Starting with polynomial:
P : t
Extension levels are: 1 12
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Trying to find an order 12 Kronrod extension for:
P1 : t
Solvable: 1
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Ending with final polynomial:
P : t^13 - 78/25*t^11 + 429/115*t^9 - 1716/805*t^7 + 1287/2185*t^5 - 2574/37145*t^3 + 429/185725*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:
| (0.98418305471858814947 + 4.3962742470575570919e-211j)  +/-  (1.84e-60, 1.84e-60j)
| (-0.98418305471858814947 - 4.3767806323641008632e-212j)  +/-  (1.62e-60, 1.62e-60j)
| (-0.91759839922297796521 - 8.4936464021487853443e-213j)  +/-  (3.27e-60, 3.27e-60j)
| (-0.23045831595513479407 + 4.1019627273014060027e-216j)  +/-  (5.5e-63, 5.5e-63j)
| (0.64234933944034022064 - 6.3818381436910272396e-215j)  +/-  (5.28e-61, 5.28e-61j)
| (0.80157809073330991279 + 4.1430390115181673197e-218j)  +/-  (1.98e-60, 1.98e-60j)
| (-7.9967762704792350485e-223 - 7.3483890053052430175e-223j)  +/-  (1.41e-221, 1.41e-221j)
| (-0.80157809073330991279 + 1.0158067154392541818e-222j)  +/-  (1.71e-60, 1.71e-60j)
| (-0.64234933944034022064 - 1.5136699608553263274e-230j)  +/-  (5.58e-61, 5.58e-61j)
| (0.23045831595513479407 - 9.9819819932893196353e-238j)  +/-  (5.77e-63, 5.77e-63j)
| (0.91759839922297796521 - 2.6689916734798807149e-240j)  +/-  (2.82e-60, 2.82e-60j)
| (0.44849275103644685288 - 3.1893958043930597584e-245j)  +/-  (6.96e-62, 6.96e-62j)
| (-0.44849275103644685288 + 1.3855278858770298838e-247j)  +/-  (7.7e-62, 7.7e-62j)
-------------------------------------------------
The weights are:
| (0.04048400476531587952 - 5.589106932255106627e-211j)  +/-  (1.43e-19, 9.3e-49j)
| (0.04048400476531587952 - 6.8080458854874616796e-212j)  +/-  (6.26e-20, 4.06e-49j)
| (0.092121499837728447914 + 1.1720894802216464619e-211j)  +/-  (5.11e-20, 3.31e-49j)
| (0.22628318026289723841 + 2.1646258949669137962e-211j)  +/-  (1.03e-20, 6.69e-50j)
| (0.17814598076194573828 + 4.8106327878233560322e-211j)  +/-  (6.41e-21, 4.16e-50j)
| (0.13887351021978723846 - 6.1455924325975974316e-211j)  +/-  (4.45e-21, 2.89e-50j)
| (0.23255155323087391019 - 2.65636800613827709e-211j)  +/-  (4.47e-21, 2.9e-50j)
| (0.13887351021978723846 - 1.1050378842052551675e-211j)  +/-  (2.01e-21, 1.31e-50j)
| (0.17814598076194573828 + 1.3872981301047019599e-211j)  +/-  (1.22e-21, 7.92e-51j)
| (0.22628318026289723841 + 3.2301667964218671145e-211j)  +/-  (4.5e-22, 2.97e-51j)
| (0.092121499837728447914 + 9.0745943007652426576e-211j)  +/-  (7.06e-23, 4.62e-52j)
| (0.20781604753688850231 - 3.920597715368362184e-211j)  +/-  (1.53e-22, 1.01e-51j)
| (0.20781604753688850231 - 1.7418998311903833541e-211j)  +/-  (1.22e-22, 7.04e-52j)
