Starting with polynomial:
P : t
Extension levels are: 1 16
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^17 - 136*t^15 + 7140*t^13 - 185640*t^11 + 2552550*t^9 - 18378360*t^7 + 64324260*t^5 - 91891800*t^3 + 34459425*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:
| (-5.7444600786594061813 + 1.5996863105054560013e-333j)  +/-  (1e-123, 1e-123j)
| (-4.7785315896299838271 - 1.9828484069386292156e-352j)  +/-  (1.16e-123, 1.16e-123j)
| (-6.8891224398953322326 - 4.3954864854185204756e-364j)  +/-  (3.23e-124, 3.23e-124j)
| (3.0737971753281935585 + 1.2305144961359742789e-369j)  +/-  (3.38e-124, 3.38e-124j)
| (5.7444600786594061813 + 8.319283702842374181e-373j)  +/-  (8.9e-124, 8.9e-124j)
| (6.8891224398953322326 - 6.2463619846916465059e-378j)  +/-  (4.64e-124, 4.64e-124j)
| (-3.0737971753281935585 + 6.6430563446065393788e-379j)  +/-  (3.79e-124, 3.79e-124j)
| (-1.5098833077967407591 - 2.4020141112003197616e-385j)  +/-  (1.8e-125, 1.8e-125j)
| (-2.2810194402529888954 + 1.6213595250602158391e-385j)  +/-  (1.3e-124, 1.3e-124j)
| (-3.0924978734211270124e-391 + 2.1991095988772458755e-390j)  +/-  (3.78e-389, 3.78e-389j)
| (0.75184260070389617074 + 1.2828139326783934274e-390j)  +/-  (2.3e-126, 2.3e-126j)
| (3.900065717198009909 + 5.5124347278522963279e-388j)  +/-  (8.04e-124, 8.04e-124j)
| (4.7785315896299838271 + 9.7870936025878404798e-396j)  +/-  (1.4e-123, 1.4e-123j)
| (-0.75184260070389617074 + 2.0000785287968445805e-402j)  +/-  (1.51e-126, 1.51e-126j)
| (-3.900065717198009909 - 2.6073205159344166217e-413j)  +/-  (8.72e-124, 8.72e-124j)
| (2.2810194402529888954 + 7.2794752034590621291e-425j)  +/-  (1.1e-124, 1.1e-124j)
| (1.5098833077967407591 - 1.5673873412010951276e-439j)  +/-  (2e-125, 2e-125j)
-------------------------------------------------
The weights are:
| (2.8080161179305686591e-08 + 1.2901899201828365552e-340j)  +/-  (5.29e-50, 8.05e-112j)
| (4.0126794479798523561e-06 - 5.5591307018036896952e-340j)  +/-  (4.86e-49, 7.41e-111j)
| (2.584314919374907689e-11 + 1.1905014844103637389e-342j)  +/-  (1.47e-51, 2.24e-113j)
| (0.0028589460622846210812 - 1.6253797438934935207e-339j)  +/-  (1.65e-48, 2.51e-110j)
| (2.8080161179305686591e-08 + 3.9098060409713015034e-342j)  +/-  (1.17e-52, 1.78e-114j)
| (2.584314919374907689e-11 - 1.0786506821787357947e-343j)  +/-  (6.06e-54, 9.23e-116j)
| (0.0028589460622846210812 - 5.3668385849802406292e-339j)  +/-  (2.01e-49, 3.06e-111j)
| (0.097406371162721133173 - 1.9756877074143614934e-338j)  +/-  (3.37e-47, 5.13e-109j)
| (0.023086657025710961025 + 1.1760002215642091717e-338j)  +/-  (1.4e-48, 2.13e-110j)
| (0.29953837012660542072 - 2.5539455975897024734e-338j)  +/-  (2.43e-47, 3.7e-109j)
| (0.22670630846897692753 + 1.9647177894813583552e-338j)  +/-  (1.56e-47, 2.38e-109j)
| (0.00016849143155133847317 + 3.6078016888524956875e-340j)  +/-  (1.15e-51, 1.76e-113j)
| (4.0126794479798523561e-06 - 5.1028480192488915515e-341j)  +/-  (1.58e-52, 2.41e-114j)
| (0.22670630846897692753 + 2.5564549049383890232e-338j)  +/-  (8.27e-49, 1.26e-110j)
| (0.00016849143155133847317 + 1.886556214957509612e-339j)  +/-  (2.48e-51, 3.78e-113j)
| (0.023086657025710961025 + 5.0750948258508578193e-339j)  +/-  (6.67e-51, 1.02e-112j)
| (0.097406371162721133173 - 1.1532678874721398244e-338j)  +/-  (1.78e-50, 2.65e-112j)
