Starting with polynomial:
P : 4096*t^12 - 135168*t^10 + 1520640*t^8 - 7096320*t^6 + 13305600*t^4 - 7983360*t^2 + 665280
Extension levels are: 12 26
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Trying to find an order 26 Kronrod extension for:
P1 : 4096*t^12 - 135168*t^10 + 1520640*t^8 - 7096320*t^6 + 13305600*t^4 - 7983360*t^2 + 665280
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4096*t^38 - 2084325822728699377664/1939697391247873*t^36 + 12764196228679412014080/102089336381467*t^34 - 281825365093423316958481920/32974855651213841*t^32 + 12640679227585047551277657600/32974855651213841*t^30 - 23154227386664309778522113280/1939697391247873*t^28 + 8783342126725957863077741028480/32974855651213841*t^26 - 142949014292397767002661465496000/32974855651213841*t^24 + 1711015887184879690601524248768000/32974855651213841*t^22 - 15077333705922418067686603814760000/32974855651213841*t^20 + 5119244626725911237598598798242000/1735518718484939*t^18 - 1404452150698008976619939897013000/102089336381467*t^16 + 4638434539961564790921164045103750/102089336381467*t^14 - 10513448405089607686213935851045625/102089336381467*t^12 + 31226164056501472867664544617053125/204178672762934*t^10 - 56665743681964077911362092742636875/408357345525868*t^8 + 112512516106672640463452188649533125/1633429382103472*t^6 - 50639498722059425888731565741071875/3266858764206944*t^4 + 7350088095763929378434773929853125/6533717528413888*t^2 - 188306128954750142537176209609375/13067435056827776
-------------------------------------------------
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:
| (-4.8060885675374238078 + 1.6414976841238808823e-912j)  +/-  (7.26e-247, 7.26e-247j)
| (-1.2836449472620378295 - 1.1429066255597549312e-915j)  +/-  (1.5e-250, 1.5e-250j)
| (7.1447852772508518298 - 4.6427000945495952977e-915j)  +/-  (5.58e-249, 5.58e-249j)
| (3.8897248978697819193 - 1.0255719680751571142e-911j)  +/-  (8.44e-247, 8.44e-247j)
| (5.8357252293968460178 - 1.7542038754094576309e-913j)  +/-  (1.84e-247, 1.84e-247j)
| (-6.4306953858670518021 - 7.0847335415122150126e-912j)  +/-  (4.79e-248, 4.79e-248j)
| (6.4306953858670518021 - 5.1177529119350624821e-918j)  +/-  (5.3e-248, 5.3e-248j)
| (-7.1447852772508518298 - 1.1898488409556603378e-916j)  +/-  (5.34e-249, 5.34e-249j)
| (-5.8357252293968460178 + 1.66284906888678181e-915j)  +/-  (1.93e-247, 1.93e-247j)
| (5.301589208487048209 + 2.3517967838441053897e-923j)  +/-  (4.24e-247, 4.24e-247j)
| (3.4564233582311071617 + 7.2086042365009158837e-924j)  +/-  (7.18e-247, 7.18e-247j)
| (-5.301589208487048209 + 2.2316444693783657713e-927j)  +/-  (4.25e-247, 4.25e-247j)
| (-2.8210752997935651439 + 5.2458701312981119348e-939j)  +/-  (1.49e-246, 1.49e-246j)
| (3.0206370251208897717 + 6.5864806749489346576e-953j)  +/-  (1.06e-246, 1.06e-246j)
| (2.2795070805010599002 + 1.2575718894297412192e-954j)  +/-  (3.71e-248, 3.71e-248j)
| (1.5976826351526047967 - 2.9881433759275474998e-956j)  +/-  (1.09e-249, 1.09e-249j)
| (4.8060885675374238078 + 3.597539673025031714e-953j)  +/-  (6.96e-247, 6.96e-247j)
| (-0.31424037625435911128 - 4.9043923438350535225e-959j)  +/-  (1e-253, 1e-253j)
| (-3.8897248978697819193 + 2.2649766290212771096e-960j)  +/-  (7.89e-247, 7.89e-247j)
| (-2.6915145850299894194 - 2.5601974097824763315e-974j)  +/-  (7e-247, 7e-247j)
| (0.31424037625435911128 + 1.096460337855599508e-993j)  +/-  (1e-253, 1e-253j)
| (1.2836449472620378295 + 1.2660280193339275447e-988j)  +/-  (1.45e-250, 1.45e-250j)
| (1.9200927763424479916 + 5.2639886401283747772e-987j)  +/-  (6.29e-249, 6.29e-249j)
| (2.8210752997935651439 + 6.862141135665622954e-986j)  +/-  (1.51e-246, 1.51e-246j)
| (-3.4564233582311071617 + 2.6772618152089395235e-991j)  +/-  (7.28e-247, 7.28e-247j)
| (-2.2795070805010599002 + 6.7018408728212146717e-1003j)  +/-  (3.76e-248, 3.76e-248j)
| (0.60400941717538074667 + 7.2911408380745416782e-1018j)  +/-  (7.5e-253, 7.5e-253j)
| (-1.9200927763424479916 - 4.0679375232007827205e-1012j)  +/-  (6.44e-249, 6.44e-249j)
| (0.12710923398415897165 + 7.1229253293479804139e-1024j)  +/-  (1.74e-254, 1.74e-254j)
| (-0.60400941717538074667 - 1.0479183726876702155e-1022j)  +/-  (7.44e-253, 7.44e-253j)
| (-3.0206370251208897717 + 7.7679671182739612908e-1020j)  +/-  (1.05e-246, 1.05e-246j)
| (2.6915145850299894194 + 6.2283415294238927717e-1030j)  +/-  (7.05e-247, 7.05e-247j)
| (-0.12710923398415897165 - 1.745689256032905584e-1038j)  +/-  (1.74e-254, 1.74e-254j)
| (-4.3377920903219260763 + 9.5722651781688527976e-1033j)  +/-  (7.81e-247, 7.81e-247j)
| (-0.9477883912401637437 - 3.5053349866982378238e-1040j)  +/-  (1.15e-251, 1.15e-251j)
| (-1.5976826351526047967 - 2.1426865772846663386e-1038j)  +/-  (1.08e-249, 1.08e-249j)
| (4.3377920903219260763 - 3.9050905669605452229e-1040j)  +/-  (8.41e-247, 8.41e-247j)
| (0.9477883912401637437 + 8.5274612914207666732e-1046j)  +/-  (1.23e-251, 1.23e-251j)
-------------------------------------------------
The weights are:
| (2.5208930373786721111e-11 - 3.0973391452157975107e-923j)  +/-  (9.53e-93, 4.14e-216j)
| (0.035192310165765481834 - 7.392893273263579515e-915j)  +/-  (5.98e-72, 2.6e-195j)
| (3.1375932733108327577e-23 - 5.9656126481383615812e-929j)  +/-  (1.3e-99, 5.65e-223j)
| (6.664440964284666011e-08 + 4.1634499262293957263e-918j)  +/-  (9.81e-91, 4.26e-214j)
| (5.1157551412757919176e-16 - 1.5268450475376287463e-924j)  +/-  (1e-96, 4.35e-220j)
| (3.9535911725262417596e-19 + 4.5819585763550313798e-927j)  +/-  (2.07e-99, 8.99e-223j)
| (3.9535911725262417596e-19 + 1.7038247189834127856e-926j)  +/-  (1.82e-98, 7.88e-222j)
| (3.1375932733108327577e-23 - 1.8851637204261047527e-929j)  +/-  (1.94e-101, 8.41e-225j)
| (5.1157551412757919176e-16 - 3.5054215224252264745e-925j)  +/-  (3.54e-98, 1.54e-221j)
| (1.7961222217528487944e-13 + 7.6082310881253538518e-923j)  +/-  (9.11e-97, 3.95e-220j)
| (1.5655932228054164437e-06 - 2.3169091938045891656e-917j)  +/-  (3.23e-92, 1.4e-215j)
| (1.7961222217528487944e-13 + 1.5141413450940702948e-923j)  +/-  (2.09e-97, 9.08e-221j)
| (-4.8812187861757518871e-05 + 2.2373008547126850244e-916j)  +/-  (1.6e-91, 6.96e-215j)
| (2.9673210030016094047e-05 + 3.4173183419504987317e-916j)  +/-  (1.74e-91, 7.54e-215j)
| (0.0011811972978951131484 - 1.5783804141373885396e-915j)  +/-  (1.62e-89, 7.01e-213j)
| (0.01363005515394646634 - 8.0162946994038064215e-915j)  +/-  (7.68e-87, 3.33e-210j)
| (2.5208930373786721111e-11 - 2.786434276819534545e-921j)  +/-  (1.56e-96, 6.79e-220j)
| (0.10971714992028120721 + 1.4182907317622219121e-913j)  +/-  (2.72e-86, 1.18e-209j)
| (6.664440964284666011e-08 - 7.5466134529051675508e-920j)  +/-  (2.04e-96, 8.87e-220j)
| (0.00021606199929873686956 - 2.9099415388718086968e-916j)  +/-  (7.21e-93, 3.13e-216j)
| (0.10971714992028120721 - 1.670433918055744023e-913j)  +/-  (7.34e-87, 3.18e-210j)
| (0.035192310165765481834 + 1.4782123265889387904e-914j)  +/-  (2.92e-87, 1.26e-210j)
| (0.0048047838456932731341 + 3.662144627316828621e-915j)  +/-  (1.32e-89, 5.72e-213j)
| (-4.8812187861757518871e-05 - 1.4908405044764143406e-915j)  +/-  (2.79e-92, 1.21e-215j)
| (1.5655932228054164437e-06 + 1.2418359430190542652e-918j)  +/-  (9.01e-96, 3.91e-219j)
| (0.0011811972978951131484 + 3.9423429151850600299e-916j)  +/-  (2.98e-93, 1.29e-216j)
| (0.13133895967265508861 + 6.3217892515110386718e-914j)  +/-  (1.53e-89, 6.62e-213j)
| (0.0048047838456932731341 - 1.1940457905288775556e-915j)  +/-  (7.67e-93, 3.32e-216j)
| (0.12474839713843023127 + 2.2560202725412648271e-913j)  +/-  (2.51e-89, 1.08e-212j)
| (0.13133895967265508861 - 4.6108822591600358552e-914j)  +/-  (1.64e-90, 7.11e-214j)
| (2.9673210030016094047e-05 - 4.0160455226685613559e-917j)  +/-  (1.4e-94, 6.1e-218j)
| (0.00021606199929873686956 + 1.6882786547544593143e-915j)  +/-  (1.02e-93, 4.47e-217j)
| (0.12474839713843023127 - 2.1117016124064427143e-913j)  +/-  (3.67e-90, 1.58e-213j)
| (1.7365599190119588326e-09 + 3.9425971109018356317e-921j)  +/-  (1.06e-98, 4.56e-222j)
| (0.079188589784284721169 + 1.6527425115127068763e-914j)  +/-  (6.4e-92, 2.75e-215j)
| (0.01363005515394646634 + 3.2105058401176889228e-915j)  +/-  (6.22e-93, 2.65e-216j)
| (1.7365599190119588326e-09 + 1.0177054948811707023e-919j)  +/-  (1.54e-99, 7.73e-223j)
| (0.079188589784284721169 - 2.7135445444009836497e-914j)  +/-  (1.48e-92, 5.4e-216j)
