Starting with polynomial:
P : 268435456*t^28 - 1811939328*t^26 + 5452595200*t^24 - 9646899200*t^22 + 11142168576*t^20 - 8820883456*t^18 + 4889837568*t^16 - 1905131520*t^14 + 515973120*t^12 - 94595072*t^10 + 11202048*t^8 - 792064*t^6 + 29120*t^4 - 420*t^2 + 1
Extension levels are: 28
-------------------------------------------------
Ending with final polynomial:
P : 268435456*t^28 - 1811939328*t^26 + 5452595200*t^24 - 9646899200*t^22 + 11142168576*t^20 - 8820883456*t^18 + 4889837568*t^16 - 1905131520*t^14 + 515973120*t^12 - 94595072*t^10 + 11202048*t^8 - 792064*t^6 + 29120*t^4 - 420*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:
| (0.99413795715435960896 + 1.0621018484337002958e-458j)  +/-  (1.92e-119, 1.92e-119j)
| (-0.16178199655276472654 + 5.7907622572120645282e-472j)  +/-  (2.2e-126, 2.2e-126j)
| (-0.94765317118280244427 - 2.8782034474552961516e-463j)  +/-  (6.32e-119, 6.32e-119j)
| (-0.85685717616758924452 - 7.6240298227478181024e-465j)  +/-  (2.33e-119, 2.33e-119j)
| (0.72599549192313085814 + 1.2588405557465115644e-466j)  +/-  (2.02e-120, 2.02e-120j)
| (0.796093065705643746 - 1.7176818144948361725e-470j)  +/-  (1.05e-119, 1.05e-119j)
| (-0.99413795715435960896 - 1.9485569292008579443e-467j)  +/-  (1.95e-119, 1.95e-119j)
| (-0.90757541967095705362 - 3.0778702833324760784e-473j)  +/-  (4.6e-119, 4.6e-119j)
| (-0.97662055571008668321 - 4.7882005886854644762e-477j)  +/-  (4.22e-119, 4.22e-119j)
| (0.97662055571008668321 + 1.5462266689106191312e-477j)  +/-  (4.78e-119, 4.78e-119j)
| (0.85685717616758924452 - 4.3940004793697767838e-487j)  +/-  (2.25e-119, 2.25e-119j)
| (0.94765317118280244427 - 1.5163632885017173932e-493j)  +/-  (5.34e-119, 5.34e-119j)
| (-0.796093065705643746 - 2.1515600861609347249e-501j)  +/-  (8.11e-120, 8.11e-120j)
| (-0.64738628478182763918 - 1.6559959335595654715e-503j)  +/-  (4.8e-121, 4.8e-121j)
| (-0.05413890858541752615 + 1.6969257176423496321e-506j)  +/-  (1.62e-127, 1.62e-127j)
| (0.90757541967095705362 - 3.3332084853572962046e-504j)  +/-  (4.56e-119, 4.56e-119j)
| (0.26752833852922082119 - 1.7432114683204872141e-508j)  +/-  (3.82e-125, 3.82e-125j)
| (-0.37013815533991435686 + 9.8884868593522801818e-510j)  +/-  (6.36e-124, 6.36e-124j)
| (-0.72599549192313085814 - 1.4434921456329481147e-510j)  +/-  (2.14e-120, 2.14e-120j)
| (-0.26752833852922082119 - 2.6392251650732984012e-512j)  +/-  (3.69e-125, 3.69e-125j)
| (0.37013815533991435686 - 4.2384389308084785733e-511j)  +/-  (5.31e-124, 5.31e-124j)
| (0.64738628478182763918 - 1.3872862333884479048e-512j)  +/-  (4.74e-121, 4.74e-121j)
| (0.05413890858541752615 - 4.2529512545376769773e-517j)  +/-  (1.4e-127, 1.4e-127j)
| (-0.56118706536238236927 - 1.2251288245116439468e-522j)  +/-  (8.03e-122, 8.03e-122j)
| (-0.46840844069979013922 + 1.0391139338017177926e-522j)  +/-  (6.05e-123, 6.05e-123j)
| (0.16178199655276472654 + 8.6077045685991519615e-524j)  +/-  (2.3e-126, 2.3e-126j)
| (0.56118706536238236927 - 3.0007176000424899019e-526j)  +/-  (5.82e-122, 5.82e-122j)
| (0.46840844069979013922 - 8.7726853376949647221e-530j)  +/-  (6.35e-123, 6.35e-123j)
-------------------------------------------------
The weights are:
| (0.00040309386706747097917 - 5.4614257385948172217e-460j)  +/-  (6.32e-32, 2.73e-89j)
| (0.033580227089358662832 + 3.0853483771332361135e-460j)  +/-  (3.78e-32, 1.63e-89j)
| (0.0035156367981785561035 + 1.9215671057855454839e-461j)  +/-  (1.08e-32, 4.68e-90j)
| (0.0091653717120725838066 + 5.2561552123449145475e-461j)  +/-  (8.6e-33, 3.71e-90j)
| (0.016307949851975559894 - 6.4594865576125549698e-460j)  +/-  (1.47e-33, 6.36e-91j)
| (0.012628821749496192738 + 6.7727331605150952039e-460j)  +/-  (1.24e-33, 5.38e-91j)
| (0.00040309386706747097917 + 2.1557734409101222054e-462j)  +/-  (6.29e-34, 2.72e-91j)
| (0.0060795468141064200141 - 3.3911359214854193518e-461j)  +/-  (1.3e-33, 5.6e-91j)
| (0.0015935272470524645928 - 8.6039372771759510717e-462j)  +/-  (1.23e-33, 5.3e-91j)
| (0.0015935272470524645928 + 9.6617515414280102752e-460j)  +/-  (3.38e-35, 1.46e-92j)
| (0.0091653717120725838066 - 7.0909689003921593859e-460j)  +/-  (2.56e-35, 1.1e-92j)
| (0.0035156367981785561035 - 8.0326534875622444021e-460j)  +/-  (1.55e-35, 6.69e-93j)
| (0.012628821749496192738 - 7.4898253795089995456e-461j)  +/-  (9.35e-36, 4.04e-93j)
| (0.020030724078495943561 - 1.2958320792232600316e-460j)  +/-  (5.72e-37, 2.47e-94j)
| (0.034381688916454476016 - 3.4833985031536167241e-460j)  +/-  (8.56e-38, 3.7e-95j)
| (0.0060795468141064200141 + 7.4594503208678632379e-460j)  +/-  (4.45e-36, 1.92e-93j)
| (0.032014778899441193871 + 4.6795953190308424036e-460j)  +/-  (1.55e-38, 6.68e-96j)
| (0.029758542964191911347 + 2.316577750586687219e-460j)  +/-  (2.52e-38, 1.09e-95j)
| (0.016307949851975559894 + 1.0067182749363050571e-460j)  +/-  (8.94e-38, 3.86e-95j)
| (0.032014778899441193871 - 2.6949435658355881775e-460j)  +/-  (3.5e-38, 1.51e-95j)
| (0.029758542964191911347 - 5.0650956802407609538e-460j)  +/-  (9.4e-40, 4.06e-97j)
| (0.020030724078495943561 + 6.1353824696835538108e-460j)  +/-  (1.12e-39, 4.83e-97j)
| (0.034381688916454476016 + 3.8846741780065408935e-460j)  +/-  (1.64e-39, 7.09e-97j)
| (0.023623071643791626842 + 1.6129925786924136048e-460j)  +/-  (1.83e-39, 7.91e-97j)
| (0.026917018368316937401 - 1.9545481578203303679e-460j)  +/-  (1.46e-39, 6.31e-97j)
| (0.033580227089358662832 - 4.2848105237883891664e-460j)  +/-  (4.61e-40, 1.99e-97j)
| (0.023623071643791626842 - 5.7950933248255556187e-460j)  +/-  (3.45e-41, 1.51e-98j)
| (0.026917018368316937401 + 5.4378380848177833754e-460j)  +/-  (4.05e-41, 1.73e-98j)
