Starting with polynomial:
P : t^6 - 15*t^4 + 45*t^2 - 15
Extension levels are: 6
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Ending with final polynomial:
P : t^6 - 15*t^4 + 45*t^2 - 15
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   6 out of 6
Indefinite weights: 0 out of 6
Negative weights:   0 out of 6
Extension rule has valid weights: 1
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The nodes are:
| (3.3242574335521189524 + 5.3743008860536710014e-138j)  +/-  (8.32e-63, 8.32e-63j)
| (-3.3242574335521189524 - 1.6016664761464807395e-145j)  +/-  (8.32e-63, 8.32e-63j)
| (0.61670659019259415219 + 5.8268286962501615182e-157j)  +/-  (1.5e-63, 1.5e-63j)
| (-1.8891758777537106755 + 3.2345396895617559253e-173j)  +/-  (8.19e-63, 8.19e-63j)
| (1.8891758777537106755 + 3.6772458879133363613e-186j)  +/-  (8.19e-63, 8.19e-63j)
| (-0.61670659019259415219 - 6.8494042156512594992e-195j)  +/-  (1.5e-63, 1.5e-63j)
-------------------------------------------------
The weights are:
| (0.0025557844020562464306 - 2.2830259308504289452e-140j)  +/-  (1.97e-31, 9.95e-63j)
| (0.0025557844020562464306 + 2.0659576051908489137e-141j)  +/-  (9.99e-32, 5.11e-63j)
| (0.40882846955602922609 - 6.4162018897222136561e-140j)  +/-  (3.84e-30, 1.45e-61j)
| (0.088615746041914527481 - 1.5513709839419546258e-140j)  +/-  (9.69e-31, 4.75e-62j)
| (0.088615746041914527481 + 5.6358957039825374602e-140j)  +/-  (6.3e-31, 2.84e-62j)
| (0.40882846955602922609 + 4.4081073400129748755e-140j)  +/-  (2.25e-30, 7.38e-62j)
