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Label Dimension Determinant Level Gram Matrix
6.1.2.1.1 6 1 2 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right)$
6.2.4.1.1 6 2 4 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.3.3.1.1 6 3 3 $\left(\begin{array}{rrrrrr} 2 & -1 & 0 & 0 & 0 & 0 \\ -1 & 2 & -1 & 0 & 0 & 0 \\ 0 & -1 & 2 & -1 & 0 & -1 \\ 0 & 0 & -1 & 2 & -1 & 0 \\ 0 & 0 & 0 & -1 & 2 & 0 \\ 0 & 0 & -1 & 0 & 0 & 2 \end{array}\right)$
6.3.6.1.1 6 3 6 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 3 \end{array}\right)$
6.3.6.1.2 6 3 6 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 & 0 \\ 0 & 0 & 0 & 1 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right)$
6.4.2.1.1 6 4 2 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & -1 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 & 2 & -2 \\ 0 & 0 & 0 & 0 & -2 & 4 \end{array}\right)$
6.4.4.1.1 6 4 4 $\left(\begin{array}{rrrrrr} 2 & 0 & 1 & 0 & 0 & 0 \\ 0 & 2 & -1 & 0 & 0 & 0 \\ 1 & -1 & 2 & -1 & 0 & 0 \\ 0 & 0 & -1 & 2 & -1 & 0 \\ 0 & 0 & 0 & -1 & 2 & -1 \\ 0 & 0 & 0 & 0 & -1 & 2 \end{array}\right)$
6.4.4.1.2 6 4 4 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.4.8.1.1 6 4 8 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 & -1 \\ 0 & 0 & 0 & 1 & 2 & 0 \\ 0 & 0 & 0 & -1 & 0 & 2 \end{array}\right)$
6.5.10.1.1 6 5 10 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 & 0 \\ 0 & 0 & 0 & 1 & 3 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right)$
6.7.7.1.1 6 7 7 $\left(\begin{array}{rrrrrr} 2 & -1 & 0 & 0 & 0 & 0 \\ -1 & 2 & -1 & 0 & 0 & 0 \\ 0 & -1 & 2 & -1 & 0 & 0 \\ 0 & 0 & -1 & 2 & -1 & 0 \\ 0 & 0 & 0 & -1 & 2 & -1 \\ 0 & 0 & 0 & 0 & -1 & 2 \end{array}\right)$
6.7.14.1.1 6 7 14 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & 1 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 1 & 0 & 3 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right)$
6.8.8.1.1 6 8 8 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & 1 & 1 & -1 \\ 0 & 1 & 2 & 1 & 1 & 0 \\ 0 & 1 & 1 & 2 & 1 & -1 \\ 0 & 1 & 1 & 1 & 2 & -1 \\ 0 & -1 & 0 & -1 & -1 & 2 \end{array}\right)$
6.8.16.1.1 6 8 16 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & -1 & 0 \\ 0 & 0 & 0 & -1 & 3 & -1 \\ 0 & 0 & 0 & 0 & -1 & 2 \end{array}\right)$
6.8.16.1.2 6 8 16 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & -1 & -1 \\ 0 & 0 & 1 & 2 & 0 & -1 \\ 0 & 0 & -1 & 0 & 2 & 1 \\ 0 & 0 & -1 & -1 & 1 & 3 \end{array}\right)$
6.11.11.1.1 6 11 11 $\left(\begin{array}{rrrrrr} 2 & 1 & 1 & 1 & 1 & 1 \\ 1 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 2 & 0 & 0 & 1 \\ 1 & 0 & 0 & 2 & 1 & 0 \\ 1 & 1 & 0 & 1 & 2 & 0 \\ 1 & 0 & 1 & 0 & 0 & 4 \end{array}\right)$
6.12.6.1.1 6 12 6 $\left(\begin{array}{rrrrrr} 2 & 1 & 1 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 & 0 & 0 \\ 1 & 1 & 2 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 1 & 0 \\ 1 & 0 & 1 & 1 & 2 & 0 \\ 1 & 0 & 0 & 0 & 0 & 4 \end{array}\right)$
6.12.6.1.2 6 12 6 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 1 & 0 & 0 \\ 0 & 2 & 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 \\ 1 & 1 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 1 & 2 \end{array}\right)$
6.12.6.1.3 6 12 6 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 & 1 & 0 \\ 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 0 & 0 & 2 & 1 & 0 \\ 0 & 1 & 1 & 1 & 3 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right)$
6.12.12.1.1 6 12 12 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 1 & 0 & 0 \\ 0 & 2 & 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 & 1 & 0 \\ 1 & 1 & 0 & 2 & 0 & 0 \\ 0 & 1 & 1 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.15.15.1.1 6 15 15 $\left(\begin{array}{rrrrrr} 2 & 1 & 0 & 1 & 0 & 0 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 \\ 1 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 1 & 2 \end{array}\right)$
6.15.15.1.2 6 15 15 $\left(\begin{array}{rrrrrr} 2 & -1 & -1 & 1 & 1 & -1 \\ -1 & 2 & 1 & 0 & 0 & 1 \\ -1 & 1 & 2 & 0 & 0 & 0 \\ 1 & 0 & 0 & 2 & 1 & 0 \\ 1 & 0 & 0 & 1 & 2 & -1 \\ -1 & 1 & 0 & 0 & -1 & 4 \end{array}\right)$
6.16.2.1.1 6 16 2 $\left(\begin{array}{rrrrrr} 2 & 0 & 1 & 1 & 0 & 0 \\ 0 & 2 & -1 & -1 & -2 & 0 \\ 1 & -1 & 3 & 1 & 2 & 2 \\ 1 & -1 & 1 & 3 & 0 & 0 \\ 0 & -2 & 2 & 0 & 4 & 0 \\ 0 & 0 & 2 & 0 & 0 & 4 \end{array}\right)$
6.16.4.1.1 6 16 4 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 & 1 & 0 \\ 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 0 & 0 & 2 & 1 & 0 \\ 0 & 1 & 1 & 1 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.16.4.1.2 6 16 4 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.16.4.1.3 6 16 4 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & -1 & 1 & 1 \\ 0 & 1 & 2 & 0 & 1 & 1 \\ 0 & -1 & 0 & 2 & -1 & -1 \\ 0 & 1 & 1 & -1 & 3 & 1 \\ 0 & 1 & 1 & -1 & 1 & 3 \end{array}\right)$
6.16.4.1.4 6 16 4 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 3 & 1 & -1 \\ 0 & 0 & 0 & 1 & 3 & 1 \\ 0 & 0 & 0 & -1 & 1 & 3 \end{array}\right)$
6.16.8.1.1 6 16 8 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & 0 & 0 & 0 \\ 0 & 1 & 3 & 1 & -1 & 1 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 0 & 2 \end{array}\right)$
6.16.8.1.2 6 16 8 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & -1 & -1 & 0 \\ 0 & 1 & 2 & 0 & 0 & 0 \\ 0 & -1 & 0 & 2 & 0 & 0 \\ 0 & -1 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 4 \end{array}\right)$
6.16.8.1.3 6 16 8 $\left(\begin{array}{rrrrrr} 2 & 1 & -1 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ -1 & 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 & 1 \\ 0 & 0 & 0 & 1 & 2 & 0 \\ 0 & 0 & 0 & 1 & 0 & 2 \end{array}\right)$
6.16.8.1.4 6 16 8 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 1 \\ 0 & 0 & 1 & 3 & 1 & 1 \\ 0 & 0 & 0 & 1 & 2 & 1 \\ 0 & 0 & 1 & 1 & 1 & 3 \end{array}\right)$
6.16.8.1.5 6 16 8 $\left(\begin{array}{rrrrrr} 2 & 1 & 1 & 1 & -1 & 0 \\ 1 & 2 & 1 & 1 & 0 & 0 \\ 1 & 1 & 2 & 1 & -1 & 0 \\ 1 & 1 & 1 & 2 & -1 & 0 \\ -1 & 0 & -1 & -1 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 4 \end{array}\right)$
6.16.16.1.1 6 16 16 $\left(\begin{array}{rrrrrr} 2 & -1 & 1 & 1 & -1 & -1 \\ -1 & 2 & -1 & -1 & 1 & 0 \\ 1 & -1 & 2 & 1 & -1 & -1 \\ 1 & -1 & 1 & 2 & -1 & -1 \\ -1 & 1 & -1 & -1 & 2 & 1 \\ -1 & 0 & -1 & -1 & 1 & 4 \end{array}\right)$
6.20.20.1.1 6 20 20 $\left(\begin{array}{rrrrrr} 2 & -1 & 1 & 1 & 0 & -1 \\ -1 & 2 & 0 & -1 & 0 & 1 \\ 1 & 0 & 2 & 1 & 0 & -1 \\ 1 & -1 & 1 & 2 & 0 & -1 \\ 0 & 0 & 0 & 0 & 2 & -1 \\ -1 & 1 & -1 & -1 & -1 & 4 \end{array}\right)$
6.23.23.1.1 6 23 23 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 0 & 0 & 1 \\ 0 & 2 & 1 & 1 & -1 & -1 \\ 0 & 1 & 2 & 0 & 0 & -1 \\ 0 & 1 & 0 & 2 & -1 & -1 \\ 0 & -1 & 0 & -1 & 2 & 1 \\ 1 & -1 & -1 & -1 & 1 & 4 \end{array}\right)$
6.27.3.1.1 6 27 3 $\left(\begin{array}{rrrrrr} 2 & 1 & 0 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 1 & 2 \end{array}\right)$
6.27.6.1.1 6 27 6 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 0 & 0 & 3 \end{array}\right)$
6.27.9.1.1 6 27 9 $\left(\begin{array}{rrrrrr} 2 & -1 & 1 & 1 & -1 & -1 \\ -1 & 2 & -1 & -1 & 0 & 0 \\ 1 & -1 & 2 & 0 & 0 & -1 \\ 1 & -1 & 0 & 2 & 0 & 0 \\ -1 & 0 & 0 & 0 & 4 & 2 \\ -1 & 0 & -1 & 0 & 2 & 4 \end{array}\right)$
6.27.9.1.2 6 27 9 $\left(\begin{array}{rrrrrr} 2 & -1 & -1 & 1 & 1 & 1 \\ -1 & 2 & 0 & 0 & 0 & -1 \\ -1 & 0 & 2 & -1 & -1 & -1 \\ 1 & 0 & -1 & 2 & 1 & 0 \\ 1 & 0 & -1 & 1 & 2 & 1 \\ 1 & -1 & -1 & 0 & 1 & 6 \end{array}\right)$
6.28.14.1.1 6 28 14 $\left(\begin{array}{rrrrrr} 2 & 1 & 0 & 0 & 0 & 1 \\ 1 & 2 & 0 & 0 & 0 & 1 \\ 0 & 0 & 2 & -1 & -1 & -1 \\ 0 & 0 & -1 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 & 2 & 0 \\ 1 & 1 & -1 & 0 & 0 & 4 \end{array}\right)$
6.32.4.1.1 6 32 4 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.32.16.1.1 6 32 16 $\left(\begin{array}{rrrrrr} 2 & 1 & 1 & 0 & 0 & -1 \\ 1 & 2 & 0 & 0 & 0 & -1 \\ 1 & 0 & 2 & 0 & 0 & -1 \\ 0 & 0 & 0 & 2 & 0 & 1 \\ 0 & 0 & 0 & 0 & 2 & -1 \\ -1 & -1 & -1 & 1 & -1 & 4 \end{array}\right)$
6.32.32.1.1 6 32 32 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & 1 & -1 & -1 \\ 0 & 1 & 2 & 1 & -1 & 0 \\ 0 & 1 & 1 & 2 & -1 & 0 \\ 0 & -1 & -1 & -1 & 2 & 0 \\ 0 & -1 & 0 & 0 & 0 & 4 \end{array}\right)$
6.32.32.1.2 6 32 32 $\left(\begin{array}{rrrrrr} 2 & 1 & 1 & 1 & -1 & -1 \\ 1 & 2 & 1 & 1 & -1 & 0 \\ 1 & 1 & 2 & 1 & 0 & -1 \\ 1 & 1 & 1 & 2 & 0 & -1 \\ -1 & -1 & 0 & 0 & 4 & 1 \\ -1 & 0 & -1 & -1 & 1 & 4 \end{array}\right)$
6.48.6.1.1 6 48 6 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 1 & 0 & 0 \\ 0 & 2 & 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 \\ 1 & 1 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 4 & 2 \\ 0 & 0 & 0 & 0 & 2 & 4 \end{array}\right)$
6.48.6.1.2 6 48 6 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & -1 & 0 & 0 \\ 0 & 2 & 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 \\ -1 & 1 & 1 & 4 & -1 & -1 \\ 0 & 0 & 0 & -1 & 2 & 0 \\ 0 & 0 & 0 & -1 & 0 & 2 \end{array}\right)$
6.48.6.1.3 6 48 6 $\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 3 & 1 & -1 & 1 & 1 \\ 0 & 1 & 3 & -1 & -1 & -1 \\ 0 & -1 & -1 & 3 & -1 & -1 \\ 0 & 1 & -1 & -1 & 3 & 1 \\ 0 & 1 & -1 & -1 & 1 & 3 \end{array}\right)$
6.48.12.1.1 6 48 12 $\left(\begin{array}{rrrrrr} 2 & 0 & 0 & 1 & 0 & 0 \\ 0 & 2 & 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 & 0 & 0 \\ 1 & 1 & 0 & 2 & 1 & 0 \\ 0 & 0 & 0 & 1 & 4 & 0 \\ 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right)$
6.48.12.1.2 6 48 12 $\left(\begin{array}{rrrrrr} 2 & -1 & 0 & 0 & 1 & 1 \\ -1 & 2 & 0 & 0 & -1 & 0 \\ 0 & 0 & 2 & -1 & 1 & 1 \\ 0 & 0 & -1 & 2 & -1 & 0 \\ 1 & -1 & 1 & -1 & 4 & 2 \\ 1 & 0 & 1 & 0 & 2 & 4 \end{array}\right)$
6.48.12.1.3 6 48 12 $\left(\begin{array}{rrrrrr} 2 & 1 & 1 & -1 & -1 & -1 \\ 1 & 2 & 1 & -1 & -1 & -1 \\ 1 & 1 & 2 & -1 & -1 & -1 \\ -1 & -1 & -1 & 2 & 1 & 1 \\ -1 & -1 & -1 & 1 & 4 & 0 \\ -1 & -1 & -1 & 1 & 0 & 4 \end{array}\right)$

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