Starting with polynomial:
P : t^2 - 1
Extension levels are: 2
-------------------------------------------------
Ending with final polynomial:
P : t^2 - 1
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (1 - 2.6339926109233509817e-68j)  +/-  (1.85e-67, 1.85e-67j)
| (-1 + 1.4373637718811461119e-109j)  +/-  (4.48e-109, 4.48e-109j)
-------------------------------------------------
The weights are:
| (0.5 + 6.5849815273083774543e-69j)  +/-  (6.78e-32, 1.39e-67j)
| (0.5 - 6.5849815273083774543e-69j)  +/-  (5.55e-32, 1.39e-67j)
