sample choice: beta = (0.0 + 1.66868908364j)  q = (0.441241234179 + 0.764252235992j)  p = (0.218033510768 - 0.377645118403j)  |sigma| = 13.049907
sample quadratics (coefficients of 1, t, t^2):
    ['(0.577350886398461 + 0.131776572253818j)', '(-0.219894127599728 + 0.963419121564238j)', '(0.577350886398461 + 0.131776572253818j)']
    ['(0.789563895812351 + 0.119007608988082j)', '(0.217094030766978 - 0.272227304125117j)', '(0.257436316582106 + 0.655937037099916j)']
    ['(0.590542632976838 - 0.0442550523312081j)', '(-0.890333146097668 - 0.428761845443692j)', '(-0.333597316053055 - 0.489297396010088j)']
    ['(0.789563895812351 - 0.119007608988082j)', '(0.217094030766978 + 0.272227304125117j)', '(0.257436316582106 - 0.655937037099916j)']
    ['(0.551262075061564 - 0.216354421306508j)', '(0.616129654003562 - 0.772602148978311j)', '(-0.088262612458265 + 0.585584171799492j)']
    ['(0.719407678725338 + 0.346448478649364j)', '(-0.313709963732196 - 0.151074756200456j)', '(-0.634864664077083 - 0.305734708597291j)']
choices of roots tested: 48
min |sigma| over choices: 1.714623261
max over choices of max_n |[t^n](sum G_i^7) - [t^n] t| = 5.3573e-109
PASS
