Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 22
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Trying to find an order 22 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
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Ending with final polynomial:
P : 5/2*t^25 - 4304920607/274261356*t^23 + 535516272071/12341761020*t^21 - 57135203279/822784068*t^19 + 34407359525693/483522770628*t^17 - 11213406733991/229968147006*t^15 + 2634095698720717/116287226336034*t^13 - 316692035130031/44725856283090*t^11 + 19427608737779/13417756884927*t^9 - 33887938275433/184866872636772*t^7 + 7220648427839/554600617910316*t^5 - 186639634254031/434252283823777428*t^3 + 491711610341/116734484898864900*t
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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
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The nodes are:
| (1.8910568487064238765e-445 + 1.5220480195051940925e-445j)  +/-  (6.07e-444, 6.07e-444j)
| (-0.59246139122526384697 + 4.119758008280335944e-445j)  +/-  (3.99e-122, 3.99e-122j)
| (-0.90645424894012878232 + 6.3460008076253308134e-442j)  +/-  (1.45e-119, 1.45e-119j)
| (0.99647879710407177562 + 4.4251247161188782272e-440j)  +/-  (9.1e-120, 9.1e-120j)
| (0.90645424894012878232 + 5.1528430344880376273e-455j)  +/-  (1.35e-119, 1.35e-119j)
| (0.59246139122526384697 - 2.3239258979035797329e-465j)  +/-  (3.9e-122, 3.9e-122j)
| (0.12665534453285795461 + 1.6225150137335710601e-469j)  +/-  (1.15e-126, 1.15e-126j)
| (-0.84739759191912559703 - 2.7177838200290193952e-463j)  +/-  (5.42e-120, 5.42e-120j)
| (0.98078434497892796555 + 5.2489299231494623079e-462j)  +/-  (2.46e-119, 2.46e-119j)
| (-0.99647879710407177562 - 4.2456000473147815806e-469j)  +/-  (9.6e-120, 9.6e-120j)
| (0.84739759191912559703 - 1.2799677433033556333e-472j)  +/-  (4.86e-120, 4.86e-120j)
| (0.48605921442306279178 + 8.6438469816611564123e-481j)  +/-  (3.84e-123, 3.84e-123j)
| (-0.95099486987601353325 + 7.3948042445747914662e-479j)  +/-  (2.23e-119, 2.23e-119j)
| (-0.68916325145886514336 + 3.5284165177895840246e-483j)  +/-  (2.67e-121, 2.67e-121j)
| (-0.98078434497892796555 + 4.5253859048095632589e-482j)  +/-  (2.51e-119, 2.51e-119j)
| (0.68916325145886514336 - 5.2039024595051804464e-483j)  +/-  (2.58e-121, 2.58e-121j)
| (0.95099486987601353325 + 4.9497133189529994613e-490j)  +/-  (2.24e-119, 2.24e-119j)
| (-0.12665534453285795461 - 1.5173807270491929631e-505j)  +/-  (9.51e-127, 9.51e-127j)
| (-0.77459666924148337704 + 1.0625527153782123201e-501j)  +/-  (1.45e-120, 1.45e-120j)
| (-0.25123376103877391821 + 1.0178886323139219434e-507j)  +/-  (1.69e-125, 1.69e-125j)
| (0.37169290708053307091 - 2.9272023009161095425e-504j)  +/-  (2.8e-124, 2.8e-124j)
| (0.77459666924148337704 + 8.5044404113111258467e-506j)  +/-  (1.51e-120, 1.51e-120j)
| (0.25123376103877391821 - 4.9709784480599067669e-513j)  +/-  (1.64e-125, 1.64e-125j)
| (-0.37169290708053307091 + 2.1234735613437849348e-513j)  +/-  (3.03e-124, 3.03e-124j)
| (-0.48605921442306279178 + 1.7727944839710186985e-512j)  +/-  (3.4e-123, 3.4e-123j)
-------------------------------------------------
The weights are:
| (0.12700265503823524958 - 4.8144628507006985358e-441j)  +/-  (5.1e-38, 1.52e-95j)
| (0.1018284941613619432 + 2.7872044697532714116e-441j)  +/-  (2.92e-38, 8.71e-96j)
| (0.051891919253918168657 + 1.4458700496489545417e-441j)  +/-  (9.97e-39, 2.97e-96j)
| (0.0091295642656108731872 - 5.1828063963469896895e-440j)  +/-  (3.09e-39, 9.23e-97j)
| (0.051891919253918168657 + 2.9616440569905394589e-440j)  +/-  (1.77e-39, 5.27e-97j)
| (0.1018284941613619432 + 1.0350716511309047843e-440j)  +/-  (1.09e-39, 3.27e-97j)
| (0.12596130194715576306 + 5.4726258456240472858e-441j)  +/-  (2.88e-39, 8.6e-97j)
| (0.06608979026928525291 - 2.3826916315725519457e-441j)  +/-  (1.33e-39, 3.97e-97j)
| (0.022540609459500267004 + 7.9006778246933017904e-440j)  +/-  (9.56e-40, 2.85e-97j)
| (0.0091295642656108731872 - 1.4724174500943350697e-442j)  +/-  (3.16e-41, 9.42e-99j)
| (0.06608979026928525291 - 2.1287857115032574227e-440j)  +/-  (2.8e-40, 8.36e-98j)
| (0.11068595156502984336 - 8.6128589830727370514e-441j)  +/-  (2.78e-40, 8.29e-98j)
| (0.037143491958451723314 - 4.7847675831950450516e-442j)  +/-  (5.13e-41, 1.53e-98j)
| (0.091313289566979384026 - 2.5377250852327729416e-441j)  +/-  (7.84e-42, 2.34e-99j)
| (0.022540609459500267004 + 4.2087645573181825522e-442j)  +/-  (3.88e-41, 1.16e-98j)
| (0.091313289566979384026 - 1.2733961419344917818e-440j)  +/-  (3.02e-42, 9.01e-100j)
| (0.037143491958451723314 - 4.4589994471805342824e-440j)  +/-  (9.44e-42, 2.82e-99j)
| (0.12596130194715576306 + 4.2696738600597865559e-441j)  +/-  (5.09e-43, 1.52e-100j)
| (0.079325454484640242908 + 2.3541531168599262651e-441j)  +/-  (1.61e-42, 4.79e-100j)
| (0.1228545700928224902 - 3.8109466142055159029e-441j)  +/-  (1.65e-43, 4.92e-101j)
| (0.11773423545612642338 + 7.3013494379854254455e-441j)  +/-  (1.25e-43, 3.72e-101j)
| (0.079325454484640242908 + 1.6143304506837564474e-440j)  +/-  (1.78e-43, 5.31e-101j)
| (0.1228545700928224902 - 6.2829239644265254386e-441j)  +/-  (8.49e-44, 2.53e-101j)
| (0.11773423545612642338 + 3.419244833818556101e-441j)  +/-  (6.53e-45, 1.95e-102j)
| (0.11068595156502984336 - 3.0810333022743390785e-441j)  +/-  (5.67e-45, 1.68e-102j)
