Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 24
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Trying to find an order 24 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8*t^27 - 110012724396/81781733*t^25 + 7890292174500/81781733*t^23 - 28863581740650/7434703*t^21 + 1442754782650125/14869406*t^19 - 46859866117931475/29738812*t^17 + 251472605792295825/14869406*t^15 - 3561089553744699375/29738812*t^13 + 130653510803593493625/237910496*t^11 - 748149899512544904375/475820992*t^9 + 1256151019405633225875/475820992*t^7 - 2225297873951127100125/951641984*t^5 + 3420815427182802796875/3806567936*t^3 - 722954091795475483125/7613135872*t
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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:   27 out of 27
Indefinite weights: 0 out of 27
Negative weights:   0 out of 27
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (5.6131409075049521668 - 6.7534714136327055385e-407j)  +/-  (9.63e-122, 9.63e-122j)
| (-3.4339864665324553151 - 8.1467330313300224871e-404j)  +/-  (2.48e-121, 2.48e-121j)
| (-3.923045741123619096 + 1.605315454146673857e-406j)  +/-  (3.8e-121, 3.8e-121j)
| (3.923045741123619096 + 3.6861953045431235511e-407j)  +/-  (3.69e-121, 3.69e-121j)
| (-1.6446710914239227952 + 2.8801796396949951053e-414j)  +/-  (2.21e-123, 2.21e-123j)
| (3.4339864665324553151 + 4.3886500106613993764e-420j)  +/-  (2.5e-121, 2.5e-121j)
| (2.5130190877630164167 + 5.0080960214079201741e-428j)  +/-  (4.57e-122, 4.57e-122j)
| (-2.0734994687155228345 + 6.0861775849825819891e-433j)  +/-  (1.03e-122, 1.03e-122j)
| (-5.6131409075049521668 - 1.5010805871189239993e-434j)  +/-  (9.86e-122, 9.86e-122j)
| (-6.3529020978053916437 - 4.4990286241836234542e-436j)  +/-  (1.61e-122, 1.61e-122j)
| (4.995370051746128605 + 7.6242735915513110509e-435j)  +/-  (2.64e-121, 2.64e-121j)
| (6.3529020978053916437 - 1.7259873477888809408e-437j)  +/-  (1.56e-122, 1.56e-122j)
| (-2.5130190877630164167 + 1.6547597811490089744e-434j)  +/-  (4.67e-122, 4.67e-122j)
| (2.0734994687155228345 + 1.4106486070809856148e-437j)  +/-  (1.19e-122, 1.19e-122j)
| (1.6446710914239227952 + 2.7479981308594639611e-442j)  +/-  (2.06e-123, 2.06e-123j)
| (-4.4396094667350838287 - 2.3153498611706240738e-441j)  +/-  (4.12e-121, 4.12e-121j)
| (-1.2247448713915890491 - 3.3156023466126242922e-444j)  +/-  (3.16e-124, 3.16e-124j)
| (-4.995370051746128605 - 9.4981841578709201154e-446j)  +/-  (2.89e-121, 2.89e-121j)
| (-0.81203402578278240665 + 1.5641633218664552521e-449j)  +/-  (3.94e-125, 3.94e-125j)
| (1.2247448713915890491 - 2.0411814595557353512e-450j)  +/-  (3.3e-124, 3.3e-124j)
| (4.4396094667350838287 + 2.4428436406152691005e-453j)  +/-  (3.88e-121, 3.88e-121j)
| (-2.9654809429383333195 - 5.66366411570894867e-458j)  +/-  (1.07e-121, 1.07e-121j)
| (2.9654809429383333195 + 3.891673849639040657e-464j)  +/-  (1.19e-121, 1.19e-121j)
| (5.3940006352006247314e-472 - 3.1492360476659261286e-471j)  +/-  (8.63e-470, 8.63e-470j)
| (-0.4045966796007293286 + 1.5683920000147881564e-471j)  +/-  (2.79e-126, 2.79e-126j)
| (0.4045966796007293286 - 4.1129490677640300506e-472j)  +/-  (2.21e-126, 2.21e-126j)
| (0.81203402578278240665 - 1.2540485474676163873e-473j)  +/-  (3.45e-125, 3.45e-125j)
-------------------------------------------------
The weights are:
| (7.7470967757522276351e-15 - 7.647833493349674936e-415j)  +/-  (2e-42, 1.24e-102j)
| (2.0390311928307414518e-06 - 6.0508874924010256614e-409j)  +/-  (3.08e-37, 1.9e-97j)
| (5.8568702959685755102e-08 - 5.2126426995791272883e-410j)  +/-  (9.69e-39, 5.98e-99j)
| (5.8568702959685755102e-08 + 3.4599701724594548992e-411j)  +/-  (1.78e-39, 1.1e-99j)
| (0.016001156982222232635 - 1.2264132804367853521e-407j)  +/-  (2.06e-31, 1.27e-91j)
| (2.0390311928307414518e-06 - 2.4166391643532021243e-410j)  +/-  (2.53e-38, 1.56e-98j)
| (0.00045461698830930370972 - 5.1012521767912958517e-409j)  +/-  (5.8e-36, 3.58e-96j)
| (0.003323212470198817382 + 6.6699694765388146631e-408j)  +/-  (2.46e-34, 1.52e-94j)
| (7.7470967757522276351e-15 + 3.1741621560660548772e-414j)  +/-  (8.46e-45, 5.22e-105j)
| (1.423683984461031001e-18 - 2.8797770106697836715e-416j)  +/-  (2.23e-46, 1.37e-106j)
| (4.7714035764087684887e-12 + 2.2512495690164327524e-413j)  +/-  (7.1e-44, 4.38e-104j)
| (1.423683984461031001e-18 + 8.5908055286692222608e-417j)  +/-  (6.99e-47, 4.31e-107j)
| (0.00045461698830930370972 - 3.2948628285122369886e-408j)  +/-  (1.01e-38, 6.22e-99j)
| (0.003323212470198817382 + 1.6473769101306539155e-408j)  +/-  (3.13e-38, 1.93e-98j)
| (0.016001156982222232635 - 4.3204100771651285063e-408j)  +/-  (2.12e-37, 1.31e-97j)
| (8.2919408601965262747e-10 + 2.7407906142913262559e-411j)  +/-  (1.21e-43, 7.49e-104j)
| (0.052372743714235939715 + 1.9632189420690697365e-407j)  +/-  (8.97e-38, 5.53e-98j)
| (4.7714035764087684887e-12 - 1.2148100295699947446e-412j)  +/-  (7.24e-45, 4.46e-105j)
| (0.11954508376676286131 - 2.687125453410486983e-407j)  +/-  (4.56e-39, 2.83e-99j)
| (0.052372743714235939715 + 9.3091577414072977916e-408j)  +/-  (6.62e-39, 4.08e-99j)
| (8.2919408601965262747e-10 - 3.5037420253252772234e-412j)  +/-  (4.29e-44, 2.64e-104j)
| (3.9340839424124639326e-05 + 1.7217378569689030591e-408j)  +/-  (2.1e-41, 1.3e-101j)
| (3.9340839424124639326e-05 + 1.2599841750591249642e-409j)  +/-  (1.62e-41, 1e-101j)
| (0.22799266607246330142 - 3.0245218146990380334e-407j)  +/-  (5.32e-40, 3.28e-100j)
| (0.19426541376874604136 + 3.1113543291515326885e-407j)  +/-  (2.43e-40, 1.65e-100j)
| (0.19426541376874604136 + 2.4554068499690398862e-407j)  +/-  (1.97e-40, 1.18e-100j)
| (0.11954508376676286131 - 1.6592410244997773983e-407j)  +/-  (1.07e-40, 6.36e-101j)
