Starting with polynomial:
P : 6435/128*t^8 - 3003/32*t^6 + 3465/64*t^4 - 315/32*t^2 + 35/128
Extension levels are: 8 18
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Trying to find an order 18 Kronrod extension for:
P1 : 6435/128*t^8 - 3003/32*t^6 + 3465/64*t^4 - 315/32*t^2 + 35/128
Solvable: 1
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Ending with final polynomial:
P : 6435/128*t^26 - 75523229234793483/227454293416832*t^24 + 131269447510723104363/135221577436306624*t^22 - 1118281326831180707517/676107887181533120*t^20 + 5916289071570332846382131/3252078937343174307200*t^18 - 21982324550946546260931849/16260394686715871536000*t^16 + 6173146862815314252690099/8943217077693729344800*t^14 - 5149433311946782426747731/21326133031423508437600*t^12 + 12743570755797032157318441/224893766513193361705600*t^10 - 1922272710111398807426487/224893766513193361705600*t^8 + 2160608743522380018607453/2811172081414917021320000*t^6 - 20227771288499889686019/562234416282983404264000*t^4 + 745781267930311264071/1124468832565966808528000*t^2 - 6852688637206535123/3373406497697900425584000
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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:
| (-0.99843953716012535043 - 5.6034525846314653489e-452j)  +/-  (3.44e-119, 3.44e-119j)
| (-0.98665770922054563323 - 1.5948815021090805934e-453j)  +/-  (6.95e-119, 6.95e-119j)
| (-0.96028985649753623168 - 9.4856098091839004788e-455j)  +/-  (5.68e-119, 5.68e-119j)
| (0.99843953716012535043 - 2.3738207120762832448e-452j)  +/-  (3.13e-119, 3.13e-119j)
| (0.8645787506602366333 + 6.7457097998771013195e-467j)  +/-  (1.25e-119, 1.25e-119j)
| (0.79666647741362673959 - 4.2782181625147763693e-470j)  +/-  (4e-120, 4e-120j)
| (0.98665770922054563323 + 9.3351297227362814366e-469j)  +/-  (7.03e-119, 7.03e-119j)
| (-0.91939674306445143056 + 7.0686102325541759877e-486j)  +/-  (3.41e-119, 3.41e-119j)
| (-0.8645787506602366333 - 1.0690104272061158041e-485j)  +/-  (1.28e-119, 1.28e-119j)
| (0.96028985649753623168 + 7.1858471817465137344e-484j)  +/-  (5.28e-119, 5.28e-119j)
| (0.91939674306445143056 - 1.0599720599209533423e-498j)  +/-  (3.34e-119, 3.34e-119j)
| (-0.79666647741362673959 - 1.0589216742028728243e-505j)  +/-  (4.15e-120, 4.15e-120j)
| (-0.52553240991632898582 + 9.9279991975284038418e-509j)  +/-  (1.31e-122, 1.31e-122j)
| (-0.62585251576629672001 - 2.0881069844509393206e-506j)  +/-  (1.23e-121, 1.23e-121j)
| (0.061455289575115259925 - 5.2883564820454305107e-509j)  +/-  (2.61e-127, 2.61e-127j)
| (0.62585251576629672001 + 7.2038800083543635456e-506j)  +/-  (1.23e-121, 1.23e-121j)
| (0.52553240991632898582 + 8.7929582389823472071e-509j)  +/-  (1.41e-122, 1.41e-122j)
| (-0.061455289575115259925 + 6.9734434788387033658e-514j)  +/-  (2.19e-127, 2.19e-127j)
| (-0.71668815044316172922 + 6.3026740116109096054e-513j)  +/-  (8.55e-121, 8.55e-121j)
| (-0.18343464249564980494 + 1.3625216926160935525e-517j)  +/-  (4.29e-126, 4.29e-126j)
| (0.41724592885984057272 + 1.6626523896669573052e-514j)  +/-  (1.24e-123, 1.24e-123j)
| (0.71668815044316172922 + 2.500955704545525966e-516j)  +/-  (9.03e-121, 9.03e-121j)
| (0.18343464249564980494 + 1.0613972164232215579e-519j)  +/-  (4.29e-126, 4.29e-126j)
| (-0.30263399994568369367 - 9.7865029186910009534e-524j)  +/-  (7.18e-125, 7.18e-125j)
| (-0.41724592885984057272 - 2.5843093886590436511e-523j)  +/-  (1.23e-123, 1.23e-123j)
| (0.30263399994568369367 - 7.1494553977048972331e-525j)  +/-  (8.02e-125, 8.02e-125j)
-------------------------------------------------
The weights are:
| (0.0050841316801777233237 - 4.6109052554554289204e-452j)  +/-  (2.93e-29, 4.52e-86j)
| (0.018985162041946519082 + 6.2194285915558377007e-452j)  +/-  (2.12e-29, 3.27e-86j)
| (0.03370796008602130642 - 2.5190309394081153255e-452j)  +/-  (7.59e-30, 1.17e-86j)
| (0.0050841316801777233237 + 1.9232052128951365783e-452j)  +/-  (1.12e-31, 1.73e-88j)
| (0.06152066463674006182 + 5.1176495760329315943e-453j)  +/-  (1.26e-31, 1.94e-88j)
| (0.074132242182241872768 - 4.033758780176082732e-453j)  +/-  (8.65e-32, 1.34e-88j)
| (0.018985162041946519082 - 2.6723541955462813536e-452j)  +/-  (8.54e-32, 1.32e-88j)
| (0.047976491853337553908 + 1.5069384710819605263e-452j)  +/-  (8e-32, 1.24e-88j)
| (0.06152066463674006182 - 1.0278015371379879861e-452j)  +/-  (1.69e-32, 2.62e-89j)
| (0.03370796008602130642 + 1.1747477612172886265e-452j)  +/-  (1.59e-32, 2.45e-89j)
| (0.047976491853337553908 - 7.1599245096552208297e-453j)  +/-  (9.93e-33, 1.53e-89j)
| (0.074132242182241872768 + 7.64423731960232427e-453j)  +/-  (4.69e-34, 7.24e-91j)
| (0.10456735528284937412 - 4.2155529320690366463e-453j)  +/-  (7.16e-36, 1.11e-92j)
| (0.095819465790627275757 + 4.9566940185893130164e-453j)  +/-  (1.41e-35, 2.18e-92j)
| (0.12275514760871232508 + 2.6900151491021351017e-453j)  +/-  (2.91e-37, 4.5e-94j)
| (0.095819465790627275757 - 3.0179990580307414269e-453j)  +/-  (5.44e-37, 8.4e-94j)
| (0.10456735528284937412 + 2.7859618874480335183e-453j)  +/-  (2.38e-37, 3.67e-94j)
| (0.12275514760871232508 - 2.8216594767107081331e-453j)  +/-  (4.96e-38, 7.67e-95j)
| (0.08562268654873113631 - 6.0257727393697415734e-453j)  +/-  (7.16e-37, 1.11e-93j)
| (0.12089496971702313774 + 3.0203851559800427872e-453j)  +/-  (2.23e-38, 3.44e-95j)
| (0.11173168626358875638 - 2.6571720317020756647e-453j)  +/-  (6.73e-39, 1.04e-95j)
| (0.08562268654873113631 + 3.4020741855987412172e-453j)  +/-  (2.77e-38, 4.31e-95j)
| (0.12089496971702313774 - 2.6183958499091744775e-453j)  +/-  (2.62e-39, 4.1e-96j)
| (0.11720203630800295729 - 3.3003377740774160283e-453j)  +/-  (9.56e-40, 1.52e-96j)
| (0.11173168626358875638 + 3.6855450038292840988e-453j)  +/-  (8.93e-40, 1.43e-96j)
| (0.11720203630800295729 + 2.6057297634932934452e-453j)  +/-  (7.83e-40, 1.14e-96j)
