Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 5
-------------------------------------------------
Trying to find an order 5 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^7 - 53/3*t^5 + 215/3*t^3 - 55*t
-------------------------------------------------
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
Positive weights:   7 out of 7
Indefinite weights: 0 out of 7
Negative weights:   0 out of 7
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (3.4833773961004847262 + 5.3743008860536710014e-138j)  +/-  (2.46e-62, 2.46e-62j)
| (-2.1290252659381178426 + 1.0496681418073576175e-140j)  +/-  (2.34e-62, 2.34e-62j)
| (-1 - 9.6099988568788844373e-145j)  +/-  (6.07e-63, 6.07e-63j)
| (-3.4833773961004847262 - 2.237502219360062023e-154j)  +/-  (2.46e-62, 2.46e-62j)
| (2.1290252659381178426 + 1.9407238137370535552e-172j)  +/-  (2.34e-62, 2.34e-62j)
| (1 + 9.1931147197833409032e-187j)  +/-  (6.07e-63, 6.07e-63j)
| (-1.6053291130432639451e-196 - 8.561755269564074374e-196j)  +/-  (6.1e-195, 6.1e-195j)
-------------------------------------------------
The weights are:
| (0.001428811839066749964 - 1.5160631821560604128e-140j)  +/-  (2.08e-30, 1.5e-61j)
| (0.050394506085946090303 + 1.2256985186481955869e-140j)  +/-  (1.56e-29, 1.13e-60j)
| (0.25423728813559322034 - 4.6165786959535514296e-140j)  +/-  (7.82e-29, 5.58e-60j)
| (0.001428811839066749964 - 1.0559172300988110028e-141j)  +/-  (8.2e-31, 5.97e-62j)
| (0.050394506085946090303 + 4.795863371371769077e-140j)  +/-  (7.4e-30, 5.05e-61j)
| (0.25423728813559322034 - 8.1251050209617014206e-140j)  +/-  (3.15e-29, 1.99e-60j)
| (0.38787878787878787879 + 8.3417767320612296993e-140j)  +/-  (2.48e-29, 2.03e-60j)
