Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 12
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Trying to find an order 12 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : t^14 - 124249/1555*t^12 + 3530769/1555*t^10 - 8883963/311*t^8 + 50229333/311*t^6 - 114812775/311*t^4 + 78937551/311*t^2 - 6151761/311
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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
-------------------------------------------------
The nodes are:
| (3.6069468897368460303 - 9.3229259140002584291e-156j)  +/-  (1.59e-60, 1.59e-60j)
| (4.6254356317132469284 - 1.5262473102848585015e-166j)  +/-  (1.87e-60, 1.87e-60j)
| (-2.6788642116343808239 + 2.2641777826932291477e-171j)  +/-  (7.23e-61, 7.23e-61j)
| (-5.8272369191325365786 + 3.7803682621753022377e-172j)  +/-  (7.87e-61, 7.87e-61j)
| (-3.6069468897368460303 + 1.0027073037641443368e-171j)  +/-  (1.63e-60, 1.63e-60j)
| (1.8100151044187559318 - 1.1624127009362560357e-173j)  +/-  (2.36e-61, 2.36e-61j)
| (-4.6254356317132469284 - 4.0101066555311991719e-177j)  +/-  (1.75e-60, 1.75e-60j)
| (-1 + 1.3881138422992612518e-178j)  +/-  (2.71e-62, 2.71e-62j)
| (0.2983537964726121739 + 5.0126333194139989649e-179j)  +/-  (4.31e-63, 4.31e-63j)
| (5.8272369191325365786 - 2.2969548714261864247e-181j)  +/-  (6.93e-61, 6.93e-61j)
| (1 - 1.7007262231599180671e-185j)  +/-  (2.85e-62, 2.85e-62j)
| (2.6788642116343808239 + 1.4027579833653779454e-189j)  +/-  (7.15e-61, 7.15e-61j)
| (-0.2983537964726121739 + 9.6988633913030530018e-197j)  +/-  (3.1e-63, 3.1e-63j)
| (-1.8100151044187559318 + 3.5273344769017030044e-199j)  +/-  (1.93e-61, 1.93e-61j)
-------------------------------------------------
The weights are:
| (0.0005760291082305695096 + 1.1119155436968229586e-158j)  +/-  (9.11e-23, 1.35e-52j)
| (9.7819999278132357203e-06 + 5.3973185202777729158e-160j)  +/-  (3.22e-24, 4.76e-54j)
| (0.0098809886556137197268 + 4.6945378949957964421e-159j)  +/-  (1.53e-22, 2.26e-52j)
| (2.3154831845211237908e-08 - 2.2597540564883788775e-162j)  +/-  (5.37e-27, 7.96e-57j)
| (0.0005760291082305695096 - 7.4443523352241778371e-160j)  +/-  (1.39e-24, 2.06e-54j)
| (0.065313216080933070583 + 6.0205936955578014952e-158j)  +/-  (7.88e-23, 1.17e-52j)
| (9.7819999278132357203e-06 + 6.6774207046244891459e-161j)  +/-  (6.73e-26, 9.96e-56j)
| (0.1862254014094946888 + 6.294336409661304527e-158j)  +/-  (2.42e-22, 3.76e-52j)
| (0.23799455959096829293 + 1.5829421452947561391e-157j)  +/-  (1.36e-22, 2.1e-52j)
| (2.3154831845211237908e-08 - 9.601869507785609943e-162j)  +/-  (8.31e-28, 1.23e-57j)
| (0.1862254014094946888 - 1.1123231416648262064e-157j)  +/-  (3.61e-23, 5.65e-53j)
| (0.0098809886556137197268 - 3.1795635359272470926e-158j)  +/-  (2.1e-24, 3.11e-54j)
| (0.23799455959096829293 - 1.3410776454301926093e-157j)  +/-  (3.12e-23, 5.28e-53j)
| (0.065313216080933070583 - 1.9971704046843678072e-158j)  +/-  (6.31e-24, 8.51e-54j)
