Starting with polynomial:
P : -t+1
Extension levels are: 1 3
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Trying to find an order 3 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Ending with final polynomial:
P : -t^4 + 49/4*t^3 - 153/4*t^2 + 57/2*t - 3/2
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (7.8232631436879996743 + 5.1542346341469476734e-52j)  +/-  (2.26e-51, 2.26e-51j)
| (1 - 2.4036439412511271442e-63j)  +/-  (2.45e-62, 2.45e-62j)
| (3.369839231310923141 - 2.2193744376829232312e-80j)  +/-  (3.76e-79, 3.76e-79j)
| (0.056897625001077184683 - 1.5173879336958873637e-96j)  +/-  (6.27e-96, 6.27e-96j)
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The weights are:
| (0.0024291259712280832595 - 6.258441494115490332e-55j)  +/-  (4.01e-32, 5.49e-53j)
| (0.5901639344262295082 - 2.8395939459486371056e-54j)  +/-  (2.07e-30, 2.04e-51j)
| (0.11097445421890710086 + 1.8975685188059878246e-54j)  +/-  (4.29e-31, 6.07e-52j)
| (0.29643248538363530768 + 1.5678695765541983142e-54j)  +/-  (1.55e-30, 1.46e-51j)
