Starting with polynomial:
P : -t+1
Extension levels are: 1 5
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Trying to find an order 5 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Ending with final polynomial:
P : -t^6 + 1831/56*t^5 - 20575/56*t^4 + 12175/7*t^3 - 23925/7*t^2 + 16365/7*t - 2265/7
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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:
| (14.829781217182764814 + 2.0235775904101058455e-102j)  +/-  (7.51e-61, 7.51e-61j)
| (8.9529512477548957267 - 2.4784588255035636946e-118j)  +/-  (1.15e-60, 1.15e-60j)
| (2.5922508199253002476 - 1.938925509735004514e-126j)  +/-  (2.68e-61, 2.68e-61j)
| (5.1384848875831238418 - 4.1919546911218633811e-136j)  +/-  (8.03e-61, 8.03e-61j)
| (1 + 6.0062492855493027733e-145j)  +/-  (2.78e-62, 2.78e-62j)
| (0.18296039898248679851 - 4.8479214752801343831e-154j)  +/-  (1.66e-63, 1.66e-63j)
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The weights are:
| (2.7408656628835386036e-06 - 2.7490111102495913621e-108j)  +/-  (1.41e-30, 8.86e-61j)
| (0.00059921816446888461174 + 1.3397773433968540344e-107j)  +/-  (1.37e-29, 8.6e-60j)
| (0.15215704436523938098 + 8.4157650716036630474e-107j)  +/-  (2.57e-28, 1.62e-58j)
| (0.018233873954883887137 - 4.1856047194230296642e-107j)  +/-  (5.38e-29, 3.39e-59j)
| (0.43424504689243388318 - 9.5615911810607005295e-107j)  +/-  (6.98e-28, 4.14e-58j)
| (0.39476207575731108056 + 4.2665545965081722481e-107j)  +/-  (4.78e-28, 2.81e-58j)
