Starting with polynomial:
P : 17179869184*t^34 - 4818953306112*t^32 + 597550209957888*t^30 - 43322390221946880*t^28 + 2046982937986990080*t^26 - 66526945484577177600*t^24 + 1530119746145275084800*t^22 - 25246975811397038899200*t^20 + 299807837760339836928000*t^18 - 2548366620962888613888000*t^16 + 15290199725777331683328000*t^14 - 63245826138442599235584000*t^12 + 173926021880717147897856000*t^10 - 301025807101241217515520000*t^8 + 301025807101241217515520000*t^6 - 150512903550620608757760000*t^4 + 28221169415741364142080000*t^2 - 830034394580628357120000
Extension levels are: 34
-------------------------------------------------
Ending with final polynomial:
P : 17179869184*t^34 - 4818953306112*t^32 + 597550209957888*t^30 - 43322390221946880*t^28 + 2046982937986990080*t^26 - 66526945484577177600*t^24 + 1530119746145275084800*t^22 - 25246975811397038899200*t^20 + 299807837760339836928000*t^18 - 2548366620962888613888000*t^16 + 15290199725777331683328000*t^14 - 63245826138442599235584000*t^12 + 173926021880717147897856000*t^10 - 301025807101241217515520000*t^8 + 301025807101241217515520000*t^6 - 150512903550620608757760000*t^4 + 28221169415741364142080000*t^2 - 830034394580628357120000
-------------------------------------------------
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:
| (-5.5518613309887777186 - 9.8174455928460576917e-981j)  +/-  (2.86e-247, 2.86e-247j)
| (4.1506656029707810663 - 7.1291970299117980873e-979j)  +/-  (2.53e-247, 2.53e-247j)
| (5.5518613309887777186 + 1.3636625423404151762e-985j)  +/-  (1.9e-247, 1.9e-247j)
| (7.3798909504812463326 - 1.9671527115269948442e-996j)  +/-  (4.46e-249, 4.46e-249j)
| (6.0816169939363162586 - 2.0803137163969526491e-993j)  +/-  (9.49e-248, 9.49e-248j)
| (-6.6716591360701698734 - 5.0683828949372070102e-1001j)  +/-  (2.98e-248, 2.98e-248j)
| (-6.0816169939363162586 + 3.0830244636435569316e-1000j)  +/-  (1.06e-247, 1.06e-247j)
| (-5.0602960186057619162 - 5.2203801247980587133e-999j)  +/-  (3.22e-247, 3.22e-247j)
| (-3.7211752324761529648 - 1.6371419864904311319e-1000j)  +/-  (1.41e-247, 1.41e-247j)
| (1.3293355518847857799 - 1.30436300714100672e-1005j)  +/-  (2.37e-251, 2.37e-251j)
| (-2.8961389431744316571 + 7.63832869862047652e-1002j)  +/-  (2.28e-248, 2.28e-248j)
| (-7.3798909504812463326 + 1.1513001813832061834e-1002j)  +/-  (3.92e-249, 3.92e-249j)
| (-4.1506656029707810663 + 8.6144308625896967084e-1001j)  +/-  (2.54e-247, 2.54e-247j)
| (-2.496271940816547332 + 3.4352707925879991541e-1004j)  +/-  (4.97e-249, 4.97e-249j)
| (-4.5955197481081702914 + 3.3837607141588909349e-1004j)  +/-  (4.21e-247, 4.21e-247j)
| (1.7140625533873380541 - 2.7691095152840979868e-1003j)  +/-  (1.7e-250, 1.7e-250j)
| (3.7211752324761529648 + 2.3428754582407092837e-1001j)  +/-  (1.4e-247, 1.4e-247j)
| (6.6716591360701698734 - 1.2844830778880748456e-1010j)  +/-  (2.84e-248, 2.84e-248j)
| (3.3038084315644160093 - 7.6492618697360418344e-1016j)  +/-  (6.21e-248, 6.21e-248j)
| (-2.1026736904673325473 - 1.5815478788171966889e-1031j)  +/-  (9.84e-250, 9.84e-250j)
| (2.8961389431744316571 + 9.1845454773139041471e-1030j)  +/-  (2.56e-248, 2.56e-248j)
| (0.18910806052714248129 + 4.625066552687789907e-1048j)  +/-  (1.03e-254, 1.03e-254j)
| (2.1026736904673325473 + 4.1723552868069198438e-1043j)  +/-  (9.11e-250, 9.11e-250j)
| (-3.3038084315644160093 + 8.1639927517558982521e-1051j)  +/-  (5.66e-248, 5.66e-248j)
| (-1.3293355518847857799 + 3.0916703325464591756e-1056j)  +/-  (2.34e-251, 2.34e-251j)
| (4.5955197481081702914 + 2.2510237652427908229e-1061j)  +/-  (3.74e-247, 3.74e-247j)
| (2.496271940816547332 - 5.2326012603827284074e-1084j)  +/-  (5.89e-249, 5.89e-249j)
| (5.0602960186057619162 + 5.3653261047397842997e-1103j)  +/-  (3.12e-247, 3.12e-247j)
| (-1.7140625533873380541 + 1.8622422409800736139e-1111j)  +/-  (1.61e-250, 1.61e-250j)
| (-0.94751645803344732117 - 9.3383164066653426541e-1114j)  +/-  (2.64e-252, 2.64e-252j)
| (-0.18910806052714248129 + 7.3431609750364819492e-1116j)  +/-  (1.03e-254, 1.03e-254j)
| (0.56771726855487458915 + 2.7231175684897140854e-1115j)  +/-  (1.62e-253, 1.62e-253j)
| (0.94751645803344732117 + 5.5694974049055230988e-1116j)  +/-  (2.54e-252, 2.54e-252j)
| (-0.56771726855487458915 + 1.1396955443213528936e-1114j)  +/-  (1.39e-253, 1.39e-253j)
-------------------------------------------------
The weights are:
| (1.1779377906225182927e-14 + 7.1785611266341218283e-991j)  +/-  (1.08e-87, 6.24e-211j)
| (8.1174090401222649454e-09 + 2.4020144485633928859e-986j)  +/-  (7.23e-84, 4.17e-207j)
| (1.1779377906225182927e-14 + 4.9752237182799479118e-990j)  +/-  (3.31e-88, 1.91e-211j)
| (1.0233271298054581444e-24 - 2.0121484726021676959e-995j)  +/-  (5.04e-93, 2.91e-216j)
| (2.7080547092623234842e-17 - 1.7310431943222273124e-991j)  +/-  (9.77e-90, 5.64e-213j)
| (1.6681443755785366433e-20 + 7.6668189995617518432e-994j)  +/-  (2.55e-93, 1.47e-216j)
| (2.7080547092623234842e-17 - 3.2677186311221983949e-992j)  +/-  (6.8e-92, 3.93e-215j)
| (2.036657679770806884e-12 - 9.9487464695585110187e-990j)  +/-  (3.83e-90, 2.21e-213j)
| (2.3120342643228853594e-07 + 3.9231885621142476246e-987j)  +/-  (5.05e-88, 2.92e-211j)
| (0.036923462958044258767 - 4.3746538763306197842e-984j)  +/-  (6.38e-79, 3.68e-202j)
| (5.182712643366909242e-05 + 6.5617027915565051426e-986j)  +/-  (3.27e-86, 1.88e-209j)
| (1.0233271298054581444e-24 - 5.6357503526150287258e-996j)  +/-  (1.85e-96, 1.07e-219j)
| (8.1174090401222649454e-09 - 6.9705592450999869493e-988j)  +/-  (2.59e-89, 1.49e-212j)
| (0.00043996496677462378165 - 2.0268476737796840865e-985j)  +/-  (1.98e-86, 1.14e-209j)
| (1.7243055667452884664e-10 + 9.6421055051105200781e-989j)  +/-  (3.77e-90, 2.18e-213j)
| (0.011550738946777123932 + 2.833133359982948015e-984j)  +/-  (4.3e-86, 2.48e-209j)
| (2.3120342643228853594e-07 - 7.1910565033194170205e-986j)  +/-  (6.32e-93, 3.65e-216j)
| (1.6681443755785366433e-20 + 3.2907576919018748503e-993j)  +/-  (4.34e-99, 2.51e-222j)
| (4.2277257483877443905e-06 + 1.5595233365623618e-985j)  +/-  (1.92e-92, 1.11e-215j)
| (0.0026508242383101953263 + 5.288283687549333534e-985j)  +/-  (1.85e-89, 1.07e-212j)
| (5.182712643366909242e-05 - 3.6859287267578643011e-985j)  +/-  (5.42e-92, 3.13e-215j)
| (0.20592493666911354384 + 7.3575439260913435859e-984j)  +/-  (2.84e-88, 1.64e-211j)
| (0.0026508242383101953263 - 1.6147661418918885301e-984j)  +/-  (1.62e-90, 9.35e-214j)
| (4.2277257483877443905e-06 - 1.7715843702307925783e-986j)  +/-  (1.08e-91, 6.22e-215j)
| (0.036923462958044258767 + 2.2522186264577047947e-984j)  +/-  (1.39e-89, 8e-213j)
| (1.7243055667452884664e-10 + 1.8960034452559783361e-987j)  +/-  (8.09e-96, 4.67e-219j)
| (0.00043996496677462378165 + 8.1436301658243776802e-985j)  +/-  (2.43e-92, 1.4e-215j)
| (2.036657679770806884e-12 - 1.0077295558883895054e-988j)  +/-  (7.78e-97, 4.49e-220j)
| (0.011550738946777123932 - 1.1770511107416569971e-984j)  +/-  (3.61e-92, 2.09e-215j)
| (0.087511681358623896726 - 3.7269968816325467742e-984j)  +/-  (1.04e-91, 6.03e-215j)
| (0.20592493666911354384 - 6.7163124766705126447e-984j)  +/-  (9.32e-92, 5.47e-215j)
| (0.15494209651485980755 - 7.0564989814840578268e-984j)  +/-  (2.27e-92, 1.33e-215j)
| (0.087511681358623896726 + 5.9320067376757961875e-984j)  +/-  (1.35e-92, 8e-216j)
| (0.15494209651485980755 + 5.3583866491720801354e-984j)  +/-  (1.59e-92, 8.45e-216j)
