Starting with polynomial:
P : 2147483648*t^32 - 17179869184*t^30 + 62277025792*t^28 - 135291469824*t^26 + 196293427200*t^24 - 200655503360*t^22 + 148562247680*t^20 - 80648077312*t^18 + 32133218304*t^16 - 9313976320*t^14 + 1926299648*t^12 - 275185664*t^10 + 25798656*t^8 - 1462272*t^6 + 43520*t^4 - 512*t^2 + 1
Extension levels are: 32
-------------------------------------------------
Ending with final polynomial:
P : 2147483648*t^32 - 17179869184*t^30 + 62277025792*t^28 - 135291469824*t^26 + 196293427200*t^24 - 200655503360*t^22 + 148562247680*t^20 - 80648077312*t^18 + 32133218304*t^16 - 9313976320*t^14 + 1926299648*t^12 - 275185664*t^10 + 25798656*t^8 - 1462272*t^6 + 43520*t^4 - 512*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: 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:
| (-0.99879545620517239271 - 1.2554642176155441028e-455j)  +/-  (1.53e-117, 1.53e-117j)
| (-0.98917650996478097345 + 1.2960727114255650881e-472j)  +/-  (3.97e-117, 3.97e-117j)
| (-0.90398929312344333159 + 2.3902225492714936007e-481j)  +/-  (1.54e-117, 1.54e-117j)
| (0.99879545620517239271 + 4.9805069114247331887e-484j)  +/-  (1.77e-117, 1.77e-117j)
| (0.90398929312344333159 - 2.5463750168645128846e-485j)  +/-  (1.53e-117, 1.53e-117j)
| (0.94154406518302077841 + 2.7702487009384958043e-486j)  +/-  (2.73e-117, 2.73e-117j)
| (0.33688985339222005069 + 1.0799420978223349146e-496j)  +/-  (8.25e-124, 8.25e-124j)
| (-0.94154406518302077841 - 1.5165611424224432006e-488j)  +/-  (2.92e-117, 2.92e-117j)
| (-0.9700312531945439926 + 1.7697272897563024614e-495j)  +/-  (5.19e-117, 5.19e-117j)
| (0.9700312531945439926 + 4.8721811675095093605e-502j)  +/-  (4.26e-117, 4.26e-117j)
| (0.8577286100002720699 + 5.2141042380895836334e-505j)  +/-  (5.92e-118, 5.92e-118j)
| (0.98917650996478097345 + 2.266329090232011466e-505j)  +/-  (4.38e-117, 4.38e-117j)
| (-0.8577286100002720699 + 7.1095802906308211954e-507j)  +/-  (6.16e-118, 6.16e-118j)
| (-0.80320753148064490981 - 2.6107480454551001674e-512j)  +/-  (1.84e-118, 1.84e-118j)
| (-0.24298017990326388995 + 7.015159078403883233e-522j)  +/-  (4.73e-125, 4.73e-125j)
| (0.80320753148064490981 + 1.3613550542126193188e-516j)  +/-  (1.95e-118, 1.95e-118j)
| (0.67155895484701840063 + 2.4188153611478764561e-517j)  +/-  (8.81e-120, 8.81e-120j)
| (-0.33688985339222005069 - 8.5422172873496528097e-521j)  +/-  (7.7e-124, 7.7e-124j)
| (-0.74095112535495909118 - 3.9178643208469461673e-519j)  +/-  (4.1e-119, 4.1e-119j)
| (-0.42755509343028209432 + 4.6461940885465679987e-522j)  +/-  (1.31e-122, 1.31e-122j)
| (0.42755509343028209432 - 3.9273437697676062881e-523j)  +/-  (1.3e-122, 1.3e-122j)
| (0.74095112535495909118 + 1.7447008269852235839e-520j)  +/-  (5.22e-119, 5.22e-119j)
| (0.14673047445536175166 + 1.1570648015827626399e-527j)  +/-  (2.35e-126, 2.35e-126j)
| (-0.51410274419322172659 - 5.0939964376843805594e-522j)  +/-  (1.31e-121, 1.31e-121j)
| (-0.59569930449243334347 - 7.1575989699141537931e-522j)  +/-  (1.4e-120, 1.4e-120j)
| (0.049067674327418014255 + 1.3835475285962153465e-528j)  +/-  (1.34e-127, 1.34e-127j)
| (0.59569930449243334347 + 9.2526356421465466804e-524j)  +/-  (1.23e-120, 1.23e-120j)
| (0.51410274419322172659 - 2.3400921451153029538e-525j)  +/-  (1.54e-121, 1.54e-121j)
| (-0.049067674327418014255 - 3.7277981815292101371e-530j)  +/-  (1.34e-127, 1.34e-127j)
| (-0.67155895484701840063 + 6.0769140444609044977e-526j)  +/-  (9.08e-120, 9.08e-120j)
| (-0.14673047445536175166 - 2.6571797134837070018e-533j)  +/-  (2.35e-126, 2.35e-126j)
| (0.24298017990326388995 + 1.1932294870110714013e-532j)  +/-  (4.21e-125, 4.21e-125j)
-------------------------------------------------
The weights are:
| (0.03125 - 8.137855518646911962e-455j)  +/-  (7.24e-23, 1.43e-78j)
| (0.03125 + 1.2196963134977940687e-454j)  +/-  (5.61e-23, 1.11e-78j)
| (0.03125 - 3.6059059969928316951e-455j)  +/-  (8.18e-24, 1.61e-79j)
| (0.03125 + 1.9640285984854572872e-457j)  +/-  (4.97e-25, 9.79e-81j)
| (0.03125 + 1.796641013277570548e-456j)  +/-  (5.5e-25, 1.08e-80j)
| (0.03125 - 1.388254494306824213e-456j)  +/-  (5.09e-25, 1e-80j)
| (0.03125 + 5.636316697945741587e-456j)  +/-  (8.65e-26, 1.7e-81j)
| (0.03125 + 4.7050124249488981525e-455j)  +/-  (2.22e-24, 4.38e-80j)
| (0.03125 - 6.7542540345718816784e-455j)  +/-  (4e-24, 7.89e-80j)
| (0.03125 + 9.8678432849489624735e-457j)  +/-  (8.19e-26, 1.61e-81j)
| (0.03125 - 2.2141560477179119993e-456j)  +/-  (6.93e-27, 1.37e-82j)
| (0.03125 - 5.9015888899792892109e-457j)  +/-  (6.92e-26, 1.36e-81j)
| (0.03125 + 2.913961784437937319e-455j)  +/-  (2.05e-27, 4.04e-83j)
| (0.03125 - 2.4352521823913241603e-455j)  +/-  (3.45e-28, 6.79e-84j)
| (0.03125 + 1.0261927646386782298e-455j)  +/-  (1.21e-30, 2.38e-86j)
| (0.03125 + 2.6432027238005913793e-456j)  +/-  (4.25e-29, 8.36e-85j)
| (0.03125 + 3.5468254864391062642e-456j)  +/-  (2.31e-30, 4.54e-86j)
| (0.03125 - 1.1373744808460312807e-455j)  +/-  (5.29e-31, 1.04e-86j)
| (0.03125 + 2.0825020818441303786e-455j)  +/-  (1.85e-30, 3.64e-86j)
| (0.03125 + 1.2653284916821555116e-455j)  +/-  (1.89e-31, 3.72e-87j)
| (0.03125 - 5.0675249979933307826e-456j)  +/-  (2.54e-32, 5e-88j)
| (0.03125 - 3.0864343202545717705e-456j)  +/-  (4.47e-31, 8.82e-87j)
| (0.03125 + 6.9044288233112042152e-456j)  +/-  (2.68e-33, 5.28e-89j)
| (0.03125 - 1.4149539103022430089e-455j)  +/-  (2.56e-32, 5.04e-88j)
| (0.03125 + 1.5932282810986826017e-455j)  +/-  (1.76e-32, 3.46e-88j)
| (0.03125 - 7.6213320743443979366e-456j)  +/-  (8.61e-34, 1.7e-89j)
| (0.03125 - 4.0277597941419524297e-456j)  +/-  (2.03e-33, 3.99e-89j)
| (0.03125 + 4.53313942719814814e-456j)  +/-  (1.32e-33, 2.61e-89j)
| (0.03125 + 8.4088441326431643214e-456j)  +/-  (8.4e-35, 1.67e-90j)
| (0.03125 - 1.8104507204780593647e-455j)  +/-  (1.17e-34, 2.3e-90j)
| (0.03125 - 9.282393271532592916e-456j)  +/-  (6.47e-35, 1.3e-90j)
| (0.03125 - 6.2459927976608547631e-456j)  +/-  (5.22e-35, 9.6e-91j)
