Starting with polynomial:
P : 5014575/2048*t^14 - 16900975/2048*t^12 + 22309287/2048*t^10 - 14549535/2048*t^8 + 4849845/2048*t^6 - 765765/2048*t^4 + 45045/2048*t^2 - 429/2048
Extension levels are: 14
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Ending with final polynomial:
P : 5014575/2048*t^14 - 16900975/2048*t^12 + 22309287/2048*t^10 - 14549535/2048*t^8 + 4849845/2048*t^6 - 765765/2048*t^4 + 45045/2048*t^2 - 429/2048
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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
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The nodes are:
| (0.98628380869681233884 + 1.2706306953299237036e-167j)  +/-  (2.86e-60, 2.86e-60j)
| (-0.92843488366357351734 - 5.2011398208153035279e-170j)  +/-  (4.38e-60, 4.38e-60j)
| (-0.98628380869681233884 - 7.5249747787837556576e-179j)  +/-  (2.46e-60, 2.46e-60j)
| (0.10805494870734366207 - 9.6509749255538002646e-189j)  +/-  (9.36e-64, 9.36e-64j)
| (0.82720131506976499319 + 5.4795233725210075994e-194j)  +/-  (2.74e-60, 2.74e-60j)
| (0.68729290481168547015 + 2.2397551785179618562e-192j)  +/-  (6.53e-61, 6.53e-61j)
| (-0.10805494870734366207 + 2.7826749762224545924e-198j)  +/-  (9.36e-64, 9.36e-64j)
| (-0.82720131506976499319 - 1.8116373543114938753e-201j)  +/-  (2.64e-60, 2.64e-60j)
| (-0.31911236892788976044 + 6.8135121736018528075e-208j)  +/-  (1.14e-62, 1.14e-62j)
| (0.31911236892788976044 + 6.8894843596664498609e-215j)  +/-  (1.14e-62, 1.14e-62j)
| (0.92843488366357351734 - 6.0827370636856105731e-220j)  +/-  (5.09e-60, 5.09e-60j)
| (0.51524863635815409197 + 1.0790624652350371934e-225j)  +/-  (1.25e-61, 1.25e-61j)
| (-0.51524863635815409197 + 4.326803039084256717e-226j)  +/-  (1.69e-61, 1.69e-61j)
| (-0.68729290481168547015 + 9.5225943409724018829e-228j)  +/-  (8.4e-61, 8.4e-61j)
-------------------------------------------------
The weights are:
| (0.035119460331751863032 - 1.6155167257341351465e-167j)  +/-  (3.17e-17, 1.26e-46j)
| (0.080158087159760209806 - 8.205079630328086819e-169j)  +/-  (1.38e-17, 5.48e-47j)
| (0.035119460331751863032 + 2.050271486427344499e-169j)  +/-  (1.07e-17, 4.26e-47j)
| (0.2152638534631577902 - 7.5943971792366218633e-168j)  +/-  (4.06e-18, 1.62e-47j)
| (0.12151857068790318469 - 1.776749932649755599e-167j)  +/-  (1.09e-18, 4.35e-48j)
| (0.15720316715819353457 + 1.3903155561992842521e-167j)  +/-  (1.05e-18, 4.19e-48j)
| (0.2152638534631577902 + 6.1027866752127890715e-168j)  +/-  (6.37e-19, 2.53e-48j)
| (0.12151857068790318469 + 1.6349092983315159628e-168j)  +/-  (9.77e-20, 3.89e-49j)
| (0.20519846372129560397 - 4.7723046736436881497e-168j)  +/-  (1.42e-19, 5.65e-49j)
| (0.20519846372129560397 + 9.2965488354498100161e-168j)  +/-  (1.04e-19, 4.15e-49j)
| (0.080158087159760209806 + 2.6231587554663195195e-167j)  +/-  (2.09e-20, 8.33e-50j)
| (0.18553839747793781374 - 1.1316445619543188979e-167j)  +/-  (4.84e-20, 1.93e-49j)
| (0.18553839747793781374 + 3.5822381512341768852e-168j)  +/-  (4.75e-21, 1.94e-50j)
| (0.15720316715819353457 - 2.5299312062318489736e-168j)  +/-  (3.81e-21, 1.47e-50j)
