  We present small angle neutron scattering studies of the vortex lattice (VL)
in CeCoIn5 with magnetic fields applied parallel (H) to the antinodal [100] and
nodal [110] directions. For H || [100], a single VL orientation is observed,
while a 90 degree reorientation transition is found for H || [110]. For both
field orientations and VL configurations we find a distorted hexagonal VL with
an anisotropy, Gamma = 2.0 +/- 0.05. The VL form factor shows strong Pauli
paramagnetic effects similar to what have previously been reported for H ||
[001]. At high fields, above which the upper critical field (Hc2) becomes a
first-order transition, an increased disordering of the VL is observed.
