Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 10
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -1/6*t^13 + 421712143933/18158932572*t^12 - 16580419893369/12105955048*t^11 + 3812509465873861/84741685336*t^10 - 38643094608812075/42370842668*t^9 + 506353552676384715/42370842668*t^8 - 1091984068621849140/10592710667*t^7 + 885051068496082740/1513244381*t^6 - 3240102316652961480/1513244381*t^5 + 7343058389706333000/1513244381*t^4 - 9557249357291194800/1513244381*t^3 + 6247991847912253200/1513244381*t^2 - 1581098381678210400/1513244381*t + 80788952144584800/1513244381
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  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:
| (0.41577455678347908331 + 3.7608852785170299575e-282j)  +/-  (4.47e-126, 4.47e-126j)
| (1.146929214386978708 - 3.5897372582429871995e-281j)  +/-  (1.2e-124, 1.2e-124j)
| (0.067199040803470476278 - 2.345824872678047994e-283j)  +/-  (2.15e-127, 2.15e-127j)
| (35.437847783703106966 - 7.2670659885515699559e-283j)  +/-  (3.89e-122, 3.89e-122j)
| (15.915987798681286857 + 1.2809976427575182333e-297j)  +/-  (5.2e-121, 5.2e-121j)
| (11.9546395243946174 - 5.233753735252353076e-328j)  +/-  (5.21e-121, 5.21e-121j)
| (8.7376315429518833318 + 1.5731935022841972623e-357j)  +/-  (3.59e-121, 3.59e-121j)
| (26.991934405742286288 - 4.5223353803293777036e-379j)  +/-  (1.9e-121, 1.9e-121j)
| (20.804464519579446473 + 1.938963058295545311e-392j)  +/-  (3.93e-121, 3.93e-121j)
| (6.2899450829374791969 + 4.6483233064522941029e-395j)  +/-  (3.62e-121, 3.62e-121j)
| (5.4227280018623848672 + 1.1464450127063513135e-398j)  +/-  (2.58e-121, 2.58e-121j)
| (3.8610346127566722387 - 5.4235202345649331784e-401j)  +/-  (3.31e-122, 3.31e-122j)
| (2.2942803602790417198 + 1.5702113905682909886e-402j)  +/-  (1.86e-123, 1.86e-123j)
-------------------------------------------------
The weights are:
| (0.35026426714715081073 - 1.1767358025053706989e-281j)  +/-  (2.46e-31, 5.18e-92j)
| (0.29733528431850316512 + 1.8236484548421175568e-284j)  +/-  (7.95e-32, 1.67e-92j)
| (0.17092788940093560596 + 4.6043907373710221254e-282j)  +/-  (1.67e-31, 3.51e-92j)
| (4.2164947640660718207e-15 - 6.9785671187336090347e-291j)  +/-  (5.14e-50, 1.08e-110j)
| (5.3653258475404246626e-07 + 5.2510353665161464787e-286j)  +/-  (3.82e-46, 8.02e-107j)
| (2.2945123230564924135e-05 - 7.581460125775029372e-285j)  +/-  (4.43e-45, 9.3e-106j)
| (0.00046114610771929679249 + 9.6879506596221689916e-284j)  +/-  (2.94e-44, 6.17e-105j)
| (1.3374618142702905706e-11 + 7.2615973002977360202e-289j)  +/-  (2.1e-49, 4.42e-110j)
| (5.0258298408340683833e-09 - 2.5983907374642124501e-287j)  +/-  (5.22e-48, 1.1e-108j)
| (0.0032864469423531179029 - 1.4584614653619488191e-282j)  +/-  (8.83e-45, 1.86e-105j)
| (0.0036249036260725020738 + 2.9429632644551715865e-282j)  +/-  (9.19e-45, 1.93e-105j)
| (0.036916535731045283834 - 4.0660414299223508301e-282j)  +/-  (6.07e-45, 1.28e-105j)
| (0.13716004003119622315 + 9.6364725486825052062e-282j)  +/-  (9.25e-45, 1.94e-105j)
Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 10
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -1/6*t^13 + 421712143933/18158932572*t^12 - 16580419893369/12105955048*t^11 + 3812509465873861/84741685336*t^10 - 38643094608812075/42370842668*t^9 + 506353552676384715/42370842668*t^8 - 1091984068621849140/10592710667*t^7 + 885051068496082740/1513244381*t^6 - 3240102316652961480/1513244381*t^5 + 7343058389706333000/1513244381*t^4 - 9557249357291194800/1513244381*t^3 + 6247991847912253200/1513244381*t^2 - 1581098381678210400/1513244381*t + 80788952144584800/1513244381
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  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:
| (0.41577455678347908331 + 3.7608852785170299575e-282j)  +/-  (4.47e-126, 4.47e-126j)
| (1.146929214386978708 - 3.5897372582429871995e-281j)  +/-  (1.2e-124, 1.2e-124j)
| (0.067199040803470476278 - 2.345824872678047994e-283j)  +/-  (2.15e-127, 2.15e-127j)
| (35.437847783703106966 - 7.2670659885515699559e-283j)  +/-  (3.89e-122, 3.89e-122j)
| (15.915987798681286857 + 1.2809976427575182333e-297j)  +/-  (5.2e-121, 5.2e-121j)
| (11.9546395243946174 - 5.233753735252353076e-328j)  +/-  (5.21e-121, 5.21e-121j)
| (8.7376315429518833318 + 1.5731935022841972623e-357j)  +/-  (3.59e-121, 3.59e-121j)
| (26.991934405742286288 - 4.5223353803293777036e-379j)  +/-  (1.9e-121, 1.9e-121j)
| (20.804464519579446473 + 1.938963058295545311e-392j)  +/-  (3.93e-121, 3.93e-121j)
| (6.2899450829374791969 + 4.6483233064522941029e-395j)  +/-  (3.62e-121, 3.62e-121j)
| (5.4227280018623848672 + 1.1464450127063513135e-398j)  +/-  (2.58e-121, 2.58e-121j)
| (3.8610346127566722387 - 5.4235202345649331784e-401j)  +/-  (3.31e-122, 3.31e-122j)
| (2.2942803602790417198 + 1.5702113905682909886e-402j)  +/-  (1.86e-123, 1.86e-123j)
-------------------------------------------------
The weights are:
| (0.35026426714715081073 - 1.1767358025053706989e-281j)  +/-  (2.46e-31, 5.18e-92j)
| (0.29733528431850316512 + 1.8236484548421175568e-284j)  +/-  (7.95e-32, 1.67e-92j)
| (0.17092788940093560596 + 4.6043907373710221254e-282j)  +/-  (1.67e-31, 3.51e-92j)
| (4.2164947640660718207e-15 - 6.9785671187336090347e-291j)  +/-  (5.14e-50, 1.08e-110j)
| (5.3653258475404246626e-07 + 5.2510353665161464787e-286j)  +/-  (3.82e-46, 8.02e-107j)
| (2.2945123230564924135e-05 - 7.581460125775029372e-285j)  +/-  (4.43e-45, 9.3e-106j)
| (0.00046114610771929679249 + 9.6879506596221689916e-284j)  +/-  (2.94e-44, 6.17e-105j)
| (1.3374618142702905706e-11 + 7.2615973002977360202e-289j)  +/-  (2.1e-49, 4.42e-110j)
| (5.0258298408340683833e-09 - 2.5983907374642124501e-287j)  +/-  (5.22e-48, 1.1e-108j)
| (0.0032864469423531179029 - 1.4584614653619488191e-282j)  +/-  (8.83e-45, 1.86e-105j)
| (0.0036249036260725020738 + 2.9429632644551715865e-282j)  +/-  (9.19e-45, 1.93e-105j)
| (0.036916535731045283834 - 4.0660414299223508301e-282j)  +/-  (6.07e-45, 1.28e-105j)
| (0.13716004003119622315 + 9.6364725486825052062e-282j)  +/-  (9.25e-45, 1.94e-105j)
