Starting with polynomial:
P : 256*t^8 - 448*t^6 + 240*t^4 - 40*t^2 + 1
Extension levels are: 8
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Ending with final polynomial:
P : 256*t^8 - 448*t^6 + 240*t^4 - 40*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:
| (0.93969262078590838405 + 1.9551592726397469965e-149j)  +/-  (1.19e-62, 1.19e-62j)
| (-0.7660444431189780352 + 6.1098727269992093641e-151j)  +/-  (2.66e-62, 2.66e-62j)
| (-0.93969262078590838405 + 4.6614629570001292146e-156j)  +/-  (1.18e-62, 1.18e-62j)
| (-0.17364817766693034885 - 4.1402108026390475844e-171j)  +/-  (8.09e-64, 8.09e-64j)
| (0.5 - 3.6665317535510399891e-198j)  +/-  (7.39e-63, 7.39e-63j)
| (0.7660444431189780352 - 8.3610891304336663809e-198j)  +/-  (2.66e-62, 2.66e-62j)
| (0.17364817766693034885 + 1.4585050254609393207e-210j)  +/-  (8.09e-64, 8.09e-64j)
| (-0.5 + 1.5208732530361278588e-209j)  +/-  (7.8e-63, 7.8e-63j)
-------------------------------------------------
The weights are:
| (0.0129975309378345536 - 3.057425610595851469e-150j)  +/-  (3.09e-26, 3.86e-57j)
| (0.045908434574059425064 - 4.482081694781318646e-151j)  +/-  (1.32e-26, 1.65e-57j)
| (0.0129975309378345536 + 1.8094872516765392053e-151j)  +/-  (7.86e-27, 9.85e-58j)
| (0.107760701154772688 - 1.7812646099703475123e-150j)  +/-  (3.37e-27, 4.19e-58j)
| (0.083333333333333333333 - 3.6653258023963146606e-150j)  +/-  (2.33e-27, 2.96e-58j)
| (0.045908434574059425064 + 5.1506667104827076858e-150j)  +/-  (1.48e-27, 1.9e-58j)
| (0.107760701154772688 + 2.6802884680286993266e-150j)  +/-  (1.63e-27, 2.04e-58j)
| (0.083333333333333333333 + 9.4032028876158457357e-151j)  +/-  (1.05e-27, 1.19e-58j)
