Table 1 The coefficients ${\mathit{A}}_{\mathit{i}}$ and ${\mathit{B}}_{\mathit{i}}$ for $\mathbf{-}\mathbf{5}\mathbf{\le }\mathit{i}\mathbf{\le }\mathbf{5}$

$\begin{array}{l}-[{(a+b+6)}^2-\frac{1}{4}{(a-b-6)}^2\\ +\frac{1}{2}(a+b+6)(a-b-6)-11(a+b+6)\\ -\frac{13}{2}(a-b-6)+20]\end{array}$

$\begin{array}{l}{(a+b+6)}^2-\frac{1}{4}{(a-b-6)}^2\\ -\frac{1}{2}(a+b+6)(a-b-6)-17(a+b+6)\\ +\frac{1}{2}(a-b-6)+62\end{array}$

$\begin{array}{l}\frac{1}{2}(a+b+1)(a+b-3)\\ -\frac{1}{4}(a-b+3)(a-b-3)\end{array}$

−2(a + b − 1)

$-\frac{1}{2}(3a+b-2)$

$\frac{1}{2}(a+3b-2)$

$\frac{1}{2}(a+b-1)$

−2

−1

1

1

0

1

1

$\frac{1}{2}(a+b-1)$

2

$\frac{1}{2}(3a+b-2)$

$\frac{1}{2}(a+3b-2)$

$\begin{array}{l}\frac{1}{2}(a+b+1)(a+b-3)\\ -\frac{1}{4}(a-b+3)(a-b-3)\end{array}$

2(a + b − 1)

$\begin{array}{l}{(a+b-4)}^2-\frac{1}{4}{(a-b+4)}^2\\ +\frac{1}{2}(a+b-4)(a-b+4)\\ +4(a+b-4)+\frac{7}{2}(a-b+4)\end{array}$

$\begin{array}{l}{(a+b-4)}^2-\frac{1}{4}{(a-b+4)}^2\\ -\frac{1}{2}(a+b-4)(a-b+4)\\ +8(a+b-4)+\frac{1}{2}(a-b+4)+12\end{array}$