Starting with polynomial:
P : -1/120*t^5 + 5/24*t^4 - 5/3*t^3 + 5*t^2 - 5*t + 1
Extension levels are: 5 10
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Trying to find an order 10 Kronrod extension for:
P1 : -1/120*t^5 + 5/24*t^4 - 5/3*t^3 + 5*t^2 - 5*t + 1
Solvable: 1
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Ending with final polynomial:
P : -1/120*t^15 + 24125925455475/15985778765768*t^14 - 2818735843365475/23978668148652*t^13 + 124484157226526725/23978668148652*t^12 - 41206882302314925/285460335103*t^11 + 5305308441249004355/1998222345721*t^10 - 9434069728320909050/285460335103*t^9 + 80001919404519681150/285460335103*t^8 - 3216417224803558592400/1998222345721*t^7 + 1756047719368892689200/285460335103*t^6 - 4327553496492192834720/285460335103*t^5 + 6540269333634064476000/285460335103*t^4 - 5598638202813663888000/285460335103*t^3 + 2382225603316738704000/285460335103*t^2 - 398982808635302304000/285460335103*t + 15571971090317433600/285460335103
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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
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The nodes are:
| (42.082241493032190602 - 5.7080787447847568739e-317j)  +/-  (1.15e-121, 1.15e-121j)
| (20.768759607929716354 - 4.0116447772446063775e-324j)  +/-  (2.85e-120, 2.85e-120j)
| (26.166060096294140661 + 9.7182001189919348795e-337j)  +/-  (1.93e-120, 1.93e-120j)
| (32.924140464483802129 + 2.4185772564776109768e-344j)  +/-  (7.32e-121, 7.32e-121j)
| (2.3978327936913731686 + 1.8580069071160189609e-352j)  +/-  (6.05e-123, 6.05e-123j)
| (0.68979049710456299874 + 1.3187290256372513012e-363j)  +/-  (6.29e-125, 6.29e-125j)
| (12.640800844275782659 - 1.1292674929511599117e-368j)  +/-  (2.08e-120, 2.08e-120j)
| (9.5830454309685981488 + 3.6253467107074146823e-387j)  +/-  (9.96e-121, 9.96e-121j)
| (5.1093662020833611698 - 2.200892077372943783e-402j)  +/-  (1.34e-121, 1.34e-121j)
| (16.32939107959597506 + 1.63408115447911814e-415j)  +/-  (2.73e-120, 2.73e-120j)
| (1.4134030591065167922 + 1.3624530498983197374e-421j)  +/-  (7.88e-124, 7.88e-124j)
| (3.5964257710407220812 - 6.2177472007727318743e-423j)  +/-  (3.79e-122, 3.79e-122j)
| (7.0858100058588375569 - 2.3828284047803746843e-431j)  +/-  (4.63e-121, 4.63e-121j)
| (0.05478465646059487875 + 6.3654781768398662365e-441j)  +/-  (1.87e-127, 1.87e-127j)
| (0.2635603197181409102 - 8.3222011278952800223e-441j)  +/-  (4.8e-126, 4.8e-126j)
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The weights are:
| (5.9374432794223320303e-18 + 1.7820151883555630928e-334j)  +/-  (1.98e-55, 1.11e-114j)
| (4.6564694071269251414e-09 - 1.1195227595871061673e-330j)  +/-  (1.2e-51, 6.71e-111j)
| (2.5893332075628410025e-11 + 8.1132201802891045204e-332j)  +/-  (5.16e-53, 2.9e-112j)
| (3.8591935269661340604e-14 - 3.9966260648452456471e-333j)  +/-  (2.16e-54, 1.21e-113j)
| (0.099199987054520148184 + 5.4920849575158886909e-326j)  +/-  (3.81e-44, 2.14e-103j)
| (0.28766772937108449989 + 1.1733490823320654944e-325j)  +/-  (3.82e-44, 2.14e-103j)
| (1.0870646383174518832e-05 - 8.5650188493811752745e-329j)  +/-  (8.86e-51, 4.97e-110j)
| (0.00019074514146859760005 + 5.1748707396976267528e-328j)  +/-  (4.52e-50, 2.54e-109j)
| (0.010440493909501206527 + 9.8477950255842420562e-327j)  +/-  (1.03e-48, 5.77e-108j)
| (3.2693805370779659154e-07 + 1.1251921747332655137e-329j)  +/-  (4.94e-52, 2.77e-111j)
| (0.21070113694906897437 - 8.704253733209203321e-326j)  +/-  (5.7e-47, 3.19e-106j)
| (0.036342626265227558418 - 2.7527508384027720236e-326j)  +/-  (2.18e-48, 1.22e-107j)
| (0.0018675810465218621018 - 2.5397781919825226034e-327j)  +/-  (1.01e-49, 5.66e-109j)
| (0.12713311124817025231 + 4.6523152741314122812e-326j)  +/-  (4.43e-48, 2.46e-107j)
| (0.2264453867475986812 - 1.1195892826540247852e-325j)  +/-  (9.01e-48, 4.97e-107j)
