Starting with polynomial:
P : t^26 - 325*t^24 + 44850*t^22 - 3453450*t^20 + 164038875*t^18 - 5019589575*t^16 + 100391791500*t^14 - 1305093289500*t^12 + 10767019638375*t^10 - 53835098191875*t^8 + 150738274937250*t^6 - 205552193096250*t^4 + 102776096548125*t^2 - 7905853580625
Extension levels are: 26
-------------------------------------------------
Ending with final polynomial:
P : t^26 - 325*t^24 + 44850*t^22 - 3453450*t^20 + 164038875*t^18 - 5019589575*t^16 + 100391791500*t^14 - 1305093289500*t^12 + 10767019638375*t^10 - 53835098191875*t^8 + 150738274937250*t^6 - 205552193096250*t^4 + 102776096548125*t^2 - 7905853580625
-------------------------------------------------
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:   26 out of 26
Indefinite weights: 0 out of 26
Negative weights:   0 out of 26
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.7509474830853766697 + 1.713762004799162367e-477j)  +/-  (1.14e-121, 1.14e-121j)
| (7.869426697637737727 + 4.6597949831627992703e-485j)  +/-  (5.38e-122, 5.38e-122j)
| (-8.9230517278282476137 - 1.0076719069423426096e-489j)  +/-  (8.1e-123, 8.1e-123j)
| (6.1936934837963133401 - 1.0960546800470780966e-494j)  +/-  (2.37e-121, 2.37e-121j)
| (-7.869426697637737727 + 9.6986288109041635515e-500j)  +/-  (5.99e-122, 5.99e-122j)
| (5.4536153838578314707 + 1.1787404009063961439e-505j)  +/-  (1.91e-121, 1.91e-121j)
| (-6.9880887706234122698 + 3.2929515669587592646e-507j)  +/-  (1.41e-121, 1.41e-121j)
| (-3.4201563739999792806 - 1.2821508786692030575e-512j)  +/-  (1.87e-122, 1.87e-122j)
| (8.9230517278282476137 - 2.320108325632405026e-514j)  +/-  (9.46e-123, 9.46e-123j)
| (6.9880887706234122698 - 3.0027399642650898887e-513j)  +/-  (1.44e-121, 1.44e-121j)
| (-5.4536153838578314707 - 1.788324336829635692e-512j)  +/-  (2.02e-121, 2.02e-121j)
| (4.0754272144122266022 - 1.4354970981544677067e-520j)  +/-  (5.07e-122, 5.07e-122j)
| (-2.780138499509748897 + 4.1095754768774909526e-525j)  +/-  (4.48e-123, 4.48e-123j)
| (-6.1936934837963133401 + 1.0605292528088870334e-523j)  +/-  (2.34e-121, 2.34e-121j)
| (2.780138499509748897 + 6.8388280081646632041e-527j)  +/-  (4.23e-123, 4.23e-123j)
| (2.1515300901216484795 + 2.3828752799037962827e-529j)  +/-  (7.25e-124, 7.25e-124j)
| (-4.7509474830853766697 - 1.5458632870334516954e-528j)  +/-  (1.24e-121, 1.24e-121j)
| (1.5312157086954012062 - 2.5455522880935343459e-533j)  +/-  (7.69e-125, 7.69e-125j)
| (-2.1515300901216484795 + 1.4993369018873202803e-533j)  +/-  (6.16e-124, 6.16e-124j)
| (-4.0754272144122266022 + 7.9502829951342140436e-532j)  +/-  (5.73e-122, 5.73e-122j)
| (3.4201563739999792806 + 1.5142687291618762174e-537j)  +/-  (1.77e-122, 1.77e-122j)
| (0.91654504133862789419 - 8.6867122541069547433e-545j)  +/-  (8.47e-126, 8.47e-126j)
| (0.30515597075929801293 - 5.7069950954926318953e-546j)  +/-  (5.9e-127, 5.9e-127j)
| (-1.5312157086954012062 - 2.1229170836507637795e-546j)  +/-  (9.35e-125, 9.35e-125j)
| (-0.91654504133862789419 + 4.3204199048042885764e-548j)  +/-  (8.2e-126, 8.2e-126j)
| (-0.30515597075929801293 - 1.1481146031533013662e-547j)  +/-  (6.55e-127, 6.55e-127j)
-------------------------------------------------
The weights are:
| (3.4434136123081268523e-06 - 1.4018125251535147262e-482j)  +/-  (2.08e-37, 5.58e-98j)
| (1.3445476496635730192e-14 + 1.1824705989466766206e-487j)  +/-  (3.59e-43, 9.63e-104j)
| (2.4806942603936308147e-18 - 3.6629937395059147301e-490j)  +/-  (1.25e-45, 3.37e-106j)
| (1.4242932379880092971e-09 + 8.3186898598593228054e-485j)  +/-  (6.75e-41, 1.81e-101j)
| (1.3445476496635730192e-14 + 2.9218705657308084375e-488j)  +/-  (1.55e-44, 4.16e-105j)
| (9.986755573314586608e-08 - 1.430234341514509243e-483j)  +/-  (6.21e-40, 1.67e-100j)
| (8.2428094431638531144e-12 - 7.7776839629203008907e-487j)  +/-  (9.03e-44, 2.42e-104j)
| (0.00074420257636043386484 + 1.0617199062391842011e-482j)  +/-  (8.42e-39, 2.26e-99j)
| (2.4806942603936308147e-18 - 1.2005398371089849369e-489j)  +/-  (4.34e-46, 1.17e-106j)
| (8.2428094431638531144e-12 - 4.0812135790749515918e-486j)  +/-  (7.3e-43, 1.96e-103j)
| (9.986755573314586608e-08 - 9.8483372141497922818e-485j)  +/-  (4.28e-43, 1.15e-103j)
| (6.5575586943338403451e-05 + 3.812218766048471749e-482j)  +/-  (1.98e-40, 5.31e-101j)
| (0.0053021980156822443106 - 3.0747900812438135089e-482j)  +/-  (1.3e-39, 3.48e-100j)
| (1.4242932379880092971e-09 + 1.0965875045894343737e-485j)  +/-  (7.05e-44, 1.89e-104j)
| (0.0053021980156822443106 + 1.174974778035185298e-481j)  +/-  (4.15e-40, 1.11e-100j)
| (0.024597665657121181035 - 1.9187395720067704967e-481j)  +/-  (2.37e-39, 6.37e-100j)
| (3.4434136123081268523e-06 + 6.210541619960275841e-484j)  +/-  (5.11e-43, 1.37e-103j)
| (0.076229532206303023682 + 2.7270119421945596912e-481j)  +/-  (1.75e-39, 4.7e-100j)
| (0.024597665657121181035 + 7.2258185023364377824e-482j)  +/-  (6.93e-41, 1.86e-101j)
| (6.5575586943338403451e-05 - 2.9176543409316797252e-483j)  +/-  (1.7e-42, 4.55e-103j)
| (0.00074420257636043386484 - 6.5189972804757710942e-482j)  +/-  (1.1e-41, 2.96e-102j)
| (0.16058654561379458559 - 3.3235482761144136494e-481j)  +/-  (5.02e-40, 1.35e-100j)
| (0.23247073563007765645 + 3.4488964762274704365e-481j)  +/-  (2.42e-40, 6.52e-101j)
| (0.076229532206303023682 - 1.39764707337031705e-481j)  +/-  (3.09e-41, 8.31e-102j)
| (0.16058654561379458559 + 2.2485819911149339294e-481j)  +/-  (2.54e-41, 6.74e-102j)
| (0.23247073563007765645 - 3.0325872128357856213e-481j)  +/-  (3.13e-41, 8.46e-102j)
