Starting with polynomial:
P : t
Extension levels are: 1 4 12
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Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P2 : t^5 - 10*t^3 + 15*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^17 - 6536/53*t^15 + 617205/106*t^13 - 7144995/53*t^11 + 172854825/106*t^9 - 539111430/53*t^7 + 3204996795/106*t^5 - 1892565675/53*t^3 + 1129052925/106*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
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   17 out of 17
Indefinite weights: 0 out of 17
Negative weights:   0 out of 17
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.5407393558732796134 + 1.3936100581676484327e-273j)  +/-  (1.75e-123, 1.75e-123j)
| (6.6454015073373845862 - 2.2113631104344162307e-275j)  +/-  (4.36e-124, 4.36e-124j)
| (3.6699364715253227764 + 4.1317620297199163271e-280j)  +/-  (1.49e-123, 1.49e-123j)
| (-2.8569700138728056542 - 7.1649018870320776813e-291j)  +/-  (5.35e-124, 5.35e-124j)
| (5.5024926885277373775 - 9.1228028198795256707e-307j)  +/-  (1.27e-123, 1.27e-123j)
| (-5.5024926885277373775 - 9.4235543411492642246e-328j)  +/-  (1.34e-123, 1.34e-123j)
| (-4.5407393558732796134 - 1.0298774393922912575e-345j)  +/-  (2.07e-123, 2.07e-123j)
| (-1.3556261799742658658 + 9.0129473042664964345e-354j)  +/-  (2.12e-125, 2.12e-125j)
| (-6.6454015073373845862 - 6.5655971705488624787e-356j)  +/-  (4.56e-124, 4.56e-124j)
| (-0.66258025043351322197 + 5.0178646853719227504e-359j)  +/-  (2.23e-126, 2.23e-126j)
| (2.0871529758705234569 + 3.48462825373050191e-361j)  +/-  (1.37e-124, 1.37e-124j)
| (2.8569700138728056542 + 5.5829767859146530235e-365j)  +/-  (5.33e-124, 5.33e-124j)
| (-2.0871529758705234569 - 3.063609236602271127e-372j)  +/-  (1.32e-124, 1.32e-124j)
| (-3.6699364715253227764 - 8.4166574456459204446e-383j)  +/-  (1.35e-123, 1.35e-123j)
| (-2.3457169054690622672e-388 - 7.9754374785948117084e-388j)  +/-  (1.41e-386, 1.41e-386j)
| (0.66258025043351322197 - 3.284003667656687174e-388j)  +/-  (2.23e-126, 2.23e-126j)
| (1.3556261799742658658 - 5.8642922636726556679e-390j)  +/-  (2.04e-125, 2.04e-125j)
-------------------------------------------------
The weights are:
| (1.2076533949689914486e-05 - 4.2001726424572061663e-278j)  +/-  (3.56e-49, 1.7e-110j)
| (1.344044218066926386e-10 + 1.752706927972445429e-281j)  +/-  (3.16e-52, 1.5e-113j)
| (0.00039784498229017553549 + 1.3662949630833502556e-277j)  +/-  (1.95e-48, 9.31e-110j)
| (0.0053218865869766367599 - 7.3319914205164274711e-278j)  +/-  (6.61e-49, 3.15e-110j)
| (1.0917856858649718771e-07 - 1.3564894227286907776e-279j)  +/-  (6.95e-51, 3.31e-112j)
| (1.0917856858649718771e-07 + 1.2988166968686782332e-280j)  +/-  (2e-53, 9.52e-115j)
| (1.2076533949689914486e-05 - 1.8530960054860908527e-279j)  +/-  (2.03e-52, 9.67e-114j)
| (0.11337826973038211872 - 6.8233241361571250216e-277j)  +/-  (7.14e-48, 3.4e-109j)
| (1.344044218066926386e-10 - 3.2955185112917453183e-282j)  +/-  (4.93e-55, 2.35e-116j)
| (0.21611367001209787041 + 1.3062012843248468558e-276j)  +/-  (2.17e-48, 1.04e-109j)
| (0.033909363500583475586 + 7.0581412890901318539e-277j)  +/-  (3.54e-50, 1.68e-111j)
| (0.0053218865869766367599 - 3.2214229632759758906e-277j)  +/-  (7.76e-51, 3.69e-112j)
| (0.033909363500583475586 + 2.6128156360378950955e-277j)  +/-  (1.48e-50, 7.06e-112j)
| (0.00039784498229017553549 + 1.4489994418137491936e-278j)  +/-  (4.24e-52, 2.03e-113j)
| (0.26173355868149404954 - 1.7909263883811694646e-276j)  +/-  (1.38e-49, 6.82e-111j)
| (0.21611367001209787041 + 1.7525368842667104155e-276j)  +/-  (3.83e-50, 1.95e-111j)
| (0.11337826973038211872 - 1.2631651406688571104e-276j)  +/-  (1.81e-50, 8.01e-112j)
