Starting with polynomial:
P : -t+1
Extension levels are: 1 3 10
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Trying to find an order 3 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : -t^4 + 49/4*t^3 - 153/4*t^2 + 57/2*t - 3/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^14 + 1742149387847530432592609/10954018355668550030364*t^13 - 2609348537338187579971126331/240988403824708100668008*t^12 + 467775324874074966388068846639/1124612551181971136450704*t^11 - 1608153615892609086832604047883/160658935883138733778672*t^10 + 89118517705445199487219551267835/562306275590985568225352*t^9 - 949177463516978680125768871410435/562306275590985568225352*t^8 + 854262115174753818446079941284890/70288284448873196028169*t^7 - 588373656816788793921772476389610/10041183492696170861167*t^6 + 1852218533502397924531370897920740/10041183492696170861167*t^5 - 3635427779278221702983079298112100/10041183492696170861167*t^4 + 4111779398959050237163727948208600/10041183492696170861167*t^3 - 2336223158879042715292767224320200/10041183492696170861167*t^2 + 511716521126357362908285870279600/10041183492696170861167*t - 22272668006277642478752506324400/10041183492696170861167
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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:
| (38.166455204966375377 + 1.3238392955404727696e-272j)  +/-  (7.63e-122, 7.63e-122j)
| (23.174922963106151761 - 2.8729668491888762703e-273j)  +/-  (9.85e-121, 9.85e-121j)
| (18.116489721458131281 + 1.0299983754508084057e-281j)  +/-  (1.73e-120, 1.73e-120j)
| (13.980858882550892794 - 3.4945728581992391554e-291j)  +/-  (1.63e-120, 1.63e-120j)
| (29.534159649091176195 - 1.5879293816108568582e-296j)  +/-  (4.17e-121, 4.17e-121j)
| (2.0041795332009078404 + 1.7405661987409482304e-307j)  +/-  (1.81e-123, 1.81e-123j)
| (5.9572569843878017928 - 3.9065418142752565072e-330j)  +/-  (5.29e-121, 5.29e-121j)
| (7.8232631436879996743 + 9.314441596880048477e-348j)  +/-  (7.46e-121, 7.46e-121j)
| (10.577153300013620983 + 3.82101589788373098e-363j)  +/-  (1.22e-120, 1.22e-120j)
| (3.369839231310923141 + 2.4468845593255881799e-372j)  +/-  (2.01e-122, 2.01e-122j)
| (1 + 1.0015745495867086919e-378j)  +/-  (9.74e-125, 9.74e-125j)
| (0.35963763676453799134 - 6.4790577502579875069e-384j)  +/-  (5.46e-126, 5.46e-126j)
| (4.9209226886946323665 - 3.8656223417764087655e-391j)  +/-  (2.02e-121, 2.02e-121j)
| (0.056897625001077184683 + 4.2626673644982750121e-400j)  +/-  (2.23e-127, 2.23e-127j)
-------------------------------------------------
The weights are:
| (2.807977107697667987e-16 - 3.4361404739745628964e-287j)  +/-  (6.47e-55, 5.81e-115j)
| (4.8421498606867854996e-10 + 7.9194321931296051117e-283j)  +/-  (2.2e-52, 1.97e-112j)
| (6.1740926929956366841e-08 - 4.6645756590032376144e-282j)  +/-  (1.89e-51, 1.69e-111j)
| (3.1760791948661756044e-06 + 2.9244182361860786466e-281j)  +/-  (9.39e-51, 8.44e-111j)
| (1.0786646685497545682e-12 + 7.064976754942243158e-285j)  +/-  (4.87e-54, 4.38e-114j)
| (0.16018604923281894034 + 8.4148809971018926656e-279j)  +/-  (1.99e-45, 1.79e-105j)
| (0.0030022930736686300391 - 5.5722722317663928224e-279j)  +/-  (5.46e-49, 4.91e-109j)
| (0.00096600918930526065603 + 1.2174753673122275571e-279j)  +/-  (6.71e-50, 6.03e-110j)
| (7.8393919180130095844e-05 - 1.8791089713981033685e-280j)  +/-  (8.65e-51, 7.75e-111j)
| (0.052577472593954520202 - 7.8792961970804610116e-279j)  +/-  (4.92e-49, 4.34e-109j)
| (0.30176437774614143231 - 8.6527489784172775571e-279j)  +/-  (3.2e-48, 2.68e-108j)
| (0.32383726911527624118 + 7.052343238513742059e-279j)  +/-  (1.51e-48, 1.26e-108j)
| (0.0099235961617652647036 + 8.3886793042500126397e-279j)  +/-  (2.45e-49, 2.23e-109j)
| (0.14766130066247385281 - 2.8065291833114539054e-279j)  +/-  (7.66e-49, 6.31e-109j)
