Starting with polynomial:
P : 65536*t^16 - 245760*t^14 + 372736*t^12 - 292864*t^10 + 126720*t^8 - 29568*t^6 + 3360*t^4 - 144*t^2 + 1
Extension levels are: 16
-------------------------------------------------
Ending with final polynomial:
P : 65536*t^16 - 245760*t^14 + 372736*t^12 - 292864*t^10 + 126720*t^8 - 29568*t^6 + 3360*t^4 - 144*t^2 + 1
-------------------------------------------------
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
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   16 out of 16
Indefinite weights: 0 out of 16
Negative weights:   0 out of 16
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.98297309968390177828 - 3.5439488313497177315e-372j)  +/-  (1.08e-123, 1.08e-123j)
| (-0.85021713572961415213 - 8.2732460000597178134e-374j)  +/-  (2.19e-123, 2.19e-123j)
| (-0.93247222940435580457 - 2.1749913028915470445e-373j)  +/-  (2.23e-123, 2.23e-123j)
| (-0.98297309968390177828 + 6.7763758738701273759e-374j)  +/-  (1.22e-123, 1.22e-123j)
| (0.85021713572961415213 + 6.4736489627152651272e-375j)  +/-  (1.81e-123, 1.81e-123j)
| (0.73900891722065911592 - 5.6670622844984696122e-379j)  +/-  (9.73e-124, 9.73e-124j)
| (0.09226835946330199524 - 6.9057905697009193146e-384j)  +/-  (1.21e-127, 1.21e-127j)
| (-0.73900891722065911592 - 1.3290313849822710923e-391j)  +/-  (7.29e-124, 7.29e-124j)
| (-0.4457383557765382674 - 2.0174125427130839002e-399j)  +/-  (3.36e-125, 3.36e-125j)
| (0.27366299007208286354 - 8.4150439403317761076e-404j)  +/-  (1.96e-126, 1.96e-126j)
| (0.93247222940435580457 + 6.8857515765002872455e-411j)  +/-  (2.43e-123, 2.43e-123j)
| (0.4457383557765382674 - 2.5092025541133926313e-416j)  +/-  (1.97e-125, 1.97e-125j)
| (-0.27366299007208286354 - 2.075753383774235595e-423j)  +/-  (1.72e-126, 1.72e-126j)
| (-0.60263463637925638918 + 2.6986676373445129792e-431j)  +/-  (1.95e-124, 1.95e-124j)
| (-0.09226835946330199524 - 1.5423091437418776055e-437j)  +/-  (1.21e-127, 1.21e-127j)
| (0.60263463637925638918 - 1.0188017717807118329e-439j)  +/-  (1.83e-124, 1.83e-124j)
-------------------------------------------------
The weights are:
| (0.0019861108998718881008 + 3.0726953863406692662e-373j)  +/-  (1.41e-47, 3.65e-108j)
| (0.016301813065395933312 + 1.3767026158969508848e-374j)  +/-  (7.11e-48, 1.84e-108j)
| (0.0076762083170394377669 - 2.1741507838603064621e-374j)  +/-  (4.7e-48, 1.22e-108j)
| (0.0019861108998718881008 - 5.0120679489240133559e-375j)  +/-  (1.96e-48, 5.07e-109j)
| (0.016301813065395933312 + 4.3289644570791349979e-373j)  +/-  (1.48e-49, 3.82e-110j)
| (0.026697989427549941316 - 3.8313969736955002681e-373j)  +/-  (9.83e-50, 2.54e-110j)
| (0.058322738225997111126 - 2.2062230675175526868e-373j)  +/-  (1.8e-50, 4.65e-111j)
| (0.026697989427549941316 + 3.7268554736283574632e-374j)  +/-  (4.82e-50, 1.25e-110j)
| (0.047136312834684011446 + 9.9319866173831059357e-374j)  +/-  (1.58e-50, 4.09e-111j)
| (0.054418151050871004475 + 2.6253840267060152972e-373j)  +/-  (6.74e-51, 1.74e-111j)
| (0.0076762083170394377669 - 5.3847915480311836626e-373j)  +/-  (1.42e-51, 3.64e-112j)
| (0.047136312834684011446 - 3.0352193950456505799e-373j)  +/-  (2.52e-51, 6.55e-112j)
| (0.054418151050871004475 - 1.3780017723227375655e-373j)  +/-  (8.59e-52, 2.25e-112j)
| (0.037460676178590672457 - 6.4702005587934955932e-374j)  +/-  (7.39e-52, 1.92e-112j)
| (0.058322738225997111126 + 1.7865983825727002027e-373j)  +/-  (7.18e-52, 1.9e-112j)
| (0.037460676178590672457 + 3.4329918469778839096e-373j)  +/-  (2.43e-52, 5.52e-113j)
