Lattice Invariants
Dimension: | $3$ |
Determinant: | $718$ |
Level: | $1436$ |
Density: | $0.0552689728759604478015881879114\dots$ |
Group order: | $4$ |
Hermite number: | $0.223351315251244561612737765092\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 16 & 5 \\ 0 & 5 & 24 \end{array}\right)$
Genus Structure
Class number: | $25$ |
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 16 & 5 \\ 0 & 5 & 24 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 16 & 7 \\ -1 & 7 & 26 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 20 & -9 \\ 0 & -9 & 22 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 12 & 1 \\ 0 & 1 & 30 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 18 & 8 \\ 1 & 8 & 24 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 10 & 4 \\ -1 & 4 & 38 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 2 & 1 \\ 2 & 8 & -3 \\ 1 & -3 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 8 & -3 \\ 0 & -3 & 46 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 12 & 5 \\ 0 & 5 & 32 \end{array}\right)$ ... | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.