Complete table for \(A_q(n,d)\) where \(n \le 5\)

d\n 1 2 3 4 5
1 \(2\) * (1) \(q+3\) * (1) \(2q^2+2q+4\) * (1) \(q^4+3q^3+4q^2+3q+5\) * (1) \(2q^6+2q^5+6q^4+6q^3+6q^2+4q+6\) * (1)
2 \(q+1\) * (1) \(q^2+q+2\) * (1) \(q^4+q^3+2q^2+q+3\) \(q^6+q^5+3q^4+3q^3+3q^2+2q+3\)
3 \(2\) * (2) \(q^2+1\) \(2q^3+2\)
4 \(q^2+1\) \(q^3+1\)
5 \(2\) * (3)
For more information and proofs we refer to HonoldKiermaierKurz20152.