Starting with polynomial:
P : 1879204156221315/33554432*t^29 - 6692604275665385/16777216*t^27 + 42710983650155457/33554432*t^25 - 20146690401016725/8388608*t^23 + 99943385714847675/33554432*t^21 - 42832879592077575/16777216*t^19 + 51946258228689825/33554432*t^17 - 2803448856786435/4194304*t^15 + 6845630929362225/33554432*t^13 - 723521968143975/16777216*t^11 + 204070298707275/33554432*t^9 - 4512611027925/8388608*t^7 + 902522205585/33554432*t^5 - 10518906825/16777216*t^3 + 145422675/33554432*t
Extension levels are: 29
-------------------------------------------------
Ending with final polynomial:
P : 1879204156221315/33554432*t^29 - 6692604275665385/16777216*t^27 + 42710983650155457/33554432*t^25 - 20146690401016725/8388608*t^23 + 99943385714847675/33554432*t^21 - 42832879592077575/16777216*t^19 + 51946258228689825/33554432*t^17 - 2803448856786435/4194304*t^15 + 6845630929362225/33554432*t^13 - 723521968143975/16777216*t^11 + 204070298707275/33554432*t^9 - 4512611027925/8388608*t^7 + 902522205585/33554432*t^5 - 10518906825/16777216*t^3 + 145422675/33554432*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: 0
  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
-------------------------------------------------
The nodes are:
| (-0.98254550526141317487 - 9.5900384380273397102e-339j)  +/-  (1.6e-118, 1.6e-118j)
| (-0.9572855957780877258 - 3.6568323968147129427e-353j)  +/-  (1.77e-118, 1.77e-118j)
| (-0.99667944226059658616 + 3.1047409267236299961e-365j)  +/-  (6.14e-119, 6.14e-119j)
| (-2.0207775592400640278e-386 - 6.0954452049790547309e-387j)  +/-  (6.12e-385, 6.12e-385j)
| (0.92118023295305878509 - 3.5696623401607375632e-373j)  +/-  (1.55e-118, 1.55e-118j)
| (0.9572855957780877258 + 5.6650740901469913992e-374j)  +/-  (1.72e-118, 1.72e-118j)
| (0.99667944226059658616 - 7.5876627997715762023e-374j)  +/-  (7.32e-119, 7.32e-119j)
| (-0.87463780492010279042 - 1.7727216619142210906e-372j)  +/-  (8e-119, 8e-119j)
| (-0.92118023295305878509 + 8.4413941940398027008e-377j)  +/-  (1.48e-118, 1.48e-118j)
| (0.98254550526141317487 + 2.8005557928929759515e-380j)  +/-  (1.51e-118, 1.51e-118j)
| (0.87463780492010279042 - 1.6860304803834844138e-380j)  +/-  (7.41e-119, 7.41e-119j)
| (0.81818548761525244499 - 7.1965856492002140561e-383j)  +/-  (2.84e-119, 2.84e-119j)
| (-0.67821453760268651516 - 3.4256475545623763034e-382j)  +/-  (1.58e-120, 1.58e-120j)
| (-0.81818548761525244499 + 5.7545481044168104845e-386j)  +/-  (2.85e-119, 2.85e-119j)
| (-0.21135228616600107451 + 7.3137965355459651548e-398j)  +/-  (1.31e-125, 1.31e-125j)
| (0.75246285173447713391 + 3.3618915067981077203e-393j)  +/-  (9.34e-120, 9.34e-120j)
| (0.5075929551242276421 - 2.5477839499430247275e-396j)  +/-  (2.68e-122, 2.68e-122j)
| (0.10627823013267923017 + 3.4563137341294190821e-401j)  +/-  (5.81e-127, 5.81e-127j)
| (-0.75246285173447713391 - 9.9544315060853143461e-396j)  +/-  (8.23e-120, 8.23e-120j)
| (-0.41315288817400866389 + 3.4494714880459537465e-402j)  +/-  (2.37e-123, 2.37e-123j)
| (0.41315288817400866389 - 4.0932998862475733957e-403j)  +/-  (2.25e-123, 2.25e-123j)
| (0.67821453760268651516 + 2.7974992370225248757e-400j)  +/-  (1.69e-120, 1.69e-120j)
| (-0.10627823013267923017 - 1.2976371656693173014e-407j)  +/-  (5.81e-127, 5.81e-127j)
| (-0.5075929551242276421 + 6.5878304369298824245e-402j)  +/-  (2.47e-122, 2.47e-122j)
| (-0.59628179713822782038 - 1.0504829260576371378e-405j)  +/-  (2.11e-121, 2.11e-121j)
| (0.21135228616600107451 - 1.6600882617658716496e-411j)  +/-  (1.19e-125, 1.19e-125j)
| (0.59628179713822782038 + 7.3365703303079275514e-408j)  +/-  (2.55e-121, 2.55e-121j)
| (0.31403163786763993495 + 5.6963592555718987419e-412j)  +/-  (1.78e-124, 1.78e-124j)
| (-0.31403163786763993495 + 1.798029044547262164e-412j)  +/-  (1.54e-124, 1.54e-124j)
-------------------------------------------------
The weights are:
| (0.019732085056122705984 - 5.3729840815595385748e-339j)  +/-  (2.93e-28, 5.19e-85j)
| (0.030740492202093622644 + 1.4533811037304538244e-338j)  +/-  (1.52e-28, 2.7e-85j)
| (0.0085169038787464096543 - 3.8501622137125895412e-339j)  +/-  (1.15e-28, 2.03e-85j)
| (0.10647938171831424425 + 2.4050366634030320705e-339j)  +/-  (1.39e-29, 2.46e-86j)
| (0.041402062518682836105 - 3.0119645036019791609e-340j)  +/-  (3.26e-30, 5.77e-87j)
| (0.030740492202093622644 + 1.8925500836301543067e-340j)  +/-  (2.25e-30, 3.98e-87j)
| (0.0085169038787464096543 + 2.7494575709234798667e-341j)  +/-  (3.32e-31, 5.88e-88j)
| (0.051594826902497923913 + 7.3898264034798790037e-339j)  +/-  (1.14e-30, 2.03e-87j)
| (0.041402062518682836105 - 9.3439727917818094841e-339j)  +/-  (4.06e-30, 7.19e-87j)
| (0.019732085056122705984 - 9.6296534428853071064e-341j)  +/-  (4.46e-31, 7.91e-88j)
| (0.051594826902497923913 + 4.2937020204164628008e-340j)  +/-  (4.7e-32, 8.33e-89j)
| (0.061203090657079138542 - 5.7202211320322454749e-340j)  +/-  (1.02e-32, 1.81e-89j)
| (0.078238327135763783828 - 4.8911636587683421216e-339j)  +/-  (2.67e-34, 4.73e-91j)
| (0.061203090657079138542 - 6.2670834586632295596e-339j)  +/-  (2.74e-33, 4.86e-90j)
| (0.10407331007772937391 + 2.9609075799527906855e-339j)  +/-  (1.37e-35, 2.43e-92j)
| (0.07011793325505127857 + 7.2794605806997303519e-340j)  +/-  (2.83e-34, 5.01e-91j)
| (0.091737757139258763348 - 1.2682159995324176532e-339j)  +/-  (1.02e-35, 1.81e-92j)
| (0.10587615509732094141 - 2.1518721606710412413e-339j)  +/-  (7.89e-36, 1.4e-92j)
| (0.07011793325505127857 + 5.4892990620249364828e-339j)  +/-  (8.59e-35, 1.52e-91j)
| (0.096963834094408606302 + 3.606548139938559729e-339j)  +/-  (2.3e-36, 4.07e-93j)
| (0.096963834094408606302 + 1.4713364246244249164e-339j)  +/-  (1.07e-36, 1.89e-93j)
| (0.078238327135763783828 - 8.9629599149259802558e-340j)  +/-  (3.43e-36, 6.08e-93j)
| (0.10587615509732094141 - 2.6738525454213545491e-339j)  +/-  (1.43e-36, 2.54e-93j)
| (0.091737757139258763348 - 3.9789605012833753066e-339j)  +/-  (4.61e-37, 8.17e-94j)
| (0.085472257366172527545 + 4.4001171780683774493e-339j)  +/-  (6.22e-37, 1.1e-93j)
| (0.10407331007772937391 + 1.9125857040892478128e-339j)  +/-  (5.62e-38, 1e-94j)
| (0.085472257366172527545 + 1.0764987245875515037e-339j)  +/-  (3.19e-38, 5.68e-95j)
| (0.10109127375991496612 - 1.6859901815022269565e-339j)  +/-  (2.92e-38, 5.2e-95j)
| (0.10109127375991496612 - 3.2699640792764088942e-339j)  +/-  (2.32e-38, 3.91e-95j)
