Starting with polynomial:
P : t^21 - 210*t^19 + 17955*t^17 - 813960*t^15 + 21366450*t^13 - 333316620*t^11 + 3055402350*t^9 - 15713497800*t^7 + 41247931725*t^5 - 45831035250*t^3 + 13749310575*t
Extension levels are: 21
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Ending with final polynomial:
P : t^21 - 210*t^19 + 17955*t^17 - 813960*t^15 + 21366450*t^13 - 333316620*t^11 + 3055402350*t^9 - 15713497800*t^7 + 41247931725*t^5 - 45831035250*t^3 + 13749310575*t
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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:
| (7.849382895113821993 - 1.4112283860720260906e-347j)  +/-  (1.77e-123, 1.77e-123j)
| (-2.0491024682571626618 - 2.8831535401105874363e-354j)  +/-  (1.25e-124, 1.25e-124j)
| (-5.8293820073044713717 - 5.5712422367483463497e-355j)  +/-  (1.21e-122, 1.21e-122j)
| (-7.849382895113821993 - 5.9842682544065152801e-358j)  +/-  (2.22e-123, 2.22e-123j)
| (4.21434398168842135 + 1.0448696137527770763e-364j)  +/-  (9.07e-123, 9.07e-123j)
| (2.7505929810523730936 + 1.7156145587837163865e-381j)  +/-  (9.76e-124, 9.76e-124j)
| (6.7514447187174607668 + 4.2668341947666017717e-400j)  +/-  (8.22e-123, 8.22e-123j)
| (-2.7505929810523730936 - 1.1599678255516571212e-404j)  +/-  (7.97e-124, 7.97e-124j)
| (-1.3597658232112302657 - 3.3454420396304995441e-408j)  +/-  (2.03e-125, 2.03e-125j)
| (-4.21434398168842135 + 8.2400696224235235096e-406j)  +/-  (8.03e-123, 8.03e-123j)
| (2.0491024682571626618 + 5.3273742947345371359e-409j)  +/-  (1.68e-124, 1.68e-124j)
| (-4.9949639447820251929 + 5.0665937348524269265e-409j)  +/-  (1.15e-122, 1.15e-122j)
| (-6.7514447187174607668 - 6.9738621871790917989e-418j)  +/-  (8.22e-123, 8.22e-123j)
| (5.8293820073044713717 + 1.7734457745169486558e-426j)  +/-  (1.21e-122, 1.21e-122j)
| (-3.4698466904753762952 - 1.0457608340493706691e-436j)  +/-  (3.49e-123, 3.49e-123j)
| (1.3597658232112302657 + 1.7378407145567142227e-438j)  +/-  (2.06e-125, 2.06e-125j)
| (3.4698466904753762952 - 6.2964888347312743328e-439j)  +/-  (3.27e-123, 3.27e-123j)
| (4.9949639447820251929 + 1.8184562428692978656e-454j)  +/-  (1.22e-122, 1.22e-122j)
| (-0.67804569244064402621 - 1.1573177586158923445e-466j)  +/-  (1.71e-126, 1.71e-126j)
| (-6.9834729707933332923e-467 + 3.6005441379161095162e-466j)  +/-  (7.7e-465, 7.7e-465j)
| (0.67804569244064402621 + 3.0218852586081633439e-467j)  +/-  (1.71e-126, 1.71e-126j)
-------------------------------------------------
The weights are:
| (2.0989912195656767434e-14 + 1.1703298569638742023e-360j)  +/-  (1.11e-48, 1.67e-110j)
| (0.033952729786542835053 - 1.3835121882392849037e-355j)  +/-  (1.46e-37, 2.2e-99j)
| (1.4506612844930866107e-08 + 1.0528039193670355567e-360j)  +/-  (1.35e-46, 2.03e-108j)
| (2.0989912195656767434e-14 + 5.6038213348999728825e-363j)  +/-  (3.07e-49, 4.62e-111j)
| (4.2192347425516757386e-05 + 4.2044128361732766634e-357j)  +/-  (4.52e-45, 6.8e-107j)
| (0.0064396970514087768692 + 4.1060325455267248075e-356j)  +/-  (2.42e-42, 3.64e-104j)
| (4.9753686041217240051e-11 - 1.3560984982461297974e-359j)  +/-  (1.84e-48, 2.77e-110j)
| (0.0064396970514087768692 - 4.5296942689573065143e-356j)  +/-  (9.31e-43, 1.4e-104j)
| (0.10839228562641944345 + 3.2681981092020047921e-355j)  +/-  (1.55e-39, 2.34e-101j)
| (4.2192347425516757386e-05 - 4.9312819437519044706e-358j)  +/-  (7.92e-46, 1.19e-107j)
| (0.033952729786542835053 - 8.8836493085770794358e-356j)  +/-  (3.46e-43, 5.2e-105j)
| (1.2253548361482535298e-06 + 2.351172815468150817e-359j)  +/-  (5.67e-47, 8.53e-109j)
| (4.9753686041217240051e-11 - 1.9134281450230700151e-361j)  +/-  (2.34e-49, 3.51e-111j)
| (1.4506612844930866107e-08 + 1.3002950035020675255e-358j)  +/-  (1.46e-49, 2.2e-111j)
| (0.00070804779548153646931 + 5.1443296459802441106e-357j)  +/-  (6.5e-46, 9.77e-108j)
| (0.10839228562641944345 + 1.5503081978633923322e-355j)  +/-  (4.77e-45, 7.16e-107j)
| (0.00070804779548153646931 - 1.4983631145022126413e-356j)  +/-  (2.89e-47, 4.35e-109j)
| (1.2253548361482535298e-06 - 8.7637421843122299952e-358j)  +/-  (8.52e-49, 1.28e-110j)
| (0.2153337156950596866 - 2.910609640914945249e-355j)  +/-  (4.37e-45, 6.67e-107j)
| (0.27026018357287707133 + 2.7018850180013660861e-355j)  +/-  (2.63e-45, 4.11e-107j)
| (0.2153337156950596866 - 2.2269146583380726572e-355j)  +/-  (1.28e-45, 1.8e-107j)
