Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3
-------------------------------------------------
Ending with final polynomial:
P : 8*t^3 - 12*t
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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
Positive weights:   3 out of 3
Indefinite weights: 0 out of 3
Negative weights:   0 out of 3
Extension rule has valid weights: 1
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The nodes are:
| (1.2247448713915890491 + 2.1324311667380366773e-259j)  +/-  (3.92e-255, 3.92e-255j)
| (2.4315892877501766437e-343 + 3.98420540655388587e-343j)  +/-  (1.4e-342, 1.4e-342j)
| (-1.2247448713915890491 + 0j)  +/-  (3.92e-255, 3.92e-255j)
-------------------------------------------------
The weights are:
| (0.16666666666666666667 - 4.3528068917633215232e-260j)  +/-  (1.46e-31, 5.33e-255j)
| (0.66666666666666666667 + 5.8037425223510953643e-260j)  +/-  (1.53e-31, 4.26e-255j)
| (0.16666666666666666667 - 1.4509356305877738411e-260j)  +/-  (1.09e-31, 3.2e-255j)
