Starting with polynomial:
P : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Extension levels are: 14 24
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Trying to find an order 24 Kronrod extension for:
P1 : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16384*t^38 - 1387582850901785042944/331806829966397*t^36 + 783647133223199075905536/1659034149831985*t^34 - 51857799665029048695932928/1659034149831985*t^32 + 2244044357778059407298230272/1659034149831985*t^30 - 13426876201799504054385460224/331806829966397*t^28 + 286377800905883656048449452544/331806829966397*t^26 - 4427648491962658652133738142464/331806829966397*t^24 + 49980864928670994087094151135232/331806829966397*t^22 - 411902442397630309239973235317248/331806829966397*t^20 + 2461934256238264236886070149979520/331806829966397*t^18 - 10530988185277122492676416844648320/331806829966397*t^16 + 31564364697389397402754683682510440/331806829966397*t^14 - 64249709039035184824058885236671420/331806829966397*t^12 + 84834150613205574518570723961100230/331806829966397*t^10 - 67838924910133411255230221397910725/331806829966397*t^8 + 118220636739083634031043257385170275/1327227319865588*t^6 - 47949281326557979111768492319076225/2654454639731176*t^4 + 7893990025453446553686106858023225/5308909279462352*t^2 - 434928679519943516173538769171675/10617818558924704
-------------------------------------------------
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
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-3.8708934196220112932 + 1.6202142976911034816e-453j)  +/-  (2.58e-119, 2.58e-119j)
| (5.7811069672596629067 + 6.0127890614685506028e-461j)  +/-  (7.68e-120, 7.68e-120j)
| (-7.0830144988049678453 - 9.1255530037117749024e-461j)  +/-  (2.03e-121, 2.03e-121j)
| (-4.7632469028540902305 - 2.2304940388444241882e-459j)  +/-  (2.6e-119, 2.6e-119j)
| (-5.7811069672596629067 - 7.957415214297253669e-464j)  +/-  (7.59e-120, 7.59e-120j)
| (7.0830144988049678453 + 3.3149246915216926429e-469j)  +/-  (2.19e-121, 2.19e-121j)
| (-2.4284959590722869087 + 3.967310643092054175e-466j)  +/-  (2.3e-120, 2.3e-120j)
| (6.3721432126928542509 - 1.1730032634221030342e-467j)  +/-  (2.08e-120, 2.08e-120j)
| (-6.3721432126928542509 - 5.7816019366684920507e-467j)  +/-  (1.91e-120, 1.91e-120j)
| (2.4284959590722869087 - 1.3439525200694504865e-468j)  +/-  (2.34e-120, 2.34e-120j)
| (0.87871378732939941611 + 1.4731625732880307163e-471j)  +/-  (3.38e-124, 3.38e-124j)
| (3.4626569336022705502 + 7.4631578437346058454e-467j)  +/-  (2.09e-119, 2.09e-119j)
| (-1.4766827311411408706 + 7.885164832024306052e-470j)  +/-  (3.28e-122, 3.28e-122j)
| (3.8708934196220112932 - 2.9880451513366690025e-466j)  +/-  (2.71e-119, 2.71e-119j)
| (4.3044485704736318126 + 1.4285225712792554646e-466j)  +/-  (2.73e-119, 2.73e-119j)
| (3.0860944119925639928 + 2.3452594039860250795e-468j)  +/-  (1.24e-119, 1.24e-119j)
| (1.7630659109074803021 + 1.6442214326066254804e-469j)  +/-  (1.39e-121, 1.39e-121j)
| (-2.7484707249854025686 - 2.4271741594271073187e-465j)  +/-  (6.36e-120, 6.36e-120j)
| (-1.7630659109074803021 - 5.6027007269336162343e-469j)  +/-  (1.26e-121, 1.26e-121j)
| (2.7484707249854025686 + 6.064907905812508186e-468j)  +/-  (6.36e-120, 6.36e-120j)
| (1.2082045080876938493 + 7.8518970966828850732e-471j)  +/-  (5.21e-123, 5.21e-123j)
| (0.29174551067256207845 + 7.3653863093273666346e-473j)  +/-  (1.84e-125, 1.84e-125j)
| (4.7632469028540902305 + 1.1478765406310565424e-467j)  +/-  (2.69e-119, 2.69e-119j)
| (-0.29174551067256207845 + 1.2965910485252113255e-472j)  +/-  (2.15e-125, 2.15e-125j)
| (-0.87871378732939941611 - 5.5046582500995971791e-472j)  +/-  (3.77e-124, 3.77e-124j)
| (-3.0860944119925639928 + 5.2191323493740366702e-466j)  +/-  (1.35e-119, 1.35e-119j)
| (-5.2520130939668597245 + 1.3778332210162393284e-469j)  +/-  (1.58e-119, 1.58e-119j)
| (0.24487023917543882988 + 3.3092621269055862123e-486j)  +/-  (1.25e-125, 1.25e-125j)
| (-2.0951832585077168157 - 5.5191890998866941759e-480j)  +/-  (6.09e-121, 6.09e-121j)
| (-1.2082045080876938493 - 1.1597540664006664899e-484j)  +/-  (5.03e-123, 5.03e-123j)
| (-0.24487023917543882988 - 1.0807184857214598212e-486j)  +/-  (1.04e-125, 1.04e-125j)
| (5.2520130939668597245 - 5.5354031702222161728e-482j)  +/-  (1.58e-119, 1.58e-119j)
| (1.4766827311411408706 + 5.9066772285585570102e-485j)  +/-  (3.16e-122, 3.16e-122j)
| (-4.3044485704736318126 + 6.1459103120623054165e-483j)  +/-  (2.8e-119, 2.8e-119j)
| (-0.49266997422988020007 + 2.1596340264169382129e-505j)  +/-  (3.41e-125, 3.41e-125j)
| (-3.4626569336022705502 - 5.3588210685076274686e-504j)  +/-  (1.94e-119, 1.94e-119j)
| (2.0951832585077168157 - 1.0090218840758836432e-520j)  +/-  (5.62e-121, 5.62e-121j)
| (0.49266997422988020007 - 1.9411807089889821783e-524j)  +/-  (3.42e-125, 3.42e-125j)
-------------------------------------------------
The weights are:
| (7.3908413617141993328e-08 + 7.1245661095372974254e-460j)  +/-  (6.29e-29, 1.82e-87j)
| (9.5724932546642252633e-16 - 6.6590548061161773794e-467j)  +/-  (4e-36, 1.16e-94j)
| (7.528276985701259174e-23 - 1.2916347268637955083e-470j)  +/-  (4.12e-39, 1.19e-97j)
| (3.7361496255787605395e-11 - 5.9960277963250798532e-463j)  +/-  (5.81e-33, 1.68e-91j)
| (9.5724932546642252633e-16 - 3.3647122662575363515e-466j)  +/-  (4.86e-36, 1.41e-94j)
| (7.528276985701259174e-23 - 3.7875865470726982425e-471j)  +/-  (2.84e-41, 8.21e-100j)
| (0.00050343124586459133049 + 1.9203260734278708601e-457j)  +/-  (8.44e-26, 2.44e-84j)
| (8.3206405762688710062e-19 + 9.1170615471807392465e-469j)  +/-  (2.01e-39, 5.82e-98j)
| (8.3206405762688710062e-19 + 3.733588967235526003e-468j)  +/-  (4.11e-38, 1.19e-96j)
| (0.00050343124586459133049 - 4.3970505302082917439e-458j)  +/-  (3.3e-28, 9.54e-87j)
| (0.092452178039495772142 + 1.0318415268301502963e-455j)  +/-  (1.92e-23, 5.56e-82j)
| (1.3797247988974171922e-06 + 1.75784895236513549e-460j)  +/-  (9.93e-33, 2.87e-91j)
| (0.016458459035088620687 - 5.1841362196534494658e-456j)  +/-  (1.92e-23, 5.56e-82j)
| (7.3908413617141993328e-08 - 1.5467676166876338769e-461j)  +/-  (2.54e-34, 7.34e-93j)
| (2.2584187220355452667e-09 + 1.1060724579648652696e-462j)  +/-  (6.06e-36, 1.75e-94j)
| (1.4727066559855280495e-05 - 1.571458173000519072e-459j)  +/-  (2.72e-32, 7.86e-91j)
| (0.0079915686952962366784 - 7.4500310967772029921e-457j)  +/-  (2.96e-28, 8.56e-87j)
| (9.5106901940617881549e-05 - 5.7734232419713773923e-458j)  +/-  (5.46e-33, 1.58e-91j)
| (0.0079915686952962366784 + 1.9913001933724105404e-456j)  +/-  (4.86e-29, 1.4e-87j)
| (9.5106901940617881549e-05 + 9.7897937096821271601e-459j)  +/-  (8.33e-32, 2.41e-90j)
| (0.039004728129864405344 - 4.8145646768176370229e-456j)  +/-  (1.89e-27, 5.46e-86j)
| (-0.49610591318978739678 + 4.2468517765649383021e-454j)  +/-  (3.73e-27, 1.08e-85j)
| (3.7361496255787605395e-11 - 6.1969931168282369717e-464j)  +/-  (3.43e-38, 9.91e-97j)
| (-0.49610591318978739678 - 4.9391953194457007195e-454j)  +/-  (1.17e-27, 3.38e-86j)
| (0.092452178039495772142 - 1.6378836196104045273e-455j)  +/-  (2.59e-28, 7.47e-87j)
| (1.4727066559855280495e-05 + 1.3930466260825557711e-458j)  +/-  (7.47e-35, 2.16e-93j)
| (2.9967356485819001067e-13 + 1.6692957684156724538e-464j)  +/-  (6.59e-41, 1.9e-99j)
| (0.62532986965904284278 - 3.9949867400709534331e-454j)  +/-  (7.68e-28, 2.21e-86j)
| (0.0023696400059739308497 - 6.0386362218527713194e-457j)  +/-  (3.9e-32, 1.12e-90j)
| (0.039004728129864405344 + 9.1838163114918799569e-456j)  +/-  (4.79e-30, 1.38e-88j)
| (0.62532986965904284278 + 4.5345604462996896383e-454j)  +/-  (1.67e-28, 4.83e-87j)
| (2.9967356485819001067e-13 + 2.5271528495820067918e-465j)  +/-  (9.63e-41, 2.76e-99j)
| (0.016458459035088620687 + 2.3210355028612889169e-456j)  +/-  (1.28e-31, 3.67e-90j)
| (2.2584187220355452667e-09 + 2.0856684986880664221e-461j)  +/-  (6.41e-39, 1.86e-97j)
| (0.21188474848136715932 + 8.3693393917632302846e-455j)  +/-  (1.04e-30, 3.14e-89j)
| (1.3797247988974171922e-06 - 3.1577958862449676813e-459j)  +/-  (9.8e-37, 2.83e-95j)
| (0.0023696400059739308497 + 1.7973063265650343221e-457j)  +/-  (6.85e-34, 1.85e-92j)
| (0.21188474848136715932 - 6.4794517306043825594e-455j)  +/-  (3.69e-31, 1.17e-89j)
