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We describe a numerical implementation of self-consistent mean field theory for block copolymers that requires no assumption of the mesophase symmetry. The method is amenable to massively parallel screening of self-assembly in complex block copolymer systems, characterized by high-dimensional parameter spaces. We illustrate the method by screening for novel mesophases in linear ABCA tetrablock copolymers; several previously unreported mesophases have been identified. Extension to multicomponentdoi:10.1103/physrevlett.83.4317 fatcat:ztjt2352wrbflktrxljjxkrdda