Ehrhart polynomials of convex polytopes with small volumes

Let P⊂RdP⊂Rd be an integral convex polytope of dimension dd and δ(P)=(δ0,δ1,…,δd)δ(P)=(δ0,δ1,…,δd) be its δδ-vector. By using the known inequalities on δδ-vectors, we classify the possible δδ-vectors of convex polytopes of dimension dd with ∑i=0dδi≤3.