  We constructed a Hall resistance formula for the fractional quantum Hall
effect by analyzing the experimental data reported in [J. P. Eisenstein and H.
L. Stormer, {Science} {\bf 248}, 1510 (1990)]. The formula is given as a
function of magnetic induction, chemical potential and temperature. The Hall
resistance function contains a single-electron energy spectrum, which has
phenomenological perturbation terms with three tunable parameters. The formula
yields 12 plateaus that are consistent with the experiment. The perturbations
can be interpreted as precession or nutation of a Landau orbital in the
three-dimensional space.
