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Label Dimension Determinant Level Gram Matrix
4.1.2.1.1 4 1 2 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{array}\right)$
4.2.4.1.1 4 2 4 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 2 \end{array}\right)$
4.3.6.1.1 4 3 6 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 1 & 2 \end{array}\right)$
4.3.6.1.2 4 3 6 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 3 \end{array}\right)$
4.4.2.1.1 4 4 2 $\left(\begin{array}{rrrr} 2 & 0 & 0 & 1 \\ 0 & 2 & 0 & 1 \\ 0 & 0 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{array}\right)$
4.4.4.1.1 4 4 4 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end{array}\right)$
4.4.8.1.1 4 4 8 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 1 & -1 \\ 0 & 1 & 2 & 0 \\ 0 & -1 & 0 & 2 \end{array}\right)$
4.4.8.1.2 4 4 8 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 4 \end{array}\right)$
4.5.5.1.1 4 5 5 $\left(\begin{array}{rrrr} 2 & -1 & 0 & 0 \\ -1 & 2 & -1 & 0 \\ 0 & -1 & 2 & -1 \\ 0 & 0 & -1 & 2 \end{array}\right)$
4.5.10.1.1 4 5 10 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 5 \end{array}\right)$
4.5.10.1.2 4 5 10 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 1 & 3 \end{array}\right)$
4.6.12.1.1 4 6 12 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 3 \end{array}\right)$
4.7.14.1.1 4 7 14 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 1 & 1 \\ 0 & 1 & 2 & 0 \\ 0 & 1 & 0 & 3 \end{array}\right)$
4.8.4.1.1 4 8 4 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end{array}\right)$
4.8.8.1.1 4 8 8 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 4 \end{array}\right)$
4.8.8.1.2 4 8 8 $\left(\begin{array}{rrrr} 2 & 0 & 0 & 0 \\ 0 & 2 & 1 & -1 \\ 0 & 1 & 2 & 0 \\ 0 & -1 & 0 & 2 \end{array}\right)$
4.8.16.1.1 4 8 16 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 3 & 1 \\ 0 & 0 & 1 & 3 \end{array}\right)$
4.8.16.1.2 4 8 16 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 8 \end{array}\right)$
4.8.16.1.3 4 8 16 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & -1 & 0 \\ 0 & -1 & 3 & -1 \\ 0 & 0 & -1 & 2 \end{array}\right)$
4.8.16.1.4 4 8 16 $\left(\begin{array}{rrrr} 2 & 1 & -1 & -1 \\ 1 & 2 & 0 & -1 \\ -1 & 0 & 2 & 1 \\ -1 & -1 & 1 & 3 \end{array}\right)$
4.9.3.1.1 4 9 3 $\left(\begin{array}{rrrr} 2 & 1 & 0 & 0 \\ 1 & 2 & 0 & 0 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 1 & 2 \end{array}\right)$
4.9.6.1.1 4 9 6 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 3 \end{array}\right)$
4.9.6.1.2 4 9 6 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 1 & 0 \\ 0 & 1 & 2 & 0 \\ 0 & 0 & 0 & 3 \end{array}\right)$
4.9.18.1.1 4 9 18 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & -1 \\ 0 & 0 & -1 & 5 \end{array}\right)$
4.12.6.1.1 4 12 6 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 4 & -2 \\ 0 & 0 & -2 & 4 \end{array}\right)$
4.12.6.1.2 4 12 6 $\left(\begin{array}{rrrr} 2 & -1 & 0 & 0 \\ -1 & 3 & 1 & -1 \\ 0 & 1 & 2 & 0 \\ 0 & -1 & 0 & 2 \end{array}\right)$
4.12.12.1.1 4 12 12 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 6 \end{array}\right)$
4.12.12.1.2 4 12 12 $\left(\begin{array}{rrrr} 2 & 1 & 1 & 1 \\ 1 & 2 & 0 & 0 \\ 1 & 0 & 2 & 0 \\ 1 & 0 & 0 & 4 \end{array}\right)$
4.12.12.1.3 4 12 12 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 3 \end{array}\right)$
4.12.12.1.4 4 12 12 $\left(\begin{array}{rrrr} 2 & 0 & 0 & 1 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 1 & 0 & 0 & 2 \end{array}\right)$
4.12.24.1.1 4 12 24 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & -1 & 1 \\ 0 & -1 & 3 & -1 \\ 0 & 1 & -1 & 3 \end{array}\right)$
4.12.24.1.2 4 12 24 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 1 & 0 \\ 0 & 1 & 2 & 0 \\ 0 & 0 & 0 & 4 \end{array}\right)$
4.13.13.1.1 4 13 13 $\left(\begin{array}{rrrr} 2 & 1 & 1 & 0 \\ 1 & 2 & 0 & 1 \\ 1 & 0 & 2 & 0 \\ 0 & 1 & 0 & 4 \end{array}\right)$
4.15.30.1.1 4 15 30 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 1 \\ 0 & 0 & 3 & 0 \\ 0 & 1 & 0 & 3 \end{array}\right)$
4.16.4.1.1 4 16 4 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 3 & 1 & 1 \\ 0 & 1 & 3 & -1 \\ 0 & 1 & -1 & 3 \end{array}\right)$
4.16.8.1.1 4 16 8 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 4 & 0 \\ 0 & 0 & 0 & 4 \end{array}\right)$
4.16.8.1.2 4 16 8 $\left(\begin{array}{rrrr} 2 & 1 & 0 & 1 \\ 1 & 3 & -1 & 1 \\ 0 & -1 & 2 & -1 \\ 1 & 1 & -1 & 3 \end{array}\right)$
4.16.8.1.3 4 16 8 $\left(\begin{array}{rrrr} 2 & 1 & -1 & 0 \\ 1 & 2 & 0 & 0 \\ -1 & 0 & 2 & 0 \\ 0 & 0 & 0 & 4 \end{array}\right)$
4.16.8.1.4 4 16 8 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 4 \end{array}\right)$
4.16.16.1.1 4 16 16 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 3 & -1 \\ 0 & 0 & -1 & 3 \end{array}\right)$
4.16.32.1.1 4 16 32 $\left(\begin{array}{rrrr} 2 & 1 & 1 & -1 \\ 1 & 2 & 0 & 0 \\ 1 & 0 & 3 & -1 \\ -1 & 0 & -1 & 3 \end{array}\right)$
4.16.32.1.2 4 16 32 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 1 & -1 \\ 0 & 1 & 2 & 0 \\ 0 & -1 & 0 & 6 \end{array}\right)$
4.17.17.1.1 4 17 17 $\left(\begin{array}{rrrr} 2 & 1 & 0 & 1 \\ 1 & 2 & 0 & 0 \\ 0 & 0 & 2 & 1 \\ 1 & 0 & 1 & 4 \end{array}\right)$
4.20.10.1.1 4 20 10 $\left(\begin{array}{rrrr} 2 & 0 & 0 & 1 \\ 0 & 2 & 0 & 1 \\ 0 & 0 & 2 & 1 \\ 1 & 1 & 1 & 4 \end{array}\right)$
4.20.10.1.2 4 20 10 $\left(\begin{array}{rrrr} 2 & 1 & 1 & 1 \\ 1 & 2 & 0 & 0 \\ 1 & 0 & 2 & 0 \\ 1 & 0 & 0 & 6 \end{array}\right)$
4.20.10.1.3 4 20 10 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 3 & 1 & 1 \\ 0 & 1 & 3 & 1 \\ 0 & 1 & 1 & 3 \end{array}\right)$
4.20.20.1.1 4 20 20 $\left(\begin{array}{rrrr} 2 & 1 & 0 & 1 \\ 1 & 2 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 1 & 0 & 0 & 4 \end{array}\right)$
4.21.21.1.1 4 21 21 $\left(\begin{array}{rrrr} 2 & 1 & 0 & 0 \\ 1 & 2 & 0 & 0 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 1 & 4 \end{array}\right)$
4.21.21.1.2 4 21 21 $\left(\begin{array}{rrrr} 2 & 1 & 1 & 0 \\ 1 & 2 & 0 & 1 \\ 1 & 0 & 2 & 0 \\ 0 & 1 & 0 & 6 \end{array}\right)$
4.24.12.1.1 4 24 12 $\left(\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 6 \end{array}\right)$

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