Starting with polynomial:
P : t^14 - 91*t^12 + 3003*t^10 - 45045*t^8 + 315315*t^6 - 945945*t^4 + 945945*t^2 - 135135
Extension levels are: 14 23
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Trying to find an order 23 Kronrod extension for:
P1 : t^14 - 91*t^12 + 3003*t^10 - 45045*t^8 + 315315*t^6 - 945945*t^4 + 945945*t^2 - 135135
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^37 - 40243068450863219/78551395560600*t^35 + 18239592590560303963/157102791121200*t^33 - 19680412968642080963/1277258464400*t^31 + 14000229524766081142007/10473519408080*t^29 - 839401609855815321987749/10473519408080*t^27 + 35869050281021216045621373/10473519408080*t^25 - 1110753871916859891386093043/10473519408080*t^23 + 25107586095815992631619258579/10473519408080*t^21 - 82849097194393252947394271409/2094703881616*t^19 + 991175151168988506473167308663/2094703881616*t^17 - 8485030911728304861728778933417/2094703881616*t^15 + 50889935260842279141829487335137/2094703881616*t^13 - 207255404835193770890404032193731/2094703881616*t^11 + 547450487221425378183604960263315/2094703881616*t^9 - 875167210762521393283778693086605/2094703881616*t^7 + 757713236737960257360759158450445/2094703881616*t^5 - 291017635011143977483922074044345/2094703881616*t^3 + 7867173324775652851201622899515/523675970404*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: 0
  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:
| (-6.7401390601264068537 - 1.9347553909019187172e-468j)  +/-  (3.4e-119, 3.4e-119j)
| (10.05932155810842934 + 8.4177161219479789159e-476j)  +/-  (2.79e-121, 2.79e-121j)
| (9.0393182062261797654 - 2.5278539698332165603e-474j)  +/-  (2.37e-120, 2.37e-120j)
| (5.4727919248681198468 - 3.1319007573899897907e-471j)  +/-  (3.64e-119, 3.64e-119j)
| (-8.1932438930565410864 - 2.4334914872596150374e-472j)  +/-  (1.02e-119, 1.02e-119j)
| (-9.0393182062261797654 + 1.6333705127658527531e-475j)  +/-  (2.56e-120, 2.56e-120j)
| (3.8869245750597693838 + 1.6306104288630081481e-475j)  +/-  (9.4e-120, 9.4e-120j)
| (-10.05932155810842934 - 5.5093264864764241204e-478j)  +/-  (2.95e-121, 2.95e-121j)
| (-2.9630365798386675025 + 5.2151911293318692048e-476j)  +/-  (8.64e-121, 8.64e-121j)
| (8.1932438930565410864 - 7.8495913549773523742e-476j)  +/-  (1.1e-119, 1.1e-119j)
| (2.5105116616412210682 + 8.2427340670700545201e-478j)  +/-  (2.2e-121, 2.2e-121j)
| (1.6719436920501969199 + 1.6430291617783561689e-478j)  +/-  (5.84e-123, 5.84e-123j)
| (-4.8969363973455646837 + 1.4739387822918256362e-475j)  +/-  (2.57e-119, 2.57e-119j)
| (-2.5105116616412210682 + 4.8421874030161821548e-486j)  +/-  (2.07e-121, 2.07e-121j)
| (-4.3673753373856031357 - 1.7828930598424089053e-483j)  +/-  (1.81e-119, 1.81e-119j)
| (2.9630365798386675025 + 2.0120594502665123906e-490j)  +/-  (8.35e-121, 8.35e-121j)
| (6.0874095469012913223 + 2.250660828328551739e-490j)  +/-  (4.13e-119, 4.13e-119j)
| (-5.4727919248681198468 + 2.1839536572030118042e-495j)  +/-  (3.56e-119, 3.56e-119j)
| (-3.4274481132357166248 + 4.1538449276168926582e-504j)  +/-  (3.14e-120, 3.14e-120j)
| (-1.6719436920501969199 + 1.704252558550976628e-512j)  +/-  (5.78e-123, 5.78e-123j)
| (-7.4372156730023332067 + 4.9545331236365410769e-511j)  +/-  (2.36e-119, 2.36e-119j)
| (0.82105149931113779054 - 9.5764477739614310463e-525j)  +/-  (5.14e-125, 5.14e-125j)
| (4.8969363973455646837 + 3.5142125945082359516e-519j)  +/-  (2.65e-119, 2.65e-119j)
| (-3.8869245750597693838 - 1.7060695828940639704e-518j)  +/-  (9.15e-120, 9.15e-120j)
| (7.4372156730023332067 + 4.3578517964410398116e-520j)  +/-  (2.2e-119, 2.2e-119j)
| (4.3673753373856031357 + 1.4441390721148380149e-521j)  +/-  (1.83e-119, 1.83e-119j)
| (2.088344745701944171 + 1.5464596069824084476e-526j)  +/-  (3.86e-122, 3.86e-122j)
| (1.242688955485464179 + 2.3651930709334708115e-527j)  +/-  (6.46e-124, 6.46e-124j)
| (3.4274481132357166248 + 1.4990637127167780649e-524j)  +/-  (3.52e-120, 3.52e-120j)
| (-0.82105149931113779054 - 3.5247235359955622861e-528j)  +/-  (5.15e-125, 5.15e-125j)
| (-2.088344745701944171 + 2.0014374933021449939e-524j)  +/-  (4.12e-122, 4.12e-122j)
| (0.41259045795460183817 + 2.1590228311969692107e-529j)  +/-  (4.17e-126, 4.17e-126j)
| (-6.0874095469012913223 - 2.5900393549130913871e-528j)  +/-  (4.02e-119, 4.02e-119j)
| (-0.41259045795460183817 - 1.1019406545897679353e-535j)  +/-  (4.17e-126, 4.17e-126j)
| (-3.3279909713990826144e-547 - 1.056192439422181007e-546j)  +/-  (4.1e-545, 4.1e-545j)
| (-1.242688955485464179 + 1.3470676638052623075e-533j)  +/-  (6.23e-124, 6.23e-124j)
| (6.7401390601264068537 + 2.7198819627202844344e-532j)  +/-  (3.45e-119, 3.45e-119j)
-------------------------------------------------
The weights are:
| (3.6662526616653535265e-11 - 3.0864464392751964858e-478j)  +/-  (2.52e-31, 2.01e-91j)
| (4.996877444033304044e-23 - 4.5640276607970068608e-487j)  +/-  (6.87e-38, 5.47e-98j)
| (6.5629809003078093456e-19 + 1.0351628275136629504e-484j)  +/-  (2.76e-36, 2.2e-96j)
| (7.4515533518023722202e-08 - 1.5841488844056890593e-478j)  +/-  (1.52e-29, 1.21e-89j)
| (8.3869378477526336747e-16 + 6.7399275606488638218e-482j)  +/-  (5.33e-36, 4.25e-96j)
| (6.5629809003078093456e-19 - 6.6169724000042271537e-484j)  +/-  (8.59e-38, 6.84e-98j)
| (9.6731565451338287688e-05 + 4.2551074156334621961e-475j)  +/-  (1.79e-27, 1.43e-87j)
| (4.996877444033304044e-23 + 2.1802664142642321895e-486j)  +/-  (7.23e-40, 5.76e-100j)
| (0.0022934747582054889109 + 1.7903594423235625253e-473j)  +/-  (4.05e-25, 3.22e-85j)
| (8.3869378477526336747e-16 - 7.1686614215433614436e-483j)  +/-  (4.75e-37, 3.79e-97j)
| (0.0074667556562982206637 - 2.0811908545032415183e-473j)  +/-  (2.14e-23, 1.7e-83j)
| (0.041839009239921379207 - 1.054237239982349381e-472j)  +/-  (3.42e-19, 2.73e-79j)
| (1.3725821761047294739e-06 + 7.0477708668278044354e-476j)  +/-  (1.11e-31, 8.87e-92j)
| (0.0074667556562982206637 - 4.7679802803508330797e-473j)  +/-  (4.5e-25, 3.59e-85j)
| (1.4489982715357566474e-05 - 4.0649751453506517096e-475j)  +/-  (1.19e-30, 9.46e-91j)
| (0.0022934747582054889109 + 6.5532098239746520297e-474j)  +/-  (2.73e-27, 2.18e-87j)
| (2.2684038106290542423e-09 + 1.1788430756971096854e-478j)  +/-  (2.5e-35, 1.99e-95j)
| (7.4515533518023722202e-08 - 1.0614257056051904139e-476j)  +/-  (1.73e-33, 1.38e-93j)
| (0.0005178668369149927584 - 6.0436967527466287838e-474j)  +/-  (3.17e-29, 2.53e-89j)
| (0.041839009239921379207 - 1.7971996648890597656e-472j)  +/-  (3.68e-25, 2.93e-85j)
| (2.8137131974442304425e-13 - 4.7083359455506712448e-480j)  +/-  (2.53e-37, 2.02e-97j)
| (0.11751266168764812939 - 2.9441561341185751035e-472j)  +/-  (4.02e-26, 3.2e-86j)
| (1.3725821761047294739e-06 + 7.2800174149346406988e-477j)  +/-  (2.06e-34, 1.64e-94j)
| (9.6731565451338287688e-05 + 1.7836078522591394698e-474j)  +/-  (1.04e-30, 8.27e-91j)
| (2.8137131974442304425e-13 + 2.6018958287490474174e-481j)  +/-  (1.7e-39, 1.36e-99j)
| (1.4489982715357566474e-05 - 7.2035124002678954961e-476j)  +/-  (1.15e-33, 8.99e-94j)
| (0.018584701191274421935 + 5.2512626520900011374e-473j)  +/-  (5.06e-30, 3.96e-90j)
| (0.079156899877688029556 + 1.8603525913198332726e-472j)  +/-  (6.52e-29, 5.08e-89j)
| (0.0005178668369149927584 - 1.8111780734102659047e-474j)  +/-  (2.73e-32, 2.13e-92j)
| (0.11751266168764812939 - 3.8068547972622918467e-472j)  +/-  (1.26e-29, 9.56e-90j)
| (0.018584701191274421935 + 1.032662105089062682e-472j)  +/-  (6.49e-31, 4.93e-91j)
| (0.1496840656784677031 + 3.9514633914411509798e-472j)  +/-  (1.63e-29, 1.26e-89j)
| (2.2684038106290542423e-09 + 1.7000510661469062253e-477j)  +/-  (2.85e-37, 2.17e-97j)
| (0.1496840656784677031 + 4.4936156107125649573e-472j)  +/-  (4.79e-30, 3.67e-90j)
| (0.16566378824471353592 - 4.5129647728609490862e-472j)  +/-  (5.1e-30, 3.91e-90j)
| (0.079156899877688029556 + 2.7530997678111792072e-472j)  +/-  (1.14e-30, 8.08e-91j)
| (3.6662526616653535265e-11 - 6.2311502848756402431e-480j)  +/-  (6.54e-39, 5.55e-99j)
