Starting with polynomial:
P : 121683714103007/8388608*t^27 - 805867616040669/8388608*t^25 + 1185099435353925/4194304*t^23 - 2039660932956075/4194304*t^21 + 4556689318306125/8388608*t^19 - 3463083881912655/8388608*t^17 + 456375395290815/2097152*t^15 - 166966608033225/2097152*t^13 + 166966608033225/8388608*t^11 - 27577067392875/8388608*t^9 + 1418249180205/4194304*t^7 - 82047473235/4194304*t^5 + 4411154475/8388608*t^3 - 35102025/8388608*t
Extension levels are: 27
-------------------------------------------------
Ending with final polynomial:
P : 121683714103007/8388608*t^27 - 805867616040669/8388608*t^25 + 1185099435353925/4194304*t^23 - 2039660932956075/4194304*t^21 + 4556689318306125/8388608*t^19 - 3463083881912655/8388608*t^17 + 456375395290815/2097152*t^15 - 166966608033225/2097152*t^13 + 166966608033225/8388608*t^11 - 27577067392875/8388608*t^9 + 1418249180205/4194304*t^7 - 82047473235/4194304*t^5 + 4411154475/8388608*t^3 - 35102025/8388608*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:
| (0.99617926288898856694 + 1.7232496483068388772e-420j)  +/-  (1.46e-119, 1.46e-119j)
| (0.5405515645794568949 + 3.3358259468446930604e-432j)  +/-  (2.41e-122, 2.41e-122j)
| (-0.9094823206774911043 + 5.5907876700530611447e-427j)  +/-  (2.49e-119, 2.49e-119j)
| (-0.97992347596150122286 - 1.8649491542867093297e-435j)  +/-  (4.46e-119, 4.46e-119j)
| (0.95090055781470500685 + 1.9244098143406100962e-443j)  +/-  (4.18e-119, 4.18e-119j)
| (0.63290797194649514093 - 1.9247710164803436848e-456j)  +/-  (1.61e-121, 1.61e-121j)
| (-0.33599390363850889973 - 2.2591686799316330715e-458j)  +/-  (1.55e-124, 1.55e-124j)
| (-0.95090055781470500685 + 1.6213084230710936501e-453j)  +/-  (3.9e-119, 3.9e-119j)
| (-0.44114825175002688059 + 2.8063863613268285127e-462j)  +/-  (2.32e-123, 2.32e-123j)
| (0.11397258560952996693 + 8.5890149515187734944e-463j)  +/-  (5.82e-127, 5.82e-127j)
| (0.9094823206774911043 + 4.5983896013672765765e-454j)  +/-  (2.98e-119, 2.98e-119j)
| (0.97992347596150122286 + 6.6748959519889094872e-462j)  +/-  (3.4e-119, 3.4e-119j)
| (-0.8562079080182944903 - 4.8750073604556396946e-464j)  +/-  (1.34e-119, 1.34e-119j)
| (-0.79177163907050822714 - 1.1648753116664853768e-470j)  +/-  (3.98e-120, 3.98e-120j)
| (0.44114825175002688059 + 1.7853394867414573974e-478j)  +/-  (2.08e-123, 2.08e-123j)
| (0.8562079080182944903 + 5.1444805146350792949e-473j)  +/-  (1.08e-119, 1.08e-119j)
| (-8.5778149520023961484e-480 + 2.791033634383028122e-480j)  +/-  (2.44e-478, 2.44e-478j)
| (0.33599390363850889973 - 1.0768064533076554796e-479j)  +/-  (1.6e-124, 1.6e-124j)
| (-0.71701347373942369929 + 6.9522067510488760239e-474j)  +/-  (9.46e-121, 9.46e-121j)
| (0.22645936543953685886 + 5.3061069386525716479e-484j)  +/-  (8.64e-126, 8.64e-126j)
| (-0.99617926288898856694 + 1.2046999928978954862e-479j)  +/-  (1.33e-119, 1.33e-119j)
| (0.79177163907050822714 + 7.2237468189829777557e-485j)  +/-  (4.22e-120, 4.22e-120j)
| (-0.11397258560952996693 - 6.4547733346387209229e-495j)  +/-  (4.7e-127, 4.7e-127j)
| (-0.5405515645794568949 - 1.4107380488763768686e-489j)  +/-  (2.09e-122, 2.09e-122j)
| (-0.63290797194649514093 - 2.4849296654187983881e-489j)  +/-  (1.64e-121, 1.64e-121j)
| (-0.22645936543953685886 - 1.0791028348079543722e-493j)  +/-  (7.04e-126, 7.04e-126j)
| (0.71701347373942369929 - 3.8009231646589176728e-490j)  +/-  (1.03e-120, 1.03e-120j)
-------------------------------------------------
The weights are:
| (0.0097989960512943602612 - 2.2055686598769938771e-420j)  +/-  (2.09e-37, 1.61e-94j)
| (0.096088727370028507566 - 1.1180166554142405227e-420j)  +/-  (7.71e-38, 5.94e-95j)
| (0.047449412520615062704 + 9.2824039051027276553e-422j)  +/-  (3.78e-38, 2.91e-95j)
| (0.022686231596180623196 + 2.9682736670026503166e-422j)  +/-  (1.82e-38, 1.4e-95j)
| (0.035297053757419711023 - 2.5083995778367768592e-420j)  +/-  (1.63e-38, 1.25e-95j)
| (0.088423158543756950194 + 1.2379010266777915434e-420j)  +/-  (3.37e-38, 2.59e-95j)
| (0.10757828578853318721 - 4.5295566204593656779e-421j)  +/-  (6.66e-39, 5.12e-96j)
| (0.035297053757419711023 - 5.8331601175457225284e-422j)  +/-  (6.41e-39, 4.94e-96j)
| (0.10250163781774579867 + 3.9046143064350212785e-421j)  +/-  (4.99e-39, 3.84e-96j)
| (0.11347634610896514862 - 7.4098405087982072437e-421j)  +/-  (1.39e-39, 1.07e-96j)
| (0.047449412520615062704 + 2.0403365562264084074e-420j)  +/-  (1.91e-39, 1.47e-96j)
| (0.022686231596180623196 + 3.6083386390276901601e-420j)  +/-  (3.81e-39, 2.93e-96j)
| (0.05898353685983359911 - 1.3230685846183058645e-421j)  +/-  (1.68e-40, 1.3e-97j)
| (0.069748823766245592984 + 1.7623442898049530653e-421j)  +/-  (6.4e-41, 4.93e-98j)
| (0.10250163781774579867 + 1.0111520305892821935e-420j)  +/-  (1.54e-40, 1.19e-97j)
| (0.05898353685983359911 - 1.7509457731549936462e-420j)  +/-  (6.75e-41, 5.2e-98j)
| (0.11422086737895698905 + 6.6267554356066379634e-421j)  +/-  (1.84e-41, 1.42e-98j)
| (0.10757828578853318721 - 9.1400878239508473048e-421j)  +/-  (4.56e-41, 3.51e-98j)
| (0.079604867773057771263 - 2.2423300664486758933e-421j)  +/-  (1.23e-42, 9.48e-100j)
| (0.11125248835684519267 + 8.2443417736364079117e-421j)  +/-  (1.08e-41, 8.32e-99j)
| (0.0097989960512943602612 - 8.4754114708150322996e-423j)  +/-  (1.83e-43, 1.41e-100j)
| (0.069748823766245592984 + 1.5415168391289999794e-420j)  +/-  (2.54e-42, 1.95e-99j)
| (0.11347634610896514862 - 5.8883938321795783727e-421j)  +/-  (1.05e-42, 8.08e-100j)
| (0.096088727370028507566 - 3.3148267769198328198e-421j)  +/-  (1.82e-43, 1.4e-100j)
| (0.088423158543756950194 + 2.7604064150600283002e-421j)  +/-  (1.65e-43, 1.27e-100j)
| (0.11125248835684519267 + 5.1902784814562395501e-421j)  +/-  (1.68e-43, 1.31e-100j)
| (0.079604867773057771263 - 1.37607783730439639e-420j)  +/-  (5.96e-44, 4.17e-101j)
