Starting with polynomial:
P : 4418157975/65536*t^19 - 20419054425/65536*t^17 + 9917826435/16384*t^15 - 10518906825/16384*t^13 + 13233463425/32768*t^11 - 5019589575/32768*t^9 + 557732175/16384*t^7 - 66927861/16384*t^5 + 14549535/65536*t^3 - 230945/65536*t
Extension levels are: 19
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Ending with final polynomial:
P : 4418157975/65536*t^19 - 20419054425/65536*t^17 + 9917826435/16384*t^15 - 10518906825/16384*t^13 + 13233463425/32768*t^11 - 5019589575/32768*t^9 + 557732175/16384*t^7 - 66927861/16384*t^5 + 14549535/65536*t^3 - 230945/65536*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: 1
  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
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The nodes are:
| (0.99240684384358440319 - 5.7704408761426292721e-418j)  +/-  (2.11e-122, 2.11e-122j)
| (-0.16035864564022537587 + 5.2542302877713271556e-428j)  +/-  (5.04e-127, 5.04e-127j)
| (-0.90315590361481790164 - 2.641125957909556087e-421j)  +/-  (3.53e-122, 3.53e-122j)
| (2.8478534028683949262e-426 + 4.4726593250419856018e-427j)  +/-  (5.48e-425, 5.48e-425j)
| (0.90315590361481790164 - 8.8170768385557605129e-421j)  +/-  (3.63e-122, 3.63e-122j)
| (0.96020815213483003085 + 5.0097453313637228328e-426j)  +/-  (5.28e-122, 5.28e-122j)
| (-0.96020815213483003085 - 2.0934034910959511742e-428j)  +/-  (5.56e-122, 5.56e-122j)
| (-0.82271465653714282498 + 6.9190419690036043245e-429j)  +/-  (1.74e-122, 1.74e-122j)
| (-0.99240684384358440319 - 8.2694461331684434049e-431j)  +/-  (2.04e-122, 2.04e-122j)
| (0.31656409996362983199 - 1.9102893594585835823e-431j)  +/-  (1.2e-125, 1.2e-125j)
| (0.82271465653714282498 - 3.2708113522745021003e-440j)  +/-  (1.66e-122, 1.66e-122j)
| (0.46457074137596094572 - 1.4314469907983583007e-452j)  +/-  (1.05e-124, 1.05e-124j)
| (-0.46457074137596094572 + 7.5279867445144552733e-458j)  +/-  (9.38e-125, 9.38e-125j)
| (-0.60054530466168102347 - 6.8641257105139765514e-460j)  +/-  (1.06e-123, 1.06e-123j)
| (-0.31656409996362983199 + 9.7490265650499398182e-468j)  +/-  (9.17e-126, 9.17e-126j)
| (0.72096617733522937862 + 2.3199720274569686455e-479j)  +/-  (4.97e-123, 4.97e-123j)
| (0.60054530466168102347 + 1.0827921682199005447e-487j)  +/-  (8.88e-124, 8.88e-124j)
| (0.16035864564022537587 - 2.9545720888058131325e-490j)  +/-  (4.26e-127, 4.26e-127j)
| (-0.72096617733522937862 - 5.8173077967621207358e-487j)  +/-  (5.08e-123, 5.08e-123j)
-------------------------------------------------
The weights are:
| (0.019461788229726477036 + 7.3657860499005997096e-418j)  +/-  (1.74e-45, 3.4e-105j)
| (0.15896884339395434765 + 2.2355268285231839277e-418j)  +/-  (7.9e-46, 1.54e-105j)
| (0.069044542737641226581 + 3.8893716817368263453e-419j)  +/-  (1.68e-46, 3.27e-106j)
| (0.16105444984878369598 - 2.6483314299397952193e-418j)  +/-  (3.69e-46, 7.19e-106j)
| (0.069044542737641226581 + 8.2751736690305818555e-418j)  +/-  (1.54e-46, 3e-106j)
| (0.044814226765699600333 - 1.2011965216405234137e-417j)  +/-  (1.39e-46, 2.7e-106j)
| (0.044814226765699600333 - 2.0001722035909095871e-419j)  +/-  (5.44e-47, 1.06e-106j)
| (0.091490021622449999464 - 6.1706154700219415722e-419j)  +/-  (2.94e-47, 5.73e-107j)
| (0.019461788229726477036 + 5.6940813751482335121e-420j)  +/-  (1.95e-47, 3.8e-107j)
| (0.15276604206585966678 - 3.5932782536906179128e-418j)  +/-  (6.9e-48, 1.35e-107j)
| (0.091490021622449999464 - 6.6430144007704726928e-418j)  +/-  (6.48e-48, 1.27e-107j)
| (0.14260670217360661178 + 4.1501776917363223734e-418j)  +/-  (3.97e-48, 7.74e-108j)
| (0.14260670217360661178 + 1.5022722342379389924e-418j)  +/-  (7.16e-49, 1.4e-108j)
| (0.12875396253933622768 - 1.1783116490092976633e-418j)  +/-  (4.14e-49, 8.08e-109j)
| (0.15276604206585966678 - 1.854378607675095153e-418j)  +/-  (6.51e-49, 1.27e-108j)
| (0.11156664554733399472 + 5.587561867843077874e-418j)  +/-  (7.1e-50, 1.39e-109j)
| (0.12875396253933622768 - 4.7967948431535792809e-418j)  +/-  (6.44e-50, 1.26e-109j)
| (0.15896884339395434765 + 3.0979031181819121537e-418j)  +/-  (5.5e-50, 1.09e-109j)
| (0.11156664554733399472 + 8.8287372662659531891e-419j)  +/-  (3.18e-50, 5.83e-110j)
