Starting with polynomial:
P : 64*t^7 - 112*t^5 + 56*t^3 - 7*t
Extension levels are: 7 8
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Trying to find an order 8 Kronrod extension for:
P1 : 64*t^7 - 112*t^5 + 56*t^3 - 7*t
Solvable: 1
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Ending with final polynomial:
P : 64*t^15 - 256*t^13 + 412*t^11 - 340*t^9 + 303/2*t^7 - 35*t^5 + 231/64*t^3 - 7/64*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:
| (1 - 1.7555563598687893882e-299j)  +/-  (2.34e-123, 2.34e-123j)
| (-0.78183148246802980871 - 1.3732372628708252402e-301j)  +/-  (7.2e-124, 7.2e-124j)
| (-0.43388373911755812048 - 1.1543657102851081394e-310j)  +/-  (1.03e-125, 1.03e-125j)
| (0.62348980185873353053 - 4.3003570951280596761e-313j)  +/-  (1.07e-124, 1.07e-124j)
| (0.90096886790241912624 - 4.3973389340120193874e-313j)  +/-  (2.07e-123, 2.07e-123j)
| (0.97492791218182360702 - 3.0977107830225861359e-325j)  +/-  (5.79e-123, 5.79e-123j)
| (-1 + 6.9710275535093638301e-352j)  +/-  (2.34e-123, 2.34e-123j)
| (-0.90096886790241912624 - 3.9162438069010013393e-382j)  +/-  (2.04e-123, 2.04e-123j)
| (-0.97492791218182360702 + 3.3845958812536375539e-404j)  +/-  (5.01e-123, 5.01e-123j)
| (0.43388373911755812048 + 7.1819920009768612584e-420j)  +/-  (9.59e-126, 9.59e-126j)
| (0.78183148246802980871 - 1.5381818754474613752e-417j)  +/-  (8.14e-124, 8.14e-124j)
| (0.22252093395631440429 + 2.6823763173958241058e-421j)  +/-  (4.74e-127, 4.74e-127j)
| (-0.22252093395631440429 - 2.2274724000840681268e-417j)  +/-  (5.47e-127, 5.47e-127j)
| (-0.62348980185873353053 + 2.7141392671429341018e-416j)  +/-  (9.19e-125, 9.19e-125j)
| (2.1335204313168368646e-425 - 3.5625310465413288905e-424j)  +/-  (5.35e-423, 5.35e-423j)
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The weights are:
| (0.035714285714285714286 + 4.1070231592037935527e-299j)  +/-  (4.87e-48, 4.46e-108j)
| (0.071428571428571428571 - 6.9388901410764078531e-301j)  +/-  (1.12e-48, 1.03e-108j)
| (0.071428571428571428571 - 9.0271669987353988135e-301j)  +/-  (1.08e-48, 9.86e-109j)
| (0.071428571428571428571 + 3.337484068584802164e-300j)  +/-  (6.29e-49, 5.76e-109j)
| (0.071428571428571428571 + 1.266819880044188787e-299j)  +/-  (7.72e-49, 7.07e-109j)
| (0.071428571428571428571 - 5.0020119072988097562e-299j)  +/-  (1.21e-48, 1.1e-108j)
| (0.035714285714285714286 + 2.9101225055633783514e-301j)  +/-  (1.93e-50, 1.77e-110j)
| (0.071428571428571428571 + 5.7731506546971691616e-301j)  +/-  (1.67e-50, 1.53e-110j)
| (0.071428571428571428571 - 5.8414648896082507091e-301j)  +/-  (2.25e-50, 2.06e-110j)
| (0.071428571428571428571 - 2.2231060113913012943e-300j)  +/-  (9.19e-52, 8.4e-112j)
| (0.071428571428571428571 - 5.7539805054097113943e-300j)  +/-  (2.42e-51, 2.22e-111j)
| (0.071428571428571428571 + 1.6226314007242985389e-300j)  +/-  (1.97e-52, 1.8e-112j)
| (0.071428571428571428571 + 1.0432611814298249102e-300j)  +/-  (7.96e-53, 7.45e-113j)
| (0.071428571428571428571 + 8.3433823616282482347e-301j)  +/-  (9.6e-53, 9.28e-113j)
| (0.071428571428571428571 - 1.2665148026765125968e-300j)  +/-  (6.04e-53, 5.41e-113j)
