Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2
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Ending with final polynomial:
P : 1/2*t^2 - 2*t + 1
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (3.4142135623730950488 + 1.4035921727504379082e-128j)  +/-  (2.81e-128, 2.81e-128j)
| (0.5857864376269049512 + 6.2528128897032021597e-208j)  +/-  (1.42e-207, 1.42e-207j)
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The weights are:
| (0.1464466094067262378 - 7.2673364249243939152e-130j)  +/-  (5.12e-32, 1.96e-129j)
| (0.8535533905932737622 + 7.2673364249243939152e-130j)  +/-  (1.68e-31, 4.37e-129j)
