t^5-1388441.970532818*t^4-405192.7506622365*t^3+13518111.17807277*t^2-255177.2272584694*t+4671316.062595904] Nearest singular point at t=0.28546263180715920901322732559403683324 oh_hash.push_restrict Te=0.155143960963906 t in [0,0.15514] N=15514,M=24 oooooooooo monotonely increasing here. break. t = [0 -> 0.0024] (241) y0 = 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min(y0) = y0[210] DtY=PY has min Y = [ 0.2469727299054381 0.007379273630162682 1.052762385923127 0.0002373540755960955 ] at t=21/10000,X=[2.953033274014786,0.1990126666981032,0.8919200214417922,-0.4444812600969679,-0.3131614035143516,2.390029209362686,0.3781462064914236,5.57187991664314,0.2479356899610247] Step <17> Xp=[2.953033274014786,0.1990126666981032,0.8919200214417922,-0.4444812600969679,-0.3131614035143516,2.390029209362686,0.3781462064914236,5.57187991664314,0.2479356899610247] Yp=[ 0.2469727299054381 0.007379273630162682 1.052762385923127 0.0002373540755960955 ] Gp=-(grad f)(Xp)=[ -2.446126058296919e-05 1.108392845726295e-05 -4.604271945238617e-05 0.0001432594535129223 -4.581212428836172e-05 5.923285179844709e-05 -3.494303036179203e-06 -7.906618417097278e-06 3.056978673682015e-05 ] |Gp|=0.000173150015502084 Gp=Normalize(-(grad f)(Xp))=[ -0.1412720669532645 0.06401344189963153 -0.2659123033796784 0.8273718780648798 -0.2645805381854577 0.3420897862855471 -0.02018078384831069 -0.04566339999549186 0.1765508749634055 ] X(t)=[-0.1412720669532645*t+2.953033274014786,0.06401344189963153*t+0.1990126666981032,-0.2659123033796784*t+0.8919200214417922,0.8273718780648798*t-0.4444812600969679,-0.2645805381854577*t-0.3131614035143516,0.3420897862855471*t+2.390029209362686,-0.02018078384831069*t+0.3781462064914236,-0.04566339999549186*t+5.57187991664314,0.1765508749634055*t+0.2479356899610247] Singular locus = [0.1765508749634055*t+0.2479356899610247,-0.04566339999549186*t+5.57187991664314,-0.02018078384831069*t+0.3781462064914236,0.3420897862855471*t+2.390029209362686,0.8273718780648798*t-0.4444812600969679,0.06401344189963153*t+0.1990126666981032,-0.1412720669532645*t+2.953033274014786,-0.03109094276940201*t^2-1.917834228185644*t-13.39459964048793,0.7545470857991128*t^2-0.5697897645006644*t+0.295633655228467,-0.01558508214082847*t^2-0.8732788826399558*t-0.8363186438458204,-0.1338212462621379*t^2+2.433348054475804*t-1.374891036762679,0.1877347749695774*t^2+1.160864148230115*t+6.507760946255556,0.02405551764508515*t^2-0.8088832572497299*t+8.760011558944777,0.03102203339628224*t^3-0.03680755828915518*t^2-3.557073828134151*t-2.811685616430796,0.06701142971711263*t^3-1.0301150812799*t^2+0.5791141378451055*t+4.43976059066002,-0.04343869478457234*t^3+0.4181558870267328*t^2+1.09943304065839*t-1.373698736072578,0.02622790837987948*t^4-0.2742161446364715*t^3+26.72278785851681*t^2+29.00465483692542*t+186.0044528167072,0.02896134677382718*t^4+0.1987896420394322*t^3+0.8481781653543869*t^2+13.14923524992549*t+5.285696618212012,0.0602517364981784*t^4+0.09351937530422211*t^3+2.163470879548177*t^2+5.757188651758527*t+11.2836886107985,0.001025968723951153*t^5-0.1261103124367932*t^4+1.45944942219826*t^3+10.63272183284395*t^2-32.26399562460819*t-50.67033010316112,0.001834919711218252*t^6-0.02019676307858321*t^5-0.2832850684390142*t^4+2.463734121665472*t^3+8.510184381952064*t^2-8.288077248947523*t-14.6722180634529,0.02392227084043152*t^6-0.04010866888784344*t^5-0.9902667727561537*t^4+7.655625153804891*t^3+6.630924618024239*t^2-120.0475918691519*t+605.089741909016,0.01474813365290273*t^8-0.03122821238175831*t^7-1.368876300318099*t^6+0.01094131675222876*t^5-28.93650057866672*t^4+46.69127812200041*t^3+81.96165573126524*t^2+643.3511996245215*t-122.4183822748374,-0.006296760595344116*t^9+0.1003437813304615*t^8-6.607462318779057*t^7-6.789021897269556*t^6-111.7147058462581*t^5+334.3407426677513*t^4-304.0152982324931*t^3+449.351835077201*t^2+102.1145812100158*t+52.70684937351372,-0.0003372064680723152*t^10-0.03363475131523069*t^9-0.4163376113038968*t^8+22.88641168819339*t^7-11.19049040048361*t^6+1007.954649391956*t^5-22433.00416788482*t^4-29591.8516043524*t^3-825890.9911688517*t^2-2103169.083397123*t+6299033.531820422,-0.007543443277006573*t^12-0.4106233487644755*t^11+5.021258998612152*t^10+182.1571531214665*t^9-1054.293348554914*t^8+1159.449205169293*t^7-56735.23049753445*t^6-289014.103902861*t^5+3244429.521335418*t^4+7866133.115989097*t^3-34070201.85983021*t^2-91790085.78682138*t-58619617.13065862,0.002572307066353615*t^12+0.005742383405096211*t^11-0.8684947483394071*t^10-10.5906177488989*t^9+568.3999254960963*t^8+59.7830096180755*t^7-10534.39345584496*t^6+15978.14937609129*t^5-260078.0688868534*t^4-269776.1739335188*t^3+5338065.677338031*t^2-212432.8699871699*t+4670839.801509475] Nearest singular point at t=0.18548922279819831274807991718639169159 oh_hash.push_restrict Te=0.18548922279819831274807991718639169159 t in [0,0.18549] N=18549,M=24 oooooooooooooo monotonely increasing here. break. t = [0 -> 0.00336] (337) y0 = 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min(y0) = y0[299] DtY=PY has min Y = [ 0.2469724713220534 0.007385339074086983 1.052717452687699 0.0002371256635483331 ] at t=299/100000,X=[2.952610870534596,0.1992040668893831,0.891124943654687,-0.4420074181815539,-0.3139524993235261,2.39105205782368,0.3780858659477171,5.571743383077154,0.2484635770771653] Step <18> Xp=[2.952610870534596,0.1992040668893831,0.891124943654687,-0.4420074181815539,-0.3139524993235261,2.39105205782368,0.3780858659477171,5.571743383077154,0.2484635770771653] Yp=[ 0.2469724713220534 0.007385339074086983 1.052717452687699 0.0002371256635483331 ] Gp=-(grad f)(Xp)=[ 0.0001132308596826313 -2.455018241155496e-06 -0.000198095846378369 -2.159472775535923e-05 -1.121915270306133e-05 -8.301196656476661e-05 -2.267162234916714e-05 -4.669907495646886e-06 3.352198019003873e-05 ] |Gp|=0.0002474104705754581 Gp=Normalize(-(grad f)(Xp))=[ 0.4576639760607738 -0.009922855065290117 -0.800676890988538 -0.08728299859392173 -0.04534631326219307 -0.3355232556313685 -0.09163566237287635 -0.01887514091374157 0.1354913561744947 ] X(t)=[0.4576639760607738*t+2.952610870534596,-0.009922855065290117*t+0.1992040668893831,-0.800676890988538*t+0.891124943654687,-0.08728299859392173*t-0.4420074181815539,-0.04534631326219307*t-0.3139524993235261,-0.3355232556313685*t+2.39105205782368,-0.09163566237287635*t+0.3780858659477171,-0.01887514091374157*t+5.571743383077154,0.1354913561744947*t+0.2484635770771653] Singular locus = [0.1354913561744947*t+0.2484635770771653,-0.01887514091374157*t+5.571743383077154,-0.09163566237287635*t+0.3780858659477171,-0.3355232556313685*t+2.39105205782368,-0.08728299859392173*t-0.4420074181815539,-0.009922855065290117*t+0.1992040668893831,0.4576639760607738*t+2.952610870534596,-0.01247708221128743*t^2+1.860776166847993*t-13.40033424278634,0.009674609970019489*t^2+0.1056326424868332*t+0.2939367295590118,-0.02161947057198408*t^2-0.2645736138694298*t-0.8389298870371069,-0.03949631928475516*t^2-0.4659214677866922*t-1.36761652245512,0.7536593388325438*t^2-3.03151344038571*t+6.511233608426426,0.2095547780364033*t^2+2.698653915369932*t+8.757593213064334,-0.0298664415128249*t^3-0.1943533286913027*t^2-0.4912444030526315*t-2.822321595410923,-0.04567064386045719*t^3-0.3623227073260807*t^2+0.3075999513225563*t+4.441482934391615,0.03411129182898882*t^3-0.245267195405705*t^2+0.9730944374311786*t-1.370407694086719,0.001974341075132659*t^4-0.06648941257398094*t^3+4.204570874210799*t^2-48.11084679513827*t+186.0914156317374,0.195993351186769*t^4-2.48156078950703*t^3+10.56022659845954*t^2-21.27785470021974*t+5.325020419723046,0.07457105714621994*t^4+0.507432327923155*t^3-2.428860652218879*t^2-15.25988048190415*t+11.30092194901794,4.64283765587138e-05*t^5+0.0106627145876458*t^4-0.0510284762724193*t^3-11.46507290776384*t^2-76.10546916314512*t-50.76670435347992,-0.0008591904353140295*t^6+0.06204372072846609*t^5+0.4730731447351254*t^4-1.314128104290358*t^3-4.551902770031632*t^2+4.386028656876703*t-14.69692326669268,0.0005681710077890531*t^6-0.004462213603927196*t^5-0.5748420110257246*t^4-13.60049831599033*t^3+709.4566272137386*t^2-1281.297658903191*t+604.7308590950189,0.004311959769078822*t^8+0.1612221879497748*t^7-0.2870544092258309*t^6-4.973310587238139*t^5+30.06333645371939*t^4-63.9740081664775*t^3+413.5887330611062*t^2-1098.831562466081*t-120.4940281967749,3.728383579944372e-05*t^9-0.0004686682800286998*t^8-0.001791314069921917*t^7+0.02990854899722987*t^6-0.1595386932520137*t^5-1.549844785427774*t^4+1.185687257253602*t^3+13.06763683956875*t^2+50.14917217558296*t+53.01618112176585,0.0008732284466786862*t^10-0.0295285118183686*t^9+1.094755868612331*t^8-4.957264340286672*t^7+46.71447837119427*t^6-2156.206097402485*t^5+30531.55454147574*t^4+142583.4292400391*t^3-1579052.036015888*t^2+1772761.174627634*t+6292737.671920205,0.002401134797090889*t^12+0.2682079268349953*t^11-1.814543233221101*t^10-207.2496845786993*t^9+612.6789660494898*t^8+19639.78863356681*t^7-114215.6584773614*t^6-855848.0551798862*t^5+1837321.585441867*t^4+4674526.003777818*t^3-2751771.662576863*t^2+104147458.1818955*t-58894373.86764476,0.002230726491276726*t^12+0.01510563567434595*t^11-2.11345950777996*t^10-12.03131710447046*t^9+858.5112941540344*t^8-1023.225064782279*t^7+21055.87290699284*t^6+46821.10364268182*t^5-1399003.059995394*t^4-431422.267410957*t^3+13472669.43704588*t^2-225259.9403903975*t+4670252.342837051] Nearest singular point at t=0.28894862598088482418506448303374990568 oh_hash.push_restrict Te=0.1500292377695296 t in [0,0.15003] N=15003,M=24 ooooooooo monotonely increasing here. break. t = [0 -> 0.00216] (217) y0 = 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min(y0) = y0[182] DtY=PY has min Y = [ 0.2469722467008796 0.007373349022461735 1.052721914258148 0.0002404886133505703 ] at t=91/50000,X=[2.953443818971027,0.1991860072931643,0.8896677117130878,-0.4421662732389949,-0.3140350296136634,2.390441405498431,0.3779190890421985,5.571709030320691,0.2487101713454029] Step <19> Xp=[2.953443818971027,0.1991860072931643,0.8896677117130878,-0.4421662732389949,-0.3140350296136634,2.390441405498431,0.3779190890421985,5.571709030320691,0.2487101713454029] Yp=[ 0.2469722467008796 0.007373349022461735 1.052721914258148 0.0002404886133505703 ] Gp=-(grad f)(Xp)=[ -2.15879150195779e-05 7.924146930435349e-06 -4.189424124018733e-05 0.0001269185737694852 -3.365999207203022e-05 5.226415986619472e-05 4.169421525812567e-07 -6.807411119830187e-06 2.094576912310708e-05 ] |Gp|=0.0001508047061603805 Gp=Normalize(-(grad f)(Xp))=[ -0.1431514676778004 0.05254575359211954 -0.2778046011086211 0.8416088396771089 -0.2232025308032024 0.3465684937618053 0.002764782102607855 -0.04514057480799383 0.1388933386523845 ] X(t)=[-0.1431514676778004*t+2.953443818971027,0.05254575359211954*t+0.1991860072931643,-0.2778046011086211*t+0.8896677117130878,0.8416088396771089*t-0.4421662732389949,-0.2232025308032024*t-0.3140350296136634,0.3465684937618053*t+2.390441405498431,0.002764782102607855*t+0.3779190890421985,-0.04514057480799383*t+5.571709030320691,0.1388933386523845*t+0.2487101713454029] Singular locus = [0.1388933386523845*t+0.2487101713454029,-0.04514057480799383*t+5.571709030320691,0.002764782102607855*t+0.3779190890421985,0.3465684937618053*t+2.390441405498431,0.8416088396771089*t-0.4421662732389949,0.05254575359211954*t+0.1991860072931643,-0.1431514676778004*t+2.953443818971027,-0.01535704368016996*t^2-1.922203020625897*t-13.39694767149177,0.7581248087796041*t^2-0.6040752615887874*t+0.2941290130145159,-0.01227120083674513*t^2-0.758664304025525*t-0.8394114826266836,-0.1322058857951113*t^2+2.487981148293727*t-1.3684646303541,0.1972851172654465*t^2+1.16259578711554*t+6.505718750386118,0.02325339891887207*t^2-0.824646877062811*t+8.762505457319554,0.02613683470237154*t^3-0.0147341085183686*t^2-3.201243302810349*t-2.823216304180497,0.05485442815612394*t^3-0.8778657512741921*t^2+0.1949557138903901*t+4.442041565869959,-0.03417128800560543*t^3+0.344757617588923*t^2+1.122454357951148*t-1.36863747442801,0.01507370558640251*t^4-0.2969351283809371*t^3+27.03283264187782*t^2+28.99730742451875*t+186.00386781739,0.0330690733008154*t^4+0.1846839366981477*t^3+0.9104060272102288*t^2+13.38390322494355*t+5.286329688905123,0.06507601595165433*t^4+0.1050800085896907*t^3+2.34290419056142*t^2+5.822062005992913*t+11.27314092424276,0.0006573024327759006*t^5-0.09312710824783368*t^4+1.102744626262899*t^3+8.37585209290258*t^2-21.91945838670792*t-50.90525428457187,0.001500542163547558*t^6-0.01140768971275555*t^5-0.265285110601048*t^4+1.66893668187751*t^3+7.368712927471238*t^2-7.120755979647116*t-14.68895578017703,0.02695896577487424*t^6-0.04711140232709268*t^5-1.02614743838242*t^4+8.471402181042095*t^3+5.757998461876696*t^2-131.7289832729638*t+602.4012472779493,0.01246363351728228*t^8-0.02006072245725177*t^7-1.404023987323888*t^6-0.1272387810741682*t^5-30.75584179244093*t^4+33.25796966419342*t^3+56.78592010141493*t^2+629.2711089572349*t-122.4925320544856,-0.004208568020508131*t^9+0.1128973474833943*t^8-6.882183122577938*t^7-5.387660550304441*t^6-116.8980758475565*t^5+348.756613382792*t^4-344.0060130708692*t^3+425.5218431981432*t^2+88.45536952171895*t+53.10749590749668,-0.0001562110535906439*t^10-0.02035558960522484*t^9-0.2634688508824975*t^8+20.51462589131753*t^7-19.60699400486458*t^6+695.9856361367628*t^5-20246.93530800407*t^4-29094.59683753543*t^3-708866.0698110972*t^2-1954671.757196553*t+6295958.867665978,-0.007110435141415387*t^12-0.32663069233412*t^11+4.459573956255619*t^10+157.7853939766862*t^9-768.2774927349474*t^8+853.3794763788235*t^7-56170.65502649109*t^6-281633.3196415859*t^5+2918616.904243073*t^4+7935747.804432*t^3-28229934.42338076*t^2-85539863.62097062*t-58704834.58052146,0.001976547854698893*t^12+0.01248542081139318*t^11-1.350958165519953*t^10-11.64153634134766*t^9+617.780946372407*t^8+26.38292748107799*t^7-11096.4993476506*t^6+18115.9724939062*t^5-282235.419955625*t^4-283015.760941922*t^3+5407069.819160536*t^2-235291.8816121996*t+4669886.993999586] Nearest singular point at t=0.19106032660775626521991520474880143620 oh_hash.push_restrict Te=0.19106032660775626521991520474880143620 t in [0,0.19106] N=19106,M=24 oooooooooooo monotonely increasing here. break. t = [0 -> 0.00288] (289) y0 = 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min(y0) = y0[259] DtY=PY has min Y = [ 0.2469720516896018 0.007380213664948431 1.052683822468091 0.0002397716372711909 ] at t=259/100000,X=[2.953073056669741,0.1993221007949679,0.8889481977962165,-0.4399865063442311,-0.3146131241684437,2.391339017897274,0.3779262498278443,5.571592116231939,0.2490699050925126] Step <20> Xp=[2.953073056669741,0.1993221007949679,0.8889481977962165,-0.4399865063442311,-0.3146131241684437,2.391339017897274,0.3779262498278443,5.571592116231939,0.2490699050925126] Yp=[ 0.2469720516896018 0.007380213664948431 1.052683822468091 0.0002397716372711909 ] Gp=-(grad f)(Xp)=[ 9.852937394616134e-05 -3.301732415546981e-06 -0.000173956624377432 -1.683740574455472e-05 -5.464091541657176e-06 -7.199983273213119e-05 -1.739276293082764e-05 -4.084529736991804e-06 2.522016710852662e-05 ] |Gp|=0.0002154818437560736 Gp=Normalize(-(grad f)(Xp))=[ 0.4572513963528965 -0.01532255506076213 -0.8072913306531366 -0.07813839649346391 -0.02535754960330927 -0.3341341037235383 -0.08071567714315793 -0.01895533129749673 0.1170407987462552 ] X(t)=[0.4572513963528965*t+2.953073056669741,-0.01532255506076213*t+0.1993221007949679,-0.8072913306531366*t+0.8889481977962165,-0.07813839649346391*t-0.4399865063442311,-0.02535754960330927*t-0.3146131241684437,-0.3341341037235383*t+2.391339017897274,-0.08071567714315793*t+0.3779262498278443,-0.01895533129749673*t+5.571592116231939,0.1170407987462552*t+0.2490699050925126] Singular locus = [0.1170407987462552*t+0.2490699050925126,-0.01895533129749673*t+5.571592116231939,-0.08071567714315793*t+0.3779262498278443,-0.3341341037235383*t+2.391339017897274,-0.07813839649346391*t-0.4399865063442311,-0.01532255506076213*t+0.1993221007949679,0.4572513963528965*t+2.953073056669741,-0.009301490493690908*t^2+1.86384918757736*t-13.40192628033177,0.006748614328454063*t^2+0.08471531597290582*t+0.2925695436640307,-0.01279205484683176*t^2-0.2099069949812916*t-0.8413765054905521,-0.03534034845540993*t^2-0.4321664809185927*t-1.362021646030321,0.7633648918188443*t^2-3.033336185849695*t+6.508731196883041,0.2093136201602637*t^2+2.694485309660196*t+8.760369777894088,-0.02502238639468767*t^3-0.1420105465154864*t^2-0.3258588092485418*t-2.831507622718549,-0.04005283419301541*t^3-0.3510946249114487*t^2+0.1226777681903399*t+4.442540613310729,0.02916418741385392*t^3-0.2259134478700165*t^2+0.986293418523678*t-1.365728005566033,0.001391148259392798*t^4-0.05210981007042025*t^3+4.056848894661218*t^2-48.39583392246617*t+186.0791521774059,0.2004652594727696*t^4-2.521223481243202*t^3+10.59402430342927*t^2-21.12019108871489*t+5.321000108562581,0.07372699937216899*t^4+0.4919022784242229*t^3-2.466840610196994*t^2-15.22266588905286*t+11.28823578310247,8.140508284684324e-06*t^5+0.007801852351200511*t^4+0.02055461278396012*t^3-10.11056161053164*t^2-71.11503106003346*t-50.96196947658514,-0.0006373580461450366*t^6+0.03767954506251626*t^5+0.4021255594832329*t^4-1.002749029231875*t^3-4.038738041331732*t^2+4.863961319539323*t-14.70734907911699,0.0003606546707047159*t^6+0.001250772648753696*t^5-0.6031846766090257*t^4-14.39396422248435*t^3+715.2681127462901*t^2-1284.718446621325*t+602.0601079836379,0.003464252922807613*t^8+0.1183823919074419*t^7-0.05303511367954011*t^6-6.060826298969579*t^5+33.55166002668791*t^4-80.67211431813425*t^3+436.9120215541942*t^2-1105.283575186296*t-120.8623383802164,2.484606657256462e-05*t^9-0.0003353708890441319*t^8-0.00100881889046669*t^7+0.02367677251058223*t^6-0.1029365722090136*t^5-1.124321663082455*t^4+0.4698142812361112*t^3+7.505344100588449*t^2+42.08212447323598*t+53.33944379656099,0.0003416640353980723*t^10-0.01992365970837031*t^9+1.023960807841507*t^8-4.750719261987134*t^7+0.07435452717443625*t^6-1336.078356743984*t^5+22457.03706301159*t^4+164368.3242106461*t^3-1617814.728937416*t^2+1838232.130055919*t+6290891.512163958,0.0009841096750934162*t^12+0.2284963702038948*t^11-0.5153386592643389*t^10-191.3266248584455*t^9+369.2402389304118*t^8+19185.23491682015*t^7-84083.00403975049*t^6-856802.3341566242*t^5+1766775.345773648*t^4+4238490.413904892*t^3-7750727.909174328*t^2+107239252.6362673*t-58926572.05851603,0.001865388569525441*t^12+0.01749658754061929*t^11-2.220104656710066*t^10-13.08486070397276*t^9+887.9825019226229*t^8-1104.476135941027*t^7+20560.21284209647*t^6+50020.45325452818*t^5-1398014.875923724*t^4-456859.9097294958*t^3+13417381.39799002*t^2-210156.4354412664*t+4669313.854261444] Nearest singular point at t=0.29173519111411364678249733363956548760 oh_hash.push_restrict Te=0.1461036348560698 t in [0,0.1461] N=14610,M=24 oooooooo monotonely increasing here. break. t = [0 -> 0.00192] (193) y0 = [0.2469720516896018,0.2469720495415668,0.2469720474070989,0.246972045286198,0.2469720431788641,0.2469720410850973,0.2469720390048974,0.2469720369382645,0.2469720348851987,0.2469720328456998,0.246972030819768,0.2469720288074032,0.2469720268086053,0.2469720248233745,0.2469720228517107,0.2469720208936139,0.2469720189490841,0.2469720170181214,0.2469720151007256,0.2469720131968968,0.246972011306635,0.2469720094299402,0.2469720075668125,0.2469720057172517,0.246972003881258,0.2469720020588312,0.2469720002499715,0.2469719984546788,0.2469719966729531,0.2469719949047943,0.2469719931502026,0.2469719914091779,0.2469719896817202,0.2469719879678295,0.2469719862675057,0.246971984580749,0.2469719829075593,0.2469719812479367,0.2469719796018809,0.2469719779693922,0.2469719763504706,0.2469719747451159,0.2469719731533282,0.2469719715751075,0.2469719700104538,0.2469719684593671,0.2469719669218474,0.2469719653978947,0.2469719638875091,0.2469719623906904,0.2469719609074387,0.246971959437754,0.2469719579816363,0.2469719565390856,0.2469719551101019,0.2469719536946852,0.2469719522928355,0.2469719509045528,0.2469719495298371,0.2469719481686884,0.2469719468211068,0.2469719454870921,0.2469719441666444,0.2469719428597636,0.2469719415664499,0.2469719402867032,0.2469719390205235,0.2469719377679108,0.2469719365288651,0.2469719353033863,0.2469719340914746,0.2469719328931299,0.2469719317083521,0.2469719305371414,0.2469719293794976,0.2469719282354209,0.2469719271049111,0.2469719259879684,0.2469719248845926,0.2469719237947838,0.246971922718542,0.2469719216558672,0.2469719206067594,0.2469719195712186,0.2469719185492448,0.246971917540838,0.2469719165459982,0.2469719155647254,0.2469719145970196,0.2469719136428807,0.2469719127023089,0.246971911775304,0.2469719108618662,0.2469719099619953,0.2469719090756914,0.2469719082029546,0.2469719073437847,0.2469719064981818,0.2469719056661459,0.2469719048476769,0.246971904042775,0.2469719032514401,0.2469719024736722,0.2469719017094712,0.2469719009588372,0.2469719002217703,0.2469718994982703,0.2469718987883373,0.2469718980919713,0.2469718974091723,0.2469718967399402,0.2469718960842752,0.2469718954421772,0.2469718948136461,0.2469718941986821,0.246971893597285,0.2469718930094549,0.2469718924351918,0.2469718918744957,0.2469718913273666,0.2469718907938045,0.2469718902738093,0.2469718897673812,0.24697188927452,0.2469718887952259,0.2469718883294987,0.2469718878773385,0.2469718874387453,0.2469718870137191,0.2469718866022598,0.2469718862043676,0.2469718858200423,0.2469718854492841,0.2469718850920928,0.2469718847484685,0.2469718844184112,0.2469718841019209,0.2469718837989975,0.2469718835096412,0.2469718832338518,0.2469718829716294,0.2469718827229741,0.2469718824878857,0.2469718822663643,0.2469718820584098,0.2469718818640224,0.2469718816832019,0.2469718815159485,0.246971881362262,0.2469718812221425,0.24697188109559,0.2469718809826045,0.2469718808831859,0.2469718807973344,0.2469718807250498,0.2469718806663322,0.2469718806211816,0.246971880589598,0.2469718805715814,0.2469718805671318,0.2469718805762491,0.2469718805989335,0.2469718806351848,0.2469718806850031,0.2469718807483884,0.2469718808253406,0.2469718809158599,0.2469718810199461,0.2469718811375994,0.2469718812688196,0.2469718814136067,0.2469718815719609,0.2469718817438821,0.2469718819293703,0.2469718821284254,0.2469718823410475,0.2469718825672366,0.2469718828069927,0.2469718830603157,0.2469718833272058,0.2469718836076628,0.2469718839016869,0.2469718842092779,0.2469718845304359,0.2469718848651608,0.2469718852134528,0.2469718855753117,0.2469718859507376,0.2469718863397306,0.2469718867422905,0.2469718871584173,0.2469718875881112,0.246971888031372] min(y0) = y0[159] DtY=PY has min Y = [ 0.2469718805671318 0.007370206178495289 1.052688020208776 0.0002425514027540129 ] at t=159/100000,X=[2.953800086389942,0.1992977379324213,0.887664604580478,-0.4401107463946557,-0.3146534426723129,2.390807744672354,0.3777979119011867,5.571561977255175,0.2492559999625191] Step <21> Xp=[2.953800086389942,0.1992977379324213,0.887664604580478,-0.4401107463946557,-0.3146534426723129,2.390807744672354,0.3777979119011867,5.571561977255175,0.2492559999625191] Yp=[ 0.2469718805671318 0.007370206178495289 1.052688020208776 0.0002425514027540129 ] Gp=-(grad f)(Xp)=[ -1.916878827275649e-05 5.921570589284358e-06 -3.777660400990698e-05 0.0001124170098436607 -2.558397734606468e-05 4.604597937454998e-05 2.448988797254525e-06 -5.990906382841166e-06 1.478596085983247e-05 ] |Gp|=0.0001322968201136053 Gp=Normalize(-(grad f)(Xp))=[ -0.1448922827948242 0.04475973484622997 -0.2855443084532767 0.849733272100769 -0.1933831616216877 0.348050537684954 0.01851132019009634 -0.04528382751525458 0.1117635393438447 ] X(t)=[-0.1448922827948242*t+2.953800086389942,0.04475973484622997*t+0.1992977379324213,-0.2855443084532767*t+0.887664604580478,0.849733272100769*t-0.4401107463946557,-0.1933831616216877*t-0.3146534426723129,0.348050537684954*t+2.390807744672354,0.01851132019009634*t+0.3777979119011867,-0.04528382751525458*t+5.571561977255175,0.1117635393438447*t+0.2492559999625191] Singular locus = [0.1117635393438447*t+0.2492559999625191,-0.04528382751525458*t+5.571561977255175,0.01851132019009634*t+0.3777979119011867,0.348050537684954*t+2.390807744672354,0.849733272100769*t-0.4401107463946557,0.04475973484622997*t+0.1992977379324213,-0.1448922827948242*t+2.953800086389942,-0.005852126077225493*t^2-1.914288912142542*t-13.39896278363862,0.7594436809138793*t^2-0.6262561341230445*t+0.2927042580775995,-0.01001410820780303*t^2-0.6752750225704561*t-0.8417102899521662,-0.1317755725993083*t^2+2.521086231939427*t-1.362708880078917,0.2026747288728457*t^2+1.157308690762362*t+6.503910122210323,0.02299720747700013*t^2-0.8381246470625583*t+8.764654538702208,0.02193517404852592*t^3+0.0005322031791162481*t^2-2.940711742702599*t-2.832026097342698,0.04541299749581269*t^3-0.7627787185921281*t^2-0.07132906803033787*t+4.44273478319883,-0.02684027546276773*t^3+0.2917082822792542*t^2+1.136381029567724*t-1.364160370045138,0.009089125183256335*t^4-0.3172690746834809*t^3+27.16440778342079*t^2+28.77186792276366*t+186.0022130573794,0.03551174078600262*t^4+0.1745318517485429*t^3+0.9275941141791968*t^2+13.51237446346197*t+5.287445777351135,0.06797209559449838*t^4+0.1100238059341743*t^3+2.444663163504776*t^2+5.84940962369955*t+11.26402550989689,0.0004626218897468037*t^5-0.07010800878651458*t^4+0.8190416674656551*t^3+6.732195776535068*t^2-14.46932400137441*t-51.07506793639872,0.001182769387950347*t^6-0.006112762129872557*t^5-0.2448172909415352*t^4+1.153715233107998*t^3+6.502194371206345*t^2-6.281036248404349*t-14.69962559498072,0.02902642598871542*t^6-0.05203555242800504*t^5-1.056735496997784*t^4+8.987264061438866*t^3+5.275486816993398*t^2-139.8072687333654*t+600.0192138649628,0.01006717521514883*t^8-0.01203642600814123*t^7-1.407820668692286*t^6-0.2035984382462983*t^5-31.09255940048866*t^4+24.03324560752844*t^3+37.36613703287912*t^2+617.6868409655276*t-122.6186350315424,-0.002883761607070622*t^9+0.1186148172580821*t^8-7.021828905179348*t^7-4.269251780897083*t^6-120.1110387880973*t^5+357.4381654197315*t^4-369.2043569997543*t^3+407.2756928983866*t^2+78.63601676926588*t+53.40637335061517,-8.622908423437547e-05*t^10-0.01264305713155546*t^9-0.159507435401028*t^8+18.25276871815705*t^7-22.82988973853922*t^6+487.4715954562633*t^5-18413.22020365778*t^4-28271.47841917003*t^3-617978.3209713197*t^2-1855535.134592564*t+6293810.21191418,-0.006513137577241256*t^12-0.273627674539214*t^11+3.891081285391929*t^10+139.3333776837487*t^9-566.8198384471118*t^8+643.8351198823553*t^7-53728.68420486199*t^6-274256.5290302418*t^5+2604452.304718044*t^4+7916476.476982959*t^3-23837648.42450268*t^2-80832372.33113192*t-58756081.22439097,0.001708778653705879*t^12+0.01638345690912608*t^11-1.615032357180211*t^10-12.44890930571114*t^9+642.0649244800207*t^8+4.546179955676764*t^7-11389.65792828459*t^6+19785.0227252428*t^5-291915.1436683304*t^4-296704.6721300654*t^3+5428216.178117405*t^2-254190.9702426112*t+4669013.624165654] Nearest singular point at t=0.19597102063029468445037247419906911000 oh_hash.push_restrict Te=0.19597102063029468445037247419906911000 t in [0,0.19597] N=19597,M=24 ooooooooooo monotonely increasing here. break. t = [0 -> 0.00264] (265) y0 = 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min(y0) = y0[227] DtY=PY has min Y = [ 0.2469717305914266 0.007377173016029355 1.052654970265795 0.0002415967632425553 ] at t=227/100000,X=[2.953471180907998,0.1993993425305222,0.887016419000289,-0.438181851866987,-0.3150924224491942,2.391597819392898,0.3778399325980182,5.571459182966715,0.2495097031968297] Step <22> Xp=[2.953471180907998,0.1993993425305222,0.887016419000289,-0.438181851866987,-0.3150924224491942,2.391597819392898,0.3778399325980182,5.571459182966715,0.2495097031968297] Yp=[ 0.2469717305914266 0.007377173016029355 1.052654970265795 0.0002415967632425553 ] Gp=-(grad f)(Xp)=[ 8.636374959444587e-05 -3.609670844917931e-06 -0.0001534730273893238 -1.387947137556841e-05 -2.029132337220518e-06 -6.322878238351586e-05 -1.383187534270691e-05 -3.659592125532241e-06 1.960087918939028e-05 ] |Gp|=0.0001892332977678417 Gp=Normalize(-(grad f)(Xp))=[ 0.456387700331683 -0.01907524144797396 -0.8110254865272712 -0.07334581989157245 -0.01072291378502494 -0.3341313771379033 -0.07309429950154102 -0.01933904956844309 0.1035804978330894 ] X(t)=[0.456387700331683*t+2.953471180907998,-0.01907524144797396*t+0.1993993425305222,-0.8110254865272712*t+0.887016419000289,-0.07334581989157245*t-0.438181851866987,-0.01072291378502494*t-0.3150924224491942,-0.3341313771379033*t+2.391597819392898,-0.07309429950154102*t+0.3778399325980182,-0.01933904956844309*t+5.571459182966715,0.1035804978330894*t+0.2495097031968297] Singular locus = [0.1035804978330894*t+0.2495097031968297,-0.01933904956844309*t+5.571459182966715,-0.07309429950154102*t+0.3778399325980182,-0.3341313771379033*t+2.391597819392898,-0.07334581989157245*t-0.438181851866987,-0.01907524144797396*t+0.1993993425305222,0.456387700331683*t+2.953471180907998,-0.007572468012916243*t^2+1.872537657232678*t-13.4033082496246,0.005494590175608063*t^2+0.07103503213405814*t+0.2912865699904836,-0.006292895186833789*t^2-0.1692074392717006*t-0.8432432158550994,-0.03326958789978141*t^2-0.4127332509125802*t-1.356986693358762,0.7694061169848687*t^2-3.037001591462286*t+6.506538257300963,0.2086535978503406*t^2+2.688248659294329*t+8.762752114255688,-0.02183516895909368*t^3-0.1039107752512659*t^2-0.2008495802645892*t-2.838701509999667,-0.03564788648236084*t^3-0.3407520305762207*t^2-0.00706472896310778*t+4.442568936223141,0.02595716954067345*t^3-0.2127959622532595*t^2+0.9928190312020218*t-1.361579282278364,0.001083044381613354*t^4-0.04409298444896118*t^3+4.003344995938329*t^2-48.73055796228277*t+186.06766516933,0.203543676088157*t^4-2.547654743894811*t^3+10.62318986968058*t^2-21.02419250538362*t+5.318123649225361,0.07322300859273322*t^4+0.48567273817617*t^3-2.482745832053443*t^2-15.20994720691299*t+11.27731626813626,-9.573420456197075e-06*t^5+0.006163151629511756*t^4+0.07511612451865443*t^3-9.110313208282367*t^2-67.46468275671798*t-51.10787860197169,-0.0005076587411959767*t^6+0.02284379243740798*t^5+0.3485909553174284*t^4-0.7878745599301655*t^3-3.659302424316104*t^2+5.216705097634194*t-14.71385002861862,0.0002736267928553619*t^6+0.004676146863716119*t^5-0.6181477002809443*t^4-15.14405217123045*t^3+718.7949853261846*t^2-1285.889893212288*t+599.7018786540907,0.002953634297517854*t^8+0.08827882787825365*t^7+0.1266170402209287*t^6-6.851866429807489*t^5+36.22307142065078*t^4-92.50624205273435*t^3+454.5514852508422*t^2-1110.232369297615*t-121.2162930782902,1.863931759098108e-05*t^9-0.0002653638090760175*t^8-0.0005900726877547234*t^7+0.01907993301110402*t^6-0.08028438355410535*t^5-0.8795970493078653*t^4+0.3279884758693044*t^3+4.225970192058149*t^2+35.95946956004805*t+53.58697145046891,9.404286343116721e-05*t^10-0.01522346840725577*t^9+0.9826355181151964*t^8-4.397119124364042*t^7-35.40586993253828*t^6-761.8177983910548*t^5+16535.95284410116*t^4+181342.6161836564*t^3-1648107.38140689*t^2+1880807.430347344*t+6289594.962446982,9.387736938258144e-05*t^12+0.2029094665704283*t^11+0.4809349910567469*t^10-178.510948920895*t^9+171.0817356280303*t^8+18777.68496318539*t^7-60572.66140221136*t^6-857001.5852149244*t^5+1703363.822193633*t^4+3936407.187690829*t^3-11482326.79835163*t^2+109599879.0509396*t-58939693.44993228,0.00170200836485896*t^12+0.01924187017604331*t^11-2.278602117311975*t^10-13.98187631131613*t^9+902.4561488150495*t^8-1184.783842429843*t^7+20352.31590608147*t^6+53192.32546491905*t^5-1398540.273968571*t^4-483050.5880682936*t^3+13396909.77881073*t^2-204020.9340621131*t+4668464.578240009] Nearest singular point at t=0.29348232247871743876379089032056537682 oh_hash.push_restrict Te=0.14304904214177 t in [0,0.14305] N=14305,M=24 ooooooo monotonely increasing here. break. t = [0 -> 0.00168] (169) y0 = [0.2469717305914266,0.2469717287058665,0.246971726833852,0.2469717249753832,0.2469717231304601,0.2469717212990827,0.2469717194812509,0.2469717176769648,0.2469717158862244,0.2469717141090297,0.2469717123453807,0.2469717105952773,0.2469717088587196,0.2469717071357076,0.2469717054262413,0.2469717037303206,0.2469717020479456,0.2469717003791163,0.2469716987238326,0.2469716970820947,0.2469716954539024,0.2469716938392557,0.2469716922381548,0.2469716906505995,0.2469716890765899,0.2469716875161259,0.2469716859692077,0.2469716844358351,0.2469716829160082,0.2469716814097269,0.2469716799169913,0.2469716784378014,0.2469716769721572,0.2469716755200586,0.2469716740815057,0.2469716726564985,0.246971671245037,0.2469716698471211,0.2469716684627508,0.2469716670919263,0.2469716657346474,0.2469716643909142,0.2469716630607267,0.2469716617440848,0.2469716604409886,0.246971659151438,0.2469716578754332,0.246971656612974,0.2469716553640605,0.2469716541286926,0.2469716529068704,0.2469716516985939,0.246971650503863,0.2469716493226778,0.2469716481550382,0.2469716470009444,0.2469716458603962,0.2469716447333936,0.2469716436199367,0.2469716425200255,0.24697164143366,0.2469716403608401,0.2469716393015658,0.2469716382558373,0.2469716372236544,0.2469716362050172,0.2469716351999256,0.2469716342083797,0.2469716332303795,0.2469716322659249,0.246971631315016,0.2469716303776527,0.2469716294538352,0.2469716285435632,0.246971627646837,0.2469716267636564,0.2469716258940214,0.2469716250379321,0.2469716241953885,0.2469716233663906,0.2469716225509383,0.2469716217490316,0.2469716209606707,0.2469716201858553,0.2469716194245857,0.2469716186768617,0.2469716179426834,0.2469716172220507,0.2469716165149637,0.2469716158214223,0.2469716151414266,0.2469716144749766,0.2469716138220722,0.2469716131827135,0.2469716125569004,0.246971611944633,0.2469716113459113,0.2469716107607352,0.2469716101891047,0.24697160963102,0.2469716090864809,0.2469716085554874,0.2469716080380396,0.2469716075341375,0.246971607043781,0.2469716065669701,0.246971606103705,0.2469716056539855,0.2469716052178116,0.2469716047951834,0.2469716043861009,0.246971603990564,0.2469716036085727,0.2469716032401272,0.2469716028852272,0.246971602543873,0.2469716022160643,0.2469716019018014,0.2469716016010841,0.2469716013139124,0.2469716010402865,0.2469716007802061,0.2469716005336714,0.2469716003006824,0.246971600081239,0.2469715998753413,0.2469715996829892,0.2469715995041828,0.2469715993389221,0.246971599187207,0.2469715990490375,0.2469715989244137,0.2469715988133356,0.2469715987158031,0.2469715986318163,0.2469715985613751,0.2469715985044795,0.2469715984611296,0.2469715984313254,0.2469715984150669,0.2469715984123539,0.2469715984231867,0.2469715984475651,0.2469715984854891,0.2469715985369588,0.2469715986019741,0.2469715986805351,0.2469715987726418,0.2469715988782941,0.246971598997492,0.2469715991302356,0.2469715992765249,0.2469715994363598,0.2469715996097403,0.2469715997966665,0.2469715999971384,0.2469716002111559,0.246971600438719,0.2469716006798278,0.2469716009344823,0.2469716012026824,0.2469716014844282,0.2469716017797196,0.2469716020885566,0.2469716024109394,0.2469716027468677,0.2469716030963417,0.2469716034593614,0.2469716038359267] min(y0) = y0[140] DtY=PY has min Y = [ 0.2469715984123539 0.007368643847507537 1.052658777869966 0.0002439446916168142 ] at t=7/5000,X=[2.954110123688462,0.199372637192495,0.8858809833191509,-0.4382845360148352,-0.3151074345284932,2.391130035464905,0.377737600578716,5.571432108297319,0.249654715893796] Step <23> Xp=[2.954110123688462,0.199372637192495,0.8858809833191509,-0.4382845360148352,-0.3151074345284932,2.391130035464905,0.377737600578716,5.571432108297319,0.249654715893796] Yp=[ 0.2469715984123539 0.007368643847507537 1.052658777869966 0.0002439446916168142 ] Gp=-(grad f)(Xp)=[ -1.727278297776252e-05 4.608606587172114e-06 -3.365331873643462e-05 9.972878422949416e-05 -2.008755074858889e-05 4.068880343624515e-05 3.447930851784714e-06 -5.362274336034867e-06 1.075807967601127e-05 ] |Gp|=0.0001166766106124993 Gp=Normalize(-(grad f)(Xp))=[ -0.1480398075251607 0.03949897552713452 -0.2884324335423351 0.8547452973304867 -0.1721643321925307 0.3487314485966584 0.0295511742557882 -0.04595843423875065 0.09220425258786849 ] X(t)=[-0.1480398075251607*t+2.954110123688462,0.03949897552713452*t+0.199372637192495,-0.2884324335423351*t+0.8858809833191509,0.8547452973304867*t-0.4382845360148352,-0.1721643321925307*t-0.3151074345284932,0.3487314485966584*t+2.391130035464905,0.0295511742557882*t+0.377737600578716,-0.04595843423875065*t+5.571432108297319,0.09220425258786849*t+0.249654715893796] Singular locus = [0.09220425258786849*t+0.249654715893796,-0.04595843423875065*t+5.571432108297319,0.0295511742557882*t+0.377737600578716,0.3487314485966584*t+2.391130035464905,0.8547452973304867*t-0.4382845360148352,0.03949897552713452*t+0.199372637192495,-0.1480398075251607*t+2.954110123688462,0.0001528677752119789*t^2-1.905076880319396*t-13.40068671174651,0.7602300805878821*t^2-0.6407427700337101*t+0.291386029804868,-0.008274388980710139*t^2-0.615044986605364*t-0.8434801186041543,-0.1333366440437597*t^2+2.543124016587417*t-1.357564585118432,0.2048068919594774*t^2+1.156690866406072*t+6.502287963108905,0.02347595367977979*t^2-0.8589017584034437*t+8.766516071339753,0.01835182078706699*t^3+0.01170251179072611*t^2-2.752597518629665*t-2.838982903137071,0.03845282845000267*t^3-0.6787721899143133*t^2-0.2566512507460849*t+4.442558377630795,-0.02110994500443051*t^3+0.2541856286875294*t^2+1.142555899448598*t-1.360189752643541,0.0058623627503887*t^4-0.3367587424481707*t^3+27.23318363673527*t^2+28.55578666079837*t+185.999450234618,0.03653512070484959*t^4+0.1638119090329377*t^3+0.9352538413446354*t^2+13.6395097805317*t+5.288710594179987,0.0689839119008134*t^4+0.1096584294019833*t^3+2.500935656737688*t^2+5.897728859919797*t+11.25601747719772,0.0003515827269653245*t^5-0.0542502459431692*t^4+0.6000708340839094*t^3+5.556000111117866*t^2-8.981521042673911*t-51.20234701383882,0.0009133602861060403*t^6-0.002901199501882631*t^5-0.2280315544092218*t^4+0.8193503294820664*t^3+5.882756423529243*t^2-5.694260536937715*t-14.70655381587527,0.02967620632956902*t^6-0.05489949700118193*t^5-1.043160137419933*t^4+9.196620904724366*t^3+4.560691668821894*t^2-141.958560293813*t+597.903041600207,0.00795003156725857*t^8-0.00584327356531416*t^7-1.416133764212316*t^6-0.230244196472144*t^5-31.22774408253616*t^4+17.46508725278166*t^3+23.76492977250248*t^2+611.9383634664219*t-122.7697277280934,-0.002089282375116419*t^9+0.1225164794528069*t^8-7.10354198526693*t^7-3.61894632691322*t^6-122.5763300902061*t^5+363.7789044345133*t^4-386.0946711204767*t^3+394.0027369527012*t^2+71.63933800330578*t+53.63732299165113,-5.603720552273305e-05*t^10-0.007971543301149899*t^9-0.09180553673020818*t^8+16.2954706910841*t^7-24.31074364970211*t^6+345.9778292996302*t^5-16894.68701996529*t^4-27348.03553291828*t^3-555150.6686919114*t^2-1798897.544333825*t+6292224.863056663,-0.005783649251384187*t^12-0.2359336680285083*t^11+3.347262617172643*t^10+125.3017611746471*t^9-421.055718399047*t^8+616.5223582337676*t^7-51676.49681993043*t^6-272160.2283427932*t^5+2363723.93719019*t^4+7923980.600488599*t^3-20731070.07908471*t^2-77661286.8506566*t-58786276.11381347,0.001522024036252694*t^12+0.01852520089367728*t^11-1.712021882401784*t^10-13.30343183772615*t^9+658.325297338818*t^8-12.57571267307687*t^7-11583.15035717202*t^6+21472.16377515141*t^5-299636.7392122228*t^4-313903.2392106262*t^3+5477615.451845181*t^2-270963.1259360211*t+4668205.205544619] Nearest singular point at t=0.19894277016027571995348080137916249004 oh_hash.push_restrict Te=0.19894277016027571995348080137916249004 t in [0,0.19894] N=19894,M=24 oooooooooo monotonely increasing here. break. t = [0 -> 0.0024] (241) y0 = 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min(y0) = y0[199] DtY=PY has min Y = [ 0.2469714825522193 0.007375350739827495 1.052629772612229 0.0002428962163604321 ] at t=199/100000,X=[2.953815524471487,0.199451240153794,0.8853070027764016,-0.4365835928731475,-0.3154500415495564,2.391824011047613,0.377796407415485,5.571340651013184,0.2498382023564458] Step <24> Xp=[2.953815524471487,0.199451240153794,0.8853070027764016,-0.4365835928731475,-0.3154500415495564,2.391824011047613,0.377796407415485,5.571340651013184,0.2498382023564458] Yp=[ 0.2469714825522193 0.007375350739827495 1.052629772612229 0.0002428962163604321 ] Gp=-(grad f)(Xp)=[ 7.569647630529391e-05 -3.589891159935148e-06 -0.0001354108578871414 -1.15023623299508e-05 -1.031584913925858e-07 -5.561568914452808e-05 -1.127742668220744e-05 -3.346307379886726e-06 1.567185698283645e-05 ] |Gp|=0.0001663981651464884 Gp=Normalize(-(grad f)(Xp))=[ 0.4549117247696489 -0.02157410303638139 -0.8137761481199786 -0.0691255358484555 -0.0006199496929654865 -0.3342325866127603 -0.06777374421334134 -0.0201102420627103 0.09418287136183115 ] X(t)=[0.4549117247696489*t+2.953815524471487,-0.02157410303638139*t+0.199451240153794,-0.8137761481199786*t+0.8853070027764016,-0.0691255358484555*t-0.4365835928731475,-0.0006199496929654865*t-0.3154500415495564,-0.3342325866127603*t+2.391824011047613,-0.06777374421334134*t+0.377796407415485,-0.0201102420627103*t+5.571340651013184,0.09418287136183115*t+0.2498382023564458] Singular locus = [0.09418287136183115*t+0.2498382023564458,-0.0201102420627103*t+5.571340651013184,-0.06777374421334134*t+0.377796407415485,-0.3342325866127603*t+2.391824011047613,-0.0691255358484555*t-0.4365835928731475,-0.02157410303638139*t+0.199451240153794,0.4549117247696489*t+2.953815524471487,-0.00677988686421177*t^2+1.880358878721338*t-13.40447781413298,0.004778724043957915*t^2+0.06074927591280972*t+0.2901139622796431,-0.001773343816936998*t^2-0.1409648650728078*t-0.8447040908949068,-0.03143264187989368*t^2-0.3961091742025059*t-1.352504296351867,0.7739430412028456*t^2-3.039734497115949*t+6.504590588988826,0.2074101192547212*t^2+2.678844666565754*t+8.764806949807653,-0.01958253882120722*t^3-0.0772894674743646*t^2-0.1148586548684241*t-2.844460525711404,-0.0324936434755318*t^3-0.3324334209060026*t^2-0.09799505851269016*t+4.442044953939092,0.02370277263926056*t^3-0.2041305675272205*t^2+0.998342859818215*t-1.357915059969489,0.0008982435764788774*t^4-0.03998294411571864*t^3+3.981229705789122*t^2-49.03735150821409*t+186.0563840935498,0.2059487278649064*t^4-2.567979506849509*t^3+10.64091536257599*t^2-20.93859855040271*t+5.31585692363349,0.07241812010846396*t^4+0.4807665783932772*t^3-2.484499225112656*t^2-15.20101719858581*t+11.26776386244951,-1.752302985639771e-05*t^5+0.004981013401562192*t^4+0.114328839027468*t^3-8.379488193346994*t^2-64.87572261419137*t-51.22019823366962,-0.0004246328034511459*t^6+0.01390978253731075*t^5+0.3106015381132912*t^4-0.6419763193793018*t^3-3.396214828850613*t^2+5.460279696234759*t-14.71786209158668,0.0002223764285809086*t^6+0.006543882053267494*t^5-0.5961083662381998*t^4-15.91526586782103*t^3+721.5450580278615*t^2-1286.287698256622*t+597.6205621984758,0.002603541337466712*t^8+0.06704056150195814*t^7+0.257352185897829*t^6-7.416349598854606*t^5+38.17472035168984*t^4-101.3165602661616*t^3+467.1105558830336*t^2-1112.528480814116*t-121.5518761361513,1.4975798199903e-05*t^9-0.0002206462353061333*t^8-0.0003607578368056616*t^7+0.01587281072953454*t^6-0.06553578180558395*t^5-0.7226330809025863*t^4+0.3326136539255069*t^3+1.986218679673364*t^2+31.55749860697774*t+53.78144252756016,-1.949884032839438e-05*t^10-0.0132119727100527*t^9+0.9578273826923168*t^8-4.061899929975135*t^7-61.97627142951865*t^6-354.226287310384*t^5+12136.33828332341*t^4+194294.4342215524*t^3-1667734.823124676*t^2+1901680.805609192*t+6288642.858275489,-0.0004844448659076306*t^12+0.1824401253118628*t^11+1.218366942044266*t^10-168.1982409560349*t^9+23.5783225189212*t^8+18383.21546991282*t^7-43560.14633857554*t^6-855888.3475666656*t^5+1654765.930751829*t^4+3744283.659220911*t^3-14135262.9179424*t^2+111205145.0767554*t-58940904.10927404,0.001582527832445321*t^12+0.0205113393100534*t^11-2.274122238766544*t^10-14.97656013314851*t^9+913.8014674702355*t^8-1259.715992116151*t^7+19920.22764526828*t^6+56423.05014251278*t^5-1392872.152895109*t^4-511259.8676565826*t^3+13358003.35437871*t^2-204146.7687528523*t+4667687.678350495] Nearest singular point at t=0.29504112505229558777443244482127399888 oh_hash.push_restrict Te=0.1404649215149384 t in [0,0.14046] N=14046,M=24 oooooo monotonely increasing here. break. t = [0 -> 0.00144] (145) y0 = [0.2469714825522193,0.2469714808949918,0.2469714792512723,0.246971477621061,0.2469714760043579,0.2469714744011628,0.246971472811476,0.2469714712352972,0.2469714696726266,0.2469714681234642,0.2469714665878098,0.2469714650656636,0.2469714635570256,0.2469714620618957,0.2469714605802739,0.2469714591121603,0.2469714576575548,0.2469714562164574,0.2469714547888682,0.2469714533747872,0.2469714519742142,0.2469714505871494,0.2469714492135928,0.2469714478535442,0.2469714465070039,0.2469714451739716,0.2469714438544475,0.2469714425484315,0.2469714412559236,0.2469714399769239,0.2469714387114323,0.2469714374594489,0.2469714362209736,0.2469714349960064,0.2469714337845474,0.2469714325865965,0.2469714314021537,0.246971430231219,0.2469714290737925,0.2469714279298741,0.2469714267994639,0.2469714256825618,0.2469714245791678,0.2469714234892819,0.2469714224129042,0.2469714213500346,0.2469714203006732,0.2469714192648199,0.2469714182424746,0.2469714172336376,0.2469714162383086,0.2469714152564878,0.2469714142881752,0.2469714133333706,0.2469714123920742,0.2469714114642859,0.2469714105500057,0.2469714096492337,0.2469714087619698,0.246971407888214,0.2469714070279664,0.2469714061812269,0.2469714053479955,0.2469714045282722,0.2469714037220571,0.2469714029293501,0.2469714021501512,0.2469714013844604,0.2469714006322778,0.2469713998936033,0.2469713991684369,0.2469713984567787,0.2469713977586286,0.2469713970739865,0.2469713964028527,0.2469713957452269,0.2469713951011093,0.2469713944704998,0.2469713938533984,0.2469713932498052,0.24697139265972,0.246971392083143,0.2469713915200742,0.2469713909705134,0.2469713904344608,0.2469713899119163,0.2469713894028799,0.2469713889073517,0.2469713884253315,0.2469713879568195,0.2469713875018156,0.2469713870603198,0.2469713866323322,0.2469713862178527,0.2469713858168813,0.246971385429418,0.2469713850554628,0.2469713846950158,0.2469713843480769,0.2469713840146461,0.2469713836947234,0.2469713833883089,0.2469713830954025,0.2469713828160041,0.2469713825501139,0.2469713822977319,0.2469713820588579,0.2469713818334921,0.2469713816216344,0.2469713814232848,0.2469713812384433,0.24697138106711,0.2469713809092848,0.2469713807649677,0.2469713806341587,0.2469713805168578,0.246971380413065,0.2469713803227804,0.2469713802460039,0.2469713801827355,0.2469713801329752,0.246971380096723,0.246971380073979,0.2469713800647431,0.2469713800690153,0.2469713800867956,0.246971380118084,0.2469713801628805,0.2469713802211852,0.246971380292998,0.2469713803783189,0.2469713804771479,0.246971380589485,0.2469713807153303,0.2469713808546836,0.2469713810075451,0.2469713811739147,0.2469713813537925,0.2469713815471783,0.2469713817540722,0.2469713819744743,0.2469713822083845,0.2469713824558028,0.2469713827167292,0.2469713829911637] min(y0) = y0[123] DtY=PY has min Y = [ 0.2469713800647431 0.007368034674591165 1.052633060994775 0.0002448965811542459 ] at t=123/100000,X=[2.954375065892954,0.1994247040070593,0.884306058114214,-0.4366686172822411,-0.3154508040876787,2.391412904966079,0.3777130457101026,5.571315915415447,0.2499540472882209] Step <25> Xp=[2.954375065892954,0.1994247040070593,0.884306058114214,-0.4366686172822411,-0.3154508040876787,2.391412904966079,0.3777130457101026,5.571315915415447,0.2499540472882209] Yp=[ 0.2469713800647431 0.007368034674591165 1.052633060994775 0.0002448965811542459 ] Gp=-(grad f)(Xp)=[ -1.526741242223158e-05 3.680254758080888e-06 -3.027705761176561e-05 8.810053138333992e-05 -1.616377594725271e-05 3.558086898695391e-05 3.775317416392782e-06 -4.853787501590823e-06 8.119103947029811e-06 ] |Gp|=0.0001027425910669742 Gp=Normalize(-(grad f)(Xp))=[ -0.1485986703632899 0.03582014741755796 -0.2946884762914836 0.8574879265592045 -0.1573230320492515 0.3463108007832899 0.03674539815656187 -0.0472422142675652 0.07902374139792974 ] X(t)=[-0.1485986703632899*t+2.954375065892954,0.03582014741755796*t+0.1994247040070593,-0.2946884762914836*t+0.884306058114214,0.8574879265592045*t-0.4366686172822411,-0.1573230320492515*t-0.3154508040876787,0.3463108007832899*t+2.391412904966079,0.03674539815656187*t+0.3777130457101026,-0.0472422142675652*t+5.571315915415447,0.07902374139792974*t+0.2499540472882209] Singular locus = [0.07902374139792974*t+0.2499540472882209,-0.0472422142675652*t+5.571315915415447,0.03674539815656187*t+0.3777130457101026,0.3463108007832899*t+2.391412904966079,0.8574879265592045*t-0.4366686172822411,0.03582014741755796*t+0.1994247040070593,-0.1485986703632899*t+2.954375065892954,0.003928234453178005*t^2-1.880682866583942*t-13.40216498296944,0.7600360806079735*t^2-0.6496207805307513*t+0.2901886911187475,-0.007337350558086812*t^2-0.5732784148245522*t-0.8448774803618384,-0.1330568999394535*t^2+2.555555732042957*t-1.35299155819058,0.2067724687981598*t^2+1.135154626562581*t+6.500852886455801,0.02336464779475327*t^2-0.8637455684998282*t+8.7681022425383,0.01624861857325616*t^3+0.01918126515739554*t^2-2.619961167843006*t-2.844601918824569,0.03355171353984982*t^3-0.6192224671013361*t^2-0.3858959294668552*t+4.441923917018133,-0.01746263295283844*t^3+0.2276008458851987*t^2+1.152106931129372*t-1.35668740703694,0.00425054046304434*t^4-0.3572392920037004*t^3+27.18940871483817*t^2+27.95870322007168*t+185.9960741743227,0.03788447938347415*t^4+0.1631066594788238*t^3+0.8941448922252002*t^2+13.60254037674234*t+5.290118541279152,0.07077728481699866*t^4+0.1102260454123832*t^3+2.525406984604177*t^2+5.839159331054913*t+11.24906285339118,0.0002838025536066916*t^5-0.04311712316300017*t^4+0.4548147420163189*t^3+4.729377496117126*t^2-5.474099189669261*t-51.30000804959998,0.0007378237988230758*t^6-0.001138354585912754*t^5-0.2142308270302675*t^4+0.5991096088335007*t^3+5.423529416530385*t^2-5.246943078758777*t-14.71115108688764,0.03151129665464323*t^6-0.05850380749490403*t^5-1.112894337569136*t^4+9.558503334287714*t^3+4.943866389573648*t^2-150.5082468619971*t+596.0395199255207,0.006502718600916974*t^8-0.00221717599098125*t^7-1.387583719970156*t^6-0.2438684780726907*t^5-30.48757281449378*t^4+13.66717629908993*t^3+10.79188204053132*t^2+601.7791078385751*t-122.9195796644421,-0.001646067410158979*t^9+0.1259991775864468*t^8-7.115298837201589*t^7-2.646584420908032*t^6-123.9891327152021*t^5+366.2562212400262*t^4-395.2461734682626*t^3+383.295441921362*t^2+67.01038745158363*t+53.82026125641433,-4.514012657668509e-05*t^10-0.005362717352135475*t^9-0.05115567097596997*t^8+15.00952404008097*t^7-24.47276845366027*t^6+278.7309874717881*t^5-15927.01800286266*t^4-25669.15691728394*t^3-497179.9449666969*t^2-1758554.616680027*t+6290979.402911959,-0.005582749580658901*t^12-0.2209533764608918*t^11+2.997265912280052*t^10+116.5046603763345*t^9-341.0507338902164*t^8+453.6632661832872*t^7-47997.30660514874*t^6-265078.0796022021*t^5+2137671.698718068*t^4+7821828.176316149*t^3-18206987.26884329*t^2-74748682.62612712*t-58804143.15909754,0.001546798202532185*t^12+0.0207889780798719*t^11-1.816472676087302*t^10-13.87899792927358*t^9+656.903765387451*t^8-19.5745838311249*t^7-11648.95476637284*t^6+22586.08585719723*t^5-295187.0805849021*t^4-327690.1718016159*t^3+5413670.361198124*t^2-288234.9987402184*t+4667456.786193653] Nearest singular point at t=0.20341415388563601786645683121398549050 oh_hash.push_restrict Te=0.20341415388563601786645683121398549050 t in [0,0.20341] N=20341,M=24 ooooooooo monotonely increasing here. break. t = [0 -> 0.00216] (217) y0 = 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min(y0) = y0[177] DtY=PY has min Y = [ 0.2469712892053845 0.007374305942912587 1.052607038602366 0.000243848226672986 ] at t=177/100000,X=[2.954112046246411,0.1994881056679884,0.8837844595111781,-0.4351508636522313,-0.3157292658544059,2.392025875083466,0.3777780850648397,5.571232296696193,0.2500939193104952] Step <26> Xp=[2.954112046246411,0.1994881056679884,0.8837844595111781,-0.4351508636522313,-0.3157292658544059,2.392025875083466,0.3777780850648397,5.571232296696193,0.2500939193104952] Yp=[ 0.2469712892053845 0.007374305942912587 1.052607038602366 0.000243848226672986 ] Gp=-(grad f)(Xp)=[ 6.695960799132797e-05 -3.458591207199753e-06 -0.0001201372307472809 -1.033551238064333e-05 1.068422560693695e-06 -4.96344092231326e-05 -9.473888496175364e-06 -3.08821755823363e-06 1.285854543781669e-05 ] |Gp|=0.0001475285664903092 Gp=Normalize(-(grad f)(Xp))=[ 0.4538755414242188 -0.02344353564519274 -0.8143319873929118 -0.07005770222353676 0.00724214019095669 -0.3364393107310031 -0.06421731547698377 -0.02093301407111881 0.08715969892286138 ] X(t)=[0.4538755414242188*t+2.954112046246411,-0.02344353564519274*t+0.1994881056679884,-0.8143319873929118*t+0.8837844595111781,-0.07005770222353676*t-0.4351508636522313,0.00724214019095669*t-0.3157292658544059,-0.3364393107310031*t+2.392025875083466,-0.06421731547698377*t+0.3777780850648397,-0.02093301407111881*t+5.571232296696193,0.08715969892286138*t+0.2500939193104952] Singular locus = [0.08715969892286138*t+0.2500939193104952,-0.02093301407111881*t+5.571232296696193,-0.06421731547698377*t+0.3777780850648397,-0.3364393107310031*t+2.392025875083466,-0.07005770222353676*t-0.4351508636522313,-0.02344353564519274*t+0.1994881056679884,0.4538755414242188*t+2.954112046246411,-0.006411466067008662*t^2+1.898746212595919*t-13.40549377933653,0.004960530235387218*t^2+0.05639822804471484*t+0.289041243454245,0.00164463006094278*t^2-0.1181334943834713*t-0.8458922061432634,-0.03196725889935862*t^2-0.3956161047863026*t-1.348468641398826,0.7763279954964418*t^2-3.048930984009028*t+6.502862757942284,0.2065526064666752*t^2+2.672244995803755*t+8.76657348608116,-0.01831633099233877*t^3-0.05830975630763742*t^2-0.04120308932327832*t-2.849239189908563,-0.02992696705546086*t^3-0.3260485076305812*t^2-0.1607148376775653*t+4.441238941446961,0.02252102675421956*t^3-0.1980661303225034*t^2+0.9969827182865117*t-1.354647464814986,0.0008127617090279174*t^4-0.03839360024816552*t^3+4.038472683926416*t^2-49.49995675692135*t+186.0456462587398,0.2080110312840258*t^4-2.583602714450912*t^3+10.6862647089973*t^2-20.9394309329887*t+5.314197839917356,0.07281108469400938*t^4+0.4870555123495802*t^3-2.473462607838363*t^2-15.22930435180282*t+11.25940607786662,-2.334149664334829e-05*t^5+0.004508330393641729*t^4+0.1468412150040027*t^3-7.840354882774058*t^2-62.99828635297037*t-51.30968238597734,-0.0003811563322186722*t^6+0.008237679631342344*t^5+0.2824777767827496*t^4-0.5411346816466718*t^3-3.193341604608165*t^2+5.659282409259641*t-14.72042118144164,0.0002263769904313319*t^6+0.008476132419628617*t^5-0.6295319190966151*t^4-16.66251435098179*t^3+723.0665668190906*t^2-1285.561875999459*t+595.7731358702071,0.002431621378957823*t^8+0.05299958183853554*t^7+0.3586988817200742*t^6-7.858194647685544*t^5+39.68510239768383*t^4-107.1485350530995*t^3+478.9370553875397*t^2-1116.51411532819*t-121.8543967581923,1.338788056139047e-05*t^9-0.000202720090382578*t^8-0.0002067364784080628*t^7+0.01400970604388854*t^6-0.06511537304822698*t^5-0.6795313981620862*t^4+0.5037692000579281*t^3+1.236559407351251*t^2+27.9788052539838*t+53.94006828035418,-8.477583568443352e-05*t^10-0.0119449262004949*t^9+0.9453798358667646*t^8-3.646380091401514*t^7-81.0020111009046*t^6-92.82209100170216*t^5+9082.580434194122*t^4+205871.4890859929*t^3-1692313.539221622*t^2+1917342.445878542*t+6287865.20348289,-0.0009540693491691049*t^12+0.1749260457644421*t^11+1.827549349307153*t^10-161.7700057974426*t^9-107.2844066093245*t^8+18241.72968696463*t^7-29664.33713394125*t^6-859238.4709319582*t^5+1615517.605058939*t^4+3608826.329067777*t^3-16305385.20969143*t^2+112725672.9688453*t-58936505.32462136,0.00161958683037251*t^12+0.0222702392316295*t^11-2.333317497211464*t^10-15.67739388585725*t^9+912.1319952408458*t^8-1355.760760587369*t^7+20335.13433454534*t^6+60033.79518770803*t^5-1402310.034520071*t^4-541256.5641598365*t^3+13406055.2178654*t^2-207327.1383763136*t+4666963.568913766] Nearest singular point at t=0.29514954608931605244984163059058816299 oh_hash.push_restrict Te=0.1384993605277109 t in [0,0.1385] N=13850,M=24 oooooo monotonely increasing here. break. t = [0 -> 0.00144] (145) y0 = [0.2469712892053845,0.2469712877368766,0.2469712862819243,0.2469712848405276,0.2469712834126865,0.246971281998401,0.2469712805976711,0.2469712792104967,0.246971277836878,0.2469712764768148,0.2469712751303073,0.2469712737973553,0.2469712724779589,0.2469712711721181,0.2469712698798328,0.2469712686011032,0.2469712673359291,0.2469712660843107,0.2469712648462478,0.2469712636217405,0.2469712624107888,0.2469712612133927,0.2469712600295521,0.2469712588592672,0.2469712577025378,0.246971256559364,0.2469712554297458,0.2469712543136832,0.2469712532111761,0.2469712521222247,0.2469712510468288,0.2469712499849885,0.2469712489367038,0.2469712479019747,0.2469712468808011,0.2469712458731832,0.2469712448791208,0.246971243898614,0.2469712429316628,0.2469712419782671,0.2469712410384271,0.2469712401121426,0.2469712391994137,0.2469712383002404,0.2469712374146227,0.2469712365425605,0.2469712356840539,0.2469712348391029,0.2469712340077075,0.2469712331898677,0.2469712323855834,0.2469712315948547,0.2469712308176816,0.2469712300540641,0.2469712293040021,0.2469712285674958,0.246971227844545,0.2469712271351498,0.2469712264393101,0.2469712257570261,0.2469712250882976,0.2469712244331247,0.2469712237915073,0.2469712231634456,0.2469712225489394,0.2469712219479887,0.2469712213605937,0.2469712207867543,0.2469712202264704,0.2469712196797421,0.2469712191465694,0.2469712186269522,0.2469712181208906,0.2469712176283846,0.2469712171494342,0.2469712166840393,0.2469712162322,0.2469712157939163,0.2469712153691882,0.2469712149580156,0.2469712145603986,0.2469712141763372,0.2469712138058313,0.2469712134488811,0.2469712131054864,0.2469712127756472,0.2469712124593637,0.2469712121566357,0.2469712118674633,0.2469712115918465,0.2469712113297852,0.2469712110812795,0.2469712108463293,0.2469712106249347,0.2469712104170957,0.2469712102228123,0.2469712100420845,0.2469712098749122,0.2469712097212955,0.2469712095812344,0.2469712094547288,0.2469712093417788,0.2469712092423843,0.2469712091565455,0.2469712090842622,0.2469712090255345,0.2469712089803623,0.2469712089487457,0.2469712089306847,0.2469712089261792,0.2469712089352294,0.2469712089578351,0.2469712089939963,0.2469712090437131,0.2469712091069855,0.2469712091838135,0.246971209274197,0.2469712093781361,0.2469712094956308,0.246971209626681,0.2469712097712868,0.2469712099294482,0.2469712101011651,0.2469712102864376,0.2469712104852657,0.2469712106976493,0.2469712109235885,0.2469712111630832,0.2469712114161336,0.2469712116827395,0.2469712119629009,0.2469712122566179,0.2469712125638905,0.2469712128847187,0.2469712132191024,0.2469712135670417,0.2469712139285366,0.246971214303587,0.246971214692193,0.2469712150943545,0.2469712155100716,0.2469712159393443,0.2469712163821726,0.2469712168385564,0.2469712173084957] min(y0) = y0[109] DtY=PY has min Y = [ 0.2469712089261792 0.007367915366467965 1.052609887359661 0.0002455848627440083 ] at t=109/100000,X=[2.954606770586564,0.1994625522141351,0.8828968376449199,-0.435227226547655,-0.3157213719215978,2.391659156234769,0.3777080881909698,5.571209479710856,0.2501889233823212] Step <27> Xp=[2.954606770586564,0.1994625522141351,0.8828968376449199,-0.435227226547655,-0.3157213719215978,2.391659156234769,0.3777080881909698,5.571209479710856,0.2501889233823212] Yp=[ 0.2469712089261792 0.007367915366467965 1.052609887359661 0.0002455848627440083 ] Gp=-(grad f)(Xp)=[ -1.38128784644303e-05 3.033199313793385e-06 -2.680757692261667e-05 7.807188651860059e-05 -1.333311904907732e-05 3.134702799733637e-05 3.82163727233667e-06 -4.434757854304694e-06 6.287171731709368e-06 ] |Gp|=9.081888734993329e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1520925753164983 0.03339833158389396 -0.2951762315621054 0.8596437238631061 -0.1468099801498737 0.3451597890266313 0.04207976318418833 -0.04883078821718191 0.0692275793633579 ] X(t)=[-0.1520925753164983*t+2.954606770586564,0.03339833158389396*t+0.1994625522141351,-0.2951762315621054*t+0.8828968376449199,0.8596437238631061*t-0.435227226547655,-0.1468099801498737*t-0.3157213719215978,0.3451597890266313*t+2.391659156234769,0.04207976318418833*t+0.3777080881909698,-0.04883078821718191*t+5.571209479710856,0.0692275793633579*t+0.2501889233823212] Singular locus = [0.0692275793633579*t+0.2501889233823212,-0.04883078821718191*t+5.571209479710856,0.04207976318418833*t+0.3777080881909698,0.3451597890266313*t+2.391659156234769,0.8596437238631061*t-0.435227226547655,0.03339833158389396*t+0.1994625522141351,-0.1520925753164983*t+2.954606770586564,0.006691125006888243*t^2-1.864757744101271*t-13.40342415358226,0.7605405022488344*t^2-0.6555786108226743*t+0.2891027234164197,-0.006381958170435107*t^2-0.5426777527325033*t-0.8460209696981565,-0.1356486362138749*t^2+2.566276336152909*t-1.348899900933344,0.2062642876401143*t^2+1.129788816790953*t+6.499540345525007,0.02424760001899244*t^2-0.8854240726573106*t+8.769486478531739,0.01424369703409777*t^3+0.02527631179462327*t^2-2.524158124536303*t-2.849284170577468,0.03005943078379298*t^3-0.5768886007977443*t^2-0.4773000265414717*t+4.441063374856904,-0.01447467622632732*t^3+0.2091344426459051*t^2+1.154343656192279*t-1.353560988945257,0.003350177964341104*t^4-0.3784470035322501*t^3+27.18109844545082*t^2+27.58342446326427*t+185.9916961039345,0.03799771140425178*t^4+0.1561128186280483*t^3+0.8758046051516434*t^2+13.66741522314036*t+5.291386553205951,0.07067409739994233*t^4+0.1063100824645606*t^3+2.534656669913923*t^2+5.860794253808011*t+11.24280319803309,0.0002412032221064112*t^5-0.03544674624333612*t^4+0.3389043292193206*t^3+4.134693174607678*t^2-2.654935410411014*t-51.37835983303754,0.0005890881569441635*t^6+6.730932514707863e-05*t^5-0.205081478258474*t^4+0.451972860000775*t^3+5.118272317839544*t^2-4.947650464818627*t-14.71425635832508,0.03146948509589965*t^6-0.06021519133123374*t^5-1.095515323390983*t^4+9.598509371240935*t^3+4.428933019785464*t^2-150.6103466322502*t+594.3727324791768,0.005286291082549331*t^8+0.001346207723182696*t^7-1.390758380165374*t^6-0.21898824473173*t^5-30.42316201228591*t^4+10.45608867720698*t^3+2.669453786413701*t^2+599.9761154164902*t-123.070828257489,-0.001386461472174745*t^9+0.1303030933016545*t^8-7.136231094032592*t^7-2.263457701612243*t^6-125.7377559174658*t^5+369.7317176392984*t^4-402.9226503857315*t^3+375.9422521544222*t^2+63.6553776535109*t+53.9705666478887,-3.905650926134484e-05*t^10-0.003540214482315477*t^9-0.02759865185480013*t^8+13.88420616091253*t^7-24.87363232126269*t^6+230.9501142434553*t^5-15064.00248858834*t^4-24155.57363316675*t^3-463252.9713613971*t^2-1749487.980887179*t+6289953.096377801,-0.005065824288041131*t^12-0.2031329099276461*t^11+2.625591362204633*t^10+109.0334309868029*t^9-275.7698056038362*t^8+535.243228676731*t^7-46100.30002555552*t^6-266902.6556932017*t^5+1993403.600354737*t^4+7839737.611096281*t^3-16539194.08911137*t^2-73134683.77963124*t-58813653.70883766,0.001459878278642945*t^12+0.02201239383950509*t^11-1.806975366840461*t^10-14.78452189067467*t^9+663.2282898978126*t^8-29.66490736164595*t^7-11757.67449104309*t^6+24242.99165664917*t^5-298167.5835547966*t^4-348342.1175357814*t^3+5448889.82539185*t^2-305127.6613120791*t+4666753.509364208] Nearest singular point at t=0.20487922400332847923015815211780747499 oh_hash.push_restrict Te=0.20487922400332847923015815211780747499 t in [0,0.20488] N=20488,M=24 oooooooo monotonely increasing here. break. t = [0 -> 0.00192] (193) y0 = [0.2469712089261792,0.2469712080209109,0.2469712071214835,0.2469712062278972,0.2469712053401519,0.2469712044582475,0.2469712035821842,0.2469712027119619,0.2469712018475806,0.2469712009890404,0.2469712001363411,0.2469711992894829,0.2469711984484657,0.2469711976132894,0.2469711967839542,0.24697119596046,0.2469711951428068,0.2469711943309947,0.2469711935250235,0.2469711927248933,0.2469711919306042,0.2469711911421561,0.246971190359549,0.2469711895827829,0.2469711888118578,0.2469711880467737,0.2469711872875306,0.2469711865341286,0.2469711857865675,0.2469711850448475,0.2469711843089684,0.2469711835789304,0.2469711828547334,0.2469711821363774,0.2469711814238625,0.2469711807171885,0.2469711800163555,0.2469711793213636,0.2469711786322127,0.2469711779489027,0.2469711772714338,0.2469711765998059,0.246971175934019,0.2469711752740731,0.2469711746199683,0.2469711739717044,0.2469711733292816,0.2469711726926997,0.2469711720619589,0.2469711714370591,0.2469711708180003,0.2469711702047825,0.2469711695974057,0.2469711689958699,0.2469711684001752,0.2469711678103214,0.2469711672263087,0.246971166648137,0.2469711660758062,0.2469711655093165,0.2469711649486678,0.2469711643938601,0.2469711638448935,0.2469711633017678,0.2469711627644831,0.2469711622330395,0.2469711617074368,0.2469711611876752,0.2469711606737546,0.246971160165675,0.2469711596634364,0.2469711591670388,0.2469711586764822,0.2469711581917667,0.2469711577128921,0.2469711572398585,0.246971156772666,0.2469711563113145,0.246971155855804,0.2469711554061345,0.246971154962306,0.2469711545243185,0.246971154092172,0.2469711536658665,0.2469711532454021,0.2469711528307786,0.2469711524219962,0.2469711520190547,0.2469711516219543,0.2469711512306949,0.2469711508452765,0.2469711504656991,0.2469711500919627,0.2469711497240674,0.246971149362013,0.2469711490057996,0.2469711486554273,0.2469711483108959,0.2469711479722056,0.2469711476393563,0.246971147312348,0.2469711469911807,0.2469711466758544,0.2469711463663692,0.2469711460627249,0.2469711457649216,0.2469711454729594,0.2469711451868381,0.2469711449065579,0.2469711446321187,0.2469711443635205,0.2469711441007633,0.2469711438438471,0.2469711435927719,0.2469711433475377,0.2469711431081446,0.2469711428745924,0.2469711426468812,0.2469711424250111,0.246971142208982,0.2469711419987939,0.2469711417944468,0.2469711415959407,0.2469711414032756,0.2469711412164515,0.2469711410354684,0.2469711408603264,0.2469711406910253,0.2469711405275653,0.2469711403699462,0.2469711402181682,0.2469711400722312,0.2469711399321352,0.2469711397978802,0.2469711396694662,0.2469711395468932,0.2469711394301612,0.2469711393192703,0.2469711392142203,0.2469711391150113,0.2469711390216434,0.2469711389341165,0.2469711388524305,0.2469711387765856,0.2469711387065817,0.2469711386424188,0.246971138584097,0.2469711385316161,0.2469711384849762,0.2469711384441774,0.2469711384092195,0.2469711383801027,0.2469711383568269,0.246971138339392,0.2469711383277982,0.2469711383220454,0.2469711383221336,0.2469711383280628,0.246971138339833,0.2469711383574442,0.2469711383808965,0.2469711384101897,0.246971138445324,0.2469711384862992,0.2469711385331155,0.2469711385857728,0.2469711386442711,0.2469711387086103,0.2469711387787906,0.246971138854812,0.2469711389366743,0.2469711390243776,0.246971139117922,0.2469711392173073,0.2469711393225337,0.2469711394336011,0.2469711395505094,0.2469711396732588,0.2469711398018492,0.2469711399362806,0.246971140076553,0.2469711402226665,0.2469711403746209,0.2469711405324163,0.2469711406960528,0.2469711408655302,0.2469711410408487,0.2469711412220082,0.2469711414090086,0.2469711416018501,0.2469711418005326,0.2469711420050561,0.2469711422154206] min(y0) = y0[155] DtY=PY has min Y = [ 0.2469711383220454 0.007373636611188958 1.052586705508989 0.0002445830590313066 ] at t=31/20000,X=[2.954371027094823,0.1995143196280901,0.8824393144859987,-0.4338947787756672,-0.3159489273908301,2.39219415390776,0.3777733118239053,5.571133791989119,0.2502962261303344] Step <28> Xp=[2.954371027094823,0.1995143196280901,0.8824393144859987,-0.4338947787756672,-0.3159489273908301,2.39219415390776,0.3777733118239053,5.571133791989119,0.2502962261303344] Yp=[ 0.2469711383220454 0.007373636611188958 1.052586705508989 0.0002445830590313066 ] Gp=-(grad f)(Xp)=[ 5.844305391269336e-05 -3.167801073491604e-06 -0.0001057212699961847 -8.40832710729579e-06 1.517259204026115e-06 -4.353203302692558e-05 -7.960668571758284e-06 -2.894550792942319e-06 1.071017550132976e-05 ] |Gp|=0.0001294492599872777 Gp=Normalize(-(grad f)(Xp))=[ 0.4514746080312639 -0.02447137259651339 -0.8167004585933908 -0.0649546170300407 0.01172087970356286 -0.3362864571895114 -0.06149643939672319 -0.02236050475087148 0.08273647529837068 ] X(t)=[0.4514746080312639*t+2.954371027094823,-0.02447137259651339*t+0.1995143196280901,-0.8167004585933908*t+0.8824393144859987,-0.0649546170300407*t-0.4338947787756672,0.01172087970356286*t-0.3159489273908301,-0.3362864571895114*t+2.39219415390776,-0.06149643939672319*t+0.3777733118239053,-0.02236050475087148*t+5.571133791989119,0.08273647529837068*t+0.2502962261303344] Singular locus = [0.08273647529837068*t+0.2502962261303344,-0.02236050475087148*t+5.571133791989119,-0.06149643939672319*t+0.3777733118239053,-0.3362864571895114*t+2.39219415390776,-0.0649546170300407*t-0.4338947787756672,-0.02447137259651339*t+0.1995143196280901,0.4514746080312639*t+2.954371027094823,-0.006549790649570805*t^2+1.903780705510362*t-13.4063145120102,0.004356481294544644*t^2+0.04896053963258012*t+0.2880884037682012,0.00370215093474168*t^2-0.1056737153190528*t-0.8468621355475464,-0.02961218627784329*t^2-0.3777223265409997*t-1.344922498508155,0.780088220355728*t^2-3.050302179497308*t+6.501292013740985,0.2044281697737408*t^2+2.657882224365198*t+8.768114129473979,-0.01703327354118446*t^3-0.04571054429251366*t^2-0.006071615741909175*t-2.853196554891118,-0.02843524393743879*t^3-0.3208080016634257*t^2-0.2079565988073865*t+4.44032217395284,0.02122556989665141*t^3-0.1946592133361401*t^2+1.003861140217661*t-1.351771253886563,0.0007264614368102575*t^4-0.03814103394275618*t^3+4.033438238119213*t^2-49.76665687680399*t+186.0345157130323,0.2100334846807291*t^4-2.600674416166956*t^3+10.69191274722201*t^2-20.84936298366148*t+5.312573151503947,0.07135126708949928*t^4+0.4804610964528279*t^3-2.458071562119397*t^2-15.218680387372*t+11.25189351903543,-2.411271235765487e-05*t^5+0.003637101708016758*t^4+0.1665926113335799*t^3-7.430171103840293*t^2-61.69560147250573*t-51.38246504806149,-0.0003376197465129623*t^6+0.00473622842915258*t^5+0.264476032282051*t^4-0.4716765871069868*t^3-3.080687045566408*t^2+5.767998446087342*t-14.7219129182144,0.000184634447615906*t^6+0.008701302825729744*t^5-0.5555376376967451*t^4-17.54488315451341*t^3+725.6917102658176*t^2-1285.865551732986*t+594.1392971181458,0.00222168411652378*t^8+0.04188709349462588*t^7+0.4280787505930712*t^6-8.154779030801905*t^5+40.77961132582191*t^4-112.8214497170953*t^3+485.4287547430716*t^2-1114.94295818375*t-122.1408588264688,1.160433718173705e-05*t^9-0.0001775134531242867*t^8-0.000146392289088204*t^7+0.01239776928810101*t^6-0.05224543039076798*t^5-0.5858626584270656*t^4+0.5156703268982548*t^3-0.3024590365290116*t^2+25.77780477755799*t+54.0701341862118,-0.0001040491805723024*t^10-0.01212569656019965*t^9+0.934415242449989*t^8-3.405750829705215*t^7-95.83293193625258*t^6+127.778116645954*t^5+6394.683125450576*t^4+214217.0843742143*t^3-1697613.832749759*t^2+1909073.556024437*t+6287240.276952123,-0.001172043267410768*t^12+0.1581664194207893*t^11+2.218996927095188*t^10-154.7811540626145*t^9-183.5382189486056*t^8+17866.76713637994*t^7-21086.56269817207*t^6-856811.9122498571*t^5+1588149.273215967*t^4+3554300.337093315*t^3-17630105.78308916*t^2+113344967.7715865*t-58927052.1749042,0.001485929569384582*t^12+0.02308603356560652*t^11-2.249191243129554*t^10-17.00656431495948*t^9+925.2727966622741*t^8-1426.281592534049*t^7+19412.08930444792*t^6+63619.26161960705*t^5-1386120.859979745*t^4-574859.6046395489*t^3+13323307.06603451*t^2-215263.5192382613*t+4666293.651148072] Nearest singular point at t=0.29679802911063506161169148452348588615 oh_hash.push_restrict Te=0.1364506574147534 t in [0,0.13645] N=13645,M=24 ooooo monotonely increasing here. break. t = [0 -> 0.0012] (121) y0 = [0.2469711383220454,0.246971137034291,0.2469711357600131,0.2469711344992117,0.2469711332518867,0.2469711320180382,0.2469711307976661,0.2469711295907705,0.2469711283973513,0.2469711272174086,0.2469711260509424,0.2469711248979526,0.2469711237584393,0.2469711226324025,0.246971121519842,0.2469711204207581,0.2469711193351506,0.2469711182630196,0.246971117204365,0.2469711161591869,0.2469711151274852,0.24697111410926,0.2469711131045113,0.246971112113239,0.2469711111354431,0.2469711101711238,0.2469711092202808,0.2469711082829144,0.2469711073590243,0.2469711064486108,0.2469711055516736,0.246971104668213,0.2469711037982288,0.246971102941721,0.2469711020986897,0.2469711012691349,0.2469711004530565,0.2469710996504545,0.246971098861329,0.24697109808568,0.2469710973235074,0.2469710965748113,0.2469710958395916,0.2469710951178484,0.2469710944095816,0.2469710937147913,0.2469710930334774,0.2469710923656399,0.246971091711279,0.2469710910703944,0.2469710904429863,0.2469710898290547,0.2469710892285995,0.2469710886416208,0.2469710880681185,0.2469710875080927,0.2469710869615433,0.2469710864284703,0.2469710859088739,0.2469710854027538,0.2469710849101102,0.2469710844309431,0.2469710839652524,0.2469710835130381,0.2469710830743004,0.246971082649039,0.2469710822372541,0.2469710818389456,0.2469710814541136,0.246971081082758,0.2469710807248789,0.2469710803804762,0.24697108004955,0.2469710797321002,0.2469710794281269,0.24697107913763,0.2469710788606095,0.2469710785970655,0.246971078346998,0.2469710781104069,0.2469710778872922,0.246971077677654,0.2469710774814922,0.2469710772988069,0.246971077129598,0.2469710769738655,0.2469710768316095,0.2469710767028299,0.2469710765875268,0.2469710764857001,0.2469710763973499,0.2469710763224761,0.2469710762610787,0.2469710762131578,0.2469710761787133,0.2469710761577453,0.2469710761502537,0.2469710761562385,0.2469710761756998,0.2469710762086376,0.2469710762550517,0.2469710763149424,0.2469710763883094,0.2469710764751529,0.2469710765754729,0.2469710766892693,0.2469710768165421,0.2469710769572914,0.2469710771115171,0.2469710772792192,0.2469710774603978,0.2469710776550529,0.2469710778631844,0.2469710780847923,0.2469710783198767,0.2469710785684374,0.2469710788304747,0.2469710791059883,0.2469710793949784,0.246971079697445,0.246971080013388] min(y0) = y0[96] DtY=PY has min Y = [ 0.2469710761502537 0.007368087970209064 1.052588985870713 0.0002460866684206593 ] at t=3/3125,X=[2.954804442718533,0.1994908271103975,0.8816552820457491,-0.433957135208016,-0.3159376753463147,2.391871318908859,0.3777142752420844,5.571112325904559,0.2503756531466208] Step <29> Xp=[2.954804442718533,0.1994908271103975,0.8816552820457491,-0.433957135208016,-0.3159376753463147,2.391871318908859,0.3777142752420844,5.571112325904559,0.2503756531466208] Yp=[ 0.2469710761502537 0.007368087970209064 1.052588985870713 0.0002460866684206593 ] Gp=-(grad f)(Xp)=[ -1.24902878625658e-05 2.553144683280629e-06 -2.374980055918838e-05 6.918459278114093e-05 -1.120777795036591e-05 2.757936535528055e-05 3.673706703972296e-06 -4.079420805130907e-06 5.014503452457474e-06 ] |Gp|=8.034055926783592e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1554667776325307 0.03177902552021158 -0.2956140805544097 0.8611415381177057 -0.1395033598534198 0.3432807240404891 0.04572667575943863 -0.05077660452339033 0.06241559055794393 ] X(t)=[-0.1554667776325307*t+2.954804442718533,0.03177902552021158*t+0.1994908271103975,-0.2956140805544097*t+0.8816552820457491,0.8611415381177057*t-0.433957135208016,-0.1395033598534198*t-0.3159376753463147,0.3432807240404891*t+2.391871318908859,0.04572667575943863*t+0.3777142752420844,-0.05077660452339033*t+5.571112325904559,0.06241559055794393*t+0.2503756531466208] Singular locus = [0.06241559055794393*t+0.2503756531466208,-0.05077660452339033*t+5.571112325904559,0.04572667575943863*t+0.3777142752420844,0.3432807240404891*t+2.391871318908859,0.8611415381177057*t-0.433957135208016,0.03177902552021158*t+0.1994908271103975,-0.1554667776325307*t+2.954804442718533,0.008723444975038448*t^2-1.845652050342028*t-13.4044868885692,0.7610259360821207*t^2-0.6592482953501885*t+0.2881354099011816,-0.005678101091034306*t^2-0.5210864379740103*t-0.8469635789023503,-0.1383121808496179*t^2+2.574100927991637*t-1.345285139232225,0.2052293401197915*t^2+1.12090720519764*t+6.498364442577971,0.025179825410457*t^2-0.9060686023158928*t+8.770665884810368,0.01284613278430508*t^3+0.02990594522195685*t^2-2.456374752060757*t-2.853202425784138,0.02767015241484784*t^3-0.5475376555593632*t^2-0.5417854351579321*t+4.440122239936173,-0.0124354257569597*t^3+0.1963240898561809*t^2+1.15646894030371*t-1.350807726571106,0.002918805415913181*t^4-0.4010496173571321*t^3+27.14950224038369*t^2+27.12022106418654*t+185.9867434396136,0.03799161373814906*t^4+0.1509591868005661*t^3+0.8467624865670731*t^2+13.70258832091415*t+5.292567614405693,0.07046048948508095*t^4+0.1017980298035991*t^3+2.531395215064113*t^2+5.864277544860824*t+11.23728132092994,0.000214570260932215*t^5-0.03013697034345081*t^4+0.2574221817810231*t^3+3.714123875435952*t^2-0.674414644322237*t-51.44169967297339,0.000485571225335097*t^6+0.0008377039094359749*t^5-0.1986233979885308*t^4+0.3526722957929961*t^3+4.907985070192278*t^2-4.729407377827513*t-14.71637847928443,0.03142827528956784*t^6-0.06190198948281896*t^5-1.086735880702784*t^4+9.629706264681996*t^3+4.067319412148086*t^2-151.0937635588537*t+592.9055349704394,0.004429670128950921*t^8+0.004095505560090612*t^7-1.390581153017178*t^6-0.1779059101443141*t^5-30.311865504756*t^4+8.241323873489261*t^3-4.171644605048405*t^2+598.7734338665297*t-123.2107567949674,-0.00125113820403866*t^9+0.1352030853737263*t^8-7.140598835135291*t^7-1.893073856511062*t^6-127.3344660329375*t^5+372.4187461208384*t^4-408.1759009022884*t^3+370.3259346085284*t^2+61.38567984971411*t+54.09488060050778,-3.649154922595428e-05*t^10-0.002387847374126118*t^9-0.01691727019036605*t^8+13.08223285279407*t^7-25.16633004502322*t^6+213.0131826094099*t^5-14443.86902151562*t^4-22348.84649020944*t^3-436691.5180453446*t^2-1754218.005292352*t+6289071.423234536,-0.004673659804204553*t^12-0.1912091217342875*t^11+2.328623895889367*t^10+103.6663900789933*t^9-236.204752684407*t^8+632.0513298942666*t^7-44181.21064362742*t^6-269556.9938735498*t^5+1877641.437135396*t^4+7858594.067673604*t^3-15268293.96391422*t^2-71918774.70304352*t-58818257.25060306,0.001402982181316087*t^12+0.02319991462432421*t^11-1.785789536367548*t^10-15.72328831669209*t^9+666.7759088018908*t^8-37.53044242355188*t^7-11851.40874073426*t^6+25914.92163171243*t^5-299342.4954638713*t^4-370284.2757932715*t^3+5471178.823905106*t^2-322876.8816555505*t+4666099.2764196] Nearest singular point at t=0.20603881054965023603692856810221876535 oh_hash.push_restrict Te=0.20603881054965023603692856810221876535 t in [0,0.20604] N=20604,M=24 ooooooo monotonely increasing here. break. t = [0 -> 0.00168] (169) y0 = [0.2469710761502537,0.2469710753497787,0.2469710745551651,0.2469710737664129,0.2469710729835219,0.2469710722064923,0.246971071435324,0.246971070670017,0.2469710699105714,0.246971069156987,0.246971068409264,0.2469710676674023,0.246971066931402,0.246971066201263,0.2469710654769853,0.2469710647585689,0.2469710640460138,0.2469710633393201,0.2469710626384877,0.2469710619435166,0.2469710612544069,0.2469710605711585,0.2469710598937714,0.2469710592222456,0.2469710585565812,0.246971057896778,0.2469710572428362,0.2469710565947558,0.2469710559525366,0.2469710553161788,0.2469710546856823,0.2469710540610471,0.2469710534422733,0.2469710528293608,0.2469710522223096,0.2469710516211197,0.2469710510257912,0.2469710504363239,0.246971049852718,0.2469710492749735,0.2469710487030902,0.2469710481370683,0.2469710475769077,0.2469710470226084,0.2469710464741704,0.2469710459315938,0.2469710453948785,0.2469710448640245,0.2469710443390319,0.2469710438199005,0.2469710433066305,0.2469710427992219,0.2469710422976745,0.2469710418019885,0.2469710413121638,0.2469710408282004,0.2469710403500983,0.2469710398778576,0.2469710394114782,0.2469710389509601,0.2469710384963034,0.2469710380475079,0.2469710376045738,0.246971037167501,0.2469710367362896,0.2469710363109394,0.2469710358914506,0.2469710354778231,0.246971035070057,0.2469710346681521,0.2469710342721086,0.2469710338819264,0.2469710334976056,0.246971033119146,0.2469710327465478,0.2469710323798109,0.2469710320189354,0.2469710316639211,0.2469710313147682,0.2469710309714766,0.2469710306340463,0.2469710303024774,0.2469710299767698,0.2469710296569235,0.2469710293429385,0.2469710290348149,0.2469710287325525,0.2469710284361515,0.2469710281456118,0.2469710278609335,0.2469710275821164,0.2469710273091607,0.2469710270420664,0.2469710267808333,0.2469710265254616,0.2469710262759512,0.2469710260323021,0.2469710257945143,0.2469710255625879,0.2469710253365228,0.246971025116319,0.2469710249019765,0.2469710246934954,0.2469710244908755,0.246971024294117,0.2469710241032199,0.246971023918184,0.2469710237390095,0.2469710235656963,0.2469710233982444,0.2469710232366538,0.2469710230809246,0.2469710229310567,0.2469710227870501,0.2469710226489048,0.2469710225166209,0.2469710223901983,0.246971022269637,0.246971022154937,0.2469710220460984,0.246971021943121,0.246971021846005,0.2469710217547504,0.246971021669357,0.246971021589825,0.2469710215161543,0.2469710214483449,0.2469710213863968,0.2469710213303101,0.2469710212800847,0.2469710212357206,0.2469710211972178,0.2469710211645764,0.2469710211377963,0.2469710211168775,0.24697102110182,0.2469710210926239,0.246971021089289,0.2469710210918155,0.2469710211002034,0.2469710211144525,0.246971021134563,0.2469710211605348,0.2469710211923679,0.2469710212300623,0.2469710212736181,0.2469710213230352,0.2469710213783136,0.2469710214394533,0.2469710215064544,0.2469710215793168,0.2469710216580405,0.2469710217426255,0.2469710218330719,0.2469710219293796,0.2469710220315486,0.2469710221395789,0.2469710222534705,0.2469710223732235,0.2469710224988378,0.2469710226303134,0.2469710227676503,0.2469710229108486,0.2469710230599082,0.2469710232148291,0.2469710233756114,0.2469710235422549,0.2469710237147598,0.246971023893126] min(y0) = y0[137] DtY=PY has min Y = [ 0.246971021089289 0.007373282804513741 1.052568032727108 0.0002451500613534083 ] at t=137/100000,X=[2.954591453233176,0.1995343643753602,0.8812502907553895,-0.4327773713007948,-0.3161287949493138,2.392341613500794,0.3777769207878748,5.571042761956361,0.2504611625056852] Step <30> Xp=[2.954591453233176,0.1995343643753602,0.8812502907553895,-0.4327773713007948,-0.3161287949493138,2.392341613500794,0.3777769207878748,5.571042761956361,0.2504611625056852] Yp=[ 0.246971021089289 0.007373282804513741 1.052568032727108 0.0002451500613534083 ] Gp=-(grad f)(Xp)=[ 5.1515494349529e-05 -2.896393423934768e-06 -9.362272002061238e-05 -7.410070005551932e-06 1.769843424731412e-06 -3.874116297465646e-05 -6.846915643714951e-06 -2.71966068590701e-06 9.08937263076749e-06 ] |Gp|=0.0001145568053489806 Gp=Normalize(-(grad f)(Xp))=[ 0.4496938806262495 -0.02528346888787032 -0.8172602206861861 -0.06468467746615517 0.01544948306946796 -0.3381829901474395 -0.05976873763943416 -0.02374071691002521 0.07934380330420387 ] X(t)=[0.4496938806262495*t+2.954591453233176,-0.02528346888787032*t+0.1995343643753602,-0.8172602206861861*t+0.8812502907553895,-0.06468467746615517*t-0.4327773713007948,0.01544948306946796*t-0.3161287949493138,-0.3381829901474395*t+2.392341613500794,-0.05976873763943416*t+0.3777769207878748,-0.02374071691002521*t+5.571042761956361,0.07934380330420387*t+0.2504611625056852] Singular locus = [0.07934380330420387*t+0.2504611625056852,-0.02374071691002521*t+5.571042761956361,-0.05976873763943416*t+0.3777769207878748,-0.3381829901474395*t+2.392341613500794,-0.06468467746615517*t-0.4327773713007948,-0.02528346888787032*t+0.1995343643753602,0.4496938806262495*t+2.954591453233176,-0.006802885887060711*t^2+1.919614439040285*t-13.40701541550513,0.004422794026014299*t^2+0.04622007642380332*t+0.2872336681061313,0.005312084964941126*t^2-0.09454957114415968*t-0.8476774779796026,-0.02947892015133321*t^2-0.3746585954082733*t-1.341758880559009,0.7822820031410967*t^2-3.058520094820727*t+6.49990047064404,0.2028638400716995*t^2+2.647233550751663*t+8.76942461808521,-0.01638707256154856*t^3-0.03695210355791652*t^2+0.02936206425795385*t-2.85656760303096,-0.02713087121145705*t^3-0.3169738607289718*t^2-0.2400412689096139*t+4.439378966287729,0.02065136750387704*t^3-0.1923334286629814*t^2+1.004409343443782*t-1.349222995674181,0.0006947002463612795*t^4-0.03912350579785549*t^3+4.096347838805362*t^2-50.20050909143561*t+186.0239490983409,0.211985019374152*t^4-2.615523998114823*t^3+10.72951063701074*t^2-20.84115194815119*t+5.311341750082158,0.07116378593459284*t^4+0.4843806298822639*t^3-2.434404008785552*t^2-15.24331512210992*t+11.24532013260409,-2.604669504617055e-05*t^5+0.003279895977346188*t^4+0.1848579071843633*t^3-7.118919401250203*t^2-60.75131670626456*t-51.44261664933516,-0.0003168097619516939*t^6+0.002397996292489402*t^5+0.2511841697542232*t^4-0.4239473913571722*t^3-2.989352921914251*t^2+5.86818233313023*t-14.72284855468872,0.0001831228174142598*t^6+0.009565839220646124*t^5-0.5474635716426333*t^4-18.41393631936829*t^3+727.4177232420061*t^2-1285.414434066004*t+592.6985441730728,0.002126417539477344*t^8+0.0348441086202317*t^7+0.4839686773790404*t^6-8.407734106698943*t^5+41.66133785573682*t^4-116.6079704576386*t^3+492.9364226296183*t^2-1115.891612906019*t-122.3904449992453,1.09539177169804e-05*t^9-0.000168693341091549*t^8-9.885155420624823e-05*t^7+0.01157719680240555*t^6-0.0498993314487596*t^5-0.5688139103189529*t^4+0.6153793461562325*t^3-0.7350803608182011*t^2+23.84029057703091*t+54.17967299839549,-0.0001197974192809151*t^10-0.01218645989452908*t^9+0.930664701782293*t^8-3.09057285141923*t^7-106.1712642568836*t^6+259.520976981516*t^5+4519.618385312951*t^4+222622.5855656754*t^3-1711384.682989328*t^2+1902357.128520304*t+6286667.324883452,-0.001406838406562799*t^12+0.1519323953550156*t^11+2.584732730869594*t^10-150.7962064210362*t^9-262.0301613510729*t^8+17744.12521575149*t^7-13476.75509385929*t^6-859351.2749429687*t^5+1566547.873799742*t^4+3520376.770811527*t^3-18836691.96538149*t^2+114124936.8879872*t-58916814.60879327,0.00148759516481655*t^12+0.02460836072702828*t^11-2.249031989783451*t^10-18.02384762304799*t^9+927.0877651769491*t^8-1522.276211545523*t^7+19383.80934184819*t^6+67659.76102460983*t^5-1386740.721429964*t^4-610374.8294963217*t^3+13331774.64448785*t^2-224261.2630991746*t+4665667.202994095] Nearest singular point at t=0.29707179400192910624588843455874739954 oh_hash.push_restrict Te=0.1349023089155392 t in [0,0.1349] N=13490,M=24 ooooo monotonely increasing here. break. t = [0 -> 0.0012] (121) y0 = [0.246971021089289,0.2469710199504639,0.2469710188251245,0.2469710177132709,0.246971016614903,0.246971015530021,0.2469710144586247,0.2469710134007142,0.2469710123562894,0.2469710113253505,0.2469710103078973,0.2469710093039298,0.2469710083134482,0.2469710073364523,0.2469710063729422,0.2469710054229179,0.2469710044863793,0.2469710035633265,0.2469710026537595,0.2469710017576783,0.2469710008750828,0.2469710000059731,0.2469709991503492,0.246970998308211,0.2469709974795586,0.246970996664392,0.2469709958627111,0.246970995074516,0.2469709942998067,0.2469709935385832,0.2469709927908454,0.2469709920565935,0.2469709913358272,0.2469709906285468,0.2469709899347521,0.2469709892544432,0.24697098858762,0.2469709879342826,0.246970987294431,0.2469709866680652,0.2469709860551851,0.2469709854557908,0.2469709848698822,0.2469709842974594,0.2469709837385224,0.2469709831930711,0.2469709826611056,0.2469709821426259,0.2469709816376319,0.2469709811461237,0.2469709806681013,0.2469709802035646,0.2469709797525138,0.2469709793149486,0.2469709788908692,0.2469709784802756,0.2469709780831678,0.2469709776995457,0.2469709773294094,0.2469709769727589,0.2469709766295941,0.246970976299915,0.2469709759837218,0.2469709756810143,0.2469709753917926,0.2469709751160566,0.2469709748538064,0.2469709746050419,0.2469709743697632,0.2469709741479703,0.2469709739396632,0.2469709737448418,0.2469709735635061,0.2469709733956562,0.2469709732412921,0.2469709731004138,0.2469709729730212,0.2469709728591143,0.2469709727586933,0.2469709726717579,0.2469709725983084,0.2469709725383446,0.2469709724918666,0.2469709724588743,0.2469709724393678,0.246970972433347,0.246970972440812,0.2469709724617628,0.2469709724961993,0.2469709725441216,0.2469709726055296,0.2469709726804234,0.2469709727688029,0.2469709728706683,0.2469709729860193,0.2469709731148562,0.2469709732571788,0.2469709734129871,0.2469709735822812,0.2469709737650611,0.2469709739613267,0.2469709741710781,0.2469709743943152,0.2469709746310381,0.2469709748812468,0.2469709751449412,0.2469709754221213,0.2469709757127872,0.2469709760169389,0.2469709763345763,0.2469709766656995,0.2469709770103085,0.2469709773684032,0.2469709777399836,0.2469709781250498,0.2469709785236018,0.2469709789356395,0.246970979361163,0.2469709798001723,0.2469709802526673,0.246970980718648] min(y0) = y0[85] DtY=PY has min Y = [ 0.246970972433347 0.007368406903948724 1.05256986541706 0.0002464676415117218 ] at t=17/20000,X=[2.954973693031708,0.1995128734268055,0.8805556195678063,-0.432832353276641,-0.3161156628887048,2.392054157959168,0.3777261173608813,5.571022582346988,0.2505286047384938] Step <31> Xp=[2.954973693031708,0.1995128734268055,0.8805556195678063,-0.432832353276641,-0.3161156628887048,2.392054157959168,0.3777261173608813,5.571022582346988,0.2505286047384938] Yp=[ 0.246970972433347 0.007368406903948724 1.05256986541706 0.0002464676415117218 ] Gp=-(grad f)(Xp)=[ -1.131261710589576e-05 2.183818443513702e-06 -2.101560913339313e-05 6.130980210208165e-05 -9.554002192766527e-06 2.424937111943776e-05 3.432727896601762e-06 -3.770221681020924e-06 4.093468799263016e-06 ] |Gp|=7.110103843515301e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1591062149705918 0.03071429745017623 -0.2955738705920618 0.8622912330316896 -0.1343721892540312 0.3410550907994706 0.04827957470315355 -0.05302625339937218 0.05757255997036419 ] X(t)=[-0.1591062149705918*t+2.954973693031708,0.03071429745017623*t+0.1995128734268055,-0.2955738705920618*t+0.8805556195678063,0.8622912330316896*t-0.432832353276641,-0.1343721892540312*t-0.3161156628887048,0.3410550907994706*t+2.392054157959168,0.04827957470315355*t+0.3777261173608813,-0.05302625339937218*t+5.571022582346988,0.05757255997036419*t+0.2505286047384938] Singular locus = [0.05757255997036419*t+0.2505286047384938,-0.05302625339937218*t+5.571022582346988,0.04827957470315355*t+0.3777261173608813,0.3410550907994706*t+2.392054157959168,0.8622912330316896*t-0.432832353276641,0.03071429745017623*t+0.1995128734268055,-0.1591062149705918*t+2.954973693031708,0.01034872274370178*t^2-1.825047607791989*t-13.40538374814703,0.7616020558082329*t^2-0.6615007798461563*t+0.2872729583665602,-0.005105218990493605*t^2-0.5055143776938958*t-0.8477578412770937,-0.1413230416797764*t^2+2.580395974701832*t-1.342077361663626,0.203682487937008*t^2+1.111106030585536*t+6.497301293762189,0.02625815571012607*t^2-0.9280535637927525*t+8.771674913172474,0.01182015608937875*t^3+0.03365246843226417*t^2-2.407526860505762*t-2.856542671984299,0.02604212196918023*t^3-0.5271252228738563*t^2-0.5882413743439892*t+4.439174702178881,-0.01101177003520202*t^3+0.1873920016660811*t^2+1.158050455104777*t-1.348369386680474,0.002747410932280512*t^4-0.4252593381300879*t^3+27.10849594624941*t^2+26.6107974315021*t+185.9812816252005,0.03782638754088118*t^4+0.1462247513376615*t^3+0.8128703626171401*t^2+13.73012408107267*t+5.293634521391515,0.07003583198113975*t^4+0.09650408414756234*t^3+2.519805213381999*t^2+5.863501279306564*t+11.2323615561909,0.0001984239339951792*t^5-0.02643956890535697*t^4+0.1982857260866159*t^3+3.410737098299183*t^2+0.7776061783447226*t-51.49426041184127,0.0004114465211747791*t^6+0.00137742714429008*t^5-0.1942127545816119*t^4+0.2839202793728111*t^3+4.765383102951425*t^2-4.568511394374362*t-14.71786275977328,0.03123400592162414*t^6-0.06349761561620444*t^5-1.075416863614639*t^4+9.633187390616392*t^3+3.705639200681932*t^2-151.1430057336016*t+591.606467452113,0.003814657605785038*t^8+0.006425988649399108*t^7-1.391626309724246*t^6-0.1216700205552013*t^5-30.25364332665901*t^4+6.606404873112897*t^3-9.978222215316091*t^2+598.6878468280656*t-123.3385967952402,-0.001190553384318428*t^9+0.1407622017757518*t^8-7.137230084090712*t^7-1.566119581673634*t^6-128.9381690888504*t^5+374.8743471469431*t^4-412.1622958940425*t^3+365.9979902670872*t^2+59.80877963688953*t+54.19993671466804,-3.535103166301917e-05*t^10-0.001619634636889363*t^9-0.01510457611070467*t^8+12.48978985624054*t^7-25.5401837127276*t^6+214.3481775983714*t^5-13979.54200298371*t^4-20314.9980824274*t^3-416093.4575954212*t^2-1770362.898096233*t+6288283.092103979,-0.004329138686293997*t^12-0.1819865059561892*t^11+2.073409477011186*t^10+99.59022146589805*t^9-212.7565182352426*t^8+761.7499468754202*t^7-42385.52343033228*t^6-273664.9437450989*t^5+1784739.943496919*t^4+7892069.014303596*t^3-14284510.80819546*t^2-71033496.32496293*t-58819822.01978566,0.001348411991626823*t^12+0.02433204967192019*t^11-1.750985875517676*t^10-16.74952940321137*t^9+669.8544170513233*t^8-44.65484802670306*t^7-11949.37357625862*t^6+27708.73383228649*t^5-300252.707839945*t^4-394371.2352827105*t^3+5495473.81580355*t^2-341779.6780109243*t+4665486.212752047] Nearest singular point at t=0.20672216658414111861892576917588047882 oh_hash.push_restrict Te=0.20672216658414111861892576917588047882 t in [0,0.20672] N=20672,M=24 oooooo monotonely increasing here. break. t = [0 -> 0.00144] (145) y0 = [0.246970972433347,0.2469709717252785,0.246970971023094,0.2469709703267932,0.2469709696363764,0.2469709689518434,0.2469709682731943,0.246970967600429,0.2469709669335476,0.2469709662725501,0.2469709656174364,0.2469709649682066,0.2469709643248607,0.2469709636873986,0.2469709630558204,0.2469709624301261,0.2469709618103156,0.246970961196389,0.2469709605883462,0.2469709599861874,0.2469709593899124,0.2469709587995212,0.2469709582150139,0.2469709576363905,0.246970957063651,0.2469709564967953,0.2469709559358235,0.2469709553807355,0.2469709548315314,0.2469709542882112,0.2469709537507748,0.2469709532192223,0.2469709526935537,0.2469709521737689,0.246970951659868,0.246970951151851,0.2469709506497178,0.2469709501534685,0.246970949663103,0.2469709491786214,0.2469709487000237,0.2469709482273099,0.2469709477604799,0.2469709472995338,0.2469709468444715,0.2469709463952931,0.2469709459519986,0.2469709455145879,0.2469709450830611,0.2469709446574181,0.2469709442376591,0.2469709438237838,0.2469709434157925,0.246970943013685,0.2469709426174614,0.2469709422271217,0.2469709418426658,0.2469709414640937,0.2469709410914056,0.2469709407246013,0.2469709403636808,0.2469709400086443,0.2469709396594916,0.2469709393162227,0.2469709389788378,0.2469709386473367,0.2469709383217194,0.246970938001986,0.2469709376881365,0.2469709373801708,0.2469709370780891,0.2469709367818911,0.2469709364915771,0.2469709362071469,0.2469709359286006,0.2469709356559381,0.2469709353891595,0.2469709351282647,0.2469709348732539,0.2469709346241268,0.2469709343808837,0.2469709341435244,0.246970933912049,0.2469709336864575,0.2469709334667498,0.2469709332529259,0.246970933044986,0.2469709328429299,0.2469709326467576,0.2469709324564693,0.2469709322720647,0.2469709320935441,0.2469709319209073,0.2469709317541544,0.2469709315932853,0.2469709314383002,0.2469709312891988,0.2469709311459814,0.2469709310086478,0.246970930877198,0.2469709307516322,0.2469709306319502,0.246970930518152,0.2469709304102377,0.2469709303082073,0.2469709302120608,0.2469709301217981,0.2469709300374193,0.2469709299589243,0.2469709298863132,0.246970929819586,0.2469709297587426,0.2469709297037831,0.2469709296547075,0.2469709296115157,0.2469709295742078,0.2469709295427837,0.2469709295172436,0.2469709294975873,0.2469709294838148,0.2469709294759262,0.2469709294739215,0.2469709294778006,0.2469709294875636,0.2469709295032105,0.2469709295247412,0.2469709295521558,0.2469709295854543,0.2469709296246366,0.2469709296697028,0.2469709297206528,0.2469709297774868,0.2469709298402046,0.2469709299088062,0.2469709299832917,0.2469709300636611,0.2469709301499143,0.2469709302420514,0.2469709303400724,0.2469709304439772,0.2469709305537659,0.2469709306694384,0.2469709307909949,0.2469709309184351,0.2469709310517593] min(y0) = y0[121] DtY=PY has min Y = [ 0.2469709294739215 0.00737308284339481 1.052550858420177 0.0002456078356228752 ] at t=121/100000,X=[2.954781174511594,0.1995500377267202,0.8801979751843899,-0.4317889808846727,-0.3162782532377022,2.392466834619036,0.3777845356462721,5.570958420580374,0.2505982675360579] Step <32> Xp=[2.954781174511594,0.1995500377267202,0.8801979751843899,-0.4317889808846727,-0.3162782532377022,2.392466834619036,0.3777845356462721,5.570958420580374,0.2505982675360579] Yp=[ 0.2469709294739215 0.00737308284339481 1.052550858420177 0.0002456078356228752 ] Gp=-(grad f)(Xp)=[ 4.535095674357975e-05 -2.613847502765283e-06 -8.285659688873469e-05 -6.485370964762031e-06 1.825175014094421e-06 -3.444967841930574e-05 -5.931445938404944e-06 -2.567303101108642e-06 7.797789777546239e-06 ] |Gp|=0.0001013089699356985 Gp=Normalize(-(grad f)(Xp))=[ 0.4476499639900034 -0.02580075095447433 -0.8178604218493623 -0.0640157625615811 0.01801592707193522 -0.3400456883647243 -0.05854808258508281 -0.02534132074127423 0.07697037865941736 ] X(t)=[0.4476499639900034*t+2.954781174511594,-0.02580075095447433*t+0.1995500377267202,-0.8178604218493623*t+0.8801979751843899,-0.0640157625615811*t-0.4317889808846727,0.01801592707193522*t-0.3162782532377022,-0.3400456883647243*t+2.392466834619036,-0.05854808258508281*t+0.3777845356462721,-0.02534132074127423*t+5.570958420580374,0.07697037865941736*t+0.2505982675360579] Singular locus = [0.07697037865941736*t+0.2505982675360579,-0.02534132074127423*t+5.570958420580374,-0.05854808258508281*t+0.3777845356462721,-0.3400456883647243*t+2.392466834619036,-0.0640157625615811*t-0.4317889808846727,-0.02580075095447433*t+0.1995500377267202,0.4476499639900034*t+2.954781174511594,-0.007230514126910558*t^2+1.935179363595291*t-13.40759204060089,0.004422591484602017*t^2+0.04388650986450158*t+0.2864736574845164,0.006413174357986211*t^2-0.08671495864557405*t-0.8483695211486545,-0.02912147825308136*t^2-0.3706875964622793*t-1.338955289445302,0.784526739803056*t^2-3.066854237926125*t+6.498646030270729,0.2010561690100661*t^2+2.635118291084224*t+8.770552006804849,-0.015908918153401*t^3-0.03108876257412116*t^2+0.05400663819722995*t-2.859455730193991,-0.02618260060357032*t^3-0.3138740440018961*t^2-0.2637748158601401*t+4.43846215839802,0.02024359024990236*t^3-0.1910793536482086*t^2+1.005647912591135*t-1.346967871288676,0.0006762906990853563*t^4-0.04086239478685526*t^3+4.162562572330258*t^2-50.63973816793035*t+186.0135203788882,0.2139862729686536*t^4-2.630846614730576*t^3+10.76687392956661*t^2-20.83077541963414*t+5.310249161912239,0.07079762957608605*t^4+0.487583514130023*t^3-2.406148742318114*t^2-15.26719801147956*t+11.23946008215679,-2.722806253769639e-05*t^5+0.002941999447647764*t^4+0.1992603246583564*t^3-6.868941625932847*t^2-60.06734270243686*t-51.49331451435403,-0.0003013549911677508*t^6+0.000818484655515496*t^5+0.242136882611642*t^4-0.3904581777421974*t^3-2.930166367355642*t^2+5.941388070595268*t-14.7233836810605,0.0001783741315072896*t^6+0.01017041410878971*t^5-0.5277447185457739*t^4-19.35141402323594*t^3+729.2954556631182*t^2-1285.157651205136*t+591.4235898576651,0.002049731259534396*t^8+0.02973009256511222*t^7+0.5273576297347373*t^6-8.610437318715585*t^5+42.377377525444*t^4-119.8938777608901*t^3+499.396337554508*t^2-1115.976169848621*t-122.6141990980543,1.051600330966975e-05*t^9-0.000161942077751588*t^8-7.777827602219937e-05*t^7+0.01102816299473683*t^6-0.04692305395477972*t^5-0.5555958258590881*t^4+0.6857695467710858*t^3-1.116124921115754*t^2+22.37035262746997*t+54.2728404663188,-0.0001261124418806183*t^10-0.0125571005664829*t^9+0.9289609987162242*t^8-2.804036544066627*t^7-113.9301779973481*t^6+355.6586145470536*t^5+2945.629716868083*t^4+230338.1311974927*t^3-1722313.760287815*t^2+1888581.030887468*t+6286140.34375883,-0.001577798792067298*t^12+0.145921573626725*t^11+2.885105409164169*t^10-147.5129252431553*t^9-326.4282419979234*t^8+17629.94260472999*t^7-7590.685973682417*t^6-861830.9432470353*t^5+1549920.277869799*t^4+3516463.104056739*t^3-19784276.59111866*t^2+114700976.3294491*t-58905793.45030607,0.001476056048849324*t^12+0.0261189108742573*t^11-2.232573623407369*t^10-19.17767803756138*t^9+930.3154841089923*t^8-1621.346783639791*t^7+19220.11944405276*t^6+71969.89398079508*t^5-1384837.491342141*t^4-648812.8572671739*t^3+13328842.96137525*t^2-235277.9203043945*t+4665080.704565576] Nearest singular point at t=0.29739627078165413111501282362994415168 oh_hash.push_restrict Te=0.1335166395966067 t in [0,0.13352] N=13352,M=24 oooo monotonely increasing here. break. t = [0 -> 0.00096] (97) y0 = [0.2469709294739215,0.2469709284675738,0.24697092747471,0.2469709264953301,0.2469709255294342,0.2469709245770222,0.2469709236380942,0.2469709227126501,0.2469709218006899,0.2469709209022136,0.2469709200172213,0.246970919145713,0.2469709182876886,0.2469709174431481,0.2469709166120915,0.2469709157945189,0.2469709149904302,0.2469709141998254,0.2469709134227046,0.2469709126590678,0.2469709119089148,0.2469709111722458,0.2469709104490607,0.2469709097393596,0.2469709090431424,0.2469709083604092,0.2469709076911598,0.2469709070353945,0.246970906393113,0.2469709057643154,0.2469709051490018,0.2469709045471722,0.2469709039588264,0.2469709033839646,0.2469709028225868,0.2469709022746928,0.2469709017402828,0.2469709012193567,0.2469709007119146,0.2469709002179564,0.2469708997374821,0.2469708992704917,0.2469708988169853,0.2469708983769628,0.2469708979504243,0.2469708975373696,0.2469708971377989,0.2469708967517121,0.2469708963791093,0.2469708960199904,0.2469708956743554,0.2469708953422043,0.2469708950235372,0.246970894718354,0.2469708944266547,0.2469708941484394,0.2469708938837079,0.2469708936324604,0.2469708933946969,0.2469708931704172,0.2469708929596215,0.2469708927623097,0.2469708925784819,0.2469708924081379,0.2469708922512779,0.2469708921079019,0.2469708919780097,0.2469708918616015,0.2469708917586772,0.2469708916692368,0.2469708915932804,0.2469708915308078,0.2469708914818192,0.2469708914463146,0.2469708914242938,0.246970891415757,0.2469708914207041,0.2469708914391351,0.2469708914710501,0.246970891516449,0.2469708915753318,0.2469708916476985,0.2469708917335491,0.2469708918328837,0.2469708919457022,0.2469708920720046,0.246970892211791,0.2469708923650612,0.2469708925318154,0.2469708927120535,0.2469708929057756,0.2469708931129815,0.2469708933336714,0.2469708935678452,0.2469708938155029,0.2469708940766445,0.2469708943512701] min(y0) = y0[75] DtY=PY has min Y = [ 0.246970891415757 0.007368804599625266 1.052552266597798 0.0002467618140255296 ] at t=3/4000,X=[2.955116911984586,0.1995306871635043,0.8795845798680029,-0.4318369927065939,-0.3162647412923982,2.392211800352762,0.3777406245843333,5.570939414589819,0.2506559953200524] Step <33> Xp=[2.955116911984586,0.1995306871635043,0.8795845798680029,-0.4318369927065939,-0.3162647412923982,2.392211800352762,0.3777406245843333,5.570939414589819,0.2506559953200524] Yp=[ 0.246970891415757 0.007368804599625266 1.052552266597798 0.0002467618140255296 ] Gp=-(grad f)(Xp)=[ -1.007953935033487e-05 1.876015690564564e-06 -1.879234862745948e-05 5.414094445478201e-05 -8.197891824400288e-06 2.112912990826117e-05 3.122681870672273e-06 -3.493767274348469e-06 3.419524775238837e-06 ] |Gp|=6.274398014426495e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1606455205289711 0.02989953277192663 -0.2995083924266665 0.8628866758260746 -0.1306562287816485 0.3367515076295723 0.04976862901416843 -0.05568290800671837 0.05449964709564883 ] X(t)=[-0.1606455205289711*t+2.955116911984586,0.02989953277192663*t+0.1995306871635043,-0.2995083924266665*t+0.8795845798680029,0.8628866758260746*t-0.4318369927065939,-0.1306562287816485*t-0.3162647412923982,0.3367515076295723*t+2.392211800352762,0.04976862901416843*t+0.3777406245843333,-0.05568290800671837*t+5.570939414589819,0.05449964709564883*t+0.2506559953200524] Singular locus = [0.05449964709564883*t+0.2506559953200524,-0.05568290800671837*t+5.570939414589819,0.04976862901416843*t+0.3777406245843333,0.3367515076295723*t+2.392211800352762,0.8628866758260746*t-0.4318369927065939,0.02989953277192663*t+0.1995306871635043,-0.1606455205289711*t+2.955116911984586,0.011630584861013*t^2-1.79280302102376*t-13.40614066014536,0.7616444654376155*t^2-0.6626088574829064*t+0.2865065748546224,-0.0048105705593403*t^2-0.4945585643951465*t-0.848434553760228,-0.1425254393899065*t^2+2.583777592228939*t-1.33923332152348,0.203106855024796*t^2+1.084275933636991*t+6.496346330888576,0.02670096532600359*t^2-0.9375208404597587*t+8.772528458617259,0.01140455224802427*t^3+0.03683666708331632*t^2-2.371490714997424*t-2.859415242709484,0.02500388604044853*t^3-0.5123845543084279*t^2-0.6237208053357765*t+4.43826415072093,-0.0103075176595622*t^3+0.1807545001923572*t^2+1.164589825650044*t-1.346213742827829,0.002777408573925187*t^4-0.4517740510730778*t^3+27.00694193993128*t^2+25.78920627934285*t+185.9755429166865,0.03829848044353596*t^4+0.148727506021919*t^3+0.7466892084538871*t^2+13.64302245669976*t+5.294632135604279,0.0707490042320601*t^4+0.09311388709277335*t^3+2.500354564463971*t^2+5.778778201159313*t+11.22800833039524,0.0001913224643458726*t^5-0.02407087968687784*t^4+0.1650224454523732*t^3+3.200229001216369*t^2+1.549413241364086*t-51.53836888507649,0.0003715548750197345*t^6+0.001737392547145567*t^5-0.1900288083824536*t^4+0.2334500932012028*t^3+4.650751209516004*t^2-4.415645385024732*t-14.71892928839079,0.03237800985629983*t^6-0.06646002993440522*t^5-1.139426431026408*t^4+9.859067152609947*t^3+4.251268013698907*t^2-157.6710342590176*t+590.4601318397912,0.003474808715272115*t^8+0.007711860243229542*t^7-1.368508821431681*t^6-0.06274679746761813*t^5-29.71960259890582*t^4+6.158488556492966*t^3-17.27744250290196*t^2+593.5639318745898*t-123.4509003655678,-0.001187122393110084*t^9+0.1466581216424076*t^8-7.104535247588895*t^7-0.8220365482043925*t^6-130.117555953187*t^5+375.5136545200526*t^4-413.7309782743623*t^3+361.7106361009685*t^2+58.80435702814403*t+54.28961760325828,-3.485380711339181e-05*t^10-0.001240636208936678*t^9-0.02059429649936417*t^8+12.1789545625092*t^7-25.82266774175251*t^6+243.3898020386826*t^5-13743.14755212988*t^4-17880.9402160526*t^3-388749.1524799206*t^2-1785355.628538594*t+6287555.810827685,-0.004277860090335771*t^12-0.1828402915280357*t^11+1.901086907801103*t^10+97.57355858517202*t^9-210.7994841270404*t^8+759.5143516952207*t^7-39620.40701019028*t^6-273054.6530233999*t^5+1679999.705392001*t^4+7841724.12176601*t^3-13289487.40342848*t^2-69770613.54304975*t-58819778.84523048,0.001410848786385625*t^12+0.02631745147575429*t^11-1.775736078778035*t^10-17.5431613193402*t^9+663.0587543170101*t^8-44.4763249497445*t^7-11994.88110098438*t^6+29051.42996729917*t^5-293090.2098316643*t^4-414985.0669385616*t^3+5431030.167951606*t^2-363115.9057148453*t+4664911.74332536] Nearest singular point at t=0.20925826362472715393233148212501148940 oh_hash.push_restrict Te=0.20925826362472715393233148212501148940 t in [0,0.20926] N=20926,M=24 oooooo monotonely increasing here. break. t = [0 -> 0.00144] (145) y0 = [0.246970891415757,0.2469708907912274,0.246970890172518,0.246970889559629,0.2469708889525603,0.2469708883513119,0.2469708877558839,0.2469708871662761,0.2469708865824887,0.2469708860045216,0.2469708854323747,0.2469708848660483,0.2469708843055421,0.2469708837508562,0.2469708832019906,0.2469708826589454,0.2469708821217205,0.2469708815903159,0.2469708810647316,0.2469708805449676,0.2469708800310239,0.2469708795229006,0.2469708790205975,0.2469708785241148,0.2469708780334524,0.2469708775486103,0.2469708770695886,0.2469708765963871,0.246970876129006,0.2469708756674451,0.2469708752117046,0.2469708747617844,0.2469708743176845,0.2469708738794049,0.2469708734469457,0.2469708730203067,0.2469708725994881,0.2469708721844898,0.2469708717753118,0.2469708713719541,0.2469708709744167,0.2469708705826997,0.2469708701968029,0.2469708698167265,0.2469708694424704,0.2469708690740346,0.2469708687114191,0.246970868354624,0.2469708680036491,0.2469708676584945,0.2469708673191603,0.2469708669856464,0.2469708666579528,0.2469708663360795,0.2469708660200266,0.2469708657097939,0.2469708654053816,0.2469708651067896,0.2469708648140179,0.2469708645270665,0.2469708642459354,0.2469708639706246,0.2469708637011342,0.246970863437464,0.2469708631796142,0.2469708629275847,0.2469708626813755,0.2469708624409866,0.2469708622064181,0.2469708619776698,0.2469708617547419,0.2469708615376343,0.246970861326347,0.24697086112088,0.2469708609212333,0.2469708607274069,0.2469708605394009,0.2469708603572151,0.2469708601808497,0.2469708600103046,0.2469708598455798,0.2469708596866753,0.2469708595335912,0.2469708593863273,0.2469708592448838,0.2469708591092606,0.2469708589794577,0.2469708588554751,0.2469708587373128,0.2469708586249708,0.2469708585184492,0.2469708584177479,0.2469708583228668,0.2469708582338061,0.2469708581505657,0.2469708580731457,0.2469708580015459,0.2469708579357665,0.2469708578758074,0.2469708578216685,0.24697085777335,0.2469708577308518,0.2469708576941739,0.2469708576633164,0.2469708576382791,0.2469708576190622,0.2469708576056656,0.2469708575980893,0.2469708575963333,0.2469708576003976,0.2469708576102823,0.2469708576259872,0.2469708576475124,0.246970857674858,0.2469708577080239,0.2469708577470101,0.2469708577918166,0.2469708578424435,0.2469708578988906,0.2469708579611581,0.2469708580292459,0.246970858103154,0.2469708581828824,0.2469708582684311,0.2469708583598001,0.2469708584569894,0.2469708585599991,0.2469708586688291,0.2469708587834794,0.24697085890395,0.2469708590302409,0.2469708591623521,0.2469708593002837,0.2469708594440355,0.2469708595936077,0.2469708597490002,0.2469708599102131,0.2469708600772462,0.2469708602500996,0.2469708604287734,0.2469708606132675,0.2469708608035818,0.2469708609997165,0.2469708612016715,0.2469708614094469] min(y0) = y0[108] DtY=PY has min Y = [ 0.2469708575963333 0.007373003258348529 1.052534795450835 0.0002459818510798259 ] at t=27/25000,X=[2.954943414822415,0.199562978658898,0.8792611108041821,-0.4309050750967018,-0.3164058500194824,2.392575491981003,0.3777943747036686,5.570879277049172,0.2507148549389158] Step <34> Xp=[2.954943414822415,0.199562978658898,0.8792611108041821,-0.4309050750967018,-0.3164058500194824,2.392575491981003,0.3777943747036686,5.570879277049172,0.2507148549389158] Yp=[ 0.2469708575963333 0.007373003258348529 1.052534795450835 0.0002459818510798259 ] Gp=-(grad f)(Xp)=[ 4.020268432684219e-05 -2.366143347847329e-06 -7.36325847950749e-05 -6.047687059953545e-06 1.839064784843133e-06 -3.095703923733893e-05 -5.218187313849737e-06 -2.423046170957344e-06 6.761465594866357e-06 ] |Gp|=9.011506538870111e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.4461261183513819 -0.02625691206726909 -0.8170951713508624 -0.06711072154103792 0.02040796149800853 -0.3435279007323498 -0.05790582619389641 -0.02688835835057999 0.07503146744333528 ] X(t)=[0.4461261183513819*t+2.954943414822415,-0.02625691206726909*t+0.199562978658898,-0.8170951713508624*t+0.8792611108041821,-0.06711072154103792*t-0.4309050750967018,0.02040796149800853*t-0.3164058500194824,-0.3435279007323498*t+2.392575491981003,-0.05790582619389641*t+0.3777943747036686,-0.02688835835057999*t+5.570879277049172,0.07503146744333528*t+0.2507148549389158] Singular locus = [0.07503146744333528*t+0.2507148549389158,-0.02688835835057999*t+5.570879277049172,-0.05790582619389641*t+0.3777943747036686,-0.3435279007323498*t+2.392575491981003,-0.06711072154103792*t-0.4309050750967018,-0.02625691206726909*t+0.199562978658898,0.4461261183513819*t+2.954943414822415,-0.007705661999591227*t^2+1.959461074359208*t-13.40807687384215,0.00492033383826293*t^2+0.04492230420098506*t+0.2857918456706454,0.007342404332296984*t^2-0.07877396342984819*t-0.8489686826208244,-0.03047569575138914*t^2-0.3781658790460433*t-1.336443007965546,0.7856559376264705*t^2-3.080712888197191*t+6.49751758580074,0.1997179389065795*t^2+2.626075056040345*t+8.771515967253569,-0.01581091949763899*t^3-0.02721756394846741*t^2+0.08251021341005393*t-2.861976409701027,-0.02526943367796938*t^3-0.3118112201986312*t^2-0.2790259732286209*t+4.437589934637321,0.02028987991178991*t^3-0.1902087937901085*t^2+1.001954517033894*t-1.344955774997062,0.0006896842096019655*t^4-0.0434438619633907*t^3+4.281772220258593*t^2-51.21731824386616*t+186.0034267597961,0.2159821481786329*t^4-2.645004193502543*t^3+10.83066958860564*t^2-20.88364139484235*t+5.309367470983213,0.07142916273948476*t^4+0.4990155098319313*t^3-2.372077631781281*t^2-15.3182575086256*t+11.23425232738344,-3.004862356517301e-05*t^5+0.00293263631955536*t^4+0.2141863591239452*t^3-6.667846514476874*t^2-59.56537874162063*t-51.53669178582086,-0.0002996451875736795*t^6-0.0002764519369957358*t^5+0.2352849861831227*t^4-0.3683341383460592*t^3-2.875434811716572*t^2+6.017687713177105*t-14.72369276047658,0.0002026693908357295*t^6+0.01154000035739264*t^5-0.5615760872694192*t^4-20.28966188829064*t^3+730.5076976399886*t^2-1284.359052364128*t+590.2898520938885,0.002038052147998752*t^8+0.02686045877638027*t^7+0.5645566144283759*t^6-8.803046631946772*t^5+42.96802012686447*t^4-122.0327472986599*t^3+507.1939851729547*t^2-1118.257485411134*t-122.8098714638348,1.072336175984898e-05*t^9-0.0001645576136721439*t^8-5.356934497993942e-05*t^7+0.01089183301516421*t^6-0.05046712493213183*t^5-0.5933719409155104*t^4+0.793098238179722*t^3-0.6870916965529101*t^2+20.93626942207488*t+54.35354768746348,-0.0001360623861398281*t^10-0.01275089030196495*t^9+0.93212293826047*t^8-2.461065064922801*t^7-119.1174444100505*t^6+396.8008701117514*t^5+1842.556712476019*t^4+238627.5596310838*t^3-1741029.097379199*t^2+1877683.178351917*t+6285627.173289311,-0.0018257879461551*t^12+0.1469765854725769*t^11+3.216544959726808*t^10-146.1780003516894*t^9-401.3210080622195*t^8+17709.8964736477*t^7-1816.476739338942*t^6-868333.4337125097*t^5+1537861.480960239*t^4+3519638.830590338*t^3-20750815.60308832*t^2+115472030.1807766*t-58895146.5988346,0.001567983124077777*t^12+0.02839248254852404*t^11-2.286556387011711*t^10-20.0370972457144*t^9+925.0175362618738*t^8-1748.070607124789*t^7+19768.51701001387*t^6+76811.20429853628*t^5-1396502.028505966*t^4-689777.9506768999*t^3+13398940.64108794*t^2-246558.1785719333*t+4664525.912377621] Nearest singular point at t=0.29664806423762191151761800160424592369 oh_hash.push_restrict Te=0.1324951053439706 t in [0,0.1325] N=13250,M=24 oooo monotonely increasing here. break. t = [0 -> 0.00096] (97) y0 = [0.2469708575963333,0.246970856701959,0.2469708558211376,0.2469708549538691,0.2469708541001533,0.2469708532599905,0.2469708524333804,0.2469708516203232,0.2469708508208188,0.2469708500348672,0.2469708492624685,0.2469708485036226,0.2469708477583295,0.2469708470265893,0.2469708463084019,0.2469708456037673,0.2469708449126856,0.2469708442351567,0.2469708435711807,0.2469708429207574,0.246970842283887,0.2469708416605695,0.2469708410508047,0.2469708404545928,0.2469708398719337,0.2469708393028275,0.2469708387472741,0.2469708382052735,0.2469708376768257,0.2469708371619308,0.2469708366605887,0.2469708361727994,0.246970835698563,0.2469708352378794,0.2469708347907486,0.2469708343571707,0.2469708339371455,0.2469708335306732,0.2469708331377538,0.2469708327583871,0.2469708323925733,0.2469708320403123,0.2469708317016041,0.2469708313764488,0.2469708310648463,0.2469708307667966,0.2469708304822998,0.2469708302113557,0.2469708299539645,0.2469708297101262,0.2469708294798406,0.2469708292631079,0.246970829059928,0.246970828870301,0.2469708286942267,0.2469708285317053,0.2469708283827367,0.246970828247321,0.246970828125458,0.2469708280171479,0.2469708279223906,0.2469708278411861,0.2469708277735344,0.2469708277194356,0.2469708276788896,0.2469708276518964,0.246970827638456,0.2469708276385685,0.2469708276522338,0.2469708276794519,0.2469708277202229,0.2469708277745466,0.2469708278424232,0.2469708279238526,0.2469708280188348,0.2469708281273698,0.2469708282494577,0.2469708283850984,0.2469708285342919,0.2469708286970383,0.2469708288733374,0.2469708290631894,0.2469708292665942,0.2469708294835518,0.2469708297140622,0.2469708299581255,0.2469708302157416,0.2469708304869105,0.2469708307716322,0.2469708310699067,0.2469708313817341,0.2469708317071143,0.2469708320460473,0.2469708323985331,0.2469708327645717,0.2469708331441632,0.2469708335373074] min(y0) = y0[66] DtY=PY has min Y = [ 0.246970827638456 0.007369242338787042 1.05253586492727 0.0002469941301387967 ] at t=33/50000,X=[2.955237858060527,0.1995456490969336,0.8787218279910906,-0.4309493681729188,-0.3163923807648937,2.392348763566519,0.3777561568583807,5.57086153073266,0.2507643757074284] Step <35> Xp=[2.955237858060527,0.1995456490969336,0.8787218279910906,-0.4309493681729188,-0.3163923807648937,2.392348763566519,0.3777561568583807,5.57086153073266,0.2507643757074284] Yp=[ 0.246970827638456 0.007369242338787042 1.05253586492727 0.0002469941301387967 ] Gp=-(grad f)(Xp)=[ -8.699831959724669e-06 1.600180991144528e-06 -1.711498651424479e-05 4.745347387166265e-05 -7.02646481725341e-06 1.80861910013333e-05 2.76095273662666e-06 -3.239805081295399e-06 2.918323234535032e-06 ] |Gp|=5.501018016192937e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1581494904055144 0.02908881567801077 -0.3111239858488861 0.8626307663777393 -0.1277302636815609 0.3287789814193359 0.05018985083305396 -0.05889464589569833 0.05305060310554486 ] X(t)=[-0.1581494904055144*t+2.955237858060527,0.02908881567801077*t+0.1995456490969336,-0.3111239858488861*t+0.8787218279910906,0.8626307663777393*t-0.4309493681729188,-0.1277302636815609*t-0.3163923807648937,0.3287789814193359*t+2.392348763566519,0.05018985083305396*t+0.3777561568583807,-0.05889464589569833*t+5.57086153073266,0.05305060310554486*t+0.2507643757074284] Singular locus = [0.05305060310554486*t+0.2507643757074284,-0.05889464589569833*t+5.57086153073266,0.05018985083305396*t+0.3777561568583807,0.3287789814193359*t+2.392348763566519,0.8626307663777393*t-0.4309493681729188,0.02908881567801077*t+0.1995456490969336,-0.1581494904055144*t+2.955237858060527,0.01258715416550309*t^2-1.739500652861813*t-13.40678363288966,0.7604468593616068*t^2-0.6626746030301417*t+0.2858214965347154,-0.004892431250742384*t^2-0.487034426536141*t-0.8490206702383367,-0.1401401382074945*t^2+2.58274202327273*t-1.336692610720929,0.2048937531936339*t^2+1.026325104216401*t+6.495484657526257,0.02585742051307319*t^2-0.9231296293468533*t+8.773249263787687,0.01176769933726442*t^3+0.03983871759834172*t^2-2.342976873412607*t-2.861921964820693,0.02441643554242571*t^3-0.5005459469925344*t^2-0.6538427045059719*t+4.437405641662759,-0.01039537760418402*t^3+0.1750570062278368*t^2+1.180579174205446*t-1.344294567864937,0.002985473492879492*t^4-0.4813872147782343*t^3+26.79634927766205*t^2+24.41121402373282*t+185.9696251948828,0.03991124728646919*t^4+0.1643156494076925*t^3+0.62771270972782*t^2+13.34869537049071*t+5.295588984741905,0.0735586772660225*t^4+0.09327961150260239*t^3+2.472336808519287*t^2+5.541173837190192*t+11.22414124429421,0.000193320801081942*t^5-0.02291668744824504*t^4+0.160252695618051*t^3+3.067317386149131*t^2+1.506841415901015*t-51.5760078402427,0.0003679796454879046*t^6+0.001948579283849975*t^5-0.1844466215225932*t^4+0.1925036189609342*t^3+4.530917791175042*t^2-4.22907359721812*t-14.71972233923113,0.03620907836192942*t^6-0.0718751605355675*t^5-1.354647687978926*t^4+10.51244806523411*t^3+6.70689578572691*t^2-176.4758459638401*t+589.4424933226483,0.003418220676551011*t^8+0.007344963193894053*t^7-1.300022427387697*t^6-0.01108191558324356*t^5-28.30732977294891*t^4+7.466584890768122*t^3-27.94091371590538*t^2+578.1689221785857*t-123.5477005055818,-0.001230026463566969*t^9+0.152480423900082*t^8-7.018745567179288*t^7+0.7007010716780322*t^6-130.3976103193842*t^5+372.7902893172449*t^4-411.7091745360838*t^3+356.3255452339304*t^2+58.26536349793917*t+54.36736532621281,-3.422840302369121e-05*t^10-0.001246984354671048*t^9-0.03276218989721585*t^8+12.16366926322535*t^7-25.79223739171681*t^6+308.8244619757363*t^5-13774.1486042748*t^4-15104.89452011972*t^3-344450.9827881634*t^2-1789405.456463951*t+6286865.685863353,-0.004685546090165239*t^12-0.2002280416574919*t^11+1.828819220850464*t^10+97.98139173254633*t^9-231.0774549531984*t^8+501.7684198558112*t^7-35155.24697605634*t^6-262510.589147646*t^5+1537583.545337578*t^4+7620511.012926276*t^3-12055447.48382287*t^2-67521770.44401748*t-58818944.09695835,0.001709304697432973*t^12+0.03003891574189031*t^11-1.916842047342993*t^10-17.76228964442799*t^9+638.2327710048091*t^8-31.11594184436079*t^7-11905.8832265268*t^6+29350.33644805005*t^5-271881.8322221712*t^4-426143.3856208411*t^3+5203143.558370294*t^2-388440.1113628561*t+4664369.020359744] Nearest singular point at t=0.21591755242408322299035477765288393178 oh_hash.push_restrict Te=0.21591755242408322299035477765288393178 t in [0,0.21592] N=21592,M=24 ooooo monotonely increasing here. break. t = [0 -> 0.0012] (121) y0 = [0.246970827638456,0.2469708270911532,0.2469708265494484,0.2469708260133414,0.2469708254828324,0.2469708249579214,0.2469708244386083,0.2469708239248932,0.246970823416776,0.2469708229142568,0.2469708224173355,0.2469708219260121,0.2469708214402868,0.2469708209601593,0.2469708204856298,0.2469708200166983,0.2469708195533647,0.246970819095629,0.2469708186434914,0.2469708181969516,0.2469708177560098,0.2469708173206659,0.24697081689092,0.2469708164667721,0.2469708160482221,0.24697081563527,0.2469708152279159,0.2469708148261598,0.2469708144300016,0.2469708140394413,0.246970813654479,0.2469708132751146,0.2469708129013482,0.2469708125331798,0.2469708121706093,0.2469708118136367,0.2469708114622621,0.2469708111164854,0.2469708107763067,0.2469708104417259,0.2469708101127431,0.2469708097893583,0.2469708094715714,0.2469708091593824,0.2469708088527914,0.2469708085517983,0.2469708082564032,0.246970807966606,0.2469708076824068,0.2469708074038055,0.2469708071308022,0.2469708068633968,0.2469708066015894,0.2469708063453799,0.2469708060947684,0.2469708058497548,0.2469708056103392,0.2469708053765215,0.2469708051483018,0.24697080492568,0.2469708047086561,0.2469708044972303,0.2469708042914023,0.2469708040911724,0.2469708038965403,0.2469708037075062,0.2469708035240701,0.2469708033462319,0.2469708031739917,0.2469708030073494,0.246970802846305,0.2469708026908587,0.2469708025410102,0.2469708023967597,0.2469708022581072,0.2469708021250526,0.246970801997596,0.2469708018757373,0.2469708017594765,0.2469708016488137,0.2469708015437489,0.246970801444282,0.246970801350413,0.246970801262142,0.246970801179469,0.2469708011023939,0.2469708010309168,0.2469708009650376,0.2469708009047563,0.246970800850073,0.2469708008009877,0.2469708007575003,0.2469708007196108,0.2469708006873193,0.2469708006606258,0.2469708006395302,0.2469708006240325,0.2469708006141328,0.2469708006098311,0.2469708006111273,0.2469708006180215,0.2469708006305135,0.2469708006486036,0.2469708006722916,0.2469708007015776,0.2469708007364615,0.2469708007769433,0.2469708008230231,0.2469708008747009,0.2469708009319766,0.2469708009948502,0.2469708010633218,0.2469708011373914,0.2469708012170589,0.2469708013023243,0.2469708013931877,0.2469708014896491,0.2469708015917084,0.2469708016993656,0.2469708018126208,0.246970801931474] min(y0) = y0[98] DtY=PY has min Y = [ 0.2469708006098311 0.007373008046570851 1.052519503970816 0.0002462943642630106 ] at t=49/50000,X=[2.95508287155993,0.1995741561362981,0.8784169264849586,-0.4301039900218687,-0.3165175564233016,2.39267096696831,0.377805342912197,5.570803813979682,0.2508163652984718] Step <36> Xp=[2.95508287155993,0.1995741561362981,0.8784169264849586,-0.4301039900218687,-0.3165175564233016,2.39267096696831,0.377805342912197,5.570803813979682,0.2508163652984718] Yp=[ 0.2469708006098311 0.007373008046570851 1.052519503970816 0.0002462943642630106 ] Gp=-(grad f)(Xp)=[ 3.595893938614049e-05 -2.160220031242974e-06 -6.574571791455319e-05 -6.099469375442888e-06 1.862627410621168e-06 -2.819289501772293e-05 -4.668789157891151e-06 -2.281056273034654e-06 5.91233315445916e-06 ] |Gp|=8.073214989533928e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.4454104025813441 -0.02675786578263396 -0.8143684764964835 -0.0755519255135681 0.02307169340883239 -0.3492152141900352 -0.0578306060713575 -0.02825462069314149 0.07323393669218367 ] X(t)=[0.4454104025813441*t+2.95508287155993,-0.02675786578263396*t+0.1995741561362981,-0.8143684764964835*t+0.8784169264849586,-0.0755519255135681*t-0.4301039900218687,0.02307169340883239*t-0.3165175564233016,-0.3492152141900352*t+2.39267096696831,-0.0578306060713575*t+0.377805342912197,-0.02825462069314149*t+5.570803813979682,0.07323393669218367*t+0.2508163652984718] Singular locus = [0.07323393669218367*t+0.2508163652984718,-0.02825462069314149*t+5.570803813979682,-0.0578306060713575*t+0.377805342912197,-0.3492152141900352*t+2.39267096696831,-0.0755519255135681*t-0.4301039900218687,-0.02675786578263396*t+0.1995741561362981,0.4454104025813441*t+2.95508287155993,-0.008177312482729703*t^2+1.995620389317776*t-13.40848833144076,0.006240396485558902*t^2+0.05038517719381887*t+0.2851728057569096,0.008254763966949765*t^2-0.06923189927898106*t-0.849497968675033,-0.03426896283440571*t^2-0.4017611443106746*t-1.33416165812871,0.7851472813329957*t^2-3.101824316732793*t+6.49649065290835,0.1991064101089165*t^2+2.62176894599833*t+8.772344621584393,-0.01613021342229303*t^3-0.02482168994683447*t^2+0.1210587223702057*t-2.864218043884457,-0.02424582178627992*t^3-0.3109631753603378*t^2-0.2862588787459031*t+4.436764395110996,0.02085948883968038*t^3-0.1892927281841143*t^2+0.9910852322850502*t-1.343137432159251,0.0007408470218199123*t^4-0.04697392614997915*t^3+4.476282026604584*t^2-51.97749016905651*t+185.9935739193867,0.2178022503510625*t^4-2.656595698407066*t^3+10.92954608203707*t^2-21.02256576471835*t+5.308671309214963,0.07339703520048833*t^4+0.5219995934668605*t^3-2.331196541422415*t^2-15.40573431536042*t+11.22957396917479,-3.58662601986667e-05*t^5+0.003376324053566305*t^4+0.2318675365749628*t^3-6.504443606742231*t^2-59.1943996513131*t-51.57452818965268,-0.0003143111311012491*t^6-0.001028574403989005*t^5+0.2294870069544231*t^4-0.3556860129754857*t^3-2.810910220759092*t^2+6.109386331707739*t-14.72386247968195,0.0002801473288632107*t^6+0.01431698491237742*t^5-0.679754609391048*t^4-21.18478213500682*t^3+730.6142714159267*t^2-1282.616751992036*t+589.2695534447993,0.002095226261647631*t^8+0.02619200214879652*t^7+0.5986871095950069*t^6-9.002641167914028*t^5+43.41051238894703*t^4-122.7930408326515*t^3+517.2379431109905*t^2-1123.847837372862*t-122.9811217892987,1.173099972996449e-05*t^9-0.0001791150193137661*t^8+5.447049900131882e-06*t^7+0.01084989271222372*t^6-0.06524154125960925*t^5-0.7052273014488739*t^4+0.9925068773542129*t^3+0.8951438120103887*t^2+19.33472567278364*t+54.42480721034075,-0.0001550393263639933*t^10-0.01261045823343529*t^9+0.9402884825558986*t^8-2.029665590078767*t^7-121.6766987375335*t^6+375.1420076231894*t^5+1246.368427574538*t^4+248050.9815272483*t^3-1771595.206652516*t^2+1873800.318917477*t+6285111.737691063,-0.002252270338229227*t^12+0.1575910106835925*t^11+3.643084049355386*t^10-147.094792024776*t^9-499.8836843155368*t^8+18046.99527104595*t^7+4576.052875921482*t^6-880097.0108083151*t^5+1530947.257044084*t^4+3516711.718339492*t^3-21861019.69152867*t^2+116591226.184611*t-58885127.00287148,0.0018237118943215*t^12+0.03182297220831297*t^11-2.443201508778539*t^10-20.33402100360316*t^9+906.2387505034657*t^8-1917.708131763328*t^7+21380.7833360434*t^6+82364.14957743192*t^5-1427955.316250658*t^4-733341.1663610005*t^3+13573127.35949358*t^2-257124.6101962446*t+4663993.345748341] Nearest singular point at t=0.29444961285075920220186860089819973371 oh_hash.push_restrict Te=0.1319021175120628 t in [0,0.1319] N=13190,M=24 oooo monotonely increasing here. break. t = [0 -> 0.00096] (97) y0 = [0.2469708006098311,0.2469707998093709,0.2469707990226334,0.2469707982496185,0.2469707974903263,0.2469707967447568,0.2469707960129099,0.2469707952947856,0.246970794590384,0.2469707938997051,0.2469707932227488,0.2469707925595151,0.2469707919100041,0.2469707912742158,0.2469707906521501,0.246970790043807,0.2469707894491867,0.2469707888682889,0.2469707883011138,0.2469707877476614,0.2469707872079316,0.2469707866819244,0.2469707861696399,0.2469707856710781,0.2469707851862389,0.2469707847151223,0.2469707842577284,0.2469707838140572,0.2469707833841085,0.2469707829678826,0.2469707825653793,0.2469707821765986,0.2469707818015406,0.2469707814402052,0.2469707810925925,0.2469707807587024,0.246970780438535,0.2469707801320902,0.2469707798393681,0.2469707795603686,0.2469707792950917,0.2469707790435375,0.246970778805706,0.2469707785815971,0.2469707783712108,0.2469707781745472,0.2469707779916062,0.2469707778223879,0.2469707776668922,0.2469707775251192,0.2469707773970688,0.246970777282741,0.2469707771821359,0.2469707770952534,0.2469707770220936,0.2469707769626565,0.2469707769169419,0.24697077688495,0.2469707768666808,0.2469707768621342,0.2469707768713102,0.2469707768942089,0.2469707769308302,0.2469707769811742,0.2469707770452408,0.24697077712303,0.2469707772145419,0.2469707773197765,0.2469707774387336,0.2469707775714134,0.2469707777178159,0.246970777877941,0.2469707780517887,0.2469707782393591,0.2469707784406521,0.2469707786556678,0.2469707788844061,0.246970779126867,0.2469707793830506,0.2469707796529568,0.2469707799365856,0.2469707802339371,0.2469707805450113,0.2469707808698081,0.2469707812083275,0.2469707815605695,0.2469707819265342,0.2469707823062215,0.2469707826996315,0.2469707831067641,0.2469707835276194,0.2469707839621972,0.2469707844104978,0.2469707848725209,0.2469707853482667,0.2469707858377352,0.2469707863409263] min(y0) = y0[59] DtY=PY has min Y = [ 0.2469707768621342 0.007369631650324182 1.05252034439951 0.0002472004413820915 ] at t=59/100000,X=[2.955345663697452,0.1995583689954863,0.8779364490838257,-0.4301485656579216,-0.3165039441241904,2.392464929991938,0.377771222854615,5.570787143753473,0.2508595733211202] Step <37> Xp=[2.955345663697452,0.1995583689954863,0.8779364490838257,-0.4301485656579216,-0.3165039441241904,2.392464929991938,0.377771222854615,5.570787143753473,0.2508595733211202] Yp=[ 0.2469707768621342 0.007369631650324182 1.05252034439951 0.0002472004413820915 ] Gp=-(grad f)(Xp)=[ -8.031738605568557e-06 1.411588226738684e-06 -1.491707985070995e-05 4.206010963616474e-05 -6.130536368917946e-06 1.593955769999857e-05 2.504394191596426e-06 -3.015462607336428e-06 2.469482967659307e-06 ] |Gp|=4.869486448488812e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1649401572533612 0.02898844142336107 -0.3063378450378334 0.8637483660975709 -0.1258969797692011 0.3273354976672175 0.0514303555023474 -0.06192568023825678 0.05071341698518706 ] X(t)=[-0.1649401572533612*t+2.955345663697452,0.02898844142336107*t+0.1995583689954863,-0.3063378450378334*t+0.8779364490838257,0.8637483660975709*t-0.4301485656579216,-0.1258969797692011*t-0.3165039441241904,0.3273354976672175*t+2.392464929991938,0.0514303555023474*t+0.377771222854615,-0.06192568023825678*t+5.570787143753473,0.05071341698518706*t+0.2508595733211202] Singular locus = [0.05071341698518706*t+0.2508595733211202,-0.06192568023825678*t+5.570787143753473,0.0514303555023474*t+0.377771222854615,0.3273354976672175*t+2.392464929991938,0.8637483660975709*t-0.4301485656579216,0.02898844142336107*t+0.1995583689954863,-0.1649401572533612*t+2.955345663697452,0.0138858073269596*t^2-1.722994822985902*t-13.40731091825759,0.7619112894512299*t^2-0.6633864602319359*t+0.285202535183736,-0.004273251274288011*t^2-0.4797637615803912*t-0.8495388126221243,-0.1461163485548847*t^2+2.589325008345435*t-1.33439870913288,0.2009914033354686*t^2+1.028387077235538*t+6.494660849871246,0.02804558521091915*t^2-0.9633405848362594*t+8.773891534571474,0.01094527758154271*t^3+0.0426454454129698*t^2-2.3219301440362*t-2.864146627882,0.02393099343409263*t^3-0.4941090172310872*t^2-0.6732896464247002*t+4.436595394121274,-0.009624359814548443*t^3+0.1722829264690493*t^2+1.176698754153917*t-1.342552757760718,0.003130372104495075*t^4-0.511586509160641*t^3+26.79045222739265*t^2+23.98451369383175*t+185.9629087583711,0.03884506474800811*t^4+0.1535323301977038*t^3+0.6055939746416104*t^2+13.4689567044438*t+5.296271799443189,0.07164439427132202*t^4+0.08403122443303951*t^3+2.447883663959693*t^2+5.60549085922132*t+11.22048377454643,0.0001938685556453438*t^5-0.02157242943763435*t^4+0.1242188457666305*t^3+2.9267911609565*t^2+2.499159132771059*t-51.60945514959616,0.0003245685882340378*t^6+0.0022979773921658*t^5-0.184411305110044*t^4+0.1669315370508943*t^3+4.511001002673225*t^2-4.17838508397022*t-14.7202589202971,0.03433106301401351*t^6-0.07239453225173036*t^5-1.260119249560677*t^4+10.26224752367687*t^3+5.342306471047203*t^2-169.6510229565517*t+588.5130638836008,0.003082214492027376*t^8+0.009975802455712529*t^7-1.328156620784329*t^6+0.0890706469912752*t^5-28.85093353508004*t^4+5.983576802213816*t^3-30.78133164061605*t^2+585.6097251386135*t-123.6440119880348,-0.001273237160928606*t^9+0.160412953433393*t^8-7.031270358545802*t^7+0.6390781895866896*t^6-132.7609907548176*t^5+377.0532336041395*t^4-416.0575614470497*t^3+354.8087230543014*t^2+57.46308298391923*t+54.43621501029098,-3.366831895730446e-05*t^10-0.0007984464782547882*t^9-0.04601310240559604*t^8+11.77670025035446*t^7-27.25096759546403*t^6+332.5196015553252*t^5-13464.74339952631*t^4-12615.97913596581*t^3-340900.2346807349*t^2-1837988.049621714*t+6286216.663237874,-0.004118480650130409*t^12-0.1857278370194682*t^11+1.564029358949313*t^10+94.93895455759107*t^9-224.8014143568925*t^8+834.8417344284837*t^7-34326.68700120146*t^6-275060.9893507612*t^5+1499825.728224363*t^4+7776255.690044927*t^3-11644641.4796208*t^2-67663665.8279098*t-58816345.78852101,0.001514497058938355*t^12+0.03054250648165834*t^11-1.79560985070071*t^10-19.37921973448487*t^9+650.3733459568998*t^8-42.08353097315174*t^7-12118.91825785124*t^6+32106.9514565985*t^5-279270.5895078448*t^4-462592.4987752647*t^3+5317088.223341344*t^2-411788.680512742*t+4663846.366883156] Nearest singular point at t=0.21353708391302877114766506922494257448 oh_hash.push_restrict Te=0.21353708391302877114766506922494257448 t in [0,0.21354] N=21354,M=24 ooooo monotonely increasing here. break. t = [0 -> 0.0012] (121) y0 = [0.2469707768621342,0.246970776378039,0.246970775899651,0.24697077542697,0.246970774959996,0.2469707744987291,0.2469707740431693,0.2469707735933165,0.2469707731491707,0.246970772710732,0.2469707722780004,0.2469707718509758,0.2469707714296583,0.2469707710140478,0.2469707706041444,0.246970770199948,0.2469707698014587,0.2469707694086764,0.2469707690216012,0.2469707686402331,0.246970768264572,0.2469707678946179,0.2469707675303709,0.246970767171831,0.2469707668189981,0.2469707664718723,0.2469707661304535,0.2469707657947418,0.2469707654647371,0.2469707651404395,0.2469707648218489,0.2469707645089654,0.2469707642017889,0.2469707639003195,0.2469707636045572,0.2469707633145019,0.2469707630301536,0.2469707627515124,0.2469707624785783,0.2469707622113512,0.2469707619498312,0.2469707616940182,0.2469707614439123,0.2469707611995134,0.2469707609608216,0.2469707607278368,0.2469707605005591,0.2469707602789885,0.2469707600631249,0.2469707598529683,0.2469707596485188,0.2469707594497764,0.246970759256741,0.2469707590694127,0.2469707588877914,0.2469707587118772,0.24697075854167,0.2469707583771699,0.2469707582183768,0.2469707580652908,0.2469707579179118,0.2469707577762399,0.2469707576402751,0.2469707575100173,0.2469707573854665,0.2469707572666228,0.2469707571534862,0.2469707570460566,0.2469707569443341,0.2469707568483186,0.2469707567580102,0.2469707566734088,0.2469707565945145,0.2469707565213272,0.246970756453847,0.2469707563920739,0.2469707563360078,0.2469707562856487,0.2469707562409967,0.2469707562020518,0.2469707561688139,0.2469707561412831,0.2469707561194593,0.2469707561033426,0.2469707560929329,0.2469707560882303,0.2469707560892348,0.2469707560959463,0.2469707561083648,0.2469707561264904,0.2469707561503231,0.2469707561798628,0.2469707562151096,0.2469707562560634,0.2469707563027243,0.2469707563550922,0.2469707564131672,0.2469707564769492,0.2469707565464383,0.2469707566216345,0.2469707567025377,0.2469707567891479,0.2469707568814652,0.2469707569794896,0.246970757083221,0.2469707571926595,0.246970757307805,0.2469707574286576,0.2469707575552173,0.246970757687484,0.2469707578254577,0.2469707579691385,0.2469707581185264,0.2469707582736213,0.2469707584344233,0.2469707586009323,0.2469707587731484,0.2469707589510715,0.2469707591347017,0.246970759324039,0.2469707595190833] min(y0) = y0[85] DtY=PY has min Y = [ 0.2469707560882303 0.007372949129024308 1.052505615650232 0.0002465771053754182 ] at t=17/20000,X=[2.955205464563787,0.1995830091706962,0.8776760619155436,-0.4294143795467387,-0.3166109565569942,2.392743165164955,0.3778149386567919,5.570734506925271,0.2509026797255576] Step <38> Xp=[2.955205464563787,0.1995830091706962,0.8776760619155436,-0.4294143795467387,-0.3166109565569942,2.392743165164955,0.3778149386567919,5.570734506925271,0.2509026797255576] Yp=[ 0.2469707560882303 0.007372949129024308 1.052505615650232 0.0002465771053754182 ] Gp=-(grad f)(Xp)=[ 3.112941369559164e-05 -1.877997083022764e-06 -5.757898451025367e-05 -4.851067693744e-06 1.629585299544787e-06 -2.461414816732829e-05 -4.020712287087364e-06 -2.172621310275735e-06 5.123072784730606e-06 ] |Gp|=7.047754045608557e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.4416926795989471 -0.0266467454861445 -0.8169834551211536 -0.06883139880238431 0.02312205120949387 -0.3492481151873528 -0.05704955452570968 -0.03082714431031389 0.07269085657043868 ] X(t)=[0.4416926795989471*t+2.955205464563787,-0.0266467454861445*t+0.1995830091706962,-0.8169834551211536*t+0.8776760619155436,-0.06883139880238431*t-0.4294143795467387,0.02312205120949387*t-0.3166109565569942,-0.3492481151873528*t+2.392743165164955,-0.05704955452570968*t+0.3778149386567919,-0.03082714431031389*t+5.570734506925271,0.07269085657043868*t+0.2509026797255576] Singular locus = [0.07269085657043868*t+0.2509026797255576,-0.03082714431031389*t+5.570734506925271,-0.05704955452570968*t+0.3778149386567919,-0.3492481151873528*t+2.392743165164955,-0.06883139880238431*t-0.4294143795467387,-0.0266467454861445*t+0.1995830091706962,0.4416926795989471*t+2.955205464563787,-0.009085560338901996*t^2+2.002116628580355*t-13.40877545382463,0.005272390713227331*t^2+0.04447299531812467*t+0.2846392071734455,0.008378707991202978*t^2-0.06921924768728908*t-0.8499466149068916,-0.03101845239126587*t^2-0.3800286936986051*t-1.332197888444848,0.7894362119036165*t^2-3.10541572420434*t+6.495535124103186,0.1958024722563015*t^2+2.5999487655198*t+8.7730727153373,-0.01555931350376213*t^3-0.02331496305713559*t^2+0.115342411853093*t-2.866120237686375,-0.02407158331580212*t^3-0.3079877203752471*t^2-0.3022204118056447*t+4.436022740942745,0.02027396055060306*t^3-0.1903261732438373*t^2+1.000971897027094*t-1.341552439351183,0.0007157860777421651*t^4-0.0500796986541065*t^3+4.492924047177024*t^2-52.33257817715207*t+185.9833149507984,0.2204304460651908*t^4-2.678349483089522*t^3+10.94181776054741*t^2-20.92720847271706*t+5.307720850277922,0.0712841200524278*t^4+0.5129563928579088*t^3-2.293561084690016*t^2-15.39572458828832*t+11.22525021042436,-3.322721788620634e-05*t^5+0.002579558352409469*t^4+0.2370533352160985*t^3-6.318382971868553*t^2-58.87375780978307*t-51.60732874965038,-0.0002923121074805533*t^6-0.001687847170516781*t^5+0.2278417646147064*t^4-0.3398626804267335*t^3-2.825817660359809*t^2+6.119504766738473*t-14.72380728831783,0.0002143799439103154*t^6+0.01323222305473564*t^5-0.5499898770806441*t^4-22.4978073406141*t^3+734.1973145424499*t^2-1283.982833481065*t+588.3688643802058,0.001977818344670621*t^8+0.02257318960099226*t^7+0.6232342048651736*t^6-9.116444030256382*t^5+44.00257997473958*t^4-126.8324546212004*t^3+520.3911414829016*t^2-1118.934352430492*t-123.1462659575196,1.091662109162563e-05*t^9-0.0001640825861876644*t^8-6.144371375542803e-05*t^7+0.01073255558530701*t^6-0.04943214653333854*t^5-0.6245565481815101*t^4+0.8972297443295103*t^3-0.5449215570597863*t^2+18.91349415939676*t+54.4853147248152,-0.0001370338643281891*t^10-0.0139931839905955*t^9+0.9369832625423175*t^8-1.858934563338614*t^7-126.6703265036522*t^6+465.5880115785798*t^5-427.0410439331781*t^4+254587.0740943648*t^3-1766645.144413832*t^2+1834730.253709469*t+6284654.127087524,-0.002146329318893291*t^12+0.1416316399144581*t^11+3.75845044658167*t^10-142.636277623345*t^9-521.3045008273168*t^8+17688.21442532325*t^7+6914.050799852801*t^6-877998.6637486377*t^5+1518418.191739042*t^4+3589499.372125898*t^3-22243636.61747161*t^2+116462907.8611108*t-58873868.3129518,0.001621138460133545*t^12+0.03261034456267757*t^11-2.29014641203597*t^10-22.50923852960694*t^9+926.9461481117595*t^8-2005.268435790774*t^7+19850.03769217842*t^6+87503.71613003453*t^5-1401235.879506897*t^4-783724.2355837433*t^3+13446424.6518355*t^2-275372.6014225435*t+4663500.187816747] Nearest singular point at t=0.29627606246127300795599739122500910846 oh_hash.push_restrict Te=0.1305730994267495 t in [0,0.13057] N=13057,M=24 ooo monotonely increasing here. break. t = [0 -> 0.00072] (73) y0 = [0.2469707560882303,0.246970755390255,0.2469707547058799,0.2469707540351049,0.2469707533779302,0.2469707527343556,0.2469707521043812,0.246970751488007,0.246970750885233,0.2469707502960591,0.2469707497204855,0.246970749158512,0.2469707486101387,0.2469707480753656,0.2469707475541927,0.2469707470466199,0.2469707465526474,0.246970746072275,0.2469707456055028,0.2469707451523308,0.2469707447127589,0.2469707442867872,0.2469707438744158,0.2469707434756445,0.2469707430904733,0.2469707427189024,0.2469707423609316,0.2469707420165611,0.2469707416857906,0.2469707413686204,0.2469707410650503,0.2469707407750805,0.2469707404987108,0.2469707402359413,0.246970739986772,0.2469707397512028,0.2469707395292339,0.2469707393208651,0.2469707391260965,0.246970738944928,0.2469707387773598,0.2469707386233917,0.2469707384830238,0.246970738356256,0.2469707382430885,0.2469707381435211,0.2469707380575539,0.2469707379851868,0.24697073792642,0.2469707378812533,0.2469707378496868,0.2469707378317205,0.2469707378273543,0.2469707378365884,0.2469707378594226,0.246970737895857,0.2469707379458915,0.2469707380095262,0.2469707380867611,0.2469707381775962,0.2469707382820314,0.2469707384000668,0.2469707385317024,0.2469707386769382,0.2469707388357741,0.2469707390082103,0.2469707391942466,0.246970739393883,0.2469707396071196,0.2469707398339564,0.2469707400743934,0.2469707403284306,0.2469707405960679] min(y0) = y0[52] DtY=PY has min Y = [ 0.2469707378273543 0.007369993747172029 1.052506083344315 0.0002473709701511149 ] at t=13/25000,X=[2.955435144757179,0.1995691528630434,0.8772512305188805,-0.4294501718741159,-0.3165989330903653,2.392561556145058,0.3777852728884386,5.570718476810229,0.2509404789709742] Step <39> Xp=[2.955435144757179,0.1995691528630434,0.8772512305188805,-0.4294501718741159,-0.3165989330903653,2.392561556145058,0.3777852728884386,5.570718476810229,0.2509404789709742] Yp=[ 0.2469707378273543 0.007369993747172029 1.052506083344315 0.0002473709701511149 ] Gp=-(grad f)(Xp)=[ -7.46151558938743e-06 1.256685714364891e-06 -1.297187387471442e-05 3.738298185570598e-05 -5.387815390800921e-06 1.410130994709824e-05 2.268357580850061e-06 -2.814219200314438e-06 2.107475126765079e-06 ] |Gp|=4.322490650380098e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1726207456048818 0.02907318525383933 -0.3001018376656 0.8648481831283709 -0.1246460854768337 0.3262311266273819 0.05247802168526595 -0.06510642654755008 0.04875603667482214 ] X(t)=[-0.1726207456048818*t+2.955435144757179,0.02907318525383933*t+0.1995691528630434,-0.3001018376656*t+0.8772512305188805,0.8648481831283709*t-0.4294501718741159,-0.1246460854768337*t-0.3165989330903653,0.3262311266273819*t+2.392561556145058,0.05247802168526595*t+0.3777852728884386,-0.06510642654755008*t+5.570718476810229,0.04875603667482214*t+0.2509404789709742] Singular locus = [0.04875603667482214*t+0.2509404789709742,-0.06510642654755008*t+5.570718476810229,0.05247802168526595*t+0.3777852728884386,0.3262311266273819*t+2.392561556145058,0.8648481831283709*t-0.4294501718741159,0.02907318525383933*t+0.1995691528630434,-0.1726207456048818*t+2.955435144757179,0.01516249376840863*t^2-1.7082854891825*t-13.4077343556345,0.7634990264851422*t^2-0.6638927664272795*t+0.2846623345566653,-0.003627391232796637*t^2-0.4738434126447545*t-0.8499826066500864,-0.1529145969408806*t^2+2.596054671046824*t-1.332395511752961,0.196487860950841*t^2+1.034526691226878*t+6.493920521390151,0.03064317191398937*t^2-1.008734614645434*t+8.77442474164036,0.01014477140493656*t^3+0.04523883058138307*t^2-2.30560497918121*t-2.866060265938766,0.02362700996565718*t^3-0.4902610972582203*t^2-0.687792590258128*t+4.435865503045341,-0.008963388351219008*t^3+0.1705948039871568*t^2+1.171057850325803*t-1.341031985426075,0.003333887900982954*t^4-0.5430956771542941*t^3+26.79305149177105*t^2+23.59915049363664*t+185.9561032250259,0.03749705131934145*t^4+0.1404222244070956*t^3+0.5886954865724267*t^2+13.61952488298838*t+5.296841660163048,0.06924592023530385*t^4+0.07349050360509046*t^3+2.419589579078649*t^2+5.69151659220147*t+11.21724381353166,0.0001962372374325245*t^5-0.02046817038047046*t^4+0.09101024843756422*t^3+2.806730944563321*t^2+3.455402073996954*t-51.63794481216888,0.0002862698873138424*t^6+0.002629034313302692*t^5-0.1853225104382779*t^4+0.1484024501532962*t^3+4.513906665526624*t^2-4.150849703055832*t-14.720625909988,0.03199917241978895*t^6-0.07253545878777252*t^5-1.143097582223912*t^4+9.929680542370875*t^3+3.691940631185171*t^2-160.7116967910777*t+587.7013918305859,0.002784569442942164*t^8+0.01285615039437734*t^7-1.363629176833973*t^6+0.2055354038985715*t^5-29.54741315642278*t^4+4.33693535287898*t^3-32.97364225488696*t^2+595.1630271838354*t-123.7279711248491,-0.001334750369017725*t^9+0.1687965765145047*t^8-7.041722850624408*t^7+0.4523915993685058*t^6-135.3122198079873*t^5+381.8340621151116*t^4-420.7187559007826*t^3+353.8941052059895*t^2+56.74436432159311*t+54.49514959455738,-3.359481772545162e-05*t^10-0.0003685825057706208*t^9-0.06084951508814981*t^8+11.41085439950236*t^7-28.83842902617394*t^6+358.3033712239474*t^5-13175.04687448241*t^4-9879.366183762921*t^3-341362.9028872948*t^2-1893946.759068719*t+6285607.709154397,-0.003530418606463318*t^12-0.1694787606885*t^11+1.298750328353396*t^10+91.78921831944749*t^9-222.3528833702186*t^8+1232.932523792974*t^7-33630.60248353053*t^6-290075.2472354927*t^5+1471609.422254017*t^4+7967673.680141095*t^3-11338715.12225942*t^2-68061319.29863244*t-58813313.61503863,0.001293569177551032*t^12+0.03056151618117801*t^11-1.644544887455121*t^10-21.25302027810551*t^9+665.5796094343824*t^8-56.56932840513707*t^7-12364.00010157463*t^6+35303.36730092238*t^5-288964.6524597609*t^4-503995.5924753789*t^3+5460153.207392839*t^2-435996.440268525*t+4663360.629866909] Nearest singular point at t=0.21037054709708299904669652862353512735 oh_hash.push_restrict Te=0.21037054709708299904669652862353512735 t in [0,0.21037] N=21037,M=24 oooo monotonely increasing here. break. t = [0 -> 0.00096] (97) y0 = [0.2469707378273543,0.2469707373980274,0.2469707369745447,0.2469707365569062,0.2469707361451119,0.2469707357391618,0.2469707353390559,0.2469707349447943,0.2469707345563769,0.2469707341738037,0.2469707337970748,0.2469707334261901,0.2469707330611495,0.2469707327019532,0.2469707323486012,0.2469707320010933,0.2469707316594297,0.2469707313236103,0.2469707309936351,0.2469707306695041,0.2469707303512174,0.2469707300387749,0.2469707297321766,0.2469707294314225,0.2469707291365127,0.246970728847447,0.2469707285642256,0.2469707282868484,0.2469707280153154,0.2469707277496267,0.2469707274897822,0.2469707272357818,0.2469707269876258,0.2469707267453139,0.2469707265088462,0.2469707262782228,0.2469707260534436,0.2469707258345086,0.2469707256214179,0.2469707254141713,0.246970725212769,0.2469707250172109,0.246970724827497,0.2469707246436274,0.246970724465602,0.2469707242934208,0.2469707241270838,0.246970723966591,0.2469707238119425,0.2469707236631381,0.246970723520178,0.2469707233830622,0.2469707232517905,0.2469707231263631,0.2469707230067799,0.2469707228930409,0.2469707227851461,0.2469707226830955,0.2469707225868892,0.2469707224965271,0.2469707224120092,0.2469707223333356,0.2469707222605061,0.2469707221935209,0.2469707221323799,0.2469707220770831,0.2469707220276306,0.2469707219840222,0.2469707219462581,0.2469707219143382,0.2469707218882626,0.2469707218680311,0.2469707218536439,0.2469707218451009,0.2469707218424021,0.2469707218455475,0.2469707218545372,0.2469707218693711,0.2469707218900491,0.2469707219165715,0.246970721948938,0.2469707219871488,0.2469707220312038,0.246970722081103,0.2469707221368464,0.2469707221984341,0.2469707222658659,0.2469707223391421,0.2469707224182624,0.2469707225032269,0.2469707225940357,0.2469707226906887,0.2469707227931859,0.2469707229015273,0.246970723015713,0.2469707231357428,0.2469707232616169] min(y0) = y0[74] DtY=PY has min Y = [ 0.2469707218424021 0.007372927833968151 1.052492757925994 0.0002468142383349996 ] at t=37/50000,X=[2.955307405405431,0.1995906670201312,0.877029155159008,-0.428810184218601,-0.3166911711936182,2.392802967178762,0.3778241066244856,5.570670298054583,0.2509765584381136] Step <40> Xp=[2.955307405405431,0.1995906670201312,0.877029155159008,-0.428810184218601,-0.3166911711936182,2.392802967178762,0.3778241066244856,5.570670298054583,0.2509765584381136] Yp=[ 0.2469707218424021 0.007372927833968151 1.052492757925994 0.0002468142383349996 ] Gp=-(grad f)(Xp)=[ 2.709140654948367e-05 -1.640516044723248e-06 -5.063602133837612e-05 -3.955437092766426e-06 1.435068627417052e-06 -2.165176331796886e-05 -3.493527508505873e-06 -2.068416025652331e-06 4.467384858206688e-06 ] |Gp|=6.183515686742979e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.4381230342403065 -0.02653047437464092 -0.8188872464079968 -0.06396744656517332 0.02320797261812948 -0.3501529617590963 -0.05649743100022773 -0.03345048562077507 0.07224668108766094 ] X(t)=[0.4381230342403065*t+2.955307405405431,-0.02653047437464092*t+0.1995906670201312,-0.8188872464079968*t+0.877029155159008,-0.06396744656517332*t-0.428810184218601,0.02320797261812948*t-0.3166911711936182,-0.3501529617590963*t+2.392802967178762,-0.05649743100022773*t+0.3778241066244856,-0.03345048562077507*t+5.570670298054583,0.07224668108766094*t+0.2509765584381136] Singular locus = [0.07224668108766094*t+0.2509765584381136,-0.03345048562077507*t+5.570670298054583,-0.05649743100022773*t+0.3778241066244856,-0.3501529617590963*t+2.392802967178762,-0.06396744656517332*t-0.428810184218601,-0.02653047437464092*t+0.1995906670201312,0.4381230342403065*t+2.955307405405431,-0.01003608761596128*t^2+2.013571896141722*t-13.40899847859352,0.004630444213112152*t^2+0.04016026503228128*t+0.2841714720015761,0.008470860680112297*t^2-0.06877223577413892*t-0.8503332527618029,-0.02864133030457106*t^2-0.3638810258248664*t-1.330474515032419,0.7931834189583384*t^2-3.112070071502578*t+6.49468617873841,0.1926556592024763*t^2+2.57898602498456*t+8.773678294805721,-0.0151511581528251*t^3-0.02249859277162578*t^2+0.1127439189508239*t-2.867766388846465,-0.02386350094769209*t^3-0.3053820492601921*t^2-0.3150520992248941*t+4.435356268071147,0.01989271565059279*t^3-0.1914566007768153*t^2+1.008411709600001*t-1.340165309202751,0.000708195921764147*t^4-0.05372095280799385*t^3+4.541843706628241*t^2-52.77296218316796*t+185.9735812680461,0.2230639875320188*t^4-2.699605349094699*t^3+10.96797244268954*t^2-20.86272089639948*t+5.306920431003022,0.06960812702923966*t^4+0.5080573887783499*t^3-2.251311289682092*t^2-15.39895678990038*t+11.22145686080695,-3.13538603588398e-05*t^5+0.001960209356296119*t^4+0.2431740417164572*t^3-6.144263333153043*t^2-58.60693065459881*t-51.63538627763135,-0.0002765288428457783*t^6-0.002213181920454698*t^5+0.2267913064194932*t^4-0.3279270012901846*t^3-2.839470292644699*t^2+6.135110141985878*t-14.72369506689289,0.0001723090875636221*t^6+0.01251261936191737*t^5-0.4489478613190187*t^4-23.85141536312086*t^3+737.4494011882857*t^2-1285.099479279604*t+587.5824672006903,0.001888648950274642*t^8+0.01986975548246746*t^7+0.6467523423910324*t^6-9.233604042056781*t^5+44.55761510470292*t^4-130.4192526775876*t^3+524.4558272437899*t^2-1115.094980400857*t-123.2875685393508,1.042064903013307e-05*t^9-0.0001539221132701817*t^8-0.0001114405448518747*t^7+0.01053148851115834*t^6-0.03921069460529031*t^5-0.5726162049946739*t^4+0.8632105041669205*t^3-1.565953996900183*t^2+18.46074202564196*t+54.53733404619646,-0.0001212996282408963*t^10-0.01528284324475115*t^9+0.935210635062897*t^8-1.641246265332268*t^7-130.7234014051464*t^6+535.4534400969941*t^5-1950.531445119809*t^4+261701.0487341493*t^3-1765785.327243456*t^2+1796391.000241849*t+6284206.001618352,-0.002090671467568841*t^12+0.1293053411328748*t^11+3.901256644793138*t^10-139.0077110873645*t^9-550.4100875385244*t^8+17418.0606518049*t^7+9467.709778688883*t^6-877728.4596172887*t^5+1507004.653413032*t^4+3663258.910518064*t^3-22679464.32143093*t^2+116452829.659419*t-58863685.19717078,0.001480497620895399*t^12+0.03365011192809018*t^11-2.167462276872675*t^10-24.61420685881901*t^9+942.8284249238269*t^8-2105.654841379075*t^7+18675.85621309272*t^6+92982.13123897254*t^5-1381122.807237476*t^4-836489.0665558222*t^3+13355394.75569246*t^2-294438.2214002642*t+4663040.9822767] Nearest singular point at t=0.29761046295407981509536334306952437144 oh_hash.push_restrict Te=0.1294795536554014 t in [0,0.12948] N=12948,M=24 ooo monotonely increasing here. break. t = [0 -> 0.00072] (73) y0 = [0.2469707218424021,0.2469707212308065,0.2469707206327231,0.2469707200481517,0.2469707194770925,0.2469707189195453,0.2469707183755101,0.2469707178449871,0.2469707173279761,0.2469707168244772,0.2469707163344904,0.2469707158580157,0.2469707153950531,0.2469707149456025,0.246970714509664,0.2469707140872376,0.2469707136783233,0.2469707132829211,0.2469707129010309,0.2469707125326528,0.2469707121777868,0.2469707118364329,0.2469707115085911,0.2469707111942613,0.2469707108934436,0.246970710606138,0.2469707103323444,0.2469707100720629,0.2469707098252936,0.2469707095920363,0.246970709372291,0.2469707091660578,0.2469707089733368,0.2469707087941277,0.2469707086284308,0.246970708476246,0.2469707083375732,0.2469707082124125,0.2469707081007638,0.2469707080026273,0.2469707079180028,0.2469707078468904,0.24697070778929,0.2469707077452018,0.2469707077146256,0.2469707076975615,0.2469707076940094,0.2469707077039695,0.2469707077274416,0.2469707077644258,0.246970707814922,0.2469707078789304,0.2469707079564508,0.2469707080474832,0.2469707081520278,0.2469707082700844,0.2469707084016531,0.2469707085467338,0.2469707087053267,0.2469707088774316,0.2469707090630485,0.2469707092621776,0.2469707094748187,0.2469707097009719,0.2469707099406372,0.2469707101938145,0.2469707104605039,0.2469707107407054,0.2469707110344189,0.2469707113416445,0.2469707116623822,0.246970711996632,0.2469707123443938] min(y0) = y0[46] DtY=PY has min Y = [ 0.2469707076940094 0.007370326368446162 1.052492927525418 0.0002475135301205961 ] at t=23/50000,X=[2.955508942001182,0.1995784630019189,0.8766524670256604,-0.4288396092440209,-0.3166804955262139,2.392641896816353,0.3777981178062255,5.570654910831198,0.2510097919114139] Step <41> Xp=[2.955508942001182,0.1995784630019189,0.8766524670256604,-0.4288396092440209,-0.3166804955262139,2.392641896816353,0.3777981178062255,5.570654910831198,0.2510097919114139] Yp=[ 0.2469707076940094 0.007370326368446162 1.052492927525418 0.0002475135301205961 ] Gp=-(grad f)(Xp)=[ -6.930075173684162e-06 1.123810796814788e-06 -1.129772930360054e-05 3.327083261657916e-05 -4.755077508618235e-06 1.248161949461007e-05 2.048831380441207e-06 -2.631558699756065e-06 1.811617235697666e-06 ] |Gp|=3.84276233793274e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.1803409777720544 0.02924486861238875 -0.2940002089663002 0.8658051081680372 -0.1237411291788679 0.324808520459392 0.05331663007667033 -0.0684809121235362 0.04714361900070686 ] X(t)=[-0.1803409777720544*t+2.955508942001182,0.02924486861238875*t+0.1995784630019189,-0.2940002089663002*t+0.8766524670256604,0.8658051081680372*t-0.4288396092440209,-0.1237411291788679*t-0.3166804955262139,0.324808520459392*t+2.392641896816353,0.05331663007667033*t+0.3777981178062255,-0.0684809121235362*t+5.570654910831198,0.04714361900070686*t+0.2510097919114139] Singular locus = [0.04714361900070686*t+0.2510097919114139,-0.0684809121235362*t+5.570654910831198,0.05331663007667033*t+0.3777981178062255,0.324808520459392*t+2.392641896816353,0.8658051081680372*t-0.4288396092440209,0.02924486861238875*t+0.1995784630019189,-0.1803409777720544*t+2.955508942001182,0.01640957909782964*t^2-1.69153557981007*t-13.40807223764493,0.7649303523803279*t^2-0.6642102443258424*t+0.2841899467032929,-0.003004760405574153*t^2-0.4688622382961887*t-0.850364886197825,-0.1597589328318478*t^2+2.602274749803976*t-1.330641906364804,0.1919366978352475*t^2+1.038828931995412*t+6.493254794343132,0.03337813060393651*t^2-1.054325452972379*t+8.774864669143152,0.009444531872718015*t^3+0.04774847116473882*t^2-2.292049339539409*t-2.867714531405926,0.02345526017163965*t^3-0.4879330314983515*t^2-0.6994752368725987*t+4.435211279484339,-0.008449874359589379*t^3+0.1694874587222036*t^2+1.16557515025247*t-1.339701480326616,0.003598122511077978*t^4-0.5761086449169989*t^3+26.7837498348475*t^2+23.15604833445701*t+185.9493066664908,0.03611876110468425*t^4+0.1274803370890436*t^3+0.5674672328075643*t^2+13.76086473944444*t+5.29732589995089,0.06681296520177969*t^4+0.06249560923232306*t^3+2.387040124525342*t^2+5.770049355428094*t+11.21437286435558,0.0002002153898732021*t^5-0.0195553802805404*t^4+0.06220474770542261*t^3+2.701241404346175*t^2+4.310143508312741*t-51.66234676583493,0.0002545134037529866*t^6+0.002944316374449674*t^5-0.1865098631186981*t^4+0.1338500267077872*t^3+4.526414261356359*t^2-4.129611079498181*t-14.7208735170914,0.02977419076492425*t^6-0.07276417740435888*t^5-1.03392339175569*t^4+9.602260720677741*t^3+2.130446404185264*t^2-152.1325139933057*t+586.9914774821935,0.002533922246952863*t^8+0.01574325450202109*t^7-1.397300786259441*t^6+0.3349420094542814*t^5-30.20988760236938*t^4+2.776674397530902*t^3-35.35934331170628*t^2+604.5960004663073*t-123.8004012681751,-0.001412966808629192*t^9+0.1774243875751301*t^8-7.039987854846229*t^7+0.3004959847698228*t^6-137.8603224298677*t^5+386.47998269971*t^4-425.1566146629064*t^3+353.1218512449942*t^2+56.08189076971787*t+54.5458256562564,-3.387422463327662e-05*t^10+2.218872644101394e-05*t^9-0.07681139145363534*t^8+11.0842363771451*t^7-30.4529677825528*t^6+389.4302793239862*t^5-12928.32503550629*t^4-6867.947959517871*t^3-341425.9013647769*t^2-1952943.072450004*t+6285031.967863764,-0.003004385091994459*t^12-0.1543575841432036*t^11+1.045977693244901*t^10+88.78302281785922*t^9-225.3738009870781*t^8+1639.600083579297*t^7-32707.91551346436*t^6-305297.9770357212*t^5+1441447.174177913*t^4+8157645.674472068*t^3-11040853.65426154*t^2-68461544.18488218*t-58810121.69414544,0.001094660323094726*t^12+0.03039317500436347*t^11-1.48801664720358*t^10-23.26089347666604*t^9+680.3220880328486*t^8-72.35711543139958*t^7-12614.33142571722*t^6+38724.73549333238*t^5-298195.8119338889*t^4-548210.8678295998*t^3+5599701.847941626*t^2-461556.8944834659*t+4662908.366614918] Nearest singular point at t=0.20733087690452640602438494357454804745 oh_hash.push_restrict Te=0.20733087690452640602438494357454804745 t in [0,0.20733] N=20733,M=24 oooo monotonely increasing here. break. t = [0 -> 0.00096] (97) y0 = [0.2469707076940094,0.2469707073127221,0.2469707069374125,0.2469707065680806,0.2469707062047264,0.24697070584735,0.2469707054959513,0.2469707051505304,0.2469707048110871,0.2469707044776216,0.2469707041501339,0.2469707038286239,0.2469707035130916,0.2469707032035371,0.2469707028999603,0.2469707026023612,0.2469707023107399,0.2469707020250963,0.2469707017454304,0.2469707014717423,0.2469707012040319,0.2469707009422992,0.2469707006865443,0.2469707004367671,0.2469707001929677,0.246970699955146,0.246970699723302,0.2469706994974357,0.2469706992775472,0.2469706990636364,0.2469706988557034,0.2469706986537481,0.2469706984577705,0.2469706982677707,0.2469706980837486,0.2469706979057043,0.2469706977336376,0.2469706975675487,0.2469706974074376,0.2469706972533042,0.2469706971051485,0.2469706969629706,0.2469706968267703,0.2469706966965479,0.2469706965723031,0.2469706964540361,0.2469706963417468,0.2469706962354353,0.2469706961351015,0.2469706960407454,0.2469706959523671,0.2469706958699665,0.2469706957935436,0.2469706957230985,0.2469706956586311,0.2469706956001415,0.2469706955476296,0.2469706955010954,0.2469706954605389,0.2469706954259602,0.2469706953973592,0.246970695374736,0.2469706953580905,0.2469706953474227,0.2469706953427327,0.2469706953440204,0.2469706953512858,0.246970695364529,0.2469706953837499,0.2469706954089486,0.2469706954401249,0.246970695477279,0.2469706955204109,0.2469706955695205,0.2469706956246078,0.2469706956856728,0.2469706957527156,0.2469706958257362,0.2469706959047344,0.2469706959897104,0.2469706960806642,0.2469706961775956,0.2469706962805048,0.2469706963893918,0.2469706965042564,0.2469706966250989,0.246970696751919,0.2469706968847169,0.2469706970234925,0.2469706971682459,0.2469706973189769,0.2469706974756858,0.2469706976383723,0.2469706978070366,0.2469706979816787,0.2469706981622984,0.246970698348896] min(y0) = y0[64] DtY=PY has min Y = [ 0.2469706953427327 0.00737289932871381 1.052480941583622 0.0002470213434287735 ] at t=2/3125,X=[2.955393523775407,0.1995971797178308,0.8764643068919219,-0.4282854939747934,-0.3167596898488884,2.392849774269447,0.3778322404494746,5.57061108304744,0.2510399638275743] Step <42> Xp=[2.955393523775407,0.1995971797178308,0.8764643068919219,-0.4282854939747934,-0.3167596898488884,2.392849774269447,0.3778322404494746,5.57061108304744,0.2510399638275743] Yp=[ 0.2469706953427327 0.00737289932871381 1.052480941583622 0.0002470213434287735 ] Gp=-(grad f)(Xp)=[ 2.333616475536223e-05 -1.410493633872902e-06 -4.430801279323507e-05 -2.894847398102023e-06 1.205152859929358e-06 -1.881109951151413e-05 -3.000083112086188e-06 -1.975850651925182e-06 3.890672455399624e-06 ] |Gp|=5.386555385221258e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.433229830317686 -0.02618544752631304 -0.8225667355950722 -0.05374208916600815 0.02237334945512409 -0.3492231707692995 -0.05569576283049685 -0.03668115355030405 0.07222932239913858 ] X(t)=[0.433229830317686*t+2.955393523775407,-0.02618544752631304*t+0.1995971797178308,-0.8225667355950722*t+0.8764643068919219,-0.05374208916600815*t-0.4282854939747934,0.02237334945512409*t-0.3167596898488884,-0.3492231707692995*t+2.392849774269447,-0.05569576283049685*t+0.3778322404494746,-0.03668115355030405*t+5.57061108304744,0.07222932239913858*t+0.2510399638275743] Singular locus = [0.07222932239913858*t+0.2510399638275743,-0.03668115355030405*t+5.57061108304744,-0.05569576283049685*t+0.3778322404494746,-0.3492231707692995*t+2.392849774269447,-0.05374208916600815*t-0.4282854939747934,-0.02618544752631304*t+0.1995971797178308,0.433229830317686*t+2.955393523775407,-0.01119389687936998*t^2+2.015896222613986*t-13.40915481369464,0.003388778913768272*t^2+0.03185996394283058*t+0.2837651654623967,0.00828554173227076*t^2-0.07159577249895756*t-0.8506649592610845,-0.02386853233845268*t^2-0.3316149224685336*t-1.328976515962188,0.7985728575096968*t^2-3.113177938261329*t+6.493919723476879,0.1883737635392443*t^2+2.550276186702613*t+8.774189914524932,-0.01442478102805289*t^3-0.0220108383291165*t^2+0.094806896240753*t-2.869181423422981,-0.02392384725275789*t^3-0.3018973341851237*t^2-0.3311838426068914*t+4.434763415481521,0.01910788201349059*t^3-0.1933133579342484*t^2+1.023148231162137*t-1.338955442810606,0.0006800376197990141*t^4-0.05742783377887023*t^3+4.541364690866662*t^2-53.10572236464133*t+185.9641375078978,0.2259687625334616*t^4-2.724150329594729*t^3+10.96422353058986*t^2-20.71466155646467*t+5.306133085852137,0.0663775702808717*t^4+0.4921242909474873*t^3-2.206008021583391*t^2-15.36770132737499*t+11.21806667369108,-2.599964529653767e-05*t^5+0.0009740520611077658*t^4+0.2454580479105441*t^3-5.952220288481125*t^2-58.34242644406725*t-51.65958716754483,-0.0002482858568714531*t^6-0.002718978365679868*t^5+0.2270884264584616*t^4-0.3145892769774412*t^3-2.880511222396202*t^2+6.123615961407784*t-14.72351461412795,0.0001031888117708162*t^6+0.01023917795215046*t^5-0.2665368254142719*t^4-25.43055698056066*t^3+741.8928769282223*t^2-1287.266406661927*t+586.8941135483857,0.00173980344547418*t^8+0.01623495553445899*t^7+0.6680285545777813*t^6-9.326082116007715*t^5+45.17670750332267*t^4-135.1919700842988*t^3+526.2893277610117*t^2-1107.362128152828*t-123.4134743103408,9.340731315223344e-06*t^9-0.0001349348777484397*t^8-0.0001722771068475026*t^7+0.009758716987117631*t^6-0.02405766693726751*t^5-0.4661750677620032*t^4+0.8361188958344798*t^3-3.572039143145878*t^2+18.41544018927804*t+54.58186259367191,-9.103024329149017e-05*t^10-0.01713726387376987*t^9+0.9284923351758936*t^8-1.472727559432004*t^7-136.0370655481327*t^6+650.6268295373777*t^5-3911.253071553904*t^4+268051.6265028191*t^3-1752297.02575803*t^2+1742988.678617933*t+6283781.944447547,-0.00185379729999886*t^12+0.1087537612163659*t^11+3.937919362775777*t^10-133.6031501980293*t^9-552.876930344086*t^8+16902.98226382731*t^7+10716.67928263902*t^6-872156.9708512455*t^5+1492207.771159698*t^4+3761171.500406396*t^3-22883886.10413799*t^2+116005147.4542462*t-58853941.60261882,0.001207729134763509*t^12+0.03324821984811247*t^11-1.924111421697638*t^10-27.58696465103151*t^9+970.5187377257705*t^8-2167.544368375801*t^7+16418.35283279795*t^6+98298.40542124413*t^5-1340232.346042775*t^4-893049.7373490201*t^3+13156303.51275719*t^2-317777.8962590786*t+4662615.263696545] Nearest singular point at t=0.30045764946145167592033348394146390840 oh_hash.push_restrict Te=0.1282136783900283 t in [0,0.12821] N=12821,M=24 ooo monotonely increasing here. break. t = [0 -> 0.00072] (73) y0 = [0.2469706953427327,0.2469706948107365,0.2469706942920591,0.2469706937867003,0.2469706932946603,0.2469706928159389,0.2469706923505363,0.2469706918984524,0.2469706914596872,0.2469706910342407,0.246970690622113,0.2469706902233039,0.2469706898378136,0.246970689465642,0.246970689106789,0.2469706887612548,0.2469706884290393,0.2469706881101426,0.2469706878045645,0.2469706875123051,0.2469706872333645,0.2469706869677425,0.2469706867154393,0.2469706864764548,0.246970686250789,0.2469706860384419,0.2469706858394135,0.2469706856537038,0.2469706854813128,0.2469706853222405,0.246970685176487,0.2469706850440521,0.246970684924936,0.2469706848191386,0.2469706847266599,0.2469706846474999,0.2469706845816586,0.246970684529136,0.2469706844899321,0.2469706844640469,0.2469706844514804,0.2469706844522326,0.2469706844663036,0.2469706844936932,0.2469706845344016,0.2469706845884286,0.2469706846557744,0.2469706847364389,0.246970684830422,0.2469706849377239,0.2469706850583445,0.2469706851922837,0.2469706853395417,0.2469706855001184,0.2469706856740138,0.2469706858612279,0.2469706860617607,0.2469706862756123,0.2469706865027825,0.2469706867432714,0.246970686997079,0.2469706872642053,0.2469706875446503,0.2469706878384141,0.2469706881454965,0.2469706884658977,0.2469706887996175,0.246970689146656,0.2469706895070133,0.2469706898806892,0.2469706902676839,0.2469706906679973,0.2469706910816293] min(y0) = y0[40] DtY=PY has min Y = [ 0.2469706844514804 0.007370657613429722 1.052480813757465 0.0002476251934630166 ] at t=1/2500,X=[2.955566815707535,0.1995867055388203,0.8761352801976838,-0.4283069908104598,-0.3167507405091063,2.392710085001139,0.3778099621443424,5.57059641058602,0.251068855556534] Step <43> Xp=[2.955566815707535,0.1995867055388203,0.8761352801976838,-0.4283069908104598,-0.3167507405091063,2.392710085001139,0.3778099621443424,5.57059641058602,0.251068855556534] Yp=[ 0.2469706844514804 0.007370657613429722 1.052480813757465 0.0002476251934630166 ] Gp=-(grad f)(Xp)=[ -6.027456240176744e-06 9.755191956647155e-07 -1.033634046847687e-05 2.921734958194824e-05 -4.137837414964389e-06 1.064777450156783e-05 1.781840513605942e-06 -2.458872898541964e-06 1.598744460287261e-06 ] |Gp|=3.376461332531039e-05 Gp=Normalize(-(grad f)(Xp))=[ -0.178514001688818 0.02889176269444951 -0.3061293896331584 0.8653245722214903 -0.1225495276696272 0.3153530709497603 0.05277242468138238 -0.07282396143120529 0.04734970440454656 ] X(t)=[-0.178514001688818*t+2.955566815707535,0.02889176269444951*t+0.1995867055388203,-0.3061293896331584*t+0.8761352801976838,0.8653245722214903*t-0.4283069908104598,-0.1225495276696272*t-0.3167507405091063,0.3153530709497603*t+2.392710085001139,0.05277242468138238*t+0.3778099621443424,-0.07282396143120529*t+5.57059641058602,0.04734970440454656*t+0.251068855556534] Singular locus = [0.04734970440454656*t+0.251068855556534,-0.07282396143120529*t+5.57059641058602,0.05277242468138238*t+0.3778099621443424,0.3153530709497603*t+2.392710085001139,0.8653245722214903*t-0.4283069908104598,0.02889176269444951*t+0.1995867055388203,-0.178514001688818*t+2.955566815707535,0.01716257596598384*t^2-1.628224481747869*t-13.40834845699662,0.7638050020223538*t^2-0.6636138199282785*t+0.2837779099901784,-0.003123945604919659*t^2-0.4659916116874122*t-0.8506935962443973,-0.1580132240186705*t^2+2.600372641634026*t-1.329109165750141,0.1931627625546146*t^2+0.9726754292691562*t+6.492674580073232,0.03270198275054768*t^2-1.043687295594469*t+8.775210055139414,0.01010494684269593*t^3+0.05070909993427975*t^2-2.277780576683515*t-2.869143504187142,0.02360672409812048*t^3-0.4833245652944988*t^2-0.7165198042492095*t+4.434630893639373,-0.009082212598564378*t^3+0.1668495605384979*t^2+1.182629094091877*t-1.338546214447056,0.004084351339829642*t^4-0.6140766239224686*t^3+26.55341165074291*t^2+21.48621622694361*t+185.9428959455666,0.03768712328744962*t^4+0.1457373007254371*t^3+0.4282363160689826*t^2+13.4354467996249*t+5.297848975330974,0.069674051610359*t^4+0.06189878803734744*t^3+2.349141577502699*t^2+5.502053472071684*t+11.21191924023034,0.0002199186708961151*t^5-0.0202437153015742*t^4+0.07675664345384797*t^3+2.676693149885387*t^2+3.807186571361857*t-51.68292509046199,0.0002749107495452666*t^6+0.003074163924026866*t^5-0.1824279937432097*t^4+0.1138428214751089*t^3+4.46363414705498*t^2-3.97611578210355*t-14.7210656286453,0.03362986573331992*t^6-0.07884236328933948*t^5-1.256785339121112*t^4+10.30887843602053*t^3+4.741921440180342*t^2-172.2447565965476*t+586.379325686954,0.00270511491434893*t^8+0.01489923417206971*t^7-1.32674566742394*t^6+0.4037477798848199*t^5-28.80876128884926*t^4+5.028184188929849*t^3-46.28187040171994*t^2+589.3800977669614*t-123.8563349639605,-0.001540689956006475*t^9+0.1853660005654519*t^8-6.956103739188064*t^7+2.026858903296505*t^6-138.4353183197559*t^5+383.8811125797524*t^4-422.6897699153539*t^3+348.7453734040839*t^2+55.83548108468202*t+54.5892281982748,-3.213342588260459e-05*t^10-0.0001027060982989415*t^9-0.1029464039372697*t^8+11.27238730696047*t^7-32.35084158509219*t^6+489.3755461203649*t^5-13185.88227492558*t^4-3983.26801372954*t^3-296451.8246843775*t^2-1975637.451873739*t+6284478.859568625,-0.003332790809467508*t^12-0.1727958561544982*t^11+0.9635112447614907*t^10+90.98500868175351*t^9-260.909827557363*t^8+1355.603614343843*t^7-28029.98622916023*t^6-294726.0795650054*t^5+1308731.618844322*t^4+7930318.294853346*t^3-9958195.716277514*t^2-66282068.92965297*t-58807543.20481816,0.001360844630239194*t^12+0.03507834300162124*t^11-1.62587999033485*t^10-23.51605943313757*t^9+653.1744914167501*t^8-48.86559026316478*t^7-12583.41667733542*t^6+38964.26209794453*t^5-273902.4916560868*t^4-562662.5775136424*t^3+5355001.535599527*t^2-494970.9281719108*t+4662490.257489443] Nearest singular point at t=0.21375332593690088798254732528787838407 oh_hash.push_restrict Te=0.21375332593690088798254732528787838407 t in [0,0.21375] N=21375,M=24 oooo monotonely increasing here. break. t = [0 -> 0.00096] (97) y0 = [0.2469706844514804,0.2469706841167031,0.2469706837876634,0.2469706834643613,0.2469706831467969,0.2469706828349701,0.2469706825288809,0.2469706822285293,0.2469706819339154,0.246970681645039,0.2469706813619004,0.2469706810844993,0.2469706808128359,0.24697068054691,0.2469706802867219,0.2469706800322713,0.2469706797835584,0.2469706795405831,0.2469706793033454,0.2469706790718454,0.246970678846083,0.2469706786260581,0.246970678411771,0.2469706782032214,0.2469706780004095,0.2469706778033352,0.2469706776119986,0.2469706774263995,0.2469706772465381,0.2469706770724143,0.2469706769040282,0.2469706767413796,0.2469706765844687,0.2469706764332954,0.2469706762878598,0.2469706761481617,0.2469706760142013,0.2469706758859786,0.2469706757634934,0.2469706756467459,0.246970675535736,0.2469706754304637,0.2469706753309291,0.246970675237132,0.2469706751490726,0.2469706750667509,0.2469706749901667,0.2469706749193202,0.2469706748542113,0.2469706747948401,0.2469706747412064,0.2469706746933104,0.246970674651152,0.2469706746147312,0.2469706745840481,0.2469706745591026,0.2469706745398947,0.2469706745264245,0.2469706745186918,0.2469706745166969,0.2469706745204395,0.2469706745299197,0.2469706745451376,0.2469706745660931,0.2469706745927863,0.246970674625217,0.2469706746633854,0.2469706747072914,0.2469706747569351,0.2469706748123164,0.2469706748734353,0.2469706749402918,0.246970675012886,0.2469706750912178,0.2469706751752872,0.2469706752650942,0.2469706753606389,0.2469706754619212,0.2469706755689411,0.2469706756816986,0.2469706758001938,0.2469706759244266,0.2469706760543971,0.2469706761901051,0.2469706763315508,0.2469706764787341,0.2469706766316551,0.2469706767903136,0.2469706769547098,0.2469706771248437,0.2469706773007151,0.2469706774823242,0.2469706776696709,0.2469706778627553,0.2469706780615772,0.2469706782661368,0.246970678476434] min(y0) = y0[59] DtY=PY has min Y = [ 0.2469706745166969 0.007372985943320596 1.052469318502137 0.0002471823032369876 ] at t=59/100000,X=[2.955461492446538,0.19960375167881,0.8759546638578003,-0.427796449312849,-0.3168230447304314,2.392896143313,0.3778410978749044,5.570553444448775,0.2510967918821326] Step <44> Xp=[2.955461492446538,0.19960375167881,0.8759546638578003,-0.427796449312849,-0.3168230447304314,2.392896143313,0.3778410978749044,5.570553444448775,0.2510967918821326] Yp=[ 0.2469706745166969 0.007372985943320596 1.052469318502137 0.0002471823032369876 ] Gp=-(grad f)(Xp)=[ 2.12551008059096e-05 -1.308820936573056e-06 -4.004558747416117e-05 -3.439886020966711e-06 1.237069908090833e-06 -1.756651800793527e-05 -2.773520258198686e-06 -1.860169374617859e-06 3.472258633465362e-06 ] |Gp|=4.90132261346315e-05 Gp=Normalize(-(grad f)(Xp))=[ 0.433660513338282 -0.02670342354077925 -0.8170363518647464 -0.07018281170714805 0.02523951197770169 -0.3584036268023421 -0.0565871801741895 -0.03795239614524192 0.07084329898888155 ] X(t)=[0.433660513338282*t+2.955461492446538,-0.02670342354077925*t+0.19960375167881,-0.8170363518647464*t+0.8759546638578003,-0.07018281170714805*t-0.427796449312849,0.02523951197770169*t-0.3168230447304314,-0.3584036268023421*t+2.392896143313,-0.0565871801741895*t+0.3778410978749044,-0.03795239614524192*t+5.570553444448775,0.07084329898888155*t+0.2510967918821326] Singular locus = [0.07084329898888155*t+0.2510967918821326,-0.03795239614524192*t+5.570553444448775,-0.0565871801741895*t+0.3778410978749044,-0.3584036268023421*t+2.392896143313,-0.07018281170714805*t-0.427796449312849,-0.02670342354077925*t+0.19960375167881,0.433660513338282*t+2.955461492446538,-0.01181422613092415*t^2+2.071215470954022*t-13.40930910346656,0.005562660023993544*t^2+0.04405499723764909*t+0.2833866437169419,0.009071258374359098*t^2-0.06021411573208411*t-0.8509685323827385,-0.03110949553074895*t^2-0.3794428640131992*t-1.32757500089598,0.7960015599735262*t^2-3.146618918564006*t+6.493248525816459,0.1887745136576205*t^2+2.552673688888966*t+8.774594291018577,-0.01541742117797927*t^3-0.02254052138526762*t^2+0.1466917320599665*t-2.870487377073474,-0.02281224135549439*t^3-0.3029426579771389*t^2-0.324993395277573*t+4.434207978714434,0.0205233794610692*t^3-0.1926795288756624*t^2+1.001885186362741*t-1.337848405203075,0.0007940347342761581*t^4-0.06348865956474614*t^3+4.850778570910512*t^2-54.17750439981458*t+185.955582056257,0.2279677594913906*t^4-2.735701064774623*t^3+11.12523505901204*t^2-20.98910843728433*t+5.305776038041754,0.07042068670851015*t^4+0.5322698172602435*t^3-2.152491347833165*t^2-15.51322055045633*t+11.21516626952778,-3.700324935749222e-05*t^5+0.001925658821779149*t^4+0.2661478866511522*t^3-5.85281145911964*t^2-58.2218214585851*t-51.68067791861228,-0.000287625066269302*t^6-0.002903250786735084*t^5+0.2240150554191574*t^4-0.3189003165047062*t^3-2.810828411631528*t^2+6.237248253345643*t-14.72340998314233,0.0002158201584347802*t^6+0.01542419719479431*t^5-0.4875107460333083*t^4-26.38871695537426*t^3+740.7487964789786*t^2-1284.647815384014*t+586.2777029333419,0.001898526669351959*t^8+0.01895887936149157*t^7+0.6966077856150228*t^6-9.534771475234139*t^5+45.44205474562617*t^4-134.1986899982453*t^3+540.2204909605248*t^2-1117.992208373261*t-123.5086168159679,1.155325252210127e-05*t^9-0.0001651369584105084*t^8-0.0001334426925173594*t^7+0.0109763412420459*t^6-0.04481861643221847*t^5-0.6699606848554107*t^4+0.9729704465924249*t^3-0.3888330745649333*t^2+16.65313550452494*t+54.62229244361426,-0.0001227964407563807*t^10-0.01663284027861953*t^9+0.9442186165283977*t^8-0.9426166658393896*t^7-133.30142137905*t^6+529.8102733399102*t^5-3878.571372404567*t^4+280112.6030754861*t^3-1801261.683072485*t^2+1747140.184382005*t+6283313.13027632,-0.002521450667123028*t^12+0.1303806939966076*t^11+4.50823280760024*t^10-137.1674906571781*t^9-690.1645007050319*t^8+17590.32545225511*t^7+18015.07764074907*t^6-893082.5304924244*t^5+1494126.710891282*t^4+3778162.450510358*t^3-24213550.97344919*t^2+117644115.436607*t-58846653.09030561,0.001648786415191258*t^12+0.03955969301821248*t^11-2.238916668560084*t^10-27.01927660053034*t^9+937.9509290698835*t^8-2439.726594448364*t^7+19433.57115814872*t^6+106040.4808544033*t^5-1400054.936601263*t^4-948576.6669769661*t^3+13488119.30232037*t^2-328769.8571459193*t+4662200.088602267] Nearest singular point at t=0.29590396562780830860299901458734051214 oh_hash.push_restrict Te=0.1284577652123547 t in [0,0.12846] N=12846,M=24 ooo monotonely increasing here. break. t = [0 -> 0.00072] (73) y0 = [0.2469706745166969,0.2469706740333851,0.2469706735637143,0.2469706731076846,0.2469706726652958,0.246970672236548,0.2469706718214412,0.2469706714199754,0.2469706710321506,0.2469706706579667,0.2469706702974239,0.2469706699505221,0.2469706696172612,0.2469706692976414,0.2469706689916625,0.2469706686993247,0.2469706684206278,0.2469706681555719,0.246970667904157,0.2469706676663831,0.2469706674422502,0.2469706672317583,0.2469706670349073,0.2469706668516974,0.2469706666821284,0.2469706665262004,0.2469706663839135,0.2469706662552675,0.2469706661402625,0.2469706660388984,0.2469706659511754,0.2469706658770934,0.2469706658166523,0.2469706657698523,0.2469706657366932,0.2469706657171751,0.246970665711298,0.2469706657190619,0.2469706657404667,0.2469706657755126,0.2469706658241994,0.2469706658865273,0.2469706659624961,0.2469706660521059,0.2469706661553567,0.2469706662722485,0.2469706664027812,0.246970666546955,0.2469706667047697,0.2469706668762254,0.2469706670613221,0.2469706672600598,0.2469706674724385,0.2469706676984581,0.2469706679381188,0.2469706681914204,0.246970668458363,0.2469706687389466,0.2469706690331712,0.2469706693410368,0.2469706696625433,0.2469706699976908,0.2469706703464793,0.2469706707089088,0.2469706710849793,0.2469706714746908,0.2469706718780432,0.2469706722950366,0.246970672725671,0.2469706731699464,0.2469706736278628,0.2469706740994201,0.2469706745846185] min(y0) = y0[36] DtY=PY has min Y = [ 0.246970665711298 0.007370941972071551 1.052469149559435 0.0002477305787467641 ] at t=9/25000,X=[2.95561761023134,0.1995941384463353,0.875660530771129,-0.4278217151250636,-0.3168139585061194,2.392767118007351,0.3778207264900417,5.570539781586163,0.2511222954697686] Step <45> Xp=[2.95561761023134,0.1995941384463353,0.875660530771129,-0.4278217151250636,-0.3168139585061194,2.392767118007351,0.3778207264900417,5.570539781586163,0.2511222954697686] Yp=[ 0.246970665711298 0.007370941972071551 1.052469149559435 0.0002477305787467641 ] Gp=-(grad f)(Xp)=[ -5.493691524678743e-06 8.659906203130601e-07 -9.116665267172065e-06 2.58500545861455e-05 -3.637538635506226e-06 9.284225052540868e-06 1.583552217961776e-06 -2.299977074127213e-06 1.388897792032077e-06 ] |Gp|=2.985673433949907e-05 Finished min Y = [ 0.246970665711298 0.007370941972071551 1.052469149559435 0.0002477305787467641 ] X = [2.95561761023134,0.1995941384463353,0.875660530771129,-0.4278217151250636,-0.3168139585061194,2.392767118007351,0.3778207264900417,5.570539781586163,0.2511222954697686] Xs=[2.953,0.2,0.971,-0.423,-0.217,2.39,0.478,5.566,0.251] Xp=[2.95561761023134,0.1995941384463353,0.875660530771129,-0.4278217151250636,-0.3168139585061194,2.392767118007351,0.3778207264900417,5.570539781586163,0.2511222954697686] Ys0=0.2476880095924653 Yp0=0.246970665711298 hgd_test: time = 22814.90135097504 (node = 12) Calling the registered quit callbacks...done.