[en] Powerful results are tabulated which can be used at modern colliders to make fundamental symmetry tests by analysis of sequential decays of X → V₁V₂. By generalization of the phi phi parity test which has recently been used to determine the parity of the eta/sub c/, the P ( or CP) quantum number can always be determined for X of any spin J which decays P (or respectively CP) invariantly into VV or V anti V where each vector meson decays into two spin-0 bosons, or is ω. P can also always be determined from a mode like K*⁺ anti K*⁰. A neutral spin-0 technipion and an elementary Higgs particle, for instance, can be distinguished by such CP invariant decay modes and by phi rho⁰, phi J, J UPSILON, or if sufficiently massive by phi Z⁰ or JZ⁰ where J/psi and Z⁰ go into a lepton-antilepton pair. Generalization to the gZ⁰ and gg decay channels, g = gluon jet, which would be relevant to new resonance physics, for example, at the CERN collider is discussed. There are also very simple tests for possible violations of P, of the combination of C plus isospin, of both P and CP, and of both C and CP. 9 references