Starting with polynomial:
P : -1/6227020800*t^13 + 13/479001600*t^12 - 13/6652800*t^11 + 143/1814400*t^10 - 143/72576*t^9 + 143/4480*t^8 - 143/420*t^7 + 143/60*t^6 - 429/40*t^5 + 715/24*t^4 - 143/3*t^3 + 39*t^2 - 13*t + 1
Extension levels are: 13
-------------------------------------------------
Ending with final polynomial:
P : -1/6227020800*t^13 + 13/479001600*t^12 - 13/6652800*t^11 + 143/1814400*t^10 - 143/72576*t^9 + 143/4480*t^8 - 143/420*t^7 + 143/60*t^6 - 429/40*t^5 + 715/24*t^4 - 143/3*t^3 + 39*t^2 - 13*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: 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:   13 out of 13
Indefinite weights: 0 out of 13
Negative weights:   0 out of 13
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (40.723008669265579566 - 8.6899487484764054046e-292j)  +/-  (9.54e-122, 9.54e-122j)
| (11.861403588811242576 - 1.1800513701148412639e-294j)  +/-  (7.86e-121, 7.86e-121j)
| (4.2388459290170332794 - 1.9898378931039551553e-309j)  +/-  (1.44e-122, 1.44e-122j)
| (25.185263864677758084 + 4.4454204128737292754e-332j)  +/-  (1.06e-120, 1.06e-120j)
| (31.800386301947268371 - 3.6036863857329607252e-359j)  +/-  (4.43e-121, 4.43e-121j)
| (19.884635663880228333 - 3.7133469444457888922e-372j)  +/-  (1.52e-120, 1.52e-120j)
| (8.8150019411869780473 + 7.0521046616795520735e-386j)  +/-  (2.58e-121, 2.58e-121j)
| (15.510762037703752782 - 8.3348339160570799008e-397j)  +/-  (1.14e-120, 1.14e-120j)
| (6.2922562711400737804 + 7.7503982396963154249e-407j)  +/-  (6.67e-122, 6.67e-122j)
| (1.3985643364510197179 + 1.0564620189122913415e-409j)  +/-  (1.34e-124, 1.34e-124j)
| (0.56613189904040185341 + 1.5518862663882901258e-412j)  +/-  (6.21e-126, 6.21e-126j)
| (2.6165971084064112981 + 1.8680428274955992925e-412j)  +/-  (1.9e-123, 1.9e-123j)
| (0.10714238847225231065 - 7.424546585365883231e-418j)  +/-  (2.51e-127, 2.51e-127j)
-------------------------------------------------
The weights are:
| (2.245093203892758416e-17 + 1.7502251388200788565e-306j)  +/-  (1.15e-54, 1.16e-114j)
| (2.3515473981553238688e-05 + 1.2704622348848323584e-299j)  +/-  (6.71e-49, 6.75e-109j)
| (0.026432754415561615778 - 7.2957309690583100159e-299j)  +/-  (9.6e-45, 9.65e-105j)
| (6.7708266922058988406e-11 + 5.1513181001686933168e-303j)  +/-  (1.17e-52, 1.18e-112j)
| (1.1599799599050760609e-13 - 1.6018612584717508158e-304j)  +/-  (7.8e-54, 7.84e-114j)
| (1.1088416257039806798e-08 - 9.725655785543651099e-302j)  +/-  (5.4e-52, 5.43e-112j)
| (0.00041188177047273477489 - 3.286275492962217309e-299j)  +/-  (4.39e-50, 4.41e-110j)
| (7.317311620249099104e-07 + 1.5339456458517459176e-300j)  +/-  (2.02e-51, 2.03e-111j)
| (0.0042203960402547527656 + 4.8615365885490172167e-299j)  +/-  (1.09e-49, 1.09e-109j)
| (0.25256242005765850236 - 9.4371509728708402102e-299j)  +/-  (5.24e-49, 5.11e-109j)
| (0.36568882290052194531 + 6.6923750969761723025e-299j)  +/-  (7.41e-49, 6.52e-109j)
| (0.10347075802418370511 + 9.3507886736860364721e-299j)  +/-  (2.75e-49, 2.81e-109j)
| (0.24718870842996262135 - 2.3001733562242677892e-299j)  +/-  (4.12e-49, 3.37e-109j)
Starting with polynomial:
P : -1/6227020800*t^13 + 13/479001600*t^12 - 13/6652800*t^11 + 143/1814400*t^10 - 143/72576*t^9 + 143/4480*t^8 - 143/420*t^7 + 143/60*t^6 - 429/40*t^5 + 715/24*t^4 - 143/3*t^3 + 39*t^2 - 13*t + 1
Extension levels are: 13
-------------------------------------------------
Ending with final polynomial:
P : -1/6227020800*t^13 + 13/479001600*t^12 - 13/6652800*t^11 + 143/1814400*t^10 - 143/72576*t^9 + 143/4480*t^8 - 143/420*t^7 + 143/60*t^6 - 429/40*t^5 + 715/24*t^4 - 143/3*t^3 + 39*t^2 - 13*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: 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:   13 out of 13
Indefinite weights: 0 out of 13
Negative weights:   0 out of 13
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (40.723008669265579566 - 8.6899487484764054046e-292j)  +/-  (9.54e-122, 9.54e-122j)
| (11.861403588811242576 - 1.1800513701148412639e-294j)  +/-  (7.86e-121, 7.86e-121j)
| (4.2388459290170332794 - 1.9898378931039551553e-309j)  +/-  (1.44e-122, 1.44e-122j)
| (25.185263864677758084 + 4.4454204128737292754e-332j)  +/-  (1.06e-120, 1.06e-120j)
| (31.800386301947268371 - 3.6036863857329607252e-359j)  +/-  (4.43e-121, 4.43e-121j)
| (19.884635663880228333 - 3.7133469444457888922e-372j)  +/-  (1.52e-120, 1.52e-120j)
| (8.8150019411869780473 + 7.0521046616795520735e-386j)  +/-  (2.58e-121, 2.58e-121j)
| (15.510762037703752782 - 8.3348339160570799008e-397j)  +/-  (1.14e-120, 1.14e-120j)
| (6.2922562711400737804 + 7.7503982396963154249e-407j)  +/-  (6.67e-122, 6.67e-122j)
| (1.3985643364510197179 + 1.0564620189122913415e-409j)  +/-  (1.34e-124, 1.34e-124j)
| (0.56613189904040185341 + 1.5518862663882901258e-412j)  +/-  (6.21e-126, 6.21e-126j)
| (2.6165971084064112981 + 1.8680428274955992925e-412j)  +/-  (1.9e-123, 1.9e-123j)
| (0.10714238847225231065 - 7.424546585365883231e-418j)  +/-  (2.51e-127, 2.51e-127j)
-------------------------------------------------
The weights are:
| (2.245093203892758416e-17 + 1.7502251388200788565e-306j)  +/-  (1.15e-54, 1.16e-114j)
| (2.3515473981553238688e-05 + 1.2704622348848323584e-299j)  +/-  (6.71e-49, 6.75e-109j)
| (0.026432754415561615778 - 7.2957309690583100159e-299j)  +/-  (9.6e-45, 9.65e-105j)
| (6.7708266922058988406e-11 + 5.1513181001686933168e-303j)  +/-  (1.17e-52, 1.18e-112j)
| (1.1599799599050760609e-13 - 1.6018612584717508158e-304j)  +/-  (7.8e-54, 7.84e-114j)
| (1.1088416257039806798e-08 - 9.725655785543651099e-302j)  +/-  (5.4e-52, 5.43e-112j)
| (0.00041188177047273477489 - 3.286275492962217309e-299j)  +/-  (4.39e-50, 4.41e-110j)
| (7.317311620249099104e-07 + 1.5339456458517459176e-300j)  +/-  (2.02e-51, 2.03e-111j)
| (0.0042203960402547527656 + 4.8615365885490172167e-299j)  +/-  (1.09e-49, 1.09e-109j)
| (0.25256242005765850236 - 9.4371509728708402102e-299j)  +/-  (5.24e-49, 5.11e-109j)
| (0.36568882290052194531 + 6.6923750969761723025e-299j)  +/-  (7.41e-49, 6.52e-109j)
| (0.10347075802418370511 + 9.3507886736860364721e-299j)  +/-  (2.75e-49, 2.81e-109j)
| (0.24718870842996262135 - 2.3001733562242677892e-299j)  +/-  (4.12e-49, 3.37e-109j)
