Starting with polynomial:
P : 137438953472*t^37 - 1236950581248*t^35 + 5111011082240*t^33 - 12850542149632*t^31 + 21968757719040*t^29 - 27028229193728*t^27 + 24705490747392*t^25 - 17077528166400*t^23 + 9001280471040*t^21 - 3621204787200*t^19 + 1105760747520*t^17 - 253170810880*t^15 + 42600857600*t^13 - 5112102912*t^11 + 418401280*t^9 - 21829632*t^7 + 651168*t^5 - 9120*t^3 + 38*t
Extension levels are: 37
-------------------------------------------------
Ending with final polynomial:
P : 137438953472*t^37 - 1236950581248*t^35 + 5111011082240*t^33 - 12850542149632*t^31 + 21968757719040*t^29 - 27028229193728*t^27 + 24705490747392*t^25 - 17077528166400*t^23 + 9001280471040*t^21 - 3621204787200*t^19 + 1105760747520*t^17 - 253170810880*t^15 + 42600857600*t^13 - 5112102912*t^11 + 418401280*t^9 - 21829632*t^7 + 651168*t^5 - 9120*t^3 + 38*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:
| (-0.99658449300666984982 - 9.7279178596690838675e-912j)  +/-  (6.52e-244, 6.52e-244j)
| (-0.9863613034027223736 - 1.1767651947535858461e-933j)  +/-  (1.9e-243, 1.9e-243j)
| (-0.91577332665505743992 + 3.8413884580306332607e-950j)  +/-  (1.67e-243, 1.67e-243j)
| (0.99658449300666984982 + 2.1072301994905585177e-962j)  +/-  (6.42e-244, 6.42e-244j)
| (0.91577332665505743992 - 2.5073886602698234061e-964j)  +/-  (1.86e-243, 1.86e-243j)
| (0.94581724170063467902 - 1.7756908696276275945e-964j)  +/-  (2.47e-243, 2.47e-243j)
| (0.0825793454723323246 + 5.2720277407502475384e-977j)  +/-  (8.49e-255, 8.49e-255j)
| (-0.87947375120648907139 + 1.1319951683919226528e-970j)  +/-  (1e-243, 1e-243j)
| (-0.96940026593933041674 - 4.1992435319141651286e-988j)  +/-  (3.1e-243, 3.1e-243j)
| (0.9863613034027223736 - 1.0032855718053901526e-1004j)  +/-  (2.15e-243, 2.15e-243j)
| (0.87947375120648907139 - 2.4742658746721080571e-1006j)  +/-  (1.01e-243, 1.01e-243j)
| (0.96940026593933041674 + 6.884324541533291103e-1006j)  +/-  (2.92e-243, 2.92e-243j)
| (-0.94581724170063467902 + 4.8806936338821391832e-1006j)  +/-  (2.56e-243, 2.56e-243j)
| (-0.83716647826252857481 + 6.1549743372431898524e-1016j)  +/-  (3.58e-244, 3.58e-244j)
| (0.32469946920468348741 - 2.5395379493042478157e-1027j)  +/-  (6.19e-251, 6.19e-251j)
| (0.83716647826252857481 + 2.6541373442892586501e-1020j)  +/-  (3.8e-244, 3.8e-244j)
| (0.78914050939639359922 + 9.2921903702734821908e-1024j)  +/-  (1.07e-244, 1.07e-244j)
| (-0.32469946920468348741 - 1.9187953700940164874e-1029j)  +/-  (6.54e-251, 6.54e-251j)
| (-0.78914050939639359922 - 2.3345308750730164064e-1023j)  +/-  (1.19e-244, 1.19e-244j)
| (-0.73572391067313162477 + 1.8366207792769124571e-1029j)  +/-  (3.05e-245, 3.05e-245j)
| (0.73572391067313162477 - 5.4836717980473068273e-1032j)  +/-  (2.62e-245, 2.62e-245j)
| (0.67728157162574107476 + 1.1804815873660227939e-1034j)  +/-  (5.25e-246, 5.25e-246j)
| (0.24548548714079914892 - 1.1104256583258493492e-1040j)  +/-  (3.31e-252, 3.31e-252j)
| (-0.67728157162574107476 + 2.6075110342678964861e-1033j)  +/-  (6.03e-246, 6.03e-246j)
| (-0.54694815812242687471 - 2.6951892358736273364e-1037j)  +/-  (1.19e-247, 1.19e-247j)
| (-1.0986211703378333326e-1043 + 1.0803281297397152649e-1041j)  +/-  (4e-1040, 4e-1040j)
| (0.61421271268966781744 + 6.5798283338009326662e-1040j)  +/-  (9.81e-247, 9.81e-247j)
| (0.40169542465296945752 - 1.5103711901827238863e-1042j)  +/-  (1.18e-249, 1.18e-249j)
| (-0.24548548714079914892 + 1.1387623156305805766e-1041j)  +/-  (4.05e-252, 4.05e-252j)
| (-0.61421271268966781744 + 4.7936402651907988565e-1040j)  +/-  (9.85e-247, 9.85e-247j)
| (-0.16459459028073389414 - 3.834942941040144574e-1043j)  +/-  (2.67e-253, 2.67e-253j)
| (0.47594739303707354443 - 1.6910855177907269216e-1041j)  +/-  (1.24e-248, 1.24e-248j)
| (0.54694815812242687471 - 6.436673248751820788e-1044j)  +/-  (1.31e-247, 1.31e-247j)
| (-0.0825793454723323246 - 5.8396022314462265654e-1048j)  +/-  (8.49e-255, 8.49e-255j)
| (-0.47594739303707354443 - 5.0248179195986191626e-1045j)  +/-  (1.22e-248, 1.22e-248j)
| (-0.40169542465296945752 + 4.5602833182559817621e-1050j)  +/-  (1e-249, 1e-249j)
| (0.16459459028073389414 - 4.0948592202649420963e-1053j)  +/-  (2.67e-253, 2.67e-253j)
-------------------------------------------------
The weights are:
| (0.00017945653417470561049 - 3.8268521400745432283e-913j)  +/-  (1.1e-78, 3.01e-198j)
| (0.000712931030254806855 + 6.783924362754729276e-913j)  +/-  (8.1e-79, 2.21e-198j)
| (0.0042462951101876174373 - 5.1116215623084397102e-913j)  +/-  (2.05e-79, 5.6e-199j)
| (0.00017945653417470561049 - 8.7586072033169308374e-916j)  +/-  (1.17e-80, 3.19e-200j)
| (0.0042462951101876174373 - 2.1600356175564693793e-914j)  +/-  (9.07e-81, 2.48e-200j)
| (0.0027744669816264000103 + 1.3895059100991100327e-914j)  +/-  (8.21e-81, 2.24e-200j)
| (0.026136332939509504916 + 2.3560101897674825341e-913j)  +/-  (5.74e-82, 1.57e-201j)
| (0.0059612084457575411222 + 4.9517358709622184944e-913j)  +/-  (1.21e-80, 3.3e-200j)
| (0.001585871694651459587 - 5.6750664800319809409e-913j)  +/-  (3.82e-80, 1.04e-199j)
| (0.000712931030254806855 + 3.4974907102786838245e-915j)  +/-  (2.8e-81, 7.65e-201j)
| (0.0059612084457575411222 + 3.0910632057170869203e-914j)  +/-  (2.56e-82, 6.98e-202j)
| (0.001585871694651459587 - 7.8470748622763609197e-915j)  +/-  (2.75e-81, 7.51e-201j)
| (0.0027744669816264000103 + 5.3163774297973678244e-913j)  +/-  (9.91e-82, 2.71e-201j)
| (0.00787242862298724398 - 4.8038698213272135136e-913j)  +/-  (4.63e-83, 1.27e-202j)
| (0.023541322492057810516 - 1.7332235769171201138e-913j)  +/-  (1.78e-85, 4.85e-205j)
| (0.00787242862298724398 - 4.1762671268019881157e-914j)  +/-  (1.21e-83, 3.3e-203j)
| (0.00992782253762106383 + 5.4082819046261180436e-914j)  +/-  (1.9e-84, 5.19e-204j)
| (0.023541322492057810516 - 3.4084410784278838357e-913j)  +/-  (3.31e-87, 9.05e-207j)
| (0.00992782253762106383 + 4.6555720966479265755e-913j)  +/-  (1.66e-85, 4.54e-205j)
| (0.012071324401679837834 - 4.5015943453969267653e-913j)  +/-  (2.82e-86, 7.71e-206j)
| (0.012071324401679837834 - 6.7787497877119326927e-914j)  +/-  (1.38e-86, 3.77e-206j)
| (0.014244465072004372692 + 8.2783795611397509697e-914j)  +/-  (2.37e-87, 6.47e-207j)
| (0.024729917779032750939 + 1.9368522923502115059e-913j)  +/-  (6.19e-89, 1.69e-208j)
| (0.014244465072004372692 + 4.3397343681071689954e-913j)  +/-  (1.59e-88, 4.35e-208j)
| (0.018443360850696966546 + 3.990235785949246984e-913j)  +/-  (1e-89, 2.74e-209j)
| (0.026315789473684210526 - 2.5687519744563293472e-913j)  +/-  (3.3e-90, 9.03e-210j)
| (0.016387966936063146696 - 9.8970122171324785851e-914j)  +/-  (1.65e-89, 4.51e-209j)
| (0.022069494363496593089 + 1.5353880554321403223e-913j)  +/-  (2.3e-90, 6.29e-210j)
| (0.024729917779032750939 + 3.2029147549392599483e-913j)  +/-  (4.11e-91, 1.12e-210j)
| (0.016387966936063146696 - 4.1692615524301683988e-913j)  +/-  (1.58e-90, 4.33e-210j)
| (0.025602858443429403671 - 2.9935760409397594865e-913j)  +/-  (2.5e-91, 6.82e-211j)
| (0.020354581027926669404 - 1.3446750741652006688e-913j)  +/-  (4.32e-91, 1.18e-210j)
| (0.018443360850696966546 + 1.1623693174263198758e-913j)  +/-  (4.98e-91, 1.36e-210j)
| (0.026136332939509504916 + 2.7817359746210847831e-913j)  +/-  (5.63e-92, 1.54e-211j)
| (0.020354581027926669404 - 3.8031806092806759452e-913j)  +/-  (7.59e-93, 2.08e-212j)
| (0.022069494363496593089 + 3.6089119769280636711e-913j)  +/-  (6.94e-93, 1.91e-212j)
| (0.025602858443429403671 - 2.1449103544416048536e-913j)  +/-  (7.72e-93, 1.98e-212j)
