Starting with polynomial:
P : 4194304*t^22 - 484442112*t^20 + 23011000320*t^18 - 586780508160*t^16 + 8801707622400*t^14 - 80095539363840*t^12 + 440525466501120*t^10 - 1415974713753600*t^8 + 2477955749068800*t^6 - 2064963124224000*t^4 + 619488937267200*t^2 - 28158588057600
Extension levels are: 22
-------------------------------------------------
Ending with final polynomial:
P : 4194304*t^22 - 484442112*t^20 + 23011000320*t^18 - 586780508160*t^16 + 8801707622400*t^14 - 80095539363840*t^12 + 440525466501120*t^10 - 1415974713753600*t^8 + 2477955749068800*t^6 - 2064963124224000*t^4 + 619488937267200*t^2 - 28158588057600
-------------------------------------------------
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:
| (-2.1442335927985344636 + 6.0200238460546893993e-381j)  +/-  (1.49e-123, 1.49e-123j)
| (3.165265909202137447 - 3.3320739750570835733e-382j)  +/-  (1.12e-122, 1.12e-122j)
| (4.9398341310601758879 - 2.0570848848319538438e-382j)  +/-  (6.76e-123, 6.76e-123j)
| (3.7107015328778049148 + 8.2237081558696572588e-384j)  +/-  (1.43e-122, 1.43e-122j)
| (4.2943124805931615158 - 1.3145022223543749895e-383j)  +/-  (1.49e-122, 1.49e-122j)
| (-5.7092013532052637774 - 2.2252258726159762271e-382j)  +/-  (1.76e-123, 1.76e-123j)
| (-1.1767139584812444474 + 6.3756585490649112422e-386j)  +/-  (5e-125, 5e-125j)
| (-4.2943124805931615158 - 1.3745901066048704886e-386j)  +/-  (1.28e-122, 1.28e-122j)
| (-3.165265909202137447 + 1.1733166005676305598e-388j)  +/-  (1.18e-122, 1.18e-122j)
| (-4.9398341310601758879 + 4.2503949359810050084e-393j)  +/-  (8.23e-123, 8.23e-123j)
| (-3.7107015328778049148 + 4.2320441354761528075e-394j)  +/-  (1.73e-122, 1.73e-122j)
| (1.1767139584812444474 - 1.4661909001766735338e-398j)  +/-  (4.43e-125, 4.43e-125j)
| (2.6456374410581727008 - 2.6558288046029639076e-412j)  +/-  (5.44e-123, 5.44e-123j)
| (-0.2341791399309906351 + 5.2182530992623652067e-416j)  +/-  (3.31e-127, 3.31e-127j)
| (5.7092013532052637774 + 5.082397232960508832e-423j)  +/-  (1.65e-123, 1.65e-123j)
| (0.2341791399309906351 + 4.5494514120042332531e-422j)  +/-  (3.31e-127, 3.31e-127j)
| (2.1442335927985344636 - 5.6379472978968436808e-429j)  +/-  (1.66e-123, 1.66e-123j)
| (-1.6558743732864224954 - 8.0327272092090786759e-432j)  +/-  (2.93e-124, 2.93e-124j)
| (-0.70368609717000693217 - 1.4614319569359010969e-436j)  +/-  (5.86e-126, 5.86e-126j)
| (-2.6456374410581727008 + 4.9072693514557724404e-440j)  +/-  (5.01e-123, 5.01e-123j)
| (1.6558743732864224954 + 4.4936735100610658905e-445j)  +/-  (2.99e-124, 2.99e-124j)
| (0.70368609717000693217 - 1.5144835845531301525e-448j)  +/-  (5.86e-126, 5.86e-126j)
-------------------------------------------------
The weights are:
| (0.0028087610475772157675 + 3.6243334841330640631e-383j)  +/-  (5.48e-37, 2.67e-98j)
| (1.3345977126809514312e-05 - 2.0542673132303834133e-385j)  +/-  (7.24e-41, 3.53e-102j)
| (9.8413789823460859326e-12 + 1.4347275823382643567e-388j)  +/-  (2.72e-45, 1.33e-106j)
| (3.3198537498140360617e-07 + 3.2674612388717844442e-386j)  +/-  (8.05e-43, 3.93e-104j)
| (3.3665141594582111065e-09 - 2.9382036868878157927e-387j)  +/-  (4.51e-44, 2.2e-105j)
| (3.4794606478771458294e-15 - 5.2873934231267802242e-390j)  +/-  (1.67e-49, 8.14e-111j)
| (0.067196311428890026671 + 8.5412899343388331189e-383j)  +/-  (5.7e-38, 2.78e-99j)
| (3.3665141594582111065e-09 - 8.619579699497571756e-387j)  +/-  (2.22e-47, 1.08e-108j)
| (1.3345977126809514312e-05 - 1.1422759028565340288e-384j)  +/-  (1.5e-45, 7.29e-107j)
| (9.8413789823460859326e-12 + 3.5850772609471267215e-388j)  +/-  (9.18e-49, 4.48e-110j)
| (3.3198537498140360617e-07 + 1.1745897808271778837e-385j)  +/-  (1.01e-46, 4.92e-108j)
| (0.067196311428890026671 - 2.4746474473117032765e-383j)  +/-  (7.07e-42, 3.47e-103j)
| (0.00026228330325596376424 + 1.0407971460972479648e-384j)  +/-  (2.23e-45, 1.1e-106j)
| (0.25024359658693495123 + 8.3387656654427271625e-383j)  +/-  (1.26e-42, 6.12e-104j)
| (3.4794606478771458294e-15 - 2.4248482867268512232e-390j)  +/-  (5.46e-51, 2.68e-112j)
| (0.25024359658693495123 - 6.6901627123087645976e-383j)  +/-  (5.68e-43, 2.74e-104j)
| (0.0028087610475772157675 - 3.8797686723280529899e-384j)  +/-  (5.25e-45, 2.56e-106j)
| (0.017569072880805766098 - 8.6556405780374903344e-383j)  +/-  (1.43e-44, 6.85e-106j)
| (0.16190629341367526765 - 8.9003875082476799384e-383j)  +/-  (5.43e-44, 2.52e-105j)
| (0.00026228330325596376424 + 1.0308712433679705568e-383j)  +/-  (9.05e-46, 4.33e-107j)
| (0.017569072880805766098 + 1.1021994029697487793e-383j)  +/-  (3e-45, 1.64e-106j)
| (0.16190629341367526765 + 4.4881389241615653127e-383j)  +/-  (1.9e-44, 7.56e-106j)
