Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 10 13
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Trying to find an order 10 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 13 Kronrod extension for:
P2 : 3/2*t^12 - 3091/728*t^10 + 61875/13832*t^8 - 36135/16796*t^6 + 7755/16796*t^4 - 15543/436696*t^2 + 189/436696
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^25 - 124569197747464699015721812363475/13477109176722168565021387624216*t^23 + 6409271072453514349652499315088925/256065074357721202735406364860104*t^21 - 2118469852977395711221834934594957275/54102892139295665549380859089727688*t^19 + 10361501718568423504949753461823103725/264819419418657731373285257649719736*t^17 - 879876681494639589555861998601844325/33751494631789710861301062249474084*t^15 + 34462923696356009994506341669915992575/2936380032965704844933192415704245308*t^13 - 7199776115964096862113850565275171825/2032878484360872584953748595487554444*t^11 + 1100307167203723739794422921003189845/1581127710058456454964026685379209012*t^9 - 38032725490974083273027904816169975/451750774302416129989721910108345432*t^7 + 146141532071725536513862870289195851/25749794135237719409414148876175689624*t^5 - 25732288924351474799873167699464775/145915500099680409986680176964995574536*t^3 + 78294763639199830247933848118525/48638500033226803328893392321665191512*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:
| (-0.12172613438315505292 + 2.1028848917569114928e-281j)  +/-  (8.67e-127, 8.67e-127j)
| (-0.67496074056137039689 - 1.2951653336446615663e-282j)  +/-  (1.69e-121, 1.69e-121j)
| (-0.94848211528487274608 - 1.537056467093382798e-280j)  +/-  (1.3e-119, 1.3e-119j)
| (-0.90030150467747382532 - 1.8779105727420419648e-281j)  +/-  (8.09e-120, 8.09e-120j)
| (-0.99678794323997871635 - 5.3458352487465849567e-281j)  +/-  (6.57e-120, 6.57e-120j)
| (-0.98075725178499407913 - 1.4147363475929369541e-280j)  +/-  (1.54e-119, 1.54e-119j)
| (-0.83776596524493410785 - 5.6854056954782011131e-281j)  +/-  (3.09e-120, 3.09e-120j)
| (-1.1979836038472426869e-281 - 1.7839449133874013324e-280j)  +/-  (4.47e-279, 4.47e-279j)
| (-0.24198481528492212917 - 4.8518395553687683671e-284j)  +/-  (1.52e-125, 1.52e-125j)
| (-0.7622702556366203736 - 4.5486899460991522487e-287j)  +/-  (9.56e-121, 9.56e-121j)
| (-0.35909882564439703209 + 8.8632341553036812134e-286j)  +/-  (2.34e-124, 2.34e-124j)
| (-0.47142619912599849039 - 1.5246069464893057537e-286j)  +/-  (2.62e-123, 2.62e-123j)
| (-0.57735026918962576451 - 4.5357699495058319052e-287j)  +/-  (2.55e-122, 2.55e-122j)
| (0.99678794323997871635 - 1.6627663410810856588e-289j)  +/-  (6.37e-120, 6.37e-120j)
| (0.83776596524493410785 + 1.5548189551140402843e-316j)  +/-  (3.13e-120, 3.13e-120j)
| (0.98075725178499407913 - 2.4069710204907095695e-343j)  +/-  (1.57e-119, 1.57e-119j)
| (0.35909882564439703209 - 2.6975915852861561981e-360j)  +/-  (2.35e-124, 2.35e-124j)
| (0.94848211528487274608 + 3.1656001736938922717e-363j)  +/-  (1.44e-119, 1.44e-119j)
| (0.90030150467747382532 + 3.2733290204816262472e-374j)  +/-  (8.19e-120, 8.19e-120j)
| (0.7622702556366203736 - 7.6881772332040215927e-382j)  +/-  (8.7e-121, 8.7e-121j)
| (0.57735026918962576451 + 1.6411015733363032145e-385j)  +/-  (2.51e-122, 2.51e-122j)
| (0.47142619912599849039 - 6.194931827972597831e-388j)  +/-  (2.69e-123, 2.69e-123j)
| (0.24198481528492212917 - 7.5118809620131004978e-391j)  +/-  (1.58e-125, 1.58e-125j)
| (0.67496074056137039689 + 3.9248659350491271476e-392j)  +/-  (1.76e-121, 1.76e-121j)
| (0.12172613438315505292 + 6.6770460140680961812e-400j)  +/-  (8.42e-127, 8.42e-127j)
-------------------------------------------------
The weights are:
| (0.12125727655455718381 - 1.4507086432616073423e-280j)  +/-  (5.59e-25, 3.62e-83j)
| (0.092764785978679852075 - 4.1278281815094339067e-281j)  +/-  (3.31e-25, 2.15e-83j)
| (0.04045434101703110199 + 1.0420110629742239384e-280j)  +/-  (1e-25, 6.5e-84j)
| (0.055626961913017981776 + 5.9424538684134684408e-281j)  +/-  (8.99e-26, 5.83e-84j)
| (0.008636425905398379265 - 1.0034393117383450326e-280j)  +/-  (9.55e-27, 6.2e-85j)
| (0.023987736641894268161 - 8.1663266638257087452e-281j)  +/-  (1.9e-26, 1.23e-84j)
| (0.069210668039065891914 - 3.5254003063898327791e-281j)  +/-  (7.1e-27, 4.6e-85j)
| (0.12195589201840220314 - 4.7335120976820429583e-281j)  +/-  (1.02e-28, 6.64e-87j)
| (0.11897338363311233368 + 7.0227912697549035726e-281j)  +/-  (1.88e-28, 1.22e-86j)
| (0.08160420654676724648 + 7.9212265502887544904e-281j)  +/-  (9.8e-28, 6.36e-86j)
| (0.11498086182504271473 - 2.3414464996572425466e-281j)  +/-  (7e-29, 4.54e-87j)
| (0.10941314341403329776 - 2.0673609239130864534e-282j)  +/-  (3.82e-29, 2.48e-87j)
| (0.1021122625221986468 + 2.1883605095977078866e-281j)  +/-  (5.19e-29, 3.37e-87j)
| (0.008636425905398379265 - 1.3786882734078290497e-282j)  +/-  (4.27e-35, 2.77e-93j)
| (0.069210668039065891914 - 1.4782620144327812434e-281j)  +/-  (3.19e-35, 2.07e-93j)
| (0.023987736641894268161 + 4.1391263184459715229e-282j)  +/-  (2e-35, 1.3e-93j)
| (0.11498086182504271473 + 7.165855513773781368e-281j)  +/-  (2.86e-35, 1.86e-93j)
| (0.04045434101703110199 - 7.0403946992408217574e-282j)  +/-  (9.58e-36, 6.22e-94j)
| (0.055626961913017981776 + 1.0463745423908386119e-281j)  +/-  (5.73e-36, 3.72e-94j)
| (0.08160420654676724648 + 2.0251839667234852586e-281j)  +/-  (9.7e-37, 6.3e-95j)
| (0.1021122625221986468 + 3.6945130262474497707e-281j)  +/-  (1.86e-37, 1.22e-95j)
| (0.10941314341403329776 - 5.0686359717213309873e-281j)  +/-  (1.85e-37, 1.22e-95j)
| (0.11897338363311233368 - 1.0898724854728849973e-280j)  +/-  (9.42e-38, 6.23e-96j)
| (0.092764785978679852075 - 2.7327449931335463766e-281j)  +/-  (5.61e-38, 3.45e-96j)
| (0.12125727655455718381 + 2.0822223013959241057e-280j)  +/-  (8.96e-38, 6.1e-96j)
