Starting with polynomial:
P : 64*t^7 - 112*t^5 + 56*t^3 - 7*t
Extension levels are: 7 22
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Trying to find an order 22 Kronrod extension for:
P1 : 64*t^7 - 112*t^5 + 56*t^3 - 7*t
Solvable: 1
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Ending with final polynomial:
P : 64*t^29 - 480*t^27 + 1616*t^25 - 3224*t^23 + 16951/4*t^21 - 30877/8*t^19 + 9975/4*t^17 - 18411/16*t^15 + 192831/512*t^13 - 87737/1024*t^11 + 26741/2048*t^9 - 5135/4096*t^7 + 17927/262144*t^5 - 917/524288*t^3 + 7/524288*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:
| (-1 + 3.136495939734433996e-341j)  +/-  (8.62e-118, 8.62e-118j)
| (-0.97492791218182360702 - 4.1545045306233687276e-351j)  +/-  (1.02e-117, 1.02e-117j)
| (-0.90096886790241912624 + 1.4063524495094851556e-360j)  +/-  (2.17e-118, 2.17e-118j)
| (0.11196447610330785847 - 1.0225188783777581359e-372j)  +/-  (5.5e-127, 5.5e-127j)
| (0.78183148246802980871 + 1.2877141072940049103e-371j)  +/-  (1.78e-119, 1.78e-119j)
| (0.9438833303083675629 - 7.6937413144157581292e-370j)  +/-  (4.71e-118, 4.71e-118j)
| (0.99371220989324258353 + 1.3523168087576415617e-368j)  +/-  (1.35e-117, 1.35e-117j)
| (-0.99371220989324258353 - 7.5940735203366280237e-373j)  +/-  (1.31e-117, 1.31e-117j)
| (-0.9438833303083675629 - 4.3012117773327271663e-384j)  +/-  (4.7e-118, 4.7e-118j)
| (0.97492791218182360702 - 7.0125437834889702631e-391j)  +/-  (1.08e-117, 1.08e-117j)
| (1 + 3.1659737240062593813e-393j)  +/-  (9.57e-118, 9.57e-118j)
| (0.90096886790241912624 - 7.1713979823323799164e-397j)  +/-  (2.1e-118, 2.1e-118j)
| (-0.84672419922828416835 + 2.3955763895294820467e-398j)  +/-  (5.36e-119, 5.36e-119j)
| (-0.78183148246802980871 - 6.2553791375175036505e-406j)  +/-  (1.56e-119, 1.56e-119j)
| (-0.22252093395631440429 - 6.9574808509027850693e-412j)  +/-  (1.03e-125, 1.03e-125j)
| (0.7071067811865475244 + 1.6524910382194136419e-406j)  +/-  (2.85e-120, 2.85e-120j)
| (0.62348980185873353053 - 1.0413938494112249496e-407j)  +/-  (3.25e-121, 3.25e-121j)
| (-0.11196447610330785847 + 7.9145159534875490809e-414j)  +/-  (5.5e-127, 5.5e-127j)
| (-0.7071067811865475244 - 1.9358095699648189913e-408j)  +/-  (2.25e-120, 2.25e-120j)
| (-0.33027906195516708177 + 4.9732232477340270724e-412j)  +/-  (2.28e-124, 2.28e-124j)
| (0.43388373911755812048 + 3.148995113222734122e-410j)  +/-  (3.17e-123, 3.17e-123j)
| (0.53203207651533656356 - 3.1415765189386151301e-409j)  +/-  (3.33e-122, 3.33e-122j)
| (-1.4204083879053533637e-414 + 1.0885541415280506527e-414j)  +/-  (5.19e-413, 5.19e-413j)
| (-0.43388373911755812048 - 2.7800373264383869248e-412j)  +/-  (3.04e-123, 3.04e-123j)
| (-0.62348980185873353053 + 4.8526043164070886906e-410j)  +/-  (3.49e-121, 3.49e-121j)
| (0.33027906195516708177 - 8.3769851480153374694e-412j)  +/-  (1.99e-124, 1.99e-124j)
| (0.84672419922828416835 - 1.9014111597399340525e-410j)  +/-  (6.41e-119, 6.41e-119j)
| (0.22252093395631440429 + 1.8546614055439504087e-418j)  +/-  (1.01e-125, 1.01e-125j)
| (-0.53203207651533656356 + 2.1340131144575024774e-414j)  +/-  (4.37e-122, 4.37e-122j)
-------------------------------------------------
The weights are:
| (0.017857142857142857143 + 1.4646315861734370136e-340j)  +/-  (1.44e-27, 2.62e-83j)
| (0.035714285714285714286 + 4.4678254539227474809e-341j)  +/-  (8.07e-28, 1.47e-83j)
| (0.035714285714285714286 + 1.1311363380469885166e-341j)  +/-  (2.4e-28, 4.35e-84j)
| (0.035714285714285714286 - 1.0073857081364690415e-342j)  +/-  (6.63e-29, 1.2e-84j)
| (0.035714285714285714286 + 6.2866614054414781851e-343j)  +/-  (1.99e-29, 3.63e-85j)
| (0.035714285714285714286 - 5.7625738320710504837e-343j)  +/-  (9.75e-30, 1.77e-85j)
| (0.035714285714285714286 - 5.6185497366414974376e-343j)  +/-  (2.47e-30, 4.5e-86j)
| (0.035714285714285714286 - 1.7815116318522646074e-340j)  +/-  (2.32e-28, 4.22e-84j)
| (0.035714285714285714286 - 1.9961575182936255207e-341j)  +/-  (6.34e-29, 1.15e-84j)
| (0.035714285714285714286 + 5.6719899206139389806e-343j)  +/-  (1.56e-30, 2.84e-86j)
| (0.017857142857142857143 + 2.8004428029586690358e-343j)  +/-  (1.25e-30, 2.28e-86j)
| (0.035714285714285714286 + 5.8926642098005642146e-343j)  +/-  (2.2e-31, 4.01e-87j)
| (0.035714285714285714286 - 7.3082451079455850704e-342j)  +/-  (3.97e-32, 7.21e-88j)
| (0.035714285714285714286 + 5.1344581419816279482e-342j)  +/-  (7.26e-33, 1.32e-88j)
| (0.035714285714285714286 + 1.4407810706474579902e-342j)  +/-  (5.72e-35, 1.04e-90j)
| (0.035714285714285714286 - 6.5618456532903316221e-343j)  +/-  (2.83e-34, 5.15e-90j)
| (0.035714285714285714286 + 6.8998100259116693678e-343j)  +/-  (8.2e-35, 1.49e-90j)
| (0.035714285714285714286 - 1.2614102601050383698e-342j)  +/-  (1.09e-35, 1.98e-91j)
| (0.035714285714285714286 - 3.8245239193636524129e-342j)  +/-  (2.17e-35, 3.94e-91j)
| (0.035714285714285714286 - 1.6726028074466336911e-342j)  +/-  (3.8e-36, 6.91e-92j)
| (0.035714285714285714286 + 7.8121893053344128875e-343j)  +/-  (6.8e-37, 1.24e-92j)
| (0.035714285714285714286 - 7.3117080141740036351e-343j)  +/-  (1.48e-36, 2.69e-92j)
| (0.035714285714285714286 + 1.1201771211815355217e-342j)  +/-  (6.89e-37, 1.25e-92j)
| (0.035714285714285714286 + 1.978705079822973647e-342j)  +/-  (1.58e-37, 2.86e-93j)
| (0.035714285714285714286 + 2.9751574504616100307e-342j)  +/-  (1.28e-37, 2.35e-93j)
| (0.035714285714285714286 - 8.4206175472395217703e-343j)  +/-  (3.19e-38, 5.92e-94j)
| (0.035714285714285714286 - 6.0657521120447374624e-343j)  +/-  (4.43e-38, 8.24e-94j)
| (0.035714285714285714286 + 9.1628461326803998708e-343j)  +/-  (2.59e-38, 4.81e-94j)
| (0.035714285714285714286 - 2.3937049207041709503e-342j)  +/-  (1.92e-38, 3.28e-94j)
