Starting with polynomial:
P : 8*t^4 - 8*t^2 + 1
Extension levels are: 4 5
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Trying to find an order 5 Kronrod extension for:
P1 : 8*t^4 - 8*t^2 + 1
Solvable: 1
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Ending with final polynomial:
P : 8*t^9 - 20*t^7 + 17*t^5 - 11/2*t^3 + 1/2*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:
| (1 + 2.817681462947307062e-132j)  +/-  (9.3e-62, 9.3e-62j)
| (-1 + 6.0192169923801115216e-136j)  +/-  (1.07e-61, 1.07e-61j)
| (-0.92387953251128675613 + 6.0041017711380855719e-138j)  +/-  (1.1e-61, 1.1e-61j)
| (0.38268343236508977173 - 1.4389972246628537894e-146j)  +/-  (3.56e-63, 3.56e-63j)
| (0.92387953251128675613 - 4.7789313113929165894e-161j)  +/-  (1.43e-61, 1.43e-61j)
| (0.7071067811865475244 + 1.3898412728585669992e-174j)  +/-  (3.74e-62, 3.74e-62j)
| (-1.2802699283359071875e-181 - 4.0968637706749030002e-180j)  +/-  (3.69e-179, 3.69e-179j)
| (-0.7071067811865475244 + 1.8239139604050148352e-183j)  +/-  (3.74e-62, 3.74e-62j)
| (-0.38268343236508977173 - 1.2568711530953786391e-187j)  +/-  (3.56e-63, 3.56e-63j)
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The weights are:
| (0.0625 - 3.7862408508342425238e-132j)  +/-  (5.76e-24, 7.89e-54j)
| (0.0625 - 8.7238783664230000639e-134j)  +/-  (2.37e-24, 3.25e-54j)
| (0.125 + 1.8208208497223075067e-133j)  +/-  (2.16e-24, 2.96e-54j)
| (0.125 + 5.704965069500411681e-133j)  +/-  (5.21e-25, 7.13e-55j)
| (0.125 + 4.6269715418499815173e-132j)  +/-  (3.71e-25, 5.08e-55j)
| (0.125 - 1.2024771686180585876e-132j)  +/-  (1.84e-25, 2.52e-55j)
| (0.125 - 3.5213575500512918691e-133j)  +/-  (9.87e-26, 1.34e-55j)
| (0.125 - 2.0606652437447780272e-133j)  +/-  (2.56e-26, 3.59e-56j)
| (0.125 + 2.5460894872388466564e-133j)  +/-  (2.62e-26, 3.49e-56j)
