  Starting from a multipole expansion of intra- molecular Coulomb interactions,
we present configuration interaction calculations of the molecular energy terms
of the hole configurations hu^m, m=2-5, of C60^{m+} cations, of the electron
configurations t1u^n, n=2-4, of the C60^{n-} anions, and of the exciton
configurations (hu^+ t1u^-), (hu^+ t1g^-) of the neutral C60 molecule. The
ground state of C60^{2-} is either 3 T1g or 1Ag, depending on the energy
separation between t1g and t1u levels. There are three close (~0.03 eV) low
lying triplets 3T1g, 3Gg, 3T2g for C60^{2+}, and three quartets 4T1u, 4Gu, 4T2u
for C60^{3+}, which can be subjected to the Jahn-Teller effect. The number of
low lying nearly degenerate states in largest for m=3 holes. We have calculated
the magnetic moments of the hole and electron configurations and found that
they are independent of molecular orientation in respect to an external
magnetic field. The coupling of spin and orbital momenta differs from the
atomic case. We analyze the electronic dipolar transitions t1u^2 -> t1u t1g and
t1u^3 -> t1u^2 t1g for C60^{2-} and C60^{3-}. Three optical absorption lines
(3T1g -> 3Hu, 3T1u, 3Au) are found for the ground level of C60^{2-} and only
one line (4Au -> 4T1g) for the ground state of C60^{3-}. We compare our results
with the experimental data for C60^{n-} in solutions and with earlier
theoretical studies.
