Starting with polynomial:
P : 4398046511104*t^42 - 1893359023030272*t^40 + 369205009490903040*t^38 - 43258520278684139520*t^36 + 3406608471946375987200*t^34 - 191110735276191692881920*t^32 + 7899243724749256639119360*t^30 - 245440787161851902715494400*t^28 + 5798538596698751201653555200*t^26 - 104695835773727452252078080000*t^24 + 1444802533677438841078677504000*t^22 - 15170426603613107831326113792000*t^20 + 120099210611937103664665067520000*t^18 - 706737662447168340795913666560000*t^16 + 3028875696202150031982487142400000*t^14 - 9187589611813188430346877665280000*t^12 + 18949403574364701137590435184640000*t^10 - 25080092966070927976222634803200000*t^8 + 19506738973610721759284271513600000*t^6 - 7700028542214758589191159808000000*t^4 + 1155004281332213788378673971200000*t^2 - 27500101936481280675682713600000
Extension levels are: 42
-------------------------------------------------
Ending with final polynomial:
P : 4398046511104*t^42 - 1893359023030272*t^40 + 369205009490903040*t^38 - 43258520278684139520*t^36 + 3406608471946375987200*t^34 - 191110735276191692881920*t^32 + 7899243724749256639119360*t^30 - 245440787161851902715494400*t^28 + 5798538596698751201653555200*t^26 - 104695835773727452252078080000*t^24 + 1444802533677438841078677504000*t^22 - 15170426603613107831326113792000*t^20 + 120099210611937103664665067520000*t^18 - 706737662447168340795913666560000*t^16 + 3028875696202150031982487142400000*t^14 - 9187589611813188430346877665280000*t^12 + 18949403574364701137590435184640000*t^10 - 25080092966070927976222634803200000*t^8 + 19506738973610721759284271513600000*t^6 - 7700028542214758589191159808000000*t^4 + 1155004281332213788378673971200000*t^2 - 27500101936481280675682713600000
-------------------------------------------------
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:
| (6.5720171713874751026 - 1.4535029586148368231e-818j)  +/-  (9.42e-246, 9.42e-246j)
| (-6.5720171713874751026 - 6.2513004929055566156e-826j)  +/-  (8.84e-246, 8.84e-246j)
| (0.51137491831546934945 + 4.0166347430631254779e-848j)  +/-  (1.85e-253, 1.85e-253j)
| (-4.4369817058810309607 + 1.1688833250290527546e-839j)  +/-  (1.69e-245, 1.69e-245j)
| (-5.6603575812830576987 - 1.2586145834907509682e-852j)  +/-  (2.62e-245, 2.62e-245j)
| (8.3258093895669312163 + 4.5550048681061529726e-864j)  +/-  (5.94e-248, 5.94e-248j)
| (-8.3258093895669312163 + 8.2086349433889505791e-862j)  +/-  (5.67e-248, 5.67e-248j)
| (-7.6447832957047418593 + 3.4119839747663249748e-860j)  +/-  (7.52e-247, 7.52e-247j)
| (-3.6777633163885568764 - 8.8748423708192327645e-865j)  +/-  (4.44e-246, 4.44e-246j)
| (7.0788678730491087219 - 1.8894953829032321422e-870j)  +/-  (3.51e-246, 3.51e-246j)
| (2.5900348706171264606 - 2.6029731947955650996e-872j)  +/-  (7.81e-248, 7.81e-248j)
| (4.0531077444247670006 + 8.8006727321631602441e-870j)  +/-  (1.01e-245, 1.01e-245j)
| (7.6447832957047418593 + 6.1359335382740426631e-871j)  +/-  (7.17e-247, 7.17e-247j)
| (4.4369817058810309607 - 1.6687979328496725498e-869j)  +/-  (1.59e-245, 1.59e-245j)
| (-2.2369607870543180517 + 1.3163925911147084122e-873j)  +/-  (1.5e-248, 1.5e-248j)
| (5.2379158850176499306 + 1.1302801153487669939e-869j)  +/-  (3.5e-245, 3.5e-245j)
| (6.1028523343815266214 - 3.6722437731724138867e-875j)  +/-  (2.09e-245, 2.09e-245j)
| (-4.8311536291282759663 - 8.428805870398095875e-876j)  +/-  (2.44e-245, 2.44e-245j)
| (-1.195957794377809836 - 7.9116165834016642198e-893j)  +/-  (3.24e-251, 3.24e-251j)
| (2.2369607870543180517 + 2.5815802424144730324e-889j)  +/-  (1.64e-248, 1.64e-248j)
| (5.6603575812830576987 + 2.1227250815182235464e-885j)  +/-  (2.49e-245, 2.49e-245j)
| (-6.1028523343815266214 + 2.8005499872064734898e-888j)  +/-  (2.03e-245, 2.03e-245j)
| (-4.0531077444247670006 + 1.2561440513001101565e-900j)  +/-  (9.43e-246, 9.43e-246j)
| (-5.2379158850176499306 - 1.38857463766547315e-916j)  +/-  (2.98e-245, 2.98e-245j)
| (-1.540534800915545896 + 1.5377227603013645309e-929j)  +/-  (3.19e-250, 3.19e-250j)
| (-7.0788678730491087219 - 2.6131871076211276009e-925j)  +/-  (3.81e-246, 3.81e-246j)
| (0.85307290916055371805 + 4.9431095614855206742e-930j)  +/-  (3.79e-252, 3.79e-252j)
| (3.309540096510921988 - 1.4005648264455015012e-923j)  +/-  (1.34e-246, 1.34e-246j)
| (-3.309540096510921988 + 7.6171923659104515787e-929j)  +/-  (1.11e-246, 1.11e-246j)
| (1.8873416205434848204 - 1.3172667224002812118e-937j)  +/-  (2.25e-249, 2.25e-249j)
| (-2.9472857823054792337 + 2.5400940575316544016e-938j)  +/-  (3.4e-247, 3.4e-247j)
| (1.195957794377809836 + 1.485143051575320575e-942j)  +/-  (3.03e-251, 3.03e-251j)
| (0.17038058556181697307 + 6.0868773124608733459e-946j)  +/-  (1.18e-254, 1.18e-254j)
| (4.8311536291282759663 - 2.0329580104415625749e-937j)  +/-  (2.83e-245, 2.83e-245j)
| (-0.51137491831546934945 + 8.8110394193158741422e-949j)  +/-  (1.74e-253, 1.74e-253j)
| (-1.8873416205434848204 - 5.7476160442002849432e-945j)  +/-  (2.7e-249, 2.7e-249j)
| (1.540534800915545896 + 2.712717855063988017e-943j)  +/-  (2.99e-250, 2.99e-250j)
| (3.6777633163885568764 + 1.7652473242523159749e-941j)  +/-  (3.4e-246, 3.4e-246j)
| (2.9472857823054792337 - 2.5907017583407876991e-947j)  +/-  (3.26e-247, 3.26e-247j)
| (-2.5900348706171264606 - 1.3554198285069372312e-950j)  +/-  (7.97e-248, 7.97e-248j)
| (-0.85307290916055371805 - 3.154864140669857267e-955j)  +/-  (2.89e-252, 2.89e-252j)
| (-0.17038058556181697307 - 2.5362329747537955103e-956j)  +/-  (1.18e-254, 1.18e-254j)
-------------------------------------------------
The weights are:
| (4.7855418496526113074e-20 + 4.5713632049344910392e-837j)  +/-  (1.25e-86, 3.12e-208j)
| (4.7855418496526113074e-20 - 5.2920016014961995598e-839j)  +/-  (6.43e-87, 1.61e-208j)
| (0.14823455439929564291 + 2.0199358268017868906e-829j)  +/-  (2.19e-76, 5.48e-198j)
| (6.1824189569054993501e-10 + 7.181463611988172447e-834j)  +/-  (1.31e-80, 3.28e-202j)
| (2.9638784179823478569e-15 - 1.4151456621307767809e-836j)  +/-  (1.44e-84, 3.61e-206j)
| (3.4798417587344583167e-31 + 1.0695056572518956821e-843j)  +/-  (3.93e-93, 9.82e-215j)
| (3.4798417587344583167e-31 + 1.2590360181342901391e-844j)  +/-  (3.25e-92, 8.14e-214j)
| (1.426197845863304698e-26 - 2.6709714862594906115e-842j)  +/-  (1.93e-90, 4.82e-212j)
| (2.8004449261367157805e-07 + 1.6416497281679019274e-832j)  +/-  (7.31e-80, 1.83e-201j)
| (5.1780703294495266983e-23 + 4.5142478411402702536e-839j)  +/-  (2.9e-91, 7.25e-213j)
| (0.00024452668908690184706 + 1.2486631520379993397e-830j)  +/-  (4.89e-78, 1.22e-199j)
| (1.5704056413807604451e-08 + 1.5818848086560333964e-832j)  +/-  (2.01e-84, 5.03e-206j)
| (1.426197845863304698e-26 - 3.5396988525933593255e-841j)  +/-  (4.97e-93, 1.24e-214j)
| (6.1824189569054993501e-10 - 3.7030161440028968785e-833j)  +/-  (5.39e-86, 1.35e-207j)
| (0.0013298859055721430884 + 1.3163251698673679851e-830j)  +/-  (2.08e-79, 5.21e-201j)
| (2.8394000665308765748e-13 - 1.2700065845681903681e-834j)  +/-  (1.38e-88, 3.46e-210j)
| (1.7128177110279818424e-17 - 2.8048626376665890781e-836j)  +/-  (1.44e-90, 3.59e-212j)
| (1.6484089759181578688e-11 - 1.132109559742726467e-834j)  +/-  (2.36e-89, 5.9e-211j)
| (0.04638274179115775167 - 8.8156004354031469104e-830j)  +/-  (2.14e-76, 5.35e-198j)
| (0.0013298859055721430884 - 2.6748161065326410294e-830j)  +/-  (3.8e-82, 9.5e-204j)
| (2.9638784179823478569e-15 + 1.8987988853156640448e-835j)  +/-  (7.48e-90, 1.87e-211j)
| (1.7128177110279818424e-17 + 1.0382311617001491543e-837j)  +/-  (1.09e-92, 2.74e-214j)
| (1.5704056413807604451e-08 - 3.7501914290067462233e-833j)  +/-  (2.56e-88, 6.42e-210j)
| (2.8394000665308765748e-13 + 1.4346550881517862797e-835j)  +/-  (8.86e-91, 2.22e-212j)
| (0.018168090115551574465 + 5.2829762109256992019e-830j)  +/-  (3.58e-83, 8.96e-205j)
| (5.1780703294495266983e-23 + 1.676116260321422043e-840j)  +/-  (1.11e-95, 2.77e-217j)
| (0.093253768604595644978 - 1.6978480717158889029e-829j)  +/-  (5.98e-82, 1.5e-203j)
| (3.605310211304379358e-06 + 1.85056922782187273e-831j)  +/-  (2.53e-89, 6.34e-211j)
| (3.605310211304379358e-06 - 6.1098066006260772308e-832j)  +/-  (3e-88, 7.51e-210j)
| (0.0055739245612184661839 + 5.0673688207140471947e-830j)  +/-  (1.74e-86, 4.35e-208j)
| (3.4257377729108572627e-05 + 1.9550300539578151081e-831j)  +/-  (4.4e-88, 1.1e-209j)
| (0.04638274179115775167 + 1.2737835740056622768e-829j)  +/-  (4.06e-85, 1.02e-206j)
| (0.18677434886201952791 - 2.1465899738178376085e-829j)  +/-  (5.84e-85, 1.46e-206j)
| (1.6484089759181578688e-11 + 7.4156502271108098418e-834j)  +/-  (3.32e-92, 8.3e-214j)
| (0.14823455439929564291 - 1.7282833464884441941e-829j)  +/-  (5.58e-86, 1.39e-207j)
| (0.0055739245612184661839 - 2.8062387095321024383e-830j)  +/-  (3.91e-87, 9.78e-209j)
| (0.018168090115551574465 - 8.5180497704398473545e-830j)  +/-  (1.22e-86, 3.06e-208j)
| (2.8004449261367157805e-07 - 5.8137771722923547379e-832j)  +/-  (1.53e-90, 3.83e-212j)
| (3.4257377729108572627e-05 - 5.1343174354897538591e-831j)  +/-  (1.82e-89, 4.56e-211j)
| (0.00024452668908690184706 - 5.4269010341071502797e-831j)  +/-  (4.48e-89, 1.12e-210j)
| (0.093253768604595644978 + 1.3077146005076522551e-829j)  +/-  (1e-87, 2.52e-209j)
| (0.18677434886201952791 + 2.0381012019536733288e-829j)  +/-  (1.59e-87, 3.78e-209j)
