Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 9 16
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Trying to find an order 9 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : t^11 - 619/7*t^9 + 15354/7*t^7 - 19566*t^5 + 59445*t^3 - 41985*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^27 - 1404816632737976992144487/4958190867002746465323*t^25 + 7593751857289589448719033902/223118589015123590939535*t^23 - 508357190274593659094868633334/223118589015123590939535*t^21 + 90824376169734906791948145379/965881337727807752985*t^19 - 26572855394364317336340731236277/10624694715005885282835*t^17 + 92586735641351849433436522252948/2124938943001177056567*t^15 - 351282979131046370019622161436012/708312981000392352189*t^13 + 233077560600955963550875088021761/64392089181853850199*t^11 - 1051284682597935170653095980698741/64392089181853850199*t^9 + 305923782003457511801954238527582/7154676575761538911*t^7 - 418388918684454414153686460814310/7154676575761538911*t^5 + 244738883346212509191217387702595/7154676575761538911*t^3 - 38108033685825223512125112772575/7154676575761538911*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:
| (5.0601186367949127444 - 3.9870725445461945552e-474j)  +/-  (3.36e-121, 3.36e-121j)
| (-6.5248856546139039585 + 7.5516948507618515358e-482j)  +/-  (2.25e-121, 2.25e-121j)
| (5.7673706844428981562 + 1.2684079913662384242e-482j)  +/-  (3.56e-121, 3.56e-121j)
| (-4.3862249342620953383 - 4.4729742038608522892e-484j)  +/-  (1.95e-121, 1.95e-121j)
| (-3.1255538604259774764 - 1.0617254392016504667e-486j)  +/-  (3.17e-122, 3.17e-122j)
| (8.390909421575291046 - 1.0622616641709442295e-485j)  +/-  (1.76e-122, 1.76e-122j)
| (-8.390909421575291046 + 4.3698145739869065727e-487j)  +/-  (1.67e-122, 1.67e-122j)
| (7.3693356610308432189 + 2.4301715608393332904e-485j)  +/-  (1.06e-121, 1.06e-121j)
| (-5.7673706844428981562 + 7.5956476363340139771e-489j)  +/-  (3.37e-121, 3.37e-121j)
| (-5.0601186367949127444 + 6.5763979960611251876e-492j)  +/-  (3.16e-121, 3.16e-121j)
| (2.0281536517888087075 - 8.8718129131046098122e-495j)  +/-  (2.2e-123, 2.2e-123j)
| (6.5248856546139039585 + 6.9203037233046016019e-492j)  +/-  (2.44e-121, 2.44e-121j)
| (3.7403111265352027048 + 3.2082296369796293323e-501j)  +/-  (1.07e-121, 1.07e-121j)
| (-5.9432471512425777814e-516 + 4.9935966277878028975e-516j)  +/-  (2.1e-514, 2.1e-514j)
| (4.3862249342620953383 + 1.7618068793622268154e-513j)  +/-  (2.04e-121, 2.04e-121j)
| (1.5205139522080706918 - 3.815462783601066463e-524j)  +/-  (3.63e-124, 3.63e-124j)
| (-1.5205139522080706918 - 1.1087888491941354218e-524j)  +/-  (3.63e-124, 3.63e-124j)
| (-0.48552167348247338496 + 4.8305763090974072452e-527j)  +/-  (2.69e-126, 2.69e-126j)
| (-1 + 4.5858927687512818065e-527j)  +/-  (3.34e-125, 3.34e-125j)
| (-7.3693356610308432189 - 1.4880816998699676128e-522j)  +/-  (1.06e-121, 1.06e-121j)
| (2.5529301070078956121 + 1.4849300527590942486e-522j)  +/-  (9.76e-123, 9.76e-123j)
| (1 - 5.0619869215473985209e-528j)  +/-  (3.34e-125, 3.34e-125j)
| (3.1255538604259774764 - 6.0122516144010617812e-528j)  +/-  (3.59e-122, 3.59e-122j)
| (-3.7403111265352027048 - 7.6638074652201996854e-533j)  +/-  (1.02e-121, 1.02e-121j)
| (-2.5529301070078956121 - 5.8589345777592428057e-536j)  +/-  (8.69e-123, 8.69e-123j)
| (-2.0281536517888087075 - 1.5450409589446099695e-541j)  +/-  (2.24e-123, 2.24e-123j)
| (0.48552167348247338496 - 5.2088238937349385664e-544j)  +/-  (3.78e-126, 3.78e-126j)
-------------------------------------------------
The weights are:
| (7.5690600704151714974e-07 + 9.4940929729026731996e-480j)  +/-  (2.23e-39, 2.32e-99j)
| (1.7990203499765152618e-10 + 1.6475215106565685567e-483j)  +/-  (5.83e-43, 6.07e-103j)
| (1.7392473320756836961e-08 + 4.2123325857423814292e-481j)  +/-  (4.47e-41, 4.66e-101j)
| (1.7482479245733528351e-05 - 2.3653728897172544488e-480j)  +/-  (4.94e-39, 5.15e-99j)
| (0.0017981846968307150364 - 7.4654290114236055265e-479j)  +/-  (6e-36, 6.25e-96j)
| (2.4258898316561959862e-16 - 2.0967787235256413667e-486j)  +/-  (1.68e-46, 1.74e-106j)
| (2.4258898316561959862e-16 + 5.192117045431758243e-487j)  +/-  (8.45e-47, 8.8e-107j)
| (5.8470651691671311399e-13 + 2.7836666155180383838e-484j)  +/-  (4.95e-45, 5.16e-105j)
| (1.7392473320756836961e-08 - 2.7514974044838781292e-482j)  +/-  (1.8e-42, 1.87e-102j)
| (7.5690600704151714974e-07 + 2.981984590788687387e-481j)  +/-  (2.59e-41, 2.7e-101j)
| (0.025916255200745409285 - 2.0414549981850298923e-477j)  +/-  (5e-37, 5.2e-97j)
| (1.7990203499765152618e-10 - 1.3030429396756138568e-482j)  +/-  (1.93e-44, 2.01e-104j)
| (0.0002309128838846659667 + 9.8355876055296412831e-479j)  +/-  (1.78e-41, 1.85e-101j)
| (0.19013874020201802642 - 6.691305290057784008e-477j)  +/-  (2.2e-36, 2.29e-96j)
| (1.7482479245733528351e-05 - 3.3156749526782274534e-479j)  +/-  (3.88e-42, 4.04e-102j)
| (0.064479416017607944625 + 3.5246003433558082023e-477j)  +/-  (1.11e-37, 1.16e-97j)
| (0.064479416017607944625 + 1.8958195483271834925e-477j)  +/-  (1.18e-38, 1.23e-98j)
| (0.1774688952996270904 + 5.320882195086042558e-477j)  +/-  (1.41e-36, 1.46e-96j)
| (0.12662446928692761045 - 3.4052650261660494781e-477j)  +/-  (6.62e-37, 6.89e-97j)
| (5.8470651691671311399e-13 - 5.1716592751364543511e-485j)  +/-  (7.95e-48, 8.28e-108j)
| (0.0083942395551544711227 + 9.0652506207887536255e-478j)  +/-  (1.18e-40, 1.22e-100j)
| (0.12662446928692761045 - 5.0826864626122167963e-477j)  +/-  (1.38e-39, 1.44e-99j)
| (0.0017981846968307150364 - 3.1588271141663309052e-478j)  +/-  (2.15e-41, 2.24e-101j)
| (0.0002309128838846659667 + 1.4750509725002008168e-479j)  +/-  (1.78e-43, 1.85e-103j)
| (0.0083942395551544711227 + 2.9854389746906924209e-478j)  +/-  (1.46e-42, 1.52e-102j)
| (0.025916255200745409285 - 8.7321985279359442944e-478j)  +/-  (4.76e-42, 4.91e-102j)
| (0.1774688952996270904 + 6.4503384697836393772e-477j)  +/-  (4.8e-41, 5.62e-101j)
