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This paper presents a formula for the multiplier ideals of a monomial space curve. The formula is obtained from a careful choice of log resolution. We construct a toric blowup of affine space in such a way that a log resolution of the monomial curve may be constructed from this toric variety in a well controlled manner. The construction exploits a theorem of González Pérez and Teissier (2002) .doi:10.1090/s2330-1511-2014-00001-8 fatcat:7mbcqvvkzbd7faionc5z5zjp5i