Starting with polynomial:
P : 4*t^2 - 1
Extension levels are: 2
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Ending with final polynomial:
P : 4*t^2 - 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
Positive weights:   2 out of 2
Indefinite weights: 0 out of 2
Negative weights:   0 out of 2
Extension rule has valid weights: 1
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The nodes are:
| (0.5 + 3.433096697485088613e-52j)  +/-  (6.99e-52, 6.99e-52j)
| (-0.5 + 4.3868543705008816023e-84j)  +/-  (1.1e-83, 1.1e-83j)
-------------------------------------------------
The weights are:
| (0.25 - 8.5827417437127215324e-53j)  +/-  (4.78e-32, 5.24e-52j)
| (0.25 + 8.5827417437127215324e-53j)  +/-  (4.78e-32, 5.24e-52j)
