Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 12
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Trying to find an order 12 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
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Ending with final polynomial:
P : 63/8*t^17 - 15500107/453038*t^15 + 14463685/235828*t^13 - 754990808/12911583*t^11 + 2466422101/77469498*t^9 - 2971987447/301270270*t^7 + 61205289431/37615745140*t^5 - 683012759/5642361771*t^3 + 39745277/15046298056*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:
| (0.9962698516849579968 - 1.14444931181654687e-422j)  +/-  (1.72e-122, 1.72e-122j)
| (-0.96827060709476223499 + 9.1725773634136545173e-429j)  +/-  (3.05e-122, 3.05e-122j)
| (-0.9061798459386639928 - 1.1283784477590168737e-433j)  +/-  (1.63e-122, 1.63e-122j)
| (-0.9962698516849579968 - 1.1802855261720355985e-438j)  +/-  (1.42e-122, 1.42e-122j)
| (0.96827060709476223499 - 1.5543528210862456872e-445j)  +/-  (3.12e-122, 3.12e-122j)
| (0.9061798459386639928 + 3.0506252707632494735e-457j)  +/-  (1.74e-122, 1.74e-122j)
| (-0.18847441760531908906 - 1.3523678402629618074e-471j)  +/-  (1.02e-126, 1.02e-126j)
| (-0.81141684513575577466 + 3.9846552436319410398e-468j)  +/-  (6.19e-123, 6.19e-123j)
| (-0.3701498540017078954 - 1.0816527779531796314e-469j)  +/-  (1.5e-125, 1.5e-125j)
| (0.3701498540017078954 + 4.1835305943128971662e-467j)  +/-  (1.47e-125, 1.47e-125j)
| (0.81141684513575577466 + 8.8039750136761788201e-471j)  +/-  (6.33e-123, 6.33e-123j)
| (0.18847441760531908906 - 1.0493356793604782198e-477j)  +/-  (1.02e-126, 1.02e-126j)
| (-0.53846931010568309104 + 9.8988097110453205699e-480j)  +/-  (1.73e-124, 1.73e-124j)
| (-0.68735255126326749856 + 1.6962640804476866285e-478j)  +/-  (1.46e-123, 1.46e-123j)
| (2.2603359862767502807e-479 - 3.0002867718340148004e-479j)  +/-  (6.39e-478, 6.39e-478j)
| (0.68735255126326749856 + 1.0149021032909289196e-479j)  +/-  (1.36e-123, 1.36e-123j)
| (0.53846931010568309104 + 1.5734262328367706048e-490j)  +/-  (1.93e-124, 1.93e-124j)
-------------------------------------------------
The weights are:
| (0.012129809232142170542 + 9.2171186924229493268e-423j)  +/-  (1.54e-47, 2.02e-106j)
| (0.044983813231863953531 - 1.8141217218926750938e-424j)  +/-  (6.9e-48, 9.05e-107j)
| (0.078882401822426793612 + 2.571595358206458142e-424j)  +/-  (4.28e-48, 5.61e-107j)
| (0.012129809232142170542 + 6.9675377393698785665e-425j)  +/-  (2.44e-48, 3.21e-107j)
| (0.044983813231863953531 - 1.2728660352936032114e-422j)  +/-  (1.03e-48, 1.36e-107j)
| (0.078882401822426793612 + 5.4306846286233217162e-423j)  +/-  (4.08e-49, 5.35e-108j)
| (0.18619592264798858568 - 6.4748042048393910966e-424j)  +/-  (8.53e-50, 1.12e-108j)
| (0.11007602167587800241 - 3.2302275670608249446e-424j)  +/-  (1.32e-49, 1.73e-108j)
| (0.17605818708249021017 + 5.4536983795101080107e-424j)  +/-  (7.3e-50, 9.57e-109j)
| (0.17605818708249021017 + 1.1901962302065911184e-423j)  +/-  (6.46e-51, 8.46e-110j)
| (0.11007602167587800241 - 3.1588972894292765348e-423j)  +/-  (5.92e-51, 7.77e-110j)
| (0.18619592264798858568 - 9.4962092432038104751e-424j)  +/-  (6.15e-51, 8.07e-110j)
| (0.15956366065388576874 - 4.6147155828902882544e-424j)  +/-  (5.85e-51, 7.68e-110j)
| (0.13730233425506702533 + 3.8916492921654200726e-424j)  +/-  (4.13e-51, 5.43e-110j)
| (0.18961569879651497996 + 7.7725579786610709565e-424j)  +/-  (3.57e-51, 4.69e-110j)
| (0.13730233425506702533 + 2.1209922438735635779e-423j)  +/-  (3.69e-52, 4.95e-111j)
| (0.15956366065388576874 - 1.5470517990204226076e-423j)  +/-  (4.31e-52, 5.53e-111j)
