Starting with polynomial:
P : 70368744177664*t^46 - 791648371998720*t^44 + 4160551999504384*t^42 - 13569072998383616*t^40 + 30767084124241920*t^38 - 51498238427004928*t^36 + 65942866278481920*t^34 - 66060621396836352*t^32 + 52509724700049408*t^30 - 33394342462750720*t^28 + 17058191149891584*t^26 - 6999889045094400*t^24 + 2299963543388160*t^22 - 601008572989440*t^20 + 123584013926400*t^18 - 19696202219520*t^16 + 2382605107200*t^14 - 212565749760*t^12 + 13438064640*t^10 - 568339200*t^8 + 14734720*t^6 - 202400*t^4 + 1104*t^2 - 1
Extension levels are: 46
-------------------------------------------------
Ending with final polynomial:
P : 70368744177664*t^46 - 791648371998720*t^44 + 4160551999504384*t^42 - 13569072998383616*t^40 + 30767084124241920*t^38 - 51498238427004928*t^36 + 65942866278481920*t^34 - 66060621396836352*t^32 + 52509724700049408*t^30 - 33394342462750720*t^28 + 17058191149891584*t^26 - 6999889045094400*t^24 + 2299963543388160*t^22 - 601008572989440*t^20 + 123584013926400*t^18 - 19696202219520*t^16 + 2382605107200*t^14 - 212565749760*t^12 + 13438064640*t^10 - 568339200*t^8 + 14734720*t^6 - 202400*t^4 + 1104*t^2 - 1
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:
| (0.97996170503658681679 + 1.8714595978570017775e-864j)  +/-  (5.08e-240, 5.08e-240j)
| (-0.97996170503658681679 + 1.3815301905752220913e-869j)  +/-  (5.78e-240, 5.78e-240j)
| (-0.89251883585988122582 + 3.3304356843574574621e-885j)  +/-  (1.59e-240, 1.59e-240j)
| (0.99107748815478009891 - 2.7527531375927454733e-891j)  +/-  (3.33e-240, 3.33e-240j)
| (0.92064988667642876747 - 1.0366680600388960389e-890j)  +/-  (3.27e-240, 3.27e-240j)
| (0.94466909160791880067 + 2.4522709965837772904e-890j)  +/-  (4.57e-240, 4.57e-240j)
| (-0.99107748815478009891 + 4.749964419183588005e-889j)  +/-  (3.54e-240, 3.54e-240j)
| (-0.92064988667642876747 + 3.1193172521445366474e-899j)  +/-  (3.75e-240, 3.75e-240j)
| (-0.94466909160791880067 + 1.3923022408397314748e-913j)  +/-  (4.87e-240, 4.87e-240j)
| (0.99776687862315315956 + 3.7088165896919493395e-925j)  +/-  (1.18e-240, 1.18e-240j)
| (0.89251883585988122582 + 1.0046463821631460202e-925j)  +/-  (1.61e-240, 1.61e-240j)
| (-0.99776687862315315956 + 7.5932587612100523781e-924j)  +/-  (1.19e-240, 1.19e-240j)
| (-0.86040157926013936987 + 1.095165643827816067e-939j)  +/-  (7.41e-241, 7.41e-241j)
| (-0.78479938527866096605 - 1.5805070439912789192e-945j)  +/-  (6.26e-242, 6.26e-242j)
| (0.96446917505437657452 - 5.6521990829300022284e-953j)  +/-  (7.17e-240, 7.17e-240j)
| (0.78479938527866096605 + 1.5635954702222821852e-961j)  +/-  (7.04e-242, 7.04e-242j)
| (0.64562785155880239765 + 8.6985104939095331541e-965j)  +/-  (5.33e-244, 5.33e-244j)
| (-0.96446917505437657452 + 1.424679820514350414e-961j)  +/-  (6.26e-240, 6.26e-240j)
| (-0.82444156034176031724 - 6.6416707849719308191e-979j)  +/-  (2.4e-241, 2.4e-241j)
| (-0.48058175518668378052 - 5.9255852796061012892e-987j)  +/-  (9.81e-247, 9.81e-247j)
| (0.86040157926013936987 - 1.4586948907657980728e-981j)  +/-  (6.94e-241, 6.94e-241j)
| (0.74165210564795754011 + 6.2728427866466615907e-985j)  +/-  (1.67e-242, 1.67e-242j)
| (0.82444156034176031724 - 2.7964114023636560481e-986j)  +/-  (2.91e-241, 2.91e-241j)
| (-0.74165210564795754011 - 2.3502884212264120809e-986j)  +/-  (1.71e-242, 1.71e-242j)
| (-0.69519242767464226355 + 8.453646735182724819e-991j)  +/-  (3.15e-243, 3.15e-243j)
| (0.033414977007674570875 + 2.4464948841747448647e-1006j)  +/-  (2.71e-255, 2.71e-255j)
| (0.69519242767464226355 - 1.724961586066456163e-994j)  +/-  (3.3e-243, 3.3e-243j)
| (0.3594077728375128366 + 5.4351681197174128185e-1000j)  +/-  (5.03e-249, 5.03e-249j)
| (-0.16632935458313003286 - 5.2312328980228028769e-1001j)  +/-  (1.08e-252, 1.08e-252j)
| (-0.64562785155880239765 + 1.6505582848163322256e-994j)  +/-  (4.88e-244, 4.88e-244j)
| (-0.29627558088563397732 - 7.8010819249016116428e-1001j)  +/-  (4.06e-250, 4.06e-250j)
| (0.48058175518668378052 + 4.4016715825594312409e-998j)  +/-  (1e-246, 1e-246j)
| (0.53808235316337267444 + 4.508887383689501586e-996j)  +/-  (1.16e-245, 1.16e-245j)
| (0.10009569162409834512 - 2.7760816280984872804e-1007j)  +/-  (5.56e-254, 5.56e-254j)
| (-0.3594077728375128366 + 6.5414885595592250121e-1001j)  +/-  (6.5e-249, 6.5e-249j)
| (-0.42093476242833496963 + 2.738541224487812467e-999j)  +/-  (8.9e-248, 8.9e-248j)
| (0.16632935458313003286 - 4.1207653467081424151e-1005j)  +/-  (1.46e-252, 1.46e-252j)
| (0.5931797447293552111 - 7.5044316572805657321e-998j)  +/-  (8.03e-245, 8.03e-245j)
| (0.23182015026752826926 + 2.2010524894128253745e-1004j)  +/-  (1.91e-251, 1.91e-251j)
| (-0.23182015026752826926 + 1.1820311635114077828e-1003j)  +/-  (1.98e-251, 1.98e-251j)
| (-0.53808235316337267444 + 5.0322683806719890785e-998j)  +/-  (1.08e-245, 1.08e-245j)
| (-0.10009569162409834512 + 1.5632423318382433713e-1008j)  +/-  (4.89e-254, 4.89e-254j)
| (0.29627558088563397732 - 8.4061722967573437311e-1004j)  +/-  (3.68e-250, 3.68e-250j)
| (0.42093476242833496963 + 1.6979950486093025471e-1002j)  +/-  (8.85e-248, 8.85e-248j)
| (-0.033414977007674570875 + 1.8918107819639743837e-1009j)  +/-  (2.71e-255, 2.71e-255j)
| (-0.5931797447293552111 - 9.1897462761648100618e-1002j)  +/-  (7.68e-245, 7.68e-245j)
-------------------------------------------------
The weights are:
| (0.000844150141740119495 - 5.853060398510661297e-866j)  +/-  (9.74e-67, 3.4e-183j)
| (0.000844150141740119495 + 8.0648035422308387032e-868j)  +/-  (2.37e-67, 8.27e-184j)
| (0.0043278750560706892436 + 4.3261991155724597735e-867j)  +/-  (2.24e-67, 7.81e-184j)
| (0.00037798749942152580299 - 6.3638188752961219611e-866j)  +/-  (3.07e-67, 1.07e-183j)
| (0.0032426337481421035793 + 1.0231450689039511567e-865j)  +/-  (7.19e-68, 2.51e-184j)
| (0.0022893682417163727016 - 1.2139822848845964857e-865j)  +/-  (1.14e-67, 3.98e-184j)
| (0.00037798749942152580299 - 3.5842127057932213501e-868j)  +/-  (6.29e-69, 2.2e-185j)
| (0.0032426337481421035793 - 3.1936528223939660847e-867j)  +/-  (5.72e-69, 2e-185j)
| (0.0022893682417163727016 + 2.2270167244774352935e-867j)  +/-  (4.28e-69, 1.5e-185j)
| (9.4920338778935118003e-05 + 9.9768511871066330837e-867j)  +/-  (2.24e-69, 7.83e-186j)
| (0.0043278750560706892436 - 9.2625575766664591851e-866j)  +/-  (4.25e-70, 1.49e-186j)
| (9.4920338778935118003e-05 + 8.9746348696389627849e-869j)  +/-  (8.03e-70, 2.8e-186j)
| (0.0055257260086523002072 - 5.6197317893085801819e-867j)  +/-  (1.17e-70, 4.1e-187j)
| (0.0081721260609837418163 - 8.6667961690620136034e-867j)  +/-  (3.46e-72, 1.21e-188j)
| (0.0014850895823389428737 + 1.7939518717787644571e-865j)  +/-  (1.03e-69, 3.61e-186j)
| (0.0081721260609837418163 + 7.836459546178005522e-866j)  +/-  (5.61e-73, 1.96e-189j)
| (0.012407759091309893967 - 6.945349641678625475e-866j)  +/-  (3.87e-74, 1.35e-190j)
| (0.0014850895823389428737 - 1.4306809341397254953e-867j)  +/-  (2.3e-70, 8.03e-187j)
| (0.0068148109272605017383 + 7.0686724583403013327e-867j)  +/-  (5.33e-72, 1.86e-188j)
| (0.016362578225142262494 - 2.0966555287297987995e-866j)  +/-  (7.54e-76, 2.63e-192j)
| (0.0055257260086523002072 + 8.6493535083720083513e-866j)  +/-  (9.05e-73, 3.16e-189j)
| (0.0095734500891053367541 - 7.5180955393996782324e-866j)  +/-  (1.35e-74, 4.73e-191j)
| (0.0068148109272605017383 - 8.2006427251150667916e-866j)  +/-  (2.2e-73, 7.67e-190j)
| (0.0095734500891053367541 + 1.0407258832307062389e-866j)  +/-  (2.45e-75, 8.57e-192j)
| (0.010993776351145474158 - 1.2282631976674361118e-866j)  +/-  (2.84e-76, 9.93e-193j)
| (0.0212528391342888634 - 4.2020222407371113452e-866j)  +/-  (3.89e-80, 1.36e-196j)
| (0.010993776351145474158 + 7.224948659845780826e-866j)  +/-  (1.77e-76, 6.18e-193j)
| (0.018528213889871888725 + 5.5877371027682692193e-866j)  +/-  (5.47e-80, 1.91e-196j)
| (0.020687969059658710645 + 3.3775977399394438418e-866j)  +/-  (1.05e-80, 3.66e-197j)
| (0.012407759091309893967 + 1.4284942471602791506e-866j)  +/-  (2.13e-78, 7.44e-195j)
| (0.019408952769593194864 + 2.8461456097379929701e-866j)  +/-  (1.11e-80, 3.88e-197j)
| (0.016362578225142262494 + 6.1320005669626855312e-866j)  +/-  (1.32e-80, 4.6e-197j)
| (0.015116327259875903932 - 6.4021222996857607599e-866j)  +/-  (3.01e-80, 1.05e-196j)
| (0.021063422394006242732 + 4.4801799890530526557e-866j)  +/-  (3.81e-82, 1.33e-198j)
| (0.018528213889871888725 - 2.5889313416450194477e-866j)  +/-  (6.95e-82, 2.43e-198j)
| (0.017506679271902153166 + 2.3387630564709792625e-866j)  +/-  (8.2e-82, 2.86e-198j)
| (0.020687969059658710645 - 4.7585252850813647058e-866j)  +/-  (4.13e-83, 1.44e-199j)
| (0.01379016575410248912 + 6.6724375866148106556e-866j)  +/-  (6.96e-82, 2.43e-198j)
| (0.020133179104892353466 + 5.0362932997726924479e-866j)  +/-  (1.65e-83, 5.76e-200j)
| (0.020133179104892353466 - 3.1093782784090852566e-866j)  +/-  (2.19e-83, 7.64e-200j)
| (0.015116327259875903932 + 1.8636029056543767129e-866j)  +/-  (1.04e-83, 3.64e-200j)
| (0.021063422394006242732 - 3.6497783665542154955e-866j)  +/-  (4.7e-84, 1.64e-200j)
| (0.019408952769593194864 - 5.3128494649830988602e-866j)  +/-  (2.92e-84, 1.01e-200j)
| (0.017506679271902153166 - 5.8607442623896490279e-866j)  +/-  (2.93e-84, 1.02e-200j)
| (0.0212528391342888634 + 3.9249121110691011317e-866j)  +/-  (1.73e-84, 6.11e-201j)
| (0.01379016575410248912 - 1.6405716685554925945e-866j)  +/-  (7.14e-85, 2.32e-201j)
