Summary: A code, SPECTOR, has been developed to determine the complete spectrum (both stable and unstable modes) for a resistive plasma in toroidal geometry described by the linearized, compressible, magnetohydrodynamic, single fluid equations. The structure of the code is explained, and comparisons with other codes are presented which test its validity. Some applications to both cylindrical and tokamak-like plasmas are presented to illustrate the scope of the code particularly for the stable part of the spectrum. A study is made of the effect of resistivity on a typical toroidal Alfvén eigenmode.