Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 5
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Trying to find an order 5 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^7 - 106/3*t^5 + 215/3*t^3 - 55/2*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:
| (0.7071067811865475244 + 9.3612369786833883226e-106j)  +/-  (5.38e-63, 5.38e-63j)
| (-2.4631197782145911371 - 9.2942205956383638548e-120j)  +/-  (1.49e-62, 1.49e-62j)
| (-1.5054482028623358456 - 1.1541223272232169726e-128j)  +/-  (2.02e-62, 2.02e-62j)
| (2.4631197782145911371 + 8.5988814176858736023e-137j)  +/-  (1.71e-62, 1.71e-62j)
| (-2.5626663618343691833e-144 + 9.6099988568788844373e-145j)  +/-  (1.92e-143, 1.92e-143j)
| (1.5054482028623358456 - 2.8640028407808793894e-152j)  +/-  (1.89e-62, 1.89e-62j)
| (-0.7071067811865475244 - 5.6902623986817983576e-160j)  +/-  (4.47e-63, 4.47e-63j)
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The weights are:
| (0.25423728813559322034 - 2.5386070633366643259e-106j)  +/-  (1.61e-27, 7.55e-59j)
| (0.001428811839066749964 - 2.8755004634469268581e-108j)  +/-  (4.46e-29, 2.15e-60j)
| (0.050394506085946090303 + 3.476036984275289199e-107j)  +/-  (6.69e-28, 3.23e-59j)
| (0.001428811839066749964 + 5.1912986727421275775e-108j)  +/-  (6.87e-30, 3.32e-61j)
| (0.38787878787878787879 + 4.8141048348518506814e-106j)  +/-  (5.93e-28, 2.78e-59j)
| (0.050394506085946090303 - 9.6336263476754024417e-107j)  +/-  (5.64e-29, 2.74e-60j)
| (0.25423728813559322034 - 1.6828968172681270384e-106j)  +/-  (2.36e-28, 1.02e-59j)
