Conspiracy Relations in Vector-Meson Production

We list the conspiracy relations for reactions of type $\Pi +N\to V+N$ and $\Pi +N\to V+\Delta$, emphasizing that there are relations connecting states with opposite parity at $t=0\mathrm{}$ even when all four masses are unequal. We show in detail that if the relations are satisfied by vanishing of the couplings of individual trajectories at $t=0\mathrm{}$, all helicity-flip amplitudes are suppressed at forward angles; whereas if the relations are satisfied by conspiracy among various trajectories, the flip-flip amplitudes which conserve angular momentum in forward scattering can contribute with full strength.