Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 7
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Trying to find an order 7 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^9 - 346/5*t^7 + 1743/5*t^5 - 1113/2*t^3 + 399/2*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:
| (-2.2201724783418921227 - 8.5988814176858736023e-137j)  +/-  (7.56e-62, 7.56e-62j)
| (2.2201724783418921227 + 0j)  +/-  (8.26e-62, 8.26e-62j)
| (-3.1316817004388926669 + 2.5026038689788761555e-147j)  +/-  (5.57e-62, 5.57e-62j)
| (0.7071067811865475244 - 7.8206370905589879861e-148j)  +/-  (5.22e-63, 5.22e-63j)
| (3.1316817004388926669 + 1.527468181749802341e-150j)  +/-  (5.42e-62, 5.42e-62j)
| (1.4364553225037617879 - 9.7757963631987349826e-150j)  +/-  (3.08e-62, 3.08e-62j)
| (1.0997770908598576855e-149 + 1.8329618180997628092e-150j)  +/-  (1e-148, 1e-148j)
| (-0.7071067811865475244 + 1.0174982068565723343e-166j)  +/-  (7.2e-63, 7.2e-63j)
| (-1.4364553225037617879 + 1.7650780261984014534e-184j)  +/-  (3.83e-62, 3.83e-62j)
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The weights are:
| (0.0033794707815047981805 - 6.7341807588674644475e-139j)  +/-  (7.32e-29, 3.57e-59j)
| (0.0033794707815047981805 - 6.5444619267453887893e-140j)  +/-  (2.28e-29, 1.11e-59j)
| (3.2127309356722662416e-05 - 2.821715513495327951e-140j)  +/-  (1.88e-30, 9.15e-61j)
| (0.24437548487199379364 - 9.4023062741337295542e-139j)  +/-  (6.08e-28, 2.84e-58j)
| (3.2127309356722662416e-05 + 4.8058478933575948003e-141j)  +/-  (1.08e-30, 5.28e-61j)
| (0.05371667643564092612 + 3.3880386022709051818e-139j)  +/-  (8.93e-29, 4.34e-59j)
| (0.3969924812030075188 + 1.6019606640359677325e-138j)  +/-  (3.83e-28, 1.79e-58j)
| (0.24437548487199379364 - 1.8190337803435242361e-138j)  +/-  (1.09e-28, 4.93e-59j)
| (0.05371667643564092612 + 1.5807738858896349582e-138j)  +/-  (4.06e-29, 1.95e-59j)
