Starting with polynomial:
P : t^4 - 6*t^2 + 3
Extension levels are: 4 7
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Trying to find an order 7 Kronrod extension for:
P1 : t^4 - 6*t^2 + 3
Solvable: 1
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Ending with final polynomial:
P : t^11 - 41*t^9 + 528*t^7 - 2520*t^5 + 4095*t^3 - 1575*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:
| (2.3344142183389772393 - 8.0798859841845769657e-189j)  +/-  (1.1e-61, 1.1e-61j)
| (-3.3747086797406716539 + 0j)  +/-  (1.42e-61, 1.42e-61j)
| (0.74196378430272585765 - 1.6722178260867332762e-198j)  +/-  (5.5e-63, 5.5e-63j)
| (-1.4655215253859805014 + 0j)  +/-  (3.37e-62, 3.37e-62j)
| (3.3747086797406716539 + 0j)  +/-  (1.42e-61, 1.42e-61j)
| (-4.6328811754148542753 + 1.1331388749451397798e-217j)  +/-  (6.13e-62, 6.13e-62j)
| (-2.3344142183389772393 - 8.104840814674900387e-225j)  +/-  (1.08e-61, 1.08e-61j)
| (9.6617231543956999623e-232 - 2.0128589904991041588e-233j)  +/-  (1.06e-230, 1.06e-230j)
| (1.4655215253859805014 + 2.9993936277912619096e-241j)  +/-  (3.37e-62, 3.37e-62j)
| (4.6328811754148542753 + 8.5813340028512818612e-247j)  +/-  (6.13e-62, 6.13e-62j)
| (-0.74196378430272585765 - 2.7934029957198183142e-249j)  +/-  (6.8e-63, 6.8e-63j)
-------------------------------------------------
The weights are:
| (0.025048819878317716795 + 3.9101646372126739528e-190j)  +/-  (7.16e-26, 3.62e-56j)
| (0.0015140568125348532207 - 4.3545698097554131667e-192j)  +/-  (7.77e-28, 3.91e-58j)
| (0.21508206464775363638 + 1.09129836809133892e-189j)  +/-  (7.81e-25, 3.93e-55j)
| (0.10596155113257208488 - 2.2086274062489756304e-190j)  +/-  (6.58e-25, 3.35e-55j)
| (0.0015140568125348532207 + 2.3897824250223408554e-191j)  +/-  (2.97e-28, 1.52e-58j)
| (1.2555147869327766025e-05 + 1.7409329847080854246e-193j)  +/-  (1.38e-29, 6.88e-60j)
| (0.025048819878317716795 + 4.3349549349207174916e-191j)  +/-  (5.44e-27, 2.68e-57j)
| (0.3047619047619047619 - 9.2298797999325146794e-190j)  +/-  (6.26e-26, 3.07e-56j)
| (0.10596155113257208488 - 9.6590088610104620035e-190j)  +/-  (1.31e-26, 6.35e-57j)
| (1.2555147869327766025e-05 - 5.2772541828710524524e-193j)  +/-  (4.12e-30, 2.21e-60j)
| (0.21508206464775363638 + 5.6489760323673004245e-190j)  +/-  (2.41e-26, 9.92e-57j)
