Lattice Invariants
Dimension: | $3$ |
Determinant: | $1766$ |
Level: | $3532$ |
Density: | $0.0996766101065329844656026261841\dots$ |
Group order: | $2$ |
Hermite number: | $0.330925137702628469768803942881\dots$ |
Minimal vector length: | $4$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 14 & 5 \\ 1 & 5 & 34 \end{array}\right)$
Genus Structure
Class number: | $40$ |
$\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 14 & 5 \\ 1 & 5 & 34 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & 2 \\ 1 & 8 & 1 \\ 2 & 1 & 58 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & -1 & -3 \\ -1 & 16 & -5 \\ -3 & -5 & 22 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & -1 \\ 1 & 4 & 0 \\ -1 & 0 & 118 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & -1 & 2 \\ -1 & 12 & 2 \\ 2 & 2 & 26 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & -4 & 1 \\ -4 & 10 & -2 \\ 1 & -2 & 28 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 0 & -1 \\ 0 & 10 & 4 \\ -1 & 4 & 46 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & -4 & -2 \\ -4 & 10 & 3 \\ -2 & 3 & 22 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 0 & -1 \\ 0 & 22 & 9 \\ -1 & 9 & 24 \end{array}\right)$ ... | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.