Starting with polynomial:
P : 4096*t^13 - 13312*t^11 + 16640*t^9 - 9984*t^7 + 2912*t^5 - 364*t^3 + 13*t
Extension levels are: 13 26
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P1 : 4096*t^13 - 13312*t^11 + 16640*t^9 - 9984*t^7 + 2912*t^5 - 364*t^3 + 13*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4096*t^39 - 39936*t^37 + 179712*t^35 - 495040*t^33 + 933504*t^31 - 1276704*t^29 + 1308944*t^27 - 4102137/4*t^25 + 9924525/16*t^23 - 18599295/64*t^21 + 13468455/128*t^19 - 29910465/1024*t^17 + 6277505/1024*t^15 - 3900225/4096*t^13 + 869193/8192*t^11 - 1062347/131072*t^9 + 415701/1048576*t^7 - 46683/4194304*t^5 + 1235/8388608*t^3 - 39/67108864*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:
| (0.93501624268541482344 + 1.7900253146858240723e-890j)  +/-  (2.38e-242, 2.38e-242j)
| (0.97979065204226770147 + 5.7859458110151239801e-890j)  +/-  (4.46e-242, 4.46e-242j)
| (-0.90345043461038227502 - 3.4705754941423907988e-894j)  +/-  (1.04e-242, 1.04e-242j)
| (0.96051811163137229844 + 3.7942651187770330609e-906j)  +/-  (3.92e-242, 3.92e-242j)
| (0.86602540378443864676 + 1.3634767744675550538e-911j)  +/-  (4.35e-243, 4.35e-243j)
| (0.82298386589365639458 - 1.1222690988001308509e-910j)  +/-  (1.56e-243, 1.56e-243j)
| (-0.9991889981715696377 - 6.8365682236291738582e-907j)  +/-  (1.68e-242, 1.68e-242j)
| (-0.93501624268541482344 - 1.9296149662785228402e-928j)  +/-  (2.38e-242, 2.38e-242j)
| (-0.97979065204226770147 - 4.7953206215425061035e-939j)  +/-  (4.63e-242, 4.63e-242j)
| (0.9991889981715696377 - 6.9255610344976031242e-954j)  +/-  (1.77e-242, 1.77e-242j)
| (0.90345043461038227502 - 1.2559227372395987796e-958j)  +/-  (1.29e-242, 1.29e-242j)
| (-0.96051811163137229844 + 1.0069759637282161627e-959j)  +/-  (4.6e-242, 4.6e-242j)
| (-0.86602540378443864676 - 1.7387827543664657634e-971j)  +/-  (4.06e-243, 4.06e-243j)
| (-0.82298386589365639458 - 3.2481541342359797146e-986j)  +/-  (1.19e-243, 1.19e-243j)
| (-0.9927088740980539928 + 1.0653215688304590807e-998j)  +/-  (4.78e-242, 4.78e-242j)
| (0.77460496182765458307 + 9.1343899672790848099e-1009j)  +/-  (3.29e-244, 3.29e-244j)
| (0.9927088740980539928 - 1.5083284147780555682e-1009j)  +/-  (4.25e-242, 4.25e-242j)
| (-0.31666799380147249909 + 5.6577542778770670961e-1019j)  +/-  (1e-250, 1e-250j)
| (-0.77460496182765458307 - 9.9537586534516413646e-1013j)  +/-  (3.74e-244, 3.74e-244j)
| (-0.72120244734381453129 + 6.3767034354356893404e-1017j)  +/-  (8.3e-245, 8.3e-245j)
| (0.23931566428755776715 - 1.6073921462416649555e-1028j)  +/-  (5.52e-252, 5.52e-252j)
| (0.72120244734381453129 - 8.836121098971916868e-1020j)  +/-  (7.41e-245, 7.41e-245j)
| (0.16041128085776024037 - 2.2233722586686291929e-1028j)  +/-  (2.45e-253, 2.45e-253j)
| (-0.60074226423797891692 - 3.0049150721572351642e-1020j)  +/-  (1.38e-246, 1.38e-246j)
| (-0.53446582612780109204 + 1.809806353918556502e-1022j)  +/-  (1.63e-247, 1.63e-247j)
| (-0.080466568716725880436 + 9.6766653630750340753e-1029j)  +/-  (1.03e-254, 1.03e-254j)
| (0.66312265824079520238 + 1.6143388053247909656e-1020j)  +/-  (1.18e-245, 1.18e-245j)
| (0.46472317204376854566 + 7.6183340675466040197e-1025j)  +/-  (1.82e-248, 1.82e-248j)
| (-0.16041128085776024037 - 4.3288619445549059855e-1031j)  +/-  (2.78e-253, 2.78e-253j)
| (-0.66312265824079520238 - 4.7673434671131135661e-1023j)  +/-  (1.22e-245, 1.22e-245j)
| (-0.23931566428755776715 - 5.1206326869624646131e-1029j)  +/-  (5.55e-252, 5.55e-252j)
| (0.39196660986007507588 - 1.7472421342734387316e-1025j)  +/-  (1.59e-249, 1.59e-249j)
| (0.60074226423797891692 - 1.6120711960502935463e-1023j)  +/-  (1.72e-246, 1.72e-246j)
| (8.2825670730969530674e-1036 + 4.4079102294791886507e-1036j)  +/-  (3.66e-1034, 3.66e-1034j)
| (-0.46472317204376854566 + 1.357979962842900097e-1028j)  +/-  (1.51e-248, 1.51e-248j)
| (-0.39196660986007507588 - 6.906315944150458717e-1030j)  +/-  (1.39e-249, 1.39e-249j)
| (0.080466568716725880436 + 2.0567121368249928402e-1034j)  +/-  (1.49e-254, 1.49e-254j)
| (0.53446582612780109204 + 3.431373758836923677e-1027j)  +/-  (1.56e-247, 1.56e-247j)
| (0.31666799380147249909 - 1.5944151566343611892e-1031j)  +/-  (8.86e-251, 8.86e-251j)
-------------------------------------------------
The weights are:
| (0.025641025641025641026 - 6.0447072624601840656e-890j)  +/-  (2.29e-76, 3.42e-193j)
| (0.025641025641025641026 - 1.2382863613724032054e-890j)  +/-  (6.89e-77, 1.03e-193j)
| (0.025641025641025641026 + 1.9899516060627123196e-891j)  +/-  (1.32e-78, 1.98e-195j)
| (0.025641025641025641026 + 9.2949465729099930888e-890j)  +/-  (1.39e-76, 2.07e-193j)
| (0.025641025641025641026 - 4.1977998617943840174e-890j)  +/-  (1.32e-77, 1.98e-194j)
| (0.025641025641025641026 + 3.3432295128397803328e-890j)  +/-  (5.8e-78, 8.68e-195j)
| (0.025641025641025641026 - 1.7794359330433764876e-892j)  +/-  (3.69e-80, 5.53e-197j)
| (0.025641025641025641026 - 1.621319553822450891e-891j)  +/-  (7.15e-80, 1.07e-196j)
| (0.025641025641025641026 - 8.928426609854898755e-892j)  +/-  (2.3e-80, 3.44e-197j)
| (0.025641025641025641026 + 1.6207773157930185542e-890j)  +/-  (5.53e-80, 8.28e-197j)
| (0.025641025641025641026 + 5.9228477908992701144e-890j)  +/-  (7.34e-79, 1.1e-195j)
| (0.025641025641025641026 + 1.2544897322877401188e-891j)  +/-  (2.56e-80, 3.83e-197j)
| (0.025641025641025641026 - 2.3656773642201165675e-891j)  +/-  (1.17e-81, 1.76e-198j)
| (0.025641025641025641026 + 2.7538943390245694989e-891j)  +/-  (1.73e-82, 2.58e-199j)
| (0.025641025641025641026 + 5.3445098579761741588e-892j)  +/-  (8.53e-81, 1.28e-197j)
| (0.025641025641025641026 - 2.7964314700640507251e-890j)  +/-  (2.04e-83, 3.05e-200j)
| (0.025641025641025641026 - 7.190974937885062489e-890j)  +/-  (2.72e-81, 4.06e-198j)
| (0.025641025641025641026 + 6.4070230358834795337e-891j)  +/-  (1.86e-86, 2.78e-203j)
| (0.025641025641025641026 - 3.1515435849918069699e-891j)  +/-  (4.49e-84, 6.73e-201j)
| (0.025641025641025641026 + 3.5611001310961888216e-891j)  +/-  (5.53e-85, 8.28e-202j)
| (0.025641025641025641026 - 1.1531636314432895044e-890j)  +/-  (3.26e-88, 4.88e-205j)
| (0.025641025641025641026 + 2.4062378044791000089e-890j)  +/-  (1.59e-86, 2.39e-203j)
| (0.025641025641025641026 + 1.0583806016802091169e-890j)  +/-  (2.55e-88, 3.81e-205j)
| (0.025641025641025641026 + 4.4247504672449743682e-891j)  +/-  (2.39e-87, 3.58e-204j)
| (0.025641025641025641026 - 4.8837779211470554207e-891j)  +/-  (6.58e-88, 9.84e-205j)
| (0.025641025641025641026 - 8.2429442055689270427e-891j)  +/-  (1.02e-89, 1.53e-206j)
| (0.025641025641025641026 - 2.10946225385421873e-890j)  +/-  (8.55e-89, 1.28e-205j)
| (0.025641025641025641026 + 1.5187313780777612053e-890j)  +/-  (4.35e-90, 6.51e-207j)
| (0.025641025641025641026 + 7.5866978342800567498e-891j)  +/-  (6.3e-90, 9.42e-207j)
| (0.025641025641025641026 - 3.9847269705266988628e-891j)  +/-  (1.76e-88, 2.64e-205j)
| (0.025641025641025641026 - 6.9769823871326722568e-891j)  +/-  (5.38e-90, 8.06e-207j)
| (0.025641025641025641026 - 1.3800528320967215923e-890j)  +/-  (3.67e-91, 5.49e-208j)
| (0.025641025641025641026 + 1.8738296279768872776e-890j)  +/-  (7.63e-91, 1.14e-207j)
| (0.025641025641025641026 + 8.9539810800236082891e-891j)  +/-  (3.8e-91, 5.68e-208j)
| (0.025641025641025641026 + 5.3647826057875907503e-891j)  +/-  (4.84e-91, 7.24e-208j)
| (0.025641025641025641026 - 5.8711963903975846431e-891j)  +/-  (3.19e-91, 4.77e-208j)
| (0.025641025641025641026 - 9.7300089725942711563e-891j)  +/-  (1.01e-91, 1.52e-208j)
| (0.025641025641025641026 - 1.6807756929433547661e-890j)  +/-  (2.46e-92, 3.81e-209j)
| (0.025641025641025641026 + 1.2594578779779367433e-890j)  +/-  (2.59e-92, 3.8e-209j)
