Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 8 13
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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 13 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^29 - 7048867702224628775616014042054054330493382674323507434126245274391204753527121458823922502765219/686491396855073959322745543789200029445735675198285370391246822151282347990542438475673968586908*t^27 + 229404100270727253066250274382435952814686778621081538895392531668818283595156979318360214532653097775/7317311799078233332421144751249083113862096561938523763000299877310518547231191851712208831167852372*t^25 - 41198760550648073114147639130456416958584970408706993257997661852053830660721854248001035893561932052587200/731718374612174946333782738121593625490760397524868983883444737206266561315661530585480386751330693458349*t^23 + 1030098303611308111214537073546719230314655786730905249353590397811461669356879509006494912429751787870330130625/15598772309982345505943580411276132908212030154435156998427274907763190554127272509021270884764867723145083982*t^21 - 54666023935327419742473098646531125191937422819294058856961406994152653461184923216017370805855188492592815945575/1029518972458834803392276307144224771941993990192720361896200143912370576572399985595403878394481269727575542812*t^19 + 4748137913426729136518830729320148070214982688202320105109896003481073162212147274991900143073982228621673332544375/158828888961617081568956966425566045079542359387568162965986292377498527371675345146154091905993043138498072484932*t^17 - 39855465117540540864881370581861310414695607860058520501433572801426136183659074357338048089335172734632824000/3370445822969550156373757881876878980552210325684750084160646218009899995154811670192557760504054051831297693*t^15 + 4509068093581343245016639580979160523303485697781817163039872089149236131871814326045202616278062098813713138376625/1387417059458831565470006442011562217312472962885521894144056730474031253805516985541404861649409818003939044941906*t^13 - 43037678536496993830772322050788220079764098372335495636676055989035249322085841497135777907814340245219426294625/71149592792760593101025971385208318836537075019770353545849063101232371990026512079046403161508195795073797176508*t^11 + 10870463731972288429662465568932318865165356987186522286749698619723557707103331734414688126444929657266776638771/148767330384863058302145212896344666658213884132247102868593495575304050524600888892551570246789863935154303187244*t^9 - 2900399068307227024361728887594557293067924154313010294785778453017821146393172373042045486607922630151849072/539012066611822675007772510494002415428311174392199648074614114403275545378988727871563660314456028750559069519*t^7 + 104556895407072292861727411717477372956192135858803352323808645510600904235498154782879134680680571646140069615/471096546218733017956793174171758111084343966418782492417212735988462826661236148159746639114834569127988626759606*t^5 - 5962520282881520185166795446153857372336007854449575982024692516249231883747919491283034572323763178703206735/1298698586873263995448456858527549387313596880397724708825829704616843468093137489521463707830084487866347025121076*t^3 + 9710932380810052651986958017509606171267818920961386072930388466438023475289589465150442868307168669726563725/267717437265445706490303320979321966556217185487702393547953180537443589208342485339924590056973130855876965321387524*t
-------------------------------------------------
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:
| (-0.99654176662968014853 - 4.2843836325555948066e-307j)  +/-  (6.16e-119, 6.16e-119j)
| (-0.98219129046748981137 - 4.924784197185401504e-309j)  +/-  (1.34e-118, 1.34e-118j)
| (-0.85110112875893547946 + 1.1328279296269589868e-309j)  +/-  (4.84e-119, 4.84e-119j)
| (-1.6149753233413905465e-313 - 3.6577617510805622035e-313j)  +/-  (1.16e-311, 1.16e-311j)
| (0.98219129046748981137 + 4.9580019614047191996e-321j)  +/-  (1.3e-118, 1.3e-118j)
| (0.91135468502932062759 - 2.7180502494276031038e-340j)  +/-  (7.84e-119, 7.84e-119j)
| (0.99654176662968014853 - 9.7164712340511576248e-346j)  +/-  (5.99e-119, 5.99e-119j)
| (-0.91135468502932062759 - 3.2869846547850704194e-363j)  +/-  (8.45e-119, 8.45e-119j)
| (-0.95492559883007505428 - 1.5069480818064798562e-364j)  +/-  (1.25e-118, 1.25e-118j)
| (0.95492559883007505428 + 3.8068849364723175248e-364j)  +/-  (1.41e-118, 1.41e-118j)
| (0.85110112875893547946 + 3.0374813152036855211e-374j)  +/-  (4.41e-119, 4.41e-119j)
| (0.67869099174604630743 - 6.4840490154803562114e-379j)  +/-  (1.4e-120, 1.4e-120j)
| (-0.67869099174604630743 - 2.827686141161392728e-380j)  +/-  (1.48e-120, 1.48e-120j)
| (-0.75725454904569163266 + 1.3277398542319760678e-378j)  +/-  (2.36e-119, 2.36e-119j)
| (-0.2041968861768067152 + 2.0195878963829592428e-382j)  +/-  (2.4e-124, 2.4e-124j)
| (0.78296751000927558058 - 1.0349066688791313391e-379j)  +/-  (3.86e-119, 3.86e-119j)
| (0.46704980941184650635 + 1.5611917718979761171e-385j)  +/-  (6.76e-123, 6.76e-123j)
| (0.14329844755128664784 - 2.5534733465158569206e-387j)  +/-  (1.04e-125, 1.04e-125j)
| (-0.78296751000927558058 + 1.3079417148990894528e-384j)  +/-  (3.72e-119, 3.72e-119j)
| (-0.35028676481269814376 + 7.4093919159630295734e-390j)  +/-  (5.29e-124, 5.29e-124j)
| (0.35028676481269814376 - 1.5053781456786549996e-388j)  +/-  (5.58e-124, 5.58e-124j)
| (0.75725454904569163266 - 1.7341265295135837507e-390j)  +/-  (2.34e-119, 2.34e-119j)
| (-0.14329844755128664784 + 9.2961761944346151879e-395j)  +/-  (1.14e-125, 1.14e-125j)
| (-0.46704980941184650635 + 2.6719024958583846319e-392j)  +/-  (7.02e-123, 7.02e-123j)
| (-0.57735026918962576451 - 4.8907716523336440421e-393j)  +/-  (1.03e-121, 1.03e-121j)
| (0.19286000410309994554 - 1.4786745903220119189e-395j)  +/-  (1.98e-124, 1.98e-124j)
| (0.57735026918962576451 - 7.3888015721246415266e-395j)  +/-  (9.5e-122, 9.5e-122j)
| (0.2041968861768067152 - 3.8618312098590725571e-397j)  +/-  (2.11e-124, 2.11e-124j)
| (-0.19286000410309994554 + 2.4731075179329691406e-398j)  +/-  (1.88e-124, 1.88e-124j)
-------------------------------------------------
The weights are:
| (0.0087677427143414497746 - 5.4221752103409629783e-307j)  +/-  (2.71e-29, 4.83e-86j)
| (0.02018255713189918115 + 8.4142186883491349207e-307j)  +/-  (1.99e-29, 3.55e-86j)
| (0.067745763003412148074 - 5.2592695053438697988e-307j)  +/-  (4.79e-30, 8.55e-87j)
| (0.1312260633663880917 - 1.0325157335819185477e-306j)  +/-  (1.27e-30, 2.26e-87j)
| (0.02018255713189918115 + 6.0598075817190988531e-309j)  +/-  (3.13e-31, 5.58e-88j)
| (0.052149679670610077462 + 1.8445205238445129277e-308j)  +/-  (1.38e-31, 2.46e-88j)
| (0.0087677427143414497746 - 1.8671302239625637111e-309j)  +/-  (9.64e-32, 1.72e-88j)
| (0.052149679670610077462 + 4.1347385548096759278e-307j)  +/-  (1.88e-31, 3.35e-88j)
| (0.035038019468675981367 - 5.0968522067205573162e-307j)  +/-  (2.34e-31, 4.17e-88j)
| (0.035038019468675981367 - 1.0900047515939659812e-308j)  +/-  (9.12e-32, 1.63e-88j)
| (0.067745763003412148074 - 4.1474913613199425058e-308j)  +/-  (1.44e-32, 2.57e-89j)
| (0.095171207010028871113 + 9.7453771302873163246e-308j)  +/-  (1.17e-33, 2.09e-90j)
| (0.095171207010028871113 + 5.1308054745114686473e-307j)  +/-  (5.46e-34, 9.74e-91j)
| (0.040510265546627467832 - 1.5493440791436898398e-306j)  +/-  (1.49e-33, 2.65e-90j)
| (0.72647184026269054079 + 1.8106222132748544636e-305j)  +/-  (2.44e-35, 4.35e-92j)
| (0.050567756587148488118 + 1.8501773777963226676e-307j)  +/-  (1.49e-34, 2.65e-91j)
| (0.11365765789730900253 + 1.3272450731263539145e-307j)  +/-  (5.83e-36, 1.04e-92j)
| (0.23423060127807545716 + 3.5487451415850567043e-306j)  +/-  (3.78e-36, 6.74e-93j)
| (0.050567756587148488118 + 1.5376002564151777362e-306j)  +/-  (1.52e-34, 2.71e-91j)
| (0.12041275987196807376 - 5.9942140430730093031e-307j)  +/-  (1.25e-36, 2.23e-93j)
| (0.12041275987196807376 - 2.8770051193233279227e-307j)  +/-  (6.63e-37, 1.18e-93j)
| (0.040510265546627467832 - 2.117989405163899231e-307j)  +/-  (1.17e-35, 2.1e-92j)
| (0.23423060127807545716 + 4.7402818166354410678e-306j)  +/-  (1.32e-36, 2.36e-93j)
| (0.11365765789730900253 + 3.6671625603653937463e-307j)  +/-  (1.82e-37, 3.25e-94j)
| (0.10648455355373476559 - 3.3891190612885333886e-307j)  +/-  (2.05e-37, 3.65e-94j)
| (-0.73700343567971555057 - 1.4805863763110338589e-305j)  +/-  (8.56e-38, 1.53e-94j)
| (0.10648455355373476559 - 9.0324548640852076059e-308j)  +/-  (1.53e-39, 2.74e-96j)
| (0.72647184026269054079 + 1.1949631621064659274e-305j)  +/-  (6.5e-38, 1.16e-94j)
| (-0.73700343567971555057 - 2.1908921854512435097e-305j)  +/-  (6.91e-38, 1.21e-94j)
