Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 14
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^19 - 29110357381/101992554*t^17 + 1619951720893/203985108*t^15 - 15088279415755/135990072*t^13 + 227384524996265/271980144*t^11 - 1848310702373135/543960288*t^9 + 851785811281405/120880064*t^7 - 1578667637211665/241760128*t^5 + 958190018560775/483520256*t^3 - 24793868073975/483520256*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: 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
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The nodes are:
| (3.4494037987217817641 + 2.6827719999595008639e-399j)  +/-  (2.19e-123, 2.19e-123j)
| (4.9225230135675407289 + 1.3333856858645630536e-400j)  +/-  (5.93e-124, 5.93e-124j)
| (-4.9225230135675407289 + 3.0123849415052208508e-398j)  +/-  (5.07e-124, 5.07e-124j)
| (4.1221485153234292975 + 1.2583827410346813819e-401j)  +/-  (1.56e-123, 1.56e-123j)
| (2.8407412288221127443 + 3.2667949303681794814e-401j)  +/-  (1.72e-123, 1.72e-123j)
| (-1.7320508075688772935 + 8.1860259559184309557e-408j)  +/-  (2.27e-124, 2.27e-124j)
| (-2.8407412288221127443 + 3.6948851411496754746e-424j)  +/-  (1.63e-123, 1.63e-123j)
| (-4.1221485153234292975 + 4.229187219522442917e-435j)  +/-  (2.09e-123, 2.09e-123j)
| (-3.4494037987217817641 + 1.3904054113608255135e-447j)  +/-  (2.18e-123, 2.18e-123j)
| (0.16871471504307699411 + 9.9675764202443427505e-453j)  +/-  (3.49e-127, 3.49e-127j)
| (1.2127956979998664481 + 1.0023261204714981537e-451j)  +/-  (4.76e-125, 4.76e-125j)
| (0.7071067811865475244 + 1.3141609135070753571e-452j)  +/-  (5.17e-126, 5.17e-126j)
| (-0.7071067811865475244 - 1.7763446246133772835e-452j)  +/-  (5.17e-126, 5.17e-126j)
| (-1.2127956979998664481 - 3.1718053234475852685e-451j)  +/-  (4.64e-125, 4.64e-125j)
| (2.6624287575024169707e-454 - 1.3616669952585890716e-454j)  +/-  (5.68e-453, 5.68e-453j)
| (1.7320508075688772935 - 2.9223374890191235059e-451j)  +/-  (2.56e-124, 2.56e-124j)
| (2.2722780294566847691 + 3.462897534267849524e-454j)  +/-  (8.26e-124, 8.26e-124j)
| (-0.16871471504307699411 - 1.8869746300109041847e-455j)  +/-  (3.49e-127, 3.49e-127j)
| (-2.2722780294566847691 + 7.2280567470894016724e-462j)  +/-  (8.46e-124, 8.46e-124j)
-------------------------------------------------
The weights are:
| (2.4369024083912168712e-06 - 2.6516838166275597526e-404j)  +/-  (3.78e-49, 4.36e-111j)
| (1.5505802101946287274e-11 + 5.6028877985538119636e-408j)  +/-  (2.53e-52, 2.92e-114j)
| (1.5505802101946287274e-11 + 1.5197117499389536208e-408j)  +/-  (6.74e-54, 7.77e-116j)
| (1.6933473169892204711e-08 - 5.7116667050247751542e-406j)  +/-  (7.85e-51, 9.04e-113j)
| (0.00010341896907416389361 + 8.6462496567941792569e-404j)  +/-  (8.84e-49, 1.02e-110j)
| (0.014851220416423478056 + 2.6178071904079725197e-403j)  +/-  (7.38e-48, 8.5e-110j)
| (0.00010341896907416389361 + 7.3649136177055203417e-405j)  +/-  (4.97e-51, 5.73e-113j)
| (1.6933473169892204711e-08 + 2.1923216283597471674e-407j)  +/-  (1.27e-53, 1.46e-115j)
| (2.4369024083912168712e-06 - 6.4636266814108064627e-406j)  +/-  (1.91e-52, 2.2e-114j)
| (0.4152773822802313395 - 3.7293841495773431743e-401j)  +/-  (1.9e-47, 2.28e-109j)
| (0.066212233331964417231 - 2.2577002392635428315e-402j)  +/-  (4.82e-49, 5.6e-111j)
| (0.17230876937658613882 + 5.7656964601583805569e-402j)  +/-  (7.51e-48, 8.99e-110j)
| (0.17230876937658613882 + 3.715859721804875413e-402j)  +/-  (1.88e-48, 2.24e-110j)
| (0.066212233331964417231 - 1.03968798962644482e-402j)  +/-  (3.91e-49, 4.51e-111j)
| (-0.34108140655834080762 + 6.3894693329063894781e-401j)  +/-  (8.14e-48, 9.72e-110j)
| (0.014851220416423478056 + 8.3759410449257751527e-403j)  +/-  (1.2e-50, 1.4e-112j)
| (0.0017852250535035031038 - 2.6942928922643981576e-403j)  +/-  (1.88e-51, 2.18e-113j)
| (0.4152773822802313395 - 3.3629174893579446184e-401j)  +/-  (6.54e-49, 9.24e-111j)
| (0.0017852250535035031038 - 5.1912515587780370934e-404j)  +/-  (1.43e-51, 1.52e-113j)
