Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3 22
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Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 22 Kronrod extension for:
P2 : 3/2*t^5 - 25/14*t^3 + 3/7*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^27 - 25780551264439426689/2463357089651350900*t^25 + 28531476502037844803/876156197292210212*t^23 - 86890513642061023191869/1458800068491530002980*t^21 + 42451550984625626853581/597413361382245620268*t^19 - 118368312078136961423297/2041162318056005869249*t^17 + 2021921716254952262813513/61234869541680176077470*t^15 - 283386776449210543179103/21578001648020633474918*t^13 + 1357488952200127747899041/377615028840361085811065*t^11 - 4156628943981175835171141/6343932484518066241625892*t^9 + 158633137582788197290533/2114644161506022080541964*t^7 - 6623149570564835818490747/1357903643709938464576589740*t^5 + 1092273180186533512469419/7332679676033667708713584596*t^3 - 41649512135367462237091/30552831983473615452973269150*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:
| (0.97686334324981749884 - 4.7498852921871345074e-438j)  +/-  (2.45e-118, 2.45e-118j)
| (-0.92582009977255146157 - 7.3896141721559230473e-448j)  +/-  (7.08e-118, 7.08e-118j)
| (-0.83278328566596606969 + 1.3448932590489451678e-449j)  +/-  (3.74e-119, 3.74e-119j)
| (0.99558521448775231804 - 7.5914791833957878275e-449j)  +/-  (8.09e-119, 8.09e-119j)
| (0.92582009977255146157 + 1.9381553267566573161e-457j)  +/-  (7.28e-118, 7.28e-118j)
| (0.94429184403444977632 - 9.4416317366886614288e-475j)  +/-  (6.92e-118, 6.92e-118j)
| (-0.12280350596544623588 - 1.6609246687241916977e-491j)  +/-  (1e-126, 1e-126j)
| (-0.89371365723897395387 - 7.9340589128287624916e-481j)  +/-  (2.12e-118, 2.12e-118j)
| (-0.99558521448775231804 + 6.0976065174933995037e-483j)  +/-  (7.81e-119, 7.81e-119j)
| (-0.97686334324981749884 - 2.5203447573396514542e-485j)  +/-  (2.68e-118, 2.68e-118j)
| (0.89371365723897395387 + 3.0648163254225745452e-486j)  +/-  (2.17e-118, 2.17e-118j)
| (-0.36098836208653953109 + 8.7244132391164354758e-497j)  +/-  (3.69e-124, 3.69e-124j)
| (-0.94429184403444977632 - 1.1832414751296251919e-492j)  +/-  (6.39e-118, 6.39e-118j)
| (-0.75877376197282742004 - 1.0135380072011692661e-496j)  +/-  (5.98e-120, 5.98e-120j)
| (0.47275609458693452923 - 1.0726021502389795687e-499j)  +/-  (5.38e-123, 5.38e-123j)
| (0.83278328566596606969 - 7.3503646444118616895e-497j)  +/-  (3.51e-119, 3.51e-119j)
| (0.75877376197282742004 - 3.7506641860343871354e-501j)  +/-  (5.63e-120, 5.63e-120j)
| (0.36098836208653953109 - 4.2938388786215275754e-507j)  +/-  (4.08e-124, 4.08e-124j)
| (-0.67317898261342949979 + 1.1940829471056203902e-504j)  +/-  (7.33e-121, 7.33e-121j)
| (-0.24374447217995187862 - 2.7304616145091979019e-510j)  +/-  (2.31e-125, 2.31e-125j)
| (0.24374447217995187862 - 2.7040661116273186936e-509j)  +/-  (2.22e-125, 2.22e-125j)
| (0.57735026918962576451 + 1.9278176026627969555e-503j)  +/-  (7.49e-122, 7.49e-122j)
| (0.12280350596544623588 + 5.5243412378403757074e-510j)  +/-  (8.44e-127, 8.44e-127j)
| (-0.57735026918962576451 - 2.1524551014725095566e-506j)  +/-  (7.6e-122, 7.6e-122j)
| (-0.47275609458693452923 + 3.3510847036303383375e-507j)  +/-  (5.37e-123, 5.37e-123j)
| (1.9981971099488093634e-514 - 5.6171195087982813424e-515j)  +/-  (5.6e-513, 5.6e-513j)
| (0.67317898261342949979 - 1.8664044183233682241e-505j)  +/-  (7.37e-121, 7.37e-121j)
-------------------------------------------------
The weights are:
| (0.026032523954341812576 + 5.1361645942652839641e-438j)  +/-  (1.33e-29, 6.56e-86j)
| (0.0063077279159711061407 + 4.9558887722662260977e-439j)  +/-  (3.49e-30, 1.72e-86j)
| (0.067777058449196306785 + 1.6587671201663592222e-439j)  +/-  (3.48e-30, 1.71e-86j)
| (0.011317074763815266702 + 1.3828359792409659548e-438j)  +/-  (3.29e-30, 1.62e-86j)
| (0.0063077279159711061407 + 1.8473527286320275318e-437j)  +/-  (1.08e-30, 5.33e-87j)
| (0.03734222818576901565 - 1.9369701415215931909e-437j)  +/-  (1.91e-30, 9.4e-87j)
| (0.12218125415530419217 - 1.2889446245257347507e-439j)  +/-  (1.14e-33, 5.6e-90j)
| (0.053405325341472419045 - 3.1356371450497536568e-439j)  +/-  (7.6e-32, 3.74e-88j)
| (0.011317074763815266702 - 1.3125451127599897309e-440j)  +/-  (1.46e-33, 7.2e-90j)
| (0.026032523954341812576 + 6.3290072003374881776e-440j)  +/-  (2.89e-33, 1.42e-89j)
| (0.053405325341472419045 - 7.0540864422661993399e-438j)  +/-  (4.02e-34, 1.97e-90j)
| (0.11479636369031133024 - 1.1176448932080731521e-439j)  +/-  (7.4e-36, 3.64e-92j)
| (0.03734222818576901565 - 3.2839627891975650221e-439j)  +/-  (6.19e-33, 3.05e-89j)
| (0.080020129879408494663 - 1.2924226872596763123e-439j)  +/-  (8.64e-35, 4.25e-91j)
| (0.10845579835422022068 + 3.1237631305762462289e-439j)  +/-  (6.04e-37, 2.97e-93j)
| (0.067777058449196306785 + 2.0834127761490286955e-438j)  +/-  (7.48e-36, 3.68e-92j)
| (0.080020129879408494663 - 1.0285575122226992229e-438j)  +/-  (1.44e-36, 7.09e-93j)
| (0.11479636369031133024 - 2.4278354732300691042e-439j)  +/-  (8.31e-38, 4.09e-94j)
| (0.090945708367833504513 + 1.1484960955946901882e-439j)  +/-  (2.61e-37, 1.28e-93j)
| (0.11939446313818210194 + 1.1839896697282563869e-439j)  +/-  (5.31e-38, 2.61e-94j)
| (0.11939446313818210194 + 1.9712861055562253892e-439j)  +/-  (1.11e-38, 5.44e-95j)
| (0.1004669105592612252 - 4.2497260499469377767e-439j)  +/-  (1.05e-38, 5.16e-95j)
| (0.12218125415530419217 - 1.6596140131976602546e-439j)  +/-  (4.19e-39, 2.06e-95j)
| (0.1004669105592612252 - 1.0923988211993514885e-439j)  +/-  (2.44e-39, 1.2e-95j)
| (0.10845579835422022068 + 1.0862931305428471408e-439j)  +/-  (1.64e-39, 8.08e-96j)
| (0.1231148664898260074 + 1.4418508435734482856e-439j)  +/-  (7.15e-40, 3.53e-96j)
| (0.090945708367833504513 + 6.240252757345538132e-439j)  +/-  (6.32e-40, 2.84e-96j)
