Starting with polynomial:
P : 916312070471295267/2147483648*t^32 - 450883717216034179/134217728*t^30 + 3215318311294669965/268435456*t^28 - 3433305993416342505/134217728*t^26 + 19575867506321251125/536870912*t^24 - 4911763119767877555/134217728*t^22 + 7135957740040123995/268435456*t^20 - 1898924328582105825/134217728*t^18 + 5929294332103310025/1073741824*t^16 - 210258664258982625/134217728*t^14 + 85037948655855195/268435456*t^12 - 5932880138780595/134217728*t^10 + 2170565904431925/536870912*t^8 - 29968365544425/134217728*t^6 + 1735619626125/268435456*t^4 - 9917826435/134217728*t^2 + 300540195/2147483648
Extension levels are: 32
-------------------------------------------------
Ending with final polynomial:
P : 916312070471295267/2147483648*t^32 - 450883717216034179/134217728*t^30 + 3215318311294669965/268435456*t^28 - 3433305993416342505/134217728*t^26 + 19575867506321251125/536870912*t^24 - 4911763119767877555/134217728*t^22 + 7135957740040123995/268435456*t^20 - 1898924328582105825/134217728*t^18 + 5929294332103310025/1073741824*t^16 - 210258664258982625/134217728*t^14 + 85037948655855195/268435456*t^12 - 5932880138780595/134217728*t^10 + 2170565904431925/536870912*t^8 - 29968365544425/134217728*t^6 + 1735619626125/268435456*t^4 - 9917826435/134217728*t^2 + 300540195/2147483648
-------------------------------------------------
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:
| (-0.99726386184948156354 + 3.155584703881772957e-431j)  +/-  (8.28e-118, 8.28e-118j)
| (-0.9856115115452683354 + 2.3352210215512956727e-433j)  +/-  (2.08e-117, 2.08e-117j)
| (-0.89632115576605212397 - 2.033433971079478686e-434j)  +/-  (1.29e-117, 1.29e-117j)
| (0.9856115115452683354 + 1.2762662876078415986e-433j)  +/-  (2.54e-117, 2.54e-117j)
| (0.73218211874028968039 + 1.189593606009248888e-437j)  +/-  (4.15e-119, 4.15e-119j)
| (0.96476225558750643077 + 2.0351679455429159729e-438j)  +/-  (3.11e-117, 3.11e-117j)
| (0.42135127613063534536 - 3.4740591531930634063e-452j)  +/-  (8.78e-123, 8.78e-123j)
| (-0.93490607593773968917 - 4.4483972811310898238e-450j)  +/-  (2.59e-117, 2.59e-117j)
| (-0.96476225558750643077 - 5.6217574288944806705e-453j)  +/-  (3.22e-117, 3.22e-117j)
| (0.93490607593773968917 + 1.621109605211198137e-449j)  +/-  (2.36e-117, 2.36e-117j)
| (0.89632115576605212397 - 1.4106166909459804672e-462j)  +/-  (1.15e-117, 1.15e-117j)
| (0.99726386184948156354 + 8.4384238903739458495e-466j)  +/-  (1e-117, 1e-117j)
| (-0.84936761373256997013 + 2.7827517386859548482e-475j)  +/-  (5.78e-118, 5.78e-118j)
| (-0.79448379596794240696 - 3.049738949747261472e-476j)  +/-  (1.57e-118, 1.57e-118j)
| (-0.048307665687738316235 + 3.9498056047524330852e-479j)  +/-  (1.61e-127, 1.61e-127j)
| (0.79448379596794240696 + 1.6560259366584580758e-476j)  +/-  (1.49e-118, 1.49e-118j)
| (0.84936761373256997013 - 9.0065264216776392463e-488j)  +/-  (5.54e-118, 5.54e-118j)
| (-0.33186860228212764978 - 1.5769685209375815163e-496j)  +/-  (7.37e-124, 7.37e-124j)
| (-0.73218211874028968039 - 1.5415172211863104924e-492j)  +/-  (3.57e-119, 3.57e-119j)
| (-0.42135127613063534536 - 3.3874782251518979713e-496j)  +/-  (9.75e-123, 9.75e-123j)
| (0.50689990893222939002 - 7.0442407685756396555e-494j)  +/-  (1.2e-121, 1.2e-121j)
| (0.66304426693021520098 - 2.2686279303153041042e-499j)  +/-  (7.49e-120, 7.49e-120j)
| (0.048307665687738316235 - 3.078256522041824645e-507j)  +/-  (1.61e-127, 1.61e-127j)
| (-0.50689990893222939002 - 5.2462291534640994993e-500j)  +/-  (1.12e-121, 1.12e-121j)
| (-0.58771575724076232904 + 3.9469350035732299521e-498j)  +/-  (1.01e-120, 1.01e-120j)
| (0.14447196158279649349 - 4.3884928632960278391e-506j)  +/-  (3e-126, 3e-126j)
| (0.58771575724076232904 - 3.2015046373005223951e-501j)  +/-  (1.07e-120, 1.07e-120j)
| (0.33186860228212764978 + 1.7205513694713904522e-503j)  +/-  (7.84e-124, 7.84e-124j)
| (-0.14447196158279649349 + 1.363328850493122584e-505j)  +/-  (2.23e-126, 2.23e-126j)
| (-0.66304426693021520098 + 8.5181620510699754455e-502j)  +/-  (6.59e-120, 6.59e-120j)
| (-0.23928736225213707454 - 4.3251924532660076586e-507j)  +/-  (3.92e-125, 3.92e-125j)
| (0.23928736225213707454 + 1.1734473527917165776e-507j)  +/-  (4.42e-125, 4.42e-125j)
-------------------------------------------------
The weights are:
| (0.0070186100094700966004 + 4.0511281916123493222e-431j)  +/-  (1.07e-23, 2.95e-79j)
| (0.016274394730905670605 - 6.6047923902390592459e-431j)  +/-  (7.89e-24, 2.17e-79j)
| (0.042835898022226680657 + 3.232256045128708365e-431j)  +/-  (1.07e-24, 2.94e-80j)
| (0.016274394730905670605 + 3.1520130831340832252e-433j)  +/-  (5.14e-26, 1.42e-81j)
| (0.065822222776361846838 + 3.528021462481225114e-432j)  +/-  (5.64e-26, 1.56e-81j)
| (0.025392065309262059456 - 5.6651302697009097125e-433j)  +/-  (3.99e-26, 1.1e-81j)
| (0.087652093004403811143 + 6.6871087937365000867e-432j)  +/-  (4.1e-26, 1.13e-81j)
| (0.034273862913021433103 - 3.7464383703281992159e-431j)  +/-  (5.77e-25, 1.59e-80j)
| (0.025392065309262059456 + 4.578338800437930311e-431j)  +/-  (9.71e-25, 2.68e-80j)
| (0.034273862913021433103 + 1.0848792976761793555e-432j)  +/-  (8.49e-27, 2.34e-82j)
| (0.042835898022226680657 - 1.6250833071451824019e-432j)  +/-  (2.9e-27, 7.98e-83j)
| (0.0070186100094700966004 - 1.6165746911147420205e-433j)  +/-  (3.36e-27, 9.26e-83j)
| (0.050998059262376176196 - 2.863646463909284521e-431j)  +/-  (6.82e-28, 1.88e-83j)
| (0.058684093478535547145 + 2.5787232742081460228e-431j)  +/-  (1.26e-28, 3.47e-84j)
| (0.096540088514727800567 - 1.1604760682247809273e-431j)  +/-  (4.55e-31, 1.25e-86j)
| (0.058684093478535547145 - 2.846739425860943138e-432j)  +/-  (3.19e-29, 8.8e-85j)
| (0.050998059262376176196 + 2.2119071891535501349e-432j)  +/-  (5.44e-29, 1.5e-84j)
| (0.091173878695763884713 + 1.5206203948202130547e-431j)  +/-  (1.18e-31, 3.25e-87j)
| (0.065822222776361846838 - 2.3433025480481281247e-431j)  +/-  (7.52e-31, 2.07e-86j)
| (0.087652093004403811143 - 1.6564913580151794215e-431j)  +/-  (7.04e-32, 1.94e-87j)
| (0.083311924226946755222 - 5.8343046026650921962e-432j)  +/-  (4.93e-32, 1.36e-87j)
| (0.072345794108848506225 - 4.2539665824969435641e-432j)  +/-  (2.02e-31, 5.57e-87j)
| (0.096540088514727800567 + 1.0526873280502328197e-431j)  +/-  (3.49e-33, 9.62e-89j)
| (0.083311924226946755222 + 1.8031544033442304407e-431j)  +/-  (4.03e-33, 1.11e-88j)
| (0.078193895787070306472 - 1.9634334571039920049e-431j)  +/-  (3.01e-33, 8.31e-89j)
| (0.095638720079274859419 - 9.4993831639182179109e-432j)  +/-  (3.27e-34, 9e-90j)
| (0.078193895787070306472 + 5.023085003139038896e-432j)  +/-  (1.49e-33, 4.12e-89j)
| (0.091173878695763884713 - 7.5815768355519546562e-432j)  +/-  (1.92e-34, 5.32e-90j)
| (0.095638720079274859419 + 1.2738458849384240013e-431j)  +/-  (4.16e-35, 1.16e-90j)
| (0.072345794108848506225 + 2.1414295989379294884e-431j)  +/-  (3.76e-35, 1.04e-90j)
| (0.093844399080804565639 - 1.3935486305074034116e-431j)  +/-  (2.64e-35, 7.35e-91j)
| (0.093844399080804565639 + 8.5184750081986276004e-432j)  +/-  (2.37e-35, 6.38e-91j)
