Starting with polynomial:
P : 262144*t^18 - 20054016*t^16 + 601620480*t^14 - 9124577280*t^12 + 75277762560*t^10 - 338749931520*t^8 + 790416506880*t^6 - 846874828800*t^4 + 317578060800*t^2 - 17643225600
Extension levels are: 18
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Ending with final polynomial:
P : 262144*t^18 - 20054016*t^16 + 601620480*t^14 - 9124577280*t^12 + 75277762560*t^10 - 338749931520*t^8 + 790416506880*t^6 - 846874828800*t^4 + 317578060800*t^2 - 17643225600
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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
-------------------------------------------------
The nodes are:
| (2.3862990891666860003 + 1.0614691609870531223e-325j)  +/-  (5.3e-124, 5.3e-124j)
| (-4.248117873568126463 + 1.3617105043134083894e-331j)  +/-  (9.31e-124, 9.31e-124j)
| (-5.0483640088744667684 + 9.1442742749398959622e-333j)  +/-  (2.74e-124, 2.74e-124j)
| (2.9613775055316068448 + 4.1527137660582084779e-330j)  +/-  (9.74e-124, 9.74e-124j)
| (5.0483640088744667684 - 3.5316108417496680505e-334j)  +/-  (2.76e-124, 2.76e-124j)
| (1.8355316042616288923 + 2.0274675935394992915e-332j)  +/-  (1.75e-124, 1.75e-124j)
| (0.25826775051909675926 - 6.9662428072534766777e-338j)  +/-  (4.49e-127, 4.49e-127j)
| (-0.77668291926741166132 - 1.716143116546864307e-349j)  +/-  (5.87e-126, 5.87e-126j)
| (0.77668291926741166132 - 5.4808463336755721561e-355j)  +/-  (4.29e-126, 4.29e-126j)
| (3.5737690684862660795 - 3.2290888484569317699e-359j)  +/-  (1.63e-123, 1.63e-123j)
| (-1.3009208583896173657 - 1.0141602990131656144e-371j)  +/-  (3.99e-125, 3.99e-125j)
| (-3.5737690684862660795 - 3.6168450846843566059e-377j)  +/-  (1.4e-123, 1.4e-123j)
| (-0.25826775051909675926 - 1.5943544591860032597e-389j)  +/-  (4.49e-127, 4.49e-127j)
| (-2.3862990891666860003 + 3.9254874591852736299e-398j)  +/-  (6.38e-124, 6.38e-124j)
| (4.248117873568126463 + 7.8779134760552797603e-404j)  +/-  (1.01e-123, 1.01e-123j)
| (-2.9613775055316068448 - 2.0981658760800638566e-407j)  +/-  (1.4e-123, 1.4e-123j)
| (1.3009208583896173657 + 1.1565277259003468987e-420j)  +/-  (3.18e-125, 3.18e-125j)
| (-1.8355316042616288923 - 7.4231464479283865242e-437j)  +/-  (1.65e-124, 1.65e-124j)
-------------------------------------------------
The weights are:
| (0.0010654847962916520137 - 2.698839028046171093e-328j)  +/-  (2.82e-48, 2.33e-109j)
| (5.9054884788365959304e-09 - 4.0133070823815389597e-332j)  +/-  (6.58e-53, 5.43e-114j)
| (4.4165887693587052281e-12 + 9.7939853881323487217e-334j)  +/-  (3.46e-54, 2.85e-115j)
| (5.1798961441162062137e-05 - 4.3363139182357403334e-329j)  +/-  (6.75e-51, 5.57e-112j)
| (4.4165887693587052281e-12 + 2.735274110916971313e-333j)  +/-  (1.68e-55, 1.39e-116j)
| (0.010516517751941341968 + 6.4512905162800401562e-328j)  +/-  (2.64e-49, 2.18e-110j)
| (0.27278323465428787436 - 8.5037116658731719624e-328j)  +/-  (2.72e-48, 2.25e-109j)
| (0.16068530389351263536 - 4.3910550370536452516e-328j)  +/-  (1.12e-48, 9.22e-110j)
| (0.16068530389351263536 + 8.628664953095539522e-328j)  +/-  (1.2e-48, 9.94e-110j)
| (1.0215523976369812623e-06 + 2.9490439994296358757e-330j)  +/-  (1.25e-52, 1.03e-113j)
| (0.054896632480222629647 + 2.2016651513046238647e-328j)  +/-  (1.11e-49, 9.15e-111j)
| (1.0215523976369812623e-06 + 5.8756564106885402081e-331j)  +/-  (2.58e-54, 2.13e-115j)
| (0.27278323465428787436 + 6.8427691992977429497e-328j)  +/-  (6.14e-50, 5.02e-111j)
| (0.0010654847962916520137 + 2.3697150436214784996e-329j)  +/-  (4.24e-53, 3.48e-114j)
| (5.9054884788365959304e-09 - 1.4300983110757123586e-331j)  +/-  (1.58e-55, 1.32e-116j)
| (5.1798961441162062137e-05 - 4.663078452665251652e-330j)  +/-  (6.46e-54, 5.38e-115j)
| (0.054896632480222629647 - 7.4794519561634672869e-328j)  +/-  (4.86e-52, 4.99e-113j)
| (0.010516517751941341968 - 8.4161327496558053359e-329j)  +/-  (1.3e-52, 1e-113j)
