Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 7
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Trying to find an order 7 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^10 + 13125919/971340*t^9 - 141392943/323780*t^8 + 4724634611/647560*t^7 - 44335180547/647560*t^6 + 119048783931/323780*t^5 - 71613183117/64756*t^4 + 28343232813/16189*t^3 - 20923244433/16189*t^2 + 5665869846/16189*t - 309371706/16189
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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:
| (25.829644150866535813 + 1.7363017222234081298e-151j)  +/-  (2.29e-59, 2.29e-59j)
| (13.267003866425797719 + 2.3612139733800818255e-170j)  +/-  (1.1e-58, 1.1e-58j)
| (9.3222143615948634386 - 7.3103648251717126863e-183j)  +/-  (9.03e-59, 9.03e-59j)
| (18.473060483615685957 + 8.8654304548691886152e-189j)  +/-  (6.65e-59, 6.65e-59j)
| (1.1294569298590887796 + 9.7261539862247884889e-193j)  +/-  (3.06e-61, 3.06e-61j)
| (0.071930230287362735756 + 9.7946480283813010839e-193j)  +/-  (1.4e-63, 1.4e-63j)
| (3.9859351438217261538 + 6.4329604393396629217e-191j)  +/-  (1.12e-59, 1.12e-59j)
| (6.2899450829374791969 - 1.1304192504346316947e-195j)  +/-  (4.01e-59, 4.01e-59j)
| (2.2942803602790417198 + 1.0206407629923909156e-199j)  +/-  (2.71e-60, 2.71e-60j)
| (0.41577455678347908331 + 2.5914706872853675592e-204j)  +/-  (2.76e-62, 2.76e-62j)
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The weights are:
| (5.5480456732805620401e-11 - 5.1461544820143105011e-162j)  +/-  (3.68e-28, 2.4e-57j)
| (7.7783476225605384718e-06 - 5.0359165211123804705e-160j)  +/-  (6.31e-26, 4.11e-55j)
| (0.00030839983504855937017 + 3.1613895659875776859e-159j)  +/-  (3.96e-25, 2.58e-54j)
| (5.7343428724733228349e-08 + 5.6260055345904833488e-161j)  +/-  (3.41e-27, 2.22e-56j)
| (0.29950645159721024157 + 1.7505170874504237109e-157j)  +/-  (7.54e-22, 4.92e-51j)
| (0.17657891081897295298 + 8.1448010936489919169e-158j)  +/-  (7.87e-22, 5.12e-51j)
| (0.03681381221913452796 + 4.4816472701532810166e-158j)  +/-  (4.14e-24, 2.7e-53j)
| (0.0049058855408958589716 - 1.3978114274394973574e-158j)  +/-  (8.85e-25, 5.77e-54j)
| (0.14271537079607955932 - 1.0508233035021995473e-157j)  +/-  (1.13e-23, 7.37e-53j)
| (0.33916333344612655781 - 1.8496465957319040228e-157j)  +/-  (5.01e-23, 3.2e-52j)
