Starting with polynomial:
P : 8192*t^13 - 24576*t^11 + 28160*t^9 - 15360*t^7 + 4032*t^5 - 448*t^3 + 14*t
Extension levels are: 13 14
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Trying to find an order 14 Kronrod extension for:
P1 : 8192*t^13 - 24576*t^11 + 28160*t^9 - 15360*t^7 + 4032*t^5 - 448*t^3 + 14*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8192*t^27 - 53248*t^25 + 153600*t^23 - 259072*t^21 + 283360*t^19 - 210672*t^17 + 108528*t^15 - 38760*t^13 + 37791/4*t^11 - 12155/8*t^9 + 2431/16*t^7 - 273/32*t^5 + 455/2048*t^3 - 7/4096*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:
| (0.99371220989324258353 + 5.8126993391718565869e-449j)  +/-  (9.08e-120, 9.08e-120j)
| (-0.22252093395631440429 + 3.9829048932558292635e-466j)  +/-  (9.06e-126, 9.06e-126j)
| (-0.84672419922828416835 + 8.8078669445529856731e-461j)  +/-  (1.26e-119, 1.26e-119j)
| (-0.9438833303083675629 - 9.7016121160599016125e-460j)  +/-  (2.62e-119, 2.62e-119j)
| (0.97492791218182360702 - 3.1006317386349138473e-460j)  +/-  (2.51e-119, 2.51e-119j)
| (0.78183148246802980871 + 5.7700271169213842365e-467j)  +/-  (3.32e-120, 3.32e-120j)
| (-0.53203207651533656356 + 1.9300394474108126234e-471j)  +/-  (2.05e-122, 2.05e-122j)
| (-0.90096886790241912624 + 1.1116696273851479683e-467j)  +/-  (1.9e-119, 1.9e-119j)
| (-0.7071067811865475244 - 6.7671417867044596601e-472j)  +/-  (8.01e-121, 8.01e-121j)
| (0.90096886790241912624 + 7.5210386590291730081e-469j)  +/-  (2.01e-119, 2.01e-119j)
| (0.84672419922828416835 - 7.8736016439660306798e-478j)  +/-  (9.12e-120, 9.12e-120j)
| (0.9438833303083675629 - 4.0430559387610604058e-492j)  +/-  (2.8e-119, 2.8e-119j)
| (-0.99371220989324258353 - 7.7574803069315996485e-496j)  +/-  (9.11e-120, 9.11e-120j)
| (-0.97492791218182360702 + 2.6217623754518015855e-502j)  +/-  (2.2e-119, 2.2e-119j)
| (0.11196447610330785847 + 8.8216637778876120113e-508j)  +/-  (5.76e-127, 5.76e-127j)
| (0.7071067811865475244 - 8.9153278464422546468e-505j)  +/-  (8.13e-121, 8.13e-121j)
| (0.43388373911755812048 - 9.0669962100593152094e-507j)  +/-  (1.87e-123, 1.87e-123j)
| (1.0991556519420558975e-507 + 6.3759686004259262932e-508j)  +/-  (3.43e-506, 3.43e-506j)
| (-0.78183148246802980871 + 9.366042170171098287e-508j)  +/-  (3.63e-120, 3.63e-120j)
| (-0.33027906195516708177 - 5.652976633837859547e-513j)  +/-  (1.61e-124, 1.61e-124j)
| (0.33027906195516708177 - 1.2097456310973959719e-511j)  +/-  (1.8e-124, 1.8e-124j)
| (0.62348980185873353053 - 6.6324967330554185252e-513j)  +/-  (1.41e-121, 1.41e-121j)
| (0.22252093395631440429 - 1.0317089077902557712e-515j)  +/-  (9.13e-126, 9.13e-126j)
| (-0.62348980185873353053 + 1.9476302478599510723e-514j)  +/-  (1.6e-121, 1.6e-121j)
| (-0.43388373911755812048 + 1.3305515456877262234e-517j)  +/-  (2.37e-123, 2.37e-123j)
| (-0.11196447610330785847 - 1.9680447777260278884e-519j)  +/-  (5.76e-127, 5.76e-127j)
| (0.53203207651533656356 + 2.6408911800852267482e-522j)  +/-  (2.18e-122, 2.18e-122j)
-------------------------------------------------
The weights are:
| (0.00044771585389600701753 - 3.0943662352285927432e-450j)  +/-  (2.89e-33, 4.44e-91j)
| (0.033945872641114627254 + 1.6223628871855951126e-450j)  +/-  (1.5e-33, 2.31e-91j)
| (0.010109218944329319277 - 3.192821550593758214e-451j)  +/-  (5.19e-34, 7.96e-92j)
| (0.0038958663844994677016 - 1.1687423664609093165e-451j)  +/-  (3.42e-34, 5.25e-92j)
| (0.0017684130731710870315 + 5.472258617146825105e-450j)  +/-  (2.97e-34, 4.55e-92j)
| (0.013883554750780099923 + 3.8087904693607625454e-450j)  +/-  (4.04e-35, 6.21e-93j)
| (0.025605066769956395008 - 9.7548819961455439813e-451j)  +/-  (5e-35, 7.68e-93j)
| (0.0067233963953797583835 + 2.0626733582498125714e-451j)  +/-  (4.46e-35, 6.85e-93j)
| (0.017857142857142857143 - 6.1028365182118631991e-451j)  +/-  (1.65e-35, 2.53e-93j)
| (0.0067233963953797583835 + 4.2138962157059562732e-450j)  +/-  (3.07e-35, 4.71e-93j)
| (0.010109218944329319277 - 3.9977308361305339196e-450j)  +/-  (1.62e-35, 2.49e-93j)
| (0.0038958663844994677016 - 4.5446536521681282968e-450j)  +/-  (3.43e-35, 5.26e-93j)
| (0.00044771585389600701753 - 1.3094523849579012757e-452j)  +/-  (7.37e-38, 1.13e-95j)
| (0.0017684130731710870315 + 5.2214995396845563727e-452j)  +/-  (2.3e-37, 3.53e-95j)
| (0.035266569860389707268 - 2.3248595881832054001e-450j)  +/-  (2.03e-39, 3.12e-97j)
| (0.017857142857142857143 - 3.6216411864375569943e-450j)  +/-  (1.12e-38, 1.71e-96j)
| (0.028990889318905955902 + 3.0101242074108833343e-450j)  +/-  (6.08e-40, 9.33e-98j)
| (0.035714285714285714286 + 2.0890998712507865099e-450j)  +/-  (4.83e-40, 7.43e-98j)
| (0.013883554750780099923 + 4.5451390401854713874e-451j)  +/-  (2.58e-39, 3.96e-97j)
| (0.031818419329786246584 - 1.396919367606378478e-450j)  +/-  (4.23e-40, 6.49e-98j)
| (0.031818419329786246584 - 2.7877851082513201193e-450j)  +/-  (1.4e-40, 2.14e-98j)
| (0.021830730963505614362 + 3.4275471363295884165e-450j)  +/-  (8.69e-41, 1.33e-98j)
| (0.033945872641114627254 + 2.5586019659252105704e-450j)  +/-  (1.19e-40, 1.84e-98j)
| (0.021830730963505614362 + 7.8466063319893625403e-451j)  +/-  (2.78e-41, 4.3e-99j)
| (0.028990889318905955902 + 1.1804132906840789674e-450j)  +/-  (1.9e-41, 2.92e-99j)
| (0.035266569860389707268 - 1.8540136544778081227e-450j)  +/-  (1.33e-41, 2.11e-99j)
| (0.025605066769956395008 - 3.2237591339646864905e-450j)  +/-  (6.83e-42, 8.97e-100j)
