Starting with polynomial:
P : -1/1307674368000*t^15 + 1/5811886080*t^14 - 1/59304960*t^13 + 13/13685760*t^12 - 13/380160*t^11 + 143/172800*t^10 - 143/10368*t^9 + 143/896*t^8 - 143/112*t^7 + 1001/144*t^6 - 1001/40*t^5 + 455/8*t^4 - 455/6*t^3 + 105/2*t^2 - 15*t + 1
Extension levels are: 15
-------------------------------------------------
Ending with final polynomial:
P : -1/1307674368000*t^15 + 1/5811886080*t^14 - 1/59304960*t^13 + 13/13685760*t^12 - 13/380160*t^11 + 143/172800*t^10 - 143/10368*t^9 + 143/896*t^8 - 143/112*t^7 + 1001/144*t^6 - 1001/40*t^5 + 455/8*t^4 - 455/6*t^3 + 105/2*t^2 - 15*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:   15 out of 15
Indefinite weights: 0 out of 15
Negative weights:   0 out of 15
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (48.026085572685794347 - 1.4970335981923023063e-287j)  +/-  (3.58e-121, 3.58e-121j)
| (16.654407708329957823 - 2.6066793020193265044e-289j)  +/-  (8.73e-120, 8.73e-120j)
| (38.530683306486009416 + 1.2194545066989419675e-295j)  +/-  (2.66e-120, 2.66e-120j)
| (31.407519169753938515 - 3.1089725051458776845e-312j)  +/-  (7.32e-120, 7.32e-120j)
| (25.623894226728780145 + 1.2442258176810398596e-334j)  +/-  (1.16e-119, 1.16e-119j)
| (2.2699495262037432025 + 5.8944075902335140916e-354j)  +/-  (2.23e-123, 2.23e-123j)
| (20.776478899448766773 + 7.3773211374625228222e-365j)  +/-  (1.27e-119, 1.27e-119j)
| (13.130282482175723564 + 7.4910413078948772245e-382j)  +/-  (4.43e-120, 4.43e-120j)
| (0.49269174030188390896 + 6.5819602633632168346e-391j)  +/-  (7.2e-126, 7.2e-126j)
| (0.093307812017281804763 - 1.3133230997501176084e-392j)  +/-  (2.51e-127, 2.51e-127j)
| (1.2155954120709494637 + 1.5999626036359089864e-392j)  +/-  (1.96e-124, 1.96e-124j)
| (5.4253366274135531653 - 1.5247732570340279019e-388j)  +/-  (1.19e-121, 1.19e-121j)
| (10.120228568019112735 + 7.0352927590254055324e-394j)  +/-  (1.83e-120, 1.83e-120j)
| (7.5659162266130678605 - 1.7896973438258202867e-403j)  +/-  (6.48e-121, 6.48e-121j)
| (3.6676227217514372772 - 6.9503452136913248115e-408j)  +/-  (1.67e-122, 1.67e-122j)
-------------------------------------------------
The weights are:
| (1.600594906211133231e-20 + 8.4240036656413928736e-304j)  +/-  (1.1e-52, 1.47e-111j)
| (2.2263169070962726303e-07 + 2.7274184467438892023e-296j)  +/-  (5.1e-47, 6.82e-106j)
| (1.4830270511133013355e-16 - 1.0414299870779126495e-301j)  +/-  (1.3e-51, 1.74e-110j)
| (1.4565152640731264063e-13 + 4.3692883734285123824e-300j)  +/-  (9.15e-51, 1.22e-109j)
| (3.9218972670410892904e-11 - 1.0651754984515570539e-298j)  +/-  (4.21e-50, 5.63e-109j)
| (0.12642581810593053584 + 1.1224002121305916265e-294j)  +/-  (1.15e-42, 1.53e-101j)
| (4.2274303849793650074e-09 + 2.1668348565752938698e-297j)  +/-  (1.89e-49, 2.53e-108j)
| (6.4599267620229009247e-06 - 7.8761794334847908329e-296j)  +/-  (1.31e-48, 1.76e-107j)
| (0.34221017792288332964 + 7.6570554546265473786e-295j)  +/-  (2.49e-43, 3.33e-102j)
| (0.21823488594008688986 - 2.596851126709115857e-295j)  +/-  (1.64e-43, 2.2e-102j)
| (0.26302757794168009741 - 1.1038154858590639089e-294j)  +/-  (8.02e-44, 1.07e-102j)
| (0.0085638778036118383639 + 5.785224364360164328e-295j)  +/-  (2.41e-47, 3.22e-106j)
| (0.00011167439234425194199 + 1.5505891599386575644e-295j)  +/-  (1.14e-48, 1.53e-107j)
| (0.0012124361472142520762 - 3.1760257328534199806e-295j)  +/-  (2.67e-48, 3.57e-107j)
| (0.040206864921000914842 - 8.9116091163490727014e-295j)  +/-  (1.98e-47, 2.63e-106j)
Starting with polynomial:
P : -1/1307674368000*t^15 + 1/5811886080*t^14 - 1/59304960*t^13 + 13/13685760*t^12 - 13/380160*t^11 + 143/172800*t^10 - 143/10368*t^9 + 143/896*t^8 - 143/112*t^7 + 1001/144*t^6 - 1001/40*t^5 + 455/8*t^4 - 455/6*t^3 + 105/2*t^2 - 15*t + 1
Extension levels are: 15
-------------------------------------------------
Ending with final polynomial:
P : -1/1307674368000*t^15 + 1/5811886080*t^14 - 1/59304960*t^13 + 13/13685760*t^12 - 13/380160*t^11 + 143/172800*t^10 - 143/10368*t^9 + 143/896*t^8 - 143/112*t^7 + 1001/144*t^6 - 1001/40*t^5 + 455/8*t^4 - 455/6*t^3 + 105/2*t^2 - 15*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:   15 out of 15
Indefinite weights: 0 out of 15
Negative weights:   0 out of 15
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (48.026085572685794347 - 1.4970335981923023063e-287j)  +/-  (3.58e-121, 3.58e-121j)
| (16.654407708329957823 - 2.6066793020193265044e-289j)  +/-  (8.73e-120, 8.73e-120j)
| (38.530683306486009416 + 1.2194545066989419675e-295j)  +/-  (2.66e-120, 2.66e-120j)
| (31.407519169753938515 - 3.1089725051458776845e-312j)  +/-  (7.32e-120, 7.32e-120j)
| (25.623894226728780145 + 1.2442258176810398596e-334j)  +/-  (1.16e-119, 1.16e-119j)
| (2.2699495262037432025 + 5.8944075902335140916e-354j)  +/-  (2.23e-123, 2.23e-123j)
| (20.776478899448766773 + 7.3773211374625228222e-365j)  +/-  (1.27e-119, 1.27e-119j)
| (13.130282482175723564 + 7.4910413078948772245e-382j)  +/-  (4.43e-120, 4.43e-120j)
| (0.49269174030188390896 + 6.5819602633632168346e-391j)  +/-  (7.2e-126, 7.2e-126j)
| (0.093307812017281804763 - 1.3133230997501176084e-392j)  +/-  (2.51e-127, 2.51e-127j)
| (1.2155954120709494637 + 1.5999626036359089864e-392j)  +/-  (1.96e-124, 1.96e-124j)
| (5.4253366274135531653 - 1.5247732570340279019e-388j)  +/-  (1.19e-121, 1.19e-121j)
| (10.120228568019112735 + 7.0352927590254055324e-394j)  +/-  (1.83e-120, 1.83e-120j)
| (7.5659162266130678605 - 1.7896973438258202867e-403j)  +/-  (6.48e-121, 6.48e-121j)
| (3.6676227217514372772 - 6.9503452136913248115e-408j)  +/-  (1.67e-122, 1.67e-122j)
-------------------------------------------------
The weights are:
| (1.600594906211133231e-20 + 8.4240036656413928736e-304j)  +/-  (1.1e-52, 1.47e-111j)
| (2.2263169070962726303e-07 + 2.7274184467438892023e-296j)  +/-  (5.1e-47, 6.82e-106j)
| (1.4830270511133013355e-16 - 1.0414299870779126495e-301j)  +/-  (1.3e-51, 1.74e-110j)
| (1.4565152640731264063e-13 + 4.3692883734285123824e-300j)  +/-  (9.15e-51, 1.22e-109j)
| (3.9218972670410892904e-11 - 1.0651754984515570539e-298j)  +/-  (4.21e-50, 5.63e-109j)
| (0.12642581810593053584 + 1.1224002121305916265e-294j)  +/-  (1.15e-42, 1.53e-101j)
| (4.2274303849793650074e-09 + 2.1668348565752938698e-297j)  +/-  (1.89e-49, 2.53e-108j)
| (6.4599267620229009247e-06 - 7.8761794334847908329e-296j)  +/-  (1.31e-48, 1.76e-107j)
| (0.34221017792288332964 + 7.6570554546265473786e-295j)  +/-  (2.49e-43, 3.33e-102j)
| (0.21823488594008688986 - 2.596851126709115857e-295j)  +/-  (1.64e-43, 2.2e-102j)
| (0.26302757794168009741 - 1.1038154858590639089e-294j)  +/-  (8.02e-44, 1.07e-102j)
| (0.0085638778036118383639 + 5.785224364360164328e-295j)  +/-  (2.41e-47, 3.22e-106j)
| (0.00011167439234425194199 + 1.5505891599386575644e-295j)  +/-  (1.14e-48, 1.53e-107j)
| (0.0012124361472142520762 - 3.1760257328534199806e-295j)  +/-  (2.67e-48, 3.57e-107j)
| (0.040206864921000914842 - 8.9116091163490727014e-295j)  +/-  (1.98e-47, 2.63e-106j)
