Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 7
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Trying to find an order 7 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Ending with final polynomial:
P : 16*t^11 - 328*t^9 + 2112*t^7 - 5040*t^5 + 4095*t^3 - 1575/2*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
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The nodes are:
| (3.2759416955673464603 + 4.0969889270508948175e-158j)  +/-  (6.33e-62, 6.33e-62j)
| (-1.0362802085752798674 + 5.5568968737126937086e-162j)  +/-  (2.04e-62, 2.04e-62j)
| (1.4490737809236666545e-170 - 2.8981475618473333091e-170j)  +/-  (3.56e-169, 3.56e-169j)
| (-2.3862793919737297977 + 0j)  +/-  (9.18e-62, 9.18e-62j)
| (-1.6506801238857845559 - 1.1767186841322676356e-184j)  +/-  (6.41e-62, 6.41e-62j)
| (1.0362802085752798674 - 7.2587856982324228291e-191j)  +/-  (2.04e-62, 2.04e-62j)
| (-3.2759416955673464603 + 1.1222063866923023564e-190j)  +/-  (6.33e-62, 6.33e-62j)
| (-0.52464762327529031788 + 4.4888255467692094254e-190j)  +/-  (5.6e-63, 5.6e-63j)
| (2.3862793919737297977 + 2.6755485217387732419e-196j)  +/-  (1.01e-61, 1.01e-61j)
| (1.6506801238857845559 + 3.5881901823951243128e-204j)  +/-  (6.75e-62, 6.75e-62j)
| (0.52464762327529031788 + 8.7025065595786735085e-216j)  +/-  (5.6e-63, 5.6e-63j)
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The weights are:
| (1.2555147869327766025e-05 - 1.9969070406933191077e-162j)  +/-  (9.95e-27, 8.28e-58j)
| (0.10596155113257208488 + 8.3785645771818307337e-161j)  +/-  (3.54e-22, 2.95e-53j)
| (0.3047619047619047619 + 2.8037777246652596765e-160j)  +/-  (3.6e-22, 2.99e-53j)
| (0.0015140568125348532207 + 1.8490306547650283425e-162j)  +/-  (7.25e-26, 6.03e-57j)
| (0.025048819878317716795 - 1.7190310391818813669e-161j)  +/-  (1.32e-24, 1.1e-55j)
| (0.10596155113257208488 + 1.5919609370195218069e-160j)  +/-  (3.26e-24, 2.71e-55j)
| (1.2555147869327766025e-05 - 7.8129216935207921511e-164j)  +/-  (1.58e-27, 1.32e-58j)
| (0.21508206464775363638 - 1.9629243578357133011e-160j)  +/-  (2.78e-24, 2.34e-55j)
| (0.0015140568125348532207 + 1.1855408733403072763e-161j)  +/-  (6.65e-27, 5.53e-58j)
| (0.025048819878317716795 - 5.2862045125249132911e-161j)  +/-  (4.95e-26, 4.11e-57j)
| (0.21508206464775363638 - 2.6864412377019675307e-160j)  +/-  (6.97e-25, 5.63e-56j)
