\def\la{\lambda}
\def\\{\backslash}
\overfullrule=0pt
\font\bol=cmbx10 scaled\magstephalf
\headline={ \hss Mike Zabrocki  (Oct. 1998)  \ \ \folio }

$$
\matrix {
\mu \\ \la & [5] & [4,1] & [3,2] & [3,1,1] \cr
& & & & \cr
[5] & 1  &  {q}^{3}+{q}^{2}+1+q+{q}^{4}  &  \left (1+{q}^{2}\right )\left ({q}^{3}+{q}^{2}+1+q+{q}^{4}\right )  &  \left
(q+1\right )\left (1+{q}^{2}\right )\left ({q}^{3}+{q}^{2}+1+q+{ q}^{4}\right )     \cr
& & & &  \cr
[4,1] & t  &  1+t+qt+{q}^{2}t+{q}^{3}t  &  1+t+q+qt+2\,{q}^{2}t+{q}^{2}+2\,{q}^{3}t+{q}^{4}t  & 
2+t+2\,q+{q}^{5}t+2\,qt+3\,{q}^{2}t+2\,{q}^{2}+{q}^{3}+4\,{q}^{3}t+2\, {q}^{4}t   \cr
& & & &  \cr
[3,2] & {t}^{2}  &  t\left (1+t+q+{q}^{2}t+qt\right )  &  1+t+{t}^{2}+2\,qt+{q}^{2}t+2\,{q}^{2}{t}^{2}+q{t}^{2}+{q}^{3}{t}^{2}  & 
\left (q+1\right )\left (2\,{q}^{2}{t}^{2}+{q}^{2}t+2\,qt+q{t}^{2}+1+2
\,t+{t}^{2}\right )     \cr
 & & & &  \cr
[3,1,1] & {t}^{3}  &  t\left (1+{t}^{2}+t+q{t}^{2}+{q}^{2}{t}^{2}\right )  &  t\left
(2+{t}^{2}+t+q+q{t}^{2}+2\,{q}^{2}{t}^{2}+{q}^{2}t+qt\right )  & 
1+3\,t+{t}^{3}+2\,{t}^{2}+2\,qt+2\,q{t}^{3}+3\,{q}^{2}{t}^{3}+{q}^{3}{ t}^{3}+{q}^{2}t+2\,{q}^{2}{t}^{2}+2\,q{t}^{2}     \cr
 & & & & \cr
[2,2,1] & {t}^{4}  &  {t}^{2}\left (q{t}^{2}+t+1+{t}^{2}+qt\right )  &  t\left
(1+q{t}^{3}+{t}^{2}+2\,t+{t}^{3}+2\,q{t}^{2}+qt+{q}^{2}{t}^{3}
\right )  &  t\left (t+1\right )\left (2\,q{t}^{2}+{t}^{2}+{q}^{2}{t}^{2}+2\,qt+t+q
+2\right )      \cr
 & & & & \cr
[2,1,1,1] & {t}^{6}  &  {t}^{3}\left (1+{t}^{2}+t+q{t}^{3}+{t}^{3}\right )  &  {t}^{2}\left
(q{t}^{2}+2\,t+1+{t}^{3}+2\,{t}^{2}+q{t}^{4}+{t}^{4}+q{t} ^{3}\right )  &  t\left
(1+2\,q{t}^{3}+4\,{t}^{2}+2\,t+2\,{t}^{4}+3\,{t}^{3}+q{t}^{2}+2
\,q{t}^{5}+{t}^{5}+2\,q{t}^{4}\right )    \cr
 & & & & \cr
[1,1,1,1,1] & {t}^{10}  &  {t}^{6}\left ({t}^{4}+{t}^{3}+{t}^{2}+t+1\right )  &  {t}^{4}\left ({t}^{2}+1\right )\left
({t}^{4}+{t}^{3}+{t}^{2}+t+1
\right )  &  {t}^{3}\left (t+1\right )\left ({t}^{2}+1\right )\left ({t}^{4}+{t}^{3
}+{t}^{2}+t+1\right )  
}
$$

$$
\matrix{
[2,2,1] & [2,1,1,1] \cr
& \cr
 \left ({q}^{2}+1+q\right )\left ({q}^{3}+{q}^{2}+1+q+{q}^{4}\right )
\left (1+{q}^{2}\right )  &  \left (q+1\right )\left ({q}^{2}+1+q\right )\left ({q}^{3}+{q}^{2}+1+q
+{q}^{4}\right )\left (1+{q}^{2}\right )   \cr
 & \cr
\left ({q}^{2}+1+q\right )\left (2\,{q}^{3}t+2\,{q}^{2}t+{q}^{2}+qt+q+
2+t\right )  &  \left ({q}^{2}+1+q\right )\left ({q}^{4}t+4\,{q}^{3}t+{q}^{3}+2\,{q}^{
2}+3\,{q}^{2}t+3\,q+2\,qt+3+t\right )  \cr
 &  \cr
 2+2\,t+2\,q+{t}^{2}+5\,qt+5\,{q}^{2}t+4\,{q}^{2}{t}^{2}+2\,q{t}^{2}+{q
}^{2}+3\,{q}^{3}{t}^{2}+2\,{q}^{3}t+{q}^{4}{t}^{2}  &  \left (q+1\right )\left (2\,{q}^{3}{t}^{2}+{q}^{3}t+{q}^{2}+4\,{q}^{2}
{t}^{2}+5\,{q}^{2}t+6\,qt+2\,q{t}^{2}+2\,q+3+3\,t+{t}^{2}\right )   \cr
 & \cr
 1+4\,t+q+{t}^{3}+2\,{t}^{2}+4\,qt+2\,q{t}^{3}+4\,{q}^{2}{t}^{3}+{q}^{3
}{t}^{3}+2\,{q}^{2}t+4\,{q}^{2}{t}^{2}+3\,q{t}^{2}+{q}^{3}{t}^{2}  &  3+6\,t+3\,q+{t}^{3}+3\,{t}^{2}+8\,qt+3\,q{t}^{3}+6\,{q}^{2}{t}^{3}+3\,
{q}^{3}{t}^{3}+5\,{q}^{2}t+8\,{q}^{2}{t}^{2}+6\,q{t}^{2}+{q}^{2}+3\,{q
}^{3}{t}^{2}+{q}^{3}t   \cr
 & \cr
1+3\,t+2\,q{t}^{4}+2\,{t}^{3}+4\,{t}^{2}+{t}^{4}+2\,qt+5\,q{t}^{3}+2\,
{q}^{2}{t}^{3}+{q}^{2}{t}^{2}+5\,q{t}^{2}+2\,{q}^{2}{t}^{4}  &  \left (t+1\right )\left (3\,q{t}^{3}+{t}^{3}+3\,{q}^{2}{t}^{3}+2\,{t}^
{2}+2\,{q}^{2}{t}^{2}+6\,q{t}^{2}+{q}^{2}t+4\,t+5\,qt+q+2\right )   \cr
 & \cr
t\left ({t}^{2}+t+1\right )\left (2\,q{t}^{3}+{t}^{3}+q{t}^{2}+{t}^{2}
+qt+2\,t+2\right )  &  \left ({t}^{2}+t+1\right )\left (3\,q{t}^{4}+{t}^{4}+2\,{t}^{3}+3\,q{t
}^{3}+2\,q{t}^{2}+3\,{t}^{2}+4\,t+qt+1\right )  \cr
 & \cr
{t}^{2}\left ({t}^{2}+t+1\right )\left ({t}^{4}+{t}^{3}+{t}^{2}+t+1
\right )\left ({t}^{2}+1\right )  &  t\left (t+1\right )\left ({t}^{2}+t+1\right )\left ({t}^{4}+{t}^{3}+{t
}^{2}+t+1\right )\left ({t}^{2}+1\right )
}$$

$$
\matrix{
[1,1,1,1,1] \cr
  \left ({q}^{2}+1+q\right )\left ({q}^{3}+{q}^{2}+1+q+{q}^{4}\right )
\left (1+{q}^{2}\right )\left (q+1\right )^{2} \cr
  \cr
  \left (q+1\right )\left ({q}^{2}+1+q\right )\left (4\,{q}^{3}t+{q}^{3}
+2\,{q}^{2}+3\,{q}^{2}t+3\,q+2\,qt+t+4\right ) \cr
 & & \cr
  \left (q+1\right )\left (5\,{q}^{3}{t}^{2}+4\,{q}^{3}t+{q}^{3}+11\,{q}
^{2}t+6\,{q}^{2}{t}^{2}+3\,{q}^{2}+3\,q{t}^{2}+6\,q+11\,qt+4\,t+{t}^{2
}+5\right ) \cr
  \cr
  \left (q+1\right )\left (t+1\right )\left (6\,{q}^{2}{t}^{2}+3\,q{t}^{
2}+{t}^{2}+3\,{q}^{2}t+4\,qt+3\,t+{q}^{2}+3\,q+6\right ) \cr
 & & \cr
  \left (t+1\right )\left (4\,q{t}^{3}+{t}^{3}+5\,{q}^{2}{t}^{3}+3\,{t}^
{2}+11\,q{t}^{2}+6\,{q}^{2}{t}^{2}+3\,{q}^{2}t+6\,t+11\,qt+{q}^{2}+4\,
q+5\right ) \cr
  \cr
  \left (t+1\right )\left ({t}^{2}+t+1\right )\left (4\,q{t}^{3}+{t}^{3}
+2\,{t}^{2}+3\,q{t}^{2}+2\,qt+3\,t+4+q\right ) \cr
  \cr
  \left ({t}^{2}+t+1\right )\left ({t}^{4}+{t}^{3}+{t}^{2}+t+1\right )
\left ({t}^{2}+1\right )\left (t+1\right )^{2}
}$$

\end