Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 35
-------------------------------------------------
Trying to find an order 35 Kronrod extension for:
P1 : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -1/6*t^38 + 2102259203410433210393739824623057683715982120145714638270804652921177280085591357264212763611/9324765233983283093083262179237718457217554420129341417194448664209479529619948145159847724*t^37 - 1346025551817531799043017529417365279987488147780384966824268396165262674001411323413587047889097/9324765233983283093083262179237718457217554420129341417194448664209479529619948145159847724*t^36 + 2896418040880060456261637604294828387101444908346655943598886492428947499860365377786732703482806603/49732081247910843163110731622601165105160290240689820891703726209117224157973056774185854528*t^35 - 827110174635968463764971326582032125346555193516019186412616961561043644974265506564905831185004047075/49732081247910843163110731622601165105160290240689820891703726209117224157973056774185854528*t^34 + 89004970200303761202501712042808081880175938910939740552371206092447094314453022523540812504330857937795/24866040623955421581555365811300582552580145120344910445851863104558612078986528387092927264*t^33 - 1364653482859151248332422219682173042353219353163655329126616173785073148811859946408826450348111269168355/2260549147632311052868669619209143868416376829122264585986533009505328370816957126099357024*t^32 + 5786168754682916619094863097422527745109097414188141486910329634827921933986002319795687397689010357990680/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^31 - 643416874393643844631337550906808991923156559277149473156170683934852392596806443475861527563221757130658360/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^30 + 59438389799655511621693483498937013796111022910093782398779896150857559820148047753984955074751422431085666000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^29 - 4607828232359720050051478164888454667748632125216397240484344855387810045379232456397052553102808652106989719600/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^28 + 302036775020030366486326723638572367550067711021893253003304316385599879870888510120095484812945410579735137826400/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^27 - 16834387286452481145811746049177664844410819922780924195486112943674489328792181511120329444219827879318044242760800/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^26 + 801092208486691564001859355146674241908742328678989417711825008418525738981189251105641662735744010333030030308849600/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^25 - 32639359368305842222033582624200264262777125825408017901096801606703628106910840570639431521562734564456046991749000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^24 + 1140602968755247250882725595148004122924279680062102875584565480465727550346364730295582815642034174606602624071305600000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^23 - 34214457374100347154635821514099557709195589684393982251462687760831476554793551414792151238277943547852540230189590400000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^22 + 880927723140196055699422365578596519949481010459025093070233698447241979587238331394019803260049060082757814477803372800000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^21 - 19451146574515784660794052525960377940131760254214983698510830937008311325420854397662816618316287413267390136896168441600000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^20 + 367703392714974024308473093120387700215700342486666005470507033627232428631689686640509413620129656640803741822486379360000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^19 - 5936394849984205566668088977343784006759842122040825476279008600634460103020618432409794943149985566794431048093444150368000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^18 + 81580232464465929530040887765557201127222843970883930390653239265868129686131853207035150607885265964522966356510208786112000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^17 - 950306250164185464756471992084732374956565268887824591314652623552782391185221324030649913688931164595741617514159979210304000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^16 + 9335061356127985930733143429972213168614383318795010510346914388014675314157937148154228949282063440896922590936954455216128000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^15 - 76847980906551414700809998862292474213304367778520131346912669471700775255211684434417170265387030024713179182069756984627200000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^14 + 526205930392440662937048386401341285649414322146351215602493988771039615339746029999342396972682156231714612847424571943968768000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^13 - 2970302338034245657093084214197612468530056334494407468734158656701954283394067915079778687205149816582402434758178543305203712000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^12 + 13674906303643156629508270301645935126013373182342185434004316058531984170717716122270263324069235011422770744726000747588993024000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^11 - 50694316325834546934610291695392053788731678953492330859858963853376558335181783244554756575387330456301149051834932573622878208000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^10 + 148997957053544240438796081811934137366225113368930666436237757063096614448530022525937853847282311331388307311110490250453811200000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^9 - 340701443371806979126089972034794158794001710118144679482108684897269163885211757272460859076724107395729876222673352303296675840000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^8 + 592039405205025225463266691742540644390999505100807239694281565750896145929696612506651331129522783585777506118572717452817858560000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^7 - 758912182532649114843884343770000156192769358794279887339400888069939371147378658990563855766654199513372092633346464117589278720000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^6 + 690263715113411366945695241375690308062311764675449997394119729128898117991620017210115653882329505940456852430747959308126781440000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^5 - 422469819208696845239239701492716403048728651590762981879630115758022874571815684085842490789881371596843947755768033020084224000000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^4 + 161107699767397646915787344437567987254137795523595372668418116459501486953293499665898498393496541254031729404053487426561638400000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^3 - 33863744858502932926557572774498066266930779277617954668057980740571857589630864416189564308873897653473468478117765472885145600000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^2 + 3126176841231806323080673182831762946557506640897005351799814717636749478348375938144015996303515080329275067514703849796403200000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t - 72009982047039507003290366873932374837343278896536278493371080420236620663822399061960551998568338085813255041301415487078400000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   38 out of 38
Indefinite weights: 0 out of 38
Negative weights:   0 out of 38
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (129.53664462433713386 - 2.3458615443675339034e-694j)  +/-  (6.08e-242, 6.08e-242j)
| (96.195384881782829711 - 7.1022961385412085816e-689j)  +/-  (1.09e-238, 1.09e-238j)
| (88.196626885363058153 + 3.0657497080632093793e-693j)  +/-  (4.64e-238, 4.64e-238j)
| (105.27084389095124427 + 3.261081018906495147e-699j)  +/-  (1.81e-239, 1.81e-239j)
| (7.643643657322807248 - 4.8415845452533228961e-715j)  +/-  (6.33e-243, 6.33e-243j)
| (33.143348932752851252 + 3.5609550759564847437e-708j)  +/-  (4.76e-237, 4.76e-237j)
| (115.94051660865744498 + 2.5510602605305138829e-719j)  +/-  (1.58e-240, 1.58e-240j)
| (36.593985251725166185 - 2.79603789592025139e-723j)  +/-  (8.89e-237, 8.89e-237j)
| (26.886788795364263487 + 1.0111739452944325168e-745j)  +/-  (1.14e-237, 1.14e-237j)
| (57.71046230176233183 + 1.0726062110066565565e-773j)  +/-  (1.65e-236, 1.65e-236j)
| (6.2899450829374791969 - 1.0939083530348044499e-806j)  +/-  (9.43e-244, 9.43e-244j)
| (62.874442969322617162 + 7.4033813640875413585e-797j)  +/-  (1.19e-236, 1.19e-236j)
| (10.791835218586487213 + 6.0696087358443997097e-808j)  +/-  (2e-241, 2e-241j)
| (40.277245385624545709 - 8.3240185366575816977e-803j)  +/-  (1.41e-236, 1.41e-236j)
| (3.0817937879674263191 - 8.5206120885057593874e-817j)  +/-  (2.33e-246, 2.33e-246j)
| (1.1425199992525281599 + 6.2842048421695262644e-820j)  +/-  (2.22e-249, 2.22e-249j)
| (21.418607409812547394 + 1.4795798636508338093e-808j)  +/-  (1.7e-238, 1.7e-238j)
| (29.91156235722816711 + 1.2042799426834110084e-806j)  +/-  (2.57e-237, 2.57e-237j)
| (5.0795080094320450682 + 1.5222540480957528723e-819j)  +/-  (1.29e-244, 1.29e-244j)
| (81.004160271167308575 + 1.2177835730252662954e-811j)  +/-  (1.54e-237, 1.54e-237j)
| (9.1432165634007656688 + 6.5459792713396983713e-823j)  +/-  (3.54e-242, 3.54e-242j)
| (18.958449344365843791 - 1.4557729593246560626e-818j)  +/-  (5.26e-239, 5.26e-239j)
| (24.058780153174803058 - 5.2707636510115732174e-817j)  +/-  (4.5e-238, 4.5e-238j)
| (14.551460842080058811 - 1.6839396891636580205e-826j)  +/-  (3.72e-240, 3.72e-240j)
| (44.209299236688678733 + 3.7657469222958431015e-829j)  +/-  (1.81e-236, 1.81e-236j)
| (12.593182991241042491 + 2.0517069078314120289e-852j)  +/-  (8.84e-241, 8.84e-241j)
| (0.74161560892520960052 - 1.7457291862106182825e-861j)  +/-  (1.98e-250, 1.98e-250j)
| (0.41577455678347908331 - 2.6775032694889231029e-860j)  +/-  (1.32e-251, 1.32e-251j)
| (4.0104209637286219606 - 3.6181647116067889634e-858j)  +/-  (1.72e-245, 1.72e-245j)
| (1.6496760710268372727 - 1.1707120532270002467e-858j)  +/-  (2.32e-248, 2.32e-248j)
| (52.900359678366951279 - 4.5524038987054490808e-858j)  +/-  (1.85e-236, 1.85e-236j)
| (2.2942803602790417198 - 5.0124765029575773798e-885j)  +/-  (2.08e-247, 2.08e-247j)
| (0.17343133158041380833 + 3.6075249420551850756e-887j)  +/-  (3.58e-253, 3.58e-253j)
| (68.436420024384782936 + 1.3370613810856398936e-885j)  +/-  (7.63e-237, 7.63e-237j)
| (16.671425136256723385 + 4.0265071977365407243e-903j)  +/-  (1.57e-239, 1.57e-239j)
| (74.453844683740011912 - 2.5624224308744867235e-909j)  +/-  (3.3e-237, 3.3e-237j)
| (48.409326851046678697 + 1.187032342857807191e-923j)  +/-  (2e-236, 2e-236j)
| (0.033301943881190835684 + 2.8733507036316907879e-947j)  +/-  (7.36e-255, 7.36e-255j)
-------------------------------------------------
The weights are:
| (8.9391849911620053948e-56 + 1.8030293575100175865e-738j)  +/-  (1.88e-87, 2.78e-204j)
| (1.4164768494948150955e-41 + 5.1276552092093418032e-730j)  +/-  (5.15e-83, 7.61e-200j)
| (3.7611550014928518967e-38 - 7.1004706913836102148e-729j)  +/-  (5.05e-82, 7.46e-199j)
| (1.8644405551775434191e-45 + 1.1677139704744119246e-732j)  +/-  (1.06e-84, 1.57e-201j)
| (0.0006832399417402087589 - 7.4069341843735801705e-712j)  +/-  (1.37e-49, 2.02e-166j)
| (1.3478905368466382257e-14 + 1.3310840299163214988e-717j)  +/-  (2.34e-70, 3.46e-187j)
| (5.2311747848635398383e-50 - 2.5917256233207844183e-735j)  +/-  (1.2e-86, 1.78e-203j)
| (4.5648776733007196401e-16 - 2.3697358998642892743e-718j)  +/-  (6.21e-72, 9.18e-189j)
| (6.1561940091530988989e-12 + 3.1191334793773999062e-716j)  +/-  (1.26e-68, 1.86e-185j)
| (4.3047070250581637862e-25 + 7.4098006256537535205e-723j)  +/-  (8.71e-79, 1.29e-195j)
| (0.0023773463464485628277 + 1.591897805272014131e-711j)  +/-  (1.25e-53, 1.85e-170j)
| (2.6467321617626912623e-27 - 6.193810960407006859e-724j)  +/-  (6.35e-80, 9.39e-197j)
| (3.546378973194442211e-05 - 1.3218651188948814898e-712j)  +/-  (8.61e-61, 1.27e-177j)
| (1.2250081367429285311e-17 + 3.7920158778653405288e-719j)  +/-  (2.68e-74, 3.96e-191j)
| (0.039377668065402493123 - 1.1114213403563519431e-710j)  +/-  (4.69e-50, 6.94e-167j)
| (0.14246152287195065232 + 3.7324465054229312916e-710j)  +/-  (1.04e-41, 1.54e-158j)
| (1.2716789689998081566e-09 + 5.0715101564828906544e-715j)  +/-  (1.32e-68, 1.94e-185j)
| (3.1961340221441972398e-13 - 6.7595536206504528701e-717j)  +/-  (4.45e-71, 6.57e-188j)
| (0.0070911612419034794601 - 3.2207051027901093507e-711j)  +/-  (2.12e-56, 3.13e-173j)
| (4.5290716194076727932e-35 + 1.4011799757109085585e-727j)  +/-  (2.67e-84, 3.95e-201j)
| (0.00016827704997580543214 + 3.234491536344835991e-712j)  +/-  (1.19e-61, 1.76e-178j)
| (1.3856678123891419208e-08 - 1.800821169731877454e-714j)  +/-  (2.1e-68, 3.1e-185j)
| (9.7273975243873711425e-11 - 1.3137723427849501452e-715j)  +/-  (7.23e-70, 1.07e-186j)
| (9.7643773524863614402e-07 - 1.7903132454657132253e-713j)  +/-  (3.85e-67, 5.68e-184j)
| (2.5641571208099992754e-19 - 5.4187231620482777038e-720j)  +/-  (3.22e-77, 4.76e-194j)
| (6.3795879268171115542e-06 + 5.0421119852219361026e-713j)  +/-  (1.27e-66, 1.87e-183j)
| (0.17224565761755468404 - 3.6319848885264978993e-710j)  +/-  (5.82e-58, 8.6e-175j)
| (0.18983968727540854788 + 2.6189180700990567979e-710j)  +/-  (3.79e-58, 5.61e-175j)
| (0.018104341365830847556 + 6.1524722255290354019e-711j)  +/-  (6.55e-62, 9.68e-179j)
| (0.11014506447608931466 - 2.910635341133971472e-710j)  +/-  (6.15e-60, 9.08e-177j)
| (4.9282019663547111274e-23 - 7.6422025525335237038e-722j)  +/-  (5.68e-80, 8.39e-197j)
| (0.072227312312356187402 + 1.8870431235916009199e-710j)  +/-  (3.88e-62, 5.73e-179j)
| (0.16278165335697049595 - 1.3838172871105423023e-710j)  +/-  (2.2e-61, 3.25e-178j)
| (1.0971695677898641216e-29 + 4.4208157186385112367e-725j)  +/-  (6.57e-84, 9.71e-201j)
| (1.2665330905096205773e-07 + 5.9014677247524627403e-714j)  +/-  (1.07e-70, 1.58e-187j)
| (2.8992959617308582182e-32 - 2.6804302236339100644e-726j)  +/-  (2.73e-85, 4.03e-202j)
| (4.1088297519473370311e-21 + 6.8637326766673421371e-721j)  +/-  (2.34e-79, 3.45e-196j)
| (0.082454106377544836007 + 3.9832574620753838566e-711j)  +/-  (1.03e-67, 1.52e-184j)
Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 35
-------------------------------------------------
Trying to find an order 35 Kronrod extension for:
P1 : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -1/6*t^38 + 2102259203410433210393739824623057683715982120145714638270804652921177280085591357264212763611/9324765233983283093083262179237718457217554420129341417194448664209479529619948145159847724*t^37 - 1346025551817531799043017529417365279987488147780384966824268396165262674001411323413587047889097/9324765233983283093083262179237718457217554420129341417194448664209479529619948145159847724*t^36 + 2896418040880060456261637604294828387101444908346655943598886492428947499860365377786732703482806603/49732081247910843163110731622601165105160290240689820891703726209117224157973056774185854528*t^35 - 827110174635968463764971326582032125346555193516019186412616961561043644974265506564905831185004047075/49732081247910843163110731622601165105160290240689820891703726209117224157973056774185854528*t^34 + 89004970200303761202501712042808081880175938910939740552371206092447094314453022523540812504330857937795/24866040623955421581555365811300582552580145120344910445851863104558612078986528387092927264*t^33 - 1364653482859151248332422219682173042353219353163655329126616173785073148811859946408826450348111269168355/2260549147632311052868669619209143868416376829122264585986533009505328370816957126099357024*t^32 + 5786168754682916619094863097422527745109097414188141486910329634827921933986002319795687397689010357990680/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^31 - 643416874393643844631337550906808991923156559277149473156170683934852392596806443475861527563221757130658360/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^30 + 59438389799655511621693483498937013796111022910093782398779896150857559820148047753984955074751422431085666000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^29 - 4607828232359720050051478164888454667748632125216397240484344855387810045379232456397052553102808652106989719600/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^28 + 302036775020030366486326723638572367550067711021893253003304316385599879870888510120095484812945410579735137826400/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^27 - 16834387286452481145811746049177664844410819922780924195486112943674489328792181511120329444219827879318044242760800/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^26 + 801092208486691564001859355146674241908742328678989417711825008418525738981189251105641662735744010333030030308849600/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^25 - 32639359368305842222033582624200264262777125825408017901096801606703628106910840570639431521562734564456046991749000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^24 + 1140602968755247250882725595148004122924279680062102875584565480465727550346364730295582815642034174606602624071305600000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^23 - 34214457374100347154635821514099557709195589684393982251462687760831476554793551414792151238277943547852540230189590400000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^22 + 880927723140196055699422365578596519949481010459025093070233698447241979587238331394019803260049060082757814477803372800000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^21 - 19451146574515784660794052525960377940131760254214983698510830937008311325420854397662816618316287413267390136896168441600000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^20 + 367703392714974024308473093120387700215700342486666005470507033627232428631689686640509413620129656640803741822486379360000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^19 - 5936394849984205566668088977343784006759842122040825476279008600634460103020618432409794943149985566794431048093444150368000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^18 + 81580232464465929530040887765557201127222843970883930390653239265868129686131853207035150607885265964522966356510208786112000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^17 - 950306250164185464756471992084732374956565268887824591314652623552782391185221324030649913688931164595741617514159979210304000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^16 + 9335061356127985930733143429972213168614383318795010510346914388014675314157937148154228949282063440896922590936954455216128000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^15 - 76847980906551414700809998862292474213304367778520131346912669471700775255211684434417170265387030024713179182069756984627200000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^14 + 526205930392440662937048386401341285649414322146351215602493988771039615339746029999342396972682156231714612847424571943968768000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^13 - 2970302338034245657093084214197612468530056334494407468734158656701954283394067915079778687205149816582402434758178543305203712000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^12 + 13674906303643156629508270301645935126013373182342185434004316058531984170717716122270263324069235011422770744726000747588993024000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^11 - 50694316325834546934610291695392053788731678953492330859858963853376558335181783244554756575387330456301149051834932573622878208000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^10 + 148997957053544240438796081811934137366225113368930666436237757063096614448530022525937853847282311331388307311110490250453811200000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^9 - 340701443371806979126089972034794158794001710118144679482108684897269163885211757272460859076724107395729876222673352303296675840000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^8 + 592039405205025225463266691742540644390999505100807239694281565750896145929696612506651331129522783585777506118572717452817858560000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^7 - 758912182532649114843884343770000156192769358794279887339400888069939371147378658990563855766654199513372092633346464117589278720000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^6 + 690263715113411366945695241375690308062311764675449997394119729128898117991620017210115653882329505940456852430747959308126781440000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^5 - 422469819208696845239239701492716403048728651590762981879630115758022874571815684085842490789881371596843947755768033020084224000000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^4 + 161107699767397646915787344437567987254137795523595372668418116459501486953293499665898498393496541254031729404053487426561638400000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^3 - 33863744858502932926557572774498066266930779277617954668057980740571857589630864416189564308873897653473468478117765472885145600000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t^2 + 3126176841231806323080673182831762946557506640897005351799814717636749478348375938144015996303515080329275067514703849796403200000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907*t - 72009982047039507003290366873932374837343278896536278493371080420236620663822399061960551998568338085813255041301415487078400000000/70642160863509720402145925600285745888011775910070768312079156547041511588029910190604907
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   38 out of 38
Indefinite weights: 0 out of 38
Negative weights:   0 out of 38
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (129.53664462433713386 - 2.3458615443675339034e-694j)  +/-  (6.08e-242, 6.08e-242j)
| (96.195384881782829711 - 7.1022961385412085816e-689j)  +/-  (1.09e-238, 1.09e-238j)
| (88.196626885363058153 + 3.0657497080632093793e-693j)  +/-  (4.64e-238, 4.64e-238j)
| (105.27084389095124427 + 3.261081018906495147e-699j)  +/-  (1.81e-239, 1.81e-239j)
| (7.643643657322807248 - 4.8415845452533228961e-715j)  +/-  (6.33e-243, 6.33e-243j)
| (33.143348932752851252 + 3.5609550759564847437e-708j)  +/-  (4.76e-237, 4.76e-237j)
| (115.94051660865744498 + 2.5510602605305138829e-719j)  +/-  (1.58e-240, 1.58e-240j)
| (36.593985251725166185 - 2.79603789592025139e-723j)  +/-  (8.89e-237, 8.89e-237j)
| (26.886788795364263487 + 1.0111739452944325168e-745j)  +/-  (1.14e-237, 1.14e-237j)
| (57.71046230176233183 + 1.0726062110066565565e-773j)  +/-  (1.65e-236, 1.65e-236j)
| (6.2899450829374791969 - 1.0939083530348044499e-806j)  +/-  (9.43e-244, 9.43e-244j)
| (62.874442969322617162 + 7.4033813640875413585e-797j)  +/-  (1.19e-236, 1.19e-236j)
| (10.791835218586487213 + 6.0696087358443997097e-808j)  +/-  (2e-241, 2e-241j)
| (40.277245385624545709 - 8.3240185366575816977e-803j)  +/-  (1.41e-236, 1.41e-236j)
| (3.0817937879674263191 - 8.5206120885057593874e-817j)  +/-  (2.33e-246, 2.33e-246j)
| (1.1425199992525281599 + 6.2842048421695262644e-820j)  +/-  (2.22e-249, 2.22e-249j)
| (21.418607409812547394 + 1.4795798636508338093e-808j)  +/-  (1.7e-238, 1.7e-238j)
| (29.91156235722816711 + 1.2042799426834110084e-806j)  +/-  (2.57e-237, 2.57e-237j)
| (5.0795080094320450682 + 1.5222540480957528723e-819j)  +/-  (1.29e-244, 1.29e-244j)
| (81.004160271167308575 + 1.2177835730252662954e-811j)  +/-  (1.54e-237, 1.54e-237j)
| (9.1432165634007656688 + 6.5459792713396983713e-823j)  +/-  (3.54e-242, 3.54e-242j)
| (18.958449344365843791 - 1.4557729593246560626e-818j)  +/-  (5.26e-239, 5.26e-239j)
| (24.058780153174803058 - 5.2707636510115732174e-817j)  +/-  (4.5e-238, 4.5e-238j)
| (14.551460842080058811 - 1.6839396891636580205e-826j)  +/-  (3.72e-240, 3.72e-240j)
| (44.209299236688678733 + 3.7657469222958431015e-829j)  +/-  (1.81e-236, 1.81e-236j)
| (12.593182991241042491 + 2.0517069078314120289e-852j)  +/-  (8.84e-241, 8.84e-241j)
| (0.74161560892520960052 - 1.7457291862106182825e-861j)  +/-  (1.98e-250, 1.98e-250j)
| (0.41577455678347908331 - 2.6775032694889231029e-860j)  +/-  (1.32e-251, 1.32e-251j)
| (4.0104209637286219606 - 3.6181647116067889634e-858j)  +/-  (1.72e-245, 1.72e-245j)
| (1.6496760710268372727 - 1.1707120532270002467e-858j)  +/-  (2.32e-248, 2.32e-248j)
| (52.900359678366951279 - 4.5524038987054490808e-858j)  +/-  (1.85e-236, 1.85e-236j)
| (2.2942803602790417198 - 5.0124765029575773798e-885j)  +/-  (2.08e-247, 2.08e-247j)
| (0.17343133158041380833 + 3.6075249420551850756e-887j)  +/-  (3.58e-253, 3.58e-253j)
| (68.436420024384782936 + 1.3370613810856398936e-885j)  +/-  (7.63e-237, 7.63e-237j)
| (16.671425136256723385 + 4.0265071977365407243e-903j)  +/-  (1.57e-239, 1.57e-239j)
| (74.453844683740011912 - 2.5624224308744867235e-909j)  +/-  (3.3e-237, 3.3e-237j)
| (48.409326851046678697 + 1.187032342857807191e-923j)  +/-  (2e-236, 2e-236j)
| (0.033301943881190835684 + 2.8733507036316907879e-947j)  +/-  (7.36e-255, 7.36e-255j)
-------------------------------------------------
The weights are:
| (8.9391849911620053948e-56 + 1.8030293575100175865e-738j)  +/-  (1.88e-87, 2.78e-204j)
| (1.4164768494948150955e-41 + 5.1276552092093418032e-730j)  +/-  (5.15e-83, 7.61e-200j)
| (3.7611550014928518967e-38 - 7.1004706913836102148e-729j)  +/-  (5.05e-82, 7.46e-199j)
| (1.8644405551775434191e-45 + 1.1677139704744119246e-732j)  +/-  (1.06e-84, 1.57e-201j)
| (0.0006832399417402087589 - 7.4069341843735801705e-712j)  +/-  (1.37e-49, 2.02e-166j)
| (1.3478905368466382257e-14 + 1.3310840299163214988e-717j)  +/-  (2.34e-70, 3.46e-187j)
| (5.2311747848635398383e-50 - 2.5917256233207844183e-735j)  +/-  (1.2e-86, 1.78e-203j)
| (4.5648776733007196401e-16 - 2.3697358998642892743e-718j)  +/-  (6.21e-72, 9.18e-189j)
| (6.1561940091530988989e-12 + 3.1191334793773999062e-716j)  +/-  (1.26e-68, 1.86e-185j)
| (4.3047070250581637862e-25 + 7.4098006256537535205e-723j)  +/-  (8.71e-79, 1.29e-195j)
| (0.0023773463464485628277 + 1.591897805272014131e-711j)  +/-  (1.25e-53, 1.85e-170j)
| (2.6467321617626912623e-27 - 6.193810960407006859e-724j)  +/-  (6.35e-80, 9.39e-197j)
| (3.546378973194442211e-05 - 1.3218651188948814898e-712j)  +/-  (8.61e-61, 1.27e-177j)
| (1.2250081367429285311e-17 + 3.7920158778653405288e-719j)  +/-  (2.68e-74, 3.96e-191j)
| (0.039377668065402493123 - 1.1114213403563519431e-710j)  +/-  (4.69e-50, 6.94e-167j)
| (0.14246152287195065232 + 3.7324465054229312916e-710j)  +/-  (1.04e-41, 1.54e-158j)
| (1.2716789689998081566e-09 + 5.0715101564828906544e-715j)  +/-  (1.32e-68, 1.94e-185j)
| (3.1961340221441972398e-13 - 6.7595536206504528701e-717j)  +/-  (4.45e-71, 6.57e-188j)
| (0.0070911612419034794601 - 3.2207051027901093507e-711j)  +/-  (2.12e-56, 3.13e-173j)
| (4.5290716194076727932e-35 + 1.4011799757109085585e-727j)  +/-  (2.67e-84, 3.95e-201j)
| (0.00016827704997580543214 + 3.234491536344835991e-712j)  +/-  (1.19e-61, 1.76e-178j)
| (1.3856678123891419208e-08 - 1.800821169731877454e-714j)  +/-  (2.1e-68, 3.1e-185j)
| (9.7273975243873711425e-11 - 1.3137723427849501452e-715j)  +/-  (7.23e-70, 1.07e-186j)
| (9.7643773524863614402e-07 - 1.7903132454657132253e-713j)  +/-  (3.85e-67, 5.68e-184j)
| (2.5641571208099992754e-19 - 5.4187231620482777038e-720j)  +/-  (3.22e-77, 4.76e-194j)
| (6.3795879268171115542e-06 + 5.0421119852219361026e-713j)  +/-  (1.27e-66, 1.87e-183j)
| (0.17224565761755468404 - 3.6319848885264978993e-710j)  +/-  (5.82e-58, 8.6e-175j)
| (0.18983968727540854788 + 2.6189180700990567979e-710j)  +/-  (3.79e-58, 5.61e-175j)
| (0.018104341365830847556 + 6.1524722255290354019e-711j)  +/-  (6.55e-62, 9.68e-179j)
| (0.11014506447608931466 - 2.910635341133971472e-710j)  +/-  (6.15e-60, 9.08e-177j)
| (4.9282019663547111274e-23 - 7.6422025525335237038e-722j)  +/-  (5.68e-80, 8.39e-197j)
| (0.072227312312356187402 + 1.8870431235916009199e-710j)  +/-  (3.88e-62, 5.73e-179j)
| (0.16278165335697049595 - 1.3838172871105423023e-710j)  +/-  (2.2e-61, 3.25e-178j)
| (1.0971695677898641216e-29 + 4.4208157186385112367e-725j)  +/-  (6.57e-84, 9.71e-201j)
| (1.2665330905096205773e-07 + 5.9014677247524627403e-714j)  +/-  (1.07e-70, 1.58e-187j)
| (2.8992959617308582182e-32 - 2.6804302236339100644e-726j)  +/-  (2.73e-85, 4.03e-202j)
| (4.1088297519473370311e-21 + 6.8637326766673421371e-721j)  +/-  (2.34e-79, 3.45e-196j)
| (0.082454106377544836007 + 3.9832574620753838566e-711j)  +/-  (1.03e-67, 1.52e-184j)
