Starting with polynomial:
P : 263012370465/524288*t^22 - 1412926920405/524288*t^20 + 3273855059475/524288*t^18 - 4281195077775/524288*t^16 + 1735619626125/262144*t^14 - 902522205585/262144*t^12 + 300840735195/262144*t^10 - 62386327575/262144*t^8 + 15058768725/524288*t^6 - 929553625/524288*t^4 + 22309287/524288*t^2 - 88179/524288
Extension levels are: 22
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Ending with final polynomial:
P : 263012370465/524288*t^22 - 1412926920405/524288*t^20 + 3273855059475/524288*t^18 - 4281195077775/524288*t^16 + 1735619626125/262144*t^14 - 902522205585/262144*t^12 + 300840735195/262144*t^10 - 62386327575/262144*t^8 + 15058768725/524288*t^6 - 929553625/524288*t^4 + 22309287/524288*t^2 - 88179/524288
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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
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The nodes are:
| (0.99429458548239929207 + 3.0912793520974890536e-476j)  +/-  (1.81e-121, 1.81e-121j)
| (-0.46935583798675702641 + 9.2294960439307898559e-491j)  +/-  (4.81e-124, 4.81e-124j)
| (-0.92695677218717400052 - 8.1199659501206313966e-487j)  +/-  (4.76e-121, 4.76e-121j)
| (-0.99429458548239929207 + 6.7620999293968680146e-488j)  +/-  (2.06e-121, 2.06e-121j)
| (0.58764040350691159296 + 2.7862756206484479459e-491j)  +/-  (4.84e-123, 4.84e-123j)
| (0.92695677218717400052 + 3.3317032026788163965e-502j)  +/-  (6.23e-121, 6.23e-121j)
| (-0.58764040350691159296 + 1.5006005061168113357e-517j)  +/-  (4.53e-123, 4.53e-123j)
| (-0.97006049783542872712 - 3.5938919457684701129e-516j)  +/-  (4.95e-121, 4.95e-121j)
| (-0.86581257772030013654 + 5.1831462741111606758e-517j)  +/-  (3.07e-121, 3.07e-121j)
| (0.97006049783542872712 - 1.0206916224716790252e-516j)  +/-  (4.87e-121, 4.87e-121j)
| (0.86581257772030013654 + 8.7117396499658267325e-529j)  +/-  (2.86e-121, 2.86e-121j)
| (0.20786042668822128548 + 4.3020588456275112978e-540j)  +/-  (2.53e-126, 2.53e-126j)
| (-0.34193582089208422516 + 2.5071214530260002934e-539j)  +/-  (4.12e-125, 4.12e-125j)
| (-0.787816805979208162 + 1.1812370989843583477e-535j)  +/-  (1.03e-121, 1.03e-121j)
| (-0.069739273319722221214 + 1.0588533089922150542e-540j)  +/-  (1.65e-127, 1.65e-127j)
| (0.787816805979208162 + 3.265225924003807233e-537j)  +/-  (9.82e-122, 9.82e-122j)
| (0.46935583798675702641 + 4.102429335125649263e-545j)  +/-  (5.31e-124, 5.31e-124j)
| (0.069739273319722221214 + 6.3228683785283628552e-546j)  +/-  (1.65e-127, 1.65e-127j)
| (-0.69448726318668278005 - 4.2865214300989791951e-543j)  +/-  (2.22e-122, 2.22e-122j)
| (0.34193582089208422516 - 6.8911903210520224778e-546j)  +/-  (3.24e-125, 3.24e-125j)
| (-0.20786042668822128548 + 9.2373171511196474357e-547j)  +/-  (2.34e-126, 2.34e-126j)
| (0.69448726318668278005 - 1.1958161057933055602e-544j)  +/-  (2.46e-122, 2.46e-122j)
-------------------------------------------------
The weights are:
| (0.014627995298272200685 - 3.9514967272204105731e-476j)  +/-  (1.08e-41, 2.45e-100j)
| (0.12325237681051242429 - 7.423656664966491265e-477j)  +/-  (5.96e-42, 1.35e-100j)
| (0.05229333515268328594 + 1.5651549896006613469e-477j)  +/-  (2.29e-42, 5.18e-101j)
| (0.014627995298272200685 + 2.2739347334489956904e-478j)  +/-  (7.31e-43, 1.65e-101j)
| (0.11293229608053921839 - 2.3436370933041292341e-476j)  +/-  (1.84e-43, 4.16e-102j)
| (0.05229333515268328594 - 4.4656278574093000273e-476j)  +/-  (7.91e-44, 1.79e-102j)
| (0.11293229608053921839 + 6.0245827521797078499e-477j)  +/-  (4.22e-43, 9.55e-102j)
| (0.033774901584814154793 - 7.9640049776385465298e-478j)  +/-  (7.35e-43, 1.66e-101j)
| (0.069796468424520488095 - 2.4909274286651248119e-477j)  +/-  (3.59e-43, 8.13e-102j)
| (0.033774901584814154793 + 6.4554250510456811491e-476j)  +/-  (3.03e-44, 6.85e-103j)
| (0.069796468424520488095 + 3.606257432945045019e-476j)  +/-  (1.53e-44, 3.47e-103j)
| (0.13654149834601517135 + 1.6109111862755187234e-476j)  +/-  (9.15e-46, 2.07e-104j)
| (0.13117350478706237073 + 8.9275874356270075728e-477j)  +/-  (3.28e-45, 7.42e-104j)
| (0.085941606217067727414 + 3.5512094557992503141e-477j)  +/-  (5.99e-45, 1.35e-103j)
| (0.13925187285563199338 + 1.2262493509840367319e-476j)  +/-  (5.27e-46, 1.19e-104j)
| (0.085941606217067727414 - 3.065051765322826361e-476j)  +/-  (2.2e-46, 4.96e-105j)
| (0.12325237681051242429 + 2.0698868722456747902e-476j)  +/-  (7.86e-47, 1.78e-105j)
| (0.13925187285563199338 - 1.4112415034791779074e-476j)  +/-  (8.64e-47, 1.97e-105j)
| (0.10041414444288096493 - 4.7320585657881647117e-477j)  +/-  (1.42e-46, 3.24e-105j)
| (0.13117350478706237073 - 1.8286431385344920249e-476j)  +/-  (3e-47, 6.74e-106j)
| (0.13654149834601517135 - 1.053837126518440991e-476j)  +/-  (3.59e-47, 8.48e-106j)
| (0.10041414444288096493 + 2.6655168233560315841e-476j)  +/-  (1.6e-47, 3.47e-106j)
