Starting with polynomial:
P : 1/403291461126605635584000000*t^26 - 1/596585001666576384000000*t^25 + 1/1909072005333044428800*t^24 - 1/9943083361109606400*t^23 + 23/1729231888888627200*t^22 - 23/17863965794304000*t^21 + 23/243047153664000*t^20 - 23/4253325189120*t^19 + 437/1790873763840*t^18 - 437/49746493440*t^17 + 7429/29262643200*t^16 - 7429/1257379200*t^15 + 7429/67060224*t^14 - 7429/4447872*t^13 + 96577/4790016*t^12 - 96577/498960*t^11 + 1062347/725760*t^10 - 312455/36288*t^9 + 312455/8064*t^8 - 16445/126*t^7 + 23023/72*t^6 - 3289/6*t^5 + 7475/12*t^4 - 1300/3*t^3 + 325/2*t^2 - 26*t + 1
Extension levels are: 26
-------------------------------------------------
Ending with final polynomial:
P : 1/403291461126605635584000000*t^26 - 1/596585001666576384000000*t^25 + 1/1909072005333044428800*t^24 - 1/9943083361109606400*t^23 + 23/1729231888888627200*t^22 - 23/17863965794304000*t^21 + 23/243047153664000*t^20 - 23/4253325189120*t^19 + 437/1790873763840*t^18 - 437/49746493440*t^17 + 7429/29262643200*t^16 - 7429/1257379200*t^15 + 7429/67060224*t^14 - 7429/4447872*t^13 + 96577/4790016*t^12 - 96577/498960*t^11 + 1062347/725760*t^10 - 312455/36288*t^9 + 312455/8064*t^8 - 16445/126*t^7 + 23023/72*t^6 - 3289/6*t^5 + 7475/12*t^4 - 1300/3*t^3 + 325/2*t^2 - 26*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: 0
  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:   26 out of 26
Indefinite weights: 0 out of 26
Negative weights:   0 out of 26
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (89.028402750410973338 - 8.0278159819953150493e-364j)  +/-  (1.04e-117, 1.04e-117j)
| (47.423899356281529263 - 5.3293485832600808708e-359j)  +/-  (2.28e-114, 2.28e-114j)
| (67.891479705451292612 - 2.1585936626021572227e-364j)  +/-  (1.2e-115, 1.2e-115j)
| (77.117999069332859717 - 8.7266267403517478148e-367j)  +/-  (1.78e-116, 1.78e-116j)
| (53.402185197253291638 + 6.1364151969964733013e-368j)  +/-  (1.16e-114, 1.16e-114j)
| (13.428509032459204123 - 2.0501785129349608266e-379j)  +/-  (3.77e-116, 3.77e-116j)
| (28.781646873450168932 - 6.6154886783852191719e-399j)  +/-  (2.6e-114, 2.6e-114j)
| (32.798673218409976318 + 8.4206455598563765106e-418j)  +/-  (3.75e-114, 3.75e-114j)
| (9.1158628972942147502 - 2.9984460288642026819e-425j)  +/-  (2.37e-117, 2.37e-117j)
| (4.3027708760403702811 - 2.492280046437720256e-432j)  +/-  (1.02e-119, 1.02e-119j)
| (7.2989099630701832033 - 1.1855739017251246081e-427j)  +/-  (4.27e-118, 4.27e-118j)
| (21.770774608541435713 - 3.1995663977336627024e-427j)  +/-  (8.73e-115, 8.73e-115j)
| (5.696818826169465931 - 2.3500331450108847636e-434j)  +/-  (6.74e-119, 6.74e-119j)
| (60.142775690076896774 - 7.9993271331747292718e-429j)  +/-  (5e-115, 5e-115j)
| (37.20698262961282715 + 2.7929542638229745258e-433j)  +/-  (4.34e-114, 4.34e-114j)
| (11.155824954937510505 - 9.4082114241969092969e-438j)  +/-  (1.04e-116, 1.04e-116j)
| (0.28770797910612360712 + 3.9159543456186282932e-454j)  +/-  (9.57e-126, 9.57e-126j)
| (18.720686145460284721 + 9.5821690398391935457e-446j)  +/-  (3.63e-115, 3.63e-115j)
| (42.05861592443453381 - 3.728375656601200982e-460j)  +/-  (3.64e-114, 3.64e-114j)
| (0.054564482717908535954 - 5.6749644436571273059e-483j)  +/-  (2.63e-127, 2.63e-127j)
| (2.1171209446284692589 + 1.8861815841713276457e-477j)  +/-  (9.97e-122, 9.97e-122j)
| (1.3170813660438441397 - 2.5376770430288743316e-478j)  +/-  (6.31e-123, 6.31e-123j)
| (3.1110938788779341219 + 1.3822051390590142862e-476j)  +/-  (1.09e-120, 1.09e-120j)
| (25.11609366231673771 + 5.6603815994944055358e-470j)  +/-  (1.7e-114, 1.7e-114j)
| (15.945503948143318926 + 2.2966127788394296976e-474j)  +/-  (1.18e-115, 1.18e-115j)
| (0.70801601947864492234 - 3.9009747937268380703e-487j)  +/-  (3.28e-124, 3.28e-124j)
-------------------------------------------------
The weights are:
| (3.0837522695855770801e-38 + 3.6895384031119981721e-389j)  +/-  (1.07e-40, 1.6e-96j)
| (1.4330643640727287853e-20 + 3.7381281372728687703e-379j)  +/-  (1.82e-34, 2.7e-90j)
| (2.7432209871353264244e-29 + 1.9533491458226545078e-384j)  +/-  (2.88e-38, 4.28e-94j)
| (3.3002304781520748807e-33 - 1.5739400799943849956e-386j)  +/-  (1.36e-39, 2.03e-95j)
| (4.0648446941130335834e-23 + 7.2199329156197083088e-381j)  +/-  (3.68e-36, 5.48e-92j)
| (3.5234400910243700392e-06 - 1.8745009176402569651e-373j)  +/-  (2.34e-26, 3.49e-82j)
| (1.213689159837205248e-12 + 2.9371188253382002047e-376j)  +/-  (1.98e-32, 2.95e-88j)
| (2.396074223261299442e-14 - 5.6154430515510870138e-377j)  +/-  (2.23e-33, 3.31e-89j)
| (0.00021179115830036047736 - 1.0626035409476641174e-372j)  +/-  (4.42e-25, 6.58e-81j)
| (0.017482137978489427639 + 5.892364575286937518e-372j)  +/-  (7.21e-21, 1.07e-76j)
| (0.0011552691607496097713 + 2.1201374058649951808e-372j)  +/-  (5.92e-24, 8.8e-80j)
| (1.1204781176704784064e-09 + 5.6403584302319516166e-375j)  +/-  (1.29e-31, 1.92e-87j)
| (0.0050249838368313122919 - 3.756417752162619501e-372j)  +/-  (2.79e-23, 4.15e-79j)
| (5.4595133227988885171e-26 - 1.3198613155404178806e-382j)  +/-  (3.83e-39, 5.7e-95j)
| (3.2052185598316264353e-16 + 9.9021509444169415449e-378j)  +/-  (2.27e-35, 3.38e-91j)
| (3.0792526041715131296e-05 + 4.7343171961217861504e-373j)  +/-  (1.04e-28, 1.55e-84j)
| (0.24486736801629243536 - 5.2166928519887181481e-372j)  +/-  (1.27e-25, 1.89e-81j)
| (2.1554568144037104231e-08 - 2.0502573282764324477e-374j)  +/-  (7.24e-32, 1.08e-87j)
| (2.7624941506079368186e-18 - 1.8612034473073868218e-378j)  +/-  (1.38e-36, 2.05e-92j)
| (0.13261688414760198021 + 1.6636635062085370645e-372j)  +/-  (8.18e-26, 1.22e-81j)
| (0.10791234164258807282 + 9.7735773869789093876e-372j)  +/-  (5.02e-27, 7.47e-83j)
| (0.1886459836417598942 - 1.0015514848955610485e-371j)  +/-  (8.16e-27, 1.21e-82j)
| (0.048656565448921797179 - 8.1340414730776359583e-372j)  +/-  (1.71e-27, 2.54e-83j)
| (4.3290024051368852727e-11 - 1.3693720307577744181e-375j)  +/-  (1.45e-33, 2.16e-89j)
| (3.1415563253592458953e-07 + 6.5869946300497509563e-374j)  +/-  (1.48e-31, 2.21e-87j)
| (0.25339202212712557568 + 8.3996616262252952011e-372j)  +/-  (2.82e-28, 4.18e-84j)
Starting with polynomial:
P : 1/403291461126605635584000000*t^26 - 1/596585001666576384000000*t^25 + 1/1909072005333044428800*t^24 - 1/9943083361109606400*t^23 + 23/1729231888888627200*t^22 - 23/17863965794304000*t^21 + 23/243047153664000*t^20 - 23/4253325189120*t^19 + 437/1790873763840*t^18 - 437/49746493440*t^17 + 7429/29262643200*t^16 - 7429/1257379200*t^15 + 7429/67060224*t^14 - 7429/4447872*t^13 + 96577/4790016*t^12 - 96577/498960*t^11 + 1062347/725760*t^10 - 312455/36288*t^9 + 312455/8064*t^8 - 16445/126*t^7 + 23023/72*t^6 - 3289/6*t^5 + 7475/12*t^4 - 1300/3*t^3 + 325/2*t^2 - 26*t + 1
Extension levels are: 26
-------------------------------------------------
Ending with final polynomial:
P : 1/403291461126605635584000000*t^26 - 1/596585001666576384000000*t^25 + 1/1909072005333044428800*t^24 - 1/9943083361109606400*t^23 + 23/1729231888888627200*t^22 - 23/17863965794304000*t^21 + 23/243047153664000*t^20 - 23/4253325189120*t^19 + 437/1790873763840*t^18 - 437/49746493440*t^17 + 7429/29262643200*t^16 - 7429/1257379200*t^15 + 7429/67060224*t^14 - 7429/4447872*t^13 + 96577/4790016*t^12 - 96577/498960*t^11 + 1062347/725760*t^10 - 312455/36288*t^9 + 312455/8064*t^8 - 16445/126*t^7 + 23023/72*t^6 - 3289/6*t^5 + 7475/12*t^4 - 1300/3*t^3 + 325/2*t^2 - 26*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: 0
  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:   26 out of 26
Indefinite weights: 0 out of 26
Negative weights:   0 out of 26
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (89.028402750410973338 - 8.0278159819953150493e-364j)  +/-  (1.04e-117, 1.04e-117j)
| (47.423899356281529263 - 5.3293485832600808708e-359j)  +/-  (2.28e-114, 2.28e-114j)
| (67.891479705451292612 - 2.1585936626021572227e-364j)  +/-  (1.2e-115, 1.2e-115j)
| (77.117999069332859717 - 8.7266267403517478148e-367j)  +/-  (1.78e-116, 1.78e-116j)
| (53.402185197253291638 + 6.1364151969964733013e-368j)  +/-  (1.16e-114, 1.16e-114j)
| (13.428509032459204123 - 2.0501785129349608266e-379j)  +/-  (3.77e-116, 3.77e-116j)
| (28.781646873450168932 - 6.6154886783852191719e-399j)  +/-  (2.6e-114, 2.6e-114j)
| (32.798673218409976318 + 8.4206455598563765106e-418j)  +/-  (3.75e-114, 3.75e-114j)
| (9.1158628972942147502 - 2.9984460288642026819e-425j)  +/-  (2.37e-117, 2.37e-117j)
| (4.3027708760403702811 - 2.492280046437720256e-432j)  +/-  (1.02e-119, 1.02e-119j)
| (7.2989099630701832033 - 1.1855739017251246081e-427j)  +/-  (4.27e-118, 4.27e-118j)
| (21.770774608541435713 - 3.1995663977336627024e-427j)  +/-  (8.73e-115, 8.73e-115j)
| (5.696818826169465931 - 2.3500331450108847636e-434j)  +/-  (6.74e-119, 6.74e-119j)
| (60.142775690076896774 - 7.9993271331747292718e-429j)  +/-  (5e-115, 5e-115j)
| (37.20698262961282715 + 2.7929542638229745258e-433j)  +/-  (4.34e-114, 4.34e-114j)
| (11.155824954937510505 - 9.4082114241969092969e-438j)  +/-  (1.04e-116, 1.04e-116j)
| (0.28770797910612360712 + 3.9159543456186282932e-454j)  +/-  (9.57e-126, 9.57e-126j)
| (18.720686145460284721 + 9.5821690398391935457e-446j)  +/-  (3.63e-115, 3.63e-115j)
| (42.05861592443453381 - 3.728375656601200982e-460j)  +/-  (3.64e-114, 3.64e-114j)
| (0.054564482717908535954 - 5.6749644436571273059e-483j)  +/-  (2.63e-127, 2.63e-127j)
| (2.1171209446284692589 + 1.8861815841713276457e-477j)  +/-  (9.97e-122, 9.97e-122j)
| (1.3170813660438441397 - 2.5376770430288743316e-478j)  +/-  (6.31e-123, 6.31e-123j)
| (3.1110938788779341219 + 1.3822051390590142862e-476j)  +/-  (1.09e-120, 1.09e-120j)
| (25.11609366231673771 + 5.6603815994944055358e-470j)  +/-  (1.7e-114, 1.7e-114j)
| (15.945503948143318926 + 2.2966127788394296976e-474j)  +/-  (1.18e-115, 1.18e-115j)
| (0.70801601947864492234 - 3.9009747937268380703e-487j)  +/-  (3.28e-124, 3.28e-124j)
-------------------------------------------------
The weights are:
| (3.0837522695855770801e-38 + 3.6895384031119981721e-389j)  +/-  (1.07e-40, 1.6e-96j)
| (1.4330643640727287853e-20 + 3.7381281372728687703e-379j)  +/-  (1.82e-34, 2.7e-90j)
| (2.7432209871353264244e-29 + 1.9533491458226545078e-384j)  +/-  (2.88e-38, 4.28e-94j)
| (3.3002304781520748807e-33 - 1.5739400799943849956e-386j)  +/-  (1.36e-39, 2.03e-95j)
| (4.0648446941130335834e-23 + 7.2199329156197083088e-381j)  +/-  (3.68e-36, 5.48e-92j)
| (3.5234400910243700392e-06 - 1.8745009176402569651e-373j)  +/-  (2.34e-26, 3.49e-82j)
| (1.213689159837205248e-12 + 2.9371188253382002047e-376j)  +/-  (1.98e-32, 2.95e-88j)
| (2.396074223261299442e-14 - 5.6154430515510870138e-377j)  +/-  (2.23e-33, 3.31e-89j)
| (0.00021179115830036047736 - 1.0626035409476641174e-372j)  +/-  (4.42e-25, 6.58e-81j)
| (0.017482137978489427639 + 5.892364575286937518e-372j)  +/-  (7.21e-21, 1.07e-76j)
| (0.0011552691607496097713 + 2.1201374058649951808e-372j)  +/-  (5.92e-24, 8.8e-80j)
| (1.1204781176704784064e-09 + 5.6403584302319516166e-375j)  +/-  (1.29e-31, 1.92e-87j)
| (0.0050249838368313122919 - 3.756417752162619501e-372j)  +/-  (2.79e-23, 4.15e-79j)
| (5.4595133227988885171e-26 - 1.3198613155404178806e-382j)  +/-  (3.83e-39, 5.7e-95j)
| (3.2052185598316264353e-16 + 9.9021509444169415449e-378j)  +/-  (2.27e-35, 3.38e-91j)
| (3.0792526041715131296e-05 + 4.7343171961217861504e-373j)  +/-  (1.04e-28, 1.55e-84j)
| (0.24486736801629243536 - 5.2166928519887181481e-372j)  +/-  (1.27e-25, 1.89e-81j)
| (2.1554568144037104231e-08 - 2.0502573282764324477e-374j)  +/-  (7.24e-32, 1.08e-87j)
| (2.7624941506079368186e-18 - 1.8612034473073868218e-378j)  +/-  (1.38e-36, 2.05e-92j)
| (0.13261688414760198021 + 1.6636635062085370645e-372j)  +/-  (8.18e-26, 1.22e-81j)
| (0.10791234164258807282 + 9.7735773869789093876e-372j)  +/-  (5.02e-27, 7.47e-83j)
| (0.1886459836417598942 - 1.0015514848955610485e-371j)  +/-  (8.16e-27, 1.21e-82j)
| (0.048656565448921797179 - 8.1340414730776359583e-372j)  +/-  (1.71e-27, 2.54e-83j)
| (4.3290024051368852727e-11 - 1.3693720307577744181e-375j)  +/-  (1.45e-33, 2.16e-89j)
| (3.1415563253592458953e-07 + 6.5869946300497509563e-374j)  +/-  (1.48e-31, 2.21e-87j)
| (0.25339202212712557568 + 8.3996616262252952011e-372j)  +/-  (2.82e-28, 4.18e-84j)
