Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 7 20
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Trying to find an order 7 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 20 Kronrod extension for:
P2 : 3/2*t^9 - 151/50*t^7 + 1281/650*t^5 - 651/1430*t^3 + 56/2145*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^29 - 38088523035606372329691420071995395909967/3604732953003583797206419381991952192725*t^27 + 146468851414009861237072608232395607584610683/4404983668570379400186244484794165579509950*t^25 - 285016125197169696675353330136389057364661161/4621844403023075001426182674814801423424286*t^23 + 26380817952866870779825969278716761372685501249/352310593812258944426895833893837363049205801*t^21 - 86040532106595713981473723789209776587452609055/1375688985362153973476450399014031608096898842*t^19 + 1642947863301094626569901870786672439323474688017/44709892024270004137984637967956027263149212365*t^17 - 682538373671431110750890243469484851826545518039/44709892024270004137984637967956027263149212365*t^15 + 556526278177143942362489037073832653910635038393/125187697667956011586356986310276876336817794622*t^13 - 4271199445610653857980405813278119961235037042/4814911448767538907167576396549110628339145947*t^11 + 1287156537900091641711675188488566447036004876265/11045406863472734253042420253683659781410000802418*t^9 - 521366066708211213290885932854340011185466679959/55227034317363671265212101268418298907050004012090*t^7 + 128342341542152663668766918112839610937709254/303445243501998193764901655320979664324450571495*t^5 - 3932245356804471053630424567675419046805211/458104432125597273167657982871672525496267314386*t^3 + 1294245696243053076702989441330254233945304/26035601892471445025028562026540055199037859034271*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:
| (-0.9985734331923466931 + 1.6066397577850438797e-443j)  +/-  (1.55e-118, 1.55e-118j)
| (-0.96392874096524810675 - 2.6840006729107730669e-457j)  +/-  (3.05e-118, 3.05e-118j)
| (-0.92689157269311465836 - 3.4768521740128217449e-465j)  +/-  (1.72e-118, 1.72e-118j)
| (-4.8239665581554739722e-482 + 2.2025611669506514265e-481j)  +/-  (6.54e-480, 6.54e-480j)
| (0.92689157269311465836 - 7.7317894807517721142e-470j)  +/-  (1.88e-118, 1.88e-118j)
| (0.96392874096524810675 + 7.3547775607308299727e-470j)  +/-  (2.85e-118, 2.85e-118j)
| (0.9985734331923466931 + 5.5757077676899750453e-470j)  +/-  (1.46e-118, 1.46e-118j)
| (-0.87741019897171705299 + 2.3361562692732162064e-473j)  +/-  (7.2e-119, 7.2e-119j)
| (-0.98786180179615492351 + 1.5177626746340142932e-483j)  +/-  (3.58e-118, 3.58e-118j)
| (0.98786180179615492351 + 5.1107106796982985428e-490j)  +/-  (3.29e-118, 3.29e-118j)
| (0.87741019897171705299 + 2.3845252330435186879e-494j)  +/-  (7.93e-119, 7.93e-119j)
| (0.81641357233552832956 + 3.3959426827291546864e-496j)  +/-  (2.43e-119, 2.43e-119j)
| (-0.66484053768732027695 + 1.382641781230939531e-495j)  +/-  (1.33e-120, 1.33e-120j)
| (-0.74508170807163485788 + 3.4387982963753729809e-496j)  +/-  (6.45e-120, 6.45e-120j)
| (-0.19262176287680599048 - 9.566163400831386163e-505j)  +/-  (1.22e-125, 1.22e-125j)
| (0.74508170807163485788 + 2.6766387774348667235e-505j)  +/-  (6.61e-120, 6.61e-120j)
| (0.4844701706795229243 - 3.5188152657451260752e-508j)  +/-  (2.12e-122, 2.12e-122j)
| (0.095856026731708034484 - 8.7438864264239511227e-508j)  +/-  (7.15e-127, 7.15e-127j)
| (-0.81641357233552832956 - 5.1915835975024782968e-506j)  +/-  (2.6e-119, 2.6e-119j)
| (-0.38817106928816062228 - 2.6780821572488138426e-512j)  +/-  (2.01e-123, 2.01e-123j)
| (0.38817106928816062228 + 5.5820494781776702106e-514j)  +/-  (2e-123, 2e-123j)
| (0.66484053768732027695 + 4.0464049589266751919e-511j)  +/-  (1.33e-120, 1.33e-120j)
| (-0.095856026731708034484 + 3.8226053609441752305e-516j)  +/-  (7.15e-127, 7.15e-127j)
| (-0.4844701706795229243 - 3.6320740852703241589e-511j)  +/-  (2.23e-122, 2.23e-122j)
| (-0.57735026918962576451 + 3.9731621761703558331e-514j)  +/-  (1.74e-121, 1.74e-121j)
| (0.19262176287680599048 - 1.7563079472211684222e-518j)  +/-  (1.14e-125, 1.14e-125j)
| (0.57735026918962576451 - 1.0984124302877652507e-516j)  +/-  (1.99e-121, 1.99e-121j)
| (0.29036229308829455553 - 4.2227343815036769441e-520j)  +/-  (1.71e-124, 1.71e-124j)
| (-0.29036229308829455553 + 2.3358205139382417708e-518j)  +/-  (1.52e-124, 1.52e-124j)
-------------------------------------------------
The weights are:
| (0.0046342441175549296243 + 1.3135898475493580379e-443j)  +/-  (2.77e-28, 9.37e-85j)
| (0.030570121402526361615 + 8.3185497463512248766e-444j)  +/-  (1.58e-28, 5.36e-85j)
| (0.043392837525789832441 - 5.3151108312103271776e-444j)  +/-  (8.56e-29, 2.89e-85j)
| (0.095667479935307184132 + 6.1278922327497488259e-444j)  +/-  (1.62e-29, 5.48e-86j)
| (0.043392837525789832441 - 1.9787273826125818576e-445j)  +/-  (3.63e-30, 1.23e-86j)
| (0.030570121402526361615 + 1.468500771785626061e-445j)  +/-  (2.45e-30, 8.3e-87j)
| (0.0046342441175549296243 + 3.7280988052837701885e-446j)  +/-  (4.03e-31, 1.36e-87j)
| (0.055414926658382765291 + 4.0608501952227383456e-444j)  +/-  (1.15e-30, 3.87e-87j)
| (0.017246824818194553017 - 1.8367335604641093947e-443j)  +/-  (8.78e-30, 2.97e-86j)
| (0.017246824818194553017 - 9.9043817418087188602e-446j)  +/-  (5.56e-31, 1.88e-87j)
| (0.055414926658382765291 + 2.6227613871613864132e-445j)  +/-  (3.93e-32, 1.33e-88j)
| (0.066381598128964570841 - 3.5072471860697128584e-445j)  +/-  (8.19e-33, 2.77e-89j)
| (0.084160804447450225476 - 3.3312519587578443781e-444j)  +/-  (2.48e-34, 8.39e-91j)
| (0.07604431807203684172 + 3.2902601798065637499e-444j)  +/-  (5.08e-34, 1.72e-90j)
| (0.097330285584520916671 + 6.0533425578316132344e-444j)  +/-  (1.23e-35, 4.16e-92j)
| (0.07604431807203684172 + 4.7833640341893767171e-445j)  +/-  (1.58e-34, 5.33e-91j)
| (0.094920390301019962391 - 1.3941576478925770978e-444j)  +/-  (5.89e-36, 1.99e-92j)
| (0.096212660252276507208 - 5.2686779431701370577e-444j)  +/-  (8.1e-36, 2.74e-92j)
| (0.066381598128964570841 - 3.4945174189028406427e-444j)  +/-  (7.39e-35, 2.5e-91j)
| (0.097355018129089901596 + 4.6448274849235991174e-444j)  +/-  (1.41e-36, 4.77e-93j)
| (0.097355018129089901596 + 2.0445104860001821972e-444j)  +/-  (7.45e-37, 2.52e-93j)
| (0.084160804447450225476 - 6.6835338726001011063e-445j)  +/-  (1.63e-36, 5.5e-93j)
| (0.096212660252276507208 - 6.3875985049025371448e-444j)  +/-  (1.46e-36, 4.95e-93j)
| (0.094920390301019962391 - 4.0217534749539927474e-444j)  +/-  (2.52e-37, 8.52e-94j)
| (0.090508488413719513246 + 3.5784277249854217999e-444j)  +/-  (2.79e-37, 9.46e-94j)
| (0.097330285584520916671 + 4.0956356788340456915e-444j)  +/-  (5.3e-38, 1.8e-94j)
| (0.090508488413719513246 + 9.5646549778720015421e-445j)  +/-  (2.15e-38, 7.28e-95j)
| (0.097993742180819526796 - 2.9556884748368172187e-444j)  +/-  (3.42e-38, 1.17e-94j)
| (0.097993742180819526796 - 5.3793173465379008102e-444j)  +/-  (2.16e-38, 6.78e-95j)
