Starting with polynomial:
P : -t+1
Extension levels are: 1 4
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^5 + 319/15*t^4 - 2104/15*t^3 + 1656/5*t^2 - 1208/5*t + 152/5
-------------------------------------------------
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:   5 out of 5
Indefinite weights: 0 out of 5
Negative weights:   0 out of 5
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (11.242378555161742866 + 5.4453680196577596895e-79j)  +/-  (1.96e-61, 1.96e-61j)
| (6.0165843328122930598 - 2.0233064317867021126e-96j)  +/-  (3.04e-61, 3.04e-61j)
| (2.8500082985710811872 + 1.3325451130151976654e-107j)  +/-  (1.19e-61, 1.19e-61j)
| (0.15769548012154955374 + 1.9827670604028509557e-118j)  +/-  (9.45e-64, 9.45e-64j)
| (1 - 2.2159148682685765874e-126j)  +/-  (1.97e-62, 1.97e-62j)
-------------------------------------------------
The weights are:
| (9.0051191494212348933e-05 - 2.4437795696228550953e-83j)  +/-  (2.26e-31, 5.36e-62j)
| (0.0097398365257067927443 + 9.6063816797102434362e-83j)  +/-  (2.19e-30, 5.17e-61j)
| (0.14124368477493936961 - 2.1979578318408315366e-82j)  +/-  (1.07e-29, 2.53e-60j)
| (0.369326094452072781 - 1.4956200324103430513e-82j)  +/-  (3.26e-29, 7.14e-60j)
| (0.4796003330557868443 + 2.9773176532424357538e-82j)  +/-  (3.64e-29, 7.68e-60j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 4
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^5 + 319/15*t^4 - 2104/15*t^3 + 1656/5*t^2 - 1208/5*t + 152/5
-------------------------------------------------
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:   5 out of 5
Indefinite weights: 0 out of 5
Negative weights:   0 out of 5
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (11.242378555161742866 + 5.4453680196577596895e-79j)  +/-  (1.96e-61, 1.96e-61j)
| (6.0165843328122930598 - 2.0233064317867021126e-96j)  +/-  (3.04e-61, 3.04e-61j)
| (2.8500082985710811872 + 1.3325451130151976654e-107j)  +/-  (1.19e-61, 1.19e-61j)
| (0.15769548012154955374 + 1.9827670604028509557e-118j)  +/-  (9.45e-64, 9.45e-64j)
| (1 - 2.2159148682685765874e-126j)  +/-  (1.97e-62, 1.97e-62j)
-------------------------------------------------
The weights are:
| (9.0051191494212348933e-05 - 2.4437795696228550953e-83j)  +/-  (2.26e-31, 5.36e-62j)
| (0.0097398365257067927443 + 9.6063816797102434362e-83j)  +/-  (2.19e-30, 5.17e-61j)
| (0.14124368477493936961 - 2.1979578318408315366e-82j)  +/-  (1.07e-29, 2.53e-60j)
| (0.369326094452072781 - 1.4956200324103430513e-82j)  +/-  (3.26e-29, 7.14e-60j)
| (0.4796003330557868443 + 2.9773176532424357538e-82j)  +/-  (3.64e-29, 7.68e-60j)
