& \bullet  \hspace{1 mm}
              \bullet \hspace{1 mm} \bullet
              & & \overset{g_0}{\bullet} \ar[dl] \ar[dr] \\
            &  & & \underset{f_{n-1}}{\bullet} & & \underset{f_{n-2}}{\bullet} &  & &  \underset{f_1}{\bullet} & &
              \underset{f_0}{\bullet}
            }$$ where $a(g_{n-1}) = \sum_{i = 0}^{n-1} \theta_i f_i$, as represented by the vertical dotted arrow emanating from $g_{n-1}$ above.

    2.  For each even dimension $2n$ there is an indecomposable representation given by $$\xymatrix@=2em{
        & & \bullet \ar[dr]^b \ar[dl]_a & & \bullet \ar[dl] \ar[dr] & & &
             \bullet \ar[dr] & & \bullet \ar[dl]   \\
         &     \bullet &  & \bullet & & \bullet & \bullet  \hspace{1 mm}
              \bullet \hspace{1 mm} \bullet & &  \bullet &
        }$$

3.  The (non-projective) indecomposable odd dimensional modules:

    1.  The trivial representation $k$. $$\bullet$$

    2.  For each odd dimension $2n+1$ greater than one, there is an indecomposable representation given by $$\xymatrix@=2em{
            &  \bullet \ar[dr]_b & & \bullet\ar[dl]^a \ar[dr] &  & \bullet \ar[dl]  & \bullet  \hspace{1 mm}
              \bullet \hspace{1 mm} \bullet & \bullet \ar[dr]
              & & \bullet \ar[dl] \\
            &   & \bullet & & \bullet &  & &  & \bullet &
            }$$

    3.  For each odd dimension $2n+1$ greater than one, there is an indecomposable representation given by $$\xymatrix@=2em{
        & & \bullet \ar[dr]^b \ar[dl]_a & & \bullet \ar[dl] \ar[dr] 