Starting with polynomial:
P : t
Extension levels are: 1 38
-------------------------------------------------
Trying to find an order 38 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^39 - 741/77*t^37 + 82251/1925*t^35 - 466089/4015*t^33 + 5593068/25915*t^31 - 173385108/596045*t^29 + 11732392308/39935015*t^27 - 45253513188/199675075*t^25 + 7542252198/55909021*t^23 - 9218308242/148280447*t^21 + 27654924726/1249792339*t^19 - 7542252198/1249792339*t^17 + 85478858244/68738578645*t^15 - 138081232548/728628933637*t^13 + 15084504396/728628933637*t^11 - 5028168132/3245710704383*t^9 + 11313378297/152548403106001*t^7 - 221830947/108963145075715*t^5 + 24647883/937083047651149*t^3 - 3891771/38420404953697109*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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.85925293799990615391 + 9.4469700298438726229e-939j)  +/-  (6.27e-243, 6.27e-243j)
| (-0.95577521232465227711 - 2.2025215585214699278e-937j)  +/-  (4.84e-242, 4.84e-242j)
| (-0.89716711929299288785 + 6.1876970082634796829e-947j)  +/-  (1.63e-242, 1.63e-242j)
| (-0.23632551246183576734 + 1.512744560196004584e-960j)  +/-  (7.75e-252, 7.75e-252j)
| (0.9294091484867382297 - 5.4181054576778078439e-958j)  +/-  (3.05e-242, 3.05e-242j)
| (0.95577521232465227711 - 1.4513894414433282313e-957j)  +/-  (5.05e-242, 5.05e-242j)
| (-0.97609870933347105384 + 1.5297431800837647974e-959j)  +/-  (5.53e-242, 5.53e-242j)
| (-0.9294091484867382297 - 1.1812772539575615951e-982j)  +/-  (3.19e-242, 3.19e-242j)
| (-0.99814738306643290601 - 2.6831199132149036676e-1003j)  +/-  (1.45e-242, 1.45e-242j)
| (0.99814738306643290601 - 2.0545558381044175148e-1014j)  +/-  (1.44e-242, 1.44e-242j)
| (0.89716711929299288785 + 1.5954349856640805768e-1018j)  +/-  (1.56e-242, 1.56e-242j)
| (0.99025153685468598364 - 9.2074436859981871751e-1018j)  +/-  (4.27e-242, 4.27e-242j)
| (-0.85925293799990615391 - 3.4951032703212744718e-1021j)  +/-  (6.14e-243, 6.14e-243j)
| (-0.76740124293106349983 + 1.1092466991119995753e-1030j)  +/-  (5.37e-244, 5.37e-244j)
| (0.97609870933347105384 + 6.412024358000681068e-1038j)  +/-  (5.62e-242, 5.62e-242j)
| (0.76740124293106349983 + 1.4248272127694974797e-1040j)  +/-  (5.23e-244, 5.23e-244j)
| (0.81590629743014310435 + 2.5955719420419307462e-1041j)  +/-  (2.08e-243, 2.08e-243j)
| (-0.99025153685468598364 + 4.6006929239104631985e-1043j)  +/-  (3.77e-242, 3.77e-242j)
| (-0.81590629743014310435 + 8.0431655935132763086e-1059j)  +/-  (2.02e-243, 2.02e-243j)
| (-0.31277155924818592254 + 6.2350847813708588289e-1066j)  +/-  (1.48e-250, 1.48e-250j)
| (0.31277155924818592254 - 2.753627489953146544e-1069j)  +/-  (1.57e-250, 1.57e-250j)
| (0.71404443589453467913 - 4.1984063844692725059e-1063j)  +/-  (1.11e-244, 1.11e-244j)
| (0.079443804608755477582 + 1.9265515605151872907e-1068j)  +/-  (1.78e-254, 1.78e-254j)
| (-0.71404443589453467913 + 8.7285549462625572981e-1063j)  +/-  (1.06e-244, 1.06e-244j)
| (-0.65617321343201091073 - 6.9423979231869992033e-1065j)  +/-  (1.87e-245, 1.87e-245j)
| (1.8521409435665781585e-1069 + 3.0621552172624644511e-1069j)  +/-  (1.4e-1067, 1.4e-1067j)
| (0.65617321343201091073 + 3.1266862125393750572e-1067j)  +/-  (1.87e-245, 1.87e-245j)
| (0.38724016397156145585 + 7.4226590125686202182e-1072j)  +/-  (2.29e-249, 2.29e-249j)
| (-0.38724016397156145585 + 2.8044416979450588484e-1071j)  +/-  (2.16e-249, 2.16e-249j)
| (-0.59415345495727798869 + 5.7118708057100924546e-1069j)  +/-  (2.68e-246, 2.68e-246j)
| (-0.15838533999783779992 - 4.2579516630518523688e-1073j)  +/-  (4.3e-253, 4.3e-253j)
| (0.45926051230913604866 - 5.5506677690068143535e-1071j)  +/-  (2.6e-248, 2.6e-248j)
| (0.59415345495727798869 - 1.3455627474018081154e-1069j)  +/-  (2.5e-246, 2.5e-246j)
| (-0.079443804608755477582 + 5.8215619356227240157e-1076j)  +/-  (2.7e-254, 2.7e-254j)
| (-0.5283772686604374739 + 4.1074523191176776754e-1072j)  +/-  (2.83e-247, 2.83e-247j)
| (-0.45926051230913604866 + 1.9142194636228721366e-1073j)  +/-  (2.72e-248, 2.72e-248j)
| (0.15838533999783779992 - 9.5938426558185883141e-1078j)  +/-  (4.61e-253, 4.61e-253j)
| (0.5283772686604374739 - 3.5874511555687050225e-1073j)  +/-  (2.97e-247, 2.97e-247j)
| (0.23632551246183576734 - 2.5739526993440914273e-1078j)  +/-  (8.05e-252, 8.05e-252j)
-------------------------------------------------
The weights are:
| (0.040673276847933843939 + 5.2457936700190825701e-939j)  +/-  (1.45e-78, 3.08e-196j)
| (0.023369384832178164595 - 5.678498528282449211e-938j)  +/-  (5.66e-79, 1.2e-196j)
| (0.035115111498131330761 - 1.6150575506370484768e-937j)  +/-  (4.28e-79, 9.11e-197j)
| (0.077274552544682016729 + 4.2064083507898565275e-938j)  +/-  (2.16e-80, 4.6e-198j)
| (0.029334955983903378592 + 7.1942419529780984213e-939j)  +/-  (1.93e-79, 4.1e-197j)
| (0.023369384832178164595 - 4.4274500290936467521e-939j)  +/-  (1.05e-79, 2.24e-197j)
| (0.017256229093724919041 - 1.6087826946551050349e-937j)  +/-  (3.27e-80, 6.96e-198j)
| (0.029334955983903378592 + 2.7433230243383144884e-937j)  +/-  (9e-80, 1.91e-197j)
| (0.0047529446916351013708 - 1.1341771322371602885e-938j)  +/-  (2.55e-81, 5.43e-199j)
| (0.0047529446916351013708 + 3.582481749349857702e-940j)  +/-  (1.17e-81, 2.5e-199j)
| (0.035115111498131330761 - 1.3244532484123054473e-938j)  +/-  (3.14e-81, 6.67e-199j)
| (0.011034788939164594243 - 1.2768110770136276302e-939j)  +/-  (1.38e-81, 2.95e-199j)
| (0.040673276847933843939 + 1.2214428157284820667e-937j)  +/-  (8.4e-83, 1.79e-200j)
| (0.050984665292129405214 + 8.7656154745310726085e-938j)  +/-  (6.59e-84, 1.4e-201j)
| (0.017256229093724919041 + 2.6018279411504218823e-939j)  +/-  (1.3e-81, 2.76e-199j)
| (0.050984665292129405214 + 3.7482956953645486565e-939j)  +/-  (1.35e-84, 2.86e-202j)
| (0.045974301108916631884 + 2.640834047723592721e-939j)  +/-  (8.58e-84, 1.83e-201j)
| (0.011034788939164594243 + 4.8618086480028289307e-938j)  +/-  (9.93e-84, 2.11e-201j)
| (0.045974301108916631884 - 1.0119818972974286827e-937j)  +/-  (1.17e-84, 2.48e-202j)
| (0.075536937322836057705 - 4.5650092733119252843e-938j)  +/-  (1.41e-87, 3e-205j)
| (0.075536937322836057705 - 2.1780572681586035599e-938j)  +/-  (9.13e-89, 1.94e-206j)
| (0.055672690340916299907 - 7.0887607318809790668e-939j)  +/-  (8.06e-87, 1.71e-204j)
| (0.07927622256836847101 + 2.9699082953169766657e-938j)  +/-  (5.96e-89, 1.27e-206j)
| (0.055672690340916299907 - 7.7843925310572187351e-938j)  +/-  (2.29e-87, 4.86e-205j)
| (0.060008736088596149575 + 7.0183417564289472812e-938j)  +/-  (3.42e-88, 7.27e-206j)
| (0.079527622139442852417 - 3.2557263383841708691e-938j)  +/-  (5.99e-90, 1.27e-207j)
| (0.060008736088596149575 + 9.7387878519271854385e-939j)  +/-  (3.86e-89, 8.22e-207j)
| (0.073321753414268617381 + 1.931188665827326361e-938j)  +/-  (3.2e-90, 6.81e-208j)
| (0.073321753414268617381 + 4.9526687587312043392e-938j)  +/-  (3.72e-90, 7.91e-208j)
| (0.063965388138682388987 - 6.388307969859844523e-938j)  +/-  (9.73e-90, 2.07e-207j)
| (0.078523613287371176725 - 3.8712390004084506728e-938j)  +/-  (1.33e-90, 2.83e-208j)
| (0.07064300597060876077 - 1.6903637867275240951e-938j)  +/-  (1.72e-91, 3.66e-209j)
| (0.063965388138682388987 - 1.2168477685677265128e-938j)  +/-  (2.87e-91, 6.1e-209j)
| (0.07927622256836847101 + 3.5553766534561780723e-938j)  +/-  (3.2e-91, 6.79e-209j)
| (0.067517630966231265363 + 5.8501462594647031218e-938j)  +/-  (1.59e-91, 3.37e-209j)
| (0.07064300597060876077 - 5.3772621062851069286e-938j)  +/-  (1.13e-91, 2.41e-209j)
| (0.078523613287371176725 - 2.696036478680126195e-938j)  +/-  (1.17e-92, 2.49e-210j)
| (0.067517630966231265363 + 1.4534221614890895664e-938j)  +/-  (6.35e-93, 1.42e-210j)
| (0.077274552544682016729 + 2.4325486819513190402e-938j)  +/-  (6.99e-93, 1.47e-210j)
