Starting with polynomial:
P : 14023284727082855679/4294967296*t^35 - 120925426269772451145/4294967296*t^33 + 59560284580634192355/536870912*t^31 - 142028370923050766385/536870912*t^29 + 457646972974274691685/1073741824*t^27 - 526669139390066940267/1073741824*t^25 + 223164889572062262825/536870912*t^23 - 141505556545693615275/536870912*t^21 + 270146971587233265525/2147483648*t^19 - 96845140757687397075/2147483648*t^17 + 6456342717179159805/536870912*t^15 - 1257729100749186975/536870912*t^13 + 347882517228498525/1073741824*t^11 - 32706903329175075/1073741824*t^9 + 977947275623175/536870912*t^7 - 33393321606645/536870912*t^5 + 4281195077775/4294967296*t^3 - 20419054425/4294967296*t
Extension levels are: 35
-------------------------------------------------
Ending with final polynomial:
P : 14023284727082855679/4294967296*t^35 - 120925426269772451145/4294967296*t^33 + 59560284580634192355/536870912*t^31 - 142028370923050766385/536870912*t^29 + 457646972974274691685/1073741824*t^27 - 526669139390066940267/1073741824*t^25 + 223164889572062262825/536870912*t^23 - 141505556545693615275/536870912*t^21 + 270146971587233265525/2147483648*t^19 - 96845140757687397075/2147483648*t^17 + 6456342717179159805/536870912*t^15 - 1257729100749186975/536870912*t^13 + 347882517228498525/1073741824*t^11 - 32706903329175075/1073741824*t^9 + 977947275623175/536870912*t^7 - 33393321606645/536870912*t^5 + 4281195077775/4294967296*t^3 - 20419054425/4294967296*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:
| (-0.98793576444385149804 - 4.3618212602313571528e-435j)  +/-  (2.76e-116, 2.76e-116j)
| (-0.99770656909960029726 + 7.6254428760864018007e-436j)  +/-  (9.25e-117, 9.25e-117j)
| (-0.91285426135931761446 - 3.601635031152895997e-436j)  +/-  (1.7e-116, 1.7e-116j)
| (0.98793576444385149804 + 4.4822607917292814411e-434j)  +/-  (2.94e-116, 2.94e-116j)
| (0.87321912502522233152 - 1.6311146739104903962e-444j)  +/-  (8.59e-117, 8.59e-117j)
| (0.91285426135931761446 - 5.1806064121581117658e-445j)  +/-  (1.71e-116, 1.71e-116j)
| (0.99770656909960029726 - 9.31456442473131584e-444j)  +/-  (9.23e-117, 9.23e-117j)
| (-0.87321912502522233152 - 5.7562432055931154949e-459j)  +/-  (7.63e-117, 7.63e-117j)
| (-0.088371343275659263601 - 3.6516231714172331913e-469j)  +/-  (4.06e-127, 4.06e-127j)
| (0.94534514820782732954 + 9.0517039811625545278e-457j)  +/-  (2.7e-116, 2.7e-116j)
| (0.82674989909222540683 - 2.2064632182090855998e-467j)  +/-  (2.81e-117, 2.81e-117j)
| (0.97043761603922983322 + 3.7348127226367333575e-479j)  +/-  (3.09e-116, 3.09e-116j)
| (-0.94534514820782732954 + 6.3334290222546715543e-488j)  +/-  (2.79e-116, 2.79e-116j)
| (-0.82674989909222540683 + 3.4636002033460845977e-490j)  +/-  (2.9e-117, 2.9e-117j)
| (-0.42813754151781425419 - 4.837910461654211459e-497j)  +/-  (4.02e-122, 4.02e-122j)
| (0.77381025228691255527 - 1.9596692537783744609e-493j)  +/-  (9.47e-118, 9.47e-118j)
| (0.65022436466589038868 + 3.9065460872017658618e-495j)  +/-  (3.57e-119, 3.57e-119j)
| (-0.34660155443081394588 + 6.3159520144379224894e-499j)  +/-  (2.78e-123, 2.78e-123j)
| (-0.77381025228691255527 - 3.6063918233520316077e-491j)  +/-  (8.46e-118, 8.46e-118j)
| (-0.97043761603922983322 + 1.8005892053684235335e-494j)  +/-  (3.37e-116, 3.37e-116j)
| (0.42813754151781425419 + 4.8526335072558341868e-503j)  +/-  (4.03e-122, 4.03e-122j)
| (0.71481450155662878326 - 3.9290808161146107967e-501j)  +/-  (1.78e-118, 1.78e-118j)
| (0.17605106116598956997 - 2.0645618277763018577e-506j)  +/-  (1.06e-125, 1.06e-125j)
| (-0.71481450155662878326 + 2.3620193795225011811e-498j)  +/-  (1.75e-118, 1.75e-118j)
| (-0.58054534474976450993 - 1.8190956152847331809e-500j)  +/-  (5.07e-120, 5.07e-120j)
| (0.088371343275659263601 - 9.6341871714804425655e-509j)  +/-  (4.06e-127, 4.06e-127j)
| (0.58054534474976450993 + 8.1590925220226130559e-503j)  +/-  (4.38e-120, 4.38e-120j)
| (0.34660155443081394588 - 2.2759967580498622298e-506j)  +/-  (3.07e-123, 3.07e-123j)
| (-0.17605106116598956997 - 1.8671381949957451988e-508j)  +/-  (1.18e-125, 1.18e-125j)
| (-0.65022436466589038868 - 8.8488475710032597746e-504j)  +/-  (2.79e-119, 2.79e-119j)
| (-0.26235294120929605797 - 2.3520414484129441341e-509j)  +/-  (2.11e-124, 2.11e-124j)
| (0.26235294120929605797 - 1.5569070160151052981e-510j)  +/-  (1.91e-124, 1.91e-124j)
| (0.50632277324148861502 + 4.5337027000057477641e-508j)  +/-  (4.91e-121, 4.91e-121j)
| (-2.2517368729972896792e-520 - 6.85864481421942178e-521j)  +/-  (8.24e-519, 8.24e-519j)
| (-0.50632277324148861502 - 2.3610073741454982477e-507j)  +/-  (5.37e-121, 5.37e-121j)
-------------------------------------------------
The weights are:
| (0.013650828348361492266 - 4.4030083252574482944e-435j)  +/-  (5.79e-23, 7.83e-78j)
| (0.0058834334204430849758 - 6.729515837514288631e-436j)  +/-  (3.53e-23, 4.77e-78j)
| (0.036110115863463380533 + 5.4996690285077538808e-435j)  +/-  (7.86e-24, 1.06e-78j)
| (0.013650828348361492266 - 2.5241179799357049306e-434j)  +/-  (7.05e-24, 9.54e-79j)
| (0.043108422326170218782 - 3.0042574203963247483e-434j)  +/-  (3.17e-24, 4.29e-79j)
| (0.036110115863463380533 + 3.5106160723403683041e-434j)  +/-  (2.81e-24, 3.8e-79j)
| (0.0058834334204430849758 - 1.7958412782035878065e-434j)  +/-  (5.97e-25, 8.08e-80j)
| (0.043108422326170218782 - 5.015333856274377632e-435j)  +/-  (4.76e-26, 6.44e-81j)
| (0.088140530430275462971 + 1.0593960434237510403e-434j)  +/-  (9.85e-28, 1.33e-82j)
| (0.028829260108894254049 - 4.4072184045056568942e-434j)  +/-  (5.06e-25, 6.85e-80j)
| (0.049769370401353529805 + 2.6605247387975800946e-434j)  +/-  (2.45e-26, 3.32e-81j)
| (0.021322979911483580883 + 6.8181179867841691985e-434j)  +/-  (5.27e-25, 7.14e-80j)
| (0.028829260108894254049 - 6.4454366273158128272e-435j)  +/-  (2.15e-27, 2.91e-82j)
| (0.049769370401353529805 + 5.291055934798179974e-435j)  +/-  (2.95e-28, 3.99e-83j)
| (0.079964942242324262933 + 7.9042702110616397867e-435j)  +/-  (4.25e-30, 5.76e-85j)
| (0.056040816212370128578 - 2.4019293192972325463e-434j)  +/-  (6.81e-28, 9.22e-83j)
| (0.067222285269086903964 - 2.0202213347830802559e-434j)  +/-  (2.92e-29, 3.95e-84j)
| (0.08300059372885658838 - 8.5129700458817418171e-435j)  +/-  (2.84e-30, 3.84e-85j)
| (0.056040816212370128578 - 5.5806310753626393831e-435j)  +/-  (1.57e-29, 2.12e-84j)
| (0.021322979911483580883 + 8.4559153013350380267e-435j)  +/-  (2.07e-28, 2.8e-83j)
| (0.079964942242324262933 + 1.6154217005139181551e-434j)  +/-  (1.95e-31, 2.64e-86j)
| (0.061873671966080188887 + 2.1943536470277812715e-434j)  +/-  (2.44e-29, 3.3e-84j)
| (0.087104446997183534243 - 1.3091329470487643702e-434j)  +/-  (3.08e-32, 4.17e-87j)
| (0.061873671966080188887 + 5.9346000416091818987e-435j)  +/-  (2.58e-31, 3.49e-86j)
| (0.072044794772560064665 + 6.8196913818990529656e-435j)  +/-  (4.91e-32, 6.65e-87j)
| (0.088140530430275462971 + 1.2206705671980412449e-434j)  +/-  (1.07e-32, 1.46e-87j)
| (0.072044794772560064665 + 1.8694686922874144058e-434j)  +/-  (4.12e-32, 5.57e-87j)
| (0.08300059372885658838 - 1.5053305381619387063e-434j)  +/-  (5.56e-33, 7.53e-88j)
| (0.087104446997183534243 - 9.8573656378941518279e-435j)  +/-  (2.89e-33, 3.91e-88j)
| (0.067222285269086903964 - 6.3497886952254812865e-435j)  +/-  (4.73e-33, 6.36e-88j)
| (0.085386653392099125226 + 9.164028328321236053e-435j)  +/-  (2.2e-33, 2.98e-88j)
| (0.085386653392099125226 + 1.4036907468150233138e-434j)  +/-  (9.72e-34, 1.32e-88j)
| (0.076303457155442053539 - 1.7358850409746804525e-434j)  +/-  (1.03e-33, 1.38e-88j)
| (0.088486794907104290638 - 1.1375929765630406954e-434j)  +/-  (5.57e-34, 7.69e-89j)
| (0.076303457155442053539 - 7.339073933749356879e-435j)  +/-  (3e-34, 3.71e-89j)
