Lattice Invariants
Dimension: | $7$ |
Determinant: | $576$ |
Level: | $18$ |
Density: | $0.0719255980765410954872421006028\dots$ |
Group order: | $7680$ |
Hermite number: | $1.20997162457437471435521937652\dots$ |
Minimal vector length: | $3$ |
Kissing number: | $20$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrrrrrr} 3 & 1 & -1 & 1 & -1 & -1 & 1 \\ 1 & 3 & -1 & -1 & -1 & -1 & -1 \\ -1 & -1 & 3 & -1 & 1 & 1 & 1 \\ 1 & -1 & -1 & 3 & -1 & -1 & 1 \\ -1 & -1 & 1 & -1 & 3 & 1 & -1 \\ -1 & -1 & 1 & -1 & 1 & 3 & 1 \\ 1 & -1 & 1 & 1 & -1 & 1 & 7 \end{array}\right)$
Genus Structure
Class number: | $1$ |
$\left(\begin{array}{rrrrrrr} 3 & -1 & 1 & -1 & 1 & -1 & 1 \\ -1 & 3 & -1 & 1 & -1 & -1 & -1 \\ 1 & -1 & 3 & -1 & 1 & -1 & -1 \\ -1 & 1 & -1 & 3 & -1 & 1 & 1 \\ 1 & -1 & 1 & -1 & 3 & -1 & 1 \\ -1 & -1 & -1 & 1 & -1 & 3 & 1 \\ 1 & -1 & -1 & 1 & 1 & 1 & 7 \end{array}\right)$ | |
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