Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 8 12
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Trying to find an order 8 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
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Trying to find an order 12 Kronrod extension for:
P2 : 5/2*t^11 - 10483/1482*t^9 + 1617/221*t^7 - 69993/20995*t^5 + 68299/109174*t^3 - 3633/109174*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^23 - 25371865499281358445058517/1648488665147930349939858*t^21 + 1159564774361366272607060815/28024307307514815948977586*t^19 - 469879528152004709122728113/7374817712503898933941470*t^17 + 1413067544795063119453318275217/22814866219244047104963695265*t^15 - 60068880458054618656331500087/1520991081282936473664246351*t^13 + 87506323793689230403903647697/5264969127517857024222391215*t^11 - 14301341456289756108781524335/3158981476510714214533434729*t^9 + 13341170441193955223008654817/17549897091726190080741304050*t^7 - 23895958931558081234811401611/333448044742797611534084776950*t^5 + 631561618372486948220183263/200068826845678566920450866170*t^3 - 47266142630959591500805357/1133723352125511879215888241630*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:
| (0.99750760639318964363 - 1.1487784786856911163e-258j)  +/-  (2.26e-119, 2.26e-119j)
| (-0.99750760639318964363 + 1.1179740664158278195e-276j)  +/-  (2.37e-119, 2.37e-119j)
| (-0.96698721654849048993 - 5.4880529962191265351e-277j)  +/-  (1.85e-119, 1.85e-119j)
| (-0.42982628683776222528 + 3.2068797335254229866e-284j)  +/-  (3.82e-124, 3.82e-124j)
| (0.96698721654849048993 + 1.2527389916547354603e-278j)  +/-  (2e-119, 2e-119j)
| (0.9225217132136291628 + 7.3111755215589854078e-295j)  +/-  (6.88e-120, 6.88e-120j)
| (1.9193700600662641833e-312 + 8.5837216458362802575e-312j)  +/-  (2.02e-310, 2.02e-310j)
| (-0.9225217132136291628 + 4.8961762722049767016e-307j)  +/-  (7.14e-120, 7.14e-120j)
| (-0.99079325588510780584 - 2.1581266737787114524e-306j)  +/-  (3.85e-119, 3.85e-119j)
| (-0.2919991541426287378 + 4.6848036989010694383e-313j)  +/-  (2.23e-125, 2.23e-125j)
| (0.85805232991808761223 - 1.4064146727393304128e-307j)  +/-  (1.75e-120, 1.75e-120j)
| (-0.14765115619613792876 - 3.2033028402416845794e-322j)  +/-  (1.08e-126, 1.08e-126j)
| (-0.67385724014661555763 - 3.7705996053639146187e-321j)  +/-  (5.33e-122, 5.33e-122j)
| (-0.77459666924148337704 - 1.8100562946796865983e-320j)  +/-  (3.5e-121, 3.5e-121j)
| (0.2919991541426287378 - 1.6560076877755469129e-319j)  +/-  (2.2e-125, 2.2e-125j)
| (0.77459666924148337704 - 2.0524660334154254406e-318j)  +/-  (3.3e-121, 3.3e-121j)
| (0.55806685067819680295 - 5.4092618278140892066e-335j)  +/-  (5.28e-123, 5.28e-123j)
| (0.99079325588510780584 - 7.5398032218142640299e-352j)  +/-  (3.41e-119, 3.41e-119j)
| (-0.85805232991808761223 - 4.7170983008102756496e-374j)  +/-  (1.91e-120, 1.91e-120j)
| (-0.55806685067819680295 - 6.9804310252179385053e-377j)  +/-  (5.54e-123, 5.54e-123j)
| (0.42982628683776222528 + 3.0454937836979317975e-377j)  +/-  (3.68e-124, 3.68e-124j)
| (0.67385724014661555763 - 2.7140461713692819063e-374j)  +/-  (5.89e-122, 5.89e-122j)
| (0.14765115619613792876 - 1.263507462773592201e-381j)  +/-  (1.08e-126, 1.08e-126j)
-------------------------------------------------
The weights are:
| (0.0044855683210994335186 + 1.1549955165178879035e-258j)  +/-  (6.04e-40, 2.69e-96j)
| (0.0044855683210994335186 + 2.5828997788725639243e-261j)  +/-  (2.67e-40, 1.19e-96j)
| (0.034281056711768008624 + 3.1930478959826773848e-261j)  +/-  (1.53e-40, 6.82e-97j)
| (0.13352954567274038045 + 1.4858260512000664727e-261j)  +/-  (1.01e-41, 4.5e-98j)
| (0.034281056711768008624 + 2.0552575157070784916e-259j)  +/-  (3.9e-41, 1.74e-97j)
| (0.054577682209883864461 - 6.0836971225359029071e-260j)  +/-  (2.26e-41, 1.01e-97j)
| (0.14820470766410736504 - 1.9264059740564029704e-261j)  +/-  (4.18e-42, 1.86e-98j)
| (0.054577682209883864461 - 2.3759609184545939743e-261j)  +/-  (1.1e-41, 4.92e-98j)
| (0.013095225043961996374 - 4.4471008335079959799e-261j)  +/-  (9.47e-41, 4.22e-97j)
| (0.14161300718655955423 - 1.5559377602474179171e-261j)  +/-  (8.58e-43, 3.82e-99j)
| (0.074192637706896077409 + 2.5701020308657818614e-260j)  +/-  (7.36e-44, 3.28e-100j)
| (0.14654559916872913661 + 1.6960890620148903909e-261j)  +/-  (4.69e-43, 2.09e-99j)
| (0.10867221158867394116 + 1.5362677818010975471e-261j)  +/-  (7.47e-44, 3.33e-100j)
| (0.092431718464954742433 - 1.6758767897528999941e-261j)  +/-  (6.31e-44, 2.81e-100j)
| (0.14161300718655955423 - 2.84389542664109107e-261j)  +/-  (3.38e-45, 1.51e-101j)
| (0.092431718464954742433 - 1.3322937234510171423e-260j)  +/-  (1.46e-45, 6.5e-102j)
| (0.12247339409267918221 - 5.2325742119664905347e-261j)  +/-  (4.04e-46, 1.79e-102j)
| (0.013095225043961996374 - 1.3169068864158120895e-258j)  +/-  (7.95e-45, 3.5e-101j)
| (0.074192637706896077409 + 1.9315694538873868351e-261j)  +/-  (3.67e-45, 1.6e-101j)
| (0.12247339409267918221 - 1.4781718455125136339e-261j)  +/-  (1.21e-45, 5.22e-102j)
| (0.13352954567274038045 + 3.7358458157196666832e-261j)  +/-  (2e-46, 8.82e-103j)
| (0.10867221158867394116 + 7.9334498988882812383e-261j)  +/-  (2.18e-46, 9.95e-103j)
| (0.14654559916872913661 + 2.2854345002004942955e-261j)  +/-  (1.8e-46, 7.47e-103j)
