Starting with polynomial:
P : -t+1
Extension levels are: 1 13
-------------------------------------------------
Trying to find an order 13 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^14 + 540760240201/2944654296*t^13 - 42619116143617/2944654296*t^12 + 79087983980499/122693929*t^11 - 2206366504131361/122693929*t^10 + 40406429857052545/122693929*t^9 - 495254650024951245/122693929*t^8 + 4068777115242908640/122693929*t^7 - 22108259260328361120/122693929*t^6 + 77181034759175627280/122693929*t^5 - 164822581192594525200/122693929*t^4 + 198825564345090883200/122693929*t^3 - 118431894307533206400/122693929*t^2 + 26998343186537923200/122693929*t - 1254007393515676800/122693929
-------------------------------------------------
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:   14 out of 14
Indefinite weights: 0 out of 14
Negative weights:   0 out of 14
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (42.648935452924760905 + 4.590248258949088646e-272j)  +/-  (1.38e-121, 1.38e-121j)
| (16.903780764558321725 - 3.1078370552832531028e-282j)  +/-  (2.16e-120, 2.16e-120j)
| (26.829397535515862366 + 1.8695136805856480584e-297j)  +/-  (1.78e-120, 1.78e-120j)
| (21.402190307712686324 - 2.3728978571343936781e-306j)  +/-  (2.8e-120, 2.8e-120j)
| (33.577215786285529693 - 1.4320984875198050699e-312j)  +/-  (7.49e-121, 7.49e-121j)
| (3.3544961355113219877 - 2.1687505589847358303e-318j)  +/-  (9.13e-123, 9.13e-123j)
| (5.1165390392435986336 - 7.7136054706300799827e-340j)  +/-  (5.09e-122, 5.09e-122j)
| (13.129637573293466609 - 1.6362978286346887692e-360j)  +/-  (1.42e-120, 1.42e-120j)
| (9.9566074174112496258 - 1.3754117582874577373e-376j)  +/-  (5.97e-121, 5.97e-121j)
| (1.9893963503018184752 - 8.361161302237880635e-386j)  +/-  (1.22e-123, 1.22e-123j)
| (1 - 3.8015532307414108795e-389j)  +/-  (7.98e-125, 7.98e-125j)
| (0.36771519477871249354 + 1.0113613415669833896e-388j)  +/-  (5.34e-126, 5.34e-126j)
| (7.3040869932106965282 - 3.6556617801388123412e-389j)  +/-  (2.08e-121, 2.08e-121j)
| (0.061334469418495395577 - 1.7742349948678483487e-396j)  +/-  (2.24e-127, 2.24e-127j)
-------------------------------------------------
The weights are:
| (3.3218407220741956838e-18 - 7.6231373300493343027e-290j)  +/-  (3.48e-55, 5.96e-115j)
| (1.8737502728213359527e-07 - 1.400942965296325925e-285j)  +/-  (1.59e-50, 2.73e-110j)
| (1.3366774897104069751e-11 - 1.9306616242169309268e-287j)  +/-  (4.51e-53, 7.74e-113j)
| (2.4945437827959879675e-09 + 1.9618617788633401397e-286j)  +/-  (4.33e-52, 7.42e-112j)
| (1.99851048385312047e-14 + 1.3028513246209067017e-288j)  +/-  (1.98e-54, 3.39e-114j)
| (0.054469707699362165931 + 4.8271136831814016887e-283j)  +/-  (3.13e-47, 5.37e-107j)
| (0.011809138721041369027 - 2.3782281225860329251e-283j)  +/-  (1.08e-48, 1.85e-108j)
| (6.8646903982810445906e-06 + 7.3825547671633365692e-285j)  +/-  (1.9e-51, 3.24e-111j)
| (0.00013758507713918132961 - 2.976710976028249458e-284j)  +/-  (4.71e-51, 8e-111j)
| (0.16059727361749561087 - 7.8476990878833851076e-283j)  +/-  (8.62e-49, 1.33e-108j)
| (0.29708402246536548695 + 9.9455648707137756428e-283j)  +/-  (2.27e-48, 3.38e-108j)
| (0.31946253789929788522 - 8.8837461847378513399e-283j)  +/-  (1.09e-48, 1.62e-108j)
| (0.0016229778476663417399 + 9.4200078505237190483e-284j)  +/-  (1.31e-50, 2.31e-110j)
| (0.15480970209927584964 + 3.6310679740279201244e-283j)  +/-  (5.5e-49, 7.94e-109j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 13
-------------------------------------------------
Trying to find an order 13 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^14 + 540760240201/2944654296*t^13 - 42619116143617/2944654296*t^12 + 79087983980499/122693929*t^11 - 2206366504131361/122693929*t^10 + 40406429857052545/122693929*t^9 - 495254650024951245/122693929*t^8 + 4068777115242908640/122693929*t^7 - 22108259260328361120/122693929*t^6 + 77181034759175627280/122693929*t^5 - 164822581192594525200/122693929*t^4 + 198825564345090883200/122693929*t^3 - 118431894307533206400/122693929*t^2 + 26998343186537923200/122693929*t - 1254007393515676800/122693929
-------------------------------------------------
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:   14 out of 14
Indefinite weights: 0 out of 14
Negative weights:   0 out of 14
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (42.648935452924760905 + 4.590248258949088646e-272j)  +/-  (1.38e-121, 1.38e-121j)
| (16.903780764558321725 - 3.1078370552832531028e-282j)  +/-  (2.16e-120, 2.16e-120j)
| (26.829397535515862366 + 1.8695136805856480584e-297j)  +/-  (1.78e-120, 1.78e-120j)
| (21.402190307712686324 - 2.3728978571343936781e-306j)  +/-  (2.8e-120, 2.8e-120j)
| (33.577215786285529693 - 1.4320984875198050699e-312j)  +/-  (7.49e-121, 7.49e-121j)
| (3.3544961355113219877 - 2.1687505589847358303e-318j)  +/-  (9.13e-123, 9.13e-123j)
| (5.1165390392435986336 - 7.7136054706300799827e-340j)  +/-  (5.09e-122, 5.09e-122j)
| (13.129637573293466609 - 1.6362978286346887692e-360j)  +/-  (1.42e-120, 1.42e-120j)
| (9.9566074174112496258 - 1.3754117582874577373e-376j)  +/-  (5.97e-121, 5.97e-121j)
| (1.9893963503018184752 - 8.361161302237880635e-386j)  +/-  (1.22e-123, 1.22e-123j)
| (1 - 3.8015532307414108795e-389j)  +/-  (7.98e-125, 7.98e-125j)
| (0.36771519477871249354 + 1.0113613415669833896e-388j)  +/-  (5.34e-126, 5.34e-126j)
| (7.3040869932106965282 - 3.6556617801388123412e-389j)  +/-  (2.08e-121, 2.08e-121j)
| (0.061334469418495395577 - 1.7742349948678483487e-396j)  +/-  (2.24e-127, 2.24e-127j)
-------------------------------------------------
The weights are:
| (3.3218407220741956838e-18 - 7.6231373300493343027e-290j)  +/-  (3.48e-55, 5.96e-115j)
| (1.8737502728213359527e-07 - 1.400942965296325925e-285j)  +/-  (1.59e-50, 2.73e-110j)
| (1.3366774897104069751e-11 - 1.9306616242169309268e-287j)  +/-  (4.51e-53, 7.74e-113j)
| (2.4945437827959879675e-09 + 1.9618617788633401397e-286j)  +/-  (4.33e-52, 7.42e-112j)
| (1.99851048385312047e-14 + 1.3028513246209067017e-288j)  +/-  (1.98e-54, 3.39e-114j)
| (0.054469707699362165931 + 4.8271136831814016887e-283j)  +/-  (3.13e-47, 5.37e-107j)
| (0.011809138721041369027 - 2.3782281225860329251e-283j)  +/-  (1.08e-48, 1.85e-108j)
| (6.8646903982810445906e-06 + 7.3825547671633365692e-285j)  +/-  (1.9e-51, 3.24e-111j)
| (0.00013758507713918132961 - 2.976710976028249458e-284j)  +/-  (4.71e-51, 8e-111j)
| (0.16059727361749561087 - 7.8476990878833851076e-283j)  +/-  (8.62e-49, 1.33e-108j)
| (0.29708402246536548695 + 9.9455648707137756428e-283j)  +/-  (2.27e-48, 3.38e-108j)
| (0.31946253789929788522 - 8.8837461847378513399e-283j)  +/-  (1.09e-48, 1.62e-108j)
| (0.0016229778476663417399 + 9.4200078505237190483e-284j)  +/-  (1.31e-50, 2.31e-110j)
| (0.15480970209927584964 + 3.6310679740279201244e-283j)  +/-  (5.5e-49, 7.94e-109j)
