Starting with polynomial:
P : t^30 - 435*t^28 + 82215*t^26 - 8906625*t^24 + 614557125*t^22 - 28392539175*t^20 + 899097073875*t^18 - 19651693186125*t^16 + 294775397791875*t^14 - 2980506799895625*t^12 + 19671344879311125*t^10 - 80473683597181875*t^8 + 187771928393424375*t^6 - 216659917377028125*t^4 + 92854250304440625*t^2 - 6190283353629375
Extension levels are: 30
-------------------------------------------------
Ending with final polynomial:
P : t^30 - 435*t^28 + 82215*t^26 - 8906625*t^24 + 614557125*t^22 - 28392539175*t^20 + 899097073875*t^18 - 19651693186125*t^16 + 294775397791875*t^14 - 2980506799895625*t^12 + 19671344879311125*t^10 - 80473683597181875*t^8 + 187771928393424375*t^6 - 216659917377028125*t^4 + 92854250304440625*t^2 - 6190283353629375
-------------------------------------------------
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
Positive weights:   30 out of 30
Indefinite weights: 0 out of 30
Negative weights:   0 out of 30
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (5.6623818500828738324 + 2.0172605880006883063e-373j)  +/-  (1.68e-120, 1.68e-120j)
| (9.7062359973595236736 + 1.8796000621553622166e-381j)  +/-  (4.92e-122, 4.92e-122j)
| (-8.6808377227322132462 - 1.2783469913056740217e-387j)  +/-  (3.46e-121, 3.46e-121j)
| (8.6808377227322132462 + 1.4781247020651613731e-397j)  +/-  (3.6e-121, 3.6e-121j)
| (-9.7062359973595236736 - 4.4969123927290075999e-409j)  +/-  (4.7e-122, 4.7e-122j)
| (7.8250517443528118194 + 3.5460316958718512106e-412j)  +/-  (1.14e-120, 1.14e-120j)
| (-4.3840203658980518283 - 1.0423573191699256905e-419j)  +/-  (4.15e-121, 4.15e-121j)
| (-1.4260056583741142718 + 3.9833178125959185612e-424j)  +/-  (1.21e-124, 1.21e-124j)
| (-5.0126005964865180028 + 2.6793833501364140283e-419j)  +/-  (1.05e-120, 1.05e-120j)
| (-3.7718944231592365873 + 7.1947685829097203153e-422j)  +/-  (1.53e-121, 1.53e-121j)
| (2.5834021002292732539 - 1.2252239128052323874e-421j)  +/-  (6.8e-123, 6.8e-123j)
| (4.3840203658980518283 - 1.6003154169252866069e-421j)  +/-  (5.14e-121, 5.14e-121j)
| (-7.0553968669602917092 + 2.6475195036406161531e-428j)  +/-  (2.04e-120, 2.04e-120j)
| (-3.17263463942040309 + 3.1517052343201615801e-430j)  +/-  (3.22e-122, 3.22e-122j)
| (-6.3399976868695980851 + 3.1669012641465241666e-428j)  +/-  (1.96e-120, 1.96e-120j)
| (3.17263463942040309 + 3.2650673538608666853e-431j)  +/-  (3.43e-122, 3.43e-122j)
| (2.0018586129564308951 + 5.008782172225749617e-438j)  +/-  (1.1e-123, 1.1e-123j)
| (-5.6623818500828738324 + 2.0045880966063637981e-434j)  +/-  (1.87e-120, 1.87e-120j)
| (-2.0018586129564308951 - 2.5572365520612583386e-444j)  +/-  (9.31e-124, 9.31e-124j)
| (3.7718944231592365873 + 1.5037208294106450879e-448j)  +/-  (1.76e-121, 1.76e-121j)
| (6.3399976868695980851 - 2.8788210004336900605e-463j)  +/-  (2.62e-120, 2.62e-120j)
| (0.85407335171097311024 + 1.6282185491941469586e-480j)  +/-  (1.01e-125, 1.01e-125j)
| (-7.8250517443528118194 - 3.8721494160960703013e-475j)  +/-  (1.23e-120, 1.23e-120j)
| (-2.5834021002292732539 - 5.3208960233056936276e-483j)  +/-  (7.69e-123, 7.69e-123j)
| (-0.28443876073620928674 + 9.7398929420133454996e-488j)  +/-  (9e-127, 9e-127j)
| (5.0126005964865180028 + 3.0382721250172321263e-483j)  +/-  (1.04e-120, 1.04e-120j)
| (1.4260056583741142718 + 7.8460173481271857991e-496j)  +/-  (1.21e-124, 1.21e-124j)
| (0.28443876073620928674 - 2.8808909130792513597e-497j)  +/-  (9e-127, 9e-127j)
| (7.0553968669602917092 + 3.5052047903811487892e-490j)  +/-  (1.91e-120, 1.91e-120j)
| (-0.85407335171097311024 + 1.4079026506257924353e-501j)  +/-  (8.48e-126, 8.48e-126j)
-------------------------------------------------
The weights are:
| (2.8821751540476444461e-08 - 1.6460822474423201082e-380j)  +/-  (2.11e-32, 3.77e-92j)
| (1.6408070081178413677e-21 - 3.4304844621608039121e-388j)  +/-  (1.69e-39, 3.02e-99j)
| (1.5855609449662979156e-17 + 9.507514834453430757e-387j)  +/-  (1.56e-39, 2.79e-99j)
| (1.5855609449662979156e-17 + 4.5178189980518420264e-386j)  +/-  (2.87e-38, 5.14e-98j)
| (1.6408070081178413677e-21 - 9.0264322772428409305e-389j)  +/-  (3.92e-41, 7.02e-101j)
| (1.6240801299723970104e-14 - 2.0180674633518329322e-384j)  +/-  (2.71e-37, 4.85e-97j)
| (1.6579981630673451563e-05 + 1.388045331113455077e-380j)  +/-  (3.5e-33, 6.28e-93j)
| (0.082786836715621843839 - 1.390129889549073494e-378j)  +/-  (4.74e-23, 8.49e-83j)
| (8.909088868621194354e-07 - 3.0281101197409153708e-381j)  +/-  (1.01e-34, 1.8e-94j)
| (0.00019651294398482640497 - 5.0887273180546985266e-380j)  +/-  (2.76e-32, 4.95e-92j)
| (0.0082957475577232948228 + 1.0130785496693129234e-378j)  +/-  (1.15e-30, 2.06e-90j)
| (1.6579981630673451563e-05 - 1.0908386917861878821e-379j)  +/-  (6.87e-35, 1.23e-94j)
| (4.573425871326203375e-12 + 5.7587966920257073498e-384j)  +/-  (4.2e-39, 7.53e-99j)
| (0.0015447073398660852068 + 1.5234841115008894472e-379j)  +/-  (1.65e-32, 2.95e-92j)
| (5.1784594671897099968e-10 - 6.4931453308562828267e-383j)  +/-  (4.16e-38, 7.45e-98j)
| (0.0015447073398660852068 - 5.4061742449046399618e-379j)  +/-  (1.76e-34, 3.16e-94j)
| (0.031111770183501276848 - 1.6502182341664690136e-378j)  +/-  (4e-32, 7.18e-92j)
| (2.8821751540476444461e-08 + 5.1339687960906608346e-382j)  +/-  (3.42e-37, 6.13e-97j)
| (0.031111770183501276848 + 7.8816188265844924235e-379j)  +/-  (2.25e-32, 4.04e-92j)
| (0.00019651294398482640497 + 2.5394752016862609197e-379j)  +/-  (5.37e-36, 9.65e-96j)
| (5.1784594671897099968e-10 - 1.1501088141488808379e-381j)  +/-  (1.74e-40, 3.15e-100j)
| (0.15804695320902071341 - 2.8315414836498209302e-378j)  +/-  (3.35e-33, 5.66e-93j)
| (1.6240801299723970104e-14 - 3.2359112035941771494e-385j)  +/-  (1.2e-41, 2.07e-101j)
| (0.0082957475577232948228 - 3.7828402468934292926e-379j)  +/-  (5.26e-35, 8.9e-95j)
| (0.21799997181557725417 - 2.6888437716587508926e-378j)  +/-  (4.54e-34, 7.46e-94j)
| (8.909088868621194354e-07 + 4.9747545340225773395e-380j)  +/-  (1.17e-38, 1.93e-98j)
| (0.082786836715621843839 + 2.3259925224529660836e-378j)  +/-  (2.17e-35, 3.08e-95j)
| (0.21799997181557725417 + 2.973269016596329057e-378j)  +/-  (7.75e-35, 1.05e-94j)
| (4.573425871326203375e-12 + 5.2575960142767224846e-383j)  +/-  (1.02e-41, 1.98e-101j)
| (0.15804695320902071341 + 2.0893145978473237285e-378j)  +/-  (3.07e-35, 3.7e-95j)
