Starting with polynomial:
P : t^22 - 231*t^20 + 21945*t^18 - 1119195*t^16 + 33575850*t^14 - 611080470*t^12 + 6721885170*t^10 - 43212118950*t^8 + 151242416325*t^6 - 252070693875*t^4 + 151242416325*t^2 - 13749310575
Extension levels are: 22
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Ending with final polynomial:
P : t^22 - 231*t^20 + 21945*t^18 - 1119195*t^16 + 33575850*t^14 - 611080470*t^12 + 6721885170*t^10 - 43212118950*t^8 + 151242416325*t^6 - 252070693875*t^4 + 151242416325*t^2 - 13749310575
-------------------------------------------------
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
Positive weights:   22 out of 22
Indefinite weights: 0 out of 22
Negative weights:   0 out of 22
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-4.4763619773108684158 + 1.1621746547958603415e-309j)  +/-  (1.72e-122, 1.72e-122j)
| (-0.33117931571527377789 - 1.9377254629893689463e-320j)  +/-  (6.45e-127, 6.45e-127j)
| (-8.0740299840217109612 + 5.3375600760415754397e-331j)  +/-  (2.61e-123, 2.61e-123j)
| (-6.9859804240188138349 - 1.4208068592806597519e-347j)  +/-  (1.06e-122, 1.06e-122j)
| (6.0730749511228975445 - 1.6317352569468696944e-357j)  +/-  (1.93e-122, 1.93e-122j)
| (-6.0730749511228975445 - 2.6550156270794127712e-363j)  +/-  (2.12e-122, 2.12e-122j)
| (6.9859804240188138349 - 4.8781110382533266055e-368j)  +/-  (1.32e-122, 1.32e-122j)
| (-5.2477244337144249688 + 2.3410200235553906267e-369j)  +/-  (2.59e-122, 2.59e-122j)
| (-3.7414963502665176946 - 1.2287037314093833891e-372j)  +/-  (8.04e-123, 8.04e-123j)
| (2.3417599962877077336 - 3.4365065693198719729e-376j)  +/-  (4.57e-124, 4.57e-124j)
| (5.2477244337144249688 - 2.2924822677295851805e-382j)  +/-  (2.42e-122, 2.42e-122j)
| (4.4763619773108684158 + 1.960506207399064698e-387j)  +/-  (2.06e-122, 2.06e-122j)
| (-1.6641248391179069719 + 5.8861258713438001989e-391j)  +/-  (7.78e-125, 7.78e-125j)
| (8.0740299840217109612 - 4.7561471923634184885e-390j)  +/-  (2.22e-123, 2.22e-123j)
| (3.7414963502665176946 - 1.4836115376540013271e-390j)  +/-  (9.72e-123, 9.72e-123j)
| (1.6641248391179069719 + 4.2895433103913563703e-392j)  +/-  (6.15e-125, 6.15e-125j)
| (3.0324042278316759091 - 9.2882314601016488393e-392j)  +/-  (2.31e-123, 2.31e-123j)
| (-3.0324042278316759091 - 3.2940560753852788815e-393j)  +/-  (2.26e-123, 2.26e-123j)
| (-0.99516242227121542187 - 2.0619476246209603062e-398j)  +/-  (8.19e-126, 8.19e-126j)
| (-2.3417599962877077336 + 8.1190687778346909688e-401j)  +/-  (4.43e-124, 4.43e-124j)
| (0.99516242227121542187 - 5.1955164908199283047e-402j)  +/-  (8.38e-126, 8.38e-126j)
| (0.33117931571527377789 - 3.6183061275353072122e-403j)  +/-  (6.45e-127, 6.45e-127j)
-------------------------------------------------
The weights are:
| (1.3345977126809514312e-05 + 3.4714984741355102956e-314j)  +/-  (4.8e-37, 8.21e-99j)
| (0.25024359658693495123 + 5.1237083503598883328e-313j)  +/-  (5.36e-37, 9.18e-99j)
| (3.4794606478771458294e-15 - 6.9611576276535650736e-320j)  +/-  (8.41e-43, 1.44e-104j)
| (9.8413789823460859326e-12 + 5.3072172762588932893e-318j)  +/-  (1.64e-41, 2.8e-103j)
| (3.3665141594582111065e-09 - 2.3351109970909653911e-317j)  +/-  (7.07e-43, 1.21e-104j)
| (3.3665141594582111065e-09 - 1.5428011587390568928e-316j)  +/-  (1.12e-40, 1.91e-102j)
| (9.8413789823460859326e-12 + 1.1619867802477520365e-318j)  +/-  (2.34e-44, 4e-106j)
| (3.3198537498140360617e-07 + 3.1713747694459222064e-315j)  +/-  (7.76e-40, 1.33e-101j)
| (0.00026228330325596376424 - 9.3567273939822291627e-314j)  +/-  (1.82e-38, 3.11e-100j)
| (0.017569072880805766098 + 8.2538437156492480051e-314j)  +/-  (2.71e-38, 4.65e-100j)
| (3.3198537498140360617e-07 + 2.5156907498310245226e-316j)  +/-  (6.39e-43, 1.09e-104j)
| (1.3345977126809514312e-05 - 1.7324734207080491641e-315j)  +/-  (2.33e-42, 3.99e-104j)
| (0.067196311428890026671 + 3.9135182914776873937e-313j)  +/-  (1.27e-38, 2.17e-100j)
| (3.4794606478771458294e-15 - 1.9954702693773228468e-320j)  +/-  (4e-47, 6.85e-109j)
| (0.00026228330325596376424 + 8.3670672264187150015e-315j)  +/-  (4.87e-42, 8.34e-104j)
| (0.067196311428890026671 - 1.7923239115998575985e-313j)  +/-  (2.33e-40, 3.98e-102j)
| (0.0028087610475772157675 - 2.9966457137599914108e-314j)  +/-  (1.42e-41, 2.44e-103j)
| (0.0028087610475772157675 + 1.5582943624580514581e-313j)  +/-  (1.43e-42, 2.44e-104j)
| (0.16190629341367526765 - 4.9073783104468183042e-313j)  +/-  (3.05e-41, 5.25e-103j)
| (0.017569072880805766098 - 2.636356293527255895e-313j)  +/-  (3.05e-42, 5.21e-104j)
| (0.16190629341367526765 + 3.1222675031203543429e-313j)  +/-  (5.81e-42, 1.01e-103j)
| (0.25024359658693495123 - 4.4177897606670276174e-313j)  +/-  (9.9e-42, 1.64e-103j)
