Starting with polynomial:
P : 64*t^6 - 80*t^4 + 24*t^2 - 1
Extension levels are: 6 7
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P1 : 64*t^6 - 80*t^4 + 24*t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^13 - 192*t^11 + 220*t^9 - 120*t^7 + 63/2*t^5 - 7/2*t^3 + 7/64*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
-------------------------------------------------
The nodes are:
| (0.97492791218182360702 - 1.2873467964455788583e-170j)  +/-  (6.97e-61, 6.97e-61j)
| (-0.97492791218182360702 - 2.4480158783304305099e-174j)  +/-  (7.38e-61, 7.38e-61j)
| (-0.90096886790241912624 + 2.1321428617716652828e-175j)  +/-  (1.36e-60, 1.36e-60j)
| (-0.22252093395631440429 + 3.5535714362861088047e-176j)  +/-  (3.31e-63, 3.31e-63j)
| (0.62348980185873353053 + 5.1775622101819775967e-182j)  +/-  (2.3e-61, 2.3e-61j)
| (0.78183148246802980871 - 5.3304803367884361927e-190j)  +/-  (8.36e-61, 8.36e-61j)
| (2.5107762769612816525e-200 + 1.69426366656736892e-200j)  +/-  (3.94e-199, 3.94e-199j)
| (-0.78183148246802980871 - 1.0146604460217323751e-202j)  +/-  (9.38e-61, 9.38e-61j)
| (-0.62348980185873353053 - 2.8499948063294607172e-205j)  +/-  (2.86e-61, 2.86e-61j)
| (0.43388373911755812048 + 5.5696041981303510455e-214j)  +/-  (3.19e-62, 3.19e-62j)
| (0.90096886790241912624 + 1.0235873626213420862e-219j)  +/-  (1.49e-60, 1.49e-60j)
| (0.22252093395631440429 + 7.8324369038301141028e-228j)  +/-  (3.31e-63, 3.31e-63j)
| (-0.43388373911755812048 - 1.4791761624517342573e-234j)  +/-  (3.76e-62, 3.76e-62j)
-------------------------------------------------
The weights are:
| (0.003536826146342174063 + 1.344713257445316384e-171j)  +/-  (3.08e-20, 7.9e-50j)
| (0.003536826146342174063 + 2.3105721029181429975e-173j)  +/-  (1.33e-20, 3.43e-50j)
| (0.013446792790759516767 - 9.1814559521051696707e-173j)  +/-  (1.07e-20, 2.76e-50j)
| (0.067891745282229254508 - 7.296438101461596899e-172j)  +/-  (2.37e-21, 6.07e-51j)
| (0.043661461927011228725 - 1.5992805677798229296e-171j)  +/-  (1.44e-21, 3.71e-51j)
| (0.027767109501560199847 + 1.8511510266068186254e-171j)  +/-  (9.64e-22, 2.47e-51j)
| (0.071428571428571428571 + 9.4297327591440312959e-172j)  +/-  (1.03e-21, 2.65e-51j)
| (0.027767109501560199847 + 2.030764010159490284e-172j)  +/-  (4.32e-22, 1.11e-51j)
| (0.043661461927011228725 - 3.5131045778636764568e-172j)  +/-  (2.78e-22, 7.16e-52j)
| (0.057981778637811911804 + 1.3794905974248982189e-171j)  +/-  (6.74e-23, 1.75e-52j)
| (0.013446792790759516767 - 2.340557682277199348e-171j)  +/-  (2.23e-23, 5.77e-53j)
| (0.067891745282229254508 - 1.1614512221269581898e-171j)  +/-  (5.08e-23, 1.32e-52j)
| (0.057981778637811911804 + 5.2954802020099268353e-172j)  +/-  (3.56e-23, 8.58e-53j)
