Starting with polynomial:
P : 3281063172710606398620225/2199023255552*t^44 - 17838423916001342833877775/1099511627776*t^42 + 180692741078554778587867815/2199023255552*t^40 - 141506363495253742267607325/549755813888*t^38 + 1228135475767449145853431475/2199023255552*t^36 - 979399176877839192262863075/1099511627776*t^34 + 2378540858131895181209810325/2199023255552*t^32 - 140447174480169048795245943/137438953472*t^30 + 836911245190048441451123085/1099511627776*t^28 - 247537128859028412260191335/549755813888*t^26 + 233187150374447055027716475/1099511627776*t^24 - 21831632803035070280749575/274877906944*t^22 + 25862088089749237101811035/1099511627776*t^20 - 2999875907846370603995175/549755813888*t^18 + 1074896988057364642649325/1099511627776*t^16 - 18218593017921434621175/137438953472*t^14 + 29085823940892114921525/2199023255552*t^12 - 1026558492031486408995/1099511627776*t^10 + 96845140757687397075/2199023255552*t^8 - 699603700003933725/549755813888*t^6 + 42832879592077575/2199023255552*t^4 - 130191123380175/1099511627776*t^2 + 263012370465/2199023255552
Extension levels are: 44
-------------------------------------------------
Ending with final polynomial:
P : 3281063172710606398620225/2199023255552*t^44 - 17838423916001342833877775/1099511627776*t^42 + 180692741078554778587867815/2199023255552*t^40 - 141506363495253742267607325/549755813888*t^38 + 1228135475767449145853431475/2199023255552*t^36 - 979399176877839192262863075/1099511627776*t^34 + 2378540858131895181209810325/2199023255552*t^32 - 140447174480169048795245943/137438953472*t^30 + 836911245190048441451123085/1099511627776*t^28 - 247537128859028412260191335/549755813888*t^26 + 233187150374447055027716475/1099511627776*t^24 - 21831632803035070280749575/274877906944*t^22 + 25862088089749237101811035/1099511627776*t^20 - 2999875907846370603995175/549755813888*t^18 + 1074896988057364642649325/1099511627776*t^16 - 18218593017921434621175/137438953472*t^14 + 29085823940892114921525/2199023255552*t^12 - 1026558492031486408995/1099511627776*t^10 + 96845140757687397075/2199023255552*t^8 - 699603700003933725/549755813888*t^6 + 42832879592077575/2199023255552*t^4 - 130191123380175/1099511627776*t^2 + 263012370465/2199023255552
-------------------------------------------------
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:
| (-0.98115183307791396666 + 1.1851902262553038121e-937j)  +/-  (1.53e-240, 1.53e-240j)
| (0.98115183307791396666 - 3.7783787117446033901e-950j)  +/-  (1.84e-240, 1.84e-240j)
| (-0.88853423828604320234 - 2.4881055292114464837e-961j)  +/-  (3.36e-241, 3.36e-241j)
| (0.99854020063677422494 - 9.7667116153568037912e-962j)  +/-  (4.46e-241, 4.46e-241j)
| (0.91867525998417577432 + 1.9784836706096434712e-969j)  +/-  (8.28e-241, 8.28e-241j)
| (0.81514453964513501049 + 9.4631429067944585558e-973j)  +/-  (3.73e-242, 3.73e-242j)
| (-0.96509965042249313939 - 4.100975198586285517e-969j)  +/-  (1.64e-240, 1.64e-240j)
| (-0.91867525998417577432 - 1.9556571063552827667e-983j)  +/-  (7.61e-241, 7.61e-241j)
| (0.96509965042249313939 + 3.1862106560328651355e-990j)  +/-  (1.82e-240, 1.82e-240j)
| (-0.99231639213851580848 - 9.626648671295951439e-1006j)  +/-  (1.15e-240, 1.15e-240j)
| (0.88853423828604320234 + 2.4307801743335110952e-1015j)  +/-  (2.95e-241, 2.95e-241j)
| (0.50505439138820231798 + 1.6792036325818825925e-1024j)  +/-  (7.92e-247, 7.92e-247j)
| (-0.85396659500471037873 - 3.0292408760269829737e-1017j)  +/-  (1.19e-241, 1.19e-241j)
| (-0.81514453964513501049 - 1.1834489199805449627e-1020j)  +/-  (4.21e-242, 4.21e-242j)
| (0.99231639213851580848 - 1.0427043243516456219e-1018j)  +/-  (1.4e-240, 1.4e-240j)
| (0.85396659500471037873 + 5.3626850861264124235e-1030j)  +/-  (1.27e-241, 1.27e-241j)
| (0.24456945692820125151 + 1.9329978977927479895e-1038j)  +/-  (1.87e-251, 1.87e-251j)
| (-0.31235246650278581224 - 1.242623557037915159e-1036j)  +/-  (3.36e-250, 3.36e-250j)
| (-0.77226147924875589902 - 8.6681542590340419702e-1028j)  +/-  (1.11e-242, 1.11e-242j)
| (-0.9442395091181940992 + 4.8316385931615816312e-1034j)  +/-  (1.19e-240, 1.19e-240j)
| (0.67518607066612236533 - 6.1575885031174747267e-1046j)  +/-  (4.91e-244, 4.91e-244j)
| (0.72553105366071700261 - 1.925723153498957147e-1043j)  +/-  (2.84e-243, 2.84e-243j)
| (-0.37857935201470713251 + 1.1678814659403584739e-1051j)  +/-  (5.51e-249, 5.51e-249j)
| (-0.67518607066612236533 + 5.7336418747029177912e-1047j)  +/-  (3.89e-244, 3.89e-244j)
| (-0.72553105366071700261 + 4.3686384160509555616e-1047j)  +/-  (2.45e-243, 2.45e-243j)
| (0.17556801477551678575 - 5.115125299470536634e-1055j)  +/-  (1.22e-252, 1.22e-252j)
| (0.77226147924875589902 + 2.222465080630066207e-1043j)  +/-  (1.18e-242, 1.18e-242j)
| (0.9442395091181940992 - 7.3319077571716115332e-1048j)  +/-  (1.35e-240, 1.35e-240j)
| (-0.99854020063677422494 + 1.4876440860156135279e-1054j)  +/-  (5.08e-241, 5.08e-241j)
| (-0.6214773459035758478 - 1.5047014082459814126e-1069j)  +/-  (6.58e-245, 6.58e-245j)
| (-0.24456945692820125151 + 4.021343286919915397e-1078j)  +/-  (1.79e-251, 1.79e-251j)
| (0.31235246650278581224 + 4.3968583573647181814e-1077j)  +/-  (4.1e-250, 4.1e-250j)
| (0.6214773459035758478 + 6.2557737674120680727e-1072j)  +/-  (6.26e-245, 6.26e-245j)
| (-0.035289236964135359058 + 4.4518406221310738434e-1082j)  +/-  (2.37e-255, 2.37e-255j)
| (-0.50505439138820231798 + 4.0906395035725754647e-1071j)  +/-  (8.75e-247, 8.75e-247j)
| (-0.44292017452541148383 + 2.432982205512877092e-1073j)  +/-  (6.68e-248, 6.68e-248j)
| (0.035289236964135359058 - 2.1489287178221657489e-1082j)  +/-  (2.37e-255, 2.37e-255j)
| (0.56467245318547076842 + 6.2201393713400437738e-1073j)  +/-  (8.16e-246, 8.16e-246j)
| (0.10569190170865324712 + 1.5424171546682947667e-1080j)  +/-  (4.69e-254, 4.69e-254j)
| (-0.17556801477551678575 - 8.2527489609532786996e-1079j)  +/-  (1.12e-252, 1.12e-252j)
| (-0.56467245318547076842 + 7.8373563355049105903e-1076j)  +/-  (8.24e-246, 8.24e-246j)
| (-0.10569190170865324712 - 1.1166021132119808185e-1083j)  +/-  (4.69e-254, 4.69e-254j)
| (0.44292017452541148383 + 1.0356329397724009701e-1076j)  +/-  (7.15e-248, 7.15e-248j)
| (0.37857935201470713251 + 1.0694142780037229617e-1077j)  +/-  (5.62e-249, 5.62e-249j)
-------------------------------------------------
The weights are:
| (0.01361958675557998552 + 4.2413228424804192135e-938j)  +/-  (2.88e-75, 2.25e-191j)
| (0.01361958675557998552 - 8.225944529628382771e-940j)  +/-  (1.07e-75, 8.37e-192j)
| (0.032381222812069820881 + 6.3806200776916597624e-938j)  +/-  (6.69e-76, 5.22e-192j)
| (0.0037454048031127775152 - 1.1951746193662634556e-940j)  +/-  (5.12e-76, 4e-192j)
| (0.027875782821281010081 + 2.4847810463368781852e-939j)  +/-  (2.4e-76, 1.87e-192j)
| (0.040886512310346218908 - 4.6672425945936042889e-939j)  +/-  (6.1e-77, 4.77e-193j)
| (0.018471481736814749172 - 1.5870862861105953887e-937j)  +/-  (4.33e-77, 3.38e-193j)
| (0.027875782821281010081 - 7.5558791374823619022e-938j)  +/-  (3.48e-77, 2.72e-193j)
| (0.018471481736814749172 + 1.3089880300441021849e-939j)  +/-  (1.41e-76, 1.1e-192j)
| (0.0087004813675248441226 + 7.3989212002822188342e-938j)  +/-  (1.08e-77, 8.45e-194j)
| (0.032381222812069820881 - 3.1607321353237493353e-939j)  +/-  (6e-77, 4.69e-193j)
| (0.060926736701561968039 - 1.0260211301067039698e-938j)  +/-  (2.12e-79, 1.65e-195j)
| (0.036725347813808873643 - 5.6117704298834327027e-938j)  +/-  (4.2e-78, 3.28e-194j)
| (0.040886512310346218908 + 5.0502304868373113869e-938j)  +/-  (9.17e-79, 7.17e-195j)
| (0.0087004813675248441226 + 4.1858131625547386843e-940j)  +/-  (3.04e-77, 2.37e-193j)
| (0.036725347813808873643 + 3.8893095247228695777e-939j)  +/-  (5.43e-78, 4.24e-194j)
| (0.068449070269366660985 - 1.4814106864424760392e-938j)  +/-  (1.71e-81, 1.34e-197j)
| (0.067060638906293652396 - 2.6328296950903052904e-938j)  +/-  (2.5e-82, 1.95e-198j)
| (0.044843984081970031446 - 4.6099099580424156764e-938j)  +/-  (1.63e-80, 1.27e-196j)
| (0.023231481902019210629 + 9.7315458024983532614e-938j)  +/-  (1.91e-79, 1.49e-195j)
| (0.052070096091704461881 + 7.2739562570026610081e-939j)  +/-  (3.27e-81, 2.55e-197j)
| (0.048578046448352037528 - 6.3613863566923537961e-939j)  +/-  (7.81e-81, 6.1e-197j)
| (0.065338114879181434984 + 2.8103429277317896764e-938j)  +/-  (2.38e-83, 1.86e-199j)
| (0.052070096091704461881 - 3.937737792522816365e-938j)  +/-  (1.7e-82, 1.33e-198j)
| (0.048578046448352037528 + 4.2472561329619512617e-938j)  +/-  (7.66e-82, 5.98e-198j)
| (0.069496491861572578037 + 1.6059467360147771006e-938j)  +/-  (1.12e-84, 8.73e-201j)
| (0.044843984081970031446 + 5.4919494193625335488e-939j)  +/-  (7.05e-82, 5.51e-198j)
| (0.023231481902019210629 - 1.8656673238957198472e-939j)  +/-  (3.69e-81, 2.88e-197j)
| (0.0037454048031127775152 - 1.3607244410737495763e-938j)  +/-  (1.17e-82, 9.16e-199j)
| (0.055302735563728052549 + 3.6664151749934982346e-938j)  +/-  (6.7e-84, 5.24e-200j)
| (0.068449070269366660985 + 2.4651643541993534746e-938j)  +/-  (8.34e-86, 6.51e-202j)
| (0.067060638906293652396 + 1.3612902817150107962e-938j)  +/-  (1.01e-85, 7.91e-202j)
| (0.055302735563728052549 - 8.2284536880221732644e-939j)  +/-  (1.23e-84, 9.61e-201j)
| (0.070549157789354068811 - 2.0087406261639087693e-938j)  +/-  (7.39e-87, 5.77e-203j)
| (0.060926736701561968039 + 3.2028716318822774433e-938j)  +/-  (6.54e-86, 5.11e-202j)
| (0.06329007973320385495 - 2.9995426198648900683e-938j)  +/-  (6.54e-86, 5.11e-202j)
| (0.070549157789354068811 + 1.8692599891737192427e-938j)  +/-  (1.51e-87, 1.18e-203j)
| (0.058259859877595495334 + 9.2240356211053586177e-939j)  +/-  (3.88e-87, 3.03e-203j)
| (0.070197685473558212587 - 1.7351280198332292241e-938j)  +/-  (1.45e-87, 1.13e-203j)
| (0.069496491861572578037 - 2.3059431209265599898e-938j)  +/-  (4.72e-88, 3.69e-204j)
| (0.058259859877595495334 - 3.4236360715292143384e-938j)  +/-  (1.09e-87, 8.49e-204j)
| (0.070197685473558212587 + 2.154082613991401182e-938j)  +/-  (3.22e-88, 2.52e-204j)
| (0.06329007973320385495 + 1.1336848070658340803e-938j)  +/-  (1.55e-89, 1.22e-205j)
| (0.065338114879181434984 - 1.2454191895918383354e-938j)  +/-  (1.67e-89, 1.29e-205j)
