  We present the full result for the down squark mass-squared matrix in the
complete theory of supersymmetry without R-parity where all kind of R-parity
violating terms are admitted without bias. An optimal parametrization, the
single-VEV parametrization, is used. The major result is a new contribution to
$LR$ squark mixing, involving both bilinear and trilinear R-parity violating
couplings. Among other things, the latter leads to neutron electric dipole
moment at one-loop level. Similiar mechanism leading to electron electric
dipole moment at the same level. We present here a short report on major
features of neutron electric dipole moment from supersymmetry without R-parity
and give the interesting constraints obtained.
