Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 29
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Trying to find an order 29 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^31 - 809629325/68975838*t^29 + 163176262865/3931622766*t^27 - 140398069721/1601772238*t^25 + 10453253371925/84893928614*t^23 - 2807799821645/23152889622*t^21 + 11281006767875/131199707858*t^19 - 100773985461825/2271826520278*t^17 + 6667927334185/400910562402*t^15 - 3676438317175/820912103966*t^13 + 85374257899385/100972188787818*t^11 - 32584561221875/302916566363454*t^9 + 10777623135175/1245323661716422*t^7 - 493556578295/1245323661716422*t^5 + 2448421982525/287669765856493482*t^3 - 5223787255/95889921952164494*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
-------------------------------------------------
The nodes are:
| (-0.99810298117635420256 + 7.6872573333064014412e-411j)  +/-  (2.09e-117, 2.09e-117j)
| (-0.98883044340662827695 + 1.4682399182921263734e-411j)  +/-  (4.84e-117, 4.84e-117j)
| (-0.90253214471712153392 - 4.5718661950138874491e-413j)  +/-  (1.56e-117, 1.56e-117j)
| (0.99810298117635420256 + 6.4130015045635001559e-410j)  +/-  (2.15e-117, 2.15e-117j)
| (0.85428679554464149882 - 5.2136446082755004531e-421j)  +/-  (5.28e-118, 5.28e-118j)
| (0.94124089552676132904 - 4.8762949550719032784e-433j)  +/-  (3.14e-117, 3.14e-117j)
| (0.98883044340662827695 + 5.4792295277829492419e-444j)  +/-  (4.48e-117, 4.48e-117j)
| (-0.94124089552676132904 - 1.8950911525751555372e-452j)  +/-  (3.32e-117, 3.32e-117j)
| (-0.97005076626200535965 + 1.3641695661564540983e-454j)  +/-  (4.69e-117, 4.69e-117j)
| (0.97005076626200535965 - 1.1894337854145335272e-455j)  +/-  (4.66e-117, 4.66e-117j)
| (0.90253214471712153392 - 5.9872499560588588419e-467j)  +/-  (1.51e-117, 1.51e-117j)
| (0.79699980940889303247 + 1.4370473508882933184e-474j)  +/-  (1.69e-118, 1.69e-118j)
| (-0.85428679554464149882 - 3.3483817501619122066e-472j)  +/-  (5.8e-118, 5.8e-118j)
| (-0.79699980940889303247 - 5.9535023492564930466e-473j)  +/-  (1.65e-118, 1.65e-118j)
| (-3.5407937722370053416e-484 + 1.8883034357681020724e-484j)  +/-  (1.24e-482, 1.24e-482j)
| (0.73127172293510114269 - 2.1156128901415285079e-476j)  +/-  (3.62e-119, 3.62e-119j)
| (0.49078596608789532771 + 4.9108452869035246717e-479j)  +/-  (7.79e-122, 7.79e-122j)
| (-0.30302556975850304586 + 1.6664134422042777543e-480j)  +/-  (3.83e-124, 3.83e-124j)
| (-0.73127172293510114269 + 1.5856615577030904942e-475j)  +/-  (3.43e-119, 3.43e-119j)
| (-0.39902027216570816263 - 1.9991888831726379955e-481j)  +/-  (5.61e-123, 5.61e-123j)
| (0.39902027216570816263 + 3.1061036418877908062e-481j)  +/-  (6.12e-123, 6.12e-123j)
| (0.65779613167088068388 + 9.4233656361106175196e-479j)  +/-  (6.02e-120, 6.02e-120j)
| (0.10245253603656110251 + 6.5724905813773632436e-487j)  +/-  (9.85e-127, 9.85e-127j)
| (-0.49078596608789532771 + 4.5189895801179656127e-480j)  +/-  (7.35e-122, 7.35e-122j)
| (-0.57735026918962576451 + 1.2834653758824605553e-477j)  +/-  (8.05e-121, 8.05e-121j)
| (0.20381918089475145099 - 6.4512264653848271281e-485j)  +/-  (1.97e-125, 1.97e-125j)
| (0.57735026918962576451 + 2.0761717593120542272e-480j)  +/-  (7.59e-121, 7.59e-121j)
| (0.30302556975850304586 - 1.9362746091768864094e-483j)  +/-  (3.68e-124, 3.68e-124j)
| (-0.10245253603656110251 - 1.9557838727881870406e-485j)  +/-  (9.85e-127, 9.85e-127j)
| (-0.65779613167088068388 + 1.5090419207096910598e-481j)  +/-  (5.47e-120, 5.47e-120j)
| (-0.20381918089475145099 + 1.4451626605969618987e-486j)  +/-  (2.19e-125, 2.19e-125j)
-------------------------------------------------
The weights are:
| (0.0050567494361531762967 + 8.7872989954660490572e-411j)  +/-  (4.96e-24, 3.92e-79j)
| (0.013839470818002163195 - 1.1118968309308229668e-410j)  +/-  (3.86e-24, 3.05e-79j)
| (0.043549860672896595988 + 9.6482980572143160472e-412j)  +/-  (8.95e-25, 7.08e-80j)
| (0.0050567494361531762967 - 6.8199459773570006903e-410j)  +/-  (6.01e-26, 4.75e-81j)
| (0.052857978801531448993 + 1.5701186978567627733e-410j)  +/-  (2.51e-26, 1.99e-81j)
| (0.033806077877538975293 + 3.0814527416761878815e-410j)  +/-  (2.71e-26, 2.14e-81j)
| (0.013839470818002163195 + 9.955188018824566224e-410j)  +/-  (3.99e-26, 3.16e-81j)
| (0.033806077877538975293 - 2.0300650869498936872e-411j)  +/-  (1.52e-26, 1.21e-81j)
| (0.023786393856383687295 + 3.6503424801041549932e-411j)  +/-  (2.92e-26, 2.31e-81j)
| (0.023786393856383687295 - 4.9829365034479815995e-410j)  +/-  (6.75e-27, 5.34e-82j)
| (0.043549860672896595988 - 2.1248760437257969783e-410j)  +/-  (1.32e-27, 1.04e-82j)
| (0.061615714186137668842 - 1.2165951833500036799e-410j)  +/-  (4.53e-29, 3.58e-84j)
| (0.052857978801531448993 - 2.5002527920081912973e-412j)  +/-  (4.62e-29, 3.66e-84j)
| (0.061615714186137668842 - 2.1012232705371434717e-412j)  +/-  (8.62e-30, 6.82e-85j)
| (0.10263390296140371592 + 2.926481633093028409e-411j)  +/-  (3.16e-32, 2.5e-87j)
| (0.069724707255479470688 + 9.7553712023529859699e-411j)  +/-  (2.81e-30, 2.22e-85j)
| (0.089322789521366304997 - 5.7361525496443286748e-411j)  +/-  (4.19e-32, 3.32e-87j)
| (0.097773309176530059668 - 1.9860360879393411171e-411j)  +/-  (7.6e-33, 6.01e-88j)
| (0.069724707255479470688 + 5.8169522188721434224e-412j)  +/-  (7.57e-32, 5.99e-87j)
| (0.094046361212933084431 + 1.7150282391424245857e-411j)  +/-  (4.9e-33, 3.88e-88j)
| (0.094046361212933084431 + 4.9451062680015521987e-411j)  +/-  (2.97e-33, 2.35e-88j)
| (0.077096786969834169455 - 8.025530384010774019e-411j)  +/-  (2.27e-32, 1.79e-87j)
| (0.10208999485972068921 - 3.3169781014266797072e-411j)  +/-  (5.12e-34, 4.05e-89j)
| (0.089322789521366304997 - 1.4501474583732627037e-411j)  +/-  (3.59e-34, 2.84e-89j)
| (0.083652810230496701283 + 1.1816452992760940906e-411j)  +/-  (2.51e-34, 1.99e-89j)
| (0.1004640436442939464 + 3.7689221669500675879e-411j)  +/-  (8.21e-35, 6.49e-90j)
| (0.083652810230496701283 + 6.7333805546381618179e-411j)  +/-  (2.26e-34, 1.79e-89j)
| (0.097773309176530059668 - 4.302433820676646701e-411j)  +/-  (6.39e-35, 5.05e-90j)
| (0.10208999485972068921 - 2.5821984156528832929e-411j)  +/-  (9.16e-36, 7.25e-91j)
| (0.077096786969834169455 - 8.9757715255451587309e-412j)  +/-  (4.95e-36, 3.97e-91j)
| (0.1004640436442939464 + 2.2720756013905849546e-411j)  +/-  (5.56e-36, 4.39e-91j)
