Starting with polynomial:
P : 2*t
Extension levels are: 1 4 18
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^23 - 154028215/706483*t^21 + 97087532397/9890762*t^19 - 4731252474717/19781524*t^17 + 68761624678713/19781524*t^15 - 177206450154795/5651864*t^13 + 2002761859364955/11303728*t^11 - 13977365164145955/22607456*t^9 + 115420594516104735/90429824*t^7 - 257825863066755555/180859648*t^5 + 259058096034598575/361719296*t^3 - 74457659847574575/723438592*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
-------------------------------------------------
The nodes are:
| (-1.8889267722148321816 + 7.4494345569838664585e-446j)  +/-  (1.44e-122, 1.44e-122j)
| (4.124809739624107931 + 2.5246144844160330385e-449j)  +/-  (2.73e-122, 2.73e-122j)
| (-4.124809739624107931 + 3.0374309779218750473e-453j)  +/-  (2.53e-122, 2.53e-122j)
| (5.5521998642106385552 + 1.2365937488889902352e-454j)  +/-  (2.68e-123, 2.68e-123j)
| (4.7762541867181532301 + 1.2822507843715548438e-460j)  +/-  (1.27e-122, 1.27e-122j)
| (-5.5521998642106385552 - 5.3759684956806333206e-464j)  +/-  (2.6e-123, 2.6e-123j)
| (-4.7762541867181532301 - 7.6210620747058097229e-463j)  +/-  (1.21e-122, 1.21e-122j)
| (-1.4416678172548490108 - 1.381342823548650719e-463j)  +/-  (7.66e-124, 7.66e-124j)
| (-2.9852917941986451008 + 2.045248344131575092e-462j)  +/-  (2.68e-122, 2.68e-122j)
| (2.9852917941986451008 + 7.3455531852427607803e-463j)  +/-  (2.55e-122, 2.55e-122j)
| (1.4416678172548490108 - 6.2935335377723205485e-468j)  +/-  (7.53e-124, 7.53e-124j)
| (-0.95857246461381850711 + 7.2754861663142389369e-473j)  +/-  (5.51e-125, 5.51e-125j)
| (-2.463541632042840416 - 8.7239800409820527311e-471j)  +/-  (2.21e-122, 2.21e-122j)
| (-3.5356445312300733887 + 2.6639835246251423997e-471j)  +/-  (3.27e-122, 3.27e-122j)
| (2.463541632042840416 - 4.887240029878873139e-471j)  +/-  (1.94e-122, 1.94e-122j)
| (1.8889267722148321816 + 1.5313495170708282063e-479j)  +/-  (1.51e-122, 1.51e-122j)
| (2.0201828704560856329 - 1.1186524585057318311e-492j)  +/-  (2.21e-122, 2.21e-122j)
| (-2.0201828704560856329 - 1.4435735548518442296e-498j)  +/-  (2.57e-122, 2.57e-122j)
| (-0.47826782551656933192 - 1.8464510546380834294e-504j)  +/-  (2.69e-126, 2.69e-126j)
| (3.5356445312300733887 + 6.4688046406959247191e-509j)  +/-  (3.02e-122, 3.02e-122j)
| (0.95857246461381850711 + 2.0981142968087676723e-516j)  +/-  (5.29e-125, 5.29e-125j)
| (0.47826782551656933192 - 7.4449216983536917404e-517j)  +/-  (2.69e-126, 2.69e-126j)
| (-1.5498128375709344955e-577 + 3.0864637826784215643e-577j)  +/-  (7.94e-576, 7.94e-576j)
-------------------------------------------------
The weights are:
| (0.0046992331789391184319 - 1.6563685776768862944e-447j)  +/-  (5.12e-34, 2.25e-94j)
| (1.4158496352114096554e-08 - 3.0919447908314822491e-453j)  +/-  (7.77e-42, 3.41e-102j)
| (1.4158496352114096554e-08 + 8.3116298135943985986e-453j)  +/-  (2.22e-42, 9.77e-103j)
| (2.0554843234770831432e-14 - 1.4683938108556112145e-456j)  +/-  (4.01e-45, 1.76e-105j)
| (4.8658054559760326741e-11 + 1.1345713776274127613e-454j)  +/-  (1.73e-43, 7.59e-104j)
| (2.0554843234770831432e-14 + 2.9829936568661835311e-456j)  +/-  (3.23e-46, 1.42e-106j)
| (4.8658054559760326741e-11 - 2.6195729358203039598e-454j)  +/-  (1.23e-44, 5.39e-105j)
| (0.034100896831335327527 - 4.7253900194369466223e-448j)  +/-  (3.34e-37, 1.47e-97j)
| (4.0696663602777153359e-05 + 2.3607405866999626315e-450j)  +/-  (8.98e-42, 3.95e-102j)
| (4.0696663602777153359e-05 - 5.3105005027162796619e-451j)  +/-  (2.96e-43, 1.3e-103j)
| (0.034100896831335327527 - 6.3457744163176714467e-449j)  +/-  (1.82e-39, 8.02e-100j)
| (0.10846502447883187455 + 2.4697273084990016796e-448j)  +/-  (1.04e-38, 4.58e-99j)
| (0.00066208586673266750176 - 4.1192455662750782076e-449j)  +/-  (4.45e-41, 1.95e-101j)
| (1.191624619778122611e-06 - 1.5751241671208023248e-451j)  +/-  (5.29e-43, 2.33e-103j)
| (0.00066208586673266750176 + 5.4385299065547332738e-450j)  +/-  (5.2e-43, 2.28e-103j)
| (0.0046992331789391184319 + 9.2665761799218128305e-449j)  +/-  (3.19e-42, 1.4e-102j)
| (0.0022353376197031566388 - 6.7977471753255992128e-449j)  +/-  (1.87e-42, 8.21e-103j)
| (0.0022353376197031566388 + 2.0244528986270059407e-447j)  +/-  (2.98e-42, 1.31e-102j)
| (0.21497910121050010098 - 1.8593854144670591013e-448j)  +/-  (4.29e-42, 1.89e-102j)
| (1.191624619778122611e-06 + 4.7824147600396295423e-452j)  +/-  (5.74e-46, 2.52e-106j)
| (0.10846502447883187455 + 8.069372122078294176e-449j)  +/-  (7.14e-43, 3.13e-103j)
| (0.21497910121050010098 - 1.1080525282573483545e-448j)  +/-  (3.83e-43, 1.65e-103j)
| (0.26963283663712047516 + 1.4633032810195983848e-448j)  +/-  (3.54e-43, 1.61e-103j)
