Starting with polynomial:
P : t^42 - 861*t^40 + 335790*t^38 - 78686790*t^36 + 12393169425*t^34 - 1390513609485*t^32 + 114949125050760*t^30 - 7143267056725800*t^28 + 337519368430294050*t^26 - 12188199415538396250*t^24 + 336394303868859736500*t^22 - 7064280381246054466500*t^20 + 111851106036395862386250*t^18 - 1316401478736043611161250*t^16 + 11283441246308945238525000*t^14 - 68452876894274267780385000*t^12 + 282368117188881354594088125*t^10 - 747445016088215350396115625*t^8 + 1162692247248334989505068750*t^6 - 917914932038159202240843750*t^4 + 275374479611447760672253125*t^2 - 13113070457687988603440625
Extension levels are: 42
-------------------------------------------------
Ending with final polynomial:
P : t^42 - 861*t^40 + 335790*t^38 - 78686790*t^36 + 12393169425*t^34 - 1390513609485*t^32 + 114949125050760*t^30 - 7143267056725800*t^28 + 337519368430294050*t^26 - 12188199415538396250*t^24 + 336394303868859736500*t^22 - 7064280381246054466500*t^20 + 111851106036395862386250*t^18 - 1316401478736043611161250*t^16 + 11283441246308945238525000*t^14 - 68452876894274267780385000*t^12 + 282368117188881354594088125*t^10 - 747445016088215350396115625*t^8 + 1162692247248334989505068750*t^6 - 917914932038159202240843750*t^4 + 275374479611447760672253125*t^2 - 13113070457687988603440625
-------------------------------------------------
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:
| (9.2942358159250327143 - 2.522806203452783959e-648j)  +/-  (1.36e-245, 1.36e-245j)
| (10.811356218188933082 - 9.4938890171076622603e-671j)  +/-  (8.91e-247, 8.91e-247j)
| (-10.811356218188933082 + 3.0352478805909567572e-681j)  +/-  (1.01e-246, 1.01e-246j)
| (-6.2748397044582650493 - 4.5828751426670389584e-683j)  +/-  (2.16e-245, 2.16e-245j)
| (3.6628624410459847365 - 2.9254625350948928985e-685j)  +/-  (1.21e-247, 1.21e-247j)
| (-8.0049544593318689464 - 7.948528601461620385e-682j)  +/-  (3.29e-245, 3.29e-245j)
| (-6.8322829842212056082 - 2.2148116245698648664e-682j)  +/-  (3.56e-245, 3.56e-245j)
| (11.774472556458813693 + 2.3054340757362592022e-687j)  +/-  (9.24e-248, 9.24e-248j)
| (-11.774472556458813693 - 2.7214740110518201763e-698j)  +/-  (8.76e-248, 8.76e-248j)
| (5.2011427612349492802 - 6.4806230524591053221e-710j)  +/-  (5.08e-246, 5.08e-246j)
| (-10.011030952313234401 - 1.73127540488376254e-731j)  +/-  (4.33e-246, 4.33e-246j)
| (8.0049544593318689464 - 3.2039418331151213584e-753j)  +/-  (3.24e-245, 3.24e-245j)
| (-4.168091525525806092 - 2.7736590212721671244e-772j)  +/-  (4.69e-247, 4.69e-247j)
| (-5.7319599419249298127 + 1.2444217444806421397e-771j)  +/-  (1.03e-245, 1.03e-245j)
| (-8.6307365404426578198 - 1.4554476019131942686e-771j)  +/-  (2.41e-245, 2.41e-245j)
| (4.168091525525806092 - 3.2973521095690847156e-771j)  +/-  (4.92e-247, 4.92e-247j)
| (3.1635402835490096134 + 1.8719413932284271633e-779j)  +/-  (2.05e-248, 2.05e-248j)
| (-9.2942358159250327143 + 2.3612403649232715321e-776j)  +/-  (1.11e-245, 1.11e-245j)
| (-4.6803964897033077804 - 7.3003347503246741548e-781j)  +/-  (1.66e-246, 1.66e-246j)
| (-2.6691041166038118577 + 2.4661141901725857387e-787j)  +/-  (3.54e-249, 3.54e-249j)
| (2.6691041166038118577 - 6.1290515841206551155e-787j)  +/-  (3.52e-249, 3.52e-249j)
| (1.2064272778279263822 + 3.6069620369950273208e-790j)  +/-  (3.45e-252, 3.45e-252j)
| (-2.1786452087625009294 - 2.9402296807664782203e-787j)  +/-  (4.31e-250, 4.31e-250j)
| (2.1786452087625009294 - 7.4105073384164798632e-790j)  +/-  (4.09e-250, 4.09e-250j)
| (-3.6628624410459847365 - 2.6609472584672525575e-784j)  +/-  (1.11e-247, 1.11e-247j)
| (7.407531683161433624 + 1.5063571408427882013e-793j)  +/-  (4.16e-245, 4.16e-245j)
| (4.6803964897033077804 + 2.0238200722382089275e-808j)  +/-  (1.86e-246, 1.86e-246j)
| (8.6307365404426578198 + 9.7400823236121887013e-818j)  +/-  (2.33e-245, 2.33e-245j)
| (-1.6913397328349119536 - 2.5214264266966354958e-840j)  +/-  (3.81e-251, 3.81e-251j)
| (-1.2064272778279263822 + 4.143982748971168614e-841j)  +/-  (3.97e-252, 3.97e-252j)
| (-7.407531683161433624 + 7.7198068429826469979e-834j)  +/-  (4.22e-245, 4.22e-245j)
| (-5.2011427612349492802 - 4.8943075442299661915e-836j)  +/-  (4.44e-246, 4.44e-246j)
| (1.6913397328349119536 - 4.8855192787744440141e-840j)  +/-  (5.17e-251, 5.17e-251j)
| (6.8322829842212056082 - 9.2524584868820682426e-834j)  +/-  (3.7e-245, 3.7e-245j)
| (-3.1635402835490096134 - 8.5892210394894656087e-852j)  +/-  (2.37e-248, 2.37e-248j)
| (10.011030952313234401 + 4.317655401369160259e-848j)  +/-  (4.6e-246, 4.6e-246j)
| (6.2748397044582650493 + 7.9895627705869574611e-858j)  +/-  (2.38e-245, 2.38e-245j)
| (0.24095453486659110557 + 2.883823295035737526e-883j)  +/-  (1.84e-254, 1.84e-254j)
| (5.7319599419249298127 - 1.9340539307802226944e-874j)  +/-  (1.1e-245, 1.1e-245j)
| (-0.24095453486659110557 + 4.7134627538876203763e-899j)  +/-  (1.84e-254, 1.84e-254j)
| (-0.72319334493917039849 + 7.9531917712005234361e-896j)  +/-  (3.29e-253, 3.29e-253j)
| (0.72319334493917039849 - 2.1400720893139022502e-898j)  +/-  (2.89e-253, 2.89e-253j)
-------------------------------------------------
The weights are:
| (4.7855418496526113074e-20 + 5.6104629711324191144e-667j)  +/-  (6.14e-86, 7.39e-208j)
| (1.426197845863304698e-26 - 4.3442948034266141783e-671j)  +/-  (1.16e-88, 1.4e-210j)
| (1.426197845863304698e-26 - 3.27810206660149609e-672j)  +/-  (4.82e-90, 5.79e-212j)
| (6.1824189569054993501e-10 + 8.8138537569866788312e-664j)  +/-  (4.4e-81, 5.29e-203j)
| (0.00024452668908690184706 + 1.5324921552727903952e-660j)  +/-  (3.83e-73, 4.61e-195j)
| (2.9638784179823478569e-15 - 1.7368162192337620119e-666j)  +/-  (1.91e-85, 2.3e-207j)
| (1.6484089759181578688e-11 - 1.3894448314954637233e-664j)  +/-  (9.52e-83, 1.14e-204j)
| (3.4798417587344583167e-31 + 1.3126110640955195236e-673j)  +/-  (5.03e-93, 6.05e-215j)
| (3.4798417587344583167e-31 + 1.5452234326182814204e-674j)  +/-  (9.81e-93, 1.18e-214j)
| (2.8004449261367157805e-07 - 7.1352854073082416479e-662j)  +/-  (1.07e-81, 1.28e-203j)
| (5.1780703294495266983e-23 + 2.0571104700569511504e-670j)  +/-  (1.01e-89, 1.21e-211j)
| (2.9638784179823478569e-15 + 2.3304078738150945206e-665j)  +/-  (4.39e-88, 5.28e-210j)
| (3.4257377729108572627e-05 + 2.399420479191766614e-661j)  +/-  (1.52e-79, 1.83e-201j)
| (1.5704056413807604451e-08 - 4.6026328246709946027e-663j)  +/-  (1.58e-82, 1.91e-204j)
| (1.7128177110279818424e-17 + 1.274226190721044284e-667j)  +/-  (7.55e-88, 9.08e-210j)
| (3.4257377729108572627e-05 - 6.3013801584084388733e-661j)  +/-  (1.37e-81, 1.65e-203j)
| (0.0013298859055721430884 - 3.2828186554803710161e-660j)  +/-  (8.57e-79, 1.03e-200j)
| (4.7855418496526113074e-20 - 6.4948829060804941247e-669j)  +/-  (3.83e-89, 4.6e-211j)
| (3.605310211304379358e-06 - 7.4986033068379744554e-662j)  +/-  (3.5e-82, 4.2e-204j)
| (0.0055739245612184661839 - 3.4441142493529733057e-660j)  +/-  (1.48e-78, 1.78e-200j)
| (0.0055739245612184661839 + 6.2192136551334525704e-660j)  +/-  (7.36e-79, 8.85e-201j)
| (0.093253768604595644978 - 2.0837796077726621956e-659j)  +/-  (2.8e-73, 3.37e-195j)
| (0.018168090115551574465 + 6.4838296672968927086e-660j)  +/-  (7.68e-78, 9.24e-200j)
| (0.018168090115551574465 - 1.0454256078526730208e-659j)  +/-  (1e-77, 1.21e-199j)
| (0.00024452668908690184706 - 6.6604693035889998701e-661j)  +/-  (3.2e-81, 3.84e-203j)
| (2.8394000665308765748e-13 - 1.5586871060808626938e-664j)  +/-  (4.03e-91, 4.85e-213j)
| (3.605310211304379358e-06 + 2.2712152853541655981e-661j)  +/-  (2.03e-85, 2.44e-207j)
| (1.7128177110279818424e-17 - 3.4424256496480763009e-666j)  +/-  (5.37e-93, 6.46e-215j)
| (0.04638274179115775167 - 1.0819441498053497948e-659j)  +/-  (8.18e-80, 9.84e-202j)
| (0.093253768604595644978 + 1.6049663104878268929e-659j)  +/-  (8.99e-79, 1.08e-200j)
| (2.8394000665308765748e-13 + 1.7607605930863002578e-665j)  +/-  (4.89e-89, 5.88e-211j)
| (2.8004449261367157805e-07 + 2.0148067874476276381e-662j)  +/-  (7.65e-86, 9.2e-208j)
| (0.04638274179115775167 + 1.5633225901457621608e-659j)  +/-  (9.09e-82, 1.09e-203j)
| (1.6484089759181578688e-11 + 9.1012743657524177523e-664j)  +/-  (3.2e-91, 3.85e-213j)
| (0.0013298859055721430884 + 1.6155340651534005407e-660j)  +/-  (1.54e-84, 1.86e-206j)
| (5.1780703294495266983e-23 + 5.5403649355508000765e-669j)  +/-  (1.23e-96, 1.47e-218j)
| (6.1824189569054993501e-10 - 4.5447350961010198803e-663j)  +/-  (7.24e-91, 8.7e-213j)
| (0.18677434886201952791 - 2.6345233438279759411e-659j)  +/-  (1.04e-85, 1.29e-207j)
| (1.5704056413807604451e-08 + 1.9414572108182065984e-662j)  +/-  (3.94e-90, 4.74e-212j)
| (0.18677434886201952791 + 2.5013743822334034171e-659j)  +/-  (4.48e-86, 5.72e-208j)
| (0.14823455439929564291 - 2.1211329754007310019e-659j)  +/-  (3.3e-86, 4.24e-208j)
| (0.14823455439929564291 + 2.4790799244990678092e-659j)  +/-  (2.21e-86, 2.42e-208j)
