Starting with polynomial:
P : 26876802183334044115405/274877906944*t^40 - 66341473743672640538025/68719476736*t^38 + 605689039503920341535475/137438953472*t^36 - 847964655305488478149665/68719476736*t^34 + 6516550296251767619752905/274877906944*t^32 - 569050870940295200598141/17179869184*t^30 + 1195831540381779769372905/34359738368*t^28 - 481902262541911250344305/17179869184*t^26 + 2409511312709556251721525/137438953472*t^24 - 293220953398517427458175/34359738368*t^22 + 222078820442811559812585/68719476736*t^20 - 32507685580997069618175/34359738368*t^18 + 29085823940892114921525/137438953472*t^16 - 610192110648086327025/17179869184*t^14 + 149669762989153250025/34359738368*t^12 - 6456342717179159805/17179869184*t^10 + 5929294332103310025/274877906944*t^8 - 51946258228689825/68719476736*t^6 + 1923935489951475/137438953472*t^4 - 7064634602025/68719476736*t^2 + 34461632205/274877906944
Extension levels are: 40
-------------------------------------------------
Ending with final polynomial:
P : 26876802183334044115405/274877906944*t^40 - 66341473743672640538025/68719476736*t^38 + 605689039503920341535475/137438953472*t^36 - 847964655305488478149665/68719476736*t^34 + 6516550296251767619752905/274877906944*t^32 - 569050870940295200598141/17179869184*t^30 + 1195831540381779769372905/34359738368*t^28 - 481902262541911250344305/17179869184*t^26 + 2409511312709556251721525/137438953472*t^24 - 293220953398517427458175/34359738368*t^22 + 222078820442811559812585/68719476736*t^20 - 32507685580997069618175/34359738368*t^18 + 29085823940892114921525/137438953472*t^16 - 610192110648086327025/17179869184*t^14 + 149669762989153250025/34359738368*t^12 - 6456342717179159805/17179869184*t^10 + 5929294332103310025/274877906944*t^8 - 51946258228689825/68719476736*t^6 + 1923935489951475/137438953472*t^4 - 7064634602025/68719476736*t^2 + 34461632205/274877906944
-------------------------------------------------
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: 0
  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:
| (-0.48307580168617871291 + 3.9449011613913700596e-425j)  +/-  (2.32e-120, 2.32e-120j)
| (0.99072623869945700645 + 4.2183062363811934282e-417j)  +/-  (2.2e-114, 2.2e-114j)
| (-0.90209880696887429673 - 3.3652713723257820358e-430j)  +/-  (7.58e-115, 7.58e-115j)
| (0.97725994998377426266 - 4.95684913439562593e-427j)  +/-  (2.53e-114, 2.53e-114j)
| (0.93281280827867653336 + 3.8098693285221170288e-433j)  +/-  (1.64e-114, 1.64e-114j)
| (0.86595950321225950382 - 8.1171634754407285303e-439j)  +/-  (3.83e-115, 3.83e-115j)
| (-0.97725994998377426266 + 2.4466865152979243696e-439j)  +/-  (2.6e-114, 2.6e-114j)
| (-0.86595950321225950382 + 4.8235991982830214938e-442j)  +/-  (4.17e-115, 4.17e-115j)
| (-0.11608407067525520848 + 5.5205340284229404047e-454j)  +/-  (2.33e-126, 2.33e-126j)
| (0.99823770971055920035 - 1.4509895919425248968e-440j)  +/-  (7.54e-115, 7.54e-115j)
| (0.90209880696887429673 - 1.4875493907382704312e-447j)  +/-  (8.55e-115, 8.55e-115j)
| (-0.19269758070137109972 + 2.452144841344215835e-465j)  +/-  (4.26e-125, 4.26e-125j)
| (-0.99072623869945700645 + 1.4133043678414736533e-452j)  +/-  (2.23e-114, 2.23e-114j)
| (-0.8246122308333116632 + 7.0796077736749921139e-459j)  +/-  (1.28e-115, 1.28e-115j)
| (-0.34199409082575847301 + 3.0809172628324813014e-467j)  +/-  (1.46e-122, 1.46e-122j)
| (0.8246122308333116632 + 9.9661469162998287621e-459j)  +/-  (1.46e-115, 1.46e-115j)
| (0.9579168192137916558 - 5.4020377946668255578e-466j)  +/-  (2.09e-114, 2.09e-114j)
| (-0.9579168192137916558 + 6.0810031189890721776e-470j)  +/-  (2.2e-114, 2.2e-114j)
| (-0.77830565142651938769 + 7.8786812069962813746e-474j)  +/-  (3.7e-116, 3.7e-116j)
| (-0.93281280827867653336 - 4.0344542146491976707e-471j)  +/-  (2.06e-114, 2.06e-114j)
| (0.61255388966798023795 + 4.6673700766492388852e-478j)  +/-  (2.21e-118, 2.21e-118j)
| (0.77830565142651938769 - 2.89497583422775692e-476j)  +/-  (3.51e-116, 3.51e-116j)
| (-0.99823770971055920035 - 1.5654210364251665714e-476j)  +/-  (7.27e-115, 7.27e-115j)
| (-0.41377920437160500152 + 2.5201429545495911293e-486j)  +/-  (1.93e-121, 1.93e-121j)
| (-0.72731825518992710328 + 1.9730873670357777625e-479j)  +/-  (6.26e-117, 6.26e-117j)
| (0.11608407067525520848 - 5.4341656050890631139e-490j)  +/-  (2e-126, 2e-126j)
| (0.72731825518992710328 + 8.876362008172855761e-480j)  +/-  (7.26e-117, 7.26e-117j)
| (0.67195668461417954838 - 1.1209374641729482309e-482j)  +/-  (1.18e-117, 1.18e-117j)
| (0.34199409082575847301 + 3.9939672031268082006e-488j)  +/-  (1.48e-122, 1.48e-122j)
| (-0.61255388966798023795 + 4.3259880071984475035e-482j)  +/-  (1.88e-118, 1.88e-118j)
| (-0.038772417506050821933 + 3.3588824509975336238e-493j)  +/-  (1.77e-127, 1.77e-127j)
| (0.41377920437160500152 - 1.276367358849986676e-488j)  +/-  (2.45e-121, 2.45e-121j)
| (0.54946712509512820208 + 7.8216825030387814708e-486j)  +/-  (2.28e-119, 2.28e-119j)
| (0.038772417506050821933 - 2.7604413254383913055e-493j)  +/-  (1.77e-127, 1.77e-127j)
| (-0.67195668461417954838 + 8.2542428883592586953e-485j)  +/-  (1.32e-117, 1.32e-117j)
| (-0.54946712509512820208 + 2.6683330888909009685e-489j)  +/-  (2.39e-119, 2.39e-119j)
| (0.26815218500725368114 + 3.0212861355924588005e-494j)  +/-  (1.03e-123, 1.03e-123j)
| (0.48307580168617871291 + 2.6695796981310098094e-490j)  +/-  (2.68e-120, 2.68e-120j)
| (0.19269758070137109972 - 2.0875597534374041498e-495j)  +/-  (4.36e-125, 4.36e-125j)
| (-0.26815218500725368114 - 6.6354302479668247371e-494j)  +/-  (8.7e-124, 8.7e-124j)
-------------------------------------------------
The weights are:
| (0.067912045815233903826 + 4.9248488767860374894e-418j)  +/-  (8.29e-18, 6.59e-71j)
| (0.010498284531152813615 - 2.3765264665639091797e-417j)  +/-  (3.93e-18, 3.13e-71j)
| (0.033460195282547847393 + 1.3265628500074196011e-418j)  +/-  (4.29e-19, 3.41e-72j)
| (0.016421058381907888713 + 6.4186514261969604333e-417j)  +/-  (2.5e-18, 1.99e-71j)
| (0.027937006980023401098 + 3.3083567695779933265e-417j)  +/-  (7.23e-19, 5.75e-72j)
| (0.03878216797447201764 + 2.5110184211918510068e-417j)  +/-  (1.39e-19, 1.11e-72j)
| (0.016421058381907888713 - 4.3920741161705038097e-419j)  +/-  (7.83e-21, 6.23e-74j)
| (0.03878216797447201764 - 1.6873699106408800515e-418j)  +/-  (3.45e-20, 2.74e-73j)
| (0.077039818164247965588 - 7.9232236754438692217e-418j)  +/-  (9.18e-21, 7.3e-74j)
| (0.0045212770985331912585 - 1.6897848566970119993e-417j)  +/-  (2.95e-19, 2.35e-72j)
| (0.033460195282547847393 - 2.8331537771295670048e-417j)  +/-  (1.69e-19, 1.35e-72j)
| (0.076110361900626242372 + 7.2765989176634849938e-418j)  +/-  (6.33e-21, 5.04e-74j)
| (0.010498284531152813615 + 2.2349755535613398445e-419j)  +/-  (6.3e-22, 5.02e-75j)
| (0.043870908185673271992 + 2.0762477913719748747e-418j)  +/-  (2.05e-21, 1.63e-74j)
| (0.072886582395804059061 + 6.0553399866466262232e-418j)  +/-  (1.1e-21, 8.79e-75j)
| (0.043870908185673271992 - 2.268979366714125556e-417j)  +/-  (1.72e-21, 1.37e-74j)
| (0.022245849194166957262 - 4.1508868338024169489e-417j)  +/-  (3.86e-20, 3.07e-73j)
| (0.022245849194166957262 + 6.9888728329053740904e-419j)  +/-  (5.66e-22, 4.5e-75j)
| (0.048695807635072232061 - 2.4914614861452985627e-418j)  +/-  (8.37e-23, 6.66e-76j)
| (0.027937006980023401098 - 9.9607172947503990456e-419j)  +/-  (5.28e-22, 4.2e-75j)
| (0.061306242492928939167 - 1.646223881153763959e-417j)  +/-  (2.36e-25, 1.88e-78j)
| (0.048695807635072232061 + 2.0748812433118963392e-417j)  +/-  (8.54e-24, 6.79e-77j)
| (0.0045212770985331912585 - 6.3815987194592120461e-420j)  +/-  (3.41e-23, 2.71e-76j)
| (0.070611647391286779695 - 5.4789801915458181629e-418j)  +/-  (2.71e-24, 2.16e-77j)
| (0.053227846983936824355 + 2.9316545410975077706e-418j)  +/-  (7.73e-24, 6.15e-77j)
| (0.077039818164247965588 + 1.0026392412461119733e-417j)  +/-  (5.6e-27, 4.46e-80j)
| (0.053227846983936824355 - 1.9121337971811624969e-417j)  +/-  (1.48e-25, 1.18e-78j)
| (0.057439769099391551367 + 1.7712145171323904204e-417j)  +/-  (4.11e-26, 3.27e-79j)
| (0.072886582395804059061 - 1.2439763422992408243e-417j)  +/-  (1.19e-28, 9.5e-82j)
| (0.061306242492928939167 + 3.8830165228370706416e-418j)  +/-  (2.24e-27, 1.78e-80j)
| (0.077505947978424811264 + 8.5956475640702191829e-418j)  +/-  (5.33e-28, 4.24e-81j)
| (0.070611647391286779695 + 1.3337891498250053788e-417j)  +/-  (6.1e-29, 4.86e-82j)
| (0.064804013456601038075 + 1.5332933009182495144e-417j)  +/-  (1.72e-28, 1.37e-81j)
| (0.077505947978424811264 - 9.2958370493579213073e-418j)  +/-  (7.17e-29, 5.7e-82j)
| (0.057439769099391551367 - 3.3957721882899821274e-418j)  +/-  (1.19e-28, 9.47e-82j)
| (0.064804013456601038075 - 4.3928223543888638945e-418j)  +/-  (8.08e-29, 6.43e-82j)
| (0.0747231690579682642 + 1.1593242091971152433e-417j)  +/-  (2.57e-30, 2.04e-83j)
| (0.067912045815233903826 - 1.4297736755850762036e-417j)  +/-  (3.39e-30, 2.69e-83j)
| (0.076110361900626242372 - 1.0790715728171627421e-417j)  +/-  (2.07e-30, 1.65e-83j)
| (0.0747231690579682642 - 6.6543169915690636504e-418j)  +/-  (1.67e-30, 1.28e-83j)
