Starting with polynomial:
P : t
Extension levels are: 1 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^37 - 666/73*t^35 + 198135/5183*t^33 - 11623920/119209*t^31 + 1351280700/7987003*t^29 - 21944798568/103831039*t^27 + 1567485612/7987003*t^25 - 67177954800/487207183*t^23 + 92369687850/1249792339*t^21 - 718430905500/23746054441*t^19 + 11756142090/1249792339*t^17 - 145348665840/66238993967*t^15 + 24937271100/66238993967*t^13 - 3053543400/66238993967*t^11 + 83972443500/21792629015143*t^9 - 4478530320/21792629015143*t^7 + 839724435/133869006807307*t^5 - 493955550/5488629279099587*t^3 + 27441975/71352180628294631*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
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.99794458247791364894 - 1.6890467485697071322e-888j)  +/-  (2.41e-243, 2.41e-243j)
| (-0.98918596321431918668 - 3.4134323902835919174e-890j)  +/-  (6.5e-243, 6.5e-243j)
| (-0.92178143741246374267 + 6.8733692541247374247e-893j)  +/-  (4.93e-243, 4.93e-243j)
| (0.99794458247791364894 - 1.827249337834080967e-892j)  +/-  (2.41e-243, 2.41e-243j)
| (0.92178143741246374267 + 1.6129247351300069529e-920j)  +/-  (4.65e-243, 4.65e-243j)
| (0.95097234326209482133 - 3.7382951947746024419e-937j)  +/-  (7.01e-243, 7.01e-243j)
| (0.083670408954769901943 - 1.9449168545755244498e-965j)  +/-  (1.83e-254, 1.83e-254j)
| (-0.88612496215548607895 - 2.2306099581279903982e-953j)  +/-  (2.33e-243, 2.33e-243j)
| (-0.97349303005648574433 - 1.1606352856665592648e-952j)  +/-  (8.35e-243, 8.35e-243j)
| (0.98918596321431918668 + 1.2534698198286735308e-957j)  +/-  (6.46e-243, 6.46e-243j)
| (0.88612496215548607895 + 3.339136362734950094e-975j)  +/-  (2.2e-243, 2.2e-243j)
| (0.97349303005648574433 - 1.3560943775732821809e-994j)  +/-  (8.07e-243, 8.07e-243j)
| (-0.95097234326209482133 - 6.2163422600025050916e-1005j)  +/-  (7.42e-243, 7.42e-243j)
| (-0.84425298734055596799 - 2.7914165452743492835e-1006j)  +/-  (9.02e-244, 9.02e-244j)
| (0.48171087780320555415 + 1.9674799943789402644e-1010j)  +/-  (2.49e-248, 2.49e-248j)
| (0.84425298734055596799 - 9.0571049438213350549e-1006j)  +/-  (9.18e-244, 9.18e-244j)
| (0.79645920050990229339 - 7.9131266019742328378e-1010j)  +/-  (2.76e-244, 2.76e-244j)
| (-0.3288374298837069995 - 1.584707709338192742e-1019j)  +/-  (1.25e-250, 1.25e-250j)
| (-0.79645920050990229339 + 1.7107224774661767644e-1012j)  +/-  (2.71e-244, 2.71e-244j)
| (-0.74307883398196526255 - 5.8762056973141391367e-1014j)  +/-  (6.46e-245, 6.46e-245j)
| (0.74307883398196526255 + 7.8872772396264074657e-1015j)  +/-  (6.48e-245, 6.48e-245j)
| (0.68448630913095935745 - 9.8381225341496198913e-1017j)  +/-  (1.2e-245, 1.2e-245j)
| (0.24866779279136575881 - 5.9974263072578674789e-1024j)  +/-  (7.84e-252, 7.84e-252j)
| (-0.68448630913095935745 + 1.6656700446177826572e-1017j)  +/-  (1.31e-245, 1.31e-245j)
| (-0.55334239186158178124 + 1.3917815153975367364e-1019j)  +/-  (2.42e-247, 2.42e-247j)
| (4.2020289880520198436e-1029 + 7.9122644301144783166e-1029j)  +/-  (3.31e-1027, 3.31e-1027j)
| (0.62109260840892448315 + 4.3848873067649601539e-1020j)  +/-  (1.85e-246, 1.85e-246j)
| (0.4067005093183261101 + 1.5946555423971293395e-1024j)  +/-  (1.96e-249, 1.96e-249j)
| (-0.24866779279136575881 + 7.2653858650730862162e-1026j)  +/-  (9.56e-252, 9.56e-252j)
| (-0.62109260840892448315 - 1.0445760630247148775e-1022j)  +/-  (2.11e-246, 2.11e-246j)
| (-0.16675393023985197697 - 1.1174217413144769747e-1030j)  +/-  (4.04e-253, 4.04e-253j)
| (0.3288374298837069995 + 4.8567780861252156523e-1026j)  +/-  (1.25e-250, 1.25e-250j)
| (0.55334239186158178124 - 6.739487960150502011e-1025j)  +/-  (2.54e-247, 2.54e-247j)
| (-0.083670408954769901943 + 3.3643445439215314378e-1032j)  +/-  (1.83e-254, 1.83e-254j)
| (-0.48171087780320555415 - 1.1794416092129322055e-1025j)  +/-  (2.5e-248, 2.5e-248j)
| (-0.4067005093183261101 + 7.0511043592725698628e-1027j)  +/-  (1.98e-249, 1.98e-249j)
| (0.16675393023985197697 + 3.4106248956916931083e-1031j)  +/-  (4.16e-253, 4.16e-253j)
-------------------------------------------------
The weights are:
| (0.0052730572794979393517 - 2.1780288397429516633e-888j)  +/-  (7.28e-80, 3.02e-198j)
| (0.012238780100307556526 + 3.5264480084754922681e-888j)  +/-  (5.51e-80, 2.28e-198j)
| (0.032461639847521481067 - 1.7287054340703714625e-888j)  +/-  (1.3e-80, 5.39e-199j)
| (0.0052730572794979393517 - 4.1678764982628004182e-891j)  +/-  (7.56e-82, 3.13e-200j)
| (0.032461639847521481067 - 6.8511772641438464971e-890j)  +/-  (5.13e-82, 2.12e-200j)
| (0.025886036990558933523 + 4.7986583877913800743e-890j)  +/-  (4.8e-82, 1.99e-200j)
| (0.083474573625862787252 + 5.0247621436205523235e-889j)  +/-  (2.33e-83, 9.64e-202j)
| (0.038809602501934544489 + 1.5398232123384673644e-888j)  +/-  (3.76e-82, 1.56e-200j)
| (0.019129044489083966044 - 2.4242218816125887687e-888j)  +/-  (2.08e-81, 8.59e-200j)
| (0.012238780100307556526 + 1.5033060842014632843e-890j)  +/-  (1.99e-82, 8.24e-201j)
| (0.038809602501934544489 + 9.1323567010251951894e-890j)  +/-  (1.47e-83, 6.09e-202j)
| (0.019129044489083966044 - 3.002752383486022999e-890j)  +/-  (1.86e-82, 7.71e-201j)
| (0.025886036990558933523 + 1.9940596777576742459e-888j)  +/-  (5.48e-83, 2.27e-201j)
| (0.044885364662437166657 - 1.3937825979796157099e-888j)  +/-  (2.1e-84, 8.69e-203j)
| (0.073406777248488172725 - 3.0286211812141466693e-889j)  +/-  (6.98e-87, 2.89e-205j)
| (0.044885364662437166657 - 1.1621931646413447992e-889j)  +/-  (5.29e-85, 2.19e-203j)
| (0.050646297654824601604 + 1.4304617217353030695e-889j)  +/-  (7.58e-86, 3.14e-204j)
| (0.079108861837529380767 - 7.493851121915741755e-889j)  +/-  (1.93e-88, 8.01e-207j)
| (0.050646297654824601604 + 1.274464045397958296e-888j)  +/-  (1.85e-86, 7.68e-205j)
| (0.056051987998274917809 - 1.1731768162768428532e-888j)  +/-  (3.09e-87, 1.28e-205j)
| (0.056051987998274917809 - 1.7168624288526246312e-889j)  +/-  (2.68e-87, 1.11e-205j)
| (0.061064516523225986131 + 2.0204816976565423481e-889j)  +/-  (4.69e-88, 1.94e-206j)
| (0.08113662450846503051 + 4.1776952390375544795e-889j)  +/-  (4.53e-90, 1.87e-208j)
| (0.061064516523225986131 + 1.0847208025216096766e-888j)  +/-  (3.07e-89, 1.27e-207j)
| (0.069772451555700344885 + 9.3411222866199759732e-889j)  +/-  (1.67e-90, 6.93e-209j)
| (0.083768360993138904797 - 5.4748824747371305152e-889j)  +/-  (4.25e-91, 1.76e-209j)
| (0.065648722872751249484 - 2.3406227384041296998e-889j)  +/-  (8.16e-90, 3.38e-208j)
| (0.076526207570529237886 + 3.3959981609008929165e-889j)  +/-  (8.91e-91, 3.69e-209j)
| (0.08113662450846503051 + 6.9510118790639328387e-889j)  +/-  (4.06e-92, 1.68e-210j)
| (0.065648722872751249484 - 1.0057749340593821437e-888j)  +/-  (1.66e-91, 6.85e-210j)
| (0.082595272236437250891 - 6.4357224452930303547e-889j)  +/-  (2.19e-92, 9.08e-211j)
| (0.079108861837529380767 - 3.7789437072836668868e-889j)  +/-  (3.49e-92, 1.44e-210j)
| (0.069772451555700344885 + 2.6767788128601008245e-889j)  +/-  (8.13e-92, 3.37e-210j)
| (0.083474573625862787252 + 5.9445474156900707084e-889j)  +/-  (9.98e-93, 4.13e-211j)
| (0.073406777248488172725 - 8.6818301850772629027e-889j)  +/-  (1.29e-93, 5.34e-212j)
| (0.076526207570529237886 + 8.0687787568651352246e-889j)  +/-  (1.16e-93, 4.8e-212j)
| (0.082595272236437250891 - 4.5927214816816638904e-889j)  +/-  (1.22e-93, 5.01e-212j)
