$x_2^1$

$x_2^2$

$x_2^3$

$A_1$

$\left\{s_0,s_{-1},s_{-1}\right\}$

$\left\{s_2,s_0,s_{-1}\right\}$

$\left\{s_3,s_1,s_0\right\}$

$A_2$

$\left\{s_2,s_0,s_0\right\}$

$\left\{s_1,s_0,s_0\right\}$

$\left\{s_1,s_0,s_{-1}\right\}$

$A_3$

$\left\{s_1,s_0,s_{-1}\right\}$

$\left\{s_2,s_1,s_{-1}\right\}$

$\left\{s_1,s_0,s_0\right\}$

$A_4$

$\left\{s_2,s_1,s_0\right\}$

$\left\{s_1,s_0,s_{-1}\right\}$

$\left\{s_3,s_1,s_{-1}\right\}$

$A_5$

$\left\{s_3,s_2,s_{-1}\right\}$

$\left\{s_2,s_0,s_0\right\}$

$\left\{s_1,s_{-1},s_{-1}\right\}$