Lattice Invariants
Dimension: | $3$ |
Determinant: | $222$ |
Level: | $444$ |
Density: | $0.0993955928850687672771220803619\dots$ |
Group order: | $8$ |
Hermite number: | $0.330302862564371523213012705188\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $4$ |
Normalized minimal vectors: |
|
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 2 & 0 \\ 1 & 0 & 56 \end{array}\right)$
Genus Structure
Class number: | $5$ |
$\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 2 & 0 \\ 1 & 0 & 56 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 8 & -1 \\ 0 & -1 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 4 & -1 \\ 0 & -1 & 32 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 6 & -3 \\ 0 & -3 & 20 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & -1 & 0 \\ -1 & 2 & 0 \\ 0 & 0 & 74 \end{array}\right)$ | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.