Starting with polynomial:
P : 1048576*t^20 - 4980736*t^18 + 10027008*t^16 - 11141120*t^14 + 7454720*t^12 - 3075072*t^10 + 768768*t^8 - 109824*t^6 + 7920*t^4 - 220*t^2 + 1
Extension levels are: 20
-------------------------------------------------
Ending with final polynomial:
P : 1048576*t^20 - 4980736*t^18 + 10027008*t^16 - 11141120*t^14 + 7454720*t^12 - 3075072*t^10 + 768768*t^8 - 109824*t^6 + 7920*t^4 - 220*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: 1
  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
Positive weights:   20 out of 20
Indefinite weights: 0 out of 20
Negative weights:   0 out of 20
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.98883082622512854507 - 1.3153253754106014448e-432j)  +/-  (2.57e-122, 2.57e-122j)
| (-0.62348980185873353053 + 1.6827602131181190975e-441j)  +/-  (3.2e-123, 3.2e-123j)
| (-0.95557280578614073281 - 4.7202251646245791698e-451j)  +/-  (6.29e-122, 6.29e-122j)
| (0.82623877431599487195 - 6.3241009878008639934e-455j)  +/-  (3.75e-122, 3.75e-122j)
| (0.95557280578614073281 - 6.0261897328200069907e-461j)  +/-  (6.33e-122, 6.33e-122j)
| (0.73305187182982632852 + 7.2293720832342901192e-468j)  +/-  (1.08e-122, 1.08e-122j)
| (-0.98883082622512854507 + 2.9959202111433690222e-472j)  +/-  (2.76e-122, 2.76e-122j)
| (-0.90096886790241912624 - 5.0948879232477584565e-484j)  +/-  (6.73e-122, 6.73e-122j)
| (-0.5 - 4.4106663810347871149e-489j)  +/-  (4.11e-124, 4.11e-124j)
| (0.36534102436639501454 + 1.1748772862377796456e-487j)  +/-  (2.67e-125, 2.67e-125j)
| (0.90096886790241912624 - 4.5083611767709859762e-491j)  +/-  (7.32e-122, 7.32e-122j)
| (0.22252093395631440429 - 8.0750726754706613464e-493j)  +/-  (1.53e-126, 1.53e-126j)
| (-0.36534102436639501454 - 6.2069230697660891885e-492j)  +/-  (3.76e-125, 3.76e-125j)
| (-0.73305187182982632852 - 6.4169201049454017934e-493j)  +/-  (1.1e-122, 1.1e-122j)
| (0.074730093586424254291 + 1.2297503182115214409e-498j)  +/-  (1.47e-127, 1.47e-127j)
| (0.62348980185873353053 - 3.0648505266121819528e-498j)  +/-  (2.7e-123, 2.7e-123j)
| (0.5 + 4.1579287144321722331e-501j)  +/-  (3.7e-124, 3.7e-124j)
| (-0.074730093586424254291 + 1.8205170216893127664e-500j)  +/-  (1.47e-127, 1.47e-127j)
| (-0.82623877431599487195 + 9.5849506796773570529e-501j)  +/-  (3.92e-122, 3.92e-122j)
| (-0.22252093395631440429 - 1.9855453288264214207e-504j)  +/-  (1.53e-126, 1.53e-126j)
-------------------------------------------------
The weights are:
| (0.0010577903384252206473 + 9.2902448409828460847e-434j)  +/-  (2.38e-44, 7.14e-104j)
| (0.029107641284674152483 + 2.3745909252808878727e-434j)  +/-  (8e-45, 2.39e-104j)
| (0.0041371720400953601918 + 2.7986613666139181479e-435j)  +/-  (5.25e-45, 1.57e-104j)
| (0.015110927991276309178 - 1.2224328804760838473e-433j)  +/-  (3.98e-45, 1.19e-104j)
| (0.0041371720400953601918 - 1.6362150528189762543e-433j)  +/-  (3.53e-45, 1.06e-104j)
| (0.022030235866989898707 + 1.1328894645624028652e-433j)  +/-  (2.31e-45, 6.92e-105j)
| (0.0010577903384252206473 - 7.0352704803448730279e-436j)  +/-  (2.18e-46, 6.52e-106j)
| (0.008964528527173011178 - 6.2394293872967918292e-435j)  +/-  (3.68e-46, 1.1e-105j)
| (0.035714285714285714286 - 3.1552212757668873199e-434j)  +/-  (1.08e-46, 3.24e-106j)
| (0.041263139805472055441 - 8.7049466947546734296e-434j)  +/-  (1.64e-47, 4.9e-107j)
| (0.008964528527173011178 + 1.3420224265823884589e-433j)  +/-  (3.88e-47, 1.16e-106j)
| (0.045261163521486169672 + 7.7688096643445424566e-434j)  +/-  (9.98e-48, 2.99e-107j)
| (0.041263139805472055441 + 4.0079444271260854045e-434j)  +/-  (4.31e-48, 1.29e-107j)
| (0.022030235866989898707 - 1.6828630493962181354e-434j)  +/-  (2.65e-48, 7.95e-108j)
| (0.047353114910122108216 - 6.8137735291540122032e-434j)  +/-  (2.03e-48, 6.07e-108j)
| (0.029107641284674152483 - 1.0479529168899253357e-433j)  +/-  (1.81e-48, 5.43e-108j)
| (0.035714285714285714286 + 9.6098494142795194745e-434j)  +/-  (1.12e-48, 3.36e-108j)
| (0.047353114910122108216 + 5.8562469380212368613e-434j)  +/-  (3.02e-49, 9.13e-109j)
| (0.015110927991276309178 + 1.0950426804218885547e-434j)  +/-  (6.21e-50, 2.13e-109j)
| (0.045261163521486169672 - 4.9146052441115383918e-434j)  +/-  (1.81e-49, 5.22e-109j)
