Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 5
-------------------------------------------------
Trying to find an order 5 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^7 - 1813/94*t^6 + 37391/141*t^5 - 229175/141*t^4 + 642700/141*t^3 - 254620/47*t^2 + 104680/47*t - 8840/47
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   7 out of 7
Indefinite weights: 0 out of 7
Negative weights:   0 out of 7
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (16.402635230020449078 - 1.3522137320175541526e-371j)  +/-  (2.08e-124, 2.08e-124j)
| (3.4142135623730950488 - 8.7690862443154985787e-376j)  +/-  (1.16e-124, 1.16e-124j)
| (10.257801186785141083 - 3.7531470487504996275e-387j)  +/-  (4.55e-124, 4.55e-124j)
| (0.5857864376269049512 + 6.5971272589224308939e-412j)  +/-  (3.47e-126, 3.47e-126j)
| (1.6054525833172712334 + 6.386376561368621125e-450j)  +/-  (3.24e-125, 3.24e-125j)
| (0.11237331364323042761 + 1.6121480944907209962e-478j)  +/-  (1.82e-127, 1.82e-127j)
| (6.196205771340291157 - 6.2184292093392910016e-492j)  +/-  (3.23e-124, 3.23e-124j)
-------------------------------------------------
The weights are:
| (5.9049119610927719935e-07 + 4.2378333116414455e-378j)  +/-  (4e-31, 9.18e-125j)
| (0.074396368972855330854 - 4.1619333694172513957e-376j)  +/-  (9.9e-28, 2.27e-121j)
| (0.00017142028773055830628 - 2.8104007249090143708e-377j)  +/-  (3.64e-30, 8.4e-124j)
| (0.38843727223198685334 - 1.2557043464529437281e-375j)  +/-  (3e-27, 7.48e-121j)
| (0.27783244416596576997 + 9.4236166726029756474e-376j)  +/-  (1.3e-27, 3.19e-121j)
| (0.2523379414147465752 + 6.1352893598027073053e-376j)  +/-  (1.63e-27, 4.16e-121j)
| (0.006823962435518803047 + 1.3987325409154927057e-376j)  +/-  (3.45e-29, 7.84e-123j)
Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 5
-------------------------------------------------
Trying to find an order 5 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^7 - 1813/94*t^6 + 37391/141*t^5 - 229175/141*t^4 + 642700/141*t^3 - 254620/47*t^2 + 104680/47*t - 8840/47
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   7 out of 7
Indefinite weights: 0 out of 7
Negative weights:   0 out of 7
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (16.402635230020449078 - 1.3522137320175541526e-371j)  +/-  (2.08e-124, 2.08e-124j)
| (3.4142135623730950488 - 8.7690862443154985787e-376j)  +/-  (1.16e-124, 1.16e-124j)
| (10.257801186785141083 - 3.7531470487504996275e-387j)  +/-  (4.55e-124, 4.55e-124j)
| (0.5857864376269049512 + 6.5971272589224308939e-412j)  +/-  (3.47e-126, 3.47e-126j)
| (1.6054525833172712334 + 6.386376561368621125e-450j)  +/-  (3.24e-125, 3.24e-125j)
| (0.11237331364323042761 + 1.6121480944907209962e-478j)  +/-  (1.82e-127, 1.82e-127j)
| (6.196205771340291157 - 6.2184292093392910016e-492j)  +/-  (3.23e-124, 3.23e-124j)
-------------------------------------------------
The weights are:
| (5.9049119610927719935e-07 + 4.2378333116414455e-378j)  +/-  (4e-31, 9.18e-125j)
| (0.074396368972855330854 - 4.1619333694172513957e-376j)  +/-  (9.9e-28, 2.27e-121j)
| (0.00017142028773055830628 - 2.8104007249090143708e-377j)  +/-  (3.64e-30, 8.4e-124j)
| (0.38843727223198685334 - 1.2557043464529437281e-375j)  +/-  (3e-27, 7.48e-121j)
| (0.27783244416596576997 + 9.4236166726029756474e-376j)  +/-  (1.3e-27, 3.19e-121j)
| (0.2523379414147465752 + 6.1352893598027073053e-376j)  +/-  (1.63e-27, 4.16e-121j)
| (0.006823962435518803047 + 1.3987325409154927057e-376j)  +/-  (3.45e-29, 7.84e-123j)
