Starting with polynomial:
P : t
Extension levels are: 1 28
-------------------------------------------------
Trying to find an order 28 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^29 - 406/57*t^27 + 23751/1045*t^25 - 475020/11077*t^23 + 910455/17119*t^21 - 780390/17119*t^19 + 1170585/42347*t^17 - 208104/17437*t^15 + 390195/107113*t^13 - 3381690/4391633*t^11 + 476905/4391633*t^9 - 1560780/162490421*t^7 + 78039/162490421*t^5 - 20010/1787394631*t^3 + 30015/387864634927*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: 0
  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
-------------------------------------------------
The nodes are:
| (-0.98254550526141317487 + 2.0334575501405464846e-338j)  +/-  (3.21e-118, 3.21e-118j)
| (-0.9572855957780877258 - 8.8750456152111719701e-353j)  +/-  (3.35e-118, 3.35e-118j)
| (-0.99667944226059658616 - 3.8589818629679799424e-364j)  +/-  (1.16e-118, 1.16e-118j)
| (8.5660298370529726239e-386 + 2.5838452549127984771e-386j)  +/-  (2.59e-384, 2.59e-384j)
| (0.92118023295305878509 + 1.121844140981790084e-373j)  +/-  (2.51e-118, 2.51e-118j)
| (0.9572855957780877258 - 3.8459831960097349089e-372j)  +/-  (3.66e-118, 3.66e-118j)
| (0.99667944226059658616 + 1.7144492100695675918e-373j)  +/-  (1.23e-118, 1.23e-118j)
| (-0.87463780492010279042 - 1.4743775182020007816e-372j)  +/-  (1.52e-118, 1.52e-118j)
| (-0.92118023295305878509 + 4.4433598466089157342e-378j)  +/-  (2.63e-118, 2.63e-118j)
| (0.98254550526141317487 + 3.6581104221540967885e-381j)  +/-  (3.06e-118, 3.06e-118j)
| (0.87463780492010279042 + 1.4274934484832767182e-382j)  +/-  (1.36e-118, 1.36e-118j)
| (0.81818548761525244499 - 8.289465083521793431e-384j)  +/-  (5.29e-119, 5.29e-119j)
| (-0.67821453760268651516 + 1.3177011468698703138e-381j)  +/-  (2.68e-120, 2.68e-120j)
| (-0.81818548761525244499 + 2.1886667375213191389e-384j)  +/-  (4.74e-119, 4.74e-119j)
| (-0.21135228616600107451 + 2.1904029773898716267e-399j)  +/-  (1.81e-125, 1.81e-125j)
| (0.75246285173447713391 - 1.3464087771883326598e-394j)  +/-  (1.38e-119, 1.38e-119j)
| (0.5075929551242276421 - 1.4857258598833322249e-397j)  +/-  (4.23e-122, 4.23e-122j)
| (0.10627823013267923017 + 6.5783807428895066824e-402j)  +/-  (1.02e-126, 1.02e-126j)
| (-0.75246285173447713391 - 2.524181206565224971e-395j)  +/-  (1.3e-119, 1.3e-119j)
| (-0.41315288817400866389 + 1.2604790362448785581e-403j)  +/-  (4.24e-123, 4.24e-123j)
| (0.41315288817400866389 + 8.3282800127970561942e-404j)  +/-  (4.58e-123, 4.58e-123j)
| (0.67821453760268651516 + 8.5329438229173305613e-401j)  +/-  (2.59e-120, 2.59e-120j)
| (-0.10627823013267923017 - 2.6017459434006271675e-407j)  +/-  (8.02e-127, 8.02e-127j)
| (-0.5075929551242276421 + 1.1084122340812828431e-401j)  +/-  (4.52e-122, 4.52e-122j)
| (-0.59628179713822782038 + 4.0048243270603324894e-406j)  +/-  (4.28e-121, 4.28e-121j)
| (0.21135228616600107451 + 1.214460657312112813e-414j)  +/-  (1.66e-125, 1.66e-125j)
| (0.59628179713822782038 - 2.6105504384405568166e-409j)  +/-  (4.11e-121, 4.11e-121j)
| (0.31403163786763993495 + 3.4252007323029793435e-413j)  +/-  (2.81e-124, 2.81e-124j)
| (-0.31403163786763993495 - 1.2861499193248776626e-412j)  +/-  (2.82e-124, 2.82e-124j)
-------------------------------------------------
The weights are:
| (0.019732085056122705984 + 1.1392795887145083314e-338j)  +/-  (2.93e-28, 1.02e-84j)
| (0.030740492202093622644 - 3.0817277716982935391e-338j)  +/-  (1.52e-28, 5.32e-85j)
| (0.0085169038787464096543 + 8.1638269474446128144e-339j)  +/-  (1.15e-28, 4e-85j)
| (0.10647938171831424425 - 5.0996041289775427879e-339j)  +/-  (1.39e-29, 4.85e-86j)
| (0.041402062518682836105 + 6.3865249343720596343e-340j)  +/-  (3.26e-30, 1.14e-86j)
| (0.030740492202093622644 - 4.0129351737702746217e-340j)  +/-  (2.25e-30, 7.84e-87j)
| (0.0085169038787464096543 - 5.8299091213397862185e-341j)  +/-  (3.32e-31, 1.16e-87j)
| (0.051594826902497923913 - 1.5669278482553470908e-338j)  +/-  (1.14e-30, 3.99e-87j)
| (0.041402062518682836105 + 1.9812821548674803508e-338j)  +/-  (4.06e-30, 1.42e-86j)
| (0.019732085056122705984 + 2.0418574571115125627e-340j)  +/-  (4.46e-31, 1.56e-87j)
| (0.051594826902497923913 - 9.1043021859520333847e-340j)  +/-  (4.7e-32, 1.64e-88j)
| (0.061203090657079138542 + 1.2129072187324000707e-339j)  +/-  (1.02e-32, 3.56e-89j)
| (0.078238327135763783828 + 1.0371150997118935264e-338j)  +/-  (2.67e-34, 9.31e-91j)
| (0.061203090657079138542 + 1.3288630967157174344e-338j)  +/-  (2.74e-33, 9.57e-90j)
| (0.10407331007772937391 - 6.2782645894815675165e-339j)  +/-  (1.37e-35, 4.78e-92j)
| (0.07011793325505127857 - 1.5435260426150392711e-339j)  +/-  (2.83e-34, 9.87e-91j)
| (0.091737757139258763348 + 2.6891064265522600138e-339j)  +/-  (1.02e-35, 3.56e-92j)
| (0.10587615509732094141 + 4.5627978660676717568e-339j)  +/-  (7.89e-36, 2.75e-92j)
| (0.07011793325505127857 - 1.1639428449413152962e-338j)  +/-  (8.59e-35, 3e-91j)
| (0.096963834094408606302 - 7.6472712726811611309e-339j)  +/-  (2.3e-36, 8.02e-93j)
| (0.096963834094408606302 - 3.1197999682520401691e-339j)  +/-  (1.07e-36, 3.72e-93j)
| (0.078238327135763783828 + 1.9004927486362038877e-339j)  +/-  (3.43e-36, 1.2e-92j)
| (0.10587615509732094141 + 5.6695973447714643708e-339j)  +/-  (1.43e-36, 5e-93j)
| (0.091737757139258763348 + 8.4369289292547076595e-339j)  +/-  (4.61e-37, 1.61e-93j)
| (0.085472257366172527545 - 9.3299433105158661659e-339j)  +/-  (6.22e-37, 2.17e-93j)
| (0.10407331007772937391 - 4.0554184067182700594e-339j)  +/-  (5.62e-38, 1.97e-94j)
| (0.085472257366172527545 - 2.2825919555745991482e-339j)  +/-  (3.19e-38, 1.12e-94j)
| (0.10109127375991496612 + 3.5749486158929021119e-339j)  +/-  (2.92e-38, 1.02e-94j)
| (0.10109127375991496612 + 6.9335834143546978366e-339j)  +/-  (2.32e-38, 7.69e-95j)
