Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 11
-------------------------------------------------
Trying to find an order 11 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^13 - 18217400083/245851822*t^12 + 10290592535077/2212666398*t^11 - 359733573108877/2212666398*t^10 + 3877112389395025/1106333199*t^9 - 5993103443466315/122925911*t^8 + 54793694107899120/122925911*t^7 - 329296310064118320/122925911*t^6 + 1281178849673812320/122925911*t^5 - 3122327020985172000/122925911*t^4 + 4490711239693694400/122925911*t^3 - 3419257286556619200/122925911*t^2 + 1107508972328035200/122925911*t - 86769927648835200/122925911
-------------------------------------------------
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
  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:   13 out of 13
Indefinite weights: 0 out of 13
Negative weights:   0 out of 13
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (28.6109725238072836 - 5.5804869555054933712e-359j)  +/-  (2.4e-121, 2.4e-121j)
| (37.218881806001868176 + 8.8313078838066461706e-368j)  +/-  (4.5e-122, 4.5e-122j)
| (9.7798502106768087455 - 3.5642043727972374881e-376j)  +/-  (3.01e-121, 3.01e-121j)
| (4.8756981196096181048 + 1.7996018361758391682e-393j)  +/-  (6.52e-122, 6.52e-122j)
| (22.278327019980576889 - 1.5509723539387510285e-401j)  +/-  (4.98e-121, 4.98e-121j)
| (17.250118471980345482 + 2.344541414559162264e-407j)  +/-  (5.85e-121, 5.85e-121j)
| (3.4142135623730950488 - 2.377965570416850767e-417j)  +/-  (2.23e-122, 2.23e-122j)
| (13.148625681641529615 - 1.2866230774801574802e-431j)  +/-  (5.14e-121, 5.14e-121j)
| (7.0352322696686434723 - 6.77647833788522691e-444j)  +/-  (1.43e-121, 1.43e-121j)
| (2.4694610717242374464 + 7.0013828130808044318e-455j)  +/-  (5.7e-123, 5.7e-123j)
| (0.5857864376269049512 + 2.5573707504275954796e-461j)  +/-  (1.47e-125, 1.47e-125j)
| (1.4194875456629432555 - 6.2966246642643501755e-468j)  +/-  (3.72e-124, 3.72e-124j)
| (0.11155617556400939476 - 3.0538691047067086299e-475j)  +/-  (3.86e-127, 3.86e-127j)
-------------------------------------------------
The weights are:
| (2.7058868243324253415e-12 + 7.8748210165215530497e-371j)  +/-  (2.98e-53, 3.71e-114j)
| (7.2263858737140965135e-16 + 2.4481016757857926483e-373j)  +/-  (9e-55, 1.12e-115j)
| (0.00017222092644117576883 + 1.4001763090407355597e-367j)  +/-  (3.22e-49, 4.01e-110j)
| (0.014113964314157910233 + 2.335714745589123421e-366j)  +/-  (6.99e-47, 8.69e-108j)
| (1.1809617316917730202e-09 - 5.8361827206026430403e-370j)  +/-  (1.19e-52, 1.48e-113j)
| (1.4579624376885444474e-07 + 4.2982840502112771842e-369j)  +/-  (6.86e-52, 8.53e-113j)
| (0.034803905085563858654 - 6.1685560786444206548e-366j)  +/-  (5.3e-48, 6.59e-109j)
| (7.2305710057954063465e-06 - 2.7205413499125493841e-368j)  +/-  (3.48e-51, 4.33e-112j)
| (0.0021594680448968441729 - 6.0692404170793040713e-367j)  +/-  (1.17e-49, 1.46e-110j)
| (0.085610605665333747755 + 7.5920436275117255297e-366j)  +/-  (1.64e-48, 2.04e-109j)
| (0.36764358773748991247 + 2.8490125846867584403e-366j)  +/-  (7.53e-49, 9.28e-110j)
| (0.23956517634521179907 - 5.2504232179532798355e-366j)  +/-  (1.02e-48, 1.27e-109j)
| (0.25592369432998684646 - 8.6747349568540836278e-367j)  +/-  (2.73e-49, 3.3e-110j)
Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 11
-------------------------------------------------
Trying to find an order 11 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^13 - 18217400083/245851822*t^12 + 10290592535077/2212666398*t^11 - 359733573108877/2212666398*t^10 + 3877112389395025/1106333199*t^9 - 5993103443466315/122925911*t^8 + 54793694107899120/122925911*t^7 - 329296310064118320/122925911*t^6 + 1281178849673812320/122925911*t^5 - 3122327020985172000/122925911*t^4 + 4490711239693694400/122925911*t^3 - 3419257286556619200/122925911*t^2 + 1107508972328035200/122925911*t - 86769927648835200/122925911
-------------------------------------------------
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
  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:   13 out of 13
Indefinite weights: 0 out of 13
Negative weights:   0 out of 13
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (28.6109725238072836 - 5.5804869555054933712e-359j)  +/-  (2.4e-121, 2.4e-121j)
| (37.218881806001868176 + 8.8313078838066461706e-368j)  +/-  (4.5e-122, 4.5e-122j)
| (9.7798502106768087455 - 3.5642043727972374881e-376j)  +/-  (3.01e-121, 3.01e-121j)
| (4.8756981196096181048 + 1.7996018361758391682e-393j)  +/-  (6.52e-122, 6.52e-122j)
| (22.278327019980576889 - 1.5509723539387510285e-401j)  +/-  (4.98e-121, 4.98e-121j)
| (17.250118471980345482 + 2.344541414559162264e-407j)  +/-  (5.85e-121, 5.85e-121j)
| (3.4142135623730950488 - 2.377965570416850767e-417j)  +/-  (2.23e-122, 2.23e-122j)
| (13.148625681641529615 - 1.2866230774801574802e-431j)  +/-  (5.14e-121, 5.14e-121j)
| (7.0352322696686434723 - 6.77647833788522691e-444j)  +/-  (1.43e-121, 1.43e-121j)
| (2.4694610717242374464 + 7.0013828130808044318e-455j)  +/-  (5.7e-123, 5.7e-123j)
| (0.5857864376269049512 + 2.5573707504275954796e-461j)  +/-  (1.47e-125, 1.47e-125j)
| (1.4194875456629432555 - 6.2966246642643501755e-468j)  +/-  (3.72e-124, 3.72e-124j)
| (0.11155617556400939476 - 3.0538691047067086299e-475j)  +/-  (3.86e-127, 3.86e-127j)
-------------------------------------------------
The weights are:
| (2.7058868243324253415e-12 + 7.8748210165215530497e-371j)  +/-  (2.98e-53, 3.71e-114j)
| (7.2263858737140965135e-16 + 2.4481016757857926483e-373j)  +/-  (9e-55, 1.12e-115j)
| (0.00017222092644117576883 + 1.4001763090407355597e-367j)  +/-  (3.22e-49, 4.01e-110j)
| (0.014113964314157910233 + 2.335714745589123421e-366j)  +/-  (6.99e-47, 8.69e-108j)
| (1.1809617316917730202e-09 - 5.8361827206026430403e-370j)  +/-  (1.19e-52, 1.48e-113j)
| (1.4579624376885444474e-07 + 4.2982840502112771842e-369j)  +/-  (6.86e-52, 8.53e-113j)
| (0.034803905085563858654 - 6.1685560786444206548e-366j)  +/-  (5.3e-48, 6.59e-109j)
| (7.2305710057954063465e-06 - 2.7205413499125493841e-368j)  +/-  (3.48e-51, 4.33e-112j)
| (0.0021594680448968441729 - 6.0692404170793040713e-367j)  +/-  (1.17e-49, 1.46e-110j)
| (0.085610605665333747755 + 7.5920436275117255297e-366j)  +/-  (1.64e-48, 2.04e-109j)
| (0.36764358773748991247 + 2.8490125846867584403e-366j)  +/-  (7.53e-49, 9.28e-110j)
| (0.23956517634521179907 - 5.2504232179532798355e-366j)  +/-  (1.02e-48, 1.27e-109j)
| (0.25592369432998684646 - 8.6747349568540836278e-367j)  +/-  (2.73e-49, 3.3e-110j)
