Starting with polynomial:
P : 2*t
Extension levels are: 1 10 18
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Trying to find an order 10 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : 2*t^11 - 55*t^9 + 495*t^7 - 3465/2*t^5 + 17325/8*t^3 - 10395/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^29 - 12380943233/40529468*t^27 + 1615566477339/81058936*t^25 - 59326255051605/81058936*t^23 + 2721315373896825/162117872*t^21 - 23381025270609285/92638784*t^19 + 470995616550501135/185277568*t^17 - 1596425847858783945/92638784*t^15 + 7219583943976289925/92638784*t^13 - 340758017553554982225/1482220544*t^11 + 1260875025129864476475/2964441088*t^9 - 1371849782210823447675/2964441088*t^7 + 224891447290917875325/846983168*t^5 - 221182651456612399125/3387932672*t^3 + 28114295564123715375/6775865344*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:
| (-5.3435844142932514697 - 8.9469565185305523554e-465j)  +/-  (9.51e-122, 9.51e-122j)
| (4.725205435222170103 + 1.008993193321194161e-470j)  +/-  (2.78e-121, 2.78e-121j)
| (-6.0873056969648633896 - 1.513291210343314048e-483j)  +/-  (1.55e-122, 1.55e-122j)
| (-4.725205435222170103 + 5.286474670076788402e-482j)  +/-  (2.64e-121, 2.64e-121j)
| (4.1734058471551039716 - 2.3641807132582147875e-481j)  +/-  (4.15e-121, 4.15e-121j)
| (0.30694752313956099857 + 1.1412814493655715514e-495j)  +/-  (2.06e-126, 2.06e-126j)
| (3.6684708465595825185 - 1.0163034139706534055e-486j)  +/-  (4.79e-121, 4.79e-121j)
| (-4.1734058471551039716 - 2.7884010603196088364e-492j)  +/-  (4.14e-121, 4.14e-121j)
| (-3.6684708465595825185 + 8.1426712454632219985e-492j)  +/-  (4.85e-121, 4.85e-121j)
| (5.3435844142932514697 - 1.861957065309272571e-492j)  +/-  (1.09e-121, 1.09e-121j)
| (1.0052209157829813522 - 2.205509721772083262e-496j)  +/-  (2.69e-124, 2.69e-124j)
| (6.0873056969648633896 - 3.3219358582244709482e-495j)  +/-  (1.49e-122, 1.49e-122j)
| (-0.30694752313956099857 - 2.066983354906897948e-501j)  +/-  (1.7e-126, 1.7e-126j)
| (-1.661439493086536662 - 1.1378910022867438416e-494j)  +/-  (1.15e-122, 1.15e-122j)
| (-2.398065010261465009 + 1.0591741068057172502e-493j)  +/-  (1.23e-121, 1.23e-121j)
| (9.5745405560676752135e-507 - 2.6752392730189092508e-507j)  +/-  (2.88e-505, 2.88e-505j)
| (1.661439493086536662 - 1.3700683500588476207e-495j)  +/-  (1.11e-122, 1.11e-122j)
| (-1.3265570844949328559 + 8.7277676816312852474e-497j)  +/-  (2.04e-123, 2.04e-123j)
| (-1.0052209157829813522 + 2.112567481834282514e-497j)  +/-  (2.67e-124, 2.67e-124j)
| (-2.7832900997816517708 - 2.3576599359846249886e-494j)  +/-  (2.65e-121, 2.65e-121j)
| (2.0259480158257553352 + 5.1459885835334823379e-494j)  +/-  (4.36e-122, 4.36e-122j)
| (0.65680956688209976502 - 9.4198956292315225321e-498j)  +/-  (2.64e-125, 2.64e-125j)
| (-3.2047099664555145811 - 3.5562317477270735149e-494j)  +/-  (4.52e-121, 4.52e-121j)
| (-2.0259480158257553352 + 1.0083536850396803114e-494j)  +/-  (4.89e-122, 4.89e-122j)
| (-0.65680956688209976502 + 3.3541519941478146923e-498j)  +/-  (2.35e-125, 2.35e-125j)
| (2.7832900997816517708 + 4.4346579605048654732e-493j)  +/-  (2.81e-121, 2.81e-121j)
| (1.3265570844949328559 - 7.9041872128741025506e-501j)  +/-  (2.04e-123, 2.04e-123j)
| (2.398065010261465009 + 1.2991216261900857378e-504j)  +/-  (1.23e-121, 1.23e-121j)
| (3.2047099664555145811 - 1.8574885506818189993e-528j)  +/-  (4.18e-121, 4.18e-121j)
-------------------------------------------------
The weights are:
| (1.4905511425843755446e-13 - 8.4927168544447037521e-477j)  +/-  (4.58e-43, 2.06e-103j)
| (6.5791523259871790566e-11 + 5.4944884393920831844e-477j)  +/-  (1.11e-42, 4.97e-103j)
| (3.9017391292513226965e-17 - 1.4318888842704399089e-479j)  +/-  (6.28e-45, 2.82e-105j)
| (6.5791523259871790566e-11 + 8.9528133128400369428e-476j)  +/-  (5.11e-42, 2.29e-102j)
| (8.1023969611801284182e-09 - 1.305979907107114809e-475j)  +/-  (6.73e-42, 3.02e-102j)
| (0.17074721552655518337 - 1.5676842645037678034e-469j)  +/-  (6.31e-33, 2.83e-93j)
| (3.9071277513451324357e-07 + 2.0280352775383871148e-474j)  +/-  (8e-41, 3.59e-101j)
| (8.1023969611801284182e-09 - 1.0623634477808658708e-474j)  +/-  (7.93e-42, 3.56e-102j)
| (3.9071277513451324357e-07 + 1.0911852043343957189e-473j)  +/-  (4.31e-41, 1.93e-101j)
| (1.4905511425843755446e-13 - 1.2481004151965015292e-478j)  +/-  (5.46e-46, 2.45e-106j)
| (0.068489766485317710109 - 6.205403706408574124e-470j)  +/-  (3.34e-33, 1.5e-93j)
| (3.9017391292513226965e-17 + 9.3171442401547817746e-481j)  +/-  (4.98e-48, 2.23e-108j)
| (0.17074721552655518337 - 1.7587687430937676925e-469j)  +/-  (2.5e-33, 1.12e-93j)
| (0.01260795274669886874 - 2.4258811360452943426e-470j)  +/-  (3.39e-37, 1.52e-97j)
| (0.00067226557261078963588 - 2.4036100666435051094e-471j)  +/-  (7.73e-40, 3.47e-100j)
| (0.16379999512949740125 + 1.9755275856102320797e-469j)  +/-  (4.65e-34, 2.08e-94j)
| (0.01260795274669886874 - 1.2751223812813480534e-470j)  +/-  (1.39e-38, 6.25e-99j)
| (0.0309578352911785763 + 5.4975901373816816355e-470j)  +/-  (1.01e-36, 4.53e-97j)
| (0.068489766485317710109 - 9.081154388261704959e-470j)  +/-  (3.09e-36, 1.39e-96j)
| (9.7662677584387606183e-05 + 5.4437526932863901442e-472j)  +/-  (3.89e-41, 1.74e-101j)
| (0.0034513728820546081675 + 3.7294232358631531976e-471j)  +/-  (3.69e-41, 1.66e-101j)
| (0.13106687350525354275 + 9.9799428640270493245e-470j)  +/-  (1.09e-36, 4.87e-97j)
| (8.6588668849196037974e-06 - 8.8942170013840149638e-473j)  +/-  (4.05e-42, 1.82e-102j)
| (0.0034513728820546081675 + 8.2844652050778945077e-471j)  +/-  (1.08e-39, 4.86e-100j)
| (0.13106687350525354275 + 1.2777234834547539762e-469j)  +/-  (6.53e-38, 2.93e-98j)
| (9.7662677584387606183e-05 + 1.7149233238865610738e-472j)  +/-  (4.42e-44, 1.98e-104j)
| (0.0309578352911785763 + 3.3108182044572924714e-470j)  +/-  (7.02e-41, 3.15e-101j)
| (0.00067226557261078963588 - 9.1448635748740065111e-472j)  +/-  (2.16e-43, 9.72e-104j)
| (8.6588668849196037974e-06 - 2.2252851539560606622e-473j)  +/-  (4.3e-45, 1.92e-105j)
