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

Compute

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)	$q^4+q^3+2q^2+q+3$ * (1)	$q^6+q^5+3q^4+3q^3+3q^2+2q+3$ * (1)
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 HonoldKiermaierKurz20163.