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*t^25 + 52650*t^23 - 4440150*t^21 + 233107875*t^19 - 7972289325*t^17 + 180705224700*t^15 - 2710578370500*t^13 + 26428139112375*t^11 - 161505294575625*t^9 + 581419060472250*t^7 - 1109981842719750*t^5 + 924984868933125*t^3 - 213458046676875*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
Positive weights:   27 out of 27
Indefinite weights: 0 out of 27
Negative weights:   0 out of 27
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.9869064106798010371 + 5.9999119740811854863e-372j)  +/-  (2.63e-121, 2.63e-121j)
| (1.8060452131386712366 - 1.7248018899664675513e-376j)  +/-  (2.84e-124, 2.84e-124j)
| (8.0783492745341676988 + 4.0440317658619393776e-373j)  +/-  (1.28e-121, 1.28e-121j)
| (-4.9869064106798010371 + 2.0068311784417321894e-372j)  +/-  (2.14e-121, 2.14e-121j)
| (5.6827607616290614623 + 3.8272347719963622902e-379j)  +/-  (3.39e-121, 3.39e-121j)
| (-8.0783492745341676988 + 2.7371123742143650106e-378j)  +/-  (1.23e-121, 1.23e-121j)
| (-9.1244212506729358783 - 7.3174957883606541217e-382j)  +/-  (1.79e-122, 1.79e-122j)
| (9.1244212506729358783 - 2.7633562601133300713e-382j)  +/-  (1.67e-122, 1.67e-122j)
| (-7.2038766119106394825 + 1.0172241519240010152e-379j)  +/-  (2.78e-121, 2.78e-121j)
| (-4.3184176719366875248 + 2.9964700876034872758e-387j)  +/-  (1.24e-121, 1.24e-121j)
| (2.4176839831625435769 + 3.0250420784605764983e-394j)  +/-  (2.34e-123, 2.34e-123j)
| (-1.8060452131386712366 - 2.7306646536952391089e-394j)  +/-  (2.66e-124, 2.66e-124j)
| (-6.4161549345621731946 - 8.1527887865785652316e-392j)  +/-  (3.89e-121, 3.89e-121j)
| (7.2038766119106394825 + 1.3775794210368581315e-396j)  +/-  (3.21e-121, 3.21e-121j)
| (4.3184176719366875248 - 2.0414401527723633264e-397j)  +/-  (1.18e-121, 1.18e-121j)
| (3.0381502518710366553 + 4.968245067494581859e-398j)  +/-  (1.23e-122, 1.23e-122j)
| (-3.0381502518710366553 - 2.1504844341623672929e-397j)  +/-  (1.19e-122, 1.19e-122j)
| (1.2006833545499806979 - 1.0790062460709986926e-411j)  +/-  (3.33e-125, 3.33e-125j)
| (-0.59935488078998477575 + 4.9330989244365847954e-409j)  +/-  (1.93e-126, 1.93e-126j)
| (-3.6704729864924044791 - 8.3949657077004646806e-412j)  +/-  (4e-122, 4e-122j)
| (3.6704729864924044791 + 6.555939486266767469e-421j)  +/-  (4.01e-122, 4.01e-122j)
| (-5.3787700191278544489e-428 + 6.1529359167495105961e-428j)  +/-  (2.21e-426, 2.21e-426j)
| (-5.6827607616290614623 + 3.8560193578929099228e-425j)  +/-  (4.04e-121, 4.04e-121j)
| (-2.4176839831625435769 + 2.701172648332319299e-435j)  +/-  (2.46e-123, 2.46e-123j)
| (-1.2006833545499806979 + 6.5781287476033461135e-438j)  +/-  (2.98e-125, 2.98e-125j)
| (6.4161549345621731946 + 5.9348808197111226786e-435j)  +/-  (3.89e-121, 3.89e-121j)
| (0.59935488078998477575 - 5.1175187123642628467e-442j)  +/-  (1.93e-126, 1.93e-126j)
-------------------------------------------------
The weights are:
| (1.0805815336838314678e-06 - 1.5936339140929686969e-377j)  +/-  (1.02e-34, 1.31e-94j)
| (0.047489575562742793953 + 3.6776888570763634465e-376j)  +/-  (4.4e-24, 5.64e-84j)
| (2.5223632508734059723e-15 + 1.0964085393474587274e-382j)  +/-  (1.38e-40, 1.76e-100j)
| (1.0805815336838314678e-06 + 4.7513696067822540983e-378j)  +/-  (1.32e-36, 1.69e-96j)
| (2.7619339184479042377e-08 - 1.5236768782243087589e-378j)  +/-  (1.51e-36, 1.94e-96j)
| (2.5223632508734059723e-15 - 5.8056926092779032641e-383j)  +/-  (3.47e-42, 4.45e-102j)
| (4.0033647665501902082e-19 + 6.0084490334421482383e-385j)  +/-  (8.82e-44, 1.13e-103j)
| (4.0033647665501902082e-19 - 1.0505757167024928887e-384j)  +/-  (8.4e-44, 1.08e-103j)
| (1.7682365112196694161e-12 + 1.9371343773055081218e-381j)  +/-  (2.33e-41, 2.99e-101j)
| (2.3395576715668111184e-05 - 1.1822616524150639927e-377j)  +/-  (6.74e-38, 8.64e-98j)
| (0.01321102584046355634 - 2.3957794524393085598e-376j)  +/-  (5.24e-34, 6.72e-94j)
| (0.047489575562742793953 + 5.9432652732657531132e-377j)  +/-  (4.38e-33, 5.62e-93j)
| (3.4726047028458830923e-10 - 3.7477106895787759186e-380j)  +/-  (1.06e-40, 1.37e-100j)
| (1.7682365112196694161e-12 - 3.9777471068899400704e-381j)  +/-  (1.96e-42, 2.51e-102j)
| (2.3395576715668111184e-05 + 4.3971334229355625894e-377j)  +/-  (1.14e-38, 1.45e-98j)
| (0.0024718724459619764701 + 1.4468087430996749859e-376j)  +/-  (6.78e-37, 8.65e-97j)
| (0.0024718724459619764701 - 1.4196492886760312767e-377j)  +/-  (2.83e-38, 3.6e-98j)
| (0.11699626517501002799 - 4.6936643261350481778e-376j)  +/-  (4.5e-35, 5.75e-95j)
| (0.2000149701605134941 + 2.9367311526493523425e-376j)  +/-  (4.53e-35, 5.76e-95j)
| (0.00030283982593616503115 + 1.4920542427619551609e-377j)  +/-  (5.44e-39, 6.93e-99j)
| (0.00030283982593616503115 - 7.7904123868975160727e-377j)  +/-  (8.6e-39, 1.11e-98j)
| (0.23897789372550444027 - 4.1707217599121746872e-376j)  +/-  (8.98e-36, 1.13e-95j)
| (2.7619339184479042377e-08 + 5.9620911848266493438e-379j)  +/-  (2.29e-41, 2.88e-101j)
| (0.01321102584046355634 - 4.5109165570557622275e-378j)  +/-  (2.55e-38, 3.21e-98j)
| (0.11699626517501002799 - 1.6059345338393432527e-376j)  +/-  (1.99e-37, 2.43e-97j)
| (3.4726047028458830923e-10 + 8.4880141169463844284e-380j)  +/-  (5.28e-43, 7.72e-103j)
| (0.2000149701605134941 + 4.8266377613550551371e-376j)  +/-  (2.01e-37, 2.09e-97j)
