Starting with polynomial:
P : 16*t^4 - 12*t^2 + 1
Extension levels are: 4
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Ending with final polynomial:
P : 16*t^4 - 12*t^2 + 1
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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
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The nodes are:
| (0.8090169943749474241 + 4.0761538771797797299e-64j)  +/-  (2.76e-63, 2.76e-63j)
| (-0.3090169943749474241 + 2.1125910064389710154e-76j)  +/-  (6.55e-64, 6.55e-64j)
| (-0.8090169943749474241 + 1.3520862912410077395e-92j)  +/-  (7.6e-64, 7.6e-64j)
| (0.3090169943749474241 - 2.8424948577935271301e-114j)  +/-  (6.55e-64, 6.55e-64j)
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The weights are:
| (0.06909830056250525759 - 9.8930332749760163204e-65j)  +/-  (2.38e-30, 1.09e-61j)
| (0.18090169943749474241 - 6.5953555166495895028e-65j)  +/-  (1.09e-30, 5.15e-62j)
| (0.06909830056250525759 + 1.7407255206206820426e-65j)  +/-  (4.63e-31, 2.32e-62j)
| (0.18090169943749474241 + 1.4747663271004923781e-64j)  +/-  (8.31e-31, 3.42e-62j)
