Starting with polynomial:
P : t^13 - 78*t^11 + 2145*t^9 - 25740*t^7 + 135135*t^5 - 270270*t^3 + 135135*t
Extension levels are: 13 20
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Trying to find an order 20 Kronrod extension for:
P1 : t^13 - 78*t^11 + 2145*t^9 - 25740*t^7 + 135135*t^5 - 270270*t^3 + 135135*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^33 - 4771770576/12466867*t^31 + 795155832225/12466867*t^29 - 76243269015990/12466867*t^27 + 4685568128093385/12466867*t^25 - 194632100428539780/12466867*t^23 + 5617377226822139865/12466867*t^21 - 16295096250189991350/1780981*t^19 + 233210999957340189825/1780981*t^17 - 2334960797529732895800/1780981*t^15 + 16081634307687532274925/1780981*t^13 - 74082774806448919986150/1780981*t^11 + 218661779755027380754125/1780981*t^9 - 387936126362667166069500/1780981*t^7 + 377382794865165680716125/1780981*t^5 - 176761761330601711514250/1780981*t^3 + 29884178961649755492750/1780981*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:
| (3.0288769674801276797 + 9.0884330749668269225e-377j)  +/-  (4.21e-121, 4.21e-121j)
| (-7.2738088836259708133 - 2.2221032542714158114e-382j)  +/-  (1.56e-120, 1.56e-120j)
| (8.1356786202637726367 + 4.7243414042615689151e-382j)  +/-  (4.91e-121, 4.91e-121j)
| (-3.5634443802816340916 - 4.9106175985851537126e-383j)  +/-  (1.18e-120, 1.18e-120j)
| (6.5042391990844483236 - 1.1033075336411980748e-380j)  +/-  (3.32e-120, 3.32e-120j)
| (-9.1719080871630560181 + 4.7937290591125644217e-386j)  +/-  (6.69e-122, 6.69e-122j)
| (2.6206899734322147806 - 2.6068772971394603147e-384j)  +/-  (1.81e-121, 1.81e-121j)
| (-5.8001672523865003059 - 2.3120558678755812236e-384j)  +/-  (4.49e-120, 4.49e-120j)
| (-2.262096979414518898 - 7.4227279327436639117e-387j)  +/-  (4.06e-122, 4.06e-122j)
| (-1.1267137131615950958 - 1.4060843340217077958e-388j)  +/-  (3.22e-124, 3.22e-124j)
| (1.1267137131615950958 - 1.3965813457648407909e-389j)  +/-  (3.73e-124, 3.73e-124j)
| (-6.5042391990844483236 - 3.2829295858767688792e-384j)  +/-  (3.47e-120, 3.47e-120j)
| (-2.6206899734322147806 - 1.1065846197897005337e-385j)  +/-  (1.68e-121, 1.68e-121j)
| (-8.1356786202637726367 + 8.1297416687826984607e-386j)  +/-  (4.81e-121, 4.81e-121j)
| (-4.0850832060969491927 - 7.699135484299610864e-384j)  +/-  (2.83e-120, 2.83e-120j)
| (7.2738088836259708133 + 8.9167033012523823244e-384j)  +/-  (1.65e-120, 1.65e-120j)
| (2.262096979414518898 + 1.6036319528062666408e-387j)  +/-  (4.4e-122, 4.4e-122j)
| (-5.1579542192817720058 + 5.3154544249391926318e-390j)  +/-  (5.43e-120, 5.43e-120j)
| (-1.7254183795882391615 - 1.396847642095595489e-392j)  +/-  (3.26e-123, 3.26e-123j)
| (5.1579542192817720058 + 4.8589262160153718012e-389j)  +/-  (5.3e-120, 5.3e-120j)
| (1.7254183795882391615 + 1.3635668708641074384e-397j)  +/-  (2.92e-123, 2.92e-123j)
| (9.1719080871630560181 + 2.8552266876898746245e-399j)  +/-  (6.67e-122, 6.67e-122j)
| (3.5634443802816340916 + 4.1528163847683229849e-397j)  +/-  (1.12e-120, 1.12e-120j)
| (-0.8566794935194500339 - 5.3466887415012312508e-412j)  +/-  (1.38e-124, 1.38e-124j)
| (-3.0288769674801276797 + 2.9703050082731141785e-409j)  +/-  (4.26e-121, 4.26e-121j)
| (-4.5913984489365206271 - 2.6714290702387687148e-408j)  +/-  (4.91e-120, 4.91e-120j)
| (0.8566794935194500339 + 3.3666722985198976207e-410j)  +/-  (1.37e-124, 1.37e-124j)
| (5.8001672523865003059 + 1.5418572989767896458e-407j)  +/-  (4.65e-120, 4.65e-120j)
| (0.61363540138035120293 - 7.7078436424621294604e-420j)  +/-  (1.88e-125, 1.88e-125j)
| (-0.61363540138035120293 + 1.1273286479084841976e-419j)  +/-  (2.13e-125, 2.13e-125j)
| (4.5913984489365206271 + 2.9202353314523942305e-418j)  +/-  (4.77e-120, 4.77e-120j)
| (-9.1700976014058321123e-437 + 4.3608879204839531858e-437j)  +/-  (3.35e-435, 3.35e-435j)
| (4.0850832060969491927 - 1.5003998045194217367e-439j)  +/-  (3.03e-120, 3.03e-120j)
-------------------------------------------------
The weights are:
| (0.0020667481504410860898 - 6.8145169653621230343e-379j)  +/-  (7.77e-26, 2.53e-84j)
| (1.0467078277594918417e-12 + 1.2754425112276610107e-387j)  +/-  (2.06e-38, 6.7e-97j)
| (1.5663854503288022981e-15 + 4.5181906921968820025e-389j)  +/-  (3.16e-40, 1.03e-98j)
| (0.00037574375747553450363 + 5.1600152785584489721e-381j)  +/-  (1.04e-29, 3.38e-88j)
| (1.907572367415695756e-10 + 1.1660729971294054644e-385j)  +/-  (2.61e-37, 8.49e-96j)
| (2.5729089667509090803e-19 + 1.0727532978185465738e-391j)  +/-  (3.22e-42, 1.05e-100j)
| (0.0038964373910664798781 + 1.5465717831642474399e-378j)  +/-  (9.65e-27, 3.14e-85j)
| (1.3318928676855438127e-08 + 9.4033181159180087115e-385j)  +/-  (1.98e-36, 6.43e-95j)
| (0.01458036929039109001 - 2.0158499172284188019e-379j)  +/-  (6.18e-27, 2.01e-85j)
| (0.14031817967027194208 - 2.0393988018375996689e-378j)  +/-  (1.1e-20, 3.57e-79j)
| (0.14031817967027194208 - 4.455411829411936157e-378j)  +/-  (2.47e-21, 8.02e-80j)
| (1.907572367415695756e-10 - 4.2506485062911908935e-386j)  +/-  (9.28e-38, 3.02e-96j)
| (0.0038964373910664798781 + 1.1174075575986080144e-379j)  +/-  (7.15e-29, 2.33e-87j)
| (1.5663854503288022981e-15 - 2.0667026825903678439e-389j)  +/-  (5.22e-41, 1.7e-99j)
| (4.7766217722966177934e-05 - 9.5933200966293028532e-382j)  +/-  (1.39e-33, 4.52e-92j)
| (1.0467078277594918417e-12 - 3.0954923138948607257e-387j)  +/-  (1.75e-42, 5.68e-101j)
| (0.01458036929039109001 - 1.3909928061319513981e-378j)  +/-  (5.27e-31, 1.72e-89j)
| (4.048070979590063466e-07 - 1.4811137975948714272e-383j)  +/-  (2.93e-36, 9.53e-95j)
| (0.051572619933929426301 + 3.8108825842320433838e-379j)  +/-  (4.78e-29, 1.56e-87j)
| (4.048070979590063466e-07 + 5.6953059498550117484e-383j)  +/-  (1.35e-39, 4.39e-98j)
| (0.051572619933929426301 + 1.3900028635303149308e-378j)  +/-  (5.73e-31, 1.87e-89j)
| (2.5729089667509090803e-19 - 2.1305958822081674914e-391j)  +/-  (1.29e-46, 4.19e-105j)
| (0.00037574375747553450363 - 6.3634575018054261621e-380j)  +/-  (1.7e-36, 5.53e-95j)
| (-0.058445295062451845728 + 4.4892305393608336393e-378j)  +/-  (7.62e-31, 2.48e-89j)
| (0.0020667481504410860898 - 3.1007087369948171229e-380j)  +/-  (5.47e-34, 1.78e-92j)
| (5.5527703476890356826e-06 + 1.5169263133151539087e-382j)  +/-  (9.8e-37, 3.19e-95j)
| (-0.058445295062451845728 + 8.0301999665041850054e-378j)  +/-  (2.27e-32, 7.4e-91j)
| (1.3318928676855438127e-08 - 2.9958678257725778394e-384j)  +/-  (5.85e-41, 1.9e-99j)
| (0.22626350997031161982 - 5.4217246082420273983e-378j)  +/-  (6.99e-33, 2.28e-91j)
| (0.22626350997031161982 - 3.5949811603268097856e-378j)  +/-  (3.74e-33, 1.22e-91j)
| (5.5527703476890356826e-06 - 7.3979470992259271355e-382j)  +/-  (1.89e-39, 6.15e-98j)
| (0.23863589918532372952 + 1.9212391932172014358e-378j)  +/-  (2.89e-35, 1.25e-93j)
| (4.7766217722966177934e-05 + 6.4614567565466281385e-381j)  +/-  (1.21e-38, 3.92e-97j)
