Lattice Invariants
Dimension: | $3$ |
Determinant: | $764$ |
Level: | $1528$ |
Density: | $0.0535792878056395732897633482896\dots$ |
Group order: | $16$ |
Hermite number: | $0.218775596249763033904655964822\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $4$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 2 & 1 \\ 1 & 1 & 192 \end{array}\right)$
Genus Structure
Class number: | $20$ |
$\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 2 & 1 \\ 1 & 1 & 192 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -2 & -2 \\ -2 & 10 & -3 \\ -2 & -3 & 24 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & -1 & -2 \\ -1 & 10 & -4 \\ -2 & -4 & 12 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 2 & -2 \\ 2 & 14 & 1 \\ -2 & 1 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -1 & 1 \\ -1 & 4 & -2 \\ 1 & -2 & 52 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 0 & 0 \\ 0 & 12 & 1 \\ 0 & 1 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -1 & 1 \\ -1 & 10 & 1 \\ 1 & 1 & 20 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -2 & 0 \\ -2 & 16 & -7 \\ 0 & -7 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 6 & 2 \\ 1 & 2 & 34 \end{array}\right)$ ... | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.