Table 1 The values of ${\mathit{c}}_{\mathbf{0}}$ , ${\mathit{c}}_{\mathbf{1}}$ and ${\mathit{c}}_{\mathbf{2}}$ for various choices of α and β for Example 1

0

1

2

−4

2

1

6

−6

2

2

12

−8

2

3

20

−10

2

4

30

−12

2

0

3

$\frac{2}{9}$

$-\frac{4}{9}$

$\frac{2}{9}$

1

$\frac{2}{3}$

$-\frac{2}{3}$

$\frac{2}{9}$

2

$\frac{4}{3}$

$-\frac{8}{9}$

$\frac{2}{9}$

3

$\frac{20}{9}$

$-\frac{10}{9}$

$\frac{2}{9}$

4

$\frac{10}{3}$

$-\frac{4}{3}$

$\frac{2}{9}$

0

2

$\frac{1}{2}$

−1

$\frac{1}{2}$

1

$\frac{3}{2}$

$-\frac{3}{2}$

$\frac{1}{2}$

2

3

−2

$\frac{1}{2}$

3

5

$-\frac{5}{2}$

$\frac{1}{2}$

4

$\frac{15}{2}$

−3

$\frac{1}{2}$

0

4

$\frac{1}{8}$

$-\frac{1}{4}$

$\frac{1}{8}$

1

$\frac{3}{8}$

$-\frac{3}{8}$

$\frac{1}{8}$

2

$\frac{3}{4}$

$-\frac{1}{2}$

$\frac{1}{8}$

3

$\frac{5}{4}$

$-\frac{5}{8}$

$\frac{1}{8}$

4

$\frac{15}{8}$

$-\frac{3}{4}$

$\frac{1}{8}$