Starting with polynomial:
P : 131072*t^17 - 524288*t^15 + 860160*t^13 - 745472*t^11 + 366080*t^9 - 101376*t^7 + 14784*t^5 - 960*t^3 + 18*t
Extension levels are: 17
-------------------------------------------------
Ending with final polynomial:
P : 131072*t^17 - 524288*t^15 + 860160*t^13 - 745472*t^11 + 366080*t^9 - 101376*t^7 + 14784*t^5 - 960*t^3 + 18*t
-------------------------------------------------
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:   17 out of 17
Indefinite weights: 0 out of 17
Negative weights:   0 out of 17
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.98480775301220805937 - 1.8922681646092322768e-441j)  +/-  (2.01e-123, 2.01e-123j)
| (-0.93969262078590838405 - 1.7053070564636105246e-443j)  +/-  (5.37e-123, 5.37e-123j)
| (-0.86602540378443864676 + 1.0577324810197837461e-451j)  +/-  (4.24e-123, 4.24e-123j)
| (-0.98480775301220805937 - 1.6643485529900681614e-458j)  +/-  (2.41e-123, 2.41e-123j)
| (0.93969262078590838405 - 9.479269054421447141e-458j)  +/-  (6.15e-123, 6.15e-123j)
| (0.7660444431189780352 + 1.7989109841410842727e-462j)  +/-  (2.3e-123, 2.3e-123j)
| (-0.17364817766693034885 + 6.9276306688972696522e-475j)  +/-  (5.48e-127, 5.48e-127j)
| (-0.7660444431189780352 - 4.3755957494371049535e-486j)  +/-  (1.77e-123, 1.77e-123j)
| (-0.34202014332566873304 + 1.1168626145721226602e-491j)  +/-  (6.74e-126, 6.74e-126j)
| (0.34202014332566873304 + 9.4685940237806587132e-495j)  +/-  (8.07e-126, 8.07e-126j)
| (0.86602540378443864676 + 3.1386191835789390232e-493j)  +/-  (5.46e-123, 5.46e-123j)
| (0.17364817766693034885 - 2.9214807510082728624e-496j)  +/-  (5.48e-127, 5.48e-127j)
| (-0.5 + 5.6938247475997572231e-499j)  +/-  (7.09e-125, 7.09e-125j)
| (-0.64278760968653932632 - 1.4883232682221327391e-505j)  +/-  (5.98e-124, 5.98e-124j)
| (8.6973890986730881939e-505 + 9.9996719583674543406e-505j)  +/-  (2.25e-503, 2.25e-503j)
| (0.64278760968653932632 - 4.5207819272247281949e-504j)  +/-  (5.48e-124, 5.48e-124j)
| (0.5 - 3.0289476913318932201e-508j)  +/-  (8.09e-125, 8.09e-125j)
-------------------------------------------------
The weights are:
| (0.0016752049781692115541 + 1.5530820732851495016e-442j)  +/-  (4e-47, 4.08e-107j)
| (0.0064987654689172767999 - 7.7253088972317715409e-444j)  +/-  (1.93e-47, 1.97e-107j)
| (0.013888888888888888889 + 1.7414932447103859153e-443j)  +/-  (1.11e-47, 1.13e-107j)
| (0.0016752049781692115541 + 9.7620842338189654836e-445j)  +/-  (7.75e-48, 7.91e-108j)
| (0.0064987654689172767999 - 2.7263728943860725255e-442j)  +/-  (7.03e-49, 7.17e-109j)
| (0.022954217287029712532 - 1.9877984742401752959e-442j)  +/-  (1.88e-49, 1.91e-109j)
| (0.053880350577386344002 - 8.9209757033708165963e-443j)  +/-  (2.64e-49, 2.7e-109j)
| (0.022954217287029712532 - 2.7062437145308866571e-443j)  +/-  (3.92e-49, 4e-109j)
| (0.049056790086638278756 + 7.1362516852728649258e-443j)  +/-  (1.93e-49, 1.97e-109j)
| (0.049056790086638278756 + 1.450683642507080764e-442j)  +/-  (1.79e-50, 1.83e-110j)
| (0.013888888888888888889 + 2.2138880585304924781e-442j)  +/-  (2.15e-50, 2.2e-110j)
| (0.053880350577386344002 - 1.2651704359675156953e-442j)  +/-  (1.63e-50, 1.66e-110j)
| (0.041666666666666666667 - 5.4716821445463737832e-443j)  +/-  (1.37e-50, 1.4e-110j)
| (0.032601338268525843024 + 3.9775326824827359806e-443j)  +/-  (8.79e-51, 8.98e-111j)
| (0.055555555555555555556 + 1.0775594166321640068e-442j)  +/-  (8.96e-51, 9.14e-111j)
| (0.032601338268525843024 + 1.8072219833061217534e-442j)  +/-  (6.43e-52, 6.6e-112j)
| (0.041666666666666666667 - 1.6312399699305372157e-442j)  +/-  (8.59e-52, 8.7e-112j)
