Starting with polynomial:
P : t^12 - 66*t^10 + 1485*t^8 - 13860*t^6 + 51975*t^4 - 62370*t^2 + 10395
Extension levels are: 12 26
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P1 : t^12 - 66*t^10 + 1485*t^8 - 13860*t^6 + 51975*t^4 - 62370*t^2 + 10395
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^38 - 1017737218129247743/1939697391247873*t^36 + 12465035379569738295/102089336381467*t^34 - 550440166198092415934535/32974855651213841*t^32 + 49377653232754091997178350/32974855651213841*t^30 - 180892401458314920144704010/1939697391247873*t^28 + 137239720730093091610589703570/32974855651213841*t^26 - 4467156696637430218833170796750/32974855651213841*t^24 + 106938492949054980662595265548000/32974855651213841*t^22 - 1884666713240302258460825476845000/32974855651213841*t^20 + 1279811156681477809399649699560500/1735518718484939*t^18 - 702226075349004488309969948506500/102089336381467*t^16 + 4638434539961564790921164045103750/102089336381467*t^14 - 21026896810179215372427871702091250/102089336381467*t^12 + 62452328113002945735329089234106250/102089336381467*t^10 - 113331487363928155822724185485273750/102089336381467*t^8 + 112512516106672640463452188649533125/102089336381467*t^6 - 50639498722059425888731565741071875/102089336381467*t^4 + 7350088095763929378434773929853125/102089336381467*t^2 - 188306128954750142537176209609375/102089336381467
-------------------------------------------------
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:
| (3.9896029494438048535 - 1.9364443414023677834e-414j)  +/-  (8.77e-119, 8.77e-119j)
| (-9.0943766301832683963 - 5.9433982422450973613e-417j)  +/-  (2.87e-120, 2.87e-120j)
| (9.0943766301832683963 + 2.2148494194898052097e-418j)  +/-  (3.23e-120, 3.23e-120j)
| (4.8881207905135905199 - 9.3315017828132439692e-416j)  +/-  (4.5e-119, 4.5e-119j)
| (-7.497579360773225763 + 4.4619526353572636681e-416j)  +/-  (2.54e-119, 2.54e-119j)
| (-6.1345644048880055547 - 2.7755705413242099694e-418j)  +/-  (4.81e-119, 4.81e-119j)
| (7.497579360773225763 - 2.4887832929662567855e-421j)  +/-  (2.84e-119, 2.84e-119j)
| (-4.8881207905135905199 - 5.4916334464076243033e-419j)  +/-  (4.91e-119, 4.91e-119j)
| (6.7968356341777055401 - 6.3904475948714046344e-427j)  +/-  (4.76e-119, 4.76e-119j)
| (-10.104252239331768745 - 3.4934762058096813572e-430j)  +/-  (3.94e-121, 3.94e-121j)
| (-6.7968356341777055401 - 2.2425198341344485705e-426j)  +/-  (4.31e-119, 4.31e-119j)
| (8.2529617656958609076 + 1.7964504123001655801e-428j)  +/-  (1.11e-119, 1.11e-119j)
| (10.104252239331768745 + 5.9048521860734556177e-431j)  +/-  (3.43e-121, 3.43e-121j)
| (3.8063764294744039791 - 1.6927901220712582789e-428j)  +/-  (4.3e-119, 4.3e-119j)
| (-3.2237098287700974717 - 1.18660041290395535e-426j)  +/-  (2.42e-120, 2.42e-120j)
| (5.5009017044677476008 + 1.2556931936134800437e-430j)  +/-  (5.68e-119, 5.68e-119j)
| (-1.8153480936896702405 - 9.1834032505069970339e-436j)  +/-  (8.97e-123, 8.97e-123j)
| (-5.5009017044677476008 - 7.2062952744985326111e-433j)  +/-  (5.04e-119, 5.04e-119j)
| (-3.8063764294744039791 - 2.5892873499480776313e-448j)  +/-  (4.08e-119, 4.08e-119j)
| (-8.2529617656958609076 + 3.0634117981082564602e-462j)  +/-  (1.06e-119, 1.06e-119j)
| (2.7154212453180998141 + 1.4891644809041719467e-462j)  +/-  (4.2e-121, 4.2e-121j)
| (0.85419830957049210743 - 1.9645391795089600402e-468j)  +/-  (4.75e-125, 4.75e-125j)
| (2.2594644510007991239 - 4.367017544534906802e-465j)  +/-  (6.69e-122, 6.69e-122j)
| (-2.2594644510007991239 - 8.5585124077077593499e-462j)  +/-  (6.68e-122, 6.68e-122j)
| (-1.3403751971516167215 + 1.4808862540542373458e-467j)  +/-  (7.49e-124, 7.49e-124j)
| (0.17975960260325273672 + 4.259470048292297178e-469j)  +/-  (8.74e-127, 8.74e-127j)
| (1.8153480936896702405 + 4.0460094678089910911e-465j)  +/-  (9.24e-123, 9.24e-123j)
| (-0.17975960260325273672 - 5.0270189812816105593e-469j)  +/-  (8.74e-127, 8.74e-127j)
| (-3.9896029494438048535 - 2.5327825949433472697e-460j)  +/-  (8.86e-119, 8.86e-119j)
| (-0.85419830957049210743 + 2.7324191896450043834e-475j)  +/-  (4.86e-125, 4.86e-125j)
| (-4.271825847932281723 + 1.4288321386168645425e-469j)  +/-  (6.85e-119, 6.85e-119j)
| (3.2237098287700974717 - 9.0578321897434049716e-473j)  +/-  (2.44e-120, 2.44e-120j)
| (1.3403751971516167215 - 1.5676859467289490292e-478j)  +/-  (6.99e-124, 6.99e-124j)
| (6.1345644048880055547 + 1.0061236618357489343e-472j)  +/-  (4.66e-119, 4.66e-119j)
| (-0.4444030019441389453 - 2.6953412428547305507e-482j)  +/-  (4.79e-126, 4.79e-126j)
| (-2.7154212453180998141 + 1.1294741487087568543e-476j)  +/-  (3.94e-121, 3.94e-121j)
| (4.271825847932281723 - 3.5467050740762294864e-478j)  +/-  (6e-119, 6e-119j)
| (0.4444030019441389453 - 1.4983305179903021668e-488j)  +/-  (6.43e-126, 6.43e-126j)
-------------------------------------------------
The weights are:
| (-4.8812187861757518871e-05 - 4.8340246109437485107e-418j)  +/-  (9.46e-23, 2.48e-81j)
| (3.9535911725262417596e-19 + 1.4858540006367316063e-430j)  +/-  (1.56e-36, 4.08e-95j)
| (3.9535911725262417596e-19 + 3.5113701279683525129e-430j)  +/-  (1.27e-36, 3.34e-95j)
| (1.5655932228054164437e-06 + 1.333504542737305895e-420j)  +/-  (1.53e-26, 4.02e-85j)
| (1.7961222217528487944e-13 + 4.6539153384208957577e-427j)  +/-  (6.2e-34, 1.62e-92j)
| (1.7365599190119588326e-09 + 2.0711086482903744026e-424j)  +/-  (2.1e-31, 5.51e-90j)
| (1.7961222217528487944e-13 + 1.2117227636435467973e-426j)  +/-  (1.88e-34, 4.94e-93j)
| (1.5655932228054164437e-06 + 5.1870848279029861714e-422j)  +/-  (3.09e-29, 8.09e-88j)
| (2.5208930373786721111e-11 - 3.4347065985823959558e-425j)  +/-  (3.18e-33, 8.33e-92j)
| (3.1375932733108327577e-23 - 6.2018220824603364584e-433j)  +/-  (8.21e-40, 2.15e-98j)
| (2.5208930373786721111e-11 - 1.1148117351456560019e-425j)  +/-  (3.66e-33, 9.58e-92j)
| (5.1157551412757919176e-16 - 2.8350079760135316506e-428j)  +/-  (1.96e-36, 5.15e-95j)
| (3.1375932733108327577e-23 - 1.3329502202068701453e-432j)  +/-  (2.02e-40, 5.28e-99j)
| (0.00021606199929873686956 + 6.2795789132855372657e-418j)  +/-  (5.84e-28, 1.53e-86j)
| (0.0011811972978951131484 + 1.6380988353814617457e-419j)  +/-  (1.65e-28, 4.33e-87j)
| (6.664440964284666011e-08 - 1.055600299360844406e-422j)  +/-  (4.37e-32, 1.14e-90j)
| (0.035192310165765481834 - 3.1151292994462884918e-418j)  +/-  (5.63e-24, 1.47e-82j)
| (6.664440964284666011e-08 - 3.3312535850282062535e-423j)  +/-  (5.77e-33, 1.51e-91j)
| (0.00021606199929873686956 - 1.2023848874802651257e-419j)  +/-  (2.21e-30, 5.78e-89j)
| (5.1157551412757919176e-16 - 1.078589586042175393e-428j)  +/-  (3.26e-38, 8.54e-97j)
| (0.0048047838456932731341 + 2.8813260085645719513e-418j)  +/-  (2.12e-29, 5.54e-88j)
| (0.13133895967265508861 + 3.2008648847173038837e-417j)  +/-  (7.32e-25, 1.92e-83j)
| (0.01363005515394646634 - 5.2989679335858047054e-418j)  +/-  (1.95e-28, 5.1e-87j)
| (0.01363005515394646634 + 1.3754944092809393447e-418j)  +/-  (2.3e-28, 6.03e-87j)
| (0.079188589784284721169 + 7.0595398245782203833e-418j)  +/-  (6.33e-26, 1.66e-84j)
| (0.12474839713843023127 + 1.0678978656769597998e-416j)  +/-  (4.6e-25, 1.2e-83j)
| (0.035192310165765481834 + 8.7213234773681570519e-418j)  +/-  (3.23e-28, 8.47e-87j)
| (0.12474839713843023127 - 9.7183573259848035966e-417j)  +/-  (2.02e-25, 5.3e-84j)
| (-4.8812187861757518871e-05 + 9.2421778709690830751e-420j)  +/-  (1.94e-31, 5.08e-90j)
| (0.13133895967265508861 - 2.0309552721681805342e-417j)  +/-  (2.95e-28, 7.74e-87j)
| (2.9673210030016094047e-05 - 1.6608173017781536328e-420j)  +/-  (3.46e-32, 9.07e-91j)
| (0.0011811972978951131484 - 1.748534213164129188e-418j)  +/-  (3.62e-32, 9.47e-91j)
| (0.079188589784284721169 - 1.4676455969994345472e-417j)  +/-  (1.06e-29, 2.78e-88j)
| (1.7365599190119588326e-09 + 7.2609066406263884662e-424j)  +/-  (1.05e-37, 2.77e-96j)
| (0.10971714992028120721 + 6.4088570218837632889e-417j)  +/-  (1.34e-29, 3.86e-88j)
| (0.0048047838456932731341 - 5.0170573285545651048e-419j)  +/-  (4.73e-32, 1.3e-90j)
| (2.9673210030016094047e-05 - 6.9426008250214738563e-419j)  +/-  (8.77e-34, 2.28e-92j)
| (0.10971714992028120721 - 8.0975173218036938535e-417j)  +/-  (5.22e-30, 1.56e-88j)
