Starting with polynomial:
P : t
Extension levels are: 1 26
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^27 - 351/53*t^25 + 17550/901*t^23 - 1480050/44149*t^21 + 11100375/296429*t^19 - 8436285/296429*t^17 + 11248380/749791*t^15 - 168725700/30741431*t^13 + 42181425/30741431*t^11 - 257775375/1137432947*t^9 + 185598270/7962030629*t^7 - 1533870/1137432947*t^5 + 1278225/35260421357*t^3 - 294975/1022552219353*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:
| (0.99617926288898856694 - 1.1639502646728481368e-422j)  +/-  (2.68e-119, 2.68e-119j)
| (0.5405515645794568949 + 2.1440038777450378633e-432j)  +/-  (3.96e-122, 3.96e-122j)
| (-0.9094823206774911043 - 2.7144745653199626275e-427j)  +/-  (4.74e-119, 4.74e-119j)
| (-0.97992347596150122286 - 2.0715781099303212883e-437j)  +/-  (7.4e-119, 7.4e-119j)
| (0.95090055781470500685 - 6.081601280388224655e-445j)  +/-  (8.02e-119, 8.02e-119j)
| (0.63290797194649514093 + 1.1653783835766726992e-456j)  +/-  (2.93e-121, 2.93e-121j)
| (-0.33599390363850889973 + 4.0133177348016557825e-460j)  +/-  (2.59e-124, 2.59e-124j)
| (-0.95090055781470500685 + 2.0737242492604700975e-452j)  +/-  (7.19e-119, 7.19e-119j)
| (-0.44114825175002688059 + 1.9218146482612114175e-461j)  +/-  (3.63e-123, 3.63e-123j)
| (0.11397258560952996693 - 4.044238796367320712e-462j)  +/-  (1e-126, 1e-126j)
| (0.9094823206774911043 + 9.2036456569813752502e-456j)  +/-  (4.91e-119, 4.91e-119j)
| (0.97992347596150122286 + 8.9723919394217599179e-462j)  +/-  (6.41e-119, 6.41e-119j)
| (-0.8562079080182944903 - 5.3563013063120219461e-467j)  +/-  (2.36e-119, 2.36e-119j)
| (-0.79177163907050822714 + 4.5849461867422921733e-472j)  +/-  (7.21e-120, 7.21e-120j)
| (0.44114825175002688059 - 1.580974996854112568e-477j)  +/-  (3.8e-123, 3.8e-123j)
| (0.8562079080182944903 + 8.1894922689950543848e-474j)  +/-  (2.12e-119, 2.12e-119j)
| (-1.7861743812970082284e-481 + 5.8118215115309733436e-482j)  +/-  (5.07e-480, 5.07e-480j)
| (0.33599390363850889973 + 5.0769037957375965202e-481j)  +/-  (2.76e-124, 2.76e-124j)
| (-0.71701347373942369929 + 2.7060556526315835765e-476j)  +/-  (1.94e-120, 1.94e-120j)
| (0.22645936543953685886 - 4.2226520298846845931e-484j)  +/-  (1.69e-125, 1.69e-125j)
| (-0.99617926288898856694 + 1.1537142647145080097e-478j)  +/-  (2.51e-119, 2.51e-119j)
| (0.79177163907050822714 + 1.5647385242998372961e-484j)  +/-  (7.72e-120, 7.72e-120j)
| (-0.11397258560952996693 + 7.8079986927075809448e-493j)  +/-  (1e-126, 1e-126j)
| (-0.5405515645794568949 + 5.5286597934349649977e-489j)  +/-  (4e-122, 4e-122j)
| (-0.63290797194649514093 + 1.8281787150947157094e-489j)  +/-  (2.89e-121, 2.89e-121j)
| (-0.22645936543953685886 - 4.3653495751753365179e-492j)  +/-  (1.71e-125, 1.71e-125j)
| (0.71701347373942369929 + 4.8940759403730113468e-490j)  +/-  (1.76e-120, 1.76e-120j)
-------------------------------------------------
The weights are:
| (0.0097989960512943602612 + 1.4897274678572697134e-422j)  +/-  (2.09e-37, 2.92e-94j)
| (0.096088727370028507566 + 7.5515473331796525884e-423j)  +/-  (7.71e-38, 1.08e-94j)
| (0.047449412520615062704 - 6.2703672426430728807e-424j)  +/-  (3.78e-38, 5.29e-95j)
| (0.022686231596180623196 - 2.0042903376598562377e-424j)  +/-  (1.82e-38, 2.55e-95j)
| (0.035297053757419711023 + 1.6942716981216935265e-422j)  +/-  (1.63e-38, 2.28e-95j)
| (0.088423158543756950194 - 8.3612890147885978963e-423j)  +/-  (3.37e-38, 4.71e-95j)
| (0.10757828578853318721 + 3.0595153863251249934e-423j)  +/-  (6.66e-39, 9.32e-96j)
| (0.035297053757419711023 + 3.9379757564640740156e-424j)  +/-  (6.41e-39, 8.98e-96j)
| (0.10250163781774579867 - 2.6374153793704629612e-423j)  +/-  (4.99e-39, 6.99e-96j)
| (0.11347634610896514862 + 5.0049421786481885446e-423j)  +/-  (1.39e-39, 1.94e-96j)
| (0.047449412520615062704 - 1.3781238721041955204e-422j)  +/-  (1.91e-39, 2.68e-96j)
| (0.022686231596180623196 - 2.4372133789088508018e-422j)  +/-  (3.81e-39, 5.34e-96j)
| (0.05898353685983359911 + 8.9398261889933805029e-424j)  +/-  (1.68e-40, 2.36e-97j)
| (0.069748823766245592984 - 1.190548517043533859e-423j)  +/-  (6.4e-41, 8.97e-98j)
| (0.10250163781774579867 - 6.8297464367929049215e-423j)  +/-  (1.54e-40, 2.16e-97j)
| (0.05898353685983359911 + 1.1826583081288762904e-422j)  +/-  (6.75e-41, 9.45e-98j)
| (0.11422086737895698905 - 4.4760221241222288019e-423j)  +/-  (1.84e-41, 2.58e-98j)
| (0.10757828578853318721 + 6.1736078667433301169e-423j)  +/-  (4.56e-41, 6.38e-98j)
| (0.079604867773057771263 + 1.5147008054458461397e-423j)  +/-  (1.23e-42, 1.72e-99j)
| (0.11125248835684519267 - 5.5685912474276060609e-423j)  +/-  (1.08e-41, 1.51e-98j)
| (0.0097989960512943602612 + 5.7232261859946938047e-425j)  +/-  (1.83e-43, 2.56e-100j)
| (0.069748823766245592984 - 1.0412021417901781981e-422j)  +/-  (2.54e-42, 3.56e-99j)
| (0.11347634610896514862 + 3.9773106811473476143e-423j)  +/-  (1.05e-42, 1.47e-99j)
| (0.096088727370028507566 + 2.2390628934325087033e-423j)  +/-  (1.82e-43, 2.54e-100j)
| (0.088423158543756950194 - 1.8646032849478406399e-423j)  +/-  (1.65e-43, 2.3e-100j)
| (0.11125248835684519267 - 3.5057839545964172874e-423j)  +/-  (1.68e-43, 2.39e-100j)
| (0.079604867773057771263 + 9.2945853027460441492e-423j)  +/-  (5.96e-44, 7.59e-101j)
