Starting with polynomial:
P : 128*t^8 - 256*t^6 + 160*t^4 - 32*t^2 + 1
Extension levels are: 8
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Ending with final polynomial:
P : 128*t^8 - 256*t^6 + 160*t^4 - 32*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:
| (0.98078528040323044913 + 8.0614513290805065021e-138j)  +/-  (2.86e-62, 2.86e-62j)
| (-0.98078528040323044913 - 5.0384070806753165638e-138j)  +/-  (2.68e-62, 2.68e-62j)
| (-0.83146961230254523708 + 5.8941326322190491215e-143j)  +/-  (3.67e-62, 3.67e-62j)
| (-0.19509032201612826785 - 3.1325031071040868322e-153j)  +/-  (1.15e-63, 1.15e-63j)
| (0.55557023301960222474 + 2.4841264815834285506e-170j)  +/-  (6.42e-63, 6.42e-63j)
| (0.83146961230254523708 + 5.2952340785952043603e-184j)  +/-  (2.98e-62, 2.98e-62j)
| (0.19509032201612826785 - 1.4027579833653779454e-191j)  +/-  (6.75e-64, 6.75e-64j)
| (-0.55557023301960222474 - 1.3912852313041620858e-195j)  +/-  (8.13e-63, 8.13e-63j)
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The weights are:
| (0.125 - 1.2662547238903339795e-137j)  +/-  (3.53e-25, 8.57e-56j)
| (0.125 - 7.601032625390819957e-138j)  +/-  (1.51e-25, 3.67e-56j)
| (0.125 + 1.0428156878576635263e-137j)  +/-  (1.22e-25, 2.95e-56j)
| (0.125 - 2.7838417960640782067e-139j)  +/-  (4.92e-26, 1.2e-56j)
| (0.125 - 8.3529650637382532829e-138j)  +/-  (1.07e-26, 2.62e-57j)
| (0.125 + 1.8228904603706295916e-137j)  +/-  (7.55e-27, 1.84e-57j)
| (0.125 + 3.7550758260018532257e-138j)  +/-  (7.64e-27, 1.88e-57j)
| (0.125 - 3.5172082006459635496e-138j)  +/-  (4.63e-27, 1.03e-57j)
