Starting with polynomial:
P : 8*t^4 - 8*t^2 + 1
Extension levels are: 4 24
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Trying to find an order 24 Kronrod extension for:
P1 : 8*t^4 - 8*t^2 + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8*t^28 - 56*t^26 + 175*t^24 - 322*t^22 + 12397/32*t^20 - 10241/32*t^18 + 47481/256*t^16 - 4845/64*t^14 + 88179/4096*t^12 - 17017/4096*t^10 + 17017/32768*t^8 - 637/16384*t^6 + 3185/2097152*t^4 - 49/2097152*t^2 + 1/16777216
-------------------------------------------------
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:
| (0.98587101851823587392 + 1.0043894048983506344e-346j)  +/-  (1.32e-118, 1.32e-118j)
| (0.16750622330473640809 + 6.608258327584280986e-351j)  +/-  (2.09e-126, 2.09e-126j)
| (-0.92387953251128675613 + 8.8415482555017410531e-353j)  +/-  (8.71e-119, 8.71e-119j)
| (-0.81556086895926017135 - 5.8324580070718949388e-354j)  +/-  (1.3e-119, 1.3e-119j)
| (0.8752234219087536975 - 1.1365208948658042504e-352j)  +/-  (3.86e-119, 3.86e-119j)
| (0.92387953251128675613 + 5.9762173809045238409e-353j)  +/-  (8.31e-119, 8.31e-119j)
| (-0.99842681501781656213 - 5.6818706116187856083e-352j)  +/-  (4.47e-119, 4.47e-119j)
| (-0.8752234219087536975 + 5.3329451350563444967e-356j)  +/-  (3.71e-119, 3.71e-119j)
| (-0.98587101851823587392 + 2.167446490820025762e-354j)  +/-  (1.46e-118, 1.46e-118j)
| (0.99842681501781656213 - 1.8966306930713669597e-354j)  +/-  (4.1e-119, 4.1e-119j)
| (0.81556086895926017135 - 1.3715221666244054713e-355j)  +/-  (1.39e-119, 1.39e-119j)
| (0.48371888710523979107 + 4.9436189634579656306e-358j)  +/-  (7.23e-123, 7.23e-123j)
| (-0.38268343236508977173 + 9.4633697950735561046e-363j)  +/-  (5.75e-124, 5.75e-124j)
| (-0.66634657795200394558 + 4.5718440817643480682e-360j)  +/-  (7.1e-121, 7.1e-121j)
| (-0.056070447237191788191 - 1.1308398128947867782e-360j)  +/-  (1.52e-127, 1.52e-127j)
| (0.74564216488316560949 + 3.157597599744454688e-362j)  +/-  (3.13e-120, 3.13e-120j)
| (0.96091732194509954321 - 1.4499999131819860921e-363j)  +/-  (1.42e-118, 1.42e-118j)
| (-0.96091732194509954321 + 1.4100894347488537077e-363j)  +/-  (1.22e-118, 1.22e-118j)
| (-0.74564216488316560949 - 6.3699881292679802152e-368j)  +/-  (3.13e-120, 3.13e-120j)
| (-0.27683551142484938763 + 3.6207771687477378058e-369j)  +/-  (4.3e-125, 4.3e-125j)
| (0.38268343236508977173 + 4.2750954345824039021e-369j)  +/-  (5.9e-124, 5.9e-124j)
| (0.66634657795200394558 - 2.4809096866750480947e-377j)  +/-  (6.39e-121, 6.39e-121j)
| (0.056070447237191788191 - 3.8159382984308949249e-383j)  +/-  (1.52e-127, 1.52e-127j)
| (-0.57867129617980574163 - 3.189516117585448571e-386j)  +/-  (8.56e-122, 8.56e-122j)
| (-0.48371888710523979107 + 7.9682030827087754073e-388j)  +/-  (9.1e-123, 9.1e-123j)
| (-0.16750622330473640809 - 2.4650442825417660464e-388j)  +/-  (2.84e-126, 2.84e-126j)
| (0.57867129617980574163 + 1.2891207566738428948e-400j)  +/-  (8.04e-122, 8.04e-122j)
| (0.27683551142484938763 - 3.0327854372976042917e-419j)  +/-  (3.75e-125, 3.75e-125j)
-------------------------------------------------
The weights are:
| (0.035714285714285714286 - 6.3019183923489448221e-347j)  +/-  (1.78e-32, 6.34e-90j)
| (0.035714285714285714286 + 2.579832944148225745e-347j)  +/-  (1.02e-32, 3.64e-90j)
| (0.035714285714285714286 + 4.2929655481317206831e-348j)  +/-  (2.52e-33, 8.98e-91j)
| (0.035714285714285714286 + 6.8800853653443739218e-348j)  +/-  (2.98e-33, 1.06e-90j)
| (0.035714285714285714286 + 9.3619371703322344258e-347j)  +/-  (8.25e-34, 2.94e-91j)
| (0.035714285714285714286 - 1.3219688570321799571e-346j)  +/-  (9.62e-34, 3.43e-91j)
| (0.035714285714285714286 - 6.0832129693509026991e-349j)  +/-  (5.49e-35, 1.96e-92j)
| (0.035714285714285714286 - 5.5673314457164425142e-348j)  +/-  (1.2e-34, 4.29e-92j)
| (0.035714285714285714286 + 1.8240309640255505111e-348j)  +/-  (8.02e-35, 2.86e-92j)
| (0.035714285714285714286 - 9.5631895408116842175e-347j)  +/-  (6.93e-36, 2.47e-93j)
| (0.035714285714285714286 - 7.2762434726540646892e-347j)  +/-  (7.12e-36, 2.54e-93j)
| (0.035714285714285714286 - 3.7325651140643193222e-347j)  +/-  (4.91e-37, 1.75e-94j)
| (0.035714285714285714286 - 1.445677409319134742e-347j)  +/-  (1.1e-37, 3.91e-95j)
| (0.035714285714285714286 + 9.6650614840500064476e-348j)  +/-  (2.32e-37, 8.26e-95j)
| (0.035714285714285714286 + 2.0519750916379624002e-347j)  +/-  (5.02e-38, 1.79e-95j)
| (0.035714285714285714286 + 5.9400717462206541936e-347j)  +/-  (1.55e-37, 5.53e-95j)
| (0.035714285714285714286 + 2.3757470169458765717e-346j)  +/-  (1.26e-36, 4.51e-94j)
| (0.035714285714285714286 - 3.0477614172710081014e-348j)  +/-  (5.64e-37, 2.01e-94j)
| (0.035714285714285714286 - 8.2419583326385648121e-348j)  +/-  (1.79e-37, 6.37e-95j)
| (0.035714285714285714286 + 1.6296578876779947389e-347j)  +/-  (7.4e-39, 2.64e-96j)
| (0.035714285714285714286 + 3.2801472928277236594e-347j)  +/-  (2.42e-39, 8.63e-97j)
| (0.035714285714285714286 - 4.9974044160154983517e-347j)  +/-  (4.94e-39, 1.76e-96j)
| (0.035714285714285714286 - 2.2993550222829590185e-347j)  +/-  (2.33e-39, 8.31e-97j)
| (0.035714285714285714286 - 1.1163502099719024098e-347j)  +/-  (1.2e-39, 4.28e-97j)
| (0.035714285714285714286 + 1.2754011237978324699e-347j)  +/-  (7.53e-40, 2.69e-97j)
| (0.035714285714285714286 - 1.8304418102024290614e-347j)  +/-  (2.87e-40, 1.02e-97j)
| (0.035714285714285714286 + 4.289129812445297569e-347j)  +/-  (5.26e-41, 1.96e-98j)
| (0.035714285714285714286 - 2.9024663674530092991e-347j)  +/-  (7.04e-41, 2.44e-98j)
