Starting with polynomial:
P : 1300075/1024*t^13 - 2028117/512*t^11 + 4849845/1024*t^9 - 692835/256*t^7 + 765765/1024*t^5 - 45045/512*t^3 + 3003/1024*t
Extension levels are: 13 14
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Trying to find an order 14 Kronrod extension for:
P1 : 1300075/1024*t^13 - 2028117/512*t^11 + 4849845/1024*t^9 - 692835/256*t^7 + 765765/1024*t^5 - 45045/512*t^3 + 3003/1024*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1300075/1024*t^27 - 254138661/29696*t^25 + 342234060525/13348352*t^23 - 191546556996825/4258124288*t^21 + 392526224778858975/7656107469824*t^19 - 326923139102486653125/8215003315121152*t^17 + 5662708032889744696813275/264024045295507484416*t^15 - 2521402534262155454351461125/313924589856358398970624*t^13 + 198785689618533690764959875/96592181494264122760192*t^11 - 3063482736384270216666195/8781107408569465705472*t^9 + 161961907216514751831735/4390553704284732852736*t^7 - 9649063285804265925861/4390553704284732852736*t^5 + 535269662321333712255/8781107408569465705472*t^3 - 4403629433748257685/8781107408569465705472*t
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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:
| (-0.34183246302180637632 + 1.2829303444426288248e-427j)  +/-  (3.16e-124, 3.16e-124j)
| (0.11597108974493355031 - 4.9554243402619902399e-429j)  +/-  (9.69e-127, 9.69e-127j)
| (-0.91759839922297796521 + 3.7687028356101191286e-423j)  +/-  (5.94e-119, 5.94e-119j)
| (0.99736617699482494478 - 2.4873762982827851793e-421j)  +/-  (4.67e-119, 4.67e-119j)
| (0.98418305471858814947 + 1.1539754470703047905e-438j)  +/-  (9.93e-119, 9.93e-119j)
| (0.86533316026634446208 - 2.1289148495371031395e-450j)  +/-  (2.76e-119, 2.76e-119j)
| (-0.44849275103644685288 - 3.770907699982732238e-460j)  +/-  (3.91e-123, 3.91e-123j)
| (-0.86533316026634446208 + 3.4303514199658922357e-456j)  +/-  (2.63e-119, 2.63e-119j)
| (-0.98418305471858814947 - 2.7369424089253676064e-454j)  +/-  (1.01e-118, 1.01e-118j)
| (-0.23045831595513479407 + 1.0366861608736246475e-465j)  +/-  (2.06e-125, 2.06e-125j)
| (0.80157809073330991279 - 5.4985864820250578831e-458j)  +/-  (8.43e-120, 8.43e-120j)
| (-0.99736617699482494478 - 5.2222643713523403326e-457j)  +/-  (4.22e-119, 4.22e-119j)
| (-0.95755246838608118226 + 3.0198954918795477192e-459j)  +/-  (1.02e-118, 1.02e-118j)
| (-0.80157809073330991279 - 3.1231290779214837213e-461j)  +/-  (8.68e-120, 8.68e-120j)
| (0.44849275103644685288 + 3.2982859751576807383e-462j)  +/-  (4.03e-123, 4.03e-123j)
| (0.91759839922297796521 - 2.6442924275087401058e-458j)  +/-  (5.76e-119, 5.76e-119j)
| (0.54907995795653685794 + 9.5419283419866975705e-471j)  +/-  (4.23e-122, 4.23e-122j)
| (0.95755246838608118226 + 5.9937177759398621966e-473j)  +/-  (1.03e-118, 1.03e-118j)
| (-0.72694884932063203807 - 1.9266467966792849987e-482j)  +/-  (2.21e-120, 2.21e-120j)
| (-0.11597108974493355031 - 8.644701757789362681e-488j)  +/-  (1e-126, 1e-126j)
| (0.23045831595513479407 - 8.1643046595262119813e-486j)  +/-  (2.06e-125, 2.06e-125j)
| (0.64234933944034022064 - 2.6191516510645050928e-482j)  +/-  (3.43e-121, 3.43e-121j)
| (0.34183246302180637632 + 2.6753089787293427729e-487j)  +/-  (3.25e-124, 3.25e-124j)
| (-0.54907995795653685794 + 1.0848665838384164746e-484j)  +/-  (4.57e-122, 4.57e-122j)
| (-0.64234933944034022064 + 5.758436454651440298e-487j)  +/-  (3.35e-121, 3.35e-121j)
| (8.7811805127780141477e-495 - 8.0638305294113030643e-495j)  +/-  (3.22e-493, 3.22e-493j)
| (0.72694884932063203807 + 3.5614865926809832414e-490j)  +/-  (1.98e-120, 1.98e-120j)
-------------------------------------------------
The weights are:
| (0.10926635109528501905 + 1.9572698960791614185e-422j)  +/-  (4.22e-33, 9.56e-91j)
| (0.11548879909128642565 + 3.216689475765572996e-422j)  +/-  (2.61e-33, 5.92e-91j)
| (0.046279017973830715737 - 5.433745044595045425e-423j)  +/-  (7.42e-34, 1.68e-91j)
| (0.0070878463512486450452 + 2.6416168158074372517e-421j)  +/-  (2.61e-34, 5.91e-92j)
| (0.019753746382705915616 - 3.9109465314440587909e-421j)  +/-  (2.2e-34, 4.98e-92j)
| (0.058115210423114584633 + 1.09359516025684386e-421j)  +/-  (6.05e-35, 1.37e-92j)
| (0.10383060116903996335 - 1.7045607179437544459e-422j)  +/-  (2.49e-34, 5.64e-92j)
| (0.058115210423114584633 + 3.5300327629527568684e-423j)  +/-  (3.4e-35, 7.7e-93j)
| (0.019753746382705915616 - 3.7867092268533065264e-423j)  +/-  (5.51e-36, 1.25e-93j)
| (0.11321025917152986688 - 2.2280831919459144913e-422j)  +/-  (2.47e-35, 5.6e-93j)
| (0.069303633247781497752 - 8.8230619530949661487e-422j)  +/-  (7.51e-37, 1.7e-94j)
| (0.0070878463512486450452 + 1.221894277324819031e-423j)  +/-  (2.28e-36, 5.17e-94j)
| (0.033443589989552415197 + 7.4398850494739540966e-423j)  +/-  (4.58e-36, 1.04e-93j)
| (0.069303633247781497752 - 7.3379484149969927467e-423j)  +/-  (8.3e-37, 1.88e-94j)
| (0.10383060116903996335 - 4.683438130467023572e-422j)  +/-  (4.05e-39, 9.17e-97j)
| (0.046279017973830715737 - 1.4285429593898345299e-421j)  +/-  (6.92e-39, 1.57e-96j)
| (0.097141734876078608438 + 5.3648421809480136533e-422j)  +/-  (1.07e-39, 2.43e-97j)
| (0.033443589989552415197 + 2.0887222378933006424e-421j)  +/-  (6.75e-39, 1.53e-96j)
| (0.079805962169476289804 + 9.9196212589103882668e-423j)  +/-  (1.98e-39, 4.48e-97j)
| (0.11548879909128642565 + 2.5254022200697365992e-422j)  +/-  (7.66e-40, 1.74e-97j)
| (0.11321025917152986688 - 3.62991882381439788e-422j)  +/-  (4e-40, 9.07e-98j)
| (0.089168441877539610227 - 6.212388168518096238e-422j)  +/-  (1.21e-40, 2.73e-98j)
| (0.10926635109528501905 + 4.1130281352188206239e-422j)  +/-  (2.56e-40, 5.82e-98j)
| (0.097141734876078608438 + 1.4621778751723509607e-422j)  +/-  (4.35e-41, 9.88e-99j)
| (0.089168441877539610227 - 1.2267584596226727636e-422j)  +/-  (4.06e-41, 9.22e-99j)
| (0.11620961236306088522 - 2.8532705211019346702e-422j)  +/-  (2.48e-41, 5.73e-99j)
| (0.079805962169476289804 + 7.3223198857965622694e-422j)  +/-  (1.09e-41, 2.28e-99j)
