Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 8
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Trying to find an order 8 Kronrod extension for:
P1 : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Solvable: 1
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Ending with final polynomial:
P : -1/6*t^11 + 278027299/14518338*t^10 - 6456647635/7259169*t^9 + 263868946087/12098615*t^8 - 3742703600368/12098615*t^7 + 31654483962416/12098615*t^6 - 158924768527392/12098615*t^5 + 91552595564640/2419723*t^4 - 141117953419968/2419723*t^3 + 102658053097152/2419723*t^2 - 27723949110144/2419723*t + 1551192547968/2419723
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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:
| (35.816221634696844683 + 3.0218135808516632883e-181j)  +/-  (3.64e-59, 3.64e-59j)
| (24.569572360377089978 + 1.1582677351650736791e-179j)  +/-  (1.74e-58, 1.74e-58j)
| (2.2942803602790417198 + 1.592100379630958111e-181j)  +/-  (3.39e-60, 3.39e-60j)
| (17.976419661847845374 + 3.5393491671165862478e-184j)  +/-  (3.36e-58, 3.36e-58j)
| (0.41577455678347908331 - 1.2712494224248737631e-190j)  +/-  (3.39e-62, 3.39e-62j)
| (3.9949459910440663422 + 1.4260673620867661379e-194j)  +/-  (1.67e-59, 1.67e-59j)
| (9.2689032385878341967 + 4.3758523649977458047e-211j)  +/-  (1.6e-58, 1.6e-58j)
| (13.076438153399420659 + 9.9348278622266184146e-228j)  +/-  (2.76e-58, 2.76e-58j)
| (0.074495438145146838444 - 1.4416285532615921242e-236j)  +/-  (1.59e-63, 1.59e-63j)
| (6.2899450829374791969 - 6.4306999379844655343e-238j)  +/-  (6.29e-59, 6.29e-59j)
| (1.1234689884034961369 + 1.6586002360710957581e-242j)  +/-  (3.15e-61, 3.15e-61j)
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The weights are:
| (5.8299157062145751517e-15 - 1.2070023889255641341e-190j)  +/-  (2.98e-27, 3.87e-56j)
| (1.681196959425543601e-10 + 1.8860537496848241218e-188j)  +/-  (9.36e-26, 1.22e-54j)
| (0.14377657814522153612 - 1.4289472595691507577e-182j)  +/-  (3.62e-18, 4.7e-47j)
| (8.7229869372437299005e-08 - 6.1937686493333222633e-187j)  +/-  (7.05e-25, 9.16e-54j)
| (0.33376717910471450189 - 2.2182605981897906277e-182j)  +/-  (4.67e-19, 6.07e-48j)
| (0.036555276425713600713 - 5.7011497076934237482e-183j)  +/-  (7.7e-21, 1e-49j)
| (0.0003171152273803766145 - 9.7800577155608308946e-185j)  +/-  (1.5e-23, 1.95e-52j)
| (8.9916148893332063508e-06 + 9.6882459874411305488e-186j)  +/-  (1.79e-24, 2.33e-53j)
| (0.17956034711477289504 + 8.3069964935669458724e-183j)  +/-  (8.94e-21, 1.14e-49j)
| (0.0048573457052647139475 + 7.5805227030946644176e-184j)  +/-  (8.26e-23, 1.08e-51j)
| (0.30115707926404814417 + 3.3196892489602267842e-182j)  +/-  (4.41e-21, 5.49e-50j)
