Some equilibrium configurations of the cholesteric unwinding transitio
n problem are numerically computed using the Landau-de Gennes expressi
on of the liquid crystal free energy density. The classical TIC and mo
dulated TIC configurations are numerically obtained and the cholesteri
c finger structure is found to be in good agreement with the previous
theoretical guesses. Moreover, we report the existence of new solution
s, specifically associated with the local n --> n symmetry, and which
seem to be experimentally observed.