Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6
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Trying to find an order 6 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^8 - 161/52*t^6 + 105/52*t^4 - 245/572*t^2 + 25/1716
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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:
| (0.98219129046748981137 - 3.2802129431479925546e-140j)  +/-  (4.75e-62, 4.75e-62j)
| (-0.98219129046748981137 + 3.0751996342012430199e-143j)  +/-  (4.88e-62, 4.88e-62j)
| (-0.85110112875893547946 + 1.4014581666281706471e-145j)  +/-  (7.05e-62, 7.05e-62j)
| (-0.2041968861768067152 + 4.3701215221876211386e-157j)  +/-  (1.46e-63, 1.46e-63j)
| (0.57735026918962576451 + 1.061333335637451163e-173j)  +/-  (1.63e-62, 1.63e-62j)
| (0.85110112875893547946 + 6.0329815348578174678e-187j)  +/-  (6.44e-62, 6.44e-62j)
| (0.2041968861768067152 - 8.561755269564074374e-196j)  +/-  (1.46e-63, 1.46e-63j)
| (-0.57735026918962576451 + 6.2708168478252497857e-199j)  +/-  (1.63e-62, 1.63e-62j)
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The weights are:
| (0.057803247064693176633 + 2.6397017025755927815e-140j)  +/-  (9.17e-25, 3.65e-55j)
| (0.057803247064693176633 - 9.4038839065751156808e-142j)  +/-  (3.97e-25, 1.58e-55j)
| (0.20679180755892348773 + 2.5713202801425305823e-141j)  +/-  (3.23e-25, 1.29e-55j)
| (0.40241419511944602834 + 5.8503730533448332445e-141j)  +/-  (1.21e-25, 4.83e-56j)
| (0.3329907502569373073 + 1.5493984052362221367e-140j)  +/-  (2.62e-26, 1.05e-56j)
| (0.20679180755892348773 - 3.643500571224654255e-140j)  +/-  (2.08e-26, 8.3e-57j)
| (0.40241419511944602834 - 8.9286385965045666961e-141j)  +/-  (1.79e-26, 7.21e-57j)
| (0.3329907502569373073 - 4.0086617121968921939e-141j)  +/-  (1.11e-26, 4.01e-57j)
