Positive stationary states: 3; flagship theorem scope: True. z=0.9957940123; numerical sink=True; core activity signature=[False, True]. z=2.0248399792; numerical sink=False; core activity signature=[False, True]. z=2.9763672438; numerical sink=True; core activity signature=[False, True]. Trajectory 0: low_z_sink; first sampled test=(np.float64(0.0), 'low_z_sink'). Trajectory 1: high_z_sink; first sampled test=(np.float64(0.0), 'high_z_sink'). Fixed local fold: exact rational contraction and cubic Hurwitz checks pass. Trajectory verdicts use floating point; they are not validated basin certificates.