Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 4 8
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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 8 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
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Ending with final polynomial:
P : 1/2*t^14 - 68468140728749609702307901414/964619745804684818260447607*t^13 + 20600186767010387827980038245807/4823098729023424091302238035*t^12 - 62848627435315304476222236435824/438463520820311281027476185*t^11 + 14332341208124551894228202778540628/4823098729023424091302238035*t^10 - 38445113137551123601775416867675024/964619745804684818260447607*t^9 + 1699500902117619342758314009148737464/4823098729023424091302238035*t^8 - 583344540317292221581923707434664448/283711689942554358311896355*t^7 + 37701118805892846728289810019171156032/4823098729023424091302238035*t^6 - 90929997175525446695981720898071303424/4823098729023424091302238035*t^5 + 26698671745265902487418309812405304960/964619745804684818260447607*t^4 - 22505109416438400686866500273739216896/964619745804684818260447607*t^3 + 10012609720901492737315377563765205504/964619745804684818260447607*t^2 - 1990224198838589536387090808487733248/964619745804684818260447607*t + 102334989400884431273257113370070016/964619745804684818260447607
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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:
| (35.666197846825004093 - 1.2429430200392815139e-263j)  +/-  (5.39e-122, 5.39e-122j)
| (27.295397058189914646 + 1.2765133088739499131e-267j)  +/-  (2.65e-121, 2.65e-121j)
| (12.486507079040894342 + 5.1861643391765243586e-284j)  +/-  (6.46e-121, 6.46e-121j)
| (16.361584164380751302 - 1.8100454337270495626e-306j)  +/-  (7.61e-121, 7.61e-121j)
| (9.3749209788307886478 - 1.4547612014149176647e-327j)  +/-  (4.18e-121, 4.18e-121j)
| (6.9239565457104964806 + 7.8595995886574557726e-343j)  +/-  (1.94e-121, 1.94e-121j)
| (21.177003774580905762 + 1.0377556244766521111e-350j)  +/-  (5.59e-121, 5.59e-121j)
| (3.4142135623730950488 + 2.0628999262084571307e-358j)  +/-  (1.75e-122, 1.75e-122j)
| (2.0821700356652283818 + 1.3647276587791374057e-364j)  +/-  (2.7e-123, 2.7e-123j)
| (1.0406748406401594478 - 5.5497447812365896126e-365j)  +/-  (4.14e-124, 4.14e-124j)
| (0.5857864376269049512 + 1.7064937298061533406e-368j)  +/-  (2.4e-124, 2.4e-124j)
| (0.47193845768537280597 + 2.985358037586820472e-375j)  +/-  (1.08e-124, 1.08e-124j)
| (5.0026199611283239038 + 3.3801142572810899685e-382j)  +/-  (6.33e-122, 6.33e-122j)
| (0.075849873488493830478 - 2.2357614255251999734e-389j)  +/-  (2.89e-127, 2.89e-127j)
-------------------------------------------------
The weights are:
| (3.3285353384573565466e-15 + 2.329973970246246754e-278j)  +/-  (2.02e-56, 3.73e-117j)
| (9.7759693945129451361e-12 - 4.995944050911531694e-277j)  +/-  (5.21e-55, 9.6e-116j)
| (1.3117373070157994307e-05 + 1.2946327920653807282e-273j)  +/-  (7.91e-52, 1.46e-112j)
| (3.375030452294359716e-07 - 1.3090024820586267941e-274j)  +/-  (4.14e-53, 7.64e-114j)
| (0.00023462530857679661601 - 9.5920626916399704813e-273j)  +/-  (2.68e-51, 4.97e-112j)
| (0.0021211728466181507102 + 5.186409558560585804e-272j)  +/-  (9.24e-51, 1.71e-111j)
| (3.4184768933087123341e-09 + 9.6100618191178843942e-276j)  +/-  (1.29e-54, 2.37e-115j)
| (0.048158023487919610728 + 5.6908390950542367205e-271j)  +/-  (9.44e-50, 1.73e-110j)
| (0.1484003762827616182 - 1.5429554017836001609e-270j)  +/-  (5.73e-49, 1.04e-109j)
| (0.3239343610368077263 + 6.4610043850801566114e-270j)  +/-  (3.62e-48, 6.54e-109j)
| (-0.27835703364550992031 - 2.463308665078288252e-269j)  +/-  (1.8e-48, 3.25e-109j)
| (0.55809714435031262897 + 2.0728295033225608037e-269j)  +/-  (1.27e-48, 2.3e-109j)
| (0.011592756396498589922 - 1.9625704543555783057e-271j)  +/-  (2.64e-51, 5.38e-112j)
| (0.1858051156316432202 - 1.429529129014126943e-270j)  +/-  (1.1e-49, 1.93e-110j)
