Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8
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Ending with final polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
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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:   8 out of 8
Indefinite weights: 0 out of 8
Negative weights:   0 out of 8
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-1.9816567566958429259 + 0j)  +/-  (3.18e-62, 3.18e-62j)
| (-2.9306374202572440192 - 1.0250665447337476733e-143j)  +/-  (1.63e-62, 1.63e-62j)
| (-1.1571937124467801947 + 1.4916681462400413487e-154j)  +/-  (9.57e-63, 9.57e-63j)
| (1.9816567566958429259 - 4.3413256825880419598e-165j)  +/-  (2.66e-62, 2.66e-62j)
| (0.38118699020732211685 + 0j)  +/-  (1.76e-63, 1.76e-63j)
| (1.1571937124467801947 + 5.7456966998645880645e-188j)  +/-  (1.34e-62, 1.34e-62j)
| (2.9306374202572440192 + 1.2274132354447057023e-191j)  +/-  (1.63e-62, 1.63e-62j)
| (-0.38118699020732211685 + 1.3698808431302518998e-194j)  +/-  (1.76e-63, 1.76e-63j)
-------------------------------------------------
The weights are:
| (0.0096352201207882671869 + 1.1251819258858012162e-146j)  +/-  (2.45e-28, 4.63e-59j)
| (0.00011261453837536777039 - 3.38305151680977352e-147j)  +/-  (1.32e-29, 2.49e-60j)
| (0.11723990766175901512 - 2.100243337777473621e-146j)  +/-  (4.87e-28, 8.93e-59j)
| (0.0096352201207882671869 - 2.1736806690087630747e-147j)  +/-  (1.47e-29, 2.76e-60j)
| (0.37301225767907734993 - 2.0060582455351269349e-146j)  +/-  (3.09e-28, 4.85e-59j)
| (0.11723990766175901512 + 9.1115880569376347633e-147j)  +/-  (1.12e-28, 1.83e-59j)
| (0.00011261453837536777039 + 1.9694929653115567296e-148j)  +/-  (8.22e-31, 1.67e-61j)
| (0.37301225767907734993 + 2.6059391406617739555e-146j)  +/-  (2.35e-28, 3.39e-59j)
