Starting with polynomial:
P : 268435456*t^28 - 50734301184*t^26 + 4122161971200*t^24 - 189619450675200*t^22 + 5475261638246400*t^20 - 104029971126681600*t^18 + 1326382131865190400*t^16 - 11368989701701632000*t^14 + 64661128928428032000*t^12 - 237090806070902784000*t^10 + 533454313659531264000*t^8 - 678941853748494336000*t^6 + 424338658592808960000*t^4 - 97924305829109760000*t^2 + 3497296636753920000
Extension levels are: 28
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Ending with final polynomial:
P : 268435456*t^28 - 50734301184*t^26 + 4122161971200*t^24 - 189619450675200*t^22 + 5475261638246400*t^20 - 104029971126681600*t^18 + 1326382131865190400*t^16 - 11368989701701632000*t^14 + 64661128928428032000*t^12 - 237090806070902784000*t^10 + 533454313659531264000*t^8 - 678941853748494336000*t^6 + 424338658592808960000*t^4 - 97924305829109760000*t^2 + 3497296636753920000
-------------------------------------------------
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:
| (-4.1766367421292683594 + 7.5190727687621148463e-357j)  +/-  (4.36e-121, 4.36e-121j)
| (-5.857014641382850645 - 2.1780922987419336704e-358j)  +/-  (1e-121, 1e-121j)
| (-3.6891342384616794908 + 2.4551238747346062082e-357j)  +/-  (3.78e-121, 3.78e-121j)
| (4.1766367421292683594 - 8.1528050491089223398e-360j)  +/-  (3.84e-121, 3.84e-121j)
| (5.2432853732029359815 - 1.3962531147937118e-370j)  +/-  (3.31e-121, 3.31e-121j)
| (-6.591605442367742544 - 1.1953190861848375236e-380j)  +/-  (1.37e-122, 1.37e-122j)
| (6.591605442367742544 + 1.0280159209228018118e-379j)  +/-  (1.61e-122, 1.61e-122j)
| (-2.7677953529135937633 - 2.2824466897180315056e-387j)  +/-  (5.63e-122, 5.63e-122j)
| (-5.2432853732029359815 + 1.7695208691019054845e-385j)  +/-  (3.19e-121, 3.19e-121j)
| (5.857014641382850645 + 2.7268959026077848856e-388j)  +/-  (1.17e-121, 1.17e-121j)
| (1.892360496837685346 + 8.2042687896972218865e-397j)  +/-  (3.81e-123, 3.81e-123j)
| (-4.6907565239431179254 - 3.1832713021251446085e-405j)  +/-  (4.23e-121, 4.23e-121j)
| (-3.2211120765614555476 - 7.015444113217133966e-406j)  +/-  (1.71e-121, 1.71e-121j)
| (3.2211120765614555476 + 9.6552337855696365521e-413j)  +/-  (1.56e-121, 1.56e-121j)
| (-0.20806738269073686914 - 1.0854967363595516484e-432j)  +/-  (6.59e-127, 6.59e-127j)
| (1.4655372634574091896 + 2.8006292831134739013e-427j)  +/-  (5.6e-124, 5.6e-124j)
| (3.6891342384616794908 - 3.2235174046893035717e-428j)  +/-  (3.45e-121, 3.45e-121j)
| (2.7677953529135937633 - 1.8564509148200666264e-439j)  +/-  (6.35e-122, 6.35e-122j)
| (-1.0435352737542082748 - 5.9579728501605097907e-456j)  +/-  (7.82e-125, 7.82e-125j)
| (4.6907565239431179254 - 2.2182020638833828968e-455j)  +/-  (4.51e-121, 4.51e-121j)
| (2.3257498426564410218 - 3.192669997292800235e-467j)  +/-  (1.99e-122, 1.99e-122j)
| (1.0435352737542082748 + 2.0558093158767085109e-481j)  +/-  (8.99e-125, 8.99e-125j)
| (-2.3257498426564410218 + 1.0084921952701441053e-477j)  +/-  (1.84e-122, 1.84e-122j)
| (-1.4655372634574091896 - 3.5490648620345392467e-479j)  +/-  (5.5e-124, 5.5e-124j)
| (-0.62483671950520922741 + 2.8421124516500649712e-481j)  +/-  (6.45e-126, 6.45e-126j)
| (-1.892360496837685346 + 2.1042491032443060324e-478j)  +/-  (3.67e-123, 3.67e-123j)
| (0.62483671950520922741 - 3.4801601079130818755e-482j)  +/-  (6.45e-126, 6.45e-126j)
| (0.20806738269073686914 - 1.5629422106601130089e-481j)  +/-  (4.38e-127, 4.38e-127j)
-------------------------------------------------
The weights are:
| (7.479362584613639141e-09 + 4.8526158774917024532e-364j)  +/-  (6.81e-33, 2.99e-94j)
| (4.6917655695003629924e-16 - 5.718957718310821873e-369j)  +/-  (2.79e-37, 1.23e-98j)
| (3.3048644499265095148e-07 + 2.2265335416334023336e-363j)  +/-  (1.03e-31, 4.55e-93j)
| (7.479362584613639141e-09 + 9.0404022597345877671e-366j)  +/-  (2.62e-35, 1.15e-96j)
| (3.7459010351765662117e-13 + 5.4052401212097598793e-368j)  +/-  (5.44e-38, 2.39e-99j)
| (6.4325474388018547484e-20 + 5.5020147526430242738e-371j)  +/-  (1.07e-39, 4.71e-101j)
| (6.4325474388018547484e-20 + 1.9429015021944225279e-371j)  +/-  (3.69e-41, 1.62e-102j)
| (0.00011882853814017847919 + 1.1668649200951795777e-362j)  +/-  (6.35e-32, 2.79e-93j)
| (3.7459010351765662117e-13 + 1.8265598617132612398e-367j)  +/-  (4.38e-37, 1.92e-98j)
| (4.6917655695003629924e-16 - 1.7896087347426347029e-369j)  +/-  (5.06e-40, 2.22e-101j)
| (0.0067524597090301438858 - 1.1999984281439907183e-362j)  +/-  (5.65e-32, 2.49e-93j)
| (8.3266098438822581896e-11 - 1.3159074420601163131e-366j)  +/-  (4.09e-36, 1.8e-97j)
| (8.0935840571451523159e-06 - 6.6435254135543913112e-363j)  +/-  (1.14e-33, 5e-95j)
| (8.0935840571451523159e-06 + 3.3309267562897354169e-364j)  +/-  (2.11e-36, 9.27e-98j)
| (0.22488862975067654782 + 1.1464579710600028567e-361j)  +/-  (3.04e-32, 1.33e-93j)
| (0.027935784767880889556 + 2.6544668114408129158e-362j)  +/-  (3e-32, 1.32e-93j)
| (3.3048644499265095148e-07 - 6.3274669653986949129e-365j)  +/-  (2.7e-37, 1.19e-98j)
| (0.00011882853814017847919 - 1.3674809915360425427e-363j)  +/-  (4.76e-36, 2.09e-97j)
| (0.079773366011599607645 + 9.2097012383318026885e-362j)  +/-  (6.17e-34, 2.71e-95j)
| (8.3266098438822581896e-11 - 8.5521555727626983278e-367j)  +/-  (2.25e-39, 9.91e-101j)
| (0.0011043059278575986049 + 4.4870687064950799097e-363j)  +/-  (1.29e-35, 5.65e-97j)
| (0.079773366011599607645 - 4.9110937174208583689e-362j)  +/-  (8.05e-35, 3.54e-96j)
| (0.0011043059278575986049 - 2.2729877362580281689e-362j)  +/-  (1.09e-36, 4.77e-98j)
| (0.027935784767880889556 - 6.6021158275979132472e-362j)  +/-  (3.98e-36, 1.75e-97j)
| (0.15941819366130915381 - 1.1086109252690023364e-361j)  +/-  (9.06e-36, 3.97e-97j)
| (0.0067524597090301438858 + 4.1165575026792823347e-362j)  +/-  (1.44e-36, 6.33e-98j)
| (0.15941819366130915381 + 7.6634369141938090832e-362j)  +/-  (1.97e-36, 9.12e-98j)
| (0.22488862975067654782 - 1.0149779534259370935e-361j)  +/-  (2.26e-36, 9.35e-98j)
