Starting with polynomial:
P : -1/15511210043330985984000000*t^25 + 1/24817936069329577574400*t^24 - 1/86173389129616588800*t^23 + 23/11240007277776076800*t^22 - 23/92892622130380800*t^21 + 23/1053204332544000*t^20 - 23/15798064988160*t^19 + 437/5820339732480*t^18 - 437/143712092160*t^17 + 7429/76082872320*t^16 - 7429/2971987200*t^15 + 7429/145297152*t^14 - 7429/8895744*t^13 + 7429/684288*t^12 - 7429/66528*t^11 + 81719/90720*t^10 - 408595/72576*t^9 + 24035/896*t^8 - 24035/252*t^7 + 8855/36*t^6 - 1771/4*t^5 + 6325/12*t^4 - 1150/3*t^3 + 150*t^2 - 25*t + 1
Extension levels are: 25
-------------------------------------------------
Ending with final polynomial:
P : -1/15511210043330985984000000*t^25 + 1/24817936069329577574400*t^24 - 1/86173389129616588800*t^23 + 23/11240007277776076800*t^22 - 23/92892622130380800*t^21 + 23/1053204332544000*t^20 - 23/15798064988160*t^19 + 437/5820339732480*t^18 - 437/143712092160*t^17 + 7429/76082872320*t^16 - 7429/2971987200*t^15 + 7429/145297152*t^14 - 7429/8895744*t^13 + 7429/684288*t^12 - 7429/66528*t^11 + 81719/90720*t^10 - 408595/72576*t^9 + 24035/896*t^8 - 24035/252*t^7 + 8855/36*t^6 - 1771/4*t^5 + 6325/12*t^4 - 1150/3*t^3 + 150*t^2 - 25*t + 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: 0
  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:
| (85.260155562495958318 - 1.7172335578741486882e-342j)  +/-  (6.29e-118, 6.29e-118j)
| (50.264574993833539293 - 1.0247836418526484477e-349j)  +/-  (4.39e-115, 4.39e-115j)
| (56.864967173940176285 + 7.1182151502115522358e-359j)  +/-  (1.89e-115, 1.89e-115j)
| (64.466670615954134772 - 5.1187280465135714133e-364j)  +/-  (5.29e-116, 5.29e-116j)
| (73.534234792100149085 + 2.1986891111019134079e-367j)  +/-  (8.93e-117, 8.93e-117j)
| (5.9290837627004479276 - 7.6101553601401008287e-373j)  +/-  (5.03e-119, 5.03e-119j)
| (22.775241986835040983 + 5.7221814851186102832e-368j)  +/-  (3.74e-115, 3.74e-115j)
| (39.190608803937420856 + 2.2266990503892576757e-378j)  +/-  (1.04e-114, 1.04e-114j)
| (16.647125597288782691 - 7.8385411318044486264e-387j)  +/-  (7.46e-116, 7.46e-116j)
| (34.47109757192203444 + 4.9389592856297891899e-390j)  +/-  (1.14e-114, 1.14e-114j)
| (2.2013260537214675585 + 4.3317975659136368581e-405j)  +/-  (5.87e-122, 5.87e-122j)
| (7.5998993099567497453 + 2.0253620427476957461e-400j)  +/-  (3.04e-118, 3.04e-118j)
| (19.562898011469057138 - 9.3353479809985695838e-397j)  +/-  (1.77e-115, 1.77e-115j)
| (14.007957976545067645 - 6.7209020949741072994e-400j)  +/-  (2.32e-116, 2.32e-116j)
| (9.4967492209324344789 - 7.0166666850794312839e-404j)  +/-  (1.56e-117, 1.56e-117j)
| (0.29901089858698855075 + 2.1081671669240147465e-412j)  +/-  (1.02e-125, 1.02e-125j)
| (11.629014911778752682 - 1.4210933645855622348e-401j)  +/-  (7.24e-117, 7.24e-117j)
| (30.194291163316105191 - 1.5667253058472794973e-402j)  +/-  (1.01e-114, 1.01e-114j)
| (4.4764966150738342158 + 2.4831707244673790888e-423j)  +/-  (6.49e-120, 6.49e-120j)
| (26.308772390968886822 - 3.2807623455731065996e-423j)  +/-  (6.87e-115, 6.87e-115j)
| (0.05670477545270547628 - 2.1407689154187192761e-450j)  +/-  (1.83e-127, 1.83e-127j)
| (1.3691831160351937021 - 1.0404633364243492308e-446j)  +/-  (5.6e-123, 5.6e-123j)
| (3.2356758035580372288 + 2.6695041193182668061e-443j)  +/-  (7.16e-121, 7.16e-121j)
| (44.422349336162018809 + 7.9893267801809145528e-446j)  +/-  (7.96e-115, 7.96e-115j)
| (0.73590955543501610544 - 3.4471161881378959597e-469j)  +/-  (2.76e-124, 2.76e-124j)
-------------------------------------------------
The weights are:
| (1.3158315000591255001e-36 + 9.8410167315409319376e-379j)  +/-  (2.14e-39, 1.64e-95j)
| (9.1649543959911408166e-22 + 4.7334607443713602699e-371j)  +/-  (2.46e-34, 1.88e-90j)
| (1.4189400094972227524e-24 + 5.2804000363063908109e-373j)  +/-  (1.2e-35, 9.22e-92j)
| (8.273651944099207197e-28 - 4.7464667059506234235e-375j)  +/-  (3.24e-37, 2.49e-93j)
| (1.168881711542765066e-31 + 1.7939845730330110562e-378j)  +/-  (9.08e-39, 6.97e-95j)
| (0.0041524146328770739675 - 1.9706166380831604068e-363j)  +/-  (3.21e-20, 2.46e-76j)
| (4.3277207941849261396e-10 + 1.919341531414967058e-366j)  +/-  (7.47e-31, 5.73e-87j)
| (4.7358853648072365296e-17 + 1.9018690015722107258e-369j)  +/-  (1.45e-34, 1.11e-90j)
| (1.6346520222911416856e-07 + 2.6601554928947049429e-365j)  +/-  (1.52e-29, 1.17e-85j)
| (4.8026148226042049726e-15 - 1.2982444147364919977e-368j)  +/-  (5.1e-34, 3.91e-90j)
| (0.10319984810752066236 + 5.5636522793319195682e-363j)  +/-  (6.69e-19, 5.13e-75j)
| (0.00089209907325968119114 + 1.0707041358516592004e-363j)  +/-  (1.15e-25, 8.78e-82j)
| (9.7660150621244776324e-09 - 7.6492113696967876549e-366j)  +/-  (1.14e-30, 8.75e-87j)
| (2.0677743964318778566e-06 - 8.1069586653253640558e-365j)  +/-  (2.3e-29, 1.76e-85j)
| (0.00015115601916424056867 - 5.1335989396898552131e-364j)  +/-  (4.01e-28, 3.08e-84j)
| (0.25164527376491023565 - 3.0911038870988154557e-363j)  +/-  (1.64e-24, 1.26e-80j)
| (2.0065531801932957335e-05 + 2.1726987100714977763e-364j)  +/-  (5.73e-29, 4.4e-85j)
| (3.1389227925399255267e-13 + 7.9048979167848843447e-368j)  +/-  (7.43e-35, 5.7e-91j)
| (0.015305232886395433371 + 3.192743566686166881e-363j)  +/-  (1.47e-28, 1.12e-84j)
| (1.3896009633894943673e-11 - 4.1845399332990426017e-367j)  +/-  (5.2e-34, 3.99e-90j)
| (0.13752601422934434355 + 9.9076270812219405665e-364j)  +/-  (1.27e-27, 9.73e-84j)
| (0.18621549036243641491 - 5.8029890945239160719e-363j)  +/-  (2.43e-28, 1.86e-84j)
| (0.044714161129933530283 - 4.5284890859198825236e-363j)  +/-  (6.35e-29, 4.87e-85j)
| (2.8142053798430262038e-19 - 2.8329992898873719879e-370j)  +/-  (5.28e-38, 4.05e-94j)
| (0.25617600280975589649 + 4.9319746611895919852e-363j)  +/-  (1.68e-28, 1.28e-84j)
