Starting with polynomial:
P : 524288*t^19 - 44826624*t^17 + 1524105216*t^15 - 26671841280*t^13 + 260050452480*t^11 - 1430277488640*t^9 + 4290832465920*t^7 - 6436248698880*t^5 + 4022655436800*t^3 - 670442572800*t
Extension levels are: 19
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Ending with final polynomial:
P : 524288*t^19 - 44826624*t^17 + 1524105216*t^15 - 26671841280*t^13 + 260050452480*t^11 - 1430277488640*t^9 + 4290832465920*t^7 - 6436248698880*t^5 + 4022655436800*t^3 - 670442572800*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: 1
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   19 out of 19
Indefinite weights: 0 out of 19
Negative weights:   0 out of 19
Extension rule has valid weights: 1
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The nodes are:
| (2.5911337897945425649 + 9.4151234130473426162e-223j)  +/-  (9.26e-60, 9.26e-60j)
| (-5.2202716905374821646 - 3.0608338953125577481e-228j)  +/-  (2.54e-60, 2.54e-60j)
| (5.2202716905374821646 - 1.1819507992210739621e-229j)  +/-  (2.78e-60, 2.78e-60j)
| (-3.1578488183476022818 + 1.8568624187354235865e-231j)  +/-  (1.45e-59, 1.45e-59j)
| (-4.4285328066037794372 - 4.745280670655999642e-236j)  +/-  (1.18e-59, 1.18e-59j)
| (3.7621873519640200975 - 3.1373657346696599575e-238j)  +/-  (2.18e-59, 2.18e-59j)
| (4.4285328066037794372 - 2.2654721767527384114e-244j)  +/-  (1.34e-59, 1.34e-59j)
| (-3.7621873519640200975 - 4.818620167616686592e-249j)  +/-  (1.85e-59, 1.85e-59j)
| (-2.5911337897945425649 + 5.2812775387827815003e-249j)  +/-  (9.7e-60, 9.7e-60j)
| (-3.037320447622693965e-257 - 6.2437422477896920909e-257j)  +/-  (1.32e-255, 1.32e-255j)
| (1.0103683871343113514 + 2.2259930122142302191e-249j)  +/-  (9.32e-62, 9.32e-62j)
| (0.50352016342388820937 + 1.8754536714427491123e-251j)  +/-  (1.11e-62, 1.11e-62j)
| (-1.5241706193935330318 - 1.3312311151477259154e-250j)  +/-  (7.28e-61, 7.28e-61j)
| (-1.0103683871343113514 - 3.9063995018269334238e-250j)  +/-  (7.51e-62, 7.51e-62j)
| (3.1578488183476022818 + 1.1749751350746485784e-248j)  +/-  (1.45e-59, 1.45e-59j)
| (1.5241706193935330318 - 9.3772683572137455616e-254j)  +/-  (6.78e-61, 6.78e-61j)
| (2.0492317098506193758 - 2.1411873415086784077e-254j)  +/-  (3.34e-60, 3.34e-60j)
| (-2.0492317098506193758 - 5.2193782852616957322e-258j)  +/-  (2.87e-60, 2.87e-60j)
| (-0.50352016342388820937 + 1.1280198396885674188e-259j)  +/-  (1.63e-62, 1.63e-62j)
-------------------------------------------------
The weights are:
| (0.00037850210941426846163 - 9.2338785706713453149e-226j)  +/-  (4.69e-17, 8.62e-47j)
| (7.4828300540571676803e-13 - 2.0284482385756366984e-231j)  +/-  (6.49e-23, 1.19e-52j)
| (7.4828300540571676803e-13 + 6.0267023696515030579e-231j)  +/-  (3.35e-23, 6.15e-53j)
| (1.5351145954666699543e-05 + 1.2483592342056393081e-227j)  +/-  (7.93e-20, 1.46e-49j)
| (1.2203708484474726311e-09 + 9.1156910107462478007e-230j)  +/-  (6.31e-22, 1.16e-51j)
| (2.5322200320928847474e-07 + 7.8710764340589670782e-228j)  +/-  (1.6e-21, 2.93e-51j)
| (1.2203708484474726311e-09 - 3.4825920313113219297e-229j)  +/-  (1.55e-22, 2.85e-52j)
| (2.5322200320928847474e-07 - 1.450808460422802462e-228j)  +/-  (1.4e-21, 2.58e-51j)
| (0.00037850210941426846163 - 6.8766115053864801438e-227j)  +/-  (2.86e-20, 5.25e-50j)
| (0.2837731927515209249 + 3.7657892801747214496e-225j)  +/-  (2.57e-17, 4.67e-47j)
| (0.10360365727614420088 + 3.7297548758801276231e-225j)  +/-  (8.81e-18, 1.6e-47j)
| (0.22094171219914356755 - 4.1242872351499163074e-225j)  +/-  (1.56e-17, 2.83e-47j)
| (0.028666691030118453679 - 7.5361058013912639225e-226j)  +/-  (3.11e-19, 5.66e-49j)
| (0.10360365727614420088 + 1.6370578669947217016e-225j)  +/-  (7.71e-19, 1.38e-48j)
| (1.5351145954666699543e-05 - 1.2663852394310816803e-226j)  +/-  (1.88e-21, 3.4e-51j)
| (0.028666691030118453679 - 2.9066954005983425919e-225j)  +/-  (7.33e-20, 1.32e-49j)
| (0.0045072354203420395387 + 2.2693133737898255019e-225j)  +/-  (2.17e-20, 3.94e-50j)
| (0.0045072354203420395387 + 2.650105125625519363e-226j)  +/-  (8.9e-21, 1.79e-50j)
| (0.22094171219914356755 - 2.7821909537272553838e-225j)  +/-  (1.76e-19, 2.7e-49j)
