Starting with polynomial:
P : 2*t^2 - 1
Extension levels are: 2 11
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Trying to find an order 11 Kronrod extension for:
P1 : 2*t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : 2*t^13 - 7*t^11 + 19/2*t^9 - 25/4*t^7 + 259/128*t^5 - 73/256*t^3 + 3/256*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
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   13 out of 13
Indefinite weights: 0 out of 13
Negative weights:   0 out of 13
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-1 - 2.9369510373481058071e-320j)  +/-  (5.58e-124, 5.58e-124j)
| (-0.86602540378443864676 - 3.1950607734496112454e-321j)  +/-  (3.9e-124, 3.9e-124j)
| (-0.25881904510252076235 - 5.7944018944261394701e-320j)  +/-  (4.36e-127, 4.36e-127j)
| (0.7071067811865475244 - 1.1962564449931181951e-321j)  +/-  (7.63e-125, 7.63e-125j)
| (-0.96592582628906828675 - 1.0249860846413633396e-330j)  +/-  (1.11e-123, 1.11e-123j)
| (-0.7071067811865475244 + 3.5307683103361293623e-332j)  +/-  (8.62e-125, 8.62e-125j)
| (-0.5 + 2.570282498902024811e-333j)  +/-  (7.51e-126, 7.51e-126j)
| (0.25881904510252076235 + 3.4878194289995811925e-330j)  +/-  (4.36e-127, 4.36e-127j)
| (0.5 - 7.5223555954088372227e-343j)  +/-  (9.51e-126, 9.51e-126j)
| (4.5638619757873750906e-364 - 2.8357977325280777262e-364j)  +/-  (6.99e-363, 6.99e-363j)
| (0.96592582628906828675 + 2.1404347744906049396e-382j)  +/-  (7.68e-124, 7.68e-124j)
| (1 - 2.4739227220959115852e-411j)  +/-  (6.36e-124, 6.36e-124j)
| (0.86602540378443864676 + 2.2865538066111776384e-432j)  +/-  (4.56e-124, 4.56e-124j)
-------------------------------------------------
The weights are:
| (0.041666666666666666667 - 6.1235911422205392443e-320j)  +/-  (1.67e-48, 2.37e-109j)
| (0.083333333333333333333 - 2.5822554898319678257e-320j)  +/-  (7.15e-49, 1.01e-109j)
| (0.083333333333333333333 + 4.5135437565753329307e-321j)  +/-  (1.44e-49, 2.03e-110j)
| (0.083333333333333333333 - 3.4665553468221763993e-321j)  +/-  (1.83e-50, 2.58e-111j)
| (0.083333333333333333333 + 7.6050545624609930081e-320j)  +/-  (5.57e-49, 7.88e-110j)
| (0.083333333333333333333 + 2.087341535160764628e-320j)  +/-  (1.72e-49, 2.44e-110j)
| (0.083333333333333333333 - 2.5725860132807522088e-320j)  +/-  (5.52e-50, 7.8e-111j)
| (0.083333333333333333333 - 6.9249415032145812917e-321j)  +/-  (4.51e-51, 6.38e-112j)
| (0.083333333333333333333 + 4.0555107348646171502e-321j)  +/-  (1.73e-51, 2.45e-112j)
| (0.083333333333333333333 + 1.5760657222179121891e-320j)  +/-  (5.31e-51, 7.52e-112j)
| (0.083333333333333333333 - 2.9374767623129773872e-321j)  +/-  (2.18e-53, 3.09e-114j)
| (0.041666666666666666667 + 1.4049063032081785159e-321j)  +/-  (1.06e-53, 1.52e-114j)
| (0.083333333333333333333 + 3.4547210726375010168e-321j)  +/-  (2.34e-53, 3.23e-114j)
