Starting with polynomial:
P : t^18 - 153*t^16 + 9180*t^14 - 278460*t^12 + 4594590*t^10 - 41351310*t^8 + 192972780*t^6 - 413513100*t^4 + 310134825*t^2 - 34459425
Extension levels are: 18
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Ending with final polynomial:
P : t^18 - 153*t^16 + 9180*t^14 - 278460*t^12 + 4594590*t^10 - 41351310*t^8 + 192972780*t^6 - 413513100*t^4 + 310134825*t^2 - 34459425
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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: 1
  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:   18 out of 18
Indefinite weights: 0 out of 18
Negative weights:   0 out of 18
Extension rule has valid weights: 1
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The nodes are:
| (6.0077459113595975203 + 1.6902671650219426907e-371j)  +/-  (1.54e-123, 1.54e-123j)
| (-2.5958336889112403291 - 1.4167655711246174031e-378j)  +/-  (2.38e-124, 2.38e-124j)
| (3.3747365357780909953 - 1.3792815404158086131e-385j)  +/-  (8.39e-124, 8.39e-124j)
| (-7.1394648491464788756 - 1.3654952994330555037e-391j)  +/-  (4.06e-124, 4.06e-124j)
| (-1.0983955180915012277 - 3.9014151412373014392e-391j)  +/-  (6.08e-126, 6.08e-126j)
| (-4.1880202316294037045 + 7.0069417792182788469e-400j)  +/-  (1.67e-123, 1.67e-123j)
| (5.0540726854427398454 - 3.1481879345887188604e-411j)  +/-  (2.28e-123, 2.28e-123j)
| (7.1394648491464788756 + 1.3993985483394197474e-418j)  +/-  (4.15e-124, 4.15e-124j)
| (-6.0077459113595975203 - 2.2292071916729186472e-418j)  +/-  (1.32e-123, 1.32e-123j)
| (0.36524575550769759592 - 2.1882543641913301915e-422j)  +/-  (8.68e-127, 8.68e-127j)
| (1.8397799215086454897 - 3.6049908847625187934e-437j)  +/-  (5.36e-125, 5.36e-125j)
| (4.1880202316294037045 + 1.7890407554726829268e-450j)  +/-  (1.93e-123, 1.93e-123j)
| (-0.36524575550769759592 + 6.8192109107598669961e-455j)  +/-  (8.68e-127, 8.68e-127j)
| (-3.3747365357780909953 - 1.1637249879606152609e-455j)  +/-  (9.04e-124, 9.04e-124j)
| (-5.0540726854427398454 + 2.5702892001904652192e-458j)  +/-  (2.15e-123, 2.15e-123j)
| (1.0983955180915012277 + 5.1653054852742917063e-461j)  +/-  (6.08e-126, 6.08e-126j)
| (2.5958336889112403291 - 3.2167035057683305849e-470j)  +/-  (2.71e-124, 2.71e-124j)
| (-1.8397799215086454897 - 2.2564346707881541231e-485j)  +/-  (4.65e-125, 4.65e-125j)
-------------------------------------------------
The weights are:
| (5.9054884788365959304e-09 - 2.9984089310368844615e-379j)  +/-  (7.7e-54, 9.89e-115j)
| (0.010516517751941341968 + 1.5463125333919052033e-377j)  +/-  (2.84e-48, 3.64e-109j)
| (0.0010654847962916520137 + 1.6102120343991328209e-377j)  +/-  (3.58e-50, 4.61e-111j)
| (4.4165887693587052281e-12 - 2.0769864514875218139e-382j)  +/-  (5.63e-56, 7.23e-117j)
| (0.16068530389351263536 + 7.3233014853787147706e-377j)  +/-  (4.34e-45, 5.58e-106j)
| (5.1798961441162062137e-05 + 9.1756088043261724322e-379j)  +/-  (2.59e-52, 3.33e-113j)
| (1.0215523976369812623e-06 + 1.3766005728102354119e-378j)  +/-  (1.87e-53, 2.4e-114j)
| (4.4165887693587052281e-12 - 2.4120916981132225932e-381j)  +/-  (4.18e-56, 5.37e-117j)
| (5.9054884788365959304e-09 + 8.3107585980444066394e-381j)  +/-  (2.54e-55, 3.26e-116j)
| (0.27278323465428787436 + 1.2020649913470550629e-376j)  +/-  (1.27e-48, 1.63e-109j)
| (0.054896632480222629647 + 7.3010665191135574565e-377j)  +/-  (8.25e-51, 1.06e-111j)
| (5.1798961441162062137e-05 - 5.1371806706728653048e-378j)  +/-  (6.98e-53, 8.96e-114j)
| (0.27278323465428787436 - 1.0641673808341602663e-376j)  +/-  (3.81e-49, 4.88e-110j)
| (0.0010654847962916520137 - 4.5250553455806057701e-378j)  +/-  (1e-52, 1.28e-113j)
| (1.0215523976369812623e-06 - 1.1874233871715233601e-379j)  +/-  (1.92e-54, 2.47e-115j)
| (0.16068530389351263536 - 1.0604318346340810477e-376j)  +/-  (2.37e-51, 3.14e-112j)
| (0.010516517751941341968 - 3.9038171931906294927e-377j)  +/-  (2.47e-52, 3.23e-113j)
| (0.054896632480222629647 - 3.8736364552231505701e-377j)  +/-  (6.23e-52, 7.62e-113j)
