3

The three-dimensional Levi-Civita symbol is a function f taking triples of numbers (i,j,k) each in {1,2,3}, to {-1,0,1}, defined as:
f(i,j,k) = 0 when i,j,k are not distinct, i.e. i=j or j=k or k=i
f(i,j,k) = 1 when (i,j,k) is a cyclic shift of (1,2,3), that is one of (1,2,3), (2,3,1), (3,1,2)....