Starting with polynomial:
P : 2*t
Extension levels are: 1 2 22
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^25 - 1279876267/4538860*t^23 + 151558958551/9077720*t^21 - 1976989970571/3631088*t^19 + 78324605791047/7262176*t^17 - 981007308626499/7262176*t^15 + 15693999623658279/14524352*t^13 - 158455566430788627/29048704*t^11 + 976491567253807605/58097408*t^9 - 6908808922367547195/232389632*t^7 + 12611939144079730455/464779264*t^5 - 9741254137443283455/929558528*t^3 + 2004277263248975715/1859117056*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:   25 out of 25
Indefinite weights: 0 out of 25
Negative weights:   0 out of 25
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.6559823012026191235 - 1.961510937676584549e-485j)  +/-  (1.12e-121, 1.12e-121j)
| (6.039443207290663385 + 1.9401628577208786445e-495j)  +/-  (8.23e-123, 8.23e-123j)
| (-5.2861780297648180557 + 1.82165814890552404e-497j)  +/-  (4.56e-122, 4.56e-122j)
| (-4.6559823012026191235 + 2.7600419212802891678e-499j)  +/-  (9.88e-122, 9.88e-122j)
| (3.5592547227066103806 - 1.0103854587143003632e-502j)  +/-  (1.15e-121, 1.15e-121j)
| (-6.039443207290663385 - 4.6708085113344088581e-513j)  +/-  (8.06e-123, 8.06e-123j)
| (4.0880438423850602068 + 1.8571986399328869337e-516j)  +/-  (1.46e-121, 1.46e-121j)
| (-2.576912072572722774 - 9.8669246429534585831e-522j)  +/-  (2.61e-122, 2.61e-122j)
| (-3.0578323178374879644 - 5.4154752306137016033e-523j)  +/-  (5.91e-122, 5.91e-122j)
| (5.2861780297648180557 + 7.4124809565225820683e-533j)  +/-  (4.55e-122, 4.55e-122j)
| (1.2247448713915890491 - 1.659660473085027376e-538j)  +/-  (2.06e-124, 2.06e-124j)
| (-1.6618119347018999181 - 2.9326919960224683442e-537j)  +/-  (1.47e-123, 1.47e-123j)
| (-1.2247448713915890491 + 6.1135072916473263437e-539j)  +/-  (2.15e-124, 2.15e-124j)
| (1.6618119347018999181 - 3.8427760118926051303e-537j)  +/-  (1.43e-123, 1.43e-123j)
| (-4.0880438423850602068 - 3.5588226329252494599e-536j)  +/-  (1.36e-121, 1.36e-121j)
| (2.1123325873534318024 - 4.7790159856991671075e-536j)  +/-  (6.69e-123, 6.69e-123j)
| (-3.5592547227066103806 - 5.5519827665994995742e-538j)  +/-  (1.27e-121, 1.27e-121j)
| (3.0578323178374879644 + 1.5415331801786550446e-538j)  +/-  (7.44e-122, 7.44e-122j)
| (-0.39504959875357430503 + 6.1862853648988092671e-549j)  +/-  (2.74e-126, 2.74e-126j)
| (2.576912072572722774 + 5.8591906689079128529e-548j)  +/-  (2.76e-122, 2.76e-122j)
| (0.39504959875357430503 - 1.8087186427770946025e-553j)  +/-  (2.99e-126, 2.99e-126j)
| (0.80210499015057889677 - 9.0338969902334720932e-553j)  +/-  (2.62e-125, 2.62e-125j)
| (1.661811543297010684e-558 - 1.9900008290192442059e-557j)  +/-  (4.99e-556, 4.99e-556j)
| (-2.1123325873534318024 - 2.218257295303299594e-551j)  +/-  (8.02e-123, 8.02e-123j)
| (-0.80210499015057889677 - 1.3382808686355435794e-555j)  +/-  (2.62e-125, 2.62e-125j)
-------------------------------------------------
The weights are:
| (1.2889594854448335483e-10 + 1.2287223492638933959e-494j)  +/-  (1.73e-45, 5.58e-106j)
| (7.0451234372221445699e-17 - 1.0524932942610561762e-498j)  +/-  (2.89e-48, 9.31e-109j)
| (2.7867174059376796384e-13 - 1.0474436635299286037e-497j)  +/-  (4.24e-48, 1.37e-108j)
| (1.2889594854448335483e-10 + 2.7151178477080508011e-496j)  +/-  (5.1e-47, 1.65e-107j)
| (9.1270872159529239353e-07 + 2.4930470397006859768e-493j)  +/-  (9.42e-45, 3.04e-105j)
| (7.0451234372221445699e-17 + 1.3614075712773275838e-499j)  +/-  (6.21e-50, 2e-110j)
| (1.7001204221299340435e-08 - 5.7795563858567795202e-494j)  +/-  (8.91e-46, 2.87e-106j)
| (0.00034805979505791089445 + 9.8291115311812114184e-493j)  +/-  (9.48e-44, 3.06e-104j)
| (2.404816161909029564e-05 - 2.0869688452107272238e-493j)  +/-  (5.9e-45, 1.9e-105j)
| (2.7867174059376796384e-13 + 1.6524791217264237814e-496j)  +/-  (7.06e-49, 2.28e-109j)
| (0.054147228347497230886 - 4.426008337243030077e-491j)  +/-  (1.74e-40, 5.61e-101j)
| (0.015823017276083571463 + 1.0701261800114769826e-491j)  +/-  (3.29e-42, 1.06e-102j)
| (0.054147228347497230886 - 2.5824502694458400048e-491j)  +/-  (6.99e-41, 2.25e-101j)
| (0.015823017276083571463 + 2.2580001082800013322e-491j)  +/-  (4.94e-43, 1.59e-103j)
| (1.7001204221299340435e-08 - 3.7539141495353218893e-495j)  +/-  (1.27e-47, 4.11e-108j)
| (0.0029773899101820083118 - 9.6291571249926379213e-492j)  +/-  (9.76e-45, 3.14e-105j)
| (9.1270872159529239353e-07 + 3.3281978778818775011e-494j)  +/-  (6.48e-47, 2.09e-107j)
| (2.404816161909029564e-05 - 1.0073203989135054531e-492j)  +/-  (8.34e-47, 2.69e-107j)
| (0.1929298917427120589 - 8.0701787079057977376e-491j)  +/-  (6.82e-44, 2.19e-104j)
| (0.00034805979505791089445 + 3.4194576264962340589e-492j)  +/-  (4.31e-46, 1.39e-106j)
| (0.1929298917427120589 - 9.5666214274050460441e-491j)  +/-  (2.58e-44, 8.28e-105j)
| (0.12300747315669877234 + 7.2140809372974506756e-491j)  +/-  (1.39e-44, 4.41e-105j)
| (0.22148392354209769917 + 9.992078176980413874e-491j)  +/-  (1.75e-44, 5.71e-105j)
| (0.0029773899101820083118 - 3.6188036710596930177e-492j)  +/-  (9.08e-47, 3.89e-107j)
| (0.12300747315669877234 + 5.09375928970350697e-491j)  +/-  (3.3e-45, 9.31e-106j)
