Starting with polynomial:
P : 2*t
Extension levels are: 1 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^33 - 16*t^31 + 465/8*t^29 - 1015/8*t^27 + 23751/128*t^25 - 12285/64*t^23 + 148005/1024*t^21 - 82225/1024*t^19 + 1081575/32768*t^17 - 81719/8192*t^15 + 572033/262144*t^13 - 88179/262144*t^11 + 146965/4194304*t^9 - 4845/2097152*t^7 + 2907/33554432*t^5 - 51/33554432*t^3 + 17/2147483648*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:
| (0.96182564317281907041 + 1.9331332480994139865e-437j)  +/-  (4.17e-117, 4.17e-117j)
| (-3.3621451545150664817e-451 + 1.003752929216119322e-450j)  +/-  (3.49e-449, 3.49e-449j)
| (-0.89516329135506232207 - 1.4999355087329441381e-443j)  +/-  (2.13e-117, 2.13e-117j)
| (-0.96182564317281907041 - 5.3536500478971059841e-443j)  +/-  (3.98e-117, 3.98e-117j)
| (0.85021713572961415213 - 7.9947148490585982149e-444j)  +/-  (1.02e-117, 1.02e-117j)
| (0.93247222940435580457 - 8.4960417138350133152e-450j)  +/-  (3.26e-117, 3.26e-117j)
| (-0.99573417629503452187 - 1.517673560576241846e-455j)  +/-  (1.18e-117, 1.18e-117j)
| (-0.85021713572961415213 + 9.151722952462411887e-458j)  +/-  (1.04e-117, 1.04e-117j)
| (-0.98297309968390177828 - 4.6488271655342622301e-456j)  +/-  (3.38e-117, 3.38e-117j)
| (0.99573417629503452187 - 1.7484996964723671048e-457j)  +/-  (9.37e-118, 9.37e-118j)
| (0.89516329135506232207 + 3.5737627337366076294e-467j)  +/-  (2.09e-117, 2.09e-117j)
| (0.98297309968390177828 + 7.0976154730327728213e-475j)  +/-  (3.27e-117, 3.27e-117j)
| (-0.36124166618715294874 - 8.5609513009174856249e-483j)  +/-  (2.26e-123, 2.26e-123j)
| (-0.73900891722065911592 + 2.0338561472872954331e-482j)  +/-  (9.09e-119, 9.09e-119j)
| (0.09226835946330199524 + 1.1908153453102679021e-486j)  +/-  (5.46e-127, 5.46e-127j)
| (0.73900891722065911592 + 2.3670967308740051753e-486j)  +/-  (7.82e-119, 7.82e-119j)
| (0.79801722728023950333 + 6.8961021742662569747e-489j)  +/-  (3.29e-118, 3.29e-118j)
| (-0.93247222940435580457 + 1.588030329759829756e-492j)  +/-  (3.76e-117, 3.76e-117j)
| (-0.79801722728023950333 + 3.1633846337120929008e-497j)  +/-  (3.13e-118, 3.13e-118j)
| (-0.60263463637925638918 + 1.5610956669526820811e-498j)  +/-  (2.77e-120, 2.77e-120j)
| (0.18374951781657033157 + 5.0557186110568891716e-498j)  +/-  (1.02e-125, 1.02e-125j)
| (0.67369564364655721171 + 8.8375855925168000044e-498j)  +/-  (2.03e-119, 2.03e-119j)
| (0.36124166618715294874 + 1.953322582122271505e-499j)  +/-  (2.84e-123, 2.84e-123j)
| (-0.52643216287735580024 + 5.5485896659594615418e-502j)  +/-  (3.41e-121, 3.41e-121j)
| (-0.4457383557765382674 - 4.5920317927991445485e-502j)  +/-  (4.08e-122, 4.08e-122j)
| (-0.09226835946330199524 - 2.3170537783364354459e-503j)  +/-  (6.21e-127, 6.21e-127j)
| (0.52643216287735580024 - 6.372307429311499395e-501j)  +/-  (3.6e-121, 3.6e-121j)
| (0.27366299007208286354 + 3.1461959627522593388e-502j)  +/-  (1.55e-124, 1.55e-124j)
| (-0.18374951781657033157 - 1.6402279315530775068e-507j)  +/-  (8.1e-126, 8.1e-126j)
| (-0.67369564364655721171 - 5.1893825295048995933e-503j)  +/-  (1.82e-119, 1.82e-119j)
| (-0.27366299007208286354 - 1.5681167513495203317e-507j)  +/-  (1.64e-124, 1.64e-124j)
| (0.4457383557765382674 + 2.2435231296990468498e-504j)  +/-  (3.58e-122, 3.58e-122j)
| (0.60263463637925638918 + 8.1945240754375833074e-507j)  +/-  (3.03e-120, 3.03e-120j)
-------------------------------------------------
The weights are:
| (0.0022026891804468507039 - 8.2029571382197686391e-439j)  +/-  (5.18e-22, 1.87e-78j)
| (0.029411764705882352941 - 5.9113719938424905735e-439j)  +/-  (3.06e-22, 1.1e-78j)
| (0.005843608288540347218 - 6.0837518832695218451e-440j)  +/-  (8.21e-23, 2.96e-79j)
| (0.0022026891804468507039 - 2.2137251455254149508e-440j)  +/-  (5.94e-23, 2.14e-79j)
| (0.0081509065326979666559 + 1.4117915916885847334e-438j)  +/-  (1.95e-23, 7.01e-80j)
| (0.0038381041585197188835 + 2.5276671847742077583e-438j)  +/-  (3.82e-23, 1.37e-79j)
| (0.00025039559288379737821 - 2.4722797905000484361e-441j)  +/-  (3.48e-24, 1.25e-80j)
| (0.0081509065326979666559 + 8.6962608842263774904e-440j)  +/-  (1.74e-24, 6.27e-81j)
| (0.0009930554499359440504 + 9.8683087114032417656e-441j)  +/-  (7.42e-24, 2.67e-80j)
| (0.00025039559288379737821 + 1.427511065513614102e-439j)  +/-  (8.63e-26, 3.11e-82j)
| (0.005843608288540347218 - 1.694579876619868539e-438j)  +/-  (1.31e-25, 4.72e-82j)
| (0.0009930554499359440504 - 9.0777278977145156844e-439j)  +/-  (1.9e-25, 6.85e-82j)
| (0.025573660547362634058 - 3.7365984426185905153e-439j)  +/-  (1.87e-28, 6.73e-85j)
| (0.013348994713774970658 + 1.517264591266914351e-439j)  +/-  (6.79e-28, 2.45e-84j)
| (0.029161369112998555563 + 6.4829548670663590713e-439j)  +/-  (2.03e-28, 7.3e-85j)
| (0.013348994713774970658 + 1.1581455061205792502e-438j)  +/-  (4.72e-28, 1.7e-84j)
| (0.010681426616587016713 - 1.2605368587296261457e-438j)  +/-  (2.26e-27, 8.14e-84j)
| (0.0038381041585197188835 + 3.917337325100684718e-440j)  +/-  (6.48e-28, 2.33e-84j)
| (0.010681426616587016713 - 1.1733737699600800569e-439j)  +/-  (1.44e-28, 5.18e-85j)
| (0.018730338089295336229 + 2.3144622403185253108e-439j)  +/-  (2.17e-30, 7.82e-87j)
| (0.028418709255946408891 - 7.0606603315579306877e-439j)  +/-  (1.06e-30, 3.83e-87j)
| (0.016062769992107382283 - 1.0776911572897812938e-438j)  +/-  (1.4e-30, 5.04e-87j)
| (0.025573660547362634058 - 8.2315547819338217085e-439j)  +/-  (1.57e-31, 5.65e-88j)
| (0.021260858173184386285 - 2.761659156651140925e-439j)  +/-  (4.14e-31, 1.49e-87j)
| (0.023568156417342005723 + 3.236859006745821874e-439j)  +/-  (2.21e-31, 7.95e-88j)
| (0.029161369112998555563 + 5.3480130616791595762e-439j)  +/-  (3.53e-32, 1.27e-88j)
| (0.021260858173184386285 - 9.4397687610088940132e-439j)  +/-  (2.78e-33, 1e-89j)
| (0.027209075525435502237 + 7.6433819010769131128e-439j)  +/-  (1.12e-32, 4.05e-89j)
| (0.028418709255946408891 - 4.7956233181508770915e-439j)  +/-  (5.48e-33, 1.97e-89j)
| (0.016062769992107382283 - 1.8986090135045340647e-439j)  +/-  (5.18e-33, 1.87e-89j)
| (0.027209075525435502237 + 4.2573548392419956972e-439j)  +/-  (3.96e-33, 1.43e-89j)
| (0.023568156417342005723 + 8.8280552125807232346e-439j)  +/-  (3.06e-34, 1.12e-90j)
| (0.018730338089295336229 + 1.0080511512969415521e-438j)  +/-  (2.04e-34, 7.17e-91j)
