q = 0.17: S_2/S_3 = 0.98373, S_4/S_3 = 0.95840
sign +1: worst relative margin +0.00109 at a1 = 0.5738, a2 = 0.5738
    margin +0.00109  a1 = 0.5738  a2 = 0.5738
sign -1: worst relative margin +0.01433 at a1 = 0.1000, a2 = 0.0200
