Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 6
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
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Ending with final polynomial:
P : 4*t^11 - 6923/82*t^9 + 97479/164*t^7 - 566685/328*t^5 + 1313235/656*t^3 - 418635/656*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:
| (2.3142743884833336815 + 1.5898409482133942724e-168j)  +/-  (3.41e-61, 3.41e-61j)
| (1.7320508075688772935 + 4.0101066555311991719e-178j)  +/-  (4.18e-61, 4.18e-61j)
| (-0.7071067811865475244 + 4.2361872628761634882e-183j)  +/-  (1.05e-62, 1.05e-62j)
| (-3.2137281525534003284 + 1.5800665924627617177e-186j)  +/-  (1.21e-61, 1.21e-61j)
| (3.2137281525534003284 - 1.0296288486157341812e-184j)  +/-  (1.18e-61, 1.18e-61j)
| (0.7071067811865475244 + 4.5965573598916704516e-186j)  +/-  (1.5e-62, 1.5e-62j)
| (-1.7320508075688772935 + 0j)  +/-  (4.36e-61, 4.36e-61j)
| (-1.3866480207208212553 + 1.0169995379398990104e-190j)  +/-  (1.94e-61, 1.94e-61j)
| (0 + 3.4247021078256297496e-195j)  +/-  (3.77e-194, 3.77e-194j)
| (-2.3142743884833336815 + 5.3563227241840675253e-199j)  +/-  (3.41e-61, 3.41e-61j)
| (1.3866480207208212553 + 3.2793829518591506956e-210j)  +/-  (2.06e-61, 2.06e-61j)
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The weights are:
| (0.00210695528590298725 - 1.3343168875976775451e-170j)  +/-  (3.71e-26, 6.7e-56j)
| (0.0080331161113160375425 + 4.3141660327437989335e-170j)  +/-  (2.57e-25, 4.63e-55j)
| (0.24185618391217475249 + 1.3661391775634388852e-170j)  +/-  (4.79e-25, 8.6e-55j)
| (1.908398661937851997e-05 + 2.0386653179622971018e-173j)  +/-  (1.25e-28, 2.26e-58j)
| (1.908398661937851997e-05 - 1.2529545718683296767e-172j)  +/-  (6.73e-28, 1.22e-57j)
| (0.24185618391217475249 + 2.5682618087398875672e-170j)  +/-  (2.1e-25, 3.77e-55j)
| (0.0080331161113160375425 + 6.2076305655776775398e-171j)  +/-  (1.03e-26, 1.86e-56j)
| (0.048622447797755879279 - 1.1131885508109946261e-170j)  +/-  (2.3e-26, 4.18e-56j)
| (0.39872442581246192984 - 1.8977086800581063872e-170j)  +/-  (3.84e-26, 6.81e-56j)
| (0.00210695528590298725 - 7.2370929863827151148e-172j)  +/-  (8.6e-28, 1.56e-57j)
| (0.048622447797755879279 - 4.4412541468735664308e-170j)  +/-  (1.26e-26, 2.05e-56j)
