Starting with polynomial:
P : 14544636039226909/67108864*t^31 - 110873045217057585/67108864*t^29 + 381478443712926945/67108864*t^27 - 783034700252850045/67108864*t^25 + 1067774591253886425/67108864*t^23 - 1019422534291446285/67108864*t^21 + 699603700003933725/67108864*t^19 - 348782019535488825/67108864*t^17 + 126155198555389575/67108864*t^15 - 32706903329175075/67108864*t^13 + 5932880138780595/67108864*t^11 - 723521968143975/67108864*t^9 + 55655536011075/67108864*t^7 - 2429867476575/67108864*t^5 + 49589132175/67108864*t^3 - 300540195/67108864*t
Extension levels are: 31
-------------------------------------------------
Ending with final polynomial:
P : 14544636039226909/67108864*t^31 - 110873045217057585/67108864*t^29 + 381478443712926945/67108864*t^27 - 783034700252850045/67108864*t^25 + 1067774591253886425/67108864*t^23 - 1019422534291446285/67108864*t^21 + 699603700003933725/67108864*t^19 - 348782019535488825/67108864*t^17 + 126155198555389575/67108864*t^15 - 32706903329175075/67108864*t^13 + 5932880138780595/67108864*t^11 - 723521968143975/67108864*t^9 + 55655536011075/67108864*t^7 - 2429867476575/67108864*t^5 + 49589132175/67108864*t^3 - 300540195/67108864*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:
| (-0.99708748181947707406 - 4.4264328851326277727e-410j)  +/-  (2.89e-118, 2.89e-118j)
| (-0.96250392509294966179 - 6.4216221511199976096e-424j)  +/-  (1.12e-117, 1.12e-117j)
| (-0.93075699789664816496 - 1.178093318196818799e-435j)  +/-  (7.54e-118, 7.54e-118j)
| (0.99708748181947707406 - 4.7491327297190801756e-444j)  +/-  (3.07e-118, 3.07e-118j)
| (0.88976002994827104337 - 7.38554330536056554e-446j)  +/-  (4.11e-118, 4.11e-118j)
| (0.93075699789664816496 - 9.6724516131105441237e-445j)  +/-  (7.94e-118, 7.94e-118j)
| (0.984685909665152484 + 1.6410651791577291441e-445j)  +/-  (9.99e-118, 9.99e-118j)
| (-0.88976002994827104337 - 7.9124378174323476334e-448j)  +/-  (4.56e-118, 4.56e-118j)
| (-0.984685909665152484 + 1.6095061545620838865e-456j)  +/-  (9.4e-118, 9.4e-118j)
| (0.96250392509294966179 + 1.5458054715468008617e-465j)  +/-  (1.28e-117, 1.28e-117j)
| (0.83992032014626734009 - 1.5504173560512841397e-467j)  +/-  (1.84e-118, 1.84e-118j)
| (0.29471806998170161662 + 2.4389266906099434778e-473j)  +/-  (1.63e-124, 1.63e-124j)
| (-0.78173314841662494041 + 2.4769399133941619015e-466j)  +/-  (6.34e-119, 6.34e-119j)
| (-0.83992032014626734009 + 1.95574867063013302e-468j)  +/-  (1.57e-118, 1.57e-118j)
| (1.2626907607436283245e-480 + 1.365438156947930075e-480j)  +/-  (5.77e-479, 5.77e-479j)
| (0.71577678458685328391 + 1.3267254610506811795e-474j)  +/-  (1.33e-119, 1.33e-119j)
| (0.64270672292426034618 - 2.3217198519378993117e-476j)  +/-  (1.96e-120, 1.96e-120j)
| (-0.099555312152341520325 - 7.4077787610910223698e-480j)  +/-  (4.77e-127, 4.77e-127j)
| (-0.71577678458685328391 + 8.1161708740214029504e-473j)  +/-  (1.54e-119, 1.54e-119j)
| (-0.38838590160823294306 + 1.4183012546496723869e-478j)  +/-  (2.37e-123, 2.37e-123j)
| (0.38838590160823294306 - 5.5547281347027967947e-479j)  +/-  (2.99e-123, 2.99e-123j)
| (0.78173314841662494041 + 2.1946615587182675898e-476j)  +/-  (6.14e-119, 6.14e-119j)
| (0.099555312152341520325 - 5.2734856926455855842e-482j)  +/-  (4.77e-127, 4.77e-127j)
| (-0.47819378204490248044 - 1.199587051009197565e-476j)  +/-  (2.36e-122, 2.36e-122j)
| (-0.56324916140714926272 - 6.1026175363137602966e-475j)  +/-  (2.42e-121, 2.42e-121j)
| (0.19812119933557062877 - 3.0387663903826786522e-482j)  +/-  (8.88e-126, 8.88e-126j)
| (0.56324916140714926272 + 2.1552407517803344875e-478j)  +/-  (2.63e-121, 2.63e-121j)
| (0.47819378204490248044 + 1.2940314114381460412e-479j)  +/-  (2.6e-122, 2.6e-122j)
| (-0.29471806998170161662 + 1.4882595767271185364e-479j)  +/-  (1.66e-124, 1.66e-124j)
| (-0.64270672292426034618 + 1.0505570107461562399e-478j)  +/-  (2.17e-120, 2.17e-120j)
| (-0.19812119933557062877 + 5.2630294183306544722e-486j)  +/-  (9.92e-126, 9.92e-126j)
-------------------------------------------------
The weights are:
| (0.0074708315792487758587 - 5.6687898710777113756e-410j)  +/-  (1.55e-25, 1.08e-81j)
| (0.027009019184979421801 - 6.4667848346488658036e-410j)  +/-  (8.72e-26, 6.1e-82j)
| (0.036432273912385464024 + 5.278216696569143279e-410j)  +/-  (6.23e-26, 4.36e-82j)
| (0.0074708315792487758587 - 1.6582865187180005377e-412j)  +/-  (1.48e-27, 1.04e-83j)
| (0.045493707527201102902 - 2.5883155675047395748e-411j)  +/-  (9.99e-28, 6.99e-84j)
| (0.036432273912385464024 + 1.8160524431127188736e-411j)  +/-  (9.67e-28, 6.77e-84j)
| (0.017318620790310582463 + 5.8076394068045279932e-412j)  +/-  (6.52e-28, 4.57e-84j)
| (0.045493707527201102902 - 4.550333305291377766e-410j)  +/-  (1.25e-28, 8.74e-85j)
| (0.017318620790310582463 + 9.2806178930541190336e-410j)  +/-  (5.65e-28, 3.96e-84j)
| (0.027009019184979421801 - 1.1412808781382954526e-411j)  +/-  (2.48e-28, 1.74e-84j)
| (0.054103082424916853712 + 3.4472525739495488657e-411j)  +/-  (1.69e-29, 1.18e-85j)
| (0.095290242912319512807 - 1.1455170111602617368e-410j)  +/-  (2.12e-32, 1.49e-88j)
| (0.06217478656102842691 - 3.6222151923801919112e-410j)  +/-  (1.22e-30, 8.57e-87j)
| (0.054103082424916853712 + 4.0292321921922641048e-410j)  +/-  (5.96e-30, 4.17e-86j)
| (0.099720544793426451428 + 1.5887828632578709796e-410j)  +/-  (7.46e-33, 5.22e-89j)
| (0.069628583235410366168 + 5.3968020301270034272e-411j)  +/-  (3.47e-32, 2.43e-88j)
| (0.076390386598776616426 - 6.4778059737809368765e-411j)  +/-  (1.17e-32, 8.2e-89j)
| (0.099225011226672307875 - 1.751874958449222082e-410j)  +/-  (1.75e-33, 1.23e-89j)
| (0.069628583235410366168 + 3.2860426003031003977e-410j)  +/-  (5.76e-33, 4.03e-89j)
| (0.091890113893641478215 + 2.3021270961477809325e-410j)  +/-  (2.4e-34, 1.68e-90j)
| (0.091890113893641478215 + 1.0114293194181689863e-410j)  +/-  (5.84e-34, 4.09e-90j)
| (0.06217478656102842691 - 4.3852636119538485202e-411j)  +/-  (1.05e-32, 7.35e-89j)
| (0.099225011226672307875 - 1.4337978976250489005e-410j)  +/-  (3.81e-34, 2.67e-90j)
| (0.087576740608477876126 - 2.5127066617667517769e-410j)  +/-  (3.9e-35, 2.73e-91j)
| (0.082392991761589263904 + 2.7425445543685440181e-410j)  +/-  (3.05e-35, 2.14e-91j)
| (0.097743335386328725093 + 1.2862046350079604473e-410j)  +/-  (7.03e-35, 4.92e-91j)
| (0.082392991761589263904 + 7.6254116590044901616e-411j)  +/-  (2.53e-35, 1.77e-91j)
| (0.087576740608477876126 - 8.8378242719432308422e-411j)  +/-  (1.75e-35, 1.22e-91j)
| (0.095290242912319512807 - 2.106847493297873756e-410j)  +/-  (1.52e-36, 1.07e-92j)
| (0.076390386598776616426 - 2.9974168824445521271e-410j)  +/-  (1.05e-36, 7.51e-93j)
| (0.097743335386328725093 + 1.924089888654768776e-410j)  +/-  (1.54e-36, 1.07e-92j)
