Starting with polynomial:
P : -t+1
Extension levels are: 1 15
-------------------------------------------------
Trying to find an order 15 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^16 + 108040381198079/441823808804*t^15 - 11584560076012575/441823808804*t^14 + 51401360580459225/31558843486*t^13 - 2059325874061658475/31558843486*t^12 + 28035997395824371590/15779421743*t^11 - 532756994470744032990/15779421743*t^10 + 7144591068462331984500/15779421743*t^9 - 67618475293272460771500/15779421743*t^8 + 447274425019475983644000/15779421743*t^7 - 2027161159416393117717600/15779421743*t^6 + 6096035900413158269169600/15779421743*t^5 - 11578596225397600318920000/15779421743*t^4 + 12870298656329584710240000/15779421743*t^3 - 7386439720460815254240000/15779421743*t^2 + 1733097605065458375744000/15779421743*t - 93529871958835376064000/15779421743
-------------------------------------------------
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:   16 out of 16
Indefinite weights: 0 out of 16
Negative weights:   0 out of 16
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (50.175439426888091357 + 3.8206568759301255073e-275j)  +/-  (5.85e-121, 5.85e-121j)
| (40.544903026196679487 - 7.9694671622841584867e-283j)  +/-  (4.89e-120, 4.89e-120j)
| (27.405421656957999983 - 2.3434682494934811545e-294j)  +/-  (2.25e-119, 2.25e-119j)
| (33.302284652844617466 - 1.0687307876642401643e-306j)  +/-  (1.28e-119, 1.28e-119j)
| (1 + 5.5338997733635595388e-310j)  +/-  (1.95e-124, 1.95e-124j)
| (11.455479249607491256 + 1.436238951147586879e-318j)  +/-  (6.3e-120, 6.3e-120j)
| (6.5212593219219463999 + 8.6641466447712658805e-339j)  +/-  (5.9e-121, 5.9e-121j)
| (22.447252488141452299 + 4.4442367976703199609e-357j)  +/-  (2.91e-119, 2.91e-119j)
| (8.7839377426673399853 + 1.6375524648929703597e-365j)  +/-  (2.04e-120, 2.04e-120j)
| (4.6348059430383635197 - 3.9752970887359814658e-369j)  +/-  (1.19e-121, 1.19e-121j)
| (3.099198948645371237 + 1.2062301108510105866e-370j)  +/-  (1.73e-122, 1.73e-122j)
| (1.8937211174545272055 + 1.2314601905045634447e-374j)  +/-  (2.18e-123, 2.18e-123j)
| (18.214819746057093287 - 1.8041002548638776659e-383j)  +/-  (2.2e-119, 2.2e-119j)
| (14.579261916739302577 - 4.6292078892597397269e-393j)  +/-  (1.4e-119, 1.4e-119j)
| (0.075022899952326487192 + 7.2997532758341368935e-398j)  +/-  (3.48e-127, 3.48e-127j)
| (0.39991971777630105096 - 3.991023365645516904e-398j)  +/-  (1.03e-125, 1.03e-125j)
-------------------------------------------------
The weights are:
| (1.8900560821926255715e-21 - 3.6081452904153113897e-296j)  +/-  (9.91e-53, 2.48e-112j)
| (2.009451945838232594e-17 + 7.7001147077207566064e-295j)  +/-  (1.74e-51, 4.37e-111j)
| (6.7435172895413100232e-12 + 1.8677725805071081933e-292j)  +/-  (6.4e-50, 1.6e-109j)
| (2.229691990931681166e-14 - 1.4572808272703819055e-293j)  +/-  (9.3e-51, 2.33e-110j)
| (0.27363777839855892731 + 1.0762238849925049617e-287j)  +/-  (3.58e-44, 8.98e-104j)
| (3.0601530846741642672e-05 + 2.2458324447579147971e-289j)  +/-  (5.64e-47, 1.41e-106j)
| (0.0030464011980415919576 + 1.8930041821304509828e-288j)  +/-  (4.24e-45, 1.06e-104j)
| (8.1485473941431083572e-10 - 1.6747078256098704467e-291j)  +/-  (8.92e-50, 2.23e-109j)
| (0.00037694737507958990106 - 7.2263060501484055278e-289j)  +/-  (2.05e-46, 5.13e-106j)
| (0.016574139410252614752 - 4.0582694601591143937e-288j)  +/-  (3.58e-45, 8.97e-105j)
| (0.061647885465251068804 + 7.0971517811105087022e-288j)  +/-  (9.18e-45, 2.3e-104j)
| (0.15752740282242859315 - 9.9610825530020173385e-288j)  +/-  (1.75e-44, 4.38e-104j)
| (4.8123492718734359437e-08 + 1.1070971952804171216e-290j)  +/-  (1.13e-49, 2.82e-109j)
| (1.5692157133756828195e-06 - 5.6138957151141928513e-290j)  +/-  (7.59e-49, 1.9e-108j)
| (0.17914392844061530947 + 2.8629574661148411698e-288j)  +/-  (3.59e-46, 9.05e-106j)
| (0.30801329719809889488 - 8.0513831509365179134e-288j)  +/-  (7.28e-46, 1.81e-105j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 15
-------------------------------------------------
Trying to find an order 15 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^16 + 108040381198079/441823808804*t^15 - 11584560076012575/441823808804*t^14 + 51401360580459225/31558843486*t^13 - 2059325874061658475/31558843486*t^12 + 28035997395824371590/15779421743*t^11 - 532756994470744032990/15779421743*t^10 + 7144591068462331984500/15779421743*t^9 - 67618475293272460771500/15779421743*t^8 + 447274425019475983644000/15779421743*t^7 - 2027161159416393117717600/15779421743*t^6 + 6096035900413158269169600/15779421743*t^5 - 11578596225397600318920000/15779421743*t^4 + 12870298656329584710240000/15779421743*t^3 - 7386439720460815254240000/15779421743*t^2 + 1733097605065458375744000/15779421743*t - 93529871958835376064000/15779421743
-------------------------------------------------
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:   16 out of 16
Indefinite weights: 0 out of 16
Negative weights:   0 out of 16
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (50.175439426888091357 + 3.8206568759301255073e-275j)  +/-  (5.85e-121, 5.85e-121j)
| (40.544903026196679487 - 7.9694671622841584867e-283j)  +/-  (4.89e-120, 4.89e-120j)
| (27.405421656957999983 - 2.3434682494934811545e-294j)  +/-  (2.25e-119, 2.25e-119j)
| (33.302284652844617466 - 1.0687307876642401643e-306j)  +/-  (1.28e-119, 1.28e-119j)
| (1 + 5.5338997733635595388e-310j)  +/-  (1.95e-124, 1.95e-124j)
| (11.455479249607491256 + 1.436238951147586879e-318j)  +/-  (6.3e-120, 6.3e-120j)
| (6.5212593219219463999 + 8.6641466447712658805e-339j)  +/-  (5.9e-121, 5.9e-121j)
| (22.447252488141452299 + 4.4442367976703199609e-357j)  +/-  (2.91e-119, 2.91e-119j)
| (8.7839377426673399853 + 1.6375524648929703597e-365j)  +/-  (2.04e-120, 2.04e-120j)
| (4.6348059430383635197 - 3.9752970887359814658e-369j)  +/-  (1.19e-121, 1.19e-121j)
| (3.099198948645371237 + 1.2062301108510105866e-370j)  +/-  (1.73e-122, 1.73e-122j)
| (1.8937211174545272055 + 1.2314601905045634447e-374j)  +/-  (2.18e-123, 2.18e-123j)
| (18.214819746057093287 - 1.8041002548638776659e-383j)  +/-  (2.2e-119, 2.2e-119j)
| (14.579261916739302577 - 4.6292078892597397269e-393j)  +/-  (1.4e-119, 1.4e-119j)
| (0.075022899952326487192 + 7.2997532758341368935e-398j)  +/-  (3.48e-127, 3.48e-127j)
| (0.39991971777630105096 - 3.991023365645516904e-398j)  +/-  (1.03e-125, 1.03e-125j)
-------------------------------------------------
The weights are:
| (1.8900560821926255715e-21 - 3.6081452904153113897e-296j)  +/-  (9.91e-53, 2.48e-112j)
| (2.009451945838232594e-17 + 7.7001147077207566064e-295j)  +/-  (1.74e-51, 4.37e-111j)
| (6.7435172895413100232e-12 + 1.8677725805071081933e-292j)  +/-  (6.4e-50, 1.6e-109j)
| (2.229691990931681166e-14 - 1.4572808272703819055e-293j)  +/-  (9.3e-51, 2.33e-110j)
| (0.27363777839855892731 + 1.0762238849925049617e-287j)  +/-  (3.58e-44, 8.98e-104j)
| (3.0601530846741642672e-05 + 2.2458324447579147971e-289j)  +/-  (5.64e-47, 1.41e-106j)
| (0.0030464011980415919576 + 1.8930041821304509828e-288j)  +/-  (4.24e-45, 1.06e-104j)
| (8.1485473941431083572e-10 - 1.6747078256098704467e-291j)  +/-  (8.92e-50, 2.23e-109j)
| (0.00037694737507958990106 - 7.2263060501484055278e-289j)  +/-  (2.05e-46, 5.13e-106j)
| (0.016574139410252614752 - 4.0582694601591143937e-288j)  +/-  (3.58e-45, 8.97e-105j)
| (0.061647885465251068804 + 7.0971517811105087022e-288j)  +/-  (9.18e-45, 2.3e-104j)
| (0.15752740282242859315 - 9.9610825530020173385e-288j)  +/-  (1.75e-44, 4.38e-104j)
| (4.8123492718734359437e-08 + 1.1070971952804171216e-290j)  +/-  (1.13e-49, 2.82e-109j)
| (1.5692157133756828195e-06 - 5.6138957151141928513e-290j)  +/-  (7.59e-49, 1.9e-108j)
| (0.17914392844061530947 + 2.8629574661148411698e-288j)  +/-  (3.59e-46, 9.05e-106j)
| (0.30801329719809889488 - 8.0513831509365179134e-288j)  +/-  (7.28e-46, 1.81e-105j)
