On the local base of a primitive and nonpowerful sign pattern

Denote by lA(k)lA(k) the kkth smallest local base of a primitive and nonpowerful sign pattern AA. In this paper, more “gaps” for the kkth local base are shown, and the primitive and nonpowerful sign patterns with the kkth local base in [2n2−8n+9+k,2n2−4n+k][2n2−8n+9+k,2n2−4n+k] are completely characterized.