Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 8 12
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Trying to find an order 6 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : 3/2*t^8 - 161/52*t^6 + 105/52*t^4 - 245/572*t^2 + 25/1716
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P3 : 3/2*t^16 - 52675/9724*t^14 + 62424565/7972932*t^12 - 25786918405/4472814852*t^10 + 2493674299078805/1096541870671764*t^8 - 66130895817287/143027200522404*t^6 + 613871878555495/14255044318732932*t^4 - 244523487906245/156805487506062252*t^2 + 24672636591575/1411249387554560268
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^28 - 8316938064028842666512436925585280529142464577044888948379339235506771837211919063261319/804990331875215652569152505939395056619561154818885920408009599703475202981730088816108*t^26 + 102599185326412392242345704582502242729542814968166005768273127744680272935163794800657686513675/3234807764191637212556942903424620489507479185653868394662123319861232005095512403292467479844*t^24 - 18503840811673336215368685754202515852485511796875431653871153415998675318950657584325181887028571900/323475115505576385890572315692381055864891280476811945196521673270313443353542323182540986166310273*t^22 + 13449127258632999808273814772126681567525180002553599241001652637685296736023745139365198341393693539835625/199979432858088444438041398151975201118904817198935634383284021892519717576913642122556853549708669594606*t^20 - 3413741780855649237632735394090894527848555087007045552610935991818097943545844141525929257846607253668775/63151399849922666664644652047992168774390994904927042436826533229216752919025360670281111647276421977244*t^18 + 9567051197229501097143167079122717453745058592594685663993135060320865804487730733072727139266717919150800625/315777224207735203981174682383427194305091870987055744374194133467183317672859040231620223429001172269729052*t^16 - 30881397560239081355005429060470292423934099292524600995118426207093390832603955691784080223685296167151584500/2605162099713815432844691129663274353017007935643209891087101601104262370801087081910866843289259671225264679*t^14 + 11505882996717241711904222688514270568002887554794897731681433912638915292912831481160745028892557293506390875/3607147522680667522400341564149149104177395603198290618428294524605901744186120574953507936862051852465751094*t^12 - 124899211043245572651707059042693609334023709669248842341451397977464931938038455958709621586099340597781125/218615001374585910448505549342372672980448218375653976874442092400357681465825489391121693143154657725197036*t^10 + 35972144127173264687446184918800696538120488203255773890518697083383746025060569455368430004172021785463053/558682781290608437812847514986063497616701002515560163123574236134247408190442917332866549143617458631059092*t^8 - 1442874141446523528794006287021204640287585477231598382581554558967076196155667357463987349426697805578216/346140418843094358210133786458756732219043012428118796717866646300566328987557024869276014143328208064895307*t^6 + 2806180326903775561350493194445073765945551270484795362522317967053571147096714131903660293307462992654045/20821677502715368316948047770057520353483971978368376848720901339003297636020737957521064850775589131288317698*t^4 - 345843675475622757269469804544100318166524194264911222581398853178690949548843933311353434766443975665/188387756085349579946867848980917131141601880792568541259741364626175294700106433208055104786045232831514764*t^2 + 42483653113362795211218119635817309259463448459789218587187041411988354484606455336978262791752474180775/5758140269387286401832360119683179719572567523472418397618998352113457400797734987889007206914485648852642039756
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.98219129046748981137 - 1.3724789860391099197e-426j)  +/-  (1.93e-118, 1.93e-118j)
| (-0.14329844755128664784 - 8.2966882731860168962e-440j)  +/-  (6.57e-126, 6.57e-126j)
| (-0.91135468502932062759 + 1.3642846719776447877e-431j)  +/-  (1.09e-118, 1.09e-118j)
| (-0.83070426794171704096 - 3.1330948252230870989e-433j)  +/-  (9.82e-119, 9.82e-119j)
| (0.91135468502932062759 + 4.9137300241144945295e-434j)  +/-  (1.22e-118, 1.22e-118j)
| (0.83070426794171704096 - 2.0621423746381615622e-437j)  +/-  (9.54e-119, 9.54e-119j)
| (-0.95829539648986343124 - 1.1362285285392541959e-445j)  +/-  (1.61e-118, 1.61e-118j)
| (-0.85110112875893547946 - 2.5457208970918810225e-448j)  +/-  (1.33e-118, 1.33e-118j)
| (-0.98219129046748981137 + 5.4133092060780695694e-449j)  +/-  (2.09e-118, 2.09e-118j)
| (0.99532176996047048441 + 1.6627564235098713909e-446j)  +/-  (8.67e-119, 8.67e-119j)
| (0.85110112875893547946 - 6.1428232434222448833e-455j)  +/-  (1.21e-118, 1.21e-118j)
| (0.47502034458706213854 - 1.1929932995201915777e-464j)  +/-  (5.87e-123, 5.87e-123j)
| (-0.57735026918962576451 - 3.7225684088901651549e-466j)  +/-  (9.01e-122, 9.01e-122j)
| (-0.66713834653390530297 - 2.5840301372421043967e-465j)  +/-  (6.81e-121, 6.81e-121j)
| (-0.081813777960327793221 + 3.5472604586189373172e-465j)  +/-  (6.33e-127, 6.33e-127j)
| (0.75725454904569163266 - 1.494061987531107879e-465j)  +/-  (6.61e-120, 6.61e-120j)
| (0.95829539648986343124 - 1.3988541423697043225e-475j)  +/-  (1.67e-118, 1.67e-118j)
| (-0.99532176996047048441 - 1.7440583096848562109e-480j)  +/-  (8.99e-119, 8.99e-119j)
| (-0.75725454904569163266 + 7.4774524468376619172e-484j)  +/-  (6.72e-120, 6.72e-120j)
| (-0.2041968861768067152 + 1.649807918843730408e-485j)  +/-  (1.83e-125, 1.83e-125j)
| (0.35028676481269814376 - 1.0050478607303005728e-485j)  +/-  (2.96e-124, 2.96e-124j)
| (0.66713834653390530297 + 2.1324568310102023884e-487j)  +/-  (6.19e-121, 6.19e-121j)
| (0.081813777960327793221 - 2.1561201131509833067e-490j)  +/-  (6.33e-127, 6.33e-127j)
| (-0.35028676481269814376 + 5.0447169912420796218e-495j)  +/-  (2.79e-124, 2.79e-124j)
| (-0.47502034458706213854 - 5.5334695734254494737e-493j)  +/-  (5.9e-123, 5.9e-123j)
| (0.14329844755128664784 - 2.0526445484948750476e-493j)  +/-  (4.98e-126, 4.98e-126j)
| (0.57735026918962576451 + 1.7343484671856513388e-495j)  +/-  (8.26e-122, 8.26e-122j)
| (0.2041968861768067152 + 2.5210705980010621189e-499j)  +/-  (1.87e-125, 1.87e-125j)
-------------------------------------------------
The weights are:
| (0.014878390418471420178 + 4.1563167014529410023e-427j)  +/-  (6.07e-31, 3.3e-88j)
| (-0.075515241160633482969 + 6.2486199556328958881e-427j)  +/-  (3.59e-31, 1.95e-88j)
| (0.057142965795447689838 - 2.6432779400702732339e-428j)  +/-  (1.02e-31, 5.54e-89j)
| (0.036630378247423214462 - 1.3077024395285631164e-427j)  +/-  (8.96e-32, 4.87e-89j)
| (0.057142965795447689838 + 7.0684621154050967037e-427j)  +/-  (1.89e-32, 1.03e-89j)
| (0.036630378247423214462 + 1.565522043390535613e-426j)  +/-  (1.22e-32, 6.65e-90j)
| (0.035656935072204774346 + 1.5590626048867665232e-428j)  +/-  (4.88e-33, 2.65e-90j)
| (0.044463278561471896506 + 1.1840383276988014129e-427j)  +/-  (1.77e-32, 9.61e-90j)
| (0.014878390418471420178 - 1.0399746601836268868e-428j)  +/-  (1.57e-33, 8.56e-91j)
| (0.011053248317818328027 + 5.0354134241610224106e-427j)  +/-  (2.09e-34, 1.14e-91j)
| (0.044463278561471896506 - 1.6566644530315012865e-426j)  +/-  (8.16e-34, 4.43e-91j)
| (0.11406166330374129588 + 1.5430530345367415375e-427j)  +/-  (9.19e-36, 5e-93j)
| (0.092295570672970269935 + 5.1848138607459333129e-428j)  +/-  (1.75e-35, 9.53e-93j)
| (0.090247936037282164113 - 4.8059724191883459737e-428j)  +/-  (3.12e-35, 1.69e-92j)
| (0.18201857443516463629 - 4.723003904943491026e-427j)  +/-  (4.73e-36, 2.57e-93j)
| (0.087583345501731752334 - 4.079508630222408309e-427j)  +/-  (3.64e-36, 1.98e-93j)
| (0.035656935072204774346 - 1.265236667011322152e-426j)  +/-  (2.14e-35, 1.17e-92j)
| (0.011053248317818328027 + 3.3446852829129322284e-429j)  +/-  (3.22e-36, 1.75e-93j)
| (0.087583345501731752334 + 5.2745137375897694478e-428j)  +/-  (7.28e-36, 3.95e-93j)
| (0.17524560656750899538 - 3.1791127864258465885e-427j)  +/-  (5.93e-37, 3.22e-94j)
| (0.13423734822939704568 - 1.5154533599218432277e-427j)  +/-  (1.96e-38, 1.06e-95j)
| (0.090247936037282164113 + 2.5162240044990724576e-427j)  +/-  (5.24e-38, 2.85e-95j)
| (0.18201857443516463629 + 5.5813581963619037023e-427j)  +/-  (1.51e-38, 8.23e-96j)
| (0.13423734822939704568 + 7.1865648974131695176e-428j)  +/-  (1.55e-38, 8.44e-96j)
| (0.11406166330374129588 - 5.3702259682552802619e-428j)  +/-  (1.59e-38, 8.65e-96j)
| (-0.075515241160633482969 - 8.3834673083723702473e-427j)  +/-  (3.65e-39, 1.98e-96j)
| (0.092295570672970269935 - 1.9974467860780904509e-427j)  +/-  (2.54e-40, 1.46e-97j)
| (0.17524560656750899538 + 4.8480029581440755392e-427j)  +/-  (1.4e-39, 7.57e-97j)
