Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 7
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Trying to find an order 7 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : t^9 - 173/5*t^7 + 1743/5*t^5 - 1113*t^3 + 798*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:
| (-2.585563514939064629e-187 - 4.0219876899052116452e-187j)  +/-  (4.3e-186, 4.3e-186j)
| (1 - 3.4247021078256297496e-195j)  +/-  (5.77e-63, 5.77e-63j)
| (-4.4288667337963182986 + 4.0825630519695636625e-202j)  +/-  (8.17e-62, 8.17e-62j)
| (2.0314545988278380851 + 1.9137014306107329668e-203j)  +/-  (4.13e-62, 4.13e-62j)
| (4.4288667337963182986 - 1.7131116322198944202e-206j)  +/-  (8.17e-62, 8.17e-62j)
| (3.1397980296785904718 - 2.9008355198595578362e-216j)  +/-  (1.01e-61, 1.01e-61j)
| (-2.0314545988278380851 + 1.0806454419566533849e-224j)  +/-  (4.13e-62, 4.13e-62j)
| (-1 + 3.2205743847985666541e-232j)  +/-  (5.77e-63, 5.77e-63j)
| (-3.1397980296785904718 + 2.3432762717119233669e-243j)  +/-  (1.34e-61, 1.34e-61j)
-------------------------------------------------
The weights are:
| (0.3969924812030075188 - 1.0814848771986537568e-195j)  +/-  (1.67e-25, 2.17e-56j)
| (0.24437548487199379364 + 1.2356145313338163614e-187j)  +/-  (1.12e-25, 1.46e-56j)
| (3.2127309356722662416e-05 + 2.6071506921442275537e-190j)  +/-  (2.45e-28, 3.19e-59j)
| (0.05371667643564092612 - 2.7378297352383466592e-188j)  +/-  (5.05e-26, 6.57e-57j)
| (3.2127309356722662416e-05 - 2.6071506837413814717e-190j)  +/-  (6.51e-29, 8.47e-60j)
| (0.0033794707815047981805 + 4.1550226428369970181e-189j)  +/-  (1.14e-27, 1.49e-58j)
| (0.05371667643564092612 + 2.7378297593340608612e-188j)  +/-  (7.87e-28, 1.03e-58j)
| (0.24437548487199379364 - 1.2356145227374383144e-187j)  +/-  (2.3e-27, 3.01e-58j)
| (0.0033794707815047981805 - 4.1550226627873511527e-189j)  +/-  (1.14e-28, 1.47e-59j)
