Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 9
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Trying to find an order 9 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^11 - 1238/7*t^9 + 15354/7*t^7 - 9783*t^5 + 59445/4*t^3 - 41985/8*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:
| (-5.2109072187547580143 - 1.0441677023680289441e-153j)  +/-  (8.26e-62, 8.26e-62j)
| (3.1015293948262462479 - 1.8493352795715844662e-159j)  +/-  (1.78e-61, 1.78e-61j)
| (2.5876317516494047402e-171 + 1.0350527006597618961e-171j)  +/-  (3.07e-170, 3.07e-170j)
| (5.2109072187547580143 + 0j)  +/-  (8.26e-62, 8.26e-62j)
| (2.2101003296710005571 - 9.4137494730581410849e-184j)  +/-  (1.53e-61, 1.53e-61j)
| (0.7071067811865475244 + 1.4364241749661470161e-188j)  +/-  (6.27e-63, 6.27e-63j)
| (-3.1015293948262462479 + 2.2444127733846047127e-190j)  +/-  (1.91e-61, 1.91e-61j)
| (-2.2101003296710005571 + 1.0520684875240334591e-190j)  +/-  (1.62e-61, 1.62e-61j)
| (-0.7071067811865475244 - 5.1370531617384446244e-195j)  +/-  (6.27e-63, 6.27e-63j)
| (-1.4341212004681264598 + 8.9306066761834205118e-203j)  +/-  (4.96e-62, 4.96e-62j)
| (1.4341212004681264598 - 2.3763644578689497794e-212j)  +/-  (4.51e-62, 4.51e-62j)
-------------------------------------------------
The weights are:
| (2.0089467298375307743e-10 - 4.5242970166190653494e-163j)  +/-  (3.96e-29, 5.77e-60j)
| (3.7562663476214825589e-05 + 3.4535846501765124187e-162j)  +/-  (3.24e-27, 4.73e-58j)
| (0.39720308273362935742 + 4.370874961519657663e-160j)  +/-  (1.88e-25, 2.71e-56j)
| (2.0089467298375307743e-10 - 1.987199438253295299e-164j)  +/-  (1.39e-29, 2.02e-60j)
| (0.0034823539991797408242 - 3.2065801456589644669e-161j)  +/-  (3.03e-26, 4.41e-57j)
| (0.24411771037392633414 - 3.0498151812054074869e-160j)  +/-  (1.14e-25, 1.65e-56j)
| (3.7562663476214825589e-05 + 1.2815858637023500258e-161j)  +/-  (2.79e-28, 4.08e-59j)
| (0.0034823539991797408242 - 7.7749426331942391057e-161j)  +/-  (1.78e-27, 2.6e-58j)
| (0.24411771037392633414 - 3.994268801086191348e-160j)  +/-  (2.55e-26, 3.72e-57j)
| (0.05376083139570835851 + 2.297189631376594036e-160j)  +/-  (8.83e-27, 1.3e-57j)
| (0.05376083139570835851 + 1.3162002513691117613e-160j)  +/-  (6.68e-27, 8.44e-58j)
