Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 6
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Trying to find an order 3 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
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Ending with final polynomial:
P : t^11 - 6923/164*t^9 + 97479/164*t^7 - 566685/164*t^5 + 1313235/164*t^3 - 418635/82*t
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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:   11 out of 11
Indefinite weights: 0 out of 11
Negative weights:   0 out of 11
Extension rule has valid weights: 1
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The nodes are:
| (-1 + 1.7782069995880619868e-161j)  +/-  (1.65e-62, 1.65e-62j)
| (3.2728782272458314193 + 1.6172698447808779627e-173j)  +/-  (4.43e-61, 4.43e-61j)
| (-3.2728782272458314193 - 9.1576954873909596474e-180j)  +/-  (4.55e-61, 4.55e-61j)
| (-4.5448979391212497356 - 3.2175901519241693161e-186j)  +/-  (1.61e-61, 1.61e-61j)
| (2.4494897427831780982 - 1.4364241749661470161e-188j)  +/-  (5.55e-61, 5.55e-61j)
| (1.961016437141193946 + 2.7397616862605037997e-194j)  +/-  (2.61e-61, 2.61e-61j)
| (-1.8289882472823645208e-199 - 6.6888713043469331047e-198j)  +/-  (7.36e-197, 7.36e-197j)
| (-2.4494897427831780982 + 2.6755485217387732419e-197j)  +/-  (5.62e-61, 5.62e-61j)
| (-1.961016437141193946 + 5.1032038149619545782e-203j)  +/-  (2.43e-61, 2.43e-61j)
| (4.5448979391212497356 - 1.8688490533307939129e-206j)  +/-  (1.72e-61, 1.72e-61j)
| (1 + 7.7974458773824914636e-213j)  +/-  (1.65e-62, 1.65e-62j)
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The weights are:
| (0.24185618391217475249 + 3.8478759900016352591e-163j)  +/-  (1.42e-23, 4.31e-54j)
| (0.00210695528590298725 - 8.1682219273486747281e-164j)  +/-  (3.77e-25, 1.15e-55j)
| (0.00210695528590298725 + 1.535577982588638128e-163j)  +/-  (1.52e-25, 4.61e-56j)
| (1.908398661937851997e-05 - 3.3124511332454175377e-165j)  +/-  (5.71e-27, 1.73e-57j)
| (0.0080331161113160375425 + 7.5870131300127719178e-163j)  +/-  (8.56e-25, 2.6e-55j)
| (0.048622447797755879279 - 1.4496959984700132661e-162j)  +/-  (2.63e-24, 7.99e-55j)
| (0.39872442581246192984 - 4.5759728657572260405e-162j)  +/-  (9.67e-24, 2.94e-54j)
| (0.0080331161113160375425 - 1.8055542718141081028e-162j)  +/-  (8.73e-26, 2.65e-56j)
| (0.048622447797755879279 + 4.4667016238514454453e-162j)  +/-  (1.58e-25, 4.86e-56j)
| (1.908398661937851997e-05 + 2.1176767047109906312e-165j)  +/-  (1.78e-28, 5.3e-59j)
| (0.24185618391217475249 + 2.1503517956316186077e-162j)  +/-  (2.78e-25, 7.43e-56j)
