## Abstract

We study the possible weights of an irreducible 2-dimensional modular mod *p* representation of Gal(/*F*), where *F* is a totally real field which is totally ramified at *p*, and the representation is tamely ramified at the prime above *p*. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.

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