Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 4 8
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 4 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P3 : 4*t^9 - 142/3*t^7 + 1399/9*t^5 - 2965/18*t^3 + 295/6*t
Solvable: 1
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Ending with final polynomial:
P : 4*t^17 - 3059628507938/16753860777*t^15 + 159113012962007/50261582331*t^13 - 8081473967104151/301569493986*t^11 + 71537082906692561/603138987972*t^9 - 36627085158415339/134030886216*t^7 + 83781328830792607/268061772432*t^5 - 88756606077394045/536123544864*t^3 + 5750035763152135/178707848288*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: 1
  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
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The nodes are:
| (-2.2456732555148681046 + 7.7132036724529810982e-363j)  +/-  (8.07e-124, 8.07e-124j)
| (-3.3121706201791718697 + 1.4293884857147638909e-362j)  +/-  (6.2e-124, 6.2e-124j)
| (-2.6822224032999497583 - 2.2177274471890998285e-362j)  +/-  (1.06e-123, 1.06e-123j)
| (-5.6715954650561554524e-363 + 2.1552062767213390719e-363j)  +/-  (1.03e-361, 1.03e-361j)
| (1.0672470719421885588 - 3.2668389878723455406e-362j)  +/-  (9.68e-125, 9.68e-125j)
| (-1.0672470719421885588 - 3.392433810885639858e-367j)  +/-  (9.68e-125, 9.68e-125j)
| (-1.7320508075688772935 - 2.109453421947384478e-368j)  +/-  (2.44e-124, 2.44e-124j)
| (0.7071067811865475244 - 9.4654961241228790681e-370j)  +/-  (4.07e-125, 4.07e-125j)
| (-4.1373536398299946158 - 5.6271661660156003862e-375j)  +/-  (1.69e-124, 1.69e-124j)
| (-0.7071067811865475244 - 2.3769382008121069088e-373j)  +/-  (4.07e-125, 4.07e-125j)
| (-0.83127776868067864513 - 1.7086822461350052378e-376j)  +/-  (8.5e-125, 8.5e-125j)
| (0.83127776868067864513 + 6.3028850277896390544e-383j)  +/-  (9.11e-125, 9.11e-125j)
| (2.2456732555148681046 - 2.1875858908715487599e-403j)  +/-  (7.96e-124, 7.96e-124j)
| (4.1373536398299946158 - 8.9614751557734666363e-426j)  +/-  (1.5e-124, 1.5e-124j)
| (1.7320508075688772935 + 5.6287698332885492704e-446j)  +/-  (2.44e-124, 2.44e-124j)
| (3.3121706201791718697 - 5.4867495233525879045e-470j)  +/-  (6.09e-124, 6.09e-124j)
| (2.6822224032999497583 + 5.7984365319599470819e-482j)  +/-  (9.02e-124, 9.02e-124j)
-------------------------------------------------
The weights are:
| (0.0015587024182791669632 + 1.465242792620414815e-364j)  +/-  (1.66e-45, 1.56e-106j)
| (7.0382419279723863501e-06 + 3.2287531739455032453e-367j)  +/-  (1.34e-48, 1.27e-109j)
| (0.00021953473771057293717 - 2.9077847000359211186e-365j)  +/-  (4.51e-47, 4.25e-108j)
| (0.35598291617783353509 - 3.6849419559789641269e-363j)  +/-  (3.57e-43, 3.36e-104j)
| (0.18287110361162750879 + 4.1909783809998008563e-362j)  +/-  (4.75e-44, 4.48e-105j)
| (0.18287110361162750879 + 5.7467788690903441668e-363j)  +/-  (1.19e-43, 1.13e-104j)
| (0.016459619530099121395 - 4.3616159773223478428e-364j)  +/-  (2.45e-45, 2.31e-106j)
| (0.52731461699811279846 + 4.3046760336905728322e-362j)  +/-  (1.12e-43, 1.05e-104j)
| (1.9850617042183012248e-08 + 1.4726007789139752555e-369j)  +/-  (9.62e-51, 9.07e-112j)
| (0.52731461699811279846 + 1.8553157517145748667e-362j)  +/-  (3.87e-44, 3.65e-105j)
| (-0.40642209347729095066 - 2.1525558833659934249e-362j)  +/-  (3.27e-44, 3.08e-105j)
| (-0.40642209347729095066 - 8.4311594212699103143e-362j)  +/-  (4.56e-45, 4.3e-106j)
| (0.0015587024182791669632 - 9.4787715217451532816e-365j)  +/-  (7.82e-51, 7.37e-112j)
| (1.9850617042183012248e-08 + 5.5005560851043513971e-369j)  +/-  (4.94e-55, 4.66e-116j)
| (0.016459619530099121395 + 6.6616748560878016489e-364j)  +/-  (3.64e-50, 3.43e-111j)
| (7.0382419279723863501e-06 - 4.6733729002654885674e-367j)  +/-  (7.96e-54, 7.55e-115j)
| (0.00021953473771057293717 + 1.3087353093163662394e-365j)  +/-  (1.85e-52, 1.73e-113j)
