Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 8 9
-------------------------------------------------
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 9 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^25 - 584523165633859525/63180215311321108*t^23 + 167334605536244975937660256823887775/6678487419043957556794667094466284*t^21 - 339864710171550572231717786035112237930954924065193825/8678339962862348331702135343409160429238261070528802*t^19 + 35826509074534281098632900190807753048484396272707601108993630240901175/917347051993620131502905969471039238979679558217010170528401581847646*t^17 - 171370269235978238184440988698990454406035686681998204347624982867541/6607541791070493144078554401952263426024102460146531840540707672372*t^15 + 486264623453834570204540248153046263810475266264123629907327726654685/41847764676779789912497511212364335031485982247594701656757815258356*t^13 - 138959729803912057539762893485745963424361919307445075900755369160927655/39906672207541465811171665115360050875794747840263962802986664289064564*t^11 + 13549715375656597170838726428282238195434415490697393204889097471195155/20011850285893227723490776348171755717773905808460814191527036930879884*t^9 - 6740079994720294366048428575031448709088848801019603303992607939798755/83700357941791515954600310599099327486244828262371818086783717956934118*t^7 + 441565208444592521617246524901211897227025553595868752136940045130925/83700357941791515954600310599099327486244828262371818086783717956934118*t^5 - 7260713841919137872400785161041807798354688352785996155829631720429725/45700395436218167711211769587108232807489676231255012675383910004486028428*t^3 + 12979947803132664054217235065661546247036198481474345524396828431125/7979434123784124521005229610447469220355340294346113324273381111894385916*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:
| (-0.14329844755128664784 + 1.3866502076874359398e-446j)  +/-  (2.4e-126, 2.4e-126j)
| (-0.6325016732377044604 + 1.2908685250108518591e-447j)  +/-  (1.22e-121, 1.22e-121j)
| (-0.94934036490589009535 - 2.2165336263317160298e-444j)  +/-  (1.79e-119, 1.79e-119j)
| (0.99802833914591267249 - 5.2834342756183656021e-444j)  +/-  (7.63e-120, 7.63e-120j)
| (0.91135468502932062759 + 5.1129497206893653891e-457j)  +/-  (9.67e-120, 9.67e-120j)
| (0.94934036490589009535 + 4.8149690095067060804e-466j)  +/-  (1.7e-119, 1.7e-119j)
| (0.57735026918962576451 + 1.5243126750637999651e-477j)  +/-  (7.43e-122, 7.43e-122j)
| (-0.91135468502932062759 + 3.1115652037964476978e-481j)  +/-  (1.06e-119, 1.06e-119j)
| (-0.99802833914591267249 + 6.8025613284300246945e-481j)  +/-  (7.15e-120, 7.15e-120j)
| (0.98219129046748981137 - 8.7007498884626842221e-482j)  +/-  (1.73e-119, 1.73e-119j)
| (0.85110112875893547946 + 3.294341998102699784e-489j)  +/-  (2.63e-120, 2.63e-120j)
| (0.35028676481269814376 + 1.8836958443487241786e-496j)  +/-  (1.3e-124, 1.3e-124j)
| (-0.98219129046748981137 + 1.5009274761334235613e-497j)  +/-  (1.61e-119, 1.61e-119j)
| (-0.85110112875893547946 - 6.9739119168244117806e-500j)  +/-  (2.69e-120, 2.69e-120j)
| (0.14329844755128664784 + 9.0550081808469707725e-504j)  +/-  (2.39e-126, 2.39e-126j)
| (0.75725454904569163266 + 4.846364269673852717e-502j)  +/-  (4.47e-121, 4.47e-121j)
| (0.50900028954149125153 + 1.6788366404783696571e-503j)  +/-  (8.03e-123, 8.03e-123j)
| (-0.2041968861768067152 - 4.397824295016074688e-509j)  +/-  (9.24e-126, 9.24e-126j)
| (-0.75725454904569163266 - 2.9430985278241165582e-505j)  +/-  (4.52e-121, 4.52e-121j)
| (-0.35028676481269814376 + 1.8532936507540121893e-509j)  +/-  (1.4e-124, 1.4e-124j)
| (0.2041968861768067152 + 6.3728415383910314585e-507j)  +/-  (9.24e-126, 9.24e-126j)
| (0.6325016732377044604 + 6.3201331820871017838e-510j)  +/-  (1.27e-121, 1.27e-121j)
| (-2.4417380418515997481e-511 - 4.5543130838428242365e-511j)  +/-  (1.29e-509, 1.29e-509j)
| (-0.50900028954149125153 - 1.3364187809270383399e-509j)  +/-  (8.41e-123, 8.41e-123j)
| (-0.57735026918962576451 + 8.9922623799459120145e-512j)  +/-  (5.82e-122, 5.82e-122j)
-------------------------------------------------
The weights are:
| (0.086770207829746352913 - 5.3113524711361772411e-445j)  +/-  (3.77e-37, 1.35e-94j)
| (0.15266172236741775461 - 5.6787084869092414876e-445j)  +/-  (2.48e-37, 8.9e-95j)
| (0.036964316739409438301 - 8.7575503441836521616e-445j)  +/-  (6.76e-38, 2.43e-95j)
| (0.0066422995428229088242 + 4.4082167475141040278e-444j)  +/-  (2.71e-38, 9.74e-96j)
| (0.043510863600246990505 - 2.6855607160321377229e-444j)  +/-  (1.33e-38, 4.78e-96j)
| (0.036964316739409438301 + 3.9679572921605825525e-444j)  +/-  (1.16e-38, 4.18e-96j)
| (-0.047002526571788621249 - 2.790537748596112943e-444j)  +/-  (9.93e-40, 3.57e-97j)
| (0.043510863600246990505 + 2.4977447554235623794e-444j)  +/-  (1.7e-39, 6.09e-97j)
| (0.0066422995428229088242 + 3.1998479994065114336e-445j)  +/-  (2.33e-40, 8.37e-98j)
| (0.025535433053656051545 - 6.5821930790038208944e-444j)  +/-  (5.21e-39, 1.87e-96j)
| (0.078160577033652915266 + 1.3431743425853516632e-444j)  +/-  (7.36e-40, 2.64e-97j)
| (0.15908506837449064529 - 6.4118135406484769361e-445j)  +/-  (4.17e-41, 1.5e-98j)
| (0.025535433053656051545 - 1.388698211154045983e-444j)  +/-  (1.28e-40, 4.59e-98j)
| (0.078160577033652915266 - 7.6220120794524573955e-445j)  +/-  (2.7e-41, 9.7e-99j)
| (0.086770207829746352913 - 1.1392050430332600749e-444j)  +/-  (5.27e-42, 1.89e-99j)
| (0.10850807001951437765 - 8.7300789955639318259e-445j)  +/-  (3.25e-41, 1.17e-98j)
| (0.16526556737858006686 + 1.5334127684274768032e-444j)  +/-  (1.93e-41, 6.92e-99j)
| (0.10230738792511059188 + 3.7565778057653136397e-445j)  +/-  (1.24e-42, 4.44e-100j)
| (0.10850807001951437765 + 3.6088358770486106504e-445j)  +/-  (4.74e-43, 1.7e-100j)
| (0.15908506837449064529 - 2.4297528362532941821e-446j)  +/-  (1.47e-43, 5.28e-101j)
| (0.10230738792511059188 + 1.1868934766270867421e-444j)  +/-  (7.18e-43, 2.58e-100j)
| (0.15266172236741775461 + 1.991999698889760095e-444j)  +/-  (4.09e-43, 1.47e-100j)
| (0.16318202541428105518 + 4.782197009142049969e-445j)  +/-  (2.59e-43, 9.3e-101j)
| (0.16526556737858006686 - 2.4879365465087104961e-445j)  +/-  (1.43e-44, 5.12e-102j)
| (-0.047002526571788621249 + 6.4629262185800248212e-445j)  +/-  (1.99e-44, 7.16e-102j)
