Starting with polynomial:
P : t^4 - 6*t^2 + 3
Extension levels are: 4 5
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Trying to find an order 5 Kronrod extension for:
P1 : t^4 - 6*t^2 + 3
Solvable: 1
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Ending with final polynomial:
P : t^9 - 21*t^7 + 108*t^5 - 135*t^3 + 45*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
Sufficient bits for target precision reached
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The nodes are:
| (3.7313022243357029508 - 1.8033161362862765197e-130j)  +/-  (1.71e-62, 1.71e-62j)
| (-2.3344142183389772393 + 0j)  +/-  (2.55e-62, 2.55e-62j)
| (2.3344142183389772393 - 5.635362925894614124e-132j)  +/-  (2.55e-62, 2.55e-62j)
| (-3.7313022243357029508 + 3.3019704643913754633e-134j)  +/-  (1.31e-62, 1.31e-62j)
| (-1.0379709584894152952 + 0j)  +/-  (1.32e-62, 1.32e-62j)
| (1.0379709584894152952 - 1.3120851772591970218e-140j)  +/-  (1.32e-62, 1.32e-62j)
| (0.74196378430272585765 - 1.1456011363123517558e-151j)  +/-  (6.72e-63, 6.72e-63j)
| (4.1402108026390475844e-171 + 1.6560843210556190338e-170j)  +/-  (1.54e-169, 1.54e-169j)
| (-0.74196378430272585765 + 3.6772458879133363613e-186j)  +/-  (8.43e-63, 8.43e-63j)
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The weights are:
| (0.00059220888055192656046 + 2.6527786096182351943e-133j)  +/-  (4.74e-30, 4.65e-61j)
| (0.033742373970539285842 - 3.2028324863850529288e-133j)  +/-  (6.98e-29, 6.85e-60j)
| (0.033742373970539285842 - 1.1647609448259264248e-132j)  +/-  (6.53e-29, 6.41e-60j)
| (0.00059220888055192656046 + 1.2827860451314736594e-134j)  +/-  (1.46e-30, 1.43e-61j)
| (0.37641928537232163666 + 1.2488224203801158376e-131j)  +/-  (1.87e-27, 1.82e-58j)
| (0.37641928537232163666 + 2.065550627341561193e-131j)  +/-  (9.35e-28, 9.09e-59j)
| (-0.17742053489007951573 - 3.1887415690461141267e-131j)  +/-  (1.4e-27, 1.36e-58j)
| (0.53333333333333333333 + 2.2199990592226427864e-131j)  +/-  (4.9e-28, 4.71e-59j)
| (-0.17742053489007951573 - 2.2249366906930763442e-131j)  +/-  (3.51e-28, 3.43e-59j)
