Starting with polynomial:
P : 2*t
Extension levels are: 1 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^37 - 666*t^35 + 198135/2*t^33 - 8717940*t^31 + 1013460525/2*t^29 - 41146497315/2*t^27 + 4814140185855/8*t^25 - 51580073419875/4*t^23 + 13049758575228375/64*t^21 - 152247183377664375/64*t^19 + 5206853671516121625/256*t^17 - 8046955674161278875/64*t^15 + 281643448595644760625/512*t^13 - 844930345786934281875/512*t^11 + 6638738431183055071875/2048*t^9 - 3983243058709833043125/1024*t^7 + 83648104232906493905625/32768*t^5 - 24602383597913674678125/32768*t^3 + 8200794532637891559375/131072*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:
| (-5.0112061385730727497 + 1.6276850103331588426e-465j)  +/-  (7.59e-119, 7.59e-119j)
| (-7.7468822496494560166 + 4.7560527555109815546e-469j)  +/-  (4.3e-121, 4.3e-121j)
| (-6.4695200365240311359 - 1.3613103726067006424e-467j)  +/-  (2.2e-119, 2.2e-119j)
| (6.4695200365240311359 - 5.5193193708312638211e-466j)  +/-  (1.75e-119, 1.75e-119j)
| (7.0497138557782294173 - 1.7528890837535022222e-472j)  +/-  (3.85e-120, 3.85e-120j)
| (7.7468822496494560166 + 1.6194830084661683993e-474j)  +/-  (4.28e-121, 4.28e-121j)
| (4.5756317486673585276 - 5.6699923772671373451e-478j)  +/-  (5.52e-119, 5.52e-119j)
| (5.0112061385730727497 + 1.5311867649809064296e-494j)  +/-  (7.61e-119, 7.61e-119j)
| (-3.3501978949725356528 + 8.2271301070272393842e-501j)  +/-  (1e-119, 1e-119j)
| (-7.0497138557782294173 - 1.2324082442443658041e-502j)  +/-  (4.23e-120, 4.23e-120j)
| (3.3501978949725356528 - 1.3367668447180516428e-500j)  +/-  (8.93e-120, 8.93e-120j)
| (1.4578876468742090388 + 4.4055236456952097029e-507j)  +/-  (3.57e-123, 3.57e-123j)
| (-2.5777768581132719607 - 7.2249883867777413865e-505j)  +/-  (7.53e-121, 7.53e-121j)
| (-3.7478982064754799093 + 2.5390325767046319922e-504j)  +/-  (2.22e-119, 2.22e-119j)
| (2.2003609340092521504 + 5.060680356261667314e-505j)  +/-  (1.77e-121, 1.77e-121j)
| (2.5777768581132719607 + 2.3664523915819444109e-504j)  +/-  (8.54e-121, 8.54e-121j)
| (-5.4667903359685603924 - 3.395973441661960997e-502j)  +/-  (7.15e-119, 7.15e-119j)
| (-2.2003609340092521504 - 7.4269879213475716722e-506j)  +/-  (1.71e-121, 1.71e-121j)
| (5.4667903359685603924 + 4.5376683645401791653e-502j)  +/-  (7.18e-119, 7.18e-119j)
| (5.9491472174619712655 - 4.4074761189143377455e-508j)  +/-  (5.07e-119, 5.07e-119j)
| (2.9606491813032890392 - 1.3456517291653537332e-510j)  +/-  (3.19e-120, 3.19e-120j)
| (3.7478982064754799093 - 3.423489375642017034e-511j)  +/-  (2.54e-119, 2.54e-119j)
| (1.0911237649759331093 - 1.9451974768838682436e-526j)  +/-  (3.76e-124, 3.76e-124j)
| (-4.1555872811264790488 + 6.5972726154606406801e-520j)  +/-  (4.41e-119, 4.41e-119j)
| (-1.4578876468742090388 - 2.9772794307987288038e-526j)  +/-  (3.07e-123, 3.07e-123j)
| (-4.5756317486673585276 - 1.0824808688920088738e-521j)  +/-  (7.38e-119, 7.38e-119j)
| (0.36284990505065798026 + 1.6781630875159304295e-529j)  +/-  (2.3e-126, 2.3e-126j)
| (1.8273652487636046859 - 2.8149454512263018788e-526j)  +/-  (3.06e-122, 3.06e-122j)
| (-1.0911237649759331093 - 2.5643726502552477085e-527j)  +/-  (3.04e-124, 3.04e-124j)
| (-0.72633961660512018832 - 1.2531374246151330468e-528j)  +/-  (2.88e-125, 2.88e-125j)
| (-1.8273652487636046859 + 3.7674551804845707667e-525j)  +/-  (2.15e-122, 2.15e-122j)
| (-2.9606491813032890392 + 5.6004498315546090104e-523j)  +/-  (3.28e-120, 3.28e-120j)
| (0.72633961660512018832 + 2.410621139423992952e-528j)  +/-  (2.84e-125, 2.84e-125j)
| (-5.9491472174619712655 + 4.4182526236653052323e-526j)  +/-  (4.49e-119, 4.49e-119j)
| (-3.2633770359240759788e-536 - 4.1331788051456546835e-536j)  +/-  (1.95e-534, 1.95e-534j)
| (-0.36284990505065798026 - 1.2242532590667619469e-533j)  +/-  (2.3e-126, 2.3e-126j)
| (4.1555872811264790488 + 9.1161591514815098751e-531j)  +/-  (3.75e-119, 3.75e-119j)
-------------------------------------------------
The weights are:
| (3.114550633753990909e-12 + 2.5404315587020966306e-476j)  +/-  (8.18e-24, 8.57e-84j)
| (3.9127019002727728942e-27 + 6.5682703380788069635e-485j)  +/-  (5.16e-31, 5.41e-91j)
| (2.0450331890969116957e-19 + 8.9076408737620903132e-481j)  +/-  (4.86e-28, 5.09e-88j)
| (2.0450331890969116957e-19 - 1.1241850953393452851e-481j)  +/-  (2.7e-30, 2.83e-90j)
| (9.1679979501948441604e-23 + 2.2845961441453242527e-483j)  +/-  (9.53e-32, 9.98e-92j)
| (3.9127019002727728942e-27 - 1.4096081583438596913e-485j)  +/-  (1.52e-33, 1.59e-93j)
| (1.9475295367767133532e-10 - 4.1796936702681350019e-477j)  +/-  (3.44e-27, 3.6e-87j)
| (3.114550633753990909e-12 + 5.0551598065157684396e-478j)  +/-  (3.42e-28, 3.58e-88j)
| (2.9632046975083860874e-06 + 2.9769477574824774241e-474j)  +/-  (4.15e-25, 4.34e-85j)
| (9.1679979501948441604e-23 - 1.3492794803440549236e-482j)  +/-  (8.31e-34, 8.7e-94j)
| (2.9632046975083860874e-06 + 5.9124748815360690297e-475j)  +/-  (3.7e-25, 3.87e-85j)
| (0.024785617000462675669 - 6.9899895872938942703e-473j)  +/-  (7.71e-17, 8.07e-77j)
| (0.00027880641347148790664 + 1.9710205144816252958e-473j)  +/-  (3.02e-23, 3.17e-83j)
| (1.801392729842890064e-07 - 9.6506998330800003635e-475j)  +/-  (9.68e-27, 1.01e-86j)
| (0.0016704526231192335596 - 1.627768057089302515e-473j)  +/-  (5.73e-22, 6e-82j)
| (0.00027880641347148790664 + 6.3192138281793733943e-474j)  +/-  (1.69e-23, 1.77e-83j)
| (2.7672028592899436569e-14 + 1.0488682195608137207e-477j)  +/-  (1.45e-31, 1.51e-91j)
| (0.0016704526231192335596 - 4.1767318335332039127e-473j)  +/-  (2.49e-23, 2.6e-83j)
| (2.7672028592899436569e-14 - 4.5563453442185921504e-479j)  +/-  (2.59e-31, 2.72e-91j)
| (1.1988380927638336458e-16 + 2.8643696302574705991e-480j)  +/-  (1.98e-32, 2.08e-92j)
| (3.397941877127308644e-05 - 2.1000598545332011418e-474j)  +/-  (2.03e-26, 2.13e-86j)
| (1.801392729842890064e-07 - 1.3915278399327022689e-475j)  +/-  (1.91e-28, 2e-88j)
| (0.062726126861015712807 + 1.1788391467345850607e-472j)  +/-  (1.11e-23, 1.16e-83j)
| (7.3794298312026888896e-09 + 2.8840077513566893209e-475j)  +/-  (3.42e-31, 3.58e-91j)
| (0.024785617000462675669 - 1.2726750740650084718e-472j)  +/-  (3.07e-26, 3.22e-86j)
| (1.9475295367767133532e-10 - 9.203361419475322879e-476j)  +/-  (3.5e-32, 3.66e-92j)
| (0.17956725902444822291 + 2.2648892460946384533e-472j)  +/-  (1.97e-25, 2.06e-85j)
| (0.0074248364607565074657 + 3.619022612482060441e-473j)  +/-  (1.46e-26, 1.52e-86j)
| (0.062726126861015712807 + 1.8351780975822933849e-472j)  +/-  (3.49e-26, 3.64e-86j)
| (0.12118164648126216477 - 2.3336053523255808256e-472j)  +/-  (1.44e-26, 1.5e-86j)
| (0.0074248364607565074657 + 7.774031739441712283e-473j)  +/-  (1.77e-27, 1.85e-87j)
| (3.397941877127308644e-05 - 8.165758584715805986e-474j)  +/-  (1.79e-29, 1.87e-89j)
| (0.12118164648126216477 - 1.7427029495806780116e-472j)  +/-  (5.89e-27, 6.06e-87j)
| (1.1988380927638336458e-16 - 3.3533118551323520056e-479j)  +/-  (9.3e-36, 9.76e-96j)
| (0.20465624959079420304 - 2.5930434250468018848e-472j)  +/-  (2.15e-27, 2.15e-87j)
| (0.17956725902444822291 + 2.6185282863069780827e-472j)  +/-  (1.65e-27, 1.64e-87j)
| (7.3794298312026888896e-09 + 2.6909975757784191655e-476j)  +/-  (5.09e-32, 5.58e-92j)
