  Neutron-scattering experiments have been performed on lightly-doped
La(2-x)Sr(x)CuO4 single crystals in both the insulating (x=0.03,0.04,0.05) and
superconducting (x=0.06) regions. Elastic magnetic peaks are observed at low
temperatures in all samples with the maximum peak linewidth occuring at the
critical concentration x_c=0.05. New incommensurate peaks are observed only at
x=0.05, the positions of which are rotated by 45 degrees in reciprocal space
about (pi,pi) from those observed for x>=0.06 in the superconducting phase.
