Starting with polynomial:
P : 137438953472*t^38 - 1305670057984*t^36 + 5712306503680*t^34 - 15260018802688*t^32 + 27827093110784*t^30 - 36681168191488*t^28 + 36108024938496*t^26 - 27039419596800*t^24 + 15547666268160*t^22 - 6880289095680*t^20 + 2334383800320*t^18 - 601280675840*t^16 + 115630899200*t^14 - 16188325888*t^12 + 1589924864*t^10 - 103690752*t^8 + 4124064*t^6 - 86640*t^4 + 722*t^2 - 1
Extension levels are: 38
-------------------------------------------------
Ending with final polynomial:
P : 137438953472*t^38 - 1305670057984*t^36 + 5712306503680*t^34 - 15260018802688*t^32 + 27827093110784*t^30 - 36681168191488*t^28 + 36108024938496*t^26 - 27039419596800*t^24 + 15547666268160*t^22 - 6880289095680*t^20 + 2334383800320*t^18 - 601280675840*t^16 + 115630899200*t^14 - 16188325888*t^12 + 1589924864*t^10 - 103690752*t^8 + 4124064*t^6 - 86640*t^4 + 722*t^2 - 1
-------------------------------------------------
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:
| (-0.99914575838730102919 - 4.6601618644863554004e-928j)  +/-  (6.33e-243, 6.33e-243j)
| (-0.99232057973704506275 + 1.9020307323194451398e-940j)  +/-  (1.92e-242, 1.92e-242j)
| (-0.93159108805127897294 + 2.2452978652276555303e-948j)  +/-  (9.66e-243, 9.66e-243j)
| (0.99232057973704506275 - 1.7973941979826145214e-952j)  +/-  (1.66e-242, 1.66e-242j)
| (0.89839098189197887157 - 3.9754556938908284718e-961j)  +/-  (4.64e-243, 4.64e-243j)
| (0.93159108805127897294 - 3.8268432732111767869e-967j)  +/-  (9.48e-243, 9.48e-243j)
| (-0.8138487172701949671 - 7.9018623614692477397e-975j)  +/-  (6.06e-244, 6.06e-244j)
| (-0.89839098189197887157 + 2.0965716413070123332e-974j)  +/-  (4.49e-243, 4.49e-243j)
| (-0.97871684532735448364 - 3.1666423146244567587e-973j)  +/-  (1.87e-242, 1.87e-242j)
| (0.99914575838730102919 - 1.2084864283013150311e-973j)  +/-  (7.08e-243, 7.08e-243j)
| (0.8590539543698851819 - 2.0928285787948144742e-993j)  +/-  (1.62e-243, 1.62e-243j)
| (0.97871684532735448364 + 1.1101131749626040449e-1005j)  +/-  (1.95e-242, 1.95e-242j)
| (-0.95842748245825270023 + 8.1254466508606908018e-1017j)  +/-  (1.36e-242, 1.36e-242j)
| (-0.8590539543698851819 + 2.8144212921463453241e-1023j)  +/-  (1.86e-243, 1.86e-243j)
| (0.95842748245825270023 - 3.8546616196627057586e-1022j)  +/-  (2.01e-242, 2.01e-242j)
| (0.8138487172701949671 - 4.2188160683748018292e-1034j)  +/-  (5.68e-244, 5.68e-244j)
| (0.76308406819980650614 - 5.388484141491509458e-1045j)  +/-  (1.17e-244, 1.17e-244j)
| (-0.28533622424910530907 - 3.1935098096531255848e-1054j)  +/-  (2.03e-251, 2.03e-251j)
| (-0.76308406819980650614 + 1.2654363686324012597e-1048j)  +/-  (1.13e-244, 1.13e-244j)
| (-0.51188504908960100217 + 2.5499787008341669161e-1054j)  +/-  (5.76e-248, 5.76e-248j)
| (0.28533622424910530907 + 9.2673690475397717153e-1056j)  +/-  (2.13e-251, 2.13e-251j)
| (0.7071067811865475244 + 6.2896799854738748053e-1052j)  +/-  (2.29e-245, 2.29e-245j)
| (0.20521534219563429132 + 1.0236929014521627479e-1058j)  +/-  (1.36e-252, 1.36e-252j)
| (-0.58107681540193828 + 2.5846847457393246712e-1054j)  +/-  (5.41e-247, 5.41e-247j)
| (-0.7071067811865475244 + 6.9281506418805488249e-1055j)  +/-  (2.24e-245, 2.24e-245j)
| (-0.041324974248813211938 + 1.0175694480810633214e-1061j)  +/-  (2.4e-255, 2.4e-255j)
| (0.64629923786094089199 - 1.2499561880352823199e-1055j)  +/-  (3.46e-246, 3.46e-246j)
| (0.36350797056382984848 - 5.037720537590448e-1059j)  +/-  (3.82e-250, 3.82e-250j)
| (-0.12369263126934761602 - 1.2184747629256965799e-1063j)  +/-  (6.08e-254, 6.08e-254j)
| (-0.64629923786094089199 + 1.7867138370394478219e-1059j)  +/-  (3.5e-246, 3.5e-246j)
| (-0.20521534219563429132 + 1.794381922355244441e-1064j)  +/-  (1.31e-252, 1.31e-252j)
| (0.43919658884737036545 + 1.8097437568330412549e-1058j)  +/-  (4.72e-249, 4.72e-249j)
| (0.58107681540193828 - 5.9421495034552321504e-1061j)  +/-  (5.34e-247, 5.34e-247j)
| (0.041324974248813211938 + 5.8869872010987544902e-1066j)  +/-  (2.4e-255, 2.4e-255j)
| (-0.43919658884737036545 - 2.3396867318833442779e-1066j)  +/-  (5.22e-249, 5.22e-249j)
| (-0.36350797056382984848 + 2.1326937315414091516e-1067j)  +/-  (3.2e-250, 3.2e-250j)
| (0.12369263126934761602 - 7.3875541535136016509e-1066j)  +/-  (5.76e-254, 5.76e-254j)
| (0.51188504908960100217 - 8.5311948601200471535e-1067j)  +/-  (5.24e-248, 5.24e-248j)
-------------------------------------------------
The weights are:
| (0.026315789473684210526 - 3.5874931054715538841e-927j)  +/-  (3.25e-78, 9.29e-196j)
| (0.026315789473684210526 + 5.3781711409892854082e-927j)  +/-  (2.61e-78, 7.45e-196j)
| (0.026315789473684210526 - 1.5968472413269377077e-927j)  +/-  (3.17e-79, 9.03e-197j)
| (0.026315789473684210526 - 1.8432136233585080346e-929j)  +/-  (4.12e-80, 1.18e-197j)
| (0.026315789473684210526 - 6.8686846564491630793e-929j)  +/-  (3.28e-80, 9.35e-198j)
| (0.026315789473684210526 + 5.5872186395473962939e-929j)  +/-  (2.63e-80, 7.51e-198j)
| (0.026315789473684210526 + 9.3061463201269732329e-928j)  +/-  (1.62e-80, 4.63e-198j)
| (0.026315789473684210526 + 1.2935944028033347135e-927j)  +/-  (5.39e-80, 1.54e-197j)
| (0.026315789473684210526 - 2.9810508165204818849e-927j)  +/-  (1.54e-79, 4.39e-197j)
| (0.026315789473684210526 + 6.1370344371513510743e-930j)  +/-  (1.11e-81, 3.17e-199j)
| (0.026315789473684210526 + 8.1749455711153176571e-929j)  +/-  (1.87e-82, 5.33e-200j)
| (0.026315789473684210526 + 3.0790626125191344946e-929j)  +/-  (7.7e-82, 2.2e-199j)
| (0.026315789473684210526 + 2.0795642478633339982e-927j)  +/-  (1.73e-81, 4.92e-199j)
| (0.026315789473684210526 - 1.0843376326400756064e-927j)  +/-  (8.5e-83, 2.43e-200j)
| (0.026315789473684210526 - 4.3255735770124111501e-929j)  +/-  (5.15e-82, 1.47e-199j)
| (0.026315789473684210526 - 9.5113438042716477793e-929j)  +/-  (6.13e-84, 1.75e-201j)
| (0.026315789473684210526 + 1.0883683640895451252e-928j)  +/-  (7.39e-85, 2.11e-202j)
| (0.026315789473684210526 + 3.9845724456189603002e-928j)  +/-  (5.01e-88, 1.43e-205j)
| (0.026315789473684210526 - 8.1248049693665387185e-928j)  +/-  (9.19e-86, 2.62e-203j)
| (0.026315789473684210526 - 5.2319533329350111492e-928j)  +/-  (7.86e-88, 2.24e-205j)
| (0.026315789473684210526 - 2.2142979345723250007e-928j)  +/-  (2.83e-89, 8.08e-207j)
| (0.026315789473684210526 - 1.2298340264881807113e-928j)  +/-  (1.35e-87, 3.85e-205j)
| (0.026315789473684210526 + 2.4115993424818780871e-928j)  +/-  (1.86e-89, 5.32e-207j)
| (0.026315789473684210526 + 5.7769763588619027687e-928j)  +/-  (1.3e-88, 3.71e-206j)
| (0.026315789473684210526 + 7.1853676898317172938e-928j)  +/-  (6.68e-88, 1.91e-205j)
| (0.026315789473684210526 - 3.0956325579170564443e-928j)  +/-  (9.09e-91, 2.6e-208j)
| (0.026315789473684210526 + 1.3762389037858771521e-928j)  +/-  (9.59e-90, 2.74e-207j)
| (0.026315789473684210526 + 2.0288251953171383332e-928j)  +/-  (1.38e-90, 3.93e-208j)
| (0.026315789473684210526 + 3.3637515684788431789e-928j)  +/-  (5.26e-91, 1.5e-208j)
| (0.026315789473684210526 - 6.417876572790140076e-928j)  +/-  (1.06e-89, 3.03e-207j)
| (0.026315789473684210526 - 3.658301003516893118e-928j)  +/-  (3.41e-91, 9.74e-209j)
| (0.026315789473684210526 - 1.8535654689131024393e-928j)  +/-  (1.31e-91, 3.73e-209j)
| (0.026315789473684210526 - 1.5283760908499354757e-928j)  +/-  (1.43e-91, 4.09e-209j)
| (0.026315789473684210526 + 2.8497305219883815107e-928j)  +/-  (6.42e-92, 1.84e-209j)
| (0.026315789473684210526 + 4.7612566503136651399e-928j)  +/-  (4.43e-92, 1.26e-209j)
| (0.026315789473684210526 - 4.3493106777923118904e-928j)  +/-  (3.5e-92, 9.97e-210j)
| (0.026315789473684210526 - 2.622645303722837613e-928j)  +/-  (1.2e-92, 3.49e-210j)
| (0.026315789473684210526 + 1.6871431604198747951e-928j)  +/-  (7.82e-93, 2.11e-210j)
