A total of 6071 transition wavenumbers of the nu2, nu3, nu5, and nu6 fundamental bands of H313CF and 1689 frequencies of the rotational transitions in the v2 = 1, v3 = 1, v5 = 1, and v6 = 1 vibrational states have been fitted simultaneously by taking into account various Coriolis interactions, l-type interactions, and alpha-resonance terms between and within the vibrational states. The standard deviation of the fit using 75 parameters was final sigma = 7.63 x 10(-5) cm-1 for the infrared data and 0.150 MHz for the rotational data. The possibility of obtaining a quantitative fit of the very precise data of high-resolution Fourier transform and submillimeter-wave spectroscopy for a semirigid symmetric top molecule is discussed. Copyright 1998 Academic Press.