Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 4
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Trying to find an order 4 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
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Ending with final polynomial:
P : 1/2*t^6 - 162/13*t^5 + 101*t^4 - 4208/13*t^3 + 5436/13*t^2 - 2928/13*t + 552/13
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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:
| (12.486507079040894342 + 1.5477986551834572484e-135j)  +/-  (2.26e-61, 2.26e-61j)
| (6.9239565457104964806 - 9.4587695594544609625e-136j)  +/-  (4.77e-61, 4.77e-61j)
| (3.4142135623730950488 + 2.0993362836147152349e-140j)  +/-  (2.31e-61, 2.31e-61j)
| (0.47193845768537280597 + 4.2390178765219925045e-155j)  +/-  (1.04e-61, 1.04e-61j)
| (1.0406748406401594478 - 1.4066220268632514018e-176j)  +/-  (1.16e-61, 1.16e-61j)
| (0.5857864376269049512 + 7.5398241605889064567e-191j)  +/-  (1.93e-61, 1.93e-61j)
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The weights are:
| (2.7288533556335961714e-05 + 1.8169361567679507853e-140j)  +/-  (7.72e-31, 3.19e-61j)
| (0.0042572111505089950348 + 2.5007303486216135832e-138j)  +/-  (1.16e-29, 4.77e-60j)
| (0.092331998249178834251 - 9.1810562397406881314e-138j)  +/-  (1.06e-28, 4.38e-59j)
| (3.1015963797736691851 + 2.181920405197753538e-136j)  +/-  (3.77e-27, 1.53e-57j)
| (1.0527022268092954566 + 8.5130794426057161648e-137j)  +/-  (7.39e-28, 3.03e-58j)
| (-3.250915104516208807 - 2.966606784162811204e-136j)  +/-  (3.08e-27, 1.24e-57j)
