Starting with polynomial:
P : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Extension levels are: 7 8
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Trying to find an order 8 Kronrod extension for:
P1 : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Solvable: 1
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Ending with final polynomial:
P : 429/16*t^15 - 27225/272*t^13 + 13131495/87856*t^11 - 1188386485/10454864*t^9 + 3595718907495/77669184656*t^7 - 107404612029/11095597808*t^5 + 9905616105/11095597808*t^3 - 264663405/11095597808*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:
| (0.99145537112081263921 + 5.8654948848218965433e-200j)  +/-  (1.41e-59, 1.41e-59j)
| (-0.2077849550078984676 + 5.3491406986210246499e-213j)  +/-  (4.64e-63, 4.64e-63j)
| (-0.74153118559939443986 - 1.5516917295991158013e-210j)  +/-  (4.81e-60, 4.81e-60j)
| (0.40584515137739716691 - 1.4997319637673914013e-212j)  +/-  (8.45e-62, 8.45e-62j)
| (0.94910791234275852453 + 1.8038091463011496919e-210j)  +/-  (2.67e-59, 2.67e-59j)
| (0.74153118559939443986 + 1.0674168201983216725e-215j)  +/-  (4.91e-60, 4.91e-60j)
| (-0.40584515137739716691 - 5.1231239112281023673e-220j)  +/-  (8.74e-62, 8.74e-62j)
| (-0.86486442335976907279 - 1.234280372181454014e-217j)  +/-  (1.74e-59, 1.74e-59j)
| (-0.94910791234275852453 + 2.2505089716012480733e-219j)  +/-  (2.73e-59, 2.73e-59j)
| (0.58608723546769113029 - 1.0266131698588207157e-221j)  +/-  (8.45e-61, 8.45e-61j)
| (0.86486442335976907279 + 1.4381877487116099215e-230j)  +/-  (1.63e-59, 1.63e-59j)
| (3.0836645911576852042e-235 + 3.2556618193497473272e-235j)  +/-  (6.73e-234, 6.73e-234j)
| (-0.99145537112081263921 - 2.6171098241704172627e-232j)  +/-  (1.34e-59, 1.34e-59j)
| (-0.58608723546769113029 - 1.791381845411075593e-235j)  +/-  (9.14e-61, 9.14e-61j)
| (0.2077849550078984676 + 9.658047481487863349e-239j)  +/-  (4.64e-63, 4.64e-63j)
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The weights are:
| (0.022935322010529224964 - 6.2276328895825280025e-200j)  +/-  (7.87e-19, 2.53e-47j)
| (0.20443294007529889241 - 9.9988329116964376733e-201j)  +/-  (3.02e-19, 9.69e-48j)
| (0.14065325971552591875 + 4.7063813878051555277e-201j)  +/-  (9.96e-20, 3.2e-48j)
| (0.19035057806478540991 + 1.9178658913918694514e-200j)  +/-  (1.15e-19, 3.69e-48j)
| (0.063092092629978553291 + 9.1959959668315108605e-200j)  +/-  (1.13e-19, 3.63e-48j)
| (0.14065325971552591875 + 3.2634279307877096384e-200j)  +/-  (6.3e-20, 2.03e-48j)
| (0.19035057806478540991 + 8.0377975095967713662e-201j)  +/-  (5.64e-20, 1.82e-48j)
| (0.10479001032225018384 - 3.3110958121692357315e-201j)  +/-  (4.31e-21, 1.39e-49j)
| (0.063092092629978553291 + 2.0067733092525226141e-201j)  +/-  (1.07e-21, 3.44e-50j)
| (0.16900472663926790283 - 2.4454224996622613863e-200j)  +/-  (1.34e-20, 4.25e-49j)
| (0.10479001032225018384 - 4.8553650981227781549e-200j)  +/-  (1.42e-20, 4.53e-49j)
| (0.20948214108472782801 + 1.2333596271144729587e-200j)  +/-  (2.8e-21, 9.05e-50j)
| (0.022935322010529224964 - 6.784320196230656993e-202j)  +/-  (1.44e-22, 4.72e-51j)
| (0.16900472663926790283 - 6.2838008632861491413e-201j)  +/-  (8e-22, 2.64e-50j)
| (0.20443294007529889241 - 1.5301079887459514916e-200j)  +/-  (1.02e-21, 3.03e-50j)
