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 19
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Trying to find an order 19 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^27 - 31209486041741366229/93994132208398976*t^25 + 13732634924254831889025/14146116897364045888*t^23 - 3974245203673673369086725/2402818998709407222976*t^21 + 1250182836315249699154232725/687206233630890465771136*t^19 - 34373925412923305162208966075/25426630644342947233532032*t^17 + 4387722240099041389255546755/6356657661085736808383008*t^15 - 16883636167923217970646504975/69923234271943104892213088*t^13 + 37792904671655257656676009725/666960080747765000510340224*t^11 - 105205034046253855092626210175/12308445126526935918509005952*t^9 + 675704394878263979367574775/879174651894781137036357568*t^7 - 31629254513826086366204625/879174651894781137036357568*t^5 + 1166037978032553033062625/1758349303789562274072715136*t^3 - 10706606520566038237625/5275047911368686822218145408*t
-------------------------------------------------
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:
| (0.99843620916759232805 + 2.0996383020919335556e-444j)  +/-  (3.38e-119, 3.38e-119j)
| (-0.061428162831563197318 + 4.8107975913987194626e-446j)  +/-  (3.63e-127, 3.63e-127j)
| (-0.9193995469656405004 - 1.8296993488838227781e-448j)  +/-  (3.42e-119, 3.42e-119j)
| (-0.99843620916759232805 + 9.2382911121352625939e-458j)  +/-  (3.16e-119, 3.16e-119j)
| (0.96028985649753623168 + 1.5820188326893764038e-465j)  +/-  (6.37e-119, 6.37e-119j)
| (0.9193995469656405004 + 1.3201628830602041635e-467j)  +/-  (3.32e-119, 3.32e-119j)
| (-0.41725011018679896084 - 8.8514307577220972231e-471j)  +/-  (1.23e-123, 1.23e-123j)
| (-0.86458142040038440778 + 7.635044466001257216e-469j)  +/-  (1.3e-119, 1.3e-119j)
| (-0.98665408152478110582 + 8.2925854662403378969e-478j)  +/-  (6.75e-119, 6.75e-119j)
| (0.6258495145980389993 + 2.3737111604967355902e-489j)  +/-  (1.35e-121, 1.35e-121j)
| (0.86458142040038440778 - 1.9978237986945565918e-487j)  +/-  (1.4e-119, 1.4e-119j)
| (0.98665408152478110582 - 4.3828492498678602621e-488j)  +/-  (7.1e-119, 7.1e-119j)
| (-0.96028985649753623168 + 1.3599561812925328831e-489j)  +/-  (6.07e-119, 6.07e-119j)
| (-0.79666647741362673959 + 3.0346988593727511185e-496j)  +/-  (4.18e-120, 4.18e-120j)
| (8.4852107569088045064e-499 + 3.9637120531981005323e-498j)  +/-  (1.09e-496, 1.09e-496j)
| (0.79666647741362673959 + 1.0462900017874017531e-499j)  +/-  (4.28e-120, 4.28e-120j)
| (0.41725011018679896084 + 6.4653242406997681833e-502j)  +/-  (1.13e-123, 1.13e-123j)
| (0.061428162831563197318 - 3.5164631299572629704e-502j)  +/-  (3.63e-127, 3.63e-127j)
| (-0.71668538633222014824 + 1.886564314476072605e-504j)  +/-  (8e-121, 8e-121j)
| (-0.302639632232894421 + 1.1614928573866119357e-507j)  +/-  (7.8e-125, 7.8e-125j)
| (0.18343464249564980494 + 4.7313723808292228116e-509j)  +/-  (4.53e-126, 4.53e-126j)
| (0.71668538633222014824 - 6.6540598489367218274e-511j)  +/-  (8.75e-121, 8.75e-121j)
| (0.302639632232894421 - 5.6353060487357798578e-514j)  +/-  (7.84e-125, 7.84e-125j)
| (-0.6258495145980389993 + 3.9827055320644975187e-511j)  +/-  (1.23e-121, 1.23e-121j)
| (-0.52553240991632898582 + 9.1679642240547178563e-513j)  +/-  (1.48e-122, 1.48e-122j)
| (-0.18343464249564980494 + 6.7578844427046231448e-514j)  +/-  (5.12e-126, 5.12e-126j)
| (0.52553240991632898582 + 6.7541861064685490963e-515j)  +/-  (1.41e-122, 1.41e-122j)
-------------------------------------------------
The weights are:
| (0.0050888774834683861778 - 1.7011796882327470841e-444j)  +/-  (4.37e-34, 1.54e-91j)
| (0.12282568714721320741 - 1.0416521880461021336e-444j)  +/-  (2.44e-34, 8.62e-92j)
| (0.047975003805118013844 + 2.6213671972114676293e-446j)  +/-  (6.86e-35, 2.42e-92j)
| (0.0050888774834683861778 - 5.4304793541975520096e-447j)  +/-  (4.73e-35, 1.67e-92j)
| (0.033704205680875585735 - 1.0355037853347974249e-444j)  +/-  (3.3e-35, 1.16e-92j)
| (0.047975003805118013844 + 6.2919386878088782583e-445j)  +/-  (2.16e-35, 7.6e-93j)
| (0.1117281535375986952 + 1.2186953812017332788e-445j)  +/-  (6.82e-36, 2.4e-93j)
| (0.061522346807979872609 - 3.2486711320462405155e-446j)  +/-  (3.79e-36, 1.34e-93j)
| (0.018982378140257153597 + 1.4242345156634571197e-446j)  +/-  (5.53e-36, 1.95e-93j)
| (0.095817969171832855788 + 2.7948836612418109418e-445j)  +/-  (1.26e-37, 4.45e-95j)
| (0.061522346807979872609 - 4.4941875127452410602e-445j)  +/-  (8.05e-37, 2.84e-94j)
| (0.018982378140257153597 + 2.3623304169911728693e-444j)  +/-  (4.2e-36, 1.48e-93j)
| (0.033704205680875585735 - 2.0556067206101776362e-446j)  +/-  (1.05e-36, 3.7e-94j)
| (0.074135458346702886902 + 4.044295779195251265e-446j)  +/-  (7.74e-38, 2.73e-95j)
| (-0.00015443684017807828631 + 1.7472793250917317826e-444j)  +/-  (2.62e-38, 9.24e-96j)
| (0.074135458346702886902 + 3.5605113327667611132e-445j)  +/-  (2.49e-38, 8.79e-96j)
| (0.1117281535375986952 + 2.8956903659638345821e-445j)  +/-  (2e-39, 7.06e-97j)
| (0.12282568714721320741 - 1.239055357841010692e-444j)  +/-  (6.5e-39, 2.29e-96j)
| (0.08562452284917454599 - 5.0761684736959058984e-446j)  +/-  (5.94e-40, 2.1e-97j)
| (0.11720336811639705985 - 1.8857256351466914702e-445j)  +/-  (5.09e-40, 1.79e-97j)
| (0.12090603688202829987 + 4.8357964327194455283e-445j)  +/-  (5.08e-40, 1.79e-97j)
| (0.08562452284917454599 - 3.0499250697767050443e-445j)  +/-  (1.09e-40, 3.82e-98j)
| (0.11720336811639705985 - 3.4040931628704882525e-445j)  +/-  (1.97e-40, 6.96e-98j)
| (0.095817969171832855788 + 6.5127301239509579484e-446j)  +/-  (1.73e-41, 6.13e-99j)
| (0.10456321045144247618 - 8.6614593472603812258e-446j)  +/-  (1.51e-41, 5.33e-99j)
| (0.12090603688202829987 + 3.5503357781921115082e-445j)  +/-  (2.9e-41, 1.05e-98j)
| (0.10456321045144247618 - 2.7378748863367899039e-445j)  +/-  (6.89e-42, 2.16e-99j)
