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The locally corrected Nystrom method can be used to discretize the electric field integral equation (EFIE) for scattering from conducting surfaces. Previous implementations of this technique have employed polynomial-complete representations of the surface current density. Results suggest, however, that polynomial-complete expansions yield inaccurate cross-polarization surface currents. Mixed-order expansions that provide a self-consistent representation of the equivalent charge density appear to alleviate the difficulty.