Starting with polynomial:
P : t^3 - 3*t
Extension levels are: 3 8
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Trying to find an order 8 Kronrod extension for:
P1 : t^3 - 3*t
Solvable: 1
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Ending with final polynomial:
P : t^11 - 149/3*t^9 + 798*t^7 - 4914*t^5 + 10605*t^3 - 5355*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:
| (2.6840395601585691766 + 8.6826513651760839197e-165j)  +/-  (1.64e-61, 1.64e-61j)
| (4.9791465117195582423 - 2.1197879309511923632e-168j)  +/-  (1.26e-61, 1.26e-61j)
| (-1.7320508075688772935 - 9.2540922819950750121e-179j)  +/-  (5.51e-62, 5.51e-62j)
| (-2.6840395601585691766 - 3.2990979579943574951e-196j)  +/-  (1.61e-61, 1.61e-61j)
| (3.7355715460409572598 - 5.9932286886948520618e-195j)  +/-  (2.59e-61, 2.59e-61j)
| (-4.9791465117195582423 - 1.0451361413042082976e-199j)  +/-  (1.26e-61, 1.26e-61j)
| (-3.9868779804390270142e-205 + 3.9868779804390270142e-205j)  +/-  (6.2e-204, 6.2e-204j)
| (-0.84628809835102169611 - 7.4261389308404680606e-214j)  +/-  (5.47e-63, 5.47e-63j)
| (-3.7355715460409572598 - 4.3225817678266135397e-224j)  +/-  (2.84e-61, 2.84e-61j)
| (1.7320508075688772935 - 4.2212712576431772849e-226j)  +/-  (5.17e-62, 5.17e-62j)
| (0.84628809835102169611 + 0j)  +/-  (8.41e-63, 8.41e-63j)
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The weights are:
| (0.010812729181550774617 - 1.4671127475688891288e-166j)  +/-  (6.77e-24, 1.96e-54j)
| (2.3417977747018329504e-06 + 3.8492060251775705022e-169j)  +/-  (1.01e-26, 2.93e-57j)
| (0.081442699243746364165 + 7.2128210324439781738e-167j)  +/-  (2.54e-23, 7.36e-54j)
| (0.010812729181550774617 - 1.748908429432839921e-167j)  +/-  (3.56e-25, 1.03e-55j)
| (0.00041751146352803366757 - 1.4069065051413826082e-167j)  +/-  (3.42e-26, 9.93e-57j)
| (2.3417977747018329504e-06 - 1.1527840396493827976e-169j)  +/-  (2.61e-28, 7.56e-59j)
| (0.33464052287581699346 + 3.0476204180169475694e-166j)  +/-  (1.77e-24, 4.99e-55j)
| (0.24000445687549162899 - 1.8342462724942125786e-166j)  +/-  (9.95e-25, 2.82e-55j)
| (0.00041751146352803366757 + 2.3044916796095177056e-168j)  +/-  (5.75e-27, 1.67e-57j)
| (0.081442699243746364165 + 3.3458940245633694378e-166j)  +/-  (1.12e-25, 3.3e-56j)
| (0.24000445687549162899 - 3.523597371085814229e-166j)  +/-  (4.13e-25, 1.12e-55j)
