Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3
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Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^5 - 25/14*t^3 + 3/7*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
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The nodes are:
| (-0.57735026918962576451 + 4.2491977233165047252e-46j)  +/-  (3.29e-45, 3.29e-45j)
| (-0.92582009977255146157 - 7.8102562207981019423e-48j)  +/-  (5.83e-47, 5.83e-47j)
| (8.5640419806916836211e-55 - 2.244993814816318712e-54j)  +/-  (1.2e-53, 1.2e-53j)
| (0.57735026918962576451 + 3.8802583362145473181e-74j)  +/-  (2.16e-63, 2.16e-63j)
| (0.92582009977255146157 - 1.1725888531383528573e-87j)  +/-  (3.38e-63, 3.38e-63j)
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The weights are:
| (0.49090909090909090909 + 9.3524020395050691423e-47j)  +/-  (4.37e-29, 1.75e-42j)
| (0.1979797979797979798 + 2.248209235192606628e-46j)  +/-  (7.57e-30, 3.04e-43j)
| (0.62222222222222222222 - 4.468386730023124834e-46j)  +/-  (2.63e-29, 1.05e-42j)
| (0.49090909090909090909 + 1.8329544793646682766e-46j)  +/-  (7.05e-30, 2.89e-43j)
| (0.1979797979797979798 - 5.4801718848465698489e-47j)  +/-  (2.74e-30, 1.03e-43j)
