Starting with polynomial:
P : t^5 - 10*t^3 + 15*t
Extension levels are: 5 28
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Trying to find an order 28 Kronrod extension for:
P1 : t^5 - 10*t^3 + 15*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^33 - 2668184555150960/5694181252293*t^31 + 3279926688327901981/34165087513758*t^29 - 194036456835923898623/17082543756879*t^27 + 3278876910283308027057/3796120834862*t^25 - 84400838135911280269650/1898060417431*t^23 + 6039524897335551521424525/3796120834862*t^21 - 75910818399568049467595025/1898060417431*t^19 + 2681318263837747252760966925/3796120834862*t^17 - 16480462412064911583117494700/1898060417431*t^15 + 276864719577591816960878964375/3796120834862*t^13 - 772061223705703165889819789625/1898060417431*t^11 + 5485289089325937063762035320875/3796120834862*t^9 - 5846243541705288249984869663250/1898060417431*t^7 + 13658766741772306771864678806375/3796120834862*t^5 - 3715051778800047187119041799375/1898060417431*t^3 + 1249737051124921139803993595625/3796120834862*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: 0
  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:   33 out of 33
Indefinite weights: 0 out of 33
Negative weights:   0 out of 33
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-9.8999820187491655664 + 2.5927392497374125296e-450j)  +/-  (1.46e-121, 1.46e-121j)
| (-8.0323966965068784192 - 9.5890868977614184496e-461j)  +/-  (3.44e-120, 3.44e-120j)
| (-5.8893048052662558925 + 2.2548516599778046592e-473j)  +/-  (7.73e-120, 7.73e-120j)
| (-3.4332891231715217627 + 4.807826363533971577e-480j)  +/-  (2.91e-121, 2.91e-121j)
| (5.2466628599800043017 + 1.8021496813782030986e-480j)  +/-  (4.7e-120, 4.7e-120j)
| (-8.8816848867410934689 - 4.2030757897802398234e-479j)  +/-  (9.99e-121, 9.99e-121j)
| (-6.560193021207878987 + 5.3063107041409032777e-482j)  +/-  (7.86e-120, 7.86e-120j)
| (8.0323966965068784192 - 2.2689084470391913089e-488j)  +/-  (3.37e-120, 3.37e-120j)
| (7.2691186271198898719 - 1.617444120388011461e-488j)  +/-  (6.48e-120, 6.48e-120j)
| (8.8816848867410934689 + 1.2221872593053069015e-489j)  +/-  (1.01e-120, 1.01e-120j)
| (3.4332891231715217627 + 1.5353025570508952639e-491j)  +/-  (2.94e-121, 2.94e-121j)
| (-7.2691186271198898719 + 4.0337559316555575886e-489j)  +/-  (6.25e-120, 6.25e-120j)
| (-1.0287067963872811993 + 1.0561496251307952242e-495j)  +/-  (1.31e-124, 1.31e-124j)
| (-2.2947746031271373867 + 2.179134989169165607e-492j)  +/-  (1.44e-122, 1.44e-122j)
| (9.8999820187491655664 + 2.8740578771423334452e-491j)  +/-  (1.4e-121, 1.4e-121j)
| (4.0223842048722930579 + 1.6112686474330787901e-490j)  +/-  (9.53e-121, 9.53e-121j)
| (6.560193021207878987 + 9.7106499604420578337e-489j)  +/-  (7.98e-120, 7.98e-120j)
| (2.2947746031271373867 - 9.0986396750034059719e-493j)  +/-  (1.46e-122, 1.46e-122j)
| (-0.53586579309124037331 + 3.3065052273881492078e-495j)  +/-  (5.71e-126, 5.71e-126j)
| (5.8893048052662558925 - 7.0173644029043217855e-490j)  +/-  (7.86e-120, 7.86e-120j)
| (1.7615763185129315155 - 5.7241296482212605065e-493j)  +/-  (3.21e-123, 3.21e-123j)
| (1.0287067963872811993 + 4.4352182749236168252e-495j)  +/-  (1.31e-124, 1.31e-124j)
| (-4.0223842048722930579 - 6.7501662728155241253e-490j)  +/-  (9.39e-121, 9.39e-121j)
| (-1.7615763185129315155 - 8.1088842893654101369e-497j)  +/-  (3.09e-123, 3.09e-123j)
| (-2.8569700138728056542 + 5.0899935358058237747e-494j)  +/-  (7.12e-122, 7.12e-122j)
| (4.6258349072057877503 + 7.1776818077322644031e-496j)  +/-  (2.4e-120, 2.4e-120j)
| (-5.74847148542369613e-510 - 1.5029580516119101355e-510j)  +/-  (1.96e-508, 1.96e-508j)
| (-4.6258349072057877503 + 2.2819191429566821453e-495j)  +/-  (2.56e-120, 2.56e-120j)
| (1.3556261799742658658 - 3.00768339227279674e-511j)  +/-  (8.29e-124, 8.29e-124j)
| (-1.3556261799742658658 - 4.6395842390070880802e-510j)  +/-  (7.86e-124, 7.86e-124j)
| (-5.2466628599800043017 - 1.8343039566591277764e-509j)  +/-  (4.92e-120, 4.92e-120j)
| (2.8569700138728056542 + 8.3031630713395110519e-520j)  +/-  (6.61e-122, 6.61e-122j)
| (0.53586579309124037331 - 1.4063437320494669138e-523j)  +/-  (5.71e-126, 5.71e-126j)
-------------------------------------------------
The weights are:
| (2.4396041608201478749e-22 + 3.260909694892116773e-471j)  +/-  (2.13e-34, 2.64e-93j)
| (3.1129711879453987314e-15 + 1.853849518884362278e-468j)  +/-  (9.56e-32, 1.18e-90j)
| (7.6904520109749781613e-09 - 2.5804851364024448214e-465j)  +/-  (2.58e-28, 3.19e-87j)
| (0.00064070496728642394788 - 1.4985019372405737651e-462j)  +/-  (2.02e-22, 2.5e-81j)
| (2.650497688578419438e-07 + 5.1183980321535706098e-465j)  +/-  (8.57e-30, 1.06e-88j)
| (2.6980692923468681079e-18 - 8.1490410644185542847e-470j)  +/-  (1.93e-33, 2.38e-92j)
| (1.2395057558905017433e-10 + 3.141140416690694211e-466j)  +/-  (9.63e-30, 1.19e-88j)
| (3.1129711879453987314e-15 + 1.930711064159106149e-469j)  +/-  (3.25e-36, 4.03e-95j)
| (9.81020583659136463e-13 - 4.3958153919547469264e-468j)  +/-  (4e-35, 4.95e-94j)
| (2.6980692923468681079e-18 - 4.4182145993761693407e-471j)  +/-  (5.25e-38, 6.5e-97j)
| (0.00064070496728642394788 - 7.2677979256547513875e-463j)  +/-  (5.98e-29, 7.4e-88j)
| (9.81020583659136463e-13 - 2.8687229446440948085e-467j)  +/-  (5.62e-34, 6.96e-93j)
| (0.10022602808090219084 + 1.6256226879331181342e-460j)  +/-  (1.23e-19, 1.53e-78j)
| (0.015848267480003314307 - 1.7404016699098985766e-461j)  +/-  (2.27e-25, 2.81e-84j)
| (2.4396041608201478749e-22 + 3.1945799737090029521e-473j)  +/-  (4.03e-40, 4.98e-99j)
| (7.2898113219308499692e-05 + 1.6416967525224775668e-463j)  +/-  (3.93e-31, 4.86e-90j)
| (1.2395057558905017433e-10 + 6.3734117101275185577e-467j)  +/-  (3.87e-35, 4.79e-94j)
| (0.015848267480003314307 - 1.0853940149568444597e-461j)  +/-  (6.3e-29, 7.79e-88j)
| (0.18230195282936115015 - 1.2051166912116611101e-460j)  +/-  (4.17e-25, 5.15e-84j)
| (7.6904520109749781613e-09 - 6.5547568484573312927e-466j)  +/-  (2.61e-34, 3.22e-93j)
| (0.042296641535665041176 + 4.2254898377776833112e-461j)  +/-  (5.82e-28, 7.19e-87j)
| (0.10022602808090219084 + 1.3195861453827445313e-460j)  +/-  (1.66e-26, 2.05e-85j)
| (7.2898113219308499692e-05 + 3.8887150036541273645e-463j)  +/-  (2.17e-33, 2.68e-92j)
| (0.042296641535665041176 + 6.0547234441958477308e-461j)  +/-  (1.95e-29, 2.41e-88j)
| (0.0038397783212209596385 + 5.2169726026408882992e-462j)  +/-  (1.9e-31, 2.35e-90j)
| (5.5047039330243796896e-06 - 3.1849538027748682271e-464j)  +/-  (6.09e-34, 7.52e-93j)
| (0.21520119760291580236 + 1.0518574175209343229e-460j)  +/-  (5.44e-29, 6.74e-88j)
| (5.5047039330243796896e-06 - 8.7718551037754709425e-464j)  +/-  (7.83e-35, 9.68e-94j)
| (0.04716735230179510522 - 1.0871546053105367566e-460j)  +/-  (1.07e-30, 1.33e-89j)
| (0.04716735230179510522 - 1.4321250699856927416e-460j)  +/-  (8.39e-31, 1.05e-89j)
| (2.650497688578419438e-07 + 1.6660484947362635117e-464j)  +/-  (1.03e-35, 1.28e-94j)
| (0.0038397783212209596385 + 2.880249230019822993e-462j)  +/-  (5.58e-33, 6.64e-92j)
| (0.18230195282936115015 - 1.0813546724494239307e-460j)  +/-  (4.41e-31, 6e-90j)
