Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 9 16
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Trying to find an order 9 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 4*t^11 - 1238/7*t^9 + 15354/7*t^7 - 9783*t^5 + 59445/4*t^3 - 41985/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^27 - 2809633265475953984288974/4958190867002746465323*t^25 + 7593751857289589448719033902/223118589015123590939535*t^23 - 254178595137296829547434316667/223118589015123590939535*t^21 + 90824376169734906791948145379/3863525350911231011940*t^19 - 26572855394364317336340731236277/84997557720047082262680*t^17 + 23146683910337962358359130563237/8499755772004708226268*t^15 - 87820744782761592504905540359003/5666503848003138817512*t^13 + 233077560600955963550875088021761/4121093707638646412736*t^11 - 1051284682597935170653095980698741/8242187415277292825472*t^9 + 152961891001728755900977119263791/915798601697476980608*t^7 - 209194459342227207076843230407155/1831597203394953961216*t^5 + 244738883346212509191217387702595/7326388813579815844864*t^3 - 38108033685825223512125112772575/14652777627159631689728*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
Positive weights:   27 out of 27
Indefinite weights: 0 out of 27
Negative weights:   0 out of 27
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (3.1015293948262462479 - 2.0772780356355763863e-437j)  +/-  (1.41e-121, 1.41e-121j)
| (5.2109072187547580143 - 2.4540173386529841438e-440j)  +/-  (7.17e-122, 7.17e-122j)
| (-4.078146920586073217 + 1.5139101974186603024e-441j)  +/-  (2.39e-121, 2.39e-121j)
| (-5.2109072187547580143 - 3.8225599886852583809e-449j)  +/-  (7.3e-122, 7.3e-122j)
| (4.6137908928443166918 + 1.3789814829299283192e-452j)  +/-  (1.66e-121, 1.66e-121j)
| (-5.9332689523179793807 - 2.2099898836784768319e-454j)  +/-  (1.12e-122, 1.12e-122j)
| (5.9332689523179793807 - 9.5238773793834304217e-457j)  +/-  (1.19e-122, 1.19e-122j)
| (-2.2101003296710005571 + 2.2914234429995525961e-455j)  +/-  (2.27e-122, 2.27e-122j)
| (0.34331566773249768139 + 3.2035680992043350072e-458j)  +/-  (1.77e-126, 1.77e-126j)
| (3.5780442016861115128 + 7.2501804350413897531e-458j)  +/-  (2.15e-121, 2.15e-121j)
| (1.2183327220161274891e-460 + 1.771165618331628991e-460j)  +/-  (5.8e-459, 5.8e-459j)
| (2.6447993613205366489 - 1.3661999636314721098e-461j)  +/-  (6.44e-122, 6.44e-122j)
| (-3.5780442016861115128 + 2.483051499121210986e-471j)  +/-  (2.18e-121, 2.18e-121j)
| (-3.1015293948262462479 - 2.4953483760190663177e-480j)  +/-  (1.43e-121, 1.43e-121j)
| (1.4341212004681264598 - 1.5611530172920220041e-489j)  +/-  (1.54e-123, 1.54e-123j)
| (1.8051941905605813993 - 2.1218589605257100748e-488j)  +/-  (6.11e-123, 6.11e-123j)
| (-1.4341212004681264598 + 4.2285318623507178811e-489j)  +/-  (1.73e-123, 1.73e-123j)
| (-2.6447993613205366489 + 8.37139340734161193e-487j)  +/-  (6.74e-122, 6.74e-122j)
| (-0.7071067811865475244 - 1.1066668964503132758e-493j)  +/-  (2.41e-125, 2.41e-125j)
| (-1.8051941905605813993 + 1.5333337287239251759e-490j)  +/-  (6.83e-123, 6.83e-123j)
| (4.078146920586073217 - 1.1641656328175078919e-490j)  +/-  (2.37e-121, 2.37e-121j)
| (1.0751657264950848227 + 3.6364195276139896881e-493j)  +/-  (2.75e-124, 2.75e-124j)
| (2.2101003296710005571 + 1.0339544866474407067e-493j)  +/-  (2.29e-122, 2.29e-122j)
| (-1.0751657264950848227 - 1.878986551396346435e-496j)  +/-  (2.53e-124, 2.53e-124j)
| (-0.34331566773249768139 - 3.9113040236188482166e-498j)  +/-  (1.77e-126, 1.77e-126j)
| (-4.6137908928443166918 + 9.7249185531140393042e-499j)  +/-  (1.88e-121, 1.88e-121j)
| (0.7071067811865475244 - 3.2429895431842125723e-507j)  +/-  (2.54e-125, 2.54e-125j)
-------------------------------------------------
The weights are:
| (1.7482479245733528351e-05 + 1.473401607774981833e-441j)  +/-  (5.88e-42, 4.08e-102j)
| (5.8470651691671311399e-13 - 4.9528331185001920858e-447j)  +/-  (5.72e-48, 3.96e-108j)
| (1.7392473320756836961e-08 + 6.7454415830000629653e-445j)  +/-  (2.87e-46, 1.99e-106j)
| (5.8470651691671311399e-13 + 1.2568141853338641917e-447j)  +/-  (4.2e-49, 2.91e-109j)
| (1.7990203499765152618e-10 + 2.0513169406089161837e-445j)  +/-  (1.87e-47, 1.3e-107j)
| (2.4258898316561959862e-16 - 1.2563330284511868689e-449j)  +/-  (6.45e-51, 4.47e-111j)
| (2.4258898316561959862e-16 + 4.0085067741218494051e-449j)  +/-  (1.55e-50, 1.07e-110j)
| (0.0017981846968307150364 + 1.8699189654280178694e-441j)  +/-  (8.16e-43, 5.65e-103j)
| (0.1774688952996270904 - 1.7387756135825138858e-439j)  +/-  (2.45e-41, 1.69e-101j)
| (7.5690600704151714974e-07 + 1.0293277294704121254e-442j)  +/-  (1.33e-45, 9.19e-106j)
| (0.19013874020201802642 + 1.7743206095062900755e-439j)  +/-  (1.86e-41, 1.29e-101j)
| (0.0002309128838846659667 - 4.6194035740840818173e-441j)  +/-  (1.09e-43, 7.56e-104j)
| (7.5690600704151714974e-07 - 7.3436783994342017786e-444j)  +/-  (5.83e-47, 4.04e-107j)
| (1.7482479245733528351e-05 + 5.8547344011721075918e-443j)  +/-  (3.71e-46, 2.57e-106j)
| (0.025916255200745409285 + 6.0333336390114434266e-440j)  +/-  (3.69e-42, 2.55e-102j)
| (0.0083942395551544711227 - 2.8496042076173535964e-440j)  +/-  (2.43e-43, 1.68e-103j)
| (0.025916255200745409285 + 2.2180082799053977634e-440j)  +/-  (2.9e-43, 2.01e-103j)
| (0.0002309128838846659667 - 3.671678489907720887e-442j)  +/-  (7.43e-46, 5.15e-106j)
| (0.12662446928692761045 + 8.806430485949556426e-440j)  +/-  (5.07e-43, 3.47e-103j)
| (0.0083942395551544711227 - 7.5286140403947613634e-441j)  +/-  (3.27e-44, 2.26e-104j)
| (1.7392473320756836961e-08 - 4.9579924546874482489e-444j)  +/-  (5.13e-49, 3.51e-109j)
| (0.064479416017607944625 - 1.0006513248527080581e-439j)  +/-  (4.36e-44, 2.84e-104j)
| (0.0017981846968307150364 + 1.1141846188267016287e-440j)  +/-  (1.49e-45, 1.02e-105j)
| (0.064479416017607944625 - 4.8547833071872592257e-440j)  +/-  (2.87e-44, 1.98e-104j)
| (0.1774688952996270904 - 1.3922027891180908383e-439j)  +/-  (6.6e-44, 4.57e-104j)
| (1.7990203499765152618e-10 - 4.0204445250255601979e-446j)  +/-  (3.81e-51, 3.1e-111j)
| (0.12662446928692761045 + 1.4007706735706946644e-439j)  +/-  (2.96e-44, 1.66e-104j)
