Starting with polynomial:
P : 16*t^5 - 20*t^3 + 5*t
Extension levels are: 5 6
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Trying to find an order 6 Kronrod extension for:
P1 : 16*t^5 - 20*t^3 + 5*t
Solvable: 1
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Ending with final polynomial:
P : 16*t^11 - 48*t^9 + 53*t^7 - 26*t^5 + 85/16*t^3 - 5/16*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
Positive weights:   11 out of 11
Indefinite weights: 0 out of 11
Negative weights:   0 out of 11
Extension rule has valid weights: 1
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The nodes are:
| (1 - 3.2061792455636784494e-167j)  +/-  (6.47e-61, 6.47e-61j)
| (-1 + 1.4698583241235510811e-176j)  +/-  (6.47e-61, 6.47e-61j)
| (-0.95105651629515357212 + 3.6772458879133363613e-185j)  +/-  (8.97e-61, 8.97e-61j)
| (-0.8090169943749474241 - 2.2260563700866593372e-194j)  +/-  (3.27e-61, 3.27e-61j)
| (0.8090169943749474241 - 1.4452242895024157543e-192j)  +/-  (3.38e-61, 3.38e-61j)
| (0.58778525229247312917 - 1.6454623408693455438e-195j)  +/-  (5.26e-62, 5.26e-62j)
| (0.3090169943749474241 + 5.6437351630427248071e-198j)  +/-  (3.57e-63, 3.57e-63j)
| (-0.3090169943749474241 + 2.8218675815213624036e-198j)  +/-  (3.57e-63, 3.57e-63j)
| (-0.58778525229247312917 - 1.959630264945390558e-200j)  +/-  (4.95e-62, 4.95e-62j)
| (-1.4288970681893472819e-201 + 3.4701785941741291132e-201j)  +/-  (4.13e-200, 4.13e-200j)
| (0.95105651629515357212 - 3.3425984988000802487e-201j)  +/-  (1.07e-60, 1.07e-60j)
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The weights are:
| (0.05 + 5.3703502363559078607e-167j)  +/-  (1.51e-22, 1.88e-51j)
| (0.05 + 8.0154483601104657897e-169j)  +/-  (7.09e-23, 8.83e-52j)
| (0.1 - 1.6433041674494923947e-168j)  +/-  (5.56e-23, 6.92e-52j)
| (0.1 + 1.7723323050340813165e-168j)  +/-  (1.63e-23, 2.02e-52j)
| (0.1 + 1.6787772478632929091e-167j)  +/-  (3.39e-24, 4.22e-53j)
| (0.1 - 7.7779343504228874775e-168j)  +/-  (2.06e-24, 2.56e-53j)
| (0.1 + 4.6400261949124254981e-168j)  +/-  (1.38e-24, 1.71e-53j)
| (0.1 + 2.4493029976888582458e-168j)  +/-  (3.92e-25, 4.93e-54j)
| (0.1 - 2.0192776363152370848e-168j)  +/-  (4.74e-25, 6.08e-54j)
| (0.1 - 3.2061792470335367696e-168j)  +/-  (2.38e-25, 2.84e-54j)
| (0.1 - 6.550778577461726561e-167j)  +/-  (2.57e-25, 3.37e-54j)
