Starting with polynomial:
P : 514589420475/524288*t^23 - 2893136075115/524288*t^21 + 7064634602025/524288*t^19 - 9821565178425/524288*t^17 + 4281195077775/262144*t^15 - 2429867476575/262144*t^13 + 902522205585/262144*t^11 - 214886239425/262144*t^9 + 62386327575/524288*t^7 - 5019589575/524288*t^5 + 185910725/524288*t^3 - 2028117/524288*t
Extension levels are: 23
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Ending with final polynomial:
P : 514589420475/524288*t^23 - 2893136075115/524288*t^21 + 7064634602025/524288*t^19 - 9821565178425/524288*t^17 + 4281195077775/262144*t^15 - 2429867476575/262144*t^13 + 902522205585/262144*t^11 - 214886239425/262144*t^9 + 62386327575/524288*t^7 - 5019589575/524288*t^5 + 185910725/524288*t^3 - 2028117/524288*t
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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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (0.99476933499755212352 + 2.0302018547872723771e-257j)  +/-  (5.83e-121, 5.83e-121j)
| (-0.39030103803029083142 - 1.3508190015384066268e-256j)  +/-  (1.45e-124, 1.45e-124j)
| (-0.87675235827044166738 + 1.3320656537693459199e-264j)  +/-  (6.64e-121, 6.64e-121j)
| (-0.50950147784600754969 - 5.1227679070562580714e-275j)  +/-  (1.66e-123, 1.66e-123j)
| (0.87675235827044166738 + 5.4443613759325030801e-281j)  +/-  (7.06e-121, 7.06e-121j)
| (0.26413568097034493053 - 9.5820796426635715264e-285j)  +/-  (8.56e-126, 8.56e-126j)
| (-0.99476933499755212352 - 1.8970650660275592955e-310j)  +/-  (6.03e-121, 6.03e-121j)
| (-0.97254247121811523196 - 1.1134210972757939243e-340j)  +/-  (1.49e-120, 1.49e-120j)
| (0.93297108682601610235 + 1.6639125263594875421e-355j)  +/-  (1.52e-120, 1.52e-120j)
| (-0.93297108682601610235 - 5.5068463066194066744e-355j)  +/-  (1.24e-120, 1.24e-120j)
| (0.80488840161883989215 + 3.8258543046814993144e-361j)  +/-  (2.95e-121, 2.95e-121j)
| (0.97254247121811523196 + 1.0850539355470169358e-361j)  +/-  (1.4e-120, 1.4e-120j)
| (-0.61960987576364615639 - 1.0265304211978388561e-360j)  +/-  (1.51e-122, 1.51e-122j)
| (-0.71866136313195019446 + 5.5252967569617122335e-365j)  +/-  (7.35e-122, 7.35e-122j)
| (1.489498419629736744e-370 - 4.3593706863505377405e-371j)  +/-  (3.57e-369, 3.57e-369j)
| (0.61960987576364615639 - 6.1658540355397911271e-372j)  +/-  (1.04e-122, 1.04e-122j)
| (0.50950147784600754969 + 9.3193309312882179106e-371j)  +/-  (1.51e-123, 1.51e-123j)
| (-0.13325682429846611093 + 5.1865121672025841099e-371j)  +/-  (4.79e-127, 4.79e-127j)
| (-0.80488840161883989215 + 2.4592859042580196793e-369j)  +/-  (2.39e-121, 2.39e-121j)
| (-0.26413568097034493053 + 4.4805211186816025372e-377j)  +/-  (1.04e-125, 1.04e-125j)
| (0.39030103803029083142 - 1.3069846868308335728e-378j)  +/-  (1.54e-124, 1.54e-124j)
| (0.71866136313195019446 - 7.748613124261465433e-379j)  +/-  (7.7e-122, 7.7e-122j)
| (0.13325682429846611093 + 4.512558222091147922e-380j)  +/-  (4.79e-127, 4.79e-127j)
-------------------------------------------------
The weights are:
| (0.013411859487141772081 - 2.6399343932012989713e-257j)  +/-  (1.38e-38, 1.31e-97j)
| (0.12304908430672953047 - 1.3020423903607676113e-257j)  +/-  (7.18e-39, 6.79e-98j)
| (0.064232421408525852127 - 1.1396880037730103255e-257j)  +/-  (1.43e-39, 1.35e-98j)
| (0.11499664022241136494 - 1.215217606407496988e-256j)  +/-  (4.27e-39, 4.04e-98j)
| (0.064232421408525852127 + 2.8724093143531256752e-257j)  +/-  (3.12e-40, 2.95e-99j)
| (0.12890572218808214998 + 3.8141707182560392009e-257j)  +/-  (3.71e-40, 3.51e-99j)
| (0.013411859487141772081 + 8.703501493464572902e-259j)  +/-  (7.84e-41, 7.41e-100j)
| (0.030988005856979444311 - 3.141956890725714524e-258j)  +/-  (1.04e-40, 9.84e-100j)
| (0.048037671731084668572 - 3.2452830152333600489e-257j)  +/-  (7.87e-42, 7.45e-101j)
| (0.048037671731084668572 + 6.5401063933716766384e-258j)  +/-  (8.48e-41, 8.03e-100j)
| (0.079281411776718954923 - 2.7450044166994389278e-257j)  +/-  (2.19e-42, 2.07e-101j)
| (0.030988005856979444311 + 4.3972063246889218368e-257j)  +/-  (4.86e-42, 4.6e-101j)
| (0.10489209146454141007 + 5.3430646732122613521e-257j)  +/-  (6.82e-42, 6.46e-101j)
| (0.092915766060035147477 - 3.0374785484406090958e-257j)  +/-  (4.65e-42, 4.4e-101j)
| (0.13365457218610617535 + 5.6666883180504794353e-257j)  +/-  (1.35e-43, 1.28e-102j)
| (0.10489209146454141007 - 2.8551602371759534529e-257j)  +/-  (3.1e-44, 2.94e-103j)
| (0.11499664022241136494 + 3.0530578029135728385e-257j)  +/-  (2.62e-44, 2.48e-103j)
| (0.13246203940469661737 - 7.9582616028957947022e-257j)  +/-  (2.36e-44, 2.23e-103j)
| (0.079281411776718954923 + 1.8605389041135412952e-257j)  +/-  (5.05e-44, 4.78e-103j)
| (0.12890572218808214998 + 1.4759029670576805556e-256j)  +/-  (2.14e-44, 2.03e-103j)
| (0.12304908430672953047 - 3.359150473527666179e-257j)  +/-  (3.18e-45, 3.03e-104j)
| (0.092915766060035147477 + 2.7506901169111898446e-257j)  +/-  (1.92e-45, 1.87e-104j)
| (0.13246203940469661737 - 4.5095266628923097802e-257j)  +/-  (3.3e-45, 3.06e-104j)
