Starting with polynomial:
P : 1/6402373705728000*t^18 - 1/19760412672000*t^17 + 17/2324754432000*t^16 - 17/27243216000*t^15 + 17/484323840*t^14 - 17/12355200*t^13 + 221/5702400*t^12 - 221/277200*t^11 + 2431/201600*t^10 - 2431/18144*t^9 + 2431/2240*t^8 - 221/35*t^7 + 1547/60*t^6 - 357/5*t^5 + 255/2*t^4 - 136*t^3 + 153/2*t^2 - 18*t + 1
Extension levels are: 18
-------------------------------------------------
Ending with final polynomial:
P : 1/6402373705728000*t^18 - 1/19760412672000*t^17 + 17/2324754432000*t^16 - 17/27243216000*t^15 + 17/484323840*t^14 - 17/12355200*t^13 + 221/5702400*t^12 - 221/277200*t^11 + 2431/201600*t^10 - 2431/18144*t^9 + 2431/2240*t^8 - 221/35*t^7 + 1547/60*t^6 - 357/5*t^5 + 255/2*t^4 - 136*t^3 + 153/2*t^2 - 18*t + 1
-------------------------------------------------
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:   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:
| (48.833922716086522749 + 2.9039430863598204452e-358j)  +/-  (3.32e-119, 3.32e-119j)
| (34.627927065660172145 - 1.2575699519612326687e-361j)  +/-  (2.83e-118, 2.83e-118j)
| (41.041816772808758139 - 1.4486870509824042051e-368j)  +/-  (1.31e-118, 1.31e-118j)
| (13.513656207555089819 - 1.4575473928920166944e-385j)  +/-  (7.42e-119, 7.42e-119j)
| (16.689306281930105938 + 8.5716474475179144604e-408j)  +/-  (1.78e-118, 1.78e-118j)
| (20.310767626267742856 - 1.4909339238557159955e-423j)  +/-  (2.86e-118, 2.86e-118j)
| (59.090546435901250704 + 1.7454926995564579691e-434j)  +/-  (3.82e-120, 3.82e-120j)
| (29.168208662579616131 + 8.4733310760095631642e-433j)  +/-  (3.84e-118, 3.84e-118j)
| (3.0543531132026597512 - 3.597408036238778339e-437j)  +/-  (3.37e-122, 3.37e-122j)
| (4.5042055388898928263 + 2.2813846999389323737e-438j)  +/-  (2.72e-121, 2.72e-121j)
| (1.8948885099697609143 + 8.6969333885402094875e-447j)  +/-  (3.24e-123, 3.24e-123j)
| (10.737990047757609335 + 4.5944647875042872154e-446j)  +/-  (3.24e-119, 3.24e-119j)
| (6.2567250739491114527 - 8.6624587612782747126e-456j)  +/-  (1.76e-120, 1.76e-120j)
| (24.440681359283702766 + 2.8012471409727218317e-464j)  +/-  (4.16e-118, 4.16e-118j)
| (0.078169166669705471299 + 1.7356681465965111707e-476j)  +/-  (1.76e-127, 1.76e-127j)
| (0.41249008525912929104 + 6.0586828459667710353e-475j)  +/-  (5.27e-126, 5.27e-126j)
| (1.0165201796235396892 + 4.1762350927476165109e-474j)  +/-  (1.76e-124, 1.76e-124j)
| (8.3278251566056300217 + 4.7876336210755733913e-475j)  +/-  (9.49e-120, 9.49e-120j)
-------------------------------------------------
The weights are:
| (5.4053984516310536436e-21 - 8.2550264539400632618e-379j)  +/-  (3.88e-50, 5.3e-108j)
| (5.3866647483783088761e-15 + 2.3603972612086680186e-376j)  +/-  (4.66e-48, 6.38e-106j)
| (1.0498659780357034088e-17 + 1.3215102224173493454e-377j)  +/-  (4.66e-49, 6.37e-107j)
| (4.0153078837011575586e-06 + 8.9978100547120352923e-374j)  +/-  (1.94e-43, 2.65e-101j)
| (1.9146698566756749797e-07 - 1.3603297859086041218e-374j)  +/-  (9.79e-45, 1.34e-102j)
| (5.8360952686315941292e-09 - 8.3975200719890254668e-376j)  +/-  (4.31e-46, 5.89e-104j)
| (2.6916532692010286271e-25 - 9.3226139820578018997e-382j)  +/-  (8.95e-54, 1.22e-111j)
| (1.0890987138888338556e-12 - 7.4355888504927113515e-376j)  +/-  (2.79e-48, 3.81e-106j)
| (0.061434917860961652708 - 7.3902269343606949233e-372j)  +/-  (4.58e-41, 6.27e-99j)
| (0.017687213080772931277 + 4.7565932302460663497e-372j)  +/-  (1.59e-42, 2.17e-100j)
| (0.15297974746807490655 + 9.245262061510016997e-372j)  +/-  (1.49e-40, 2.04e-98j)
| (5.6169650512142311382e-05 - 3.5717300126619548079e-373j)  +/-  (2.73e-45, 3.73e-103j)
| (0.003660179767759917798 - 2.4928201245463579694e-372j)  +/-  (2.61e-44, 3.57e-102j)
| (1.0717112669553901277e-10 + 1.4697093076231370936e-375j)  +/-  (2.05e-48, 2.81e-106j)
| (0.18558860314691880562 - 2.0796121111141287183e-372j)  +/-  (3.18e-43, 4.41e-101j)
| (0.31018176637022529365 + 6.1720416461518757195e-372j)  +/-  (2.37e-43, 3.29e-101j)
| (0.26786656714853635482 - 8.9899370371018019067e-372j)  +/-  (1.81e-43, 2.5e-101j)
| (0.00054062278700773532313 + 1.0593626409843724091e-372j)  +/-  (4.11e-45, 5.62e-103j)
Starting with polynomial:
P : 1/6402373705728000*t^18 - 1/19760412672000*t^17 + 17/2324754432000*t^16 - 17/27243216000*t^15 + 17/484323840*t^14 - 17/12355200*t^13 + 221/5702400*t^12 - 221/277200*t^11 + 2431/201600*t^10 - 2431/18144*t^9 + 2431/2240*t^8 - 221/35*t^7 + 1547/60*t^6 - 357/5*t^5 + 255/2*t^4 - 136*t^3 + 153/2*t^2 - 18*t + 1
Extension levels are: 18
-------------------------------------------------
Ending with final polynomial:
P : 1/6402373705728000*t^18 - 1/19760412672000*t^17 + 17/2324754432000*t^16 - 17/27243216000*t^15 + 17/484323840*t^14 - 17/12355200*t^13 + 221/5702400*t^12 - 221/277200*t^11 + 2431/201600*t^10 - 2431/18144*t^9 + 2431/2240*t^8 - 221/35*t^7 + 1547/60*t^6 - 357/5*t^5 + 255/2*t^4 - 136*t^3 + 153/2*t^2 - 18*t + 1
-------------------------------------------------
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:   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:
| (48.833922716086522749 + 2.9039430863598204452e-358j)  +/-  (3.32e-119, 3.32e-119j)
| (34.627927065660172145 - 1.2575699519612326687e-361j)  +/-  (2.83e-118, 2.83e-118j)
| (41.041816772808758139 - 1.4486870509824042051e-368j)  +/-  (1.31e-118, 1.31e-118j)
| (13.513656207555089819 - 1.4575473928920166944e-385j)  +/-  (7.42e-119, 7.42e-119j)
| (16.689306281930105938 + 8.5716474475179144604e-408j)  +/-  (1.78e-118, 1.78e-118j)
| (20.310767626267742856 - 1.4909339238557159955e-423j)  +/-  (2.86e-118, 2.86e-118j)
| (59.090546435901250704 + 1.7454926995564579691e-434j)  +/-  (3.82e-120, 3.82e-120j)
| (29.168208662579616131 + 8.4733310760095631642e-433j)  +/-  (3.84e-118, 3.84e-118j)
| (3.0543531132026597512 - 3.597408036238778339e-437j)  +/-  (3.37e-122, 3.37e-122j)
| (4.5042055388898928263 + 2.2813846999389323737e-438j)  +/-  (2.72e-121, 2.72e-121j)
| (1.8948885099697609143 + 8.6969333885402094875e-447j)  +/-  (3.24e-123, 3.24e-123j)
| (10.737990047757609335 + 4.5944647875042872154e-446j)  +/-  (3.24e-119, 3.24e-119j)
| (6.2567250739491114527 - 8.6624587612782747126e-456j)  +/-  (1.76e-120, 1.76e-120j)
| (24.440681359283702766 + 2.8012471409727218317e-464j)  +/-  (4.16e-118, 4.16e-118j)
| (0.078169166669705471299 + 1.7356681465965111707e-476j)  +/-  (1.76e-127, 1.76e-127j)
| (0.41249008525912929104 + 6.0586828459667710353e-475j)  +/-  (5.27e-126, 5.27e-126j)
| (1.0165201796235396892 + 4.1762350927476165109e-474j)  +/-  (1.76e-124, 1.76e-124j)
| (8.3278251566056300217 + 4.7876336210755733913e-475j)  +/-  (9.49e-120, 9.49e-120j)
-------------------------------------------------
The weights are:
| (5.4053984516310536436e-21 - 8.2550264539400632618e-379j)  +/-  (3.88e-50, 5.3e-108j)
| (5.3866647483783088761e-15 + 2.3603972612086680186e-376j)  +/-  (4.66e-48, 6.38e-106j)
| (1.0498659780357034088e-17 + 1.3215102224173493454e-377j)  +/-  (4.66e-49, 6.37e-107j)
| (4.0153078837011575586e-06 + 8.9978100547120352923e-374j)  +/-  (1.94e-43, 2.65e-101j)
| (1.9146698566756749797e-07 - 1.3603297859086041218e-374j)  +/-  (9.79e-45, 1.34e-102j)
| (5.8360952686315941292e-09 - 8.3975200719890254668e-376j)  +/-  (4.31e-46, 5.89e-104j)
| (2.6916532692010286271e-25 - 9.3226139820578018997e-382j)  +/-  (8.95e-54, 1.22e-111j)
| (1.0890987138888338556e-12 - 7.4355888504927113515e-376j)  +/-  (2.79e-48, 3.81e-106j)
| (0.061434917860961652708 - 7.3902269343606949233e-372j)  +/-  (4.58e-41, 6.27e-99j)
| (0.017687213080772931277 + 4.7565932302460663497e-372j)  +/-  (1.59e-42, 2.17e-100j)
| (0.15297974746807490655 + 9.245262061510016997e-372j)  +/-  (1.49e-40, 2.04e-98j)
| (5.6169650512142311382e-05 - 3.5717300126619548079e-373j)  +/-  (2.73e-45, 3.73e-103j)
| (0.003660179767759917798 - 2.4928201245463579694e-372j)  +/-  (2.61e-44, 3.57e-102j)
| (1.0717112669553901277e-10 + 1.4697093076231370936e-375j)  +/-  (2.05e-48, 2.81e-106j)
| (0.18558860314691880562 - 2.0796121111141287183e-372j)  +/-  (3.18e-43, 4.41e-101j)
| (0.31018176637022529365 + 6.1720416461518757195e-372j)  +/-  (2.37e-43, 3.29e-101j)
| (0.26786656714853635482 - 8.9899370371018019067e-372j)  +/-  (1.81e-43, 2.5e-101j)
| (0.00054062278700773532313 + 1.0593626409843724091e-372j)  +/-  (4.11e-45, 5.62e-103j)
