Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 4 10
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Trying to find an order 4 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : 1/2*t^6 - 162/13*t^5 + 101*t^4 - 4208/13*t^3 + 5436/13*t^2 - 2928/13*t + 552/13
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^16 - 292173063381769188885659143176073462259/3233736358401636464284029595530107466*t^15 + 8866894761251573693934378407659476061234/1257564139378414180554900398261708459*t^14 - 3550220871252920459520106539306074017801921/11318077254405727624994103584355376131*t^13 + 100166363188257100477947302941243354556549182/11318077254405727624994103584355376131*t^12 - 209766727991552871863682238835156525876481164/1257564139378414180554900398261708459*t^11 + 8137008982201049549362926677975977100014487648/3772692418135242541664701194785125377*t^10 - 73051081580364610933615910473842399932391551960/3772692418135242541664701194785125377*t^9 + 152069324525843486802280375149415709416440936720/1257564139378414180554900398261708459*t^8 - 656334955729348503046908570854592834628400379840/1257564139378414180554900398261708459*t^7 + 275502609574692963704057818176693334896222754560/179652019911202025793557199751672637*t^6 - 41331785206859293652485295067938984078733425280/13819386147015540445658246134744049*t^5 + 668922240324468528432584568967005648143178105600/179652019911202025793557199751672637*t^4 - 38584414923100472377180413606184989424955251200/13819386147015540445658246134744049*t^3 + 207266831782331883505437263205993622296083251200/179652019911202025793557199751672637*t^2 - 39870930308786943679627682387490513007745817600/179652019911202025793557199751672637*t + 94293679777327017406001399042331467007436800/7810957387443566338850313032681419
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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:
| (41.336430897906414932 - 1.9929575235096308265e-351j)  +/-  (1.56e-121, 1.56e-121j)
| (25.802290690543672001 + 3.2159056170005783361e-353j)  +/-  (2.85e-120, 2.85e-120j)
| (16.132717357070836163 - 1.1417132140521001994e-363j)  +/-  (4.66e-120, 4.66e-120j)
| (32.415505474838449452 - 7.9538690701041929455e-369j)  +/-  (9.89e-121, 9.89e-121j)
| (20.503910788681979456 + 1.8271680761537858274e-372j)  +/-  (3.86e-120, 3.86e-120j)
| (6.9239565457104964806 + 5.3803736149613867188e-388j)  +/-  (9.38e-121, 9.38e-121j)
| (3.4142135623730950488 + 9.4730401095461405799e-406j)  +/-  (6.22e-121, 6.22e-121j)
| (12.486507079040894342 - 4.560560762541717373e-412j)  +/-  (3.35e-120, 3.35e-120j)
| (9.4435785681315218495 + 8.8487359379860770159e-420j)  +/-  (1.8e-120, 1.8e-120j)
| (0.47193845768537280597 - 7.1534975430961697424e-424j)  +/-  (1.74e-124, 1.74e-124j)
| (0.5857864376269049512 + 5.6568234820440708446e-425j)  +/-  (4.19e-124, 4.19e-124j)
| (0.085130145647505373789 + 4.6437499884163716103e-426j)  +/-  (5.94e-127, 5.94e-127j)
| (4.8714963512227154779 - 1.3865314061484053082e-431j)  +/-  (4.56e-121, 4.56e-121j)
| (1.9750759367269661939 + 2.3426867250720090597e-450j)  +/-  (1.29e-122, 1.29e-122j)
| (3.2138689975508876321 - 9.0072953076549706742e-466j)  +/-  (5.81e-121, 5.81e-121j)
| (1.0406748406401594478 - 3.0708542364165215833e-475j)  +/-  (1.04e-123, 1.04e-123j)
-------------------------------------------------
The weights are:
| (1.2155200557384823661e-17 + 2.6317077355199013542e-368j)  +/-  (1.12e-55, 3.37e-115j)
| (3.6518911196255770094e-11 - 6.9870522033638417183e-364j)  +/-  (6.71e-53, 2.01e-112j)
| (3.9257436913577246605e-07 - 4.2695818860044548822e-362j)  +/-  (8.71e-51, 2.61e-110j)
| (6.269095124723007625e-14 - 4.3994136300230362533e-366j)  +/-  (1.33e-54, 3.98e-114j)
| (5.9662242540450688726e-09 + 5.0760430773178267345e-363j)  +/-  (5.23e-52, 1.56e-111j)
| (0.0022415156420897803185 + 2.039232745953483366e-359j)  +/-  (1.18e-48, 3.54e-108j)
| (0.0053412091333886079833 + 3.8051037438817740004e-357j)  +/-  (1.42e-46, 4.24e-106j)
| (1.2572927255860496059e-05 + 3.5679214158337706203e-361j)  +/-  (7.32e-51, 2.19e-110j)
| (0.00021940127261483696428 - 2.7408287535585904825e-360j)  +/-  (4.87e-50, 1.46e-109j)
| (0.44349005139658748027 - 9.865362455230884945e-357j)  +/-  (2.05e-45, 6.13e-105j)
| (-0.15214969908016276437 + 1.230315479640170101e-356j)  +/-  (1.66e-45, 4.94e-105j)
| (0.20098636827186413429 + 6.0198571572500202839e-358j)  +/-  (3.43e-46, 1.03e-105j)
| (0.014046604142885009515 - 1.8100604987125154329e-358j)  +/-  (1.8e-48, 5.39e-108j)
| (0.15040078094289887 + 1.8281418103883021312e-357j)  +/-  (1.14e-47, 3.42e-107j)
| (0.051624992339552704829 - 4.4109476312017227949e-357j)  +/-  (1.85e-47, 5.56e-107j)
| (0.28378580443385047559 - 4.0990398980863798914e-357j)  +/-  (3.71e-47, 1.09e-106j)
