Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 17
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Trying to find an order 17 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^19 - 746491/110950*t^17 + 2101438/166425*t^15 - 6950314/540485*t^13 + 120809429/15674065*t^11 - 684437/248211*t^9 + 60910694/106868625*t^7 - 153288694/2457978375*t^5 + 61922653/20647018350*t^3 - 276029/6882339450*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
-------------------------------------------------
The nodes are:
| (0.99182888880131013627 - 2.2422160901101818771e-406j)  +/-  (2.06e-122, 2.06e-122j)
| (-0.29186238049804889916 - 1.4403858909453280415e-415j)  +/-  (1.02e-125, 1.02e-125j)
| (-0.95722644075867400963 + 1.7492192722311271755e-416j)  +/-  (4.6e-122, 4.6e-122j)
| (-0.14443509436305699224 - 5.6360785287387587091e-424j)  +/-  (5.81e-127, 5.81e-127j)
| (0.89611184706327993449 - 3.1347929439138338099e-424j)  +/-  (3.97e-122, 3.97e-122j)
| (0.95722644075867400963 - 2.9938567642573292963e-437j)  +/-  (4.29e-122, 4.29e-122j)
| (-0.99182888880131013627 - 4.1831993478720450999e-440j)  +/-  (1.79e-122, 1.79e-122j)
| (-0.89611184706327993449 - 3.5986010118242039345e-442j)  +/-  (4.27e-122, 4.27e-122j)
| (-0.43837095597551267509 - 3.4630948009579238302e-445j)  +/-  (1.13e-124, 1.13e-124j)
| (0.43837095597551267509 + 2.8871618743228104009e-443j)  +/-  (1.14e-124, 1.14e-124j)
| (0.81041322502523245672 - 1.0982743006536494443e-446j)  +/-  (1.84e-122, 1.84e-122j)
| (0.29186238049804889916 + 1.0174723818475119036e-450j)  +/-  (1.16e-125, 1.16e-125j)
| (-0.57735026918962576451 - 1.2255107366298184092e-450j)  +/-  (1.05e-123, 1.05e-123j)
| (-0.70292907683295212742 - 8.8825583948339459992e-451j)  +/-  (5.18e-123, 5.18e-123j)
| (0.14443509436305699224 + 1.9813777411837840022e-453j)  +/-  (7.09e-127, 7.09e-127j)
| (0.70292907683295212742 + 3.2686968484264967567e-452j)  +/-  (4.56e-123, 4.56e-123j)
| (0.57735026918962576451 - 5.5085571487347256243e-462j)  +/-  (1.03e-123, 1.03e-123j)
| (-1.6826547059363274512e-467 + 5.0181347471608964531e-467j)  +/-  (1.01e-465, 1.01e-465j)
| (-0.81041322502523245672 + 2.374968668974636733e-472j)  +/-  (1.67e-122, 1.67e-122j)
-------------------------------------------------
The weights are:
| (0.020937788569707789217 + 2.9034196155342636068e-406j)  +/-  (1.62e-45, 4.02e-105j)
| (0.1480391301581163126 - 1.7152843429408177614e-406j)  +/-  (7.19e-46, 1.79e-105j)
| (0.048105692341080396574 - 8.5475336050890990171e-408j)  +/-  (1.1e-46, 2.74e-106j)
| (0.14603698412290110261 + 2.4229883883600014662e-406j)  +/-  (4.97e-46, 1.24e-105j)
| (0.073800998663401390641 + 3.5053587528482083458e-406j)  +/-  (9.81e-47, 2.44e-106j)
| (0.048105692341080396574 - 4.8145772611515591392e-406j)  +/-  (1.08e-46, 2.7e-106j)
| (0.020937788569707789217 + 2.3666908211413972161e-408j)  +/-  (1.38e-47, 3.44e-107j)
| (0.073800998663401390641 + 1.7771880390763189377e-407j)  +/-  (1.99e-47, 4.95e-107j)
| (0.14382490780825047582 + 1.1491167296117793946e-406j)  +/-  (4.15e-47, 1.03e-106j)
| (0.14382490780825047582 + 2.9694516470300118318e-406j)  +/-  (2.61e-48, 6.48e-108j)
| (0.097130188320906582162 - 3.0552350248138439794e-406j)  +/-  (3.33e-48, 8.28e-108j)
| (0.1480391301581163126 - 3.1457155580970031903e-406j)  +/-  (2.1e-48, 5.23e-108j)
| (0.133154282366819349 - 7.5695662917380241994e-407j)  +/-  (1.1e-48, 2.74e-108j)
| (0.11722471094325478293 + 4.9116888168051908449e-407j)  +/-  (3.9e-49, 9.69e-109j)
| (0.14603698412290110261 + 3.2489669548434889605e-406j)  +/-  (4.08e-49, 1.02e-108j)
| (0.11722471094325478293 + 2.881318508506167289e-406j)  +/-  (6.24e-50, 1.55e-109j)
| (0.133154282366819349 - 2.8657704178665444083e-406j)  +/-  (6.55e-50, 1.61e-109j)
| (0.14349063341112363689 - 3.0266173191089306794e-406j)  +/-  (6.76e-50, 1.84e-109j)
| (0.097130188320906582162 - 3.0754330133009327695e-407j)  +/-  (1.72e-50, 3.71e-110j)
