Starting with polynomial:
P : 2*t^2 - 1
Extension levels are: 2 7 8
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Trying to find an order 7 Kronrod extension for:
P1 : 2*t^2 - 1
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P2 : 2*t^9 - 5*t^7 + 17/4*t^5 - 11/8*t^3 + 1/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^17 - 9*t^15 + 67/4*t^13 - 133/8*t^11 + 605/64*t^9 - 393/128*t^7 + 273/512*t^5 - 43/1024*t^3 + 1/1024*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:
| (1 + 1.033854068626738083e-402j)  +/-  (1.93e-122, 1.93e-122j)
| (-0.98078528040323044913 - 5.3787828485060562374e-412j)  +/-  (3.52e-122, 3.52e-122j)
| (-0.92387953251128675613 - 1.9079883923337412434e-419j)  +/-  (1.85e-122, 1.85e-122j)
| (-1 - 5.8543966077952263997e-421j)  +/-  (1.85e-122, 1.85e-122j)
| (0.98078528040323044913 - 2.6936934110811260065e-426j)  +/-  (2.98e-122, 2.98e-122j)
| (0.92387953251128675613 - 2.9059422531936319333e-439j)  +/-  (1.68e-122, 1.68e-122j)
| (-0.19509032201612826785 - 1.5416637106861421797e-454j)  +/-  (5.56e-127, 5.56e-127j)
| (-0.83146961230254523708 - 5.6964420817774065625e-450j)  +/-  (4.96e-123, 4.96e-123j)
| (-0.38268343236508977173 - 7.9573774527232164078e-454j)  +/-  (9.3e-126, 9.3e-126j)
| (0.38268343236508977173 - 1.5263199423402091329e-451j)  +/-  (1.05e-125, 1.05e-125j)
| (0.83146961230254523708 + 1.7109706876448473483e-450j)  +/-  (5.1e-123, 5.1e-123j)
| (0.19509032201612826785 - 3.1800856662351362192e-460j)  +/-  (5.56e-127, 5.56e-127j)
| (-0.55557023301960222474 - 1.506754875192362161e-459j)  +/-  (1.32e-124, 1.32e-124j)
| (-0.7071067811865475244 + 6.8957865438348596346e-459j)  +/-  (9.44e-124, 9.44e-124j)
| (8.1842346575788068263e-464 - 3.2075717295603909843e-461j)  +/-  (5.45e-460, 5.45e-460j)
| (0.7071067811865475244 + 3.3252950573874255443e-460j)  +/-  (1.22e-123, 1.22e-123j)
| (0.55557023301960222474 + 4.438400312804991144e-473j)  +/-  (1.07e-124, 1.07e-124j)
-------------------------------------------------
The weights are:
| (0.03125 - 2.7623288396035799408e-402j)  +/-  (1.01e-47, 1.34e-106j)
| (0.0625 + 3.2621345072793940571e-404j)  +/-  (4.5e-48, 5.95e-107j)
| (0.0625 - 3.3586239190498439456e-404j)  +/-  (2.33e-48, 3.08e-107j)
| (0.03125 - 1.615397069707506581e-404j)  +/-  (2.07e-48, 2.73e-107j)
| (0.0625 + 3.3628322788382135416e-402j)  +/-  (7.81e-49, 1.03e-107j)
| (0.0625 - 8.4886340585609929265e-403j)  +/-  (2.47e-49, 3.26e-108j)
| (0.0625 + 5.4067778851249865561e-404j)  +/-  (4.18e-50, 5.53e-109j)
| (0.0625 + 3.528089051698354783e-404j)  +/-  (7.71e-50, 1.02e-108j)
| (0.0625 - 4.6732229300620895097e-404j)  +/-  (3.61e-50, 4.77e-109j)
| (0.0625 - 1.0467219359025117376e-403j)  +/-  (3.18e-51, 4.2e-110j)
| (0.0625 + 3.8340788369895116294e-403j)  +/-  (3.5e-51, 4.63e-110j)
| (0.0625 + 8.0277180202390490976e-404j)  +/-  (2.97e-51, 3.93e-110j)
| (0.0625 + 4.1538387527999133488e-404j)  +/-  (3.03e-51, 4.01e-110j)
| (0.0625 - 3.785110562009832456e-404j)  +/-  (2.31e-51, 3.06e-110j)
| (0.0625 - 6.4615879254895135051e-404j)  +/-  (1.71e-51, 2.25e-110j)
| (0.0625 - 2.2061241139383406718e-403j)  +/-  (2.05e-52, 2.77e-111j)
| (0.0625 + 1.4539052979837065142e-403j)  +/-  (2.22e-52, 2.87e-111j)
