Starting with polynomial:
P : 4398046511104*t^42 - 45079976738816*t^40 + 214404767416320*t^38 - 628027297890304*t^36 + 1268132043816960*t^34 - 1872163359424512*t^32 + 2091425734852608*t^30 - 1805099592581120*t^28 + 1218442224992256*t^26 - 647048567193600*t^24 + 270583946280960*t^22 - 88785357373440*t^20 + 22673679974400*t^18 - 4447529533440*t^16 + 657270374400*t^14 - 71204290560*t^12 + 5439216640*t^10 - 276883200*t^8 + 8614144*t^6 - 141680*t^4 + 924*t^2 - 1
Extension levels are: 42
-------------------------------------------------
Ending with final polynomial:
P : 4398046511104*t^42 - 45079976738816*t^40 + 214404767416320*t^38 - 628027297890304*t^36 + 1268132043816960*t^34 - 1872163359424512*t^32 + 2091425734852608*t^30 - 1805099592581120*t^28 + 1218442224992256*t^26 - 647048567193600*t^24 + 270583946280960*t^22 - 88785357373440*t^20 + 22673679974400*t^18 - 4447529533440*t^16 + 657270374400*t^14 - 71204290560*t^12 + 5439216640*t^10 - 276883200*t^8 + 8614144*t^6 - 141680*t^4 + 924*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:
| (0.95760059990840595223 + 2.6235060891693749723e-873j)  +/-  (1.68e-241, 1.68e-241j)
| (-0.99733228366355167281 + 4.444942205768469611e-879j)  +/-  (4.16e-242, 4.16e-242j)
| (-0.93401610873254799935 - 5.3936040650913788815e-878j)  +/-  (1.37e-241, 1.37e-241j)
| (0.98934336807511019779 - 2.1797760716744014593e-879j)  +/-  (1.1e-241, 1.1e-241j)
| (0.90544823749314661572 + 1.3124073695918674996e-885j)  +/-  (8.88e-242, 8.88e-242j)
| (0.93401610873254799935 + 3.3592767189027195005e-899j)  +/-  (1.37e-241, 1.37e-241j)
| (-0.32288040477144621663 + 1.0293644038357636996e-918j)  +/-  (3.33e-250, 3.33e-250j)
| (-0.90544823749314661572 - 3.1358374610474064769e-910j)  +/-  (9.1e-242, 9.1e-242j)
| (-0.97607587755592715901 + 7.0950768755856571825e-909j)  +/-  (1.7e-241, 1.7e-241j)
| (0.99733228366355167281 - 2.3439989336117416333e-916j)  +/-  (3.77e-242, 3.77e-242j)
| (0.87204940814380760813 - 3.1712959011051392411e-932j)  +/-  (4.2e-242, 4.2e-242j)
| (-0.98934336807511019779 + 9.3963871123104738419e-942j)  +/-  (1.17e-241, 1.17e-241j)
| (-0.95760059990840595223 - 3.490516572170470798e-945j)  +/-  (1.67e-241, 1.67e-241j)
| (-0.79149648842925410245 + 6.6618816506635550415e-949j)  +/-  (4.83e-243, 4.83e-243j)
| (0.97607587755592715901 - 3.6599867025567220137e-954j)  +/-  (1.86e-241, 1.86e-241j)
| (0.83399781788987793962 - 9.421253324818225624e-976j)  +/-  (1.4e-242, 1.4e-242j)
| (0.79149648842925410245 + 2.339166484334981021e-987j)  +/-  (4.37e-243, 4.37e-243j)
| (-0.45724232330463852282 - 1.4379756563566904449e-998j)  +/-  (5.84e-248, 5.84e-248j)
| (-0.74477218274378185418 - 1.0023825442250209433e-993j)  +/-  (1.04e-243, 1.04e-243j)
| (-0.87204940814380760813 - 2.1473944781572863773e-991j)  +/-  (4.39e-242, 4.39e-242j)
| (0.63967302155889127364 - 5.5377287754834131191e-996j)  +/-  (4.23e-245, 4.23e-245j)
| (0.74477218274378185418 - 3.0563457259562697834e-997j)  +/-  (1.04e-243, 1.04e-243j)
| (0.1816368509794364397 + 1.1458230953139799553e-1005j)  +/-  (1.08e-252, 1.08e-252j)
| (-0.83399781788987793962 + 2.3413358420680938474e-998j)  +/-  (1.32e-242, 1.32e-242j)
| (-0.69407419522063387436 + 4.7389724487394446781e-1001j)  +/-  (2.64e-244, 2.64e-244j)
| (0.25293338239168074656 + 7.4577604667978886266e-1009j)  +/-  (2.12e-251, 2.12e-251j)
| (0.69407419522063387436 - 2.0519246551638049274e-1002j)  +/-  (2.17e-244, 2.17e-244j)
| (0.45724232330463852282 - 3.5442556342151447966e-1005j)  +/-  (6.76e-248, 6.76e-248j)
| (-0.10937120837787438699 - 8.7503609692935799351e-1012j)  +/-  (4.46e-254, 4.46e-254j)
| (-0.63967302155889127364 - 5.1763228702722119619e-1004j)  +/-  (3.9e-245, 3.9e-245j)
| (-0.25293338239168074656 - 1.6526737856566951998e-1010j)  +/-  (2.13e-251, 2.13e-251j)
| (0.39110472049015601574 - 5.413499435236135946e-1007j)  +/-  (4.64e-249, 4.64e-249j)
| (0.58185891555795283842 + 6.2930863567084598653e-1005j)  +/-  (6.5e-246, 6.5e-246j)
| (0.036522023057658834968 - 1.6676503439465418438e-1014j)  +/-  (2.9e-255, 2.9e-255j)
| (-0.58185891555795283842 + 5.0198734877180828334e-1005j)  +/-  (5.15e-246, 5.15e-246j)
| (-0.39110472049015601574 + 5.5937974634079953562e-1009j)  +/-  (4.25e-249, 4.25e-249j)
| (0.10937120837787438699 - 6.8011202363449924252e-1015j)  +/-  (4.46e-254, 4.46e-254j)
| (0.52094034048793028618 - 9.4395098114407345653e-1009j)  +/-  (6.46e-247, 6.46e-247j)
| (0.32288040477144621663 + 2.188180090247898653e-1011j)  +/-  (3.18e-250, 3.18e-250j)
| (-0.1816368509794364397 - 4.2733395678739473553e-1013j)  +/-  (9.94e-253, 9.94e-253j)
| (-0.52094034048793028618 + 1.4413244765791180508e-1009j)  +/-  (7.05e-247, 7.05e-247j)
| (-0.036522023057658834968 - 1.6091331542416447296e-1017j)  +/-  (2.9e-255, 2.9e-255j)
-------------------------------------------------
The weights are:
| (0.0019302579315130472137 - 8.763727873248539289e-875j)  +/-  (7.13e-77, 1.61e-193j)
| (0.0001239143247080209559 - 1.6603181130536531804e-877j)  +/-  (1.38e-77, 3.12e-194j)
| (0.0029677653169327691374 - 4.117575242588243531e-876j)  +/-  (1.25e-77, 2.81e-194j)
| (0.00049301628013481450894 + 4.0747334646858477324e-875j)  +/-  (9.16e-78, 2.07e-194j)
| (0.004189848586524520074 - 2.1076885091382804547e-874j)  +/-  (1.14e-77, 2.57e-194j)
| (0.0029677653169327691374 + 3.3013005980903294508e-874j)  +/-  (2.32e-77, 5.23e-194j)
| (0.020831354516619233749 - 4.2681866622813203155e-875j)  +/-  (2.71e-79, 6.11e-196j)
| (0.004189848586524520074 + 5.9077593468595749913e-876j)  +/-  (4.15e-79, 9.37e-196j)
| (0.0010994390989168998172 - 1.4900176043636797764e-876j)  +/-  (1.84e-79, 4.17e-196j)
| (0.0001239143247080209559 - 8.1820976317095005563e-876j)  +/-  (1.08e-79, 2.44e-196j)
| (0.0055704611571170896956 + 1.7082337143634251409e-874j)  +/-  (2.45e-80, 5.54e-197j)
| (0.00049301628013481450894 + 6.6358373657954303798e-877j)  +/-  (1.52e-79, 3.43e-196j)
| (0.0019302579315130472137 + 2.6394988310740523773e-876j)  +/-  (1.12e-79, 2.53e-196j)
| (0.0086868211349804564354 - 1.3032627941180336897e-875j)  +/-  (4.67e-82, 1.05e-198j)
| (0.0010994390989168998172 - 1.5612149571518647333e-874j)  +/-  (6.15e-80, 1.39e-196j)
| (0.0070801776687191160961 - 1.5027899223984556564e-874j)  +/-  (6.71e-82, 1.52e-198j)
| (0.0086868211349804564354 + 1.3720282755287522843e-874j)  +/-  (7.3e-83, 1.65e-199j)
| (0.018393708320441312075 - 3.4108872185812190197e-875j)  +/-  (5.96e-85, 1.35e-201j)
| (0.010356148739792158291 + 1.5962491772639891729e-875j)  +/-  (5.97e-84, 1.35e-200j)
| (0.0055704611571170896956 - 7.9920401770858126428e-876j)  +/-  (6.93e-83, 1.56e-199j)
| (0.013739963383481819066 - 1.1338113042663754119e-874j)  +/-  (1.18e-85, 2.67e-202j)
| (0.010356148739792158291 - 1.2765900900815130772e-874j)  +/-  (2.65e-84, 5.98e-201j)
| (0.022488559403866837202 + 7.6033968547507753126e-875j)  +/-  (4.78e-88, 1.08e-204j)
| (0.0070801776687191160961 + 1.0371391893394933013e-875j)  +/-  (3.78e-84, 8.54e-201j)
| (0.012052581663461149244 - 1.9146734429638971723e-875j)  +/-  (9.13e-86, 2.06e-202j)
| (0.021768016373765204746 - 8.1044100215421188268e-875j)  +/-  (4.02e-88, 9.07e-205j)
| (0.012052581663461149244 + 1.1998833607939699835e-874j)  +/-  (6.57e-86, 1.48e-202j)
| (0.018393708320441312075 + 9.6443486614172483211e-875j)  +/-  (3.03e-88, 6.84e-205j)
| (0.022977626483208455337 + 5.6499501361220262573e-875j)  +/-  (1.4e-89, 3.17e-206j)
| (0.013739963383481819066 + 2.2570082246106830482e-875j)  +/-  (4.76e-88, 1.08e-204j)
| (0.021768016373765204746 + 4.7177863265138537798e-875j)  +/-  (2.28e-89, 5.15e-206j)
| (0.019698537153728300865 - 9.122680653247509129e-875j)  +/-  (2.62e-89, 5.92e-206j)
| (0.015382330288040072286 + 1.074030306457745774e-874j)  +/-  (1.19e-88, 2.7e-205j)
| (0.023224793996087810149 + 6.6152267468395676248e-875j)  +/-  (1.29e-90, 2.91e-207j)
| (0.015382330288040072286 - 2.6216329465152154543e-875j)  +/-  (4.5e-90, 1.02e-206j)
| (0.019698537153728300865 + 3.8319441627874782835e-875j)  +/-  (2.43e-90, 5.49e-207j)
| (0.022977626483208455337 - 7.1069010991124288895e-875j)  +/-  (7.14e-91, 1.61e-207j)
| (0.016944678177960913056 - 1.0180611496718091209e-874j)  +/-  (1.67e-90, 3.78e-207j)
| (0.020831354516619233749 + 8.6103554706702943049e-875j)  +/-  (5.35e-91, 1.21e-207j)
| (0.022488559403866837202 - 5.1789485854253746116e-875j)  +/-  (1.29e-91, 2.95e-208j)
| (0.016944678177960913056 + 3.0068472582099308858e-875j)  +/-  (9.91e-92, 2.38e-208j)
| (0.023224793996087810149 - 6.1291855461808302769e-875j)  +/-  (1.21e-91, 2.69e-208j)
