Starting with polynomial:
P : t
Extension levels are: 1 2 24
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^27 - 27503181099/81781733*t^25 + 3945146087250/81781733*t^23 - 28863581740650/7434703*t^21 + 1442754782650125/7434703*t^19 - 46859866117931475/7434703*t^17 + 1005890423169183300/7434703*t^15 - 14244358214978797500/7434703*t^13 + 130653510803593493625/7434703*t^11 - 748149899512544904375/7434703*t^9 + 2512302038811266451750/7434703*t^7 - 4450595747902254200250/7434703*t^5 + 3420815427182802796875/7434703*t^3 - 722954091795475483125/7434703*t
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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:
| (7.0645200762517646874 + 5.7604046865144774225e-461j)  +/-  (3.52e-121, 3.52e-121j)
| (-5.5480244929070321863 - 2.186749365592614234e-471j)  +/-  (4.99e-121, 4.99e-121j)
| (-7.0645200762517646874 + 1.3065700499809369395e-481j)  +/-  (3.75e-121, 3.75e-121j)
| (-7.9381799989047260172 - 3.841515680020517143e-484j)  +/-  (1.28e-121, 1.28e-121j)
| (-8.9843603071448716174 + 3.0623137715155179842e-485j)  +/-  (2.1e-122, 2.1e-122j)
| (5.5480244929070321863 + 6.534909353786772747e-483j)  +/-  (5.21e-121, 5.21e-121j)
| (8.9843603071448716174 + 5.9212642234263764031e-486j)  +/-  (2.19e-122, 2.19e-122j)
| (7.9381799989047260172 - 1.1119697188244760468e-484j)  +/-  (1.35e-121, 1.35e-121j)
| (-3.5539456764169210377 - 1.614766423532465732e-483j)  +/-  (6.52e-122, 6.52e-122j)
| (6.2785559194967397224 - 4.2763941301177588241e-487j)  +/-  (4.73e-121, 4.73e-121j)
| (4.8563902339758607681 - 1.5098084291677510582e-486j)  +/-  (3.48e-121, 3.48e-121j)
| (2.3259161631346721493 + 2.037746523325699665e-488j)  +/-  (2.95e-123, 2.95e-123j)
| (4.1938233684623453672 + 4.7134384263800385942e-487j)  +/-  (1.67e-121, 1.67e-121j)
| (-4.1938233684623453672 + 2.5100355672035230966e-485j)  +/-  (1.75e-121, 1.75e-121j)
| (-4.8563902339758607681 - 7.5124348104519623353e-497j)  +/-  (3.43e-121, 3.43e-121j)
| (2.932371070230899498 + 3.0465479497070176231e-506j)  +/-  (1.48e-122, 1.48e-122j)
| (3.5539456764169210377 + 4.3954090415657452542e-506j)  +/-  (6.76e-122, 6.76e-122j)
| (-0.57218611158247317951 - 2.741169273141855099e-510j)  +/-  (3.61e-126, 3.61e-126j)
| (-1.1483895323704344201 + 4.5615185768593588735e-509j)  +/-  (4.84e-125, 4.84e-125j)
| (-1.7320508075688772935 - 1.827446182094570066e-509j)  +/-  (4.48e-124, 4.48e-124j)
| (1.7320508075688772935 - 1.2295341788267350056e-508j)  +/-  (4.33e-124, 4.33e-124j)
| (1.1483895323704344201 - 1.7604693924110069398e-509j)  +/-  (4.84e-125, 4.84e-125j)
| (3.5713966198066145978e-512 - 3.8923674985545468497e-512j)  +/-  (1.43e-510, 1.43e-510j)
| (-2.932371070230899498 + 1.6396627802373959924e-507j)  +/-  (1.38e-122, 1.38e-122j)
| (-2.3259161631346721493 + 3.8672442718779205736e-512j)  +/-  (2.88e-123, 2.88e-123j)
| (-6.2785559194967397224 + 5.4255605013684963685e-522j)  +/-  (5.15e-121, 5.15e-121j)
| (0.57218611158247317951 - 5.6144507542984289384e-532j)  +/-  (4.02e-126, 4.02e-126j)
-------------------------------------------------
The weights are:
| (4.7714035764087684887e-12 - 1.0035586748785402427e-471j)  +/-  (3.31e-36, 1.35e-96j)
| (5.8568702959685755102e-08 - 2.9326319714904148096e-471j)  +/-  (8.15e-34, 3.32e-94j)
| (4.7714035764087684887e-12 - 1.9452994923530091035e-473j)  +/-  (1.04e-36, 4.24e-97j)
| (7.7470967757522276351e-15 + 6.6811858997693276601e-475j)  +/-  (2.54e-38, 1.03e-98j)
| (1.423683984461031001e-18 - 7.5902062945771535067e-477j)  +/-  (4.14e-40, 1.68e-100j)
| (5.8568702959685755102e-08 - 2.4390408495314729577e-470j)  +/-  (2.91e-37, 1.18e-97j)
| (1.423683984461031001e-18 + 6.3450235525337126841e-476j)  +/-  (1.36e-42, 5.52e-103j)
| (7.7470967757522276351e-15 - 1.1473094708557574555e-473j)  +/-  (5.35e-41, 2.18e-101j)
| (0.00045461698830930370972 + 4.1422961937710076358e-469j)  +/-  (1.4e-35, 5.69e-96j)
| (8.2919408601965262747e-10 + 5.0805767111803520013e-471j)  +/-  (6.93e-39, 2.82e-99j)
| (2.0390311928307414518e-06 + 1.0906950487533931728e-469j)  +/-  (8.82e-38, 3.59e-98j)
| (0.016001156982222232635 + 6.7124345327350637105e-468j)  +/-  (8.48e-35, 3.45e-95j)
| (3.9340839424124639326e-05 - 4.0732327343421268792e-469j)  +/-  (1.79e-37, 7.28e-98j)
| (3.9340839424124639326e-05 - 1.0386089376853499474e-469j)  +/-  (3.7e-39, 1.51e-99j)
| (2.0390311928307414518e-06 + 2.0203125141162093769e-470j)  +/-  (5.35e-40, 2.18e-100j)
| (0.003323212470198817382 - 3.1831234697194916471e-468j)  +/-  (3.31e-37, 1.35e-97j)
| (0.00045461698830930370972 + 1.2529240092666243252e-468j)  +/-  (7.93e-38, 3.23e-98j)
| (0.19426541376874604136 - 1.788986635819406551e-467j)  +/-  (8.86e-36, 3.59e-96j)
| (0.11954508376676286131 + 1.2434312977479122378e-467j)  +/-  (7.26e-36, 2.95e-96j)
| (0.052372743714235939715 - 7.1466727467694061486e-468j)  +/-  (1.34e-37, 5.42e-98j)
| (0.052372743714235939715 - 1.1789324961942330448e-467j)  +/-  (2.79e-37, 1.13e-97j)
| (0.11954508376676286131 + 1.7261601552603807371e-467j)  +/-  (5.33e-37, 2.11e-97j)
| (0.22799266607246330142 + 2.1310092595802877621e-467j)  +/-  (8.87e-37, 3.59e-97j)
| (0.003323212470198817382 - 1.3157231023713741334e-468j)  +/-  (1.09e-39, 4.46e-100j)
| (0.016001156982222232635 + 3.3872301549367843924e-468j)  +/-  (3.76e-39, 1.51e-99j)
| (8.2919408601965262747e-10 + 2.9926764551453072688e-472j)  +/-  (1.1e-43, 4.78e-104j)
| (0.19426541376874604136 - 2.104322630912246472e-467j)  +/-  (4.14e-38, 1.22e-98j)
