Starting with polynomial:
P : -t+1
Extension levels are: 1 3 7
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P2 : -t^4 + 49/4*t^3 - 153/4*t^2 + 57/2*t - 3/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^11 + 3392967828406597/35581698318300*t^10 - 263171002995616061/71163396636600*t^9 + 360863401741672131/4744226442440*t^8 - 43090000478835438697/47442264424400*t^7 + 307806075790591533337/47442264424400*t^6 - 654931550855543318721/23721132212200*t^5 + 321249949241386686423/4744226442440*t^4 - 21206270089716845259/237211322122*t^3 + 66432143812531301091/1186056610610*t^2 - 7673711663467963953/593028305305*t + 338438366351142183/593028305305
-------------------------------------------------
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
Sufficient bits for target precision reached
Positive weights:   11 out of 11
Indefinite weights: 0 out of 11
Negative weights:   0 out of 11
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (28.362899450210316155 + 1.2266687057226075837e-146j)  +/-  (4.08e-59, 4.08e-59j)
| (15.283008481909114084 + 2.0020830951831009244e-146j)  +/-  (2.96e-58, 2.96e-58j)
| (5.2859213350899696288 + 1.4320014203904396947e-152j)  +/-  (5.24e-59, 5.24e-59j)
| (20.73785821897546204 + 5.4579146481496863519e-161j)  +/-  (1.6e-58, 1.6e-58j)
| (0.056897625001077184683 + 3.5001938315866088301e-164j)  +/-  (1.03e-63, 1.03e-63j)
| (3.369839231310923141 + 3.7903219638338161404e-177j)  +/-  (1.45e-59, 1.45e-59j)
| (0.36497383805791774614 + 6.310153943659285196e-183j)  +/-  (2.9e-62, 2.9e-62j)
| (11.095137741785095783 - 3.6037009701550696341e-183j)  +/-  (2.08e-58, 2.08e-58j)
| (7.8232631436879996743 - 2.2300485316349432425e-186j)  +/-  (1.42e-58, 1.42e-58j)
| (1.9773083450470460309 - 3.1458597853256669758e-196j)  +/-  (3.25e-60, 3.25e-60j)
| (1 + 1.0041948913230799292e-203j)  +/-  (3.49e-61, 3.49e-61j)
-------------------------------------------------
The weights are:
| (4.5452930394585803328e-12 + 1.6111646758901770472e-156j)  +/-  (7.08e-28, 1.57e-56j)
| (1.0924388144031379556e-06 - 1.2578552530584633891e-152j)  +/-  (1.48e-25, 3.28e-54j)
| (0.011191264774272083151 + 6.8309721897186149742e-151j)  +/-  (2.11e-22, 4.67e-51j)
| (6.2059947000522251988e-09 - 2.1146615111864524018e-154j)  +/-  (7.82e-27, 1.73e-55j)
| (0.14933145302509000314 - 2.2316619139344375817e-150j)  +/-  (7.63e-21, 1.69e-49j)
| (0.056308121364882458649 - 1.8806406870413719024e-150j)  +/-  (5.53e-22, 1.23e-50j)
| (0.3258522393385766796 + 5.2964634967215952594e-150j)  +/-  (6.53e-21, 1.44e-49j)
| (5.6044613397461516404e-05 + 5.3648979842159840454e-152j)  +/-  (4.83e-25, 1.07e-53j)
| (0.0011537319849120988215 - 1.9896915980569612821e-151j)  +/-  (3.6e-24, 7.97e-53j)
| (0.16156594717571619843 + 3.8530367725670888723e-150j)  +/-  (1.73e-22, 3.82e-51j)
| (0.29454009907379862046 - 5.5621862998041724683e-150j)  +/-  (3.66e-22, 8.04e-51j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 3 7
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P2 : -t^4 + 49/4*t^3 - 153/4*t^2 + 57/2*t - 3/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^11 + 3392967828406597/35581698318300*t^10 - 263171002995616061/71163396636600*t^9 + 360863401741672131/4744226442440*t^8 - 43090000478835438697/47442264424400*t^7 + 307806075790591533337/47442264424400*t^6 - 654931550855543318721/23721132212200*t^5 + 321249949241386686423/4744226442440*t^4 - 21206270089716845259/237211322122*t^3 + 66432143812531301091/1186056610610*t^2 - 7673711663467963953/593028305305*t + 338438366351142183/593028305305
-------------------------------------------------
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
Sufficient bits for target precision reached
Positive weights:   11 out of 11
Indefinite weights: 0 out of 11
Negative weights:   0 out of 11
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (28.362899450210316155 + 1.2266687057226075837e-146j)  +/-  (4.08e-59, 4.08e-59j)
| (15.283008481909114084 + 2.0020830951831009244e-146j)  +/-  (2.96e-58, 2.96e-58j)
| (5.2859213350899696288 + 1.4320014203904396947e-152j)  +/-  (5.24e-59, 5.24e-59j)
| (20.73785821897546204 + 5.4579146481496863519e-161j)  +/-  (1.6e-58, 1.6e-58j)
| (0.056897625001077184683 + 3.5001938315866088301e-164j)  +/-  (1.03e-63, 1.03e-63j)
| (3.369839231310923141 + 3.7903219638338161404e-177j)  +/-  (1.45e-59, 1.45e-59j)
| (0.36497383805791774614 + 6.310153943659285196e-183j)  +/-  (2.9e-62, 2.9e-62j)
| (11.095137741785095783 - 3.6037009701550696341e-183j)  +/-  (2.08e-58, 2.08e-58j)
| (7.8232631436879996743 - 2.2300485316349432425e-186j)  +/-  (1.42e-58, 1.42e-58j)
| (1.9773083450470460309 - 3.1458597853256669758e-196j)  +/-  (3.25e-60, 3.25e-60j)
| (1 + 1.0041948913230799292e-203j)  +/-  (3.49e-61, 3.49e-61j)
-------------------------------------------------
The weights are:
| (4.5452930394585803328e-12 + 1.6111646758901770472e-156j)  +/-  (7.08e-28, 1.57e-56j)
| (1.0924388144031379556e-06 - 1.2578552530584633891e-152j)  +/-  (1.48e-25, 3.28e-54j)
| (0.011191264774272083151 + 6.8309721897186149742e-151j)  +/-  (2.11e-22, 4.67e-51j)
| (6.2059947000522251988e-09 - 2.1146615111864524018e-154j)  +/-  (7.82e-27, 1.73e-55j)
| (0.14933145302509000314 - 2.2316619139344375817e-150j)  +/-  (7.63e-21, 1.69e-49j)
| (0.056308121364882458649 - 1.8806406870413719024e-150j)  +/-  (5.53e-22, 1.23e-50j)
| (0.3258522393385766796 + 5.2964634967215952594e-150j)  +/-  (6.53e-21, 1.44e-49j)
| (5.6044613397461516404e-05 + 5.3648979842159840454e-152j)  +/-  (4.83e-25, 1.07e-53j)
| (0.0011537319849120988215 - 1.9896915980569612821e-151j)  +/-  (3.6e-24, 7.97e-53j)
| (0.16156594717571619843 + 3.8530367725670888723e-150j)  +/-  (1.73e-22, 3.82e-51j)
| (0.29454009907379862046 - 5.5621862998041724683e-150j)  +/-  (3.66e-22, 8.04e-51j)
