Starting with polynomial:
P : t^12 - 66*t^10 + 1485*t^8 - 13860*t^6 + 51975*t^4 - 62370*t^2 + 10395
Extension levels are: 12
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Ending with final polynomial:
P : t^12 - 66*t^10 + 1485*t^8 - 13860*t^6 + 51975*t^4 - 62370*t^2 + 10395
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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:   12 out of 12
Indefinite weights: 0 out of 12
Negative weights:   0 out of 12
Extension rule has valid weights: 1
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The nodes are:
| (2.2594644510007991239 + 1.4246760768554619758e-192j)  +/-  (1.4e-61, 1.4e-61j)
| (-5.5009017044677476008 - 4.1805445652168331904e-199j)  +/-  (2.2e-61, 2.2e-61j)
| (4.271825847932281723 - 1.1462274193762202666e-204j)  +/-  (4.32e-61, 4.32e-61j)
| (5.5009017044677476008 - 9.2826736635505850758e-214j)  +/-  (1.62e-61, 1.62e-61j)
| (-3.2237098287700974717 - 2.7195332998683354714e-217j)  +/-  (4e-61, 4e-61j)
| (3.2237098287700974717 + 8.104840814674900387e-224j)  +/-  (3.24e-61, 3.24e-61j)
| (-2.2594644510007991239 + 2.9548898803502240994e-226j)  +/-  (1.33e-61, 1.33e-61j)
| (-1.3403751971516167215 + 5.2765890720539716061e-228j)  +/-  (2.2e-62, 2.2e-62j)
| (0.4444030019441389453 + 6.5957363400674645076e-229j)  +/-  (3.28e-63, 3.28e-63j)
| (-4.271825847932281723 - 1.710930141924238535e-232j)  +/-  (4.02e-61, 4.02e-61j)
| (1.3403751971516167215 - 3.749242034739077387e-241j)  +/-  (2.56e-62, 2.56e-62j)
| (-0.4444030019441389453 - 4.4694447931517093027e-249j)  +/-  (3.28e-63, 3.28e-63j)
-------------------------------------------------
The weights are:
| (0.029116687912364151216 - 4.6863381260072971236e-194j)  +/-  (6.48e-21, 1.38e-51j)
| (1.4999271676371678258e-07 - 1.2132212160390975497e-197j)  +/-  (1.01e-25, 2.15e-56j)
| (4.8371849225906277786e-05 + 8.4018995499042285016e-196j)  +/-  (2.12e-24, 4.51e-55j)
| (1.4999271676371678258e-07 - 2.9045883020833197261e-197j)  +/-  (9.66e-26, 2.05e-56j)
| (0.0022033806875331988662 - 2.0811330082511107869e-195j)  +/-  (1.33e-24, 2.83e-55j)
| (0.0022033806875331988662 - 1.1834347591983837068e-194j)  +/-  (8.65e-24, 1.85e-54j)
| (0.029116687912364151216 + 9.1795754357083733419e-195j)  +/-  (6.34e-24, 1.36e-54j)
| (0.146967048045329988 - 2.5888920825182302513e-194j)  +/-  (3.16e-23, 6.85e-54j)
| (0.32166436151282999193 - 7.596215169276488168e-194j)  +/-  (4.15e-23, 8.37e-54j)
| (4.8371849225906277786e-05 + 2.5887164102995393046e-196j)  +/-  (1e-25, 2.11e-56j)
| (0.146967048045329988 + 1.0140034082511197504e-193j)  +/-  (1.22e-23, 2.77e-54j)
| (0.32166436151282999193 + 5.099213461659560229e-194j)  +/-  (1.8e-23, 3.23e-54j)
