Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 4
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 4 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
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Ending with final polynomial:
P : 4*t^9 - 142/3*t^7 + 1399/9*t^5 - 2965/18*t^3 + 295/6*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:   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:
| (-0.7071067811865475244 - 7.4032738255960600097e-178j)  +/-  (1.38e-62, 1.38e-62j)
| (2.6822224032999497583 + 3.765499789223256434e-183j)  +/-  (3.2e-62, 3.2e-62j)
| (0.7071067811865475244 - 1.4364241749661470161e-188j)  +/-  (1.38e-62, 1.38e-62j)
| (-1.7320508075688772935 + 0j)  +/-  (5.13e-62, 5.13e-62j)
| (1.7320508075688772935 + 5.4795233725210075994e-194j)  +/-  (5.81e-62, 5.81e-62j)
| (1.0672470719421885588 + 2.8577941363786945638e-201j)  +/-  (3.4e-62, 3.4e-62j)
| (2.2278416792521404182e-213 + 8.9113667170085616727e-213j)  +/-  (8.27e-212, 8.27e-212j)
| (-1.0672470719421885588 - 6.3319068864647659273e-227j)  +/-  (3.47e-62, 3.47e-62j)
| (-2.6822224032999497583 + 2.9485239118639221076e-236j)  +/-  (3.2e-62, 3.2e-62j)
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The weights are:
| (0.19480519480519480519 + 1.2528819871481783293e-178j)  +/-  (3.68e-28, 1.11e-58j)
| (0.00045986431724352662175 + 1.8600805898564022925e-181j)  +/-  (1.07e-30, 2.97e-61j)
| (0.19480519480519480519 - 1.0197847071903122294e-178j)  +/-  (1.66e-28, 5.03e-59j)
| (0.023724792408066429419 + 1.2852500391007650287e-179j)  +/-  (1.16e-29, 3.15e-60j)
| (0.023724792408066429419 - 5.400631874375392861e-180j)  +/-  (1.35e-29, 3.86e-60j)
| (0.068580769938421792437 + 5.2989627333764078527e-179j)  +/-  (8.38e-29, 2.58e-59j)
| (0.42485875706214689266 + 1.7745428252545759586e-178j)  +/-  (1.97e-29, 7.29e-60j)
| (0.068580769938421792437 - 2.610723109042967674e-178j)  +/-  (7.21e-29, 2.02e-59j)
| (0.00045986431724352662175 - 3.1920352632941463421e-181j)  +/-  (2.24e-31, 5.68e-62j)
