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 9
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Trying to find an order 9 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^14 + 630035846581/524291592864*t^13 - 14842226222329/201650612640*t^12 + 21179159056139/8402108860*t^11 - 1168706186031505/21845483036*t^10 + 80556020627567989/109227415180*t^9 - 735639626017132389/109227415180*t^8 + 1114897981156484472/27306853795*t^7 - 4431253781369574936/27306853795*t^6 + 11231306886060577764/27306853795*t^5 - 3461630624570887524/5461370759*t^4 + 2996233735138195104/5461370759*t^3 - 1262784321733279968/5461370759*t^2 + 188646488106892704/5461370759*t - 2731807459122336/5461370759
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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:
| (27.532442987125322624 - 1.4324560294390670325e-373j)  +/-  (2.69e-121, 2.69e-121j)
| (21.376453006750519738 - 1.2498774739009971065e-379j)  +/-  (5.96e-121, 5.96e-121j)
| (7.0858100058588375569 - 5.7873234277119520623e-387j)  +/-  (2.63e-121, 2.63e-121j)
| (16.533343203504277175 + 9.6211777549243411699e-398j)  +/-  (7.66e-121, 7.66e-121j)
| (35.954676405957428881 + 1.9829257048559694402e-407j)  +/-  (5.48e-122, 5.48e-122j)
| (9.5251579906401413862 + 4.3698243595418707219e-416j)  +/-  (5.16e-121, 5.16e-121j)
| (12.640800844275782659 - 2.1824981459599142535e-431j)  +/-  (7.27e-121, 7.27e-121j)
| (0.016164262968590236822 - 1.0132442584365700888e-446j)  +/-  (4.02e-128, 4.02e-128j)
| (5.1777382646558372785 - 5.1518259679411778203e-467j)  +/-  (1.07e-121, 1.07e-121j)
| (3.5964257710407220812 + 1.8479770973779547258e-482j)  +/-  (2.6e-122, 2.6e-122j)
| (0.77616217392612010956 - 9.6662929230345970911e-487j)  +/-  (9.41e-125, 9.41e-125j)
| (1.4134030591065167922 - 2.6330138415333997952e-489j)  +/-  (8.39e-124, 8.39e-124j)
| (0.2635603197181409102 - 2.8833267117985237946e-493j)  +/-  (2.78e-126, 2.78e-126j)
| (2.3106347772255290763 - 2.3164283540179377189e-495j)  +/-  (5.09e-123, 5.09e-123j)
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The weights are:
| (7.7605600277603691011e-12 + 6.4593909649710677323e-385j)  +/-  (1.42e-54, 1.23e-114j)
| (2.8172379329554169474e-09 - 6.1014064962806130889e-384j)  +/-  (2.65e-53, 2.3e-113j)
| (0.0017902484816913419604 - 2.029875140283194818e-380j)  +/-  (7.74e-49, 6.72e-109j)
| (2.8574924540980270404e-07 + 6.2697830025328634716e-383j)  +/-  (1.75e-52, 1.52e-112j)
| (2.5095416093501478166e-15 + 1.3184925953300854764e-387j)  +/-  (4.67e-57, 4.05e-117j)
| (0.00020159601270229837244 + 3.9122544393782664115e-381j)  +/-  (5.97e-51, 5.17e-111j)
| (1.1279098084278701703e-05 - 5.5700714985926809064e-382j)  +/-  (7.34e-52, 6.37e-112j)
| (0.085276459639177166327 + 2.7102685831407991934e-379j)  +/-  (1.51e-48, 1.33e-108j)
| (0.0096910790347225034551 + 7.3707664724589250268e-380j)  +/-  (4.89e-50, 4.24e-110j)
| (0.039700245297893403929 - 2.0639115078138866e-379j)  +/-  (8e-50, 6.94e-110j)
| (0.27205041205275655544 + 9.7151409150904740501e-379j)  +/-  (6.89e-49, 6.05e-109j)
| (0.17408184786798921711 - 8.8684171518582489758e-379j)  +/-  (2.56e-49, 2.24e-109j)
| (0.30789312030529783531 - 7.0570913692169912131e-379j)  +/-  (3.56e-49, 3.24e-109j)
| (0.10930342363543898707 + 4.9957964877339091367e-379j)  +/-  (1.03e-49, 8.92e-110j)
