Starting with polynomial:
P : 67108864*t^26 - 10905190400*t^24 + 752458137600*t^22 - 28969638297600*t^20 + 688028909568000*t^18 - 10526842316390400*t^16 + 105268423163904000*t^14 - 684244750565376000*t^12 + 2822509596082176000*t^10 - 7056273990205440000*t^8 + 9878783586287616000*t^6 - 6735534263377920000*t^4 + 1683883565844480000*t^2 - 64764752532480000
Extension levels are: 26
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Ending with final polynomial:
P : 67108864*t^26 - 10905190400*t^24 + 752458137600*t^22 - 28969638297600*t^20 + 688028909568000*t^18 - 10526842316390400*t^16 + 105268423163904000*t^14 - 684244750565376000*t^12 + 2822509596082176000*t^10 - 7056273990205440000*t^8 + 9878783586287616000*t^6 - 6735534263377920000*t^4 + 1683883565844480000*t^2 - 64764752532480000
-------------------------------------------------
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:
| (5.5645249819501030972 - 8.5764296649320882624e-462j)  +/-  (3.9e-122, 3.9e-122j)
| (-4.3796026629833049719 - 9.3835719532767531082e-464j)  +/-  (1.85e-121, 1.85e-121j)
| (6.3095503856256935009 + 2.4916324567530696825e-477j)  +/-  (7.22e-123, 7.22e-123j)
| (-3.8562884199091490218 + 1.5139222141621077812e-475j)  +/-  (1.66e-121, 1.66e-121j)
| (3.3594271823508301366 + 6.3235080218923996764e-482j)  +/-  (1.08e-121, 1.08e-121j)
| (3.8562884199091490218 + 1.0393670028819777304e-482j)  +/-  (1.55e-121, 1.55e-121j)
| (-3.3594271823508301366 + 4.0951458006967126266e-482j)  +/-  (9.22e-122, 9.22e-122j)
| (4.9413249572413790738 - 9.2831329522999815774e-489j)  +/-  (1.08e-121, 1.08e-121j)
| (-1.5213615166519213667 - 1.5112675099424292543e-491j)  +/-  (5.46e-124, 5.46e-124j)
| (4.3796026629833049719 + 2.8375674339458764728e-490j)  +/-  (2.1e-121, 2.1e-121j)
| (1.0827330110778833562 - 6.098653492532141572e-493j)  +/-  (6.41e-125, 6.41e-125j)
| (-5.5645249819501030972 - 7.5112079133861436046e-490j)  +/-  (4.53e-122, 4.53e-122j)
| (-2.8817622195430872175 - 3.6175172974557566748e-496j)  +/-  (4.24e-122, 4.24e-122j)
| (1.5213615166519213667 - 3.5774528733601760222e-500j)  +/-  (6.03e-124, 6.03e-124j)
| (2.4184157647737791478 + 2.3057818466466027017e-499j)  +/-  (1.32e-122, 1.32e-122j)
| (2.8817622195430872175 - 1.8696197829544973698e-499j)  +/-  (4.06e-122, 4.06e-122j)
| (0.64809521399344830968 + 1.0196874791406886929e-502j)  +/-  (6.23e-126, 6.23e-126j)
| (-2.4184157647737791478 - 6.0474027297847528536e-499j)  +/-  (1.2e-122, 1.2e-122j)
| (-1.0827330110778833562 + 1.3676295531897441623e-503j)  +/-  (8.3e-125, 8.3e-125j)
| (-0.21577785624346343465 + 4.2390506171622207195e-506j)  +/-  (5.6e-127, 5.6e-127j)
| (-6.3095503856256935009 - 2.0407888653861884118e-501j)  +/-  (6.72e-123, 6.72e-123j)
| (1.9658547856411365752 + 6.234607654252737099e-508j)  +/-  (3.22e-123, 3.22e-123j)
| (0.21577785624346343465 - 1.0468913530012263985e-513j)  +/-  (5.6e-127, 5.6e-127j)
| (-4.9413249572413790738 - 8.0618772834132860247e-515j)  +/-  (9.68e-122, 9.68e-122j)
| (-0.64809521399344830968 + 6.2166354678741421889e-528j)  +/-  (6.23e-126, 6.23e-126j)
| (-1.9658547856411365752 - 1.5608963205853775625e-526j)  +/-  (3.59e-123, 3.59e-123j)
-------------------------------------------------
The weights are:
| (1.3445476496635730192e-14 + 6.8296287820745062864e-475j)  +/-  (7.12e-48, 1.73e-107j)
| (1.4242932379880092971e-09 - 5.8910628379529604201e-472j)  +/-  (3.89e-46, 9.47e-106j)
| (2.4806942603936308147e-18 + 1.5805663427633711036e-477j)  +/-  (1.96e-49, 4.77e-109j)
| (9.986755573314586608e-08 + 2.1719002631746000712e-471j)  +/-  (5.21e-45, 1.27e-104j)
| (3.4434136123081268523e-06 + 1.6860099821088485746e-471j)  +/-  (5.01e-44, 1.22e-103j)
| (9.986755573314586608e-08 - 3.198593779904600639e-472j)  +/-  (2.6e-45, 6.33e-105j)
| (3.4434136123081268523e-06 - 6.6483000447584826534e-471j)  +/-  (1.5e-45, 3.66e-105j)
| (8.2428094431638531144e-12 - 5.6722726397224146436e-474j)  +/-  (7.9e-48, 1.93e-107j)
| (0.024597665657121181035 - 2.1633070254415441703e-469j)  +/-  (4.34e-41, 1.06e-100j)
| (1.4242932379880092971e-09 + 4.6932298180450111431e-473j)  +/-  (8.62e-47, 2.1e-106j)
| (0.076229532206303023682 - 2.4026310839566946559e-469j)  +/-  (1.05e-39, 2.57e-99j)
| (1.3445476496635730192e-14 + 3.3618862026034725414e-475j)  +/-  (6.44e-52, 1.57e-111j)
| (6.5575586943338403451e-05 + 2.009925064217551159e-470j)  +/-  (5.21e-46, 1.27e-105j)
| (0.024597665657121181035 + 1.3269842912797855544e-469j)  +/-  (1.44e-42, 3.5e-102j)
| (0.00074420257636043386484 + 2.2834372263834314266e-470j)  +/-  (7.74e-45, 1.88e-104j)
| (6.5575586943338403451e-05 - 6.9511172243421570806e-471j)  +/-  (2.09e-45, 5.09e-105j)
| (0.16058654561379458559 + 3.6332122609404117862e-469j)  +/-  (9.68e-43, 2.36e-102j)
| (0.00074420257636043386484 - 5.2658432057650615293e-470j)  +/-  (3.5e-46, 8.53e-106j)
| (0.076229532206303023682 + 3.3787641587004316739e-469j)  +/-  (8.14e-44, 1.98e-103j)
| (0.23247073563007765645 + 4.9302375655097521821e-469j)  +/-  (1.54e-43, 3.75e-103j)
| (2.4806942603936308147e-18 - 2.7581629170473501633e-477j)  +/-  (2.25e-54, 5.49e-114j)
| (0.0053021980156822443106 - 6.0760492461805688094e-470j)  +/-  (1.34e-45, 3.26e-105j)
| (0.23247073563007765645 - 4.6120650594644533788e-469j)  +/-  (5.16e-45, 1.29e-104j)
| (8.2428094431638531144e-12 - 1.7828450704896504781e-473j)  +/-  (3.71e-51, 9.04e-111j)
| (0.16058654561379458559 - 4.4445707565073885178e-469j)  +/-  (1.33e-45, 3.42e-105j)
| (0.0053021980156822443106 + 1.1644888964428165265e-469j)  +/-  (1.37e-46, 3.28e-106j)
