Starting with polynomial:
P : t^4 - 6*t^2 + 3
Extension levels are: 4 10
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Trying to find an order 10 Kronrod extension for:
P1 : t^4 - 6*t^2 + 3
Solvable: 1
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Ending with final polynomial:
P : t^14 - 477/7*t^12 + 11241/7*t^10 - 112815/7*t^8 + 68715*t^6 - 108945*t^4 + 46845*t^2 - 2835
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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:   14 out of 14
Indefinite weights: 0 out of 14
Negative weights:   0 out of 14
Extension rule has valid weights: 1
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The nodes are:
| (2.3344142183389772393 - 3.4580654142612908318e-221j)  +/-  (2.53e-61, 2.53e-61j)
| (-4.3114957943342286437 - 2.1612908839133067699e-224j)  +/-  (9.79e-61, 9.79e-61j)
| (-3.2762772292662860982 - 6.7540340122290836558e-225j)  +/-  (8.48e-61, 8.48e-61j)
| (5.5317060638607199116 - 4.3225817678266135397e-224j)  +/-  (5.02e-61, 5.02e-61j)
| (4.3114957943342286437 - 7.2140866219487893052e-230j)  +/-  (9.79e-61, 9.79e-61j)
| (-2.3344142183389772393 - 8.3734934004762733007e-231j)  +/-  (2.53e-61, 2.53e-61j)
| (-5.5317060638607199116 + 7.2462923657967749718e-232j)  +/-  (4.84e-61, 4.84e-61j)
| (-1.4656205133845524345 - 1.8207921403047620257e-237j)  +/-  (5.13e-62, 5.13e-62j)
| (0.26842728825432580984 - 1.1056964669489707904e-236j)  +/-  (1.88e-63, 1.88e-63j)
| (0.74196378430272585765 - 3.9313652158185628102e-236j)  +/-  (1e-62, 1e-62j)
| (1.4656205133845524345 + 3.5149144075678850504e-243j)  +/-  (5.13e-62, 5.13e-62j)
| (3.2762772292662860982 + 1.8157119472178819042e-249j)  +/-  (7.42e-61, 7.42e-61j)
| (-0.26842728825432580984 - 1.7049578831297719203e-254j)  +/-  (3.39e-63, 3.39e-63j)
| (-0.74196378430272585765 + 5.3279933847805372509e-256j)  +/-  (9.43e-63, 9.43e-63j)
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The weights are:
| (0.023702345206339695116 + 1.6598906177276072846e-222j)  +/-  (9.81e-22, 5.67e-52j)
| (4.0420466778370906088e-05 - 1.493131311758597321e-225j)  +/-  (1.56e-25, 9.03e-56j)
| (0.0018270730983303622864 + 2.0547378042655177625e-224j)  +/-  (3.91e-24, 2.26e-54j)
| (1.2584403798728312393e-07 + 1.0492784045956010073e-226j)  +/-  (1.08e-27, 6.23e-58j)
| (4.0420466778370906088e-05 - 5.0082149974007510309e-225j)  +/-  (2.39e-26, 1.38e-56j)
| (0.023702345206339695116 - 1.7549819716703741529e-223j)  +/-  (4.92e-24, 2.84e-54j)
| (1.2584403798728312393e-07 + 4.2633161693907751628e-227j)  +/-  (5.9e-28, 3.4e-58j)
| (0.11221157312922910174 + 1.1864542688013915435e-222j)  +/-  (3.41e-23, 1.96e-53j)
| (0.18804827085945109816 - 1.6278089585344676155e-221j)  +/-  (1.58e-22, 9e-53j)
| (0.17417019139583338451 + 1.1899470824116927969e-221j)  +/-  (1.11e-22, 6.31e-53j)
| (0.11221157312922910174 - 5.1900051612290272435e-222j)  +/-  (8.28e-24, 4.77e-54j)
| (0.0018270730983303622864 + 1.2251045734483091932e-223j)  +/-  (8.55e-26, 4.97e-56j)
| (0.18804827085945109816 + 1.2920435307844106774e-221j)  +/-  (3.71e-23, 2.13e-53j)
| (0.17417019139583338451 - 6.1593621248297729741e-222j)  +/-  (1.34e-23, 7.07e-54j)
