Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 7
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^9 - 89913/1714*t^8 + 16731829/8570*t^7 - 296351461/8570*t^6 + 1368753309/4285*t^5 - 1335304635/857*t^4 + 3288628140/857*t^3 - 3643015068/857*t^2 + 1411261992/857*t - 98153496/857
-------------------------------------------------
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:   9 out of 9
Indefinite weights: 0 out of 9
Negative weights:   0 out of 9
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (49.441940340545226753 + 2.1878232260838768891e-144j)  +/-  (2.12e-60, 2.12e-60j)
| (1.6694437299650205346 - 8.2005323578699813865e-142j)  +/-  (3.42e-61, 3.42e-61j)
| (0.5857864376269049512 - 1.0611040404470434899e-144j)  +/-  (3.02e-62, 3.02e-62j)
| (5.9097866118444865871 + 4.6969646588806421987e-150j)  +/-  (8.32e-60, 8.32e-60j)
| (3.4142135623730950488 + 1.7924326555847664826e-158j)  +/-  (2.13e-60, 2.13e-60j)
| (0.088013629234907550529 - 1.8018197413085135087e-166j)  +/-  (1.02e-63, 1.02e-63j)
| (20.563544477823765674 + 4.1643415268977837555e-177j)  +/-  (1.61e-59, 1.61e-59j)
| (13.930954725516734507 - 2.700309117978352545e-190j)  +/-  (2.4e-59, 2.4e-59j)
| (9.3123024827361361061 - 2.1229327870241731045e-200j)  +/-  (2.05e-59, 2.05e-59j)
-------------------------------------------------
The weights are:
| (1.0064741663560183486e-16 - 5.1110089649319150443e-151j)  +/-  (3.31e-31, 1.29e-60j)
| (0.2641683612425388518 + 9.9995667879040079637e-143j)  +/-  (2.92e-20, 1.15e-49j)
| (0.43167247709595033432 - 2.3207845795463037283e-142j)  +/-  (3.03e-20, 1.19e-49j)
| (0.0079068236540414848222 - 9.5810987597779380799e-144j)  +/-  (2.25e-24, 8.82e-54j)
| (0.069138530226877488361 + 6.6316386713210699634e-143j)  +/-  (5.36e-23, 2.1e-52j)
| (0.22675333919139559126 + 7.4256782169061881764e-143j)  +/-  (1.09e-21, 4.29e-51j)
| (9.726147981946411713e-09 + 2.9327320100445496942e-147j)  +/-  (9.72e-29, 3.81e-58j)
| (4.8214585045519998675e-06 - 9.1004028895811660306e-146j)  +/-  (1.24e-27, 4.86e-57j)
| (0.00035563740454361483083 + 1.1787917610823134754e-144j)  +/-  (1.47e-26, 5.75e-56j)
Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 7
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^9 - 89913/1714*t^8 + 16731829/8570*t^7 - 296351461/8570*t^6 + 1368753309/4285*t^5 - 1335304635/857*t^4 + 3288628140/857*t^3 - 3643015068/857*t^2 + 1411261992/857*t - 98153496/857
-------------------------------------------------
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:   9 out of 9
Indefinite weights: 0 out of 9
Negative weights:   0 out of 9
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (49.441940340545226753 + 2.1878232260838768891e-144j)  +/-  (2.12e-60, 2.12e-60j)
| (1.6694437299650205346 - 8.2005323578699813865e-142j)  +/-  (3.42e-61, 3.42e-61j)
| (0.5857864376269049512 - 1.0611040404470434899e-144j)  +/-  (3.02e-62, 3.02e-62j)
| (5.9097866118444865871 + 4.6969646588806421987e-150j)  +/-  (8.32e-60, 8.32e-60j)
| (3.4142135623730950488 + 1.7924326555847664826e-158j)  +/-  (2.13e-60, 2.13e-60j)
| (0.088013629234907550529 - 1.8018197413085135087e-166j)  +/-  (1.02e-63, 1.02e-63j)
| (20.563544477823765674 + 4.1643415268977837555e-177j)  +/-  (1.61e-59, 1.61e-59j)
| (13.930954725516734507 - 2.700309117978352545e-190j)  +/-  (2.4e-59, 2.4e-59j)
| (9.3123024827361361061 - 2.1229327870241731045e-200j)  +/-  (2.05e-59, 2.05e-59j)
-------------------------------------------------
The weights are:
| (1.0064741663560183486e-16 - 5.1110089649319150443e-151j)  +/-  (3.31e-31, 1.29e-60j)
| (0.2641683612425388518 + 9.9995667879040079637e-143j)  +/-  (2.92e-20, 1.15e-49j)
| (0.43167247709595033432 - 2.3207845795463037283e-142j)  +/-  (3.03e-20, 1.19e-49j)
| (0.0079068236540414848222 - 9.5810987597779380799e-144j)  +/-  (2.25e-24, 8.82e-54j)
| (0.069138530226877488361 + 6.6316386713210699634e-143j)  +/-  (5.36e-23, 2.1e-52j)
| (0.22675333919139559126 + 7.4256782169061881764e-143j)  +/-  (1.09e-21, 4.29e-51j)
| (9.726147981946411713e-09 + 2.9327320100445496942e-147j)  +/-  (9.72e-29, 3.81e-58j)
| (4.8214585045519998675e-06 - 9.1004028895811660306e-146j)  +/-  (1.24e-27, 4.86e-57j)
| (0.00035563740454361483083 + 1.1787917610823134754e-144j)  +/-  (1.47e-26, 5.75e-56j)
