Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 9
-------------------------------------------------
Trying to find an order 9 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^11 - 323973083/6432562*t^10 + 46399826177/22513967*t^9 - 1004895723537/22513967*t^8 + 12593185079184/22513967*t^7 - 789705857808/189193*t^6 + 59359713737184/3216281*t^5 - 150756797812320/3216281*t^4 + 207904046051520/3216281*t^3 - 143169306546240/3216281*t^2 + 42923750843520/3216281*t - 3648154826880/3216281
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (29.931367933064135385 - 9.8976914500589731314e-171j)  +/-  (5.73e-59, 5.73e-59j)
| (5.5642618882091297341 + 6.9171255110485854024e-175j)  +/-  (6.14e-59, 6.14e-59j)
| (22.007339008726826718 - 3.5772247997620936123e-181j)  +/-  (1.83e-58, 1.83e-58j)
| (0.13490733637737897331 + 1.0153556809281427082e-190j)  +/-  (4.84e-63, 4.84e-63j)
| (3.4142135623730950488 - 4.6594009175464393836e-187j)  +/-  (1.18e-59, 1.18e-59j)
| (1.8242060224267755665 - 3.7874465550865204527e-190j)  +/-  (1.86e-60, 1.86e-60j)
| (8.3414447105919828177 + 2.5030462765675962714e-189j)  +/-  (1.36e-58, 1.36e-58j)
| (0.5857864376269049512 - 1.3698808431302518998e-194j)  +/-  (3.02e-61, 3.02e-61j)
| (0.7806346058117750838 - 3.4497657789142812949e-200j)  +/-  (5.02e-61, 5.02e-61j)
| (16.290122074953683688 - 2.6696969456371482678e-211j)  +/-  (3.1e-58, 3.1e-58j)
| (11.854814095072534417 - 1.2742962609010341429e-225j)  +/-  (2.69e-58, 2.69e-58j)
-------------------------------------------------
The weights are:
| (9.8065469237833685212e-13 + 3.9568699761655318791e-183j)  +/-  (4.68e-29, 1.79e-57j)
| (0.0093878780342460187544 - 4.0766820552916997442e-177j)  +/-  (1.28e-22, 4.9e-51j)
| (1.8198636993585090327e-09 + 1.7907241073916693692e-182j)  +/-  (6.71e-28, 2.57e-56j)
| (0.30111322216732547199 + 1.1246238839073134094e-176j)  +/-  (6.13e-20, 2.35e-48j)
| (0.061247900094324922276 + 1.101800218902865133e-176j)  +/-  (8.97e-22, 3.43e-50j)
| (0.2136740203412058655 - 2.0428104200904779008e-176j)  +/-  (1.15e-20, 4.39e-49j)
| (0.0007444719604572421504 - 4.9135453080887237136e-178j)  +/-  (9.07e-25, 3.47e-53j)
| (0.10949985363095141979 - 8.1915316283580635738e-176j)  +/-  (2.92e-20, 1.12e-48j)
| (0.30430428376795438115 + 8.4617271026084263169e-176j)  +/-  (1.97e-20, 7.55e-49j)
| (4.2032868414756575557e-07 - 1.5436736188598164605e-180j)  +/-  (1.86e-27, 7.15e-56j)
| (2.7947854006176775736e-05 + 3.146682590774800175e-179j)  +/-  (2.46e-26, 9.39e-55j)
