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 - 25/4*t^23 + 275/16*t^21 - 875/32*t^19 + 7125/256*t^17 - 4845/256*t^15 + 8925/1024*t^13 - 5525/2048*t^11 + 17875/32768*t^9 - 17875/262144*t^7 + 5005/1048576*t^5 - 325/2097152*t^3 + 25/16777216*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:
| (-3.6896651945651071687e-445 - 1.3057437262204108123e-445j)  +/-  (9.78e-444, 9.78e-444j)
| (-0.58778525229247312917 - 1.4042970293964859146e-438j)  +/-  (1.79e-122, 1.79e-122j)
| (-0.90482705246601952771 - 1.9149770356883794872e-435j)  +/-  (4.67e-120, 4.67e-120j)
| (0.99802672842827156195 + 1.4934104045329548014e-440j)  +/-  (3.66e-120, 3.66e-120j)
| (0.90482705246601952771 - 8.9543664030499610712e-444j)  +/-  (5.82e-120, 5.82e-120j)
| (0.58778525229247312917 + 3.9816402809609792657e-448j)  +/-  (1.67e-122, 1.67e-122j)
| (0.24868988716485478824 + 3.3362172598214183463e-450j)  +/-  (1.18e-125, 1.18e-125j)
| (-0.84432792550201507855 - 3.0468818106791887563e-446j)  +/-  (2.16e-120, 2.16e-120j)
| (0.98228725072868868109 + 1.6120684606864456387e-451j)  +/-  (7.83e-120, 7.83e-120j)
| (-0.99802672842827156195 + 4.8428822212525687123e-455j)  +/-  (3.51e-120, 3.51e-120j)
| (0.84432792550201507855 - 8.481545465528305282e-468j)  +/-  (2.26e-120, 2.26e-120j)
| (0.36812455268467795916 - 2.0484797532973131549e-471j)  +/-  (1.67e-124, 1.67e-124j)
| (-0.95105651629515357212 - 9.1644939804367468465e-472j)  +/-  (7.83e-120, 7.83e-120j)
| (-0.68454710592868867373 - 1.0214048823796962158e-485j)  +/-  (1.37e-121, 1.37e-121j)
| (-0.24868988716485478824 - 3.243440914128277902e-491j)  +/-  (9.67e-126, 9.67e-126j)
| (0.68454710592868867373 - 3.4566509269181612626e-488j)  +/-  (1.23e-121, 1.23e-121j)
| (0.95105651629515357212 + 3.0057601034283078722e-485j)  +/-  (9.87e-120, 9.87e-120j)
| (-0.12533323356430424537 + 9.5312685253621182421e-494j)  +/-  (4.47e-127, 4.47e-127j)
| (-0.7705132427757892308 + 8.3710556484498204485e-486j)  +/-  (5.82e-121, 5.82e-121j)
| (-0.98228725072868868109 + 1.4722768935221800421e-494j)  +/-  (1.04e-119, 1.04e-119j)
| (0.48175367410171527499 - 1.1826184713597851035e-501j)  +/-  (2.16e-123, 2.16e-123j)
| (0.7705132427757892308 + 9.9483291659358656306e-503j)  +/-  (7.48e-121, 7.48e-121j)
| (0.12533323356430424537 - 2.4985785300341905138e-510j)  +/-  (4.47e-127, 4.47e-127j)
| (-0.36812455268467795916 - 1.0910645009043626186e-505j)  +/-  (1.42e-124, 1.42e-124j)
| (-0.48175367410171527499 + 1.7359028382209542651e-505j)  +/-  (2.01e-123, 2.01e-123j)
-------------------------------------------------
The weights are:
| (0.04 + 1.9893471756690701895e-436j)  +/-  (1.83e-41, 2.47e-99j)
| (0.04 - 4.5909167233244125846e-436j)  +/-  (1.07e-41, 1.44e-99j)
| (0.04 - 1.9106156645433274721e-436j)  +/-  (3.56e-42, 4.81e-100j)
| (0.04 + 5.8636044528731117955e-438j)  +/-  (1.18e-42, 1.6e-100j)
| (0.04 - 4.2304366116443790813e-437j)  +/-  (7.21e-43, 9.74e-101j)
| (0.04 - 9.7539130828532496386e-437j)  +/-  (5.27e-43, 7.12e-101j)
| (0.04 + 1.5112896363215292531e-436j)  +/-  (6.61e-43, 8.93e-101j)
| (0.04 + 1.5932138135368673279e-435j)  +/-  (2.88e-43, 3.89e-101j)
| (0.04 - 1.775854981499198909e-437j)  +/-  (2.44e-43, 3.29e-101j)
| (0.04 - 1.212154142295901336e-436j)  +/-  (4.37e-45, 5.9e-103j)
| (0.04 + 5.5103407350306032727e-437j)  +/-  (1.31e-43, 1.77e-101j)
| (0.04 - 1.3145661447257285261e-436j)  +/-  (2.35e-43, 3.18e-101j)
| (0.04 - 1.202608886215590748e-435j)  +/-  (1.88e-44, 2.54e-102j)
| (0.04 + 5.9482354651605194836e-436j)  +/-  (1.62e-44, 2.19e-102j)
| (0.04 + 2.6576233268426526867e-436j)  +/-  (6.12e-45, 8.27e-103j)
| (0.04 + 8.253052915149971474e-437j)  +/-  (7.31e-45, 9.87e-103j)
| (0.04 + 2.9906450843062275927e-437j)  +/-  (1.13e-44, 1.53e-102j)
| (0.04 - 2.2911564134591371723e-436j)  +/-  (4.97e-45, 6.71e-103j)
| (0.04 - 8.535359103266159956e-436j)  +/-  (2.86e-45, 3.87e-103j)
| (0.04 + 4.3523169190218731586e-436j)  +/-  (1.44e-45, 1.95e-103j)
| (0.04 + 1.1373799579447973174e-436j)  +/-  (1.94e-45, 2.62e-103j)
| (0.04 - 6.8454497728044453097e-437j)  +/-  (1.9e-45, 2.57e-103j)
| (0.04 - 1.7334490162470526331e-436j)  +/-  (6.87e-46, 9.28e-104j)
| (0.04 - 3.1194949815530819739e-436j)  +/-  (5.96e-47, 8.07e-105j)
| (0.04 + 3.7319959621443097079e-436j)  +/-  (5.06e-47, 6.82e-105j)
