Lattice Invariants
Dimension: | $3$ |
Determinant: | $1942$ |
Level: | $3884$ |
Density: | $0.0336061686878244393520452261061\dots$ |
Group order: | $4$ |
Hermite number: | $0.160304945380893321759978963848\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 30 & 13 \\ 0 & 13 & 38 \end{array}\right)$
Genus Structure
Class number: | $56$ |
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 30 & 13 \\ 0 & 13 & 38 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 30 & -7 \\ 0 & -7 & 34 \end{array}\right)$, $\left(\begin{array}{rrr} 12 & -3 & -5 \\ -3 & 14 & 6 \\ -5 & 6 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 26 & -11 \\ 0 & -11 & 42 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -2 & -1 \\ -2 & 18 & 5 \\ -1 & 5 & 30 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 14 & -3 \\ 0 & -3 & 70 \end{array}\right)$, $\left(\begin{array}{rrr} 12 & -3 & -1 \\ -3 & 14 & 5 \\ -1 & 5 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 14 & 1 \\ 0 & 1 & 72 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & -1 & -3 \\ -1 & 18 & 3 \\ -3 & 3 & 20 \end{array}\right)$ ... | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.