Starting with polynomial:
P : -t+1
Extension levels are: 1 6
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^7 + 8861/185*t^6 - 155826/185*t^5 + 253590/37*t^4 - 989880/37*t^3 + 1737720/37*t^2 - 1129104/37*t + 157104/37
-------------------------------------------------
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:   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:
| (18.989963815544515587 - 5.0834141088633421909e-148j)  +/-  (2.25e-60, 2.25e-60j)
| (7.9886543552868417152 + 6.5260481398001809004e-155j)  +/-  (4.82e-60, 4.82e-60j)
| (12.448513062956781353 + 2.7784484368563468543e-162j)  +/-  (5.19e-60, 5.19e-60j)
| (2.5026000900489822054 + 2.0959817188360178396e-170j)  +/-  (4.25e-61, 4.25e-61j)
| (1 - 8.8489245046746526198e-182j)  +/-  (4.65e-62, 4.65e-62j)
| (0.18796958875044643007 + 1.9263949356519167342e-194j)  +/-  (1.86e-63, 1.86e-63j)
| (4.779596384709730006 + 5.450809738881482246e-207j)  +/-  (1.93e-60, 1.93e-60j)
-------------------------------------------------
The weights are:
| (4.6765018868092923319e-08 + 1.1495672485353577201e-155j)  +/-  (3.29e-30, 6.16e-60j)
| (0.0012755330864601766758 + 2.6166751101640816109e-154j)  +/-  (1.99e-28, 3.71e-58j)
| (2.0704742062140341206e-05 - 6.6358640075098418324e-155j)  +/-  (2.59e-29, 4.85e-59j)
| (0.15319863388039273939 + 1.1541266152012041326e-153j)  +/-  (1.68e-27, 3.19e-57j)
| (0.42214261808226406552 - 1.1352437344539116522e-153j)  +/-  (3.01e-27, 5.72e-57j)
| (0.40061785043327232917 + 4.646058770205338465e-154j)  +/-  (1.72e-27, 3.27e-57j)
| (0.022744613010529680816 - 6.9029330119448964683e-154j)  +/-  (4.96e-28, 9.2e-58j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 6
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^7 + 8861/185*t^6 - 155826/185*t^5 + 253590/37*t^4 - 989880/37*t^3 + 1737720/37*t^2 - 1129104/37*t + 157104/37
-------------------------------------------------
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:   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:
| (18.989963815544515587 - 5.0834141088633421909e-148j)  +/-  (2.25e-60, 2.25e-60j)
| (7.9886543552868417152 + 6.5260481398001809004e-155j)  +/-  (4.82e-60, 4.82e-60j)
| (12.448513062956781353 + 2.7784484368563468543e-162j)  +/-  (5.19e-60, 5.19e-60j)
| (2.5026000900489822054 + 2.0959817188360178396e-170j)  +/-  (4.25e-61, 4.25e-61j)
| (1 - 8.8489245046746526198e-182j)  +/-  (4.65e-62, 4.65e-62j)
| (0.18796958875044643007 + 1.9263949356519167342e-194j)  +/-  (1.86e-63, 1.86e-63j)
| (4.779596384709730006 + 5.450809738881482246e-207j)  +/-  (1.93e-60, 1.93e-60j)
-------------------------------------------------
The weights are:
| (4.6765018868092923319e-08 + 1.1495672485353577201e-155j)  +/-  (3.29e-30, 6.16e-60j)
| (0.0012755330864601766758 + 2.6166751101640816109e-154j)  +/-  (1.99e-28, 3.71e-58j)
| (2.0704742062140341206e-05 - 6.6358640075098418324e-155j)  +/-  (2.59e-29, 4.85e-59j)
| (0.15319863388039273939 + 1.1541266152012041326e-153j)  +/-  (1.68e-27, 3.19e-57j)
| (0.42214261808226406552 - 1.1352437344539116522e-153j)  +/-  (3.01e-27, 5.72e-57j)
| (0.40061785043327232917 + 4.646058770205338465e-154j)  +/-  (1.72e-27, 3.27e-57j)
| (0.022744613010529680816 - 6.9029330119448964683e-154j)  +/-  (4.96e-28, 9.2e-58j)
