Starting with polynomial:
P : t
Extension levels are: 1 10
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^11 - 11/4*t^9 + 11/4*t^7 - 77/64*t^5 + 55/256*t^3 - 11/1024*t
-------------------------------------------------
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:
| (0.98982144188093273238 - 7.1050655769679294875e-128j)  +/-  (2.56e-61, 2.56e-61j)
| (-0.54064081745559758211 + 1.1226699578930676575e-132j)  +/-  (4.2e-62, 4.2e-62j)
| (-0.98982144188093273238 - 6.88716584742986718e-144j)  +/-  (2.34e-61, 2.34e-61j)
| (6.4141730288321777992e-153 - 5.3140677709801473046e-154j)  +/-  (7.08e-152, 7.08e-152j)
| (0.75574957435425828377 + 1.2980911096992852503e-159j)  +/-  (2.13e-61, 2.13e-61j)
| (0.54064081745559758211 - 1.1128886637493759907e-166j)  +/-  (3.87e-62, 3.87e-62j)
| (-0.28173255684142969771 - 3.8503960464543142535e-169j)  +/-  (3.72e-63, 3.72e-63j)
| (-0.90963199535451837141 + 1.971047623326695017e-173j)  +/-  (4.2e-61, 4.2e-61j)
| (-0.75574957435425828377 - 3.1328958246337493531e-180j)  +/-  (2.13e-61, 2.13e-61j)
| (0.28173255684142969771 - 1.0296288486157341812e-184j)  +/-  (3.72e-63, 3.72e-63j)
| (0.90963199535451837141 + 7.5843196438212562452e-186j)  +/-  (3.7e-61, 3.7e-61j)
-------------------------------------------------
The weights are:
| (0.090909090909090909091 + 1.5783447463371450094e-127j)  +/-  (4.91e-21, 2.15e-51j)
| (0.090909090909090909091 - 2.4947602737587217553e-128j)  +/-  (2.12e-21, 9.26e-52j)
| (0.090909090909090909091 + 3.2628241543813796066e-129j)  +/-  (7.12e-22, 3.11e-52j)
| (0.090909090909090909091 - 4.5852839916533721394e-128j)  +/-  (1.21e-21, 5.28e-52j)
| (0.090909090909090909091 + 1.2697690660999897606e-127j)  +/-  (2.56e-22, 1.12e-52j)
| (0.090909090909090909091 - 8.5002290037079116913e-128j)  +/-  (2.83e-22, 1.24e-52j)
| (0.090909090909090909091 + 3.4247313651347105736e-128j)  +/-  (2.63e-22, 1.15e-52j)
| (0.090909090909090909091 - 9.92623913636345422e-129j)  +/-  (2.29e-23, 1e-53j)
| (0.090909090909090909091 + 1.7027311083951416125e-128j)  +/-  (3.76e-23, 1.64e-53j)
| (0.090909090909090909091 + 6.1500442957761935239e-128j)  +/-  (1.04e-23, 4.62e-54j)
| (0.090909090909090909091 - 2.3512030126359180363e-127j)  +/-  (3.07e-24, 1.29e-54j)
