Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 4
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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 4 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
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Ending with final polynomial:
P : t^9 - 71/3*t^7 + 1399/9*t^5 - 2965/9*t^3 + 590/3*t
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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:   9 out of 9
Indefinite weights: 0 out of 9
Negative weights:   0 out of 9
Extension rule has valid weights: 1
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The nodes are:
| (-1.5093152835436173382 - 3.6103887517296591521e-276j)  +/-  (9.47e-126, 9.47e-126j)
| (1 + 5.6367235125252359381e-293j)  +/-  (2.95e-126, 2.95e-126j)
| (-3.7932353000477464006 + 0j)  +/-  (7.54e-126, 7.54e-126j)
| (2.4494897427831780982 + 4.7117771705746321123e-330j)  +/-  (1.42e-125, 1.42e-125j)
| (1.5093152835436173382 - 7.6122865745494057724e-356j)  +/-  (9.47e-126, 9.47e-126j)
| (3.7932353000477464006 + 1.0564169781387141817e-373j)  +/-  (7.92e-126, 7.92e-126j)
| (-5.3522254909152213004e-380 - 4.5336498275987756898e-379j)  +/-  (4.11e-378, 4.11e-378j)
| (-1 - 3.3820358685700502243e-383j)  +/-  (2.95e-126, 2.95e-126j)
| (-2.4494897427831780982 + 2.0769494503231563367e-403j)  +/-  (1.04e-125, 1.04e-125j)
-------------------------------------------------
The weights are:
| (0.068580769938421792437 - 5.6836766024025052065e-277j)  +/-  (8.95e-25, 7.13e-119j)
| (0.19480519480519480519 + 1.5135369553059025272e-277j)  +/-  (6.8e-24, 5.45e-118j)
| (0.00045986431724352662175 + 7.2694706745430656529e-280j)  +/-  (2.17e-28, 1.73e-122j)
| (0.023724792408066429419 + 8.7628887622449057872e-279j)  +/-  (2.56e-27, 2.06e-121j)
| (0.068580769938421792437 - 8.2025022561656914636e-278j)  +/-  (4.22e-26, 3.45e-120j)
| (0.00045986431724352662175 - 3.1311138519556965107e-280j)  +/-  (5.68e-29, 4.56e-123j)
| (0.42485875706214689266 - 2.1893527742724267178e-277j)  +/-  (4.98e-26, 4.4e-120j)
| (0.19480519480519480519 + 7.4569555182647907616e-277j)  +/-  (1.63e-26, 1.51e-120j)
| (0.023724792408066429419 - 3.6898011572422864519e-278j)  +/-  (8.59e-28, 6.02e-122j)
