Starting with polynomial:
P : 6435/128*t^8 - 3003/32*t^6 + 3465/64*t^4 - 315/32*t^2 + 35/128
Extension levels are: 8
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Ending with final polynomial:
P : 6435/128*t^8 - 3003/32*t^6 + 3465/64*t^4 - 315/32*t^2 + 35/128
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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:
| (0.96028985649753623168 - 4.9529556965870631949e-134j)  +/-  (1.89e-62, 1.89e-62j)
| (-0.79666647741362673959 - 9.1845962408143791528e-141j)  +/-  (2.26e-62, 2.26e-62j)
| (-0.96028985649753623168 - 3.341336647577692621e-152j)  +/-  (1.89e-62, 1.89e-62j)
| (0.18343464249564980494 + 1.5194639889058146859e-164j)  +/-  (1.35e-63, 1.35e-63j)
| (0.79666647741362673959 + 8.6865079553660437447e-176j)  +/-  (2.58e-62, 2.58e-62j)
| (0.52553240991632898582 + 2.3534373682645352712e-184j)  +/-  (9.98e-63, 9.98e-63j)
| (-0.18343464249564980494 + 8.9776510935384188508e-189j)  +/-  (8.45e-64, 8.45e-64j)
| (-0.52553240991632898582 - 2.1918093490084030398e-193j)  +/-  (8.39e-63, 8.39e-63j)
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The weights are:
| (0.10122853629037625915 + 6.1851180105998157557e-134j)  +/-  (1.68e-24, 2.23e-55j)
| (0.22238103445337447054 + 9.1628582046023694776e-135j)  +/-  (7.03e-25, 9.3e-56j)
| (0.10122853629037625915 - 2.6105722076478128237e-135j)  +/-  (4.73e-25, 6.26e-56j)
| (0.36268378337836198297 - 4.3042412190382389396e-134j)  +/-  (2.62e-25, 3.46e-56j)
| (0.22238103445337447054 - 9.8389053357252791563e-134j)  +/-  (9.18e-26, 1.21e-56j)
| (0.31370664587788728734 + 6.1906158430203434462e-134j)  +/-  (1.04e-25, 1.38e-56j)
| (0.36268378337836198297 + 2.9235814930160041358e-134j)  +/-  (2.98e-26, 3.98e-57j)
| (0.31370664587788728734 - 1.8113973915681009073e-134j)  +/-  (1.93e-26, 2.49e-57j)
