Starting with polynomial:
P : 1/2432902008176640000*t^20 - 1/6082255020441600*t^19 + 19/640237370572800*t^18 - 19/5928123801600*t^17 + 323/1394852659200*t^16 - 323/27243216000*t^15 + 323/726485760*t^14 - 323/25945920*t^13 + 4199/15966720*t^12 - 4199/997920*t^11 + 46189/907200*t^10 - 4199/9072*t^9 + 4199/1344*t^8 - 323/21*t^7 + 323/6*t^6 - 646/5*t^5 + 1615/8*t^4 - 190*t^3 + 95*t^2 - 20*t + 1
Extension levels are: 20
-------------------------------------------------
Ending with final polynomial:
P : 1/2432902008176640000*t^20 - 1/6082255020441600*t^19 + 19/640237370572800*t^18 - 19/5928123801600*t^17 + 323/1394852659200*t^16 - 323/27243216000*t^15 + 323/726485760*t^14 - 323/25945920*t^13 + 4199/15966720*t^12 - 4199/997920*t^11 + 46189/907200*t^10 - 4199/9072*t^9 + 4199/1344*t^8 - 323/21*t^7 + 323/6*t^6 - 646/5*t^5 + 1615/8*t^4 - 190*t^3 + 95*t^2 - 20*t + 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:
| (55.810795750063898891 + 2.5076365302554249101e-309j)  +/-  (1.8e-118, 1.8e-118j)
| (35.013434240479000006 - 1.4702159685747492522e-329j)  +/-  (2.82e-117, 2.82e-117j)
| (66.524416525615753819 - 2.6854214435311233339e-340j)  +/-  (1.48e-119, 1.48e-119j)
| (40.833057056728571062 - 1.0790117720352792191e-346j)  +/-  (1.84e-117, 1.84e-117j)
| (47.61999404734650214 - 5.9679985250898475666e-355j)  +/-  (7.77e-118, 7.77e-118j)
| (0.91658210248327356467 + 2.9261478751087754152e-363j)  +/-  (1.89e-124, 1.89e-124j)
| (14.814293442630739979 - 4.881794217103536373e-356j)  +/-  (7.29e-118, 7.29e-118j)
| (21.478788240285010976 - 1.2329676200789801017e-357j)  +/-  (2.9e-117, 2.9e-117j)
| (4.0489253138508869224 + 1.1363215045433826003e-370j)  +/-  (3.77e-121, 3.77e-121j)
| (17.948895520519376017 - 5.2801448865549169738e-366j)  +/-  (1.47e-117, 1.47e-117j)
| (2.7491992553094321296 + 1.0135925317766890567e-381j)  +/-  (5.36e-122, 5.36e-122j)
| (0.37212681800161144379 + 6.5960294893770676537e-385j)  +/-  (8.32e-126, 8.32e-126j)
| (29.932554631700612007 + 1.1690739836139317107e-375j)  +/-  (3.89e-117, 3.89e-117j)
| (12.03880254696431631 - 1.7544409331754378704e-384j)  +/-  (2.44e-118, 2.44e-118j)
| (7.4590174536710633098 + 3.8086354624887390606e-387j)  +/-  (1.41e-119, 1.41e-119j)
| (1.7073065310283438807 - 1.7435904583424660283e-396j)  +/-  (3.5e-123, 3.5e-123j)
| (5.6151749708616165141 - 2.03134990128293079e-390j)  +/-  (2.88e-120, 2.88e-120j)
| (9.5943928695810967725 - 1.4104193523634454621e-389j)  +/-  (6.83e-119, 6.83e-119j)
| (25.451702793186905504 - 4.876688053444467134e-405j)  +/-  (3.31e-117, 3.31e-117j)
| (0.070539889691988753367 - 5.3462893840023350685e-424j)  +/-  (1.95e-127, 1.95e-127j)
-------------------------------------------------
The weights are:
| (5.2864427255691578288e-24 - 6.5094757888970593686e-333j)  +/-  (6.32e-46, 7.65e-104j)
| (3.3728442433624384124e-15 + 1.275247565708363477e-329j)  +/-  (1.18e-42, 1.43e-100j)
| (1.6564566124990232959e-28 - 7.5619107252461663869e-336j)  +/-  (6.44e-48, 7.79e-106j)
| (1.155014339500398831e-17 - 1.119027172911663894e-330j)  +/-  (4.11e-44, 4.98e-102j)
| (1.5395221405823435535e-20 + 8.0676764395846724317e-332j)  +/-  (3.55e-45, 4.3e-103j)
| (0.26668610286700128855 - 6.9509882886707456861e-324j)  +/-  (3.95e-33, 4.79e-91j)
| (1.0864863665179823515e-06 - 7.5525403201061900271e-326j)  +/-  (6.4e-40, 7.74e-98j)
| (1.7579811790505820036e-09 - 4.36817517183430872e-327j)  +/-  (5.18e-42, 6.27e-100j)
| (0.024964417309283221073 + 4.7403224497935958995e-324j)  +/-  (3.3e-35, 3.99e-93j)
| (5.3301209095567147509e-08 + 1.9937570430554530504e-326j)  +/-  (3.53e-41, 4.27e-99j)
| (0.07482606466879237054 - 6.5968482616259244492e-324j)  +/-  (1.53e-34, 1.85e-92j)
| (0.29125436200606828172 + 4.5830664651555930878e-324j)  +/-  (3.77e-33, 4.56e-91j)
| (4.7675292515781905245e-13 - 1.1266034223861283309e-328j)  +/-  (6.67e-44, 8.08e-102j)
| (1.5401440865224915689e-05 + 2.4008401488734143731e-325j)  +/-  (2.11e-40, 2.55e-98j)
| (0.001144962386476908242 + 1.4750651973132156348e-324j)  +/-  (1.22e-39, 1.48e-97j)
| (0.16600245326950684003 + 7.59407664045800719e-324j)  +/-  (1.24e-36, 1.5e-94j)
| (0.0062025508445722368474 - 2.8693810766477893607e-324j)  +/-  (4.41e-39, 5.33e-97j)
| (0.00015574177302781197478 - 6.4550916377705197481e-325j)  +/-  (1.96e-40, 2.37e-98j)
| (3.7255024025123208726e-11 + 7.8279726517865468955e-328j)  +/-  (5.97e-44, 7.24e-102j)
| (0.16874680185111386215 - 1.5106138134750510102e-324j)  +/-  (9.9e-39, 1.14e-96j)
