Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4
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Ending with final polynomial:
P : 16*t^4 - 48*t^2 + 12
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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:   4 out of 4
Indefinite weights: 0 out of 4
Negative weights:   0 out of 4
Extension rule has valid weights: 1
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The nodes are:
| (1.6506801238857845559 - 1.7362464340324407525e-63j)  +/-  (8.65e-63, 8.65e-63j)
| (-0.52464762327529031788 - 6.788658728877023275e-77j)  +/-  (1.01e-63, 1.01e-63j)
| (-1.6506801238857845559 - 2.6028904508071622781e-96j)  +/-  (1.11e-63, 1.11e-63j)
| (0.52464762327529031788 - 1.0151767349262596893e-115j)  +/-  (1.01e-63, 1.01e-63j)
-------------------------------------------------
The weights are:
| (0.045875854768068491817 + 1.3147962534567034171e-64j)  +/-  (1.68e-31, 4.7e-63j)
| (0.45412414523193150818 + 1.1520359947785274145e-64j)  +/-  (9.03e-31, 1.66e-62j)
| (0.045875854768068491817 - 2.4126960789281647132e-65j)  +/-  (1.02e-31, 2.85e-63j)
| (0.45412414523193150818 - 2.2255626403424143602e-64j)  +/-  (6.23e-31, 1.04e-62j)
