Starting with polynomial:
P : t
Extension levels are: 1 2 4 14
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P3 : t^7 - 77/45*t^5 + 749/891*t^3 - 31/297*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^21 - 3154018538165635741/615710013135283035*t^19 + 15784144210354208674072/1401971699909039470695*t^17 - 531848177167294518650266/38348049438688432580775*t^15 + 777993620830108091277232/74139562248130969656165*t^13 - 115588780310935249587724/23008829663213059548465*t^11 + 274874270248970502583382/181978925518139652792405*t^9 - 635706267685701386834374/2325286270509562230125175*t^7 + 11707428706438598797703/430608568612881894467625*t^5 - 8607252137819757485089/6975858811528686690375525*t^3 + 20717832634270166122/1275156987053630900391225*t
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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:
| (-0.99238096841138344403 + 6.0939197839452370239e-297j)  +/-  (1.11e-121, 1.11e-121j)
| (0.96049126870802028342 - 1.7415301958363540481e-313j)  +/-  (3.26e-121, 3.26e-121j)
| (-0.84098794480630742479 + 2.2582088633272947006e-332j)  +/-  (3e-121, 3e-121j)
| (-0.14550237437644367558 - 5.245603251527766957e-340j)  +/-  (7.82e-127, 7.82e-127j)
| (0.84098794480630742479 - 1.0931812736374866512e-337j)  +/-  (2.81e-121, 2.81e-121j)
| (0.77459666924148337704 - 2.4383329213269059607e-342j)  +/-  (1.44e-121, 1.44e-121j)
| (0.99238096841138344403 - 3.8120323090235074344e-356j)  +/-  (1.18e-121, 1.18e-121j)
| (-0.90651084093286148696 - 3.7119957211046883431e-367j)  +/-  (3.6e-121, 3.6e-121j)
| (-0.77459666924148337704 - 1.4689104150618429047e-378j)  +/-  (1.44e-121, 1.44e-121j)
| (0.434243749346802558 - 3.1552238095464356556e-384j)  +/-  (2.21e-124, 2.21e-124j)
| (0.90651084093286148696 + 8.7170138871628669717e-386j)  +/-  (3.63e-121, 3.63e-121j)
| (0.14550237437644367558 + 1.0579183243665470825e-385j)  +/-  (7.82e-127, 7.82e-127j)
| (-0.434243749346802558 - 2.120621911220251052e-384j)  +/-  (2.29e-124, 2.29e-124j)
| (-0.56789569574543535488 + 2.4923242120608786589e-384j)  +/-  (3.18e-123, 3.18e-123j)
| (1.387185735906356464e-388 + 4.5216900387747871183e-388j)  +/-  (9.93e-387, 9.93e-387j)
| (0.68484897563095490129 - 1.2573294594622378436e-388j)  +/-  (2.97e-122, 2.97e-122j)
| (0.56789569574543535488 + 5.2035972735599731102e-387j)  +/-  (2.99e-123, 2.99e-123j)
| (-0.96049126870802028342 + 6.833270107038952285e-394j)  +/-  (3.16e-121, 3.16e-121j)
| (-0.68484897563095490129 + 2.8777258964209853094e-406j)  +/-  (2.78e-122, 2.78e-122j)
| (-0.29141576534034486946 - 1.372396124039534592e-412j)  +/-  (1.36e-125, 1.36e-125j)
| (0.29141576534034486946 - 1.0581628407837322807e-411j)  +/-  (1.54e-125, 1.54e-125j)
-------------------------------------------------
The weights are:
| (0.019485668937456339407 + 8.4860020404983121311e-297j)  +/-  (4.85e-44, 4.19e-103j)
| (0.043832842464698566743 - 2.5268599845500575543e-298j)  +/-  (1.71e-44, 1.48e-103j)
| (0.065183885324167174876 - 1.8755814085475675985e-296j)  +/-  (1.21e-44, 1.05e-103j)
| (0.14594128450395786274 - 4.1957628367536918595e-297j)  +/-  (2.31e-45, 2e-104j)
| (0.065183885324167174876 - 1.5487877993912939621e-297j)  +/-  (7.76e-45, 6.71e-104j)
| (0.073736372866981307717 + 2.1439571982394403112e-297j)  +/-  (4.95e-45, 4.28e-104j)
| (0.019485668937456339407 + 5.9827882245393921117e-299j)  +/-  (1.61e-45, 1.39e-104j)
| (0.062526765948809474705 + 1.5447092282903489764e-296j)  +/-  (3.96e-46, 3.42e-105j)
| (0.073736372866981307717 + 1.7394846367775118207e-296j)  +/-  (3.43e-46, 2.96e-105j)
| (0.13935761878410274037 - 2.1609779945230030913e-297j)  +/-  (1.56e-46, 1.35e-105j)
| (0.062526765948809474705 + 6.9853573383071416396e-298j)  +/-  (1.57e-45, 1.35e-104j)
| (0.14594128450395786274 - 3.1227293681867135991e-297j)  +/-  (7.3e-47, 6.31e-106j)
| (0.13935761878410274037 - 5.5235603651103471548e-297j)  +/-  (1.86e-47, 1.61e-106j)
| (0.12673897876588569129 + 7.3436424112890045514e-297j)  +/-  (1.16e-47, 1e-106j)
| (0.14521721917375075605 + 3.7113272099160462897e-297j)  +/-  (3.5e-47, 3.02e-106j)
| (0.10533078178711567331 - 2.0897867927430020102e-297j)  +/-  (2.24e-47, 1.93e-106j)
| (0.12673897876588569129 + 1.9978944266283828854e-297j)  +/-  (1.31e-47, 1.13e-106j)
| (0.043832842464698566743 - 1.5474070802853492639e-296j)  +/-  (4.88e-49, 4.28e-108j)
| (0.10533078178711567331 - 1.1397360494962546402e-296j)  +/-  (2.24e-48, 1.96e-107j)
| (0.14525719102994979081 + 4.6819964691266036443e-297j)  +/-  (1.25e-48, 1.12e-107j)
| (0.14525719102994979081 + 2.5564145160022665908e-297j)  +/-  (1.04e-48, 8e-108j)
