Starting with polynomial:
P : -1/6*t^3 + 3/2*t^2 - 3*t + 1
Extension levels are: 3 6
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Trying to find an order 6 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^9 + 8076/811*t^8 - 742299/3244*t^7 + 8447753/3244*t^6 - 25618239/1622*t^5 + 83202615/1622*t^4 - 69021570/811*t^3 + 51667470/811*t^2 - 12582540/811*t + 166140/811
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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:
| (21.386110825520344838 - 1.9942624580925419364e-147j)  +/-  (7.83e-60, 7.83e-60j)
| (6.2899450829374791969 + 4.6614629570001292146e-155j)  +/-  (1.44e-59, 1.44e-59j)
| (14.501292642300796639 - 1.5204381129277765212e-156j)  +/-  (1.66e-59, 1.66e-59j)
| (9.7500082014447782041 - 7.2684211108162033709e-160j)  +/-  (2.24e-59, 2.24e-59j)
| (1.2627083649697538623 - 4.0275970688072654901e-167j)  +/-  (3.05e-61, 3.05e-61j)
| (0.41577455678347908331 - 4.8198397302057682355e-180j)  +/-  (1.65e-62, 1.65e-62j)
| (3.8343455071274751198 + 1.4525121257257678627e-184j)  +/-  (6.24e-60, 6.24e-60j)
| (0.013993151608491287585 + 1.7808450960693274698e-193j)  +/-  (1e-64, 1e-64j)
| (2.2942803602790417198 + 8.9306066761834205118e-203j)  +/-  (1.77e-60, 1.77e-60j)
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The weights are:
| (4.4586535943523524373e-09 + 4.898901569317292224e-156j)  +/-  (4.25e-30, 5.92e-59j)
| (0.0054403821583455861162 - 2.7603864390102633191e-153j)  +/-  (1.82e-26, 2.53e-55j)
| (2.8151666215044688665e-06 - 4.9958739172179157764e-155j)  +/-  (4.61e-29, 6.42e-58j)
| (0.00023503105390100935797 + 4.2917411313622065077e-154j)  +/-  (6.23e-28, 8.67e-57j)
| (0.27537155352228817914 + 5.0643145478857843587e-152j)  +/-  (4.4e-25, 6.1e-54j)
| (0.43447122784113963037 - 4.3790470411636679942e-152j)  +/-  (5.1e-25, 7.23e-54j)
| (0.042912167690769891658 + 1.3162998675853840442e-152j)  +/-  (1.35e-26, 1.9e-55j)
| (0.12440113144705193672 + 1.8390555409302459952e-152j)  +/-  (1.38e-25, 2.07e-54j)
| (0.11716568666122866781 - 3.6029956988900559505e-152j)  +/-  (5.82e-26, 7.96e-55j)
