Starting with polynomial:
P : 2*t
Extension levels are: 1 2 18
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 18 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^21 - 12952203/68336*t^19 + 987853833/136672*t^17 - 9840668841/68336*t^15 + 222748598835/136672*t^13 - 5840004786525/546688*t^11 + 43360655152815/1093376*t^9 - 85340399389245/1093376*t^7 + 155352674512035/2186752*t^5 - 385274669454675/17494016*t^3 + 24027902323425/34988032*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: 1
  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:
| (3.3444338676496712713 + 1.8784157667206874419e-439j)  +/-  (8.18e-123, 8.18e-123j)
| (-5.3853563457510686316 + 6.7348674817234556263e-441j)  +/-  (1.14e-123, 1.14e-123j)
| (4.6011958858009393032 - 1.9723583190105867584e-443j)  +/-  (5.76e-123, 5.76e-123j)
| (-4.6011958858009393032 - 1.642211115780502575e-446j)  +/-  (5.87e-123, 5.87e-123j)
| (5.3853563457510686316 + 1.2681519171860547662e-447j)  +/-  (1.4e-123, 1.4e-123j)
| (3.941861650961138182 - 1.2250652583540532989e-452j)  +/-  (9.8e-123, 9.8e-123j)
| (2.2498901573507839375 + 2.3874851341786379633e-453j)  +/-  (1.82e-123, 1.82e-123j)
| (-0.18703245774372996923 + 3.5899080564643687772e-458j)  +/-  (5.15e-127, 5.15e-127j)
| (-3.3444338676496712713 - 2.1562622201799212837e-462j)  +/-  (9.36e-123, 9.36e-123j)
| (6.8777564447659200493e-469 + 8.7169767075235481074e-469j)  +/-  (2.33e-467, 2.33e-467j)
| (1.2247448713915890491 + 8.9835863674611034352e-471j)  +/-  (7.16e-125, 7.16e-125j)
| (0.18703245774372996923 + 6.356128849235920495e-470j)  +/-  (5.15e-127, 5.15e-127j)
| (-1.7319350879389337601 + 1.5146519810945172243e-468j)  +/-  (4.86e-124, 4.86e-124j)
| (-1.2247448713915890491 - 5.3732472224733750385e-471j)  +/-  (7.62e-125, 7.62e-125j)
| (-3.941861650961138182 + 1.0388498075401692874e-473j)  +/-  (1.12e-122, 1.12e-122j)
| (1.7319350879389337601 + 1.1065525425354837195e-479j)  +/-  (4.49e-124, 4.49e-124j)
| (0.72167284382081647552 + 2.2069200861035434954e-481j)  +/-  (9.32e-126, 9.32e-126j)
| (-2.784698074503156652 - 3.4050285550153941734e-485j)  +/-  (5.56e-123, 5.56e-123j)
| (-0.72167284382081647552 - 4.1150429723603706644e-494j)  +/-  (9.32e-126, 9.32e-126j)
| (-2.2498901573507839375 - 4.8261863209818716141e-493j)  +/-  (1.8e-123, 1.8e-123j)
| (2.784698074503156652 + 6.3960692451846154461e-503j)  +/-  (5.11e-123, 5.11e-123j)
-------------------------------------------------
The weights are:
| (4.508668151637647589e-06 - 3.0858214555123649099e-444j)  +/-  (1.71e-49, 5.59e-110j)
| (1.2874282197399546648e-13 + 1.0183917707064580984e-449j)  +/-  (2.34e-54, 7.64e-115j)
| (2.5409011476331484289e-10 + 3.6766751120402710176e-447j)  +/-  (1.08e-52, 3.54e-113j)
| (2.5409011476331484289e-10 - 5.8159438328676535793e-448j)  +/-  (1.75e-53, 5.73e-114j)
| (1.2874282197399546648e-13 - 4.3539608608966464758e-449j)  +/-  (2.05e-54, 6.71e-115j)
| (6.2739849087170433288e-08 - 1.418699821550278996e-445j)  +/-  (1.35e-51, 4.4e-112j)
| (0.001876737515456819725 - 2.3474102351738344583e-443j)  +/-  (4.87e-49, 1.59e-109j)
| (0.37331864421127729351 - 1.3571046629337533977e-441j)  +/-  (1.46e-45, 4.78e-106j)
| (4.508668151637647589e-06 - 1.2661958378155781104e-445j)  +/-  (7.96e-53, 2.6e-113j)
| (-0.24463152944439541952 + 2.5303490615347371331e-441j)  +/-  (1.01e-45, 3.3e-106j)
| (0.063415912242955259759 - 1.2962362284250893988e-442j)  +/-  (1.79e-47, 5.85e-108j)
| (0.37331864421127729351 - 1.5178824730525136304e-441j)  +/-  (4.28e-46, 1.4e-106j)
| (0.014377034198887046646 + 1.8206065824870267829e-443j)  +/-  (8.31e-50, 2.71e-110j)
| (0.063415912242955259759 - 6.0134177458832773831e-443j)  +/-  (1.42e-48, 4.65e-109j)
| (6.2739849087170433288e-08 + 1.163295331392061549e-446j)  +/-  (6.3e-54, 2.06e-114j)
| (0.014377034198887046646 + 5.7314575180476850303e-443j)  +/-  (4.22e-50, 1.38e-110j)
| (0.16919086035322270515 + 2.9151385476561617525e-442j)  +/-  (2.26e-48, 7.39e-109j)
| (0.0001320045381790025732 + 8.9808538560448816961e-445j)  +/-  (1.75e-52, 5.71e-113j)
| (0.16919086035322270515 + 1.8803599079178578069e-442j)  +/-  (8.24e-50, 2.81e-110j)
| (0.001876737515456819725 - 4.5928395648817168457e-444j)  +/-  (9.69e-52, 3.16e-112j)
| (0.0001320045381790025732 + 9.8338610642352863277e-444j)  +/-  (1.23e-52, 4e-113j)
