Starting with polynomial:
P : t
Extension levels are: 1 24
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^25 - 300*t^23 + 37950*t^21 - 2656500*t^19 + 113565375*t^17 - 3088978200*t^15 + 54057118500*t^13 - 602350749000*t^11 + 4141161399375*t^9 - 16564645597500*t^7 + 34785755754750*t^5 - 31623414322500*t^3 + 7905853580625*t
-------------------------------------------------
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:   25 out of 25
Indefinite weights: 0 out of 25
Negative weights:   0 out of 25
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (5.2188480936442790379 - 9.2062003338349895451e-333j)  +/-  (9.95e-122, 9.95e-122j)
| (-8.7175976783995874384 + 1.0152564492051092686e-341j)  +/-  (7.32e-123, 7.32e-123j)
| (-7.6560379553930750416 + 3.6303411218347475472e-348j)  +/-  (3.98e-122, 3.98e-122j)
| (6.7674649638097166286 - 3.066117679616842539e-362j)  +/-  (9.31e-122, 9.31e-122j)
| (7.6560379553930750416 - 1.9370333725209352383e-378j)  +/-  (5.01e-122, 5.01e-122j)
| (2.514473303952205612 + 3.294082919984874551e-389j)  +/-  (1.92e-123, 1.92e-123j)
| (5.9660146906067021727 + 2.6644663254930925146e-392j)  +/-  (1.28e-121, 1.28e-121j)
| (8.7175976783995874384 - 2.0520805705455625396e-399j)  +/-  (6.58e-123, 6.58e-123j)
| (-4.5089299229672851876 + 6.7822662911500999724e-399j)  +/-  (5.45e-122, 5.45e-122j)
| (-6.7674649638097166286 + 2.8183398227395119856e-400j)  +/-  (8.72e-122, 8.72e-122j)
| (1.8770583699478386981 + 1.3430296192004365108e-403j)  +/-  (2.39e-124, 2.39e-124j)
| (-2.514473303952205612 + 1.4397741403229645461e-403j)  +/-  (1.68e-123, 1.68e-123j)
| (-3.8259005699724914861 - 9.051136623481032994e-402j)  +/-  (2.61e-122, 2.61e-122j)
| (-3.1627756793881925691 + 1.5319988624541034438e-406j)  +/-  (7.52e-123, 7.52e-123j)
| (4.5089299229672851876 - 2.7489996448144160508e-407j)  +/-  (5.79e-122, 5.79e-122j)
| (1.2473119756167893335 + 9.8801802208752291694e-419j)  +/-  (3.22e-125, 3.22e-125j)
| (0.62246227918607600987 - 2.9640540662625687508e-419j)  +/-  (1.63e-126, 1.63e-126j)
| (-5.9660146906067021727 - 9.7354098388621329207e-414j)  +/-  (1.36e-121, 1.36e-121j)
| (-0.62246227918607600987 + 1.903640119145541697e-419j)  +/-  (1.63e-126, 1.63e-126j)
| (-5.2188480936442790379 - 9.1802765304299664094e-414j)  +/-  (9.65e-122, 9.65e-122j)
| (3.1627756793881925691 - 2.3528400055716657306e-416j)  +/-  (7.61e-123, 7.61e-123j)
| (3.8259005699724914861 + 1.3936576267384165593e-431j)  +/-  (2.81e-122, 2.81e-122j)
| (-1.2473119756167893335 + 1.4520862185825270183e-441j)  +/-  (2.45e-125, 2.45e-125j)
| (-1.8770583699478386981 + 1.8262438622593288156e-443j)  +/-  (3.1e-124, 3.1e-124j)
| (-2.0379383777081653483e-447 - 4.1315294654511143949e-447j)  +/-  (1.15e-445, 1.15e-445j)
-------------------------------------------------
The weights are:
| (3.5301525602455047833e-07 + 8.4804433210879290658e-339j)  +/-  (1.78e-36, 3.92e-97j)
| (1.5300389979986994021e-17 + 1.5352403610551359419e-345j)  +/-  (3.52e-42, 7.75e-103j)
| (7.1021030370039778832e-14 - 1.1322106842960699394e-343j)  +/-  (7.1e-41, 1.56e-101j)
| (3.7911500004771696417e-11 - 2.1747966554067741739e-341j)  +/-  (2.97e-40, 6.55e-101j)
| (7.1021030370039778832e-14 + 5.9811029795411502131e-343j)  +/-  (7.89e-42, 1.74e-102j)
| (0.010856755991462304614 + 2.107464744949374617e-337j)  +/-  (1.28e-33, 2.83e-94j)
| (5.7380238688993723938e-09 + 5.5455022484260590292e-340j)  +/-  (1.81e-39, 3.98e-100j)
| (1.5300389979986994021e-17 - 6.1152687611922462907e-345j)  +/-  (9.34e-44, 2.06e-104j)
| (1.0672194905202563544e-05 - 1.8369205844041789674e-339j)  +/-  (8.91e-41, 1.96e-101j)
| (3.7911500004771696417e-11 + 2.809810467655040547e-342j)  +/-  (1.41e-43, 3.11e-104j)
| (0.043379970167645001027 - 3.4091229454022071928e-337j)  +/-  (1.86e-35, 4.1e-96j)
| (0.010856755991462304614 + 7.3698922279078310043e-338j)  +/-  (7.56e-38, 1.67e-98j)
| (0.0001777669069265263699 + 8.0631755124367166404e-339j)  +/-  (3.14e-40, 6.92e-101j)
| (0.0017578504052637938903 - 2.7361503153389743853e-338j)  +/-  (2.28e-39, 5.01e-100j)
| (1.0672194905202563544e-05 - 2.5170725891108717512e-338j)  +/-  (1.16e-41, 2.55e-102j)
| (0.11488092430395157108 + 4.6681263516852900511e-337j)  +/-  (6.64e-37, 1.46e-97j)
| (0.20485102565034048053 - 5.386166248702420725e-337j)  +/-  (6.25e-37, 1.38e-97j)
| (5.7380238688993723938e-09 - 3.704483571526944867e-341j)  +/-  (1.09e-43, 2.41e-104j)
| (0.20485102565034048053 - 4.2382439144136192166e-337j)  +/-  (6.93e-39, 1.53e-99j)
| (3.5301525602455047833e-07 + 3.1136460666674935615e-340j)  +/-  (9.27e-43, 2.04e-103j)
| (0.0017578504052637938903 - 1.1153976081106468608e-337j)  +/-  (2.65e-41, 5.85e-102j)
| (0.0001777669069265263699 + 5.2356168987886788411e-338j)  +/-  (5.76e-42, 1.27e-102j)
| (0.11488092430395157108 + 2.867178079517096837e-337j)  +/-  (1.7e-40, 3.79e-101j)
| (0.043379970167645001027 - 1.6055132750433274228e-337j)  +/-  (7.1e-41, 1.52e-101j)
| (0.24816935117648538028 + 5.2212750893155008998e-337j)  +/-  (1.76e-40, 4.85e-101j)
