Starting with polynomial:
P : t
Extension levels are: 1 2 26
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^29 - 8944298513/22263096*t^27 + 517712132925/7421032*t^25 - 25609140141975/3710516*t^23 + 1602291607584525/3710516*t^21 - 133123628499887025/7421032*t^19 + 3752160715936207575/7421032*t^17 - 18021447523895941125/1855258*t^15 + 233862751861335221625/1855258*t^13 - 8014725505679922154125/7421032*t^11 + 43572149207584561438875/7421032*t^9 - 70467231491884719867375/3710516*t^7 + 121860519308968002688125/3710516*t^5 - 185235974626365762474375/7421032*t^3 + 39213048694057413800625/7421032*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:
| (5.4118878302357349738 - 2.1408921210439022458e-306j)  +/-  (1.89e-120, 1.89e-120j)
| (-5.4118878302357349738 + 1.8034745124886454835e-305j)  +/-  (1.82e-120, 1.82e-120j)
| (-8.4414665060691137011 - 3.2399380444543007935e-309j)  +/-  (3.82e-121, 3.82e-121j)
| (9.4703065679456211896 - 2.1610053433556399773e-310j)  +/-  (5.87e-122, 5.87e-122j)
| (-6.8102900226670241004 - 9.4390447014053965899e-308j)  +/-  (2.07e-120, 2.07e-120j)
| (3.512757195428204868 + 1.0926172905772304067e-310j)  +/-  (1.16e-121, 1.16e-121j)
| (6.8102900226670241004 - 1.9821807831943787594e-309j)  +/-  (2.04e-120, 2.04e-120j)
| (8.4414665060691137011 - 2.8733681893006568706e-311j)  +/-  (3.83e-121, 3.83e-121j)
| (-6.0921968734965619822 + 5.4552437553798497899e-308j)  +/-  (2.06e-120, 2.06e-120j)
| (-9.4703065679456211896 - 8.49281169508557193e-315j)  +/-  (5.57e-122, 5.57e-122j)
| (2.91024717109072009 + 2.6604988488067889919e-313j)  +/-  (2.6e-122, 2.6e-122j)
| (6.0921968734965619822 - 1.0968000986379419575e-311j)  +/-  (2.19e-120, 2.19e-120j)
| (7.5827147777938974043 + 2.640720569708670826e-312j)  +/-  (1.17e-120, 1.17e-120j)
| (-1.7320508075688772935 + 1.6325773554896725551e-311j)  +/-  (6.02e-124, 6.02e-124j)
| (-3.2649127744475138645e-314 + 2.0585408768517439884e-315j)  +/-  (9.49e-313, 9.49e-313j)
| (-1.1518795298290032498 - 1.7427071756184827659e-314j)  +/-  (5.87e-125, 5.87e-125j)
| (1.7320508075688772935 + 1.9957406273866314805e-317j)  +/-  (5.62e-124, 5.62e-124j)
| (2.3174808632775930253 + 2.017115883488307171e-317j)  +/-  (4.58e-123, 4.58e-123j)
| (-4.1279116592745467171 - 2.2680949247262184187e-327j)  +/-  (4e-121, 4e-121j)
| (-4.7593551445768804059 + 2.1864922973809749188e-350j)  +/-  (9.59e-121, 9.59e-121j)
| (-3.512757195428204868 - 1.1223140313212806833e-363j)  +/-  (1.21e-121, 1.21e-121j)
| (-7.5827147777938974043 + 1.3367372232878219898e-369j)  +/-  (1.14e-120, 1.14e-120j)
| (4.1279116592745467171 + 6.3072220223702091e-371j)  +/-  (4.46e-121, 4.46e-121j)
| (-2.3174808632775930253 - 4.8850863984360766178e-378j)  +/-  (4.23e-123, 4.23e-123j)
| (-2.91024717109072009 - 1.9775871241200437529e-392j)  +/-  (2.58e-122, 2.58e-122j)
| (4.7593551445768804059 + 1.0752088824390370324e-398j)  +/-  (1.01e-120, 1.01e-120j)
| (1.1518795298290032498 + 1.2620531325405707736e-402j)  +/-  (6.06e-125, 6.06e-125j)
| (-0.57510588158222941561 + 2.7124357266945643698e-405j)  +/-  (4.56e-126, 4.56e-126j)
| (0.57510588158222941561 - 1.1498203324055244487e-403j)  +/-  (4.56e-126, 4.56e-126j)
-------------------------------------------------
The weights are:
| (1.1584316339025551191e-07 + 8.7176734866974863594e-313j)  +/-  (1.51e-33, 2.32e-93j)
| (1.1584316339025551191e-07 + 5.7418362089588069394e-312j)  +/-  (6.03e-34, 9.25e-94j)
| (1.2349742608345695578e-16 - 1.9603622547723076425e-317j)  +/-  (1.6e-39, 2.45e-99j)
| (1.5810085839718059108e-20 - 2.5081031506839774285e-320j)  +/-  (1.95e-41, 2.99e-101j)
| (2.5108845282044639014e-11 - 2.0661248978499091576e-314j)  +/-  (3.84e-37, 5.89e-97j)
| (0.00050762787220639972698 - 2.5567970964698297375e-311j)  +/-  (4.41e-31, 6.76e-91j)
| (2.5108845282044639014e-11 - 9.2445878881649326355e-317j)  +/-  (7.61e-38, 1.17e-97j)
| (1.2349742608345695578e-16 + 2.0097828561767459051e-318j)  +/-  (2.15e-40, 3.3e-100j)
| (2.4257296135133611139e-09 + 4.3178892884071618768e-313j)  +/-  (2.02e-37, 3.1e-97j)
| (1.5810085839718059108e-20 + 1.5771851950249831822e-319j)  +/-  (7.98e-43, 1.23e-102j)
| (0.0034506001979155667165 + 6.4841535589503732421e-311j)  +/-  (3.59e-32, 5.51e-92j)
| (2.4257296135133611139e-09 + 2.591119955151753627e-314j)  +/-  (1.75e-37, 2.68e-97j)
| (1.0542339944733268572e-13 - 4.0933072126610665954e-317j)  +/-  (1.45e-39, 2.22e-99j)
| (0.051849684285707003326 + 4.3957171580785354026e-310j)  +/-  (1.24e-31, 1.9e-91j)
| (0.22932396794471159206 - 6.6990851966831401536e-310j)  +/-  (4.69e-29, 7.19e-89j)
| (0.11881005729168854085 - 5.8814354086623788961e-310j)  +/-  (4.67e-29, 7.17e-89j)
| (0.051849684285707003326 + 2.6261522380142063088e-310j)  +/-  (1.84e-31, 2.82e-91j)
| (0.016017284678362180423 - 1.410510155202670509e-310j)  +/-  (1.09e-32, 1.67e-92j)
| (4.9546621534178191737e-05 + 3.5489276686500576941e-311j)  +/-  (3.96e-38, 6.08e-98j)
| (3.0839572669538986421e-06 - 1.6978968613316511833e-311j)  +/-  (8.8e-39, 1.35e-98j)
| (0.00050762787220639972698 - 7.8677867856546727764e-311j)  +/-  (7.58e-38, 1.16e-97j)
| (1.0542339944733268572e-13 + 8.3198444433280167249e-316j)  +/-  (8.31e-43, 1.27e-102j)
| (4.9546621534178191737e-05 + 8.8273700421557868222e-312j)  +/-  (6.18e-39, 9.48e-99j)
| (0.016017284678362180423 - 2.8314342105889638789e-310j)  +/-  (1.99e-37, 3.05e-97j)
| (0.0034506001979155667165 + 1.5927869717949925084e-310j)  +/-  (5.63e-38, 8.65e-98j)
| (3.0839572669538986421e-06 - 3.0794801145641440524e-312j)  +/-  (8.18e-40, 1.25e-99j)
| (0.11881005729168854085 - 4.1834068312884568209e-310j)  +/-  (3.85e-37, 5.86e-97j)
| (0.19465001282885598487 + 6.7599835172163207528e-310j)  +/-  (6.02e-37, 1e-96j)
| (0.19465001282885598487 + 5.7121797338178770222e-310j)  +/-  (3.46e-37, 4.81e-97j)
