Starting with polynomial:
P : 2*t
Extension levels are: 1 2 26
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^29 - 8944298513/22263096*t^27 + 517712132925/14842064*t^25 - 25609140141975/14842064*t^23 + 1602291607584525/29684128*t^21 - 133123628499887025/118736512*t^19 + 3752160715936207575/237473024*t^17 - 18021447523895941125/118736512*t^15 + 233862751861335221625/237473024*t^13 - 8014725505679922154125/1899784192*t^11 + 43572149207584561438875/3799568384*t^9 - 70467231491884719867375/3799568384*t^7 + 121860519308968002688125/7599136768*t^5 - 185235974626365762474375/30396547072*t^3 + 39213048694057413800625/60793094144*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:
| (2.9188743264120452253 + 3.1237157238668602627e-439j)  +/-  (2.53e-121, 2.53e-121j)
| (3.8267825837806393056 + 1.502760021865474898e-446j)  +/-  (1.26e-120, 1.26e-120j)
| (-4.3078337215729024027 + 1.3191057223680680813e-449j)  +/-  (1.62e-120, 1.62e-120j)
| (5.9690182096005826317 - 5.0855443578724378678e-448j)  +/-  (2.82e-121, 2.82e-121j)
| (6.696517994109848228 - 5.8854031774299751615e-453j)  +/-  (4.15e-122, 4.15e-122j)
| (-3.3653722968053934308 + 1.9659486243669629779e-455j)  +/-  (6.63e-121, 6.63e-121j)
| (5.3617890391815097451 - 1.0525457478725088169e-453j)  +/-  (7.88e-121, 7.88e-121j)
| (-5.9690182096005826317 + 4.6402989867945581476e-462j)  +/-  (2.81e-121, 2.81e-121j)
| (0.81450182665206024308 - 4.3739439862219221887e-468j)  +/-  (4.35e-125, 4.35e-125j)
| (-4.8156022568749391907 + 1.57858490459695778e-461j)  +/-  (1.37e-120, 1.37e-120j)
| (1.2247448713915890491 + 2.3983184936240107508e-465j)  +/-  (4.05e-124, 4.05e-124j)
| (3.3653722968053934308 + 1.1456060985628904937e-463j)  +/-  (6.65e-121, 6.65e-121j)
| (-1.6387064336936402314 - 8.3544277938956860402e-474j)  +/-  (3.1e-123, 3.1e-123j)
| (-2.057855509607214747 + 2.3095246686131391219e-472j)  +/-  (1.87e-122, 1.87e-122j)
| (2.4838944335491220194 - 1.9002579362623537004e-470j)  +/-  (8.13e-122, 8.13e-122j)
| (1.6387064336936402314 + 1.136478041539467728e-475j)  +/-  (3.3e-123, 3.3e-123j)
| (-2.9188743264120452253 + 6.5694809941443519724e-478j)  +/-  (2.52e-121, 2.52e-121j)
| (4.8156022568749391907 - 4.0260688505812758388e-478j)  +/-  (1.4e-120, 1.4e-120j)
| (-0.81450182665206024308 - 1.2686817315344335975e-492j)  +/-  (4.18e-125, 4.18e-125j)
| (-6.696517994109848228 - 6.666679769608295894e-488j)  +/-  (4.62e-122, 4.62e-122j)
| (2.057855509607214747 - 1.000774359806193896e-488j)  +/-  (1.88e-122, 1.88e-122j)
| (-5.3617890391815097451 - 7.9512763299586494299e-488j)  +/-  (8.16e-121, 8.16e-121j)
| (-2.4838944335491220194 + 1.7184291606581650096e-490j)  +/-  (8.54e-122, 8.54e-122j)
| (-3.8267825837806393056 - 2.0016263181363219236e-493j)  +/-  (1.23e-120, 1.23e-120j)
| (-1.2247448713915890491 - 6.0621267118772744128e-503j)  +/-  (3.91e-124, 3.91e-124j)
| (4.3078337215729024027 - 2.2333034801307212816e-501j)  +/-  (1.63e-120, 1.63e-120j)
| (0.40666126876706200735 + 5.5738910495659814002e-512j)  +/-  (2.99e-126, 2.99e-126j)
| (-2.7495449454147156996e-518 - 5.5850131703736412648e-518j)  +/-  (1.81e-516, 1.81e-516j)
| (-0.40666126876706200735 + 2.9034653174728608428e-512j)  +/-  (2.99e-126, 2.99e-126j)
-------------------------------------------------
The weights are:
| (4.9546621534178191737e-05 - 4.5756152397044595946e-443j)  +/-  (5.84e-31, 2.9e-91j)
| (1.1584316339025551191e-07 + 7.93618513052083651e-445j)  +/-  (2.11e-34, 1.05e-94j)
| (2.4257296135133611139e-09 + 1.4102628975192765519e-446j)  +/-  (1.83e-37, 9.08e-98j)
| (1.2349742608345695578e-16 + 6.8984290423446118479e-450j)  +/-  (1.61e-40, 7.99e-101j)
| (1.5810085839718059108e-20 - 6.0423051659584554485e-452j)  +/-  (3.34e-42, 1.66e-102j)
| (3.0839572669538986421e-06 + 6.0364722636926102815e-445j)  +/-  (2.45e-36, 1.22e-96j)
| (1.0542339944733268572e-13 - 2.6033685352153579814e-448j)  +/-  (1.43e-39, 7.12e-100j)
| (1.2349742608345695578e-16 - 2.3674004872999662377e-450j)  +/-  (3.06e-43, 1.52e-103j)
| (0.11881005729168854085 + 3.7984543087424376344e-442j)  +/-  (1.83e-29, 9.12e-90j)
| (2.5108845282044639014e-11 - 1.306585424882617723e-447j)  +/-  (2.21e-40, 1.1e-100j)
| (0.051849684285707003326 - 3.0984645005147388169e-442j)  +/-  (1.83e-29, 9.1e-90j)
| (3.0839572669538986421e-06 - 8.4960476386901634802e-444j)  +/-  (3.68e-36, 1.83e-96j)
| (0.016017284678362180423 + 6.3485171600903776138e-443j)  +/-  (1.83e-32, 9.1e-93j)
| (0.0034506001979155667165 - 2.66985826047752422e-443j)  +/-  (3.57e-34, 1.78e-94j)
| (0.00050762787220639972698 + 1.1564980267136585589e-442j)  +/-  (7.99e-35, 3.97e-95j)
| (0.016017284678362180423 + 2.2601628904456409641e-442j)  +/-  (8.41e-33, 4.18e-93j)
| (4.9546621534178191737e-05 - 2.6511857614789255808e-444j)  +/-  (3.96e-37, 1.97e-97j)
| (2.5108845282044639014e-11 + 5.3279936650604710284e-447j)  +/-  (2.5e-40, 1.24e-100j)
| (0.11881005729168854085 + 2.141054762027295125e-442j)  +/-  (2.28e-33, 1.13e-93j)
| (1.5810085839718059108e-20 + 2.3738683836678195924e-452j)  +/-  (5.74e-46, 2.85e-106j)
| (0.0034506001979155667165 - 1.5431908097706958804e-442j)  +/-  (1.97e-35, 9.78e-96j)
| (1.0542339944733268572e-13 + 7.6803113543319431034e-449j)  +/-  (9.16e-43, 4.56e-103j)
| (0.00050762787220639972698 + 9.31102941387077034e-444j)  +/-  (8.35e-38, 4.15e-98j)
| (1.1584316339025551191e-07 - 1.0681432786328119434e-445j)  +/-  (6.73e-40, 3.34e-100j)
| (0.051849684285707003326 - 1.2668152470639963168e-442j)  +/-  (1.15e-36, 5.73e-97j)
| (2.4257296135133611139e-09 - 7.3375494747393255286e-446j)  +/-  (3.64e-41, 1.82e-101j)
| (0.19465001282885598487 - 4.0872012899521189992e-442j)  +/-  (7.38e-37, 3.69e-97j)
| (0.22932396794471159206 + 3.8228083460400702306e-442j)  +/-  (2.97e-37, 1.51e-97j)
| (0.19465001282885598487 - 3.0875990219417111909e-442j)  +/-  (2.2e-37, 1.04e-97j)
