Some comments:

Sp, SOo and SOe represents the representations in L_24 (respectively Symplectic, Orthogonal of odd dimension, Orthogonal of even dimension). They are vectors of [p,m] where p is the relevant vector of nonnegative weights and m the number of rep. with this set of weights (always 1, except for p=[23/2]).

wmot(pi) is the motivic weight of pi, given as [p,m]
altos(pi) is 1 if pi is symplectic, 0 if pi is orthogonal
Pialg is again the set of all pi, but of the form [p, all weights, dimension, motivic weight, 1 or 0, name, m]
dmax(p,w) is the maximal d such that, for a pi of weights p, pi[d] has all its weights integer and <= w/2 (w here is an even integer)
makePidisc(w) is the vector of all pi[d] with d <= max(weights(pi),w) and d = max(weights(pi),w) mod (2)
tot=makePidisc(24)
res is our list of 199 parameters
final is the result


----------results---------


Oo[11]				1			[12]

[1]+S[17/2][2]			2			[10, 10]
[1]+S[21/2][2]			2			[12, 12]

S[11/2][2]+Oo[11]		3			[12, 8, 8]
S[15/2][2]+Oo[11]		3			[12, 10, 10]
S[19/2][2]+Oo[11]		3			[12, 12, 12]
Oo[12, 8, 4]			3			[13, 10, 7]

[1]+S[11/2][4]			4			[8, 8, 8, 8]
[1]+S[15/2][4]			4			[10, 10, 10, 10]
[1]+S[19/2, 7/2][2]		4			[11, 11, 7, 7]
[1]+S[21/2, 5/2][2]		4			[12, 12, 6, 6]
[1]+S[21/2, 9/2][2]		4			[12, 12, 8, 8]
[1]+S[21/2, 13/2][2]		4			[12, 12, 10, 10]
[1]+S[19/2][4]			4			[12, 12, 12, 12]
[1]+S[17/2][2]+S[21/2][2]	4			[12, 12, 12, 12]
[1]+Oe[12, 9, 5, 2]		4			[13, 11, 8, 6]
[1]+Oe[12, 10, 7, 1]		4			[13, 12, 10, 5]
[1]+S[23/2, 7/2][2]		4			[13, 13, 7, 7]

S[11/2][2]+S[15/2][2]+Oo[11]	5			[12, 10, 10, 10, 10]
S[19/2, 7/2][2]+Oo[11]		5			[12, 12, 12, 8, 8]
S[11/2][2]+S[19/2][2]+Oo[11]	5			[12, 12, 12, 10, 10]
S[17/2][4]+Oo[11]		5			[12, 12, 12, 12, 12]
S[15/2][2]+S[19/2][2]+Oo[11]	5			[12, 12, 12, 12, 12]
S[19/2][2]+Oo[12, 8, 4]		5			[13, 12, 12, 12, 9]

[1]+S[11/2][4]+S[17/2][2]		6			[10, 10, 10, 10, 10, 10]
[1]+S[11/2][4]+S[21/2][2]		6			[12, 12, 10, 10, 10, 10]
[1]+S[17/2][2]+S[21/2, 5/2][2]		6			[12, 12, 12, 12, 8, 8]
[1]+S[17/2][2]+S[21/2, 9/2][2]		6			[12, 12, 12, 12, 10, 10]
[1]+S[17/2][6]				6			[12, 12, 12, 12, 12, 12]
[1]+S[15/2][4]+S[21/2][2]		6			[12, 12, 12, 12, 12, 12]
[1]+S[17/2][2]+S[21/2, 13/2][2]		6			[12, 12, 12, 12, 12, 12]
[1]+S[17/2][2]+Oe[12, 10, 7, 1]		6			[13, 12, 12, 12, 12, 7]
[1]+S[17/2][2]+S[23/2, 7/2][2]		6			[13, 13, 12, 12, 9, 9]

S[11/2][6]+Oo[11]			7			[12, 10, 10, 10, 10, 10, 10]
S[11/2][2]+S[19/2, 7/2][2]+Oo[11]	7			[12, 12, 12, 10, 10, 10, 10]
S[15/2][2]+S[19/2, 7/2][2]+Oo[11]	7			[12, 12, 12, 12, 12, 10, 10]
S[15/2][6]+Oo[11]			7			[12, 12, 12, 12, 12, 12, 12]
S[11/2][2]+S[17/2][4]+Oo[11]		7			[12, 12, 12, 12, 12, 12, 12]
S[11/2][2]+S[15/2][2]+S[19/2][2]+Oo[11]	7			[12, 12, 12, 12, 12, 12, 12]
S[21/2, 5/2][2]+Oo[12, 8, 4]		7			[13, 13, 13, 12, 9, 9, 9]

[1]+S[11/2][8]				8			[10, 10, 10, 10, 10, 10, 10, 10]
[1]+S[15/2][8]				8			[12, 12, 12, 12, 12, 12, 12, 12]
[1]+S[11/2][4]+S[19/2][4]		8			[12, 12, 12, 12, 12, 12, 12, 12]
[1]+S[19/2, 7/2][4]			8			[12, 12, 12, 12, 10, 10, 10, 10]
[1]+S[11/2][4]+S[17/2][2]+S[21/2][2]	8			[12, 12, 12, 12, 12, 12, 12, 12]
[1]+S[11/2][4]+S[21/2, 5/2][2]		8			[12, 12, 10, 10, 10, 10, 10, 10]
[1]+S[15/2][4]+S[21/2, 5/2][2]		8			[12, 12, 12, 12, 12, 12, 10, 10]
[1]+S[15/2][4]+S[21/2, 9/2][2]		8			[12, 12, 12, 12, 12, 12, 12, 12]
[1]+S[15/2][4]+S[23/2, 7/2][2]		8			[13, 13, 12, 12, 12, 12, 11, 11]
[1]+S[21/2, 5/2][4]			8			[13, 13, 13, 13, 9, 9, 9, 9]
[1]+S[21/2, 9/2][4]			8			[13, 13, 13, 13, 11, 11, 11, 11]
[1]+S[21/2, 13/2][4]			8			[13, 13, 13, 13, 13, 13, 13, 13]

S[11/2][6]+S[19/2][2]+Oo[11]			9			[12, 12, 12, 12, 12, 12, 12, 12, 12]
S[11/2][2]+S[15/2][2]+S[19/2, 7/2][2]+Oo[11]	9			[12, 12, 12, 12, 12, 12, 12, 12, 12]

[1]+S[11/2][8]+S[21/2][2]			10			[12, 12, 12, 12, 12, 12, 12, 12, 12, 12]
[1]+S[11/2][4]+S[17/2][2]+S[21/2, 5/2][2]	10			[12, 12, 12, 12, 12, 12, 12, 12, 12, 12]


S[11/2][10]+Oo[11]				11			[12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]

[1]+S[19/2, 7/2][6]				12			[13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13]


---- tex tables


\begin{table}[htp]

\renewcommand{\arraystretch}{1.5}

{\scriptsize

\hspace{-.6cm}
\begin{tabular}{c|c|c}
$\psi$ & $g$ & $\underline{k}$ \cr
\hline
${\rm S}(11/2)[2]\oplus {\rm O}_o(11)$ & $3$ & $(12, 8, 8)$ \cr
${\rm S}(15/2)[2]\oplus {\rm O}_o(11)$ & $3$ & $(12, 10, 10)$ \cr
${\rm O}_o(12, 8, 4)$ & $3$ & $(13, 10, 7)$ \cr
\hline 
$[1]\oplus {\rm S}(19/2, 7/2)[2]$ & $4$ & $(11, 11, 7, 7)$ \cr
$[1]\oplus {\rm S}(21/2, 5/2)[2]$ & $4$ & $(12, 12, 6, 6)$ \cr
$[1]\oplus {\rm S}(21/2, 9/2)[2]$ & $4$ & $(12, 12, 8, 8)$ \cr
$[1]\oplus {\rm S}(21/2, 13/2)[2]$ & $4$ & $(12, 12, 10, 10)$ \cr
$[1]\oplus {\rm O}_e(12, 9, 5, 2)$ & $4$ & $(13, 11, 8, 6)$ \cr
$[1]\oplus {\rm O}_e(12, 10, 7, 1)$ & $4$ & $(13, 12, 10, 5)$ \cr
$[1]\oplus {\rm S}(23/2, 7/2)[2]$ & $4$ & $(13, 13, 7, 7)$ \cr
\hline 
${\rm S}(11/2)[2]\oplus {\rm S}(15/2)[2]\oplus {\rm O}_o(11)$ & $5$ & $(12, 10, 10, 10, 10)$ \cr
${\rm S}(19/2, 7/2)[2]\oplus {\rm O}_o(11)$ & $5$ & $(12, 12, 12, 8, 8)$ \cr
${\rm S}(11/2)[2]\oplus {\rm S}(19/2)[2]\oplus {\rm O}_o(11)$ & $5$ & $(12, 12, 12, 10, 10)$ \cr
${\rm S}(19/2)[2]\oplus {\rm O}_o(12, 8, 4)$ & $5$ & $(13, 12, 12, 12, 9)$ \cr
\hline 
$[1]\oplus {\rm S}(11/2)[4]\oplus {\rm S}(21/2)[2]$ & $6$ & $(12, 12, 10, 10, 10, 10)$ \cr
$[1]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(21/2, 5/2)[2]$ & $6$ & $(12, 12, 12, 12, 8, 8)$ \cr
$[1]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(21/2, 9/2)[2]$ & $6$ & $(12, 12, 12, 12, 10, 10)$ \cr
$[1]\oplus {\rm S}(17/2)[2]\oplus {\rm O}_e(12, 10, 7, 1)$ & $6$ & $(13, 12, 12, 12, 12, 7)$ \cr
$[1]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(23/2, 7/2)[2]$ & $6$ & $(13, 13, 12, 12, 9, 9)$ \cr
\hline 
${\rm S}(11/2)[6]\oplus {\rm O}_o(11)$ & $7$ & $(12, 10, 10, 10, 10, 10, 10)$ \cr
${\rm S}(11/2)[2]\oplus {\rm S}(19/2, 7/2)[2]\oplus {\rm O}_o(11)$ & $7$ & $(12, 12, 12, 10, 10, 10, 10)$ \cr
${\rm S}(15/2)[2]\oplus {\rm S}(19/2, 7/2)[2]\oplus {\rm O}_o(11)$ & $7$ & $(12, 12, 12, 12, 12, 10, 10)$ \cr
${\rm S}(21/2, 5/2)[2]\oplus {\rm O}_o(12, 8, 4)$ & $7$ & $(13, 13, 13, 12, 9, 9, 9)$ \cr
\hline 
$[1]\oplus {\rm S}(19/2, 7/2)[4]$ & $8$ & $(12, 12, 12, 12, 10, 10, 10, 10)$ \cr
$[1]\oplus {\rm S}(11/2)[4]\oplus {\rm S}(21/2, 5/2)[2]$ & $8$ & $(12, 12, 10, 10, 10, 10, 10, 10)$ \cr
$[1]\oplus {\rm S}(15/2)[4]\oplus {\rm S}(21/2, 5/2)[2]$ & $8$ & $(12, 12, 12, 12, 12, 12, 10, 10)$ \cr
$[1]\oplus {\rm S}(15/2)[4]\oplus {\rm S}(23/2, 7/2)[2]$ & $8$ & $(13, 13, 12, 12, 12, 12, 11, 11)$ \cr
$[1]\oplus {\rm S}(21/2, 5/2)[4]$ & $8$ & $(13, 13, 13, 13, 9, 9, 9, 9)$ \cr
$[1]\oplus {\rm S}(21/2, 9/2)[4]$ & $8$ & $(13, 13, 13, 13, 11, 11, 11, 11)$ \cr
\end{tabular} \ps  
}\ps
{\small 
\caption{Standard parameters $\psi$ of non scalar-valued cuspidal Siegel modular eigenforms of weight $\underline{k}=(k_1,\dots,k_g)$ and genus $g$ with $k_1 \leq 13$ and $k_g>g$.}
}
\label{tableleq13nonscal}
\end{table}



\begin{table}[htp]

\renewcommand{\arraystretch}{1.5}

{\scriptsize

\hspace{-.6cm}
\begin{tabular}{c|c|c}
$\psi$ & $g$ & $k$ \cr
\hline 
${\rm O}_o(11)$ & $1$ & $12$ \cr
\hline 
$[1]\oplus {\rm S}(17/2)[2]$ & $2$ & $10$ \cr
$[1]\oplus {\rm S}(21/2)[2]$ & $2$ & $12$ \cr
\hline 
${\rm S}(19/2)[2]\oplus {\rm O}_o(11)$ & $3$ & $12$ \cr
\hline 
$[1]\oplus {\rm S}(11/2)[4]$ & $4$ & $8$ \cr
$[1]\oplus {\rm S}(15/2)[4]$ & $4$ & $10$ \cr
$[1]\oplus {\rm S}(19/2)[4]$ & $4$ & $12$ \cr
$[1]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(21/2)[2]$ & $4$ & $12$ \cr
\hline 
${\rm S}(17/2)[4]\oplus {\rm O}_o(11)$ & $5$ & $12$ \cr
${\rm S}(15/2)[2]\oplus {\rm S}(19/2)[2]\oplus {\rm O}_o(11)$ & $5$ & $12$ \cr
\hline 
$[1]\oplus {\rm S}(11/2)[4]\oplus {\rm S}(17/2)[2]$ & $6$ & $10$ \cr
$[1]\oplus {\rm S}(17/2)[6]$ & $6$ & $12$ \cr
$[1]\oplus {\rm S}(15/2)[4]\oplus {\rm S}(21/2)[2]$ & $6$ & $12$ \cr
$[1]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(21/2, 13/2)[2]$ & $6$ & $12$ \cr
\hline 
${\rm S}(15/2)[6]\oplus {\rm O}_o(11)$ & $7$ & $12$ \cr
${\rm S}(11/2)[2]\oplus {\rm S}(17/2)[4]\oplus {\rm O}_o(11)$ & $7$ & $12$ \cr
${\rm S}(11/2)[2]\oplus {\rm S}(15/2)[2]\oplus {\rm S}(19/2)[2]\oplus {\rm O}_o(11)$ & $7$ & $12$ \cr
\hline 
$[1]\oplus {\rm S}(11/2)[8]$ & $8$ & $10$ \cr
$[1]\oplus {\rm S}(15/2)[8]$ & $8$ & $12$ \cr
$[1]\oplus {\rm S}(11/2)[4]\oplus {\rm S}(19/2)[4]$ & $8$ & $12$ \cr
$[1]\oplus {\rm S}(11/2)[4]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(21/2)[2]$ & $8$ & $12$ \cr
$[1]\oplus {\rm S}(15/2)[4]\oplus {\rm S}(21/2, 9/2)[2]$ & $8$ & $12$ \cr
$[1]\oplus {\rm S}(21/2, 13/2)[4]$ & $8$ & $13$ \cr
\hline 
${\rm S}(11/2)[6]\oplus {\rm S}(19/2)[2]\oplus {\rm O}_o(11)$ & $9$ & $12$ \cr
${\rm S}(11/2)[2]\oplus {\rm S}(15/2)[2]\oplus {\rm S}(19/2, 7/2)[2]\oplus {\rm O}_o(11)$ & $9$ & $12$ \cr
\hline
$[1]\oplus {\rm S}(11/2)[8]\oplus {\rm S}(21/2)[2]$ & $10$ & $12$ \cr
$[1]\oplus {\rm S}(11/2)[4]\oplus {\rm S}(17/2)[2]\oplus {\rm S}(21/2, 5/2)[2]$ & $10$ & $12$ \cr
\hline 
${\rm S}(11/2)[10]\oplus {\rm O}_o(11)$ & $11$ & $12$ \cr
\hline 
${\rm S}(11/2)[12]$ & $12$ & $12$\cr
$[1]\oplus {\rm S}(19/2, 7/2)[6]$ & $12$ & $13$ \cr
\hline 
$[1]\oplus [7] \oplus {\rm S}(17/2)[8] \oplus [9]$ & $16$ & $13$ \cr
\hline 
$[25] \oplus {\rm S}(11/2)[12]$ & $24$ & $13$\cr 
\end{tabular} \ps  
}
\ps\ps
{\small
\caption{Standard parameters $\psi$ of scalar-valued cuspidal Siegel modular eigenforms of weight $k\leq 13$ and arbitrary genus $g$.}
}
\label{tableleq13scal}
\end{table}

------