Starting with polynomial:
P : 1073741824*t^31 - 8321499136*t^29 + 29125246976*t^27 - 60850962432*t^25 + 84515225600*t^23 - 82239815680*t^21 + 57567870976*t^19 - 29297934336*t^17 + 10827497472*t^15 - 2870927360*t^13 + 533172224*t^11 - 66646528*t^9 + 5261568*t^7 - 236096*t^5 + 4960*t^3 - 31*t
Extension levels are: 31
-------------------------------------------------
Ending with final polynomial:
P : 1073741824*t^31 - 8321499136*t^29 + 29125246976*t^27 - 60850962432*t^25 + 84515225600*t^23 - 82239815680*t^21 + 57567870976*t^19 - 29297934336*t^17 + 10827497472*t^15 - 2870927360*t^13 + 533172224*t^11 - 66646528*t^9 + 5261568*t^7 - 236096*t^5 + 4960*t^3 - 31*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:
| (-0.99871650717105280715 - 4.6854317493954595667e-435j)  +/-  (8.05e-118, 8.05e-118j)
| (-0.98846832432811139916 - 1.2896627137635644186e-435j)  +/-  (1.77e-117, 1.77e-117j)
| (-0.89780453957074165714 - 3.3444993790694737409e-436j)  +/-  (6.91e-118, 6.91e-118j)
| (0.99871650717105280715 + 1.3798214785238403887e-433j)  +/-  (6.95e-118, 6.95e-118j)
| (0.89780453957074165714 + 4.6022969758553840787e-442j)  +/-  (7.35e-118, 7.35e-118j)
| (0.93775213214708045843 + 1.3133163451652484021e-446j)  +/-  (1.34e-117, 1.34e-117j)
| (0.98846832432811139916 + 1.5113330852105945938e-453j)  +/-  (2.14e-117, 2.14e-117j)
| (-0.93775213214708045843 - 8.4579729300040116497e-461j)  +/-  (1.52e-117, 1.52e-117j)
| (-0.96807711886620430515 + 2.6332830267157396268e-463j)  +/-  (2.11e-117, 2.11e-117j)
| (0.96807711886620430515 + 2.928256797416226599e-463j)  +/-  (2.32e-117, 2.32e-117j)
| (0.84864425749475095046 + 4.1138222963468265374e-468j)  +/-  (3.03e-118, 3.03e-118j)
| (0.57126821509479227916 - 1.0380600634015867647e-470j)  +/-  (3.82e-121, 3.82e-121j)
| (-0.84864425749475095046 - 1.5569073380359893398e-472j)  +/-  (2.43e-118, 2.43e-118j)
| (-0.79077573693769858208 - 2.3516335952268004642e-474j)  +/-  (7.54e-119, 7.54e-119j)
| (-1.2848268486428911588e-476 - 1.5197798988549859981e-476j)  +/-  (6.17e-475, 6.17e-475j)
| (0.79077573693769858208 + 1.1161772437886511104e-476j)  +/-  (8.04e-119, 8.04e-119j)
| (0.3943558551133185801 + 1.0074686258369178125e-483j)  +/-  (2.61e-123, 2.61e-123j)
| (-0.10116832198743217779 - 6.6487398756464186224e-491j)  +/-  (5.19e-127, 5.19e-127j)
| (-0.72479278722911995887 + 1.0551140705716133851e-488j)  +/-  (1.78e-119, 1.78e-119j)
| (-0.3943558551133185801 - 2.1356580077881436798e-493j)  +/-  (2.66e-123, 2.66e-123j)
| (0.48530196253108102521 + 7.9977841381231564549e-489j)  +/-  (3.34e-122, 3.34e-122j)
| (0.72479278722911995887 - 8.0788066657446927574e-491j)  +/-  (1.44e-119, 1.44e-119j)
| (0.20129852008866007914 - 8.7896108026203376337e-497j)  +/-  (1.28e-125, 1.28e-125j)
| (-0.48530196253108102521 + 3.1264588915815315341e-498j)  +/-  (3.78e-122, 3.78e-122j)
| (-0.57126821509479227916 - 1.0944837379896502392e-496j)  +/-  (3.75e-121, 3.75e-121j)
| (0.10116832198743217779 - 3.7840401427269747404e-499j)  +/-  (5.19e-127, 5.19e-127j)
| (0.65137248272222220745 + 2.6075322601520477029e-499j)  +/-  (2.88e-120, 2.88e-120j)
| (0.29936312297335795401 - 8.4479068839688887034e-503j)  +/-  (2.05e-124, 2.05e-124j)
| (-0.29936312297335795401 - 1.4510820385501222889e-505j)  +/-  (2.21e-124, 2.21e-124j)
| (-0.65137248272222220745 - 4.3812573382515457747e-504j)  +/-  (2.36e-120, 2.36e-120j)
| (-0.20129852008866007914 + 1.4999940286245318022e-509j)  +/-  (1.13e-125, 1.13e-125j)
-------------------------------------------------
The weights are:
| (0.032258064516129032258 - 3.2994748138663146589e-434j)  +/-  (5.11e-26, 1.5e-81j)
| (0.032258064516129032258 + 4.9852504622944821693e-434j)  +/-  (3.92e-26, 1.15e-81j)
| (0.032258064516129032258 - 3.2120279076176549652e-434j)  +/-  (9.78e-27, 2.86e-82j)
| (0.032258064516129032258 - 8.6648996886869707157e-433j)  +/-  (6.91e-28, 2.02e-83j)
| (0.032258064516129032258 - 3.8415457909970792621e-433j)  +/-  (3.8e-28, 1.11e-83j)
| (0.032258064516129032258 + 5.0112864514563246061e-433j)  +/-  (3.8e-28, 1.11e-83j)
| (0.032258064516129032258 + 1.2987251022044074172e-432j)  +/-  (3.69e-28, 1.08e-83j)
| (0.032258064516129032258 + 3.0666940033984831527e-434j)  +/-  (1.08e-28, 3.17e-84j)
| (0.032258064516129032258 - 3.2147395091112574496e-434j)  +/-  (1.89e-28, 5.54e-84j)
| (0.032258064516129032258 - 7.1926893429453960107e-433j)  +/-  (7.45e-29, 2.18e-84j)
| (0.032258064516129032258 + 3.1053512689275430672e-433j)  +/-  (3.39e-30, 9.92e-86j)
| (0.032258064516129032258 + 1.701712090672891246e-433j)  +/-  (1.74e-32, 5.1e-88j)
| (0.032258064516129032258 + 3.4905515849298626376e-434j)  +/-  (1.1e-30, 3.22e-86j)
| (0.032258064516129032258 - 3.8133446051812411448e-434j)  +/-  (2.17e-31, 6.35e-87j)
| (0.032258064516129032258 + 9.0730002341387137037e-434j)  +/-  (9.9e-34, 2.89e-89j)
| (0.032258064516129032258 - 2.5962284734065720656e-433j)  +/-  (6.5e-32, 1.9e-87j)
| (0.032258064516129032258 + 1.3542853035593611523e-433j)  +/-  (8.59e-34, 2.51e-89j)
| (0.032258064516129032258 - 8.2519362846168212941e-434j)  +/-  (3.95e-34, 1.16e-89j)
| (0.032258064516129032258 + 4.2014914228188475883e-434j)  +/-  (1.3e-33, 3.82e-89j)
| (0.032258064516129032258 + 6.2128250003029755032e-434j)  +/-  (5.52e-35, 1.61e-90j)
| (0.032258064516129032258 - 1.5127018291613051863e-433j)  +/-  (5.73e-34, 1.68e-89j)
| (0.032258064516129032258 + 2.2212606373998246048e-433j)  +/-  (1.19e-33, 3.48e-89j)
| (0.032258064516129032258 + 1.1018095965264223515e-433j)  +/-  (3.55e-35, 1.04e-90j)
| (0.032258064516129032258 - 5.6433047823753842377e-434j)  +/-  (5.55e-36, 1.62e-91j)
| (0.032258064516129032258 + 5.1193197574350096332e-434j)  +/-  (4.23e-36, 1.24e-91j)
| (0.032258064516129032258 - 9.9881321531917770933e-434j)  +/-  (7.07e-36, 2.07e-91j)
| (0.032258064516129032258 - 1.9322663725538996959e-433j)  +/-  (1.9e-35, 5.56e-91j)
| (0.032258064516129032258 - 1.2190522003887829767e-433j)  +/-  (6.46e-36, 1.89e-91j)
| (0.032258064516129032258 - 6.8325001913073478392e-434j)  +/-  (4.43e-37, 1.3e-92j)
| (0.032258064516129032258 - 4.6385344993738972288e-434j)  +/-  (3.29e-37, 9.7e-93j)
| (0.032258064516129032258 + 7.5091355568589686544e-434j)  +/-  (4.43e-37, 1.29e-92j)
