Starting with polynomial:
P : t^46 - 1035*t^44 + 489555*t^42 - 140502285*t^40 + 27397945575*t^38 - 3852151147845*t^36 + 404475870523725*t^34 - 32415851909115675*t^32 + 2009782818365171850*t^30 - 97139502887649972750*t^28 + 3671873209153168969950*t^26 - 108487162997707265021250*t^24 + 2495204748947267095488750*t^22 - 44337869000524515312146250*t^20 + 601728222149975564950556250*t^18 - 6137627865929750762495673750*t^16 + 46032208994473130718717553125*t^14 - 246407706970414993847252784375*t^12 + 903494925558188310773260209375*t^10 - 2139856402637814420252458390625*t^8 + 2995798963692940188353441746875*t^6 - 2139856402637814420252458390625*t^4 + 583597200719403932796125015625*t^2 - 25373791335626257947657609375
Extension levels are: 46
-------------------------------------------------
Ending with final polynomial:
P : t^46 - 1035*t^44 + 489555*t^42 - 140502285*t^40 + 27397945575*t^38 - 3852151147845*t^36 + 404475870523725*t^34 - 32415851909115675*t^32 + 2009782818365171850*t^30 - 97139502887649972750*t^28 + 3671873209153168969950*t^26 - 108487162997707265021250*t^24 + 2495204748947267095488750*t^22 - 44337869000524515312146250*t^20 + 601728222149975564950556250*t^18 - 6137627865929750762495673750*t^16 + 46032208994473130718717553125*t^14 - 246407706970414993847252784375*t^12 + 903494925558188310773260209375*t^10 - 2139856402637814420252458390625*t^8 + 2995798963692940188353441746875*t^6 - 2139856402637814420252458390625*t^4 + 583597200719403932796125015625*t^2 - 25373791335626257947657609375
-------------------------------------------------
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
Positive weights:   46 out of 46
Indefinite weights: 0 out of 46
Negative weights:   0 out of 46
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-6.4710030455262787704 - 1.6904079181880666841e-737j)  +/-  (1.72e-244, 1.72e-244j)
| (12.39378079201925372 - 1.1146242732226158103e-746j)  +/-  (3.38e-247, 3.38e-247j)
| (11.446608852605221896 - 2.626283450943100976e-743j)  +/-  (4.8e-246, 4.8e-246j)
| (-10.660301934280521689 - 3.6530949877800038407e-748j)  +/-  (2.37e-245, 2.37e-245j)
| (-11.446608852605221896 + 7.0839453755455916192e-761j)  +/-  (4.3e-246, 4.3e-246j)
| (-12.39378079201925372 - 1.819038740892600746e-769j)  +/-  (3.22e-247, 3.22e-247j)
| (8.1080518450542283235 - 8.0325379727081954127e-770j)  +/-  (3.59e-244, 3.59e-244j)
| (-4.457221460031490733 - 2.2732820006119567454e-775j)  +/-  (3.89e-246, 3.89e-246j)
| (10.660301934280521689 + 2.8927633919606464131e-782j)  +/-  (2.41e-245, 2.41e-245j)
| (4.457221460031490733 + 8.1660591323812699206e-792j)  +/-  (4.32e-246, 4.32e-246j)
| (-9.3060151731190866603 + 3.275873584544682607e-800j)  +/-  (2.01e-244, 2.01e-244j)
| (-1.6162126195547403189 - 5.3113856713051824912e-821j)  +/-  (6.05e-251, 6.05e-251j)
| (5.4463530162165818801 - 1.792205501662032374e-813j)  +/-  (3.78e-245, 3.78e-245j)
| (9.9567075724986134856 + 1.1306688588406388226e-814j)  +/-  (8.9e-245, 8.9e-245j)
| (7.5454771160646529931 - 4.2316790386195520174e-812j)  +/-  (4.28e-244, 4.28e-244j)
| (8.6928691932368398578 - 1.3347244155514986325e-812j)  +/-  (2.98e-244, 2.98e-244j)
| (5.9534823782383842558 - 5.944157727707059457e-815j)  +/-  (1.11e-244, 1.11e-244j)
| (-4.9480371767546669693 + 2.9431799520547675087e-817j)  +/-  (1.43e-245, 1.43e-245j)
| (-8.6928691932368398578 - 3.1927072137831166425e-841j)  +/-  (3e-244, 3e-244j)
| (-3.4937799763178719731 + 6.8606807668310961863e-859j)  +/-  (1.84e-247, 1.84e-247j)
| (-9.9567075724986134856 + 1.5586768249989304747e-873j)  +/-  (7.48e-245, 7.48e-245j)
| (2.5487171711651821882 + 3.7016336821452420669e-900j)  +/-  (4.4e-249, 4.4e-249j)
| (3.4937799763178719731 - 1.1697128167078558161e-898j)  +/-  (1.94e-247, 1.94e-247j)
| (-2.0812188638081044098 + 1.0763331534844201847e-901j)  +/-  (5.39e-250, 5.39e-250j)
| (-3.0193415333793480159 - 6.4552220414257409004e-895j)  +/-  (3.48e-248, 3.48e-248j)
| (-8.1080518450542283235 + 5.3987476635244652546e-908j)  +/-  (3.52e-244, 3.52e-244j)
| (1.6162126195547403189 - 4.498740553701946584e-933j)  +/-  (5.55e-251, 5.55e-251j)
| (-3.9727905462359763685 - 4.0935334903739152192e-926j)  +/-  (8.68e-247, 8.68e-247j)
| (3.0193415333793480159 + 2.2289183615185175617e-938j)  +/-  (3.86e-248, 3.86e-248j)
| (3.9727905462359763685 - 9.703437352103920881e-935j)  +/-  (1.14e-246, 1.14e-246j)
| (-0.69133439086933041906 - 5.1242994480963544089e-944j)  +/-  (2.63e-253, 2.63e-253j)
| (-7.0008533625332242263 + 1.9613502388958617425e-934j)  +/-  (2.58e-244, 2.58e-244j)
| (2.0812188638081044098 + 2.8099176185910986341e-952j)  +/-  (6.23e-250, 6.23e-250j)
| (-5.9534823782383842558 + 8.275039984528433593e-946j)  +/-  (9.06e-245, 9.06e-245j)
| (-1.1531054446634879928 + 2.8375860602744521736e-964j)  +/-  (5.29e-252, 5.29e-252j)
| (-0.23035704406897731195 + 1.2791398709358712388e-986j)  +/-  (1.89e-254, 1.89e-254j)
| (6.4710030455262787704 - 2.6587426837738427253e-956j)  +/-  (1.97e-244, 1.97e-244j)
| (1.1531054446634879928 - 1.0471108757136595572e-964j)  +/-  (5e-252, 5e-252j)
| (7.0008533625332242263 - 3.7959306365381236988e-957j)  +/-  (2.54e-244, 2.54e-244j)
| (0.23035704406897731195 + 9.4760944717784277923e-983j)  +/-  (3e-254, 3e-254j)
| (4.9480371767546669693 + 1.5724412500503330123e-958j)  +/-  (1.32e-245, 1.32e-245j)
| (-5.4463530162165818801 - 4.3168255128548588246e-956j)  +/-  (4.07e-245, 4.07e-245j)
| (-7.5454771160646529931 - 1.9118439402353590355e-968j)  +/-  (4.17e-244, 4.17e-244j)
| (0.69133439086933041906 - 1.1050145871998293356e-988j)  +/-  (2.63e-253, 2.63e-253j)
| (9.3060151731190866603 + 7.7292352522158589247e-980j)  +/-  (1.92e-244, 1.92e-244j)
| (-2.5487171711651821882 + 1.8354192309427654415e-988j)  +/-  (5.04e-249, 5.04e-249j)
-------------------------------------------------
The weights are:
| (1.6861062907028789731e-10 - 9.2218504628427832608e-747j)  +/-  (1.73e-69, 1.16e-191j)
| (1.924664627046151336e-34 - 1.6142087302945144643e-760j)  +/-  (1.66e-82, 1.12e-204j)
| (1.1922462721328939598e-29 + 4.2299657793377900708e-758j)  +/-  (5.57e-81, 3.73e-203j)
| (6.1928596980735072401e-26 - 1.3038819300757006573e-755j)  +/-  (1.01e-80, 6.8e-203j)
| (1.1922462721328939598e-29 + 1.5232493914352840661e-757j)  +/-  (2.72e-82, 1.82e-204j)
| (1.924664627046151336e-34 - 5.1414555921360231682e-760j)  +/-  (3.54e-84, 2.37e-206j)
| (1.2122444154301636966e-15 - 5.2420326022563260979e-751j)  +/-  (2.9e-78, 1.94e-200j)
| (9.4365988215201905915e-06 - 3.3483386318395635496e-745j)  +/-  (2.39e-68, 1.6e-190j)
| (6.1928596980735072401e-26 - 3.1885201548694405629e-756j)  +/-  (1.81e-82, 1.21e-204j)
| (9.4365988215201905915e-06 + 6.1700989720426505355e-746j)  +/-  (5.1e-70, 3.42e-192j)
| (3.9345450902047704633e-20 - 1.5357705490901207598e-752j)  +/-  (8.72e-81, 5.85e-203j)
| (0.050138528301091800455 - 1.0123933807169149954e-743j)  +/-  (1.77e-55, 1.19e-177j)
| (7.258481863429436569e-08 + 4.9622309770038819932e-747j)  +/-  (2.72e-73, 1.82e-195j)
| (7.9861272605339871431e-23 + 1.194057008430679381e-754j)  +/-  (6.02e-82, 4.04e-204j)
| (9.561363845434943246e-14 + 4.8423363075316503709e-750j)  +/-  (2.54e-78, 1.7e-200j)
| (9.3003535077010857226e-18 + 4.4144195274858586653e-752j)  +/-  (3.32e-80, 2.23e-202j)
| (4.1082224808526673103e-09 - 1.1323548881801618465e-747j)  +/-  (1.22e-75, 8.18e-198j)
| (9.5175783497757900376e-07 + 1.4060703573855108613e-745j)  +/-  (9.92e-76, 6.65e-198j)
| (9.3003535077010857226e-18 + 3.0127689641462860243e-751j)  +/-  (2.09e-83, 1.4e-205j)
| (0.0004250585899081331199 - 1.5200119973146562218e-744j)  +/-  (5.5e-73, 3.68e-195j)
| (7.9861272605339871431e-23 + 5.6274485815243927297e-754j)  +/-  (4.11e-85, 2.75e-207j)
| (0.0072687294809933983353 + 2.0747710496376654691e-744j)  +/-  (5.56e-71, 3.73e-193j)
| (0.0004250585899081331199 + 4.5414082513973688278e-745j)  +/-  (9.09e-74, 6.09e-196j)
| (0.021324014147357214081 + 7.3017221773596093355e-744j)  +/-  (3.63e-69, 2.43e-191j)
| (0.0019752603706630536495 + 2.8262981099162190981e-744j)  +/-  (1.19e-72, 7.95e-195j)
| (1.2122444154301636966e-15 - 4.6683935792594933898e-750j)  +/-  (2.05e-83, 1.38e-205j)
| (0.050138528301091800455 + 6.0774411065148708309e-744j)  +/-  (1.16e-69, 7.78e-192j)
| (7.1832526125305651886e-05 + 7.4467227613949130303e-745j)  +/-  (2.54e-75, 1.7e-197j)
| (0.0019752603706630536495 - 1.0279315283804345727e-744j)  +/-  (3.1e-74, 2.08e-196j)
| (7.1832526125305651886e-05 - 1.7812967785901327835e-745j)  +/-  (2.17e-76, 1.45e-198j)
| (0.14490901603745706098 - 1.4457019113971265956e-743j)  +/-  (5.02e-71, 3.37e-193j)
| (4.8741129632428579008e-12 - 9.1459450832215843671e-748j)  +/-  (2.55e-82, 1.71e-204j)
| (0.021324014147357214081 - 3.7479130982896444576e-744j)  +/-  (3.81e-73, 2.56e-195j)
| (4.1082224808526673103e-09 + 2.7185246294514822764e-746j)  +/-  (1.16e-80, 7.78e-203j)
| (0.094874192225773718811 + 1.2713586079771466486e-743j)  +/-  (6.5e-72, 4.36e-194j)
| (0.17900290309735112475 + 1.4881081043518611507e-743j)  +/-  (7.77e-72, 5.21e-194j)
| (1.6861062907028789731e-10 + 2.2022918276026371393e-748j)  +/-  (3.07e-82, 2.06e-204j)
| (0.094874192225773718811 - 8.8678629113128528228e-744j)  +/-  (8.87e-74, 5.95e-196j)
| (4.8741129632428579008e-12 - 3.5971151672712163793e-749j)  +/-  (3.47e-83, 2.32e-205j)
| (0.17900290309735112475 - 1.3858016532462654197e-743j)  +/-  (3.22e-74, 2.14e-196j)
| (9.5175783497757900376e-07 - 1.8752864704087136001e-746j)  +/-  (4.9e-80, 3.27e-202j)
| (7.258481863429436569e-08 - 5.7714021101824914826e-746j)  +/-  (1.43e-81, 9.46e-204j)
| (9.561363845434943246e-14 + 6.3168123504609721243e-749j)  +/-  (9.79e-85, 6.49e-207j)
| (0.14490901603745706098 + 1.1666132872796538171e-743j)  +/-  (3.18e-77, 2.14e-199j)
| (3.9345450902047704633e-20 - 2.7596647677853827665e-753j)  +/-  (4.48e-88, 3.09e-210j)
| (0.0072687294809933983353 - 4.7711602317797192168e-744j)  +/-  (5.83e-79, 3.7e-201j)
