Starting with polynomial:
P : 1/24*t^4 - 2/3*t^3 + 3*t^2 - 4*t + 1
Extension levels are: 4
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Ending with final polynomial:
P : 1/24*t^4 - 2/3*t^3 + 3*t^2 - 4*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 weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (9.3950709123011331292 + 0j)  +/-  (1.49e-125, 1.49e-125j)
| (4.5366202969211279833 - 2.6015592699123717045e-259j)  +/-  (1.17e-125, 1.17e-125j)
| (1.7457611011583465757 + 5.884263958341352191e-285j)  +/-  (2.11e-126, 2.11e-126j)
| (0.3225476896193923118 + 1.2648080533535911531e-321j)  +/-  (1.68e-127, 1.68e-127j)
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The weights are:
| (0.0005392947055613274501 + 3.5289062346159404627e-262j)  +/-  (1.3e-31, 2.11e-126j)
| (0.038887908515005384272 + 3.9434316603680187084e-261j)  +/-  (9.44e-31, 1.52e-125j)
| (0.35741869243779968664 - 6.8173864495711308278e-261j)  +/-  (3.59e-30, 5.46e-125j)
| (0.60315410434163360164 + 2.5210641657415180732e-261j)  +/-  (5.5e-30, 6.41e-125j)
