Lattice Invariants
Dimension: | $6$ |
Determinant: | $16$ |
Level: | $4$ |
Density: | $0.0201863780470701954267423926218\dots$ |
Group order: | $768$ |
Hermite number: | $0.629960524947436582383605303639\dots$ |
Minimal vector length: | $1$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & -1 & 1 & 1 \\ 0 & 1 & 2 & 0 & 1 & 1 \\ 0 & -1 & 0 & 2 & -1 & -1 \\ 0 & 1 & 1 & -1 & 3 & 1 \\ 0 & 1 & 1 & -1 & 1 & 3 \end{array}\right)$
Genus Structure
Class number: | $1$ |
$\left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 1 & 1 & 1 & 1 \\ 0 & 1 & 2 & 1 & 1 & 1 \\ 0 & 1 & 1 & 2 & 0 & 0 \\ 0 & 1 & 1 & 0 & 3 & 1 \\ 0 & 1 & 1 & 0 & 1 & 3 \end{array}\right)$ | |
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