We present the full result for the down squark mass-squared matrix in the c
omplete theory of supersymmetry without R parity where all kinds of R-parit
y violating: terms are admitted without bias using an optimal parametrizati
on. The major result is a new contribution to LR squark mixing, involving b
oth bilinear and trilinear R-parity violating couplings. Among other things
, the latter leads to neutron electric dipole moment at one-loop level. Sim
ilar mechanisms lead 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 constr
aints obtained.