Starting with polynomial:
P : t
Extension levels are: 1 4 8 16
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : t^5 - 10*t^3 + 15*t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P3 : t^13 - 170/3*t^11 + 3251/3*t^9 - 8652*t^7 + 29631*t^5 - 41790*t^3 + 19215*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^29 - 42089393394686530251326/139527960992289822237*t^27 + 895873287982445463318218581/23022113563727820669105*t^25 - 195347741650439324822853990556/69066340691183462007315*t^23 + 8876737578247005811868386501051/69066340691183462007315*t^21 - 88217550694764034042247326662266/23022113563727820669105*t^19 + 352601232147804563918755868779777/4604422712745564133821*t^17 - 23723960538896647700251983599610392/23022113563727820669105*t^15 + 14202892543910658710228117364411877/1534807570915188044607*t^13 - 7566461182199792723609235514300354/139527960992289822237*t^11 + 27837716764475429834380073083743739/139527960992289822237*t^9 - 876099666373540673457118398434580/2022144362207098873*t^7 + 23393352488929388152056163419837621/46509320330763274079*t^5 - 12223121550963078278390259709418010/46509320330763274079*t^3 + 1939616588277833633824116159509265/46509320330763274079*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:
| (1.8550647122034955328 - 3.9773455587922780897e-296j)  +/-  (2.7e-123, 2.7e-123j)
| (-7.4864221421841139264 - 2.1053767312214283358e-300j)  +/-  (1.42e-121, 1.42e-121j)
| (-5.1842688974446196437 + 2.9837380318030826003e-299j)  +/-  (6.65e-121, 6.65e-121j)
| (3.3670765570176223152 - 6.2433877853461431725e-300j)  +/-  (1.51e-121, 1.51e-121j)
| (5.1842688974446196437 - 9.3389959801375284132e-300j)  +/-  (6.69e-121, 6.69e-121j)
| (-8.5208067499579084735 - 5.3800199922026215308e-301j)  +/-  (2.3e-122, 2.3e-122j)
| (7.4864221421841139264 + 3.5268293108799062596e-300j)  +/-  (1.38e-121, 1.38e-121j)
| (-4.5384619604771806268 + 7.9753254668228320555e-300j)  +/-  (5.64e-121, 5.64e-121j)
| (-3.3670765570176223152 - 9.8550450777334046702e-300j)  +/-  (1.5e-121, 1.5e-121j)
| (4.5384619604771806268 - 1.1283666387007469639e-299j)  +/-  (5.65e-121, 5.65e-121j)
| (5.8765080517792008309 + 1.2204724496364278775e-299j)  +/-  (6.28e-121, 6.28e-121j)
| (-1.3556261799742658658 - 1.0470051220082986799e-300j)  +/-  (3.63e-124, 3.63e-124j)
| (-2.3674845842071009289 + 1.2175604153751405968e-304j)  +/-  (1.48e-122, 1.48e-122j)
| (-3.9309600114055574643 - 1.1320932424631366412e-308j)  +/-  (3.84e-121, 3.84e-121j)
| (8.5208067499579084735 + 7.2722472345461550052e-313j)  +/-  (2.57e-122, 2.57e-122j)
| (-5.8765080517792008309 - 6.3779766491147707339e-310j)  +/-  (6.98e-121, 6.98e-121j)
| (6.6330167480974032464 - 4.9034680863414706669e-312j)  +/-  (4.16e-121, 4.16e-121j)
| (-6.6330167480974032464 + 5.3885430616824383852e-312j)  +/-  (4.01e-121, 4.01e-121j)
| (-1.8550647122034955328 - 6.3142637254910384327e-312j)  +/-  (2.44e-123, 2.44e-123j)
| (3.9309600114055574643 - 5.4070544280866021795e-320j)  +/-  (3.6e-121, 3.6e-121j)
| (0.9467370109606977334 + 4.2706232289449027629e-332j)  +/-  (4.87e-125, 4.87e-125j)
| (2.8569700138728056542 + 5.1923306851801638685e-348j)  +/-  (6.09e-122, 6.09e-122j)
| (-0.51788513552847522941 - 1.3129743501604999872e-361j)  +/-  (5.09e-126, 5.09e-126j)
| (-0.9467370109606977334 - 1.4219372525747092886e-370j)  +/-  (5.15e-125, 5.15e-125j)
| (-2.3028589686899705618e-380 - 7.1453194168698152012e-381j)  +/-  (6.99e-379, 6.99e-379j)
| (-2.8569700138728056542 - 5.6094475315110998308e-390j)  +/-  (5.77e-122, 5.77e-122j)
| (0.51788513552847522941 + 1.4568787905566471114e-392j)  +/-  (5.09e-126, 5.09e-126j)
| (2.3674845842071009289 - 3.5022208405286413956e-401j)  +/-  (1.35e-122, 1.35e-122j)
| (1.3556261799742658658 - 5.5069034710968306414e-411j)  +/-  (3.6e-124, 3.6e-124j)
-------------------------------------------------
The weights are:
| (0.037023840575093941127 + 2.5924125337774325803e-297j)  +/-  (3.49e-24, 4.19e-85j)
| (2.4822237682499410358e-13 - 1.3114675009513509786e-306j)  +/-  (1.83e-41, 2.2e-102j)
| (3.8790073469446402676e-07 + 1.9732900256700628224e-302j)  +/-  (3.33e-37, 3.99e-98j)
| (0.00073977416063591983754 + 3.5298497052932313721e-299j)  +/-  (9.36e-33, 1.12e-93j)
| (3.8790073469446402676e-07 - 4.1598202751857375867e-302j)  +/-  (3.87e-38, 4.65e-99j)
| (8.1780676637025954844e-17 + 9.451966153299838078e-309j)  +/-  (1.03e-43, 1.23e-104j)
| (2.4822237682499410358e-13 + 2.1763076886442349808e-306j)  +/-  (4.38e-43, 5.26e-104j)
| (8.412807290520406759e-06 - 2.0576014598574934565e-301j)  +/-  (4.34e-37, 5.21e-98j)
| (0.00073977416063591983754 - 1.0236532956067797242e-299j)  +/-  (5.96e-35, 7.15e-96j)
| (8.412807290520406759e-06 + 4.9095585399511944111e-301j)  +/-  (1.14e-37, 1.37e-98j)
| (9.1154030040601388754e-09 + 2.5795336576769749614e-303j)  +/-  (2.06e-40, 2.47e-101j)
| (0.073523678154449134012 - 1.096198944730220746e-297j)  +/-  (9.98e-30, 1.2e-90j)
| (0.012090363742594227662 - 1.4004242994334084892e-298j)  +/-  (9.75e-34, 1.17e-94j)
| (0.0001034520120717422609 + 1.6509506334451839813e-300j)  +/-  (5.59e-37, 6.72e-98j)
| (8.1780676637025954844e-17 - 1.4717027675943006556e-308j)  +/-  (2.58e-46, 3.1e-107j)
| (9.1154030040601388754e-09 - 1.3407049623219970856e-303j)  +/-  (2.75e-41, 3.3e-102j)
| (8.8880800933677487779e-11 - 1.0325423974597666612e-304j)  +/-  (5.08e-43, 6.1e-104j)
| (8.8880800933677487779e-11 + 5.8090152424557208643e-305j)  +/-  (7.75e-43, 9.3e-104j)
| (0.037023840575093941127 + 3.9694830265444540745e-298j)  +/-  (5.96e-36, 7.14e-97j)
| (0.0001034520120717422609 - 4.6083520954803752264e-300j)  +/-  (3.86e-39, 4.64e-100j)
| (0.097163868810179192561 + 6.2723877337631533253e-297j)  +/-  (1.79e-35, 2.14e-96j)
| (0.0032945517119965995279 - 2.0847592503637895914e-298j)  +/-  (3.47e-38, 4.16e-99j)
| (0.16986664164669874815 - 2.5439615603138987027e-297j)  +/-  (5.46e-35, 6.48e-96j)
| (0.097163868810179192561 + 2.0339770693808842677e-297j)  +/-  (2.4e-35, 2.85e-96j)
| (0.21237003854744634167 + 3.031618475632211499e-297j)  +/-  (2.26e-35, 2.69e-96j)
| (0.0032945517119965995279 + 4.43702343303843408e-299j)  +/-  (9e-38, 1.07e-98j)
| (0.16986664164669874815 - 4.5140365032501968136e-297j)  +/-  (5.35e-36, 6.36e-97j)
| (0.012090363742594227662 + 1.1535611464639965366e-297j)  +/-  (5.49e-38, 6.66e-99j)
| (0.073523678154449134012 - 7.0449292202929985852e-297j)  +/-  (3.27e-37, 3.68e-98j)
