Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 20
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^22 - 30461783/3830466*t^20 + 66155815/3643614*t^18 - 14341808855/614151382*t^16 + 39940250075/2149529837*t^14 - 670092247/70863621*t^12 + 2251326473/732257417*t^10 - 13150594545/21235465093*t^8 + 27599544115/382238371674*t^6 - 544763725/127412790558*t^4 + 4285838227/43957412742510*t^2 - 333527539/923105667592710
-------------------------------------------------
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:
| (0.99406617535715816159 + 1.2899083519113681291e-436j)  +/-  (3.02e-121, 3.02e-121j)
| (-0.86102168810005007167 - 6.7602130208251863786e-448j)  +/-  (3.95e-121, 3.95e-121j)
| (-0.92419486526088066841 + 1.3001394847773685107e-449j)  +/-  (6.6e-121, 6.6e-121j)
| (-0.99406617535715816159 + 2.849564436314057442e-449j)  +/-  (2.94e-121, 2.94e-121j)
| (0.57735026918962576451 + 3.8305785976490303662e-449j)  +/-  (5.24e-123, 5.24e-123j)
| (0.96888548864291551998 - 2.8352392841991896294e-454j)  +/-  (6.74e-121, 6.74e-121j)
| (-0.4588223560349795942 - 5.5859870482527070493e-465j)  +/-  (6.09e-124, 6.09e-124j)
| (-0.96888548864291551998 - 2.8484916091642534476e-465j)  +/-  (6.71e-121, 6.71e-121j)
| (-0.780839931409340531 - 1.8272916056248857276e-464j)  +/-  (1.43e-121, 1.43e-121j)
| (0.92419486526088066841 - 1.6352490812469085722e-461j)  +/-  (6.89e-121, 6.89e-121j)
| (0.86102168810005007167 + 2.817776925474661786e-472j)  +/-  (3.84e-121, 3.84e-121j)
| (0.20139298243596146919 + 2.252126805829078501e-478j)  +/-  (3.37e-126, 3.37e-126j)
| (-0.33263121197918282965 + 6.425262072065584117e-484j)  +/-  (5.67e-125, 5.67e-125j)
| (-0.57735026918962576451 + 1.770692065003583272e-482j)  +/-  (5.73e-123, 5.73e-123j)
| (0.06741352924250103978 + 6.8375976244537160074e-483j)  +/-  (2.18e-127, 2.18e-127j)
| (0.780839931409340531 - 7.7115156304099189693e-483j)  +/-  (1.41e-121, 1.41e-121j)
| (0.4588223560349795942 + 2.0097963204584588517e-488j)  +/-  (6.04e-124, 6.04e-124j)
| (-0.06741352924250103978 - 5.8224134544287361536e-490j)  +/-  (2.18e-127, 2.18e-127j)
| (-0.68553363455588642792 - 6.2243101251211497061e-491j)  +/-  (3.35e-122, 3.35e-122j)
| (-0.20139298243596146919 + 1.4372686498122750937e-494j)  +/-  (3.37e-126, 3.37e-126j)
| (0.33263121197918282965 - 1.3568655043571756183e-494j)  +/-  (5.67e-125, 5.67e-125j)
| (0.68553363455588642792 + 6.7389686067540843047e-506j)  +/-  (3.63e-122, 3.63e-122j)
-------------------------------------------------
The weights are:
| (0.015210920799094348542 - 1.6615086418432902103e-436j)  +/-  (1.19e-40, 3.43e-99j)
| (0.07195851955592086287 - 1.1778797323135693183e-437j)  +/-  (6.01e-41, 1.73e-99j)
| (0.054141658448690159605 + 7.1035436635131337274e-438j)  +/-  (4.09e-41, 1.17e-99j)
| (0.015210920799094348542 + 9.868907254597405336e-439j)  +/-  (6.42e-42, 1.84e-100j)
| (0.11379591924099028863 - 1.2929518960128046706e-436j)  +/-  (4.67e-43, 1.34e-101j)
| (0.035067287826088645842 + 2.7379567666087694839e-436j)  +/-  (6.1e-43, 1.75e-101j)
| (0.12280938616757864457 - 4.5418635456719763151e-437j)  +/-  (6.31e-43, 1.81e-101j)
| (0.035067287826088645842 - 3.5122429573668969674e-438j)  +/-  (7.7e-42, 2.21e-100j)
| (0.088090248878647977086 + 1.7699897595009462142e-437j)  +/-  (2.29e-42, 6.58e-101j)
| (0.054141658448690159605 - 1.9502212055418552094e-436j)  +/-  (1.91e-43, 5.49e-102j)
| (0.07195851955592086287 + 1.6423607178538936335e-436j)  +/-  (6.86e-44, 1.97e-102j)
| (0.13295751469732193231 + 1.0955779983782450437e-436j)  +/-  (7.69e-45, 2.21e-103j)
| (0.12913233956113947195 + 5.8415283614216534968e-437j)  +/-  (1.54e-44, 4.43e-103j)
| (0.11379591924099028863 + 3.4287131387393849232e-437j)  +/-  (3.35e-44, 9.63e-103j)
| (0.13468967958343677053 - 9.9472351349001565257e-437j)  +/-  (1.61e-45, 4.63e-104j)
| (0.088090248878647977086 - 1.4733484840914013118e-436j)  +/-  (6.95e-46, 1.99e-104j)
| (0.12280938616757864457 + 1.2328627101124964537e-436j)  +/-  (3.59e-46, 1.03e-104j)
| (0.13468967958343677053 + 8.6837569473491901806e-437j)  +/-  (5.89e-46, 1.69e-104j)
| (0.10214652524109089806 - 2.5111652692615965432e-437j)  +/-  (6.73e-46, 1.93e-104j)
| (0.13295751469732193231 - 7.264449851002021392e-437j)  +/-  (4.27e-46, 1.22e-104j)
| (0.12913233956113947195 - 1.1716859319824485998e-436j)  +/-  (8.09e-47, 2.42e-105j)
| (0.10214652524109089806 + 1.3670365848161501421e-436j)  +/-  (5.39e-47, 1.45e-105j)
