Lattice Invariants
| Dimension: | $3$ |
| Determinant: | $1942$ |
| Level: | $3884$ |
| Density: | $0.174622774845126712628966612466\dots$ |
| Group order: | $2$ |
| Hermite number: | $0.480914836142679965279936891545\dots$ |
| Minimal vector length: | $6$ |
| Kissing number: | $2$ |
| Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 6 & 1 & 3 \\ 1 & 18 & 3 \\ 3 & 3 & 20 \end{array}\right)$
Genus Structure
| Class number: | $56$ |
| $\left(\begin{array}{rrr} 6 & 1 & 3 \\ 1 & 18 & 3 \\ 3 & 3 & 20 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 20 & 9 \\ 1 & 9 & 54 \end{array}\right)$, $\left(\begin{array}{rrr} 12 & -3 & 5 \\ -3 & 14 & -6 \\ 5 & -6 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & -5 & -3 \\ -5 & 12 & -1 \\ -3 & -1 & 22 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 20 & -2 \\ 0 & -2 & 50 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 10 & 2 \\ 1 & 2 & 98 \end{array}\right)$, $\left(\begin{array}{rrr} 12 & -3 & -1 \\ -3 & 14 & 5 \\ -1 & 5 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 30 & -13 \\ 0 & -13 & 38 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 14 & 1 \\ 0 & 1 & 72 \end{array}\right)$ ... | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.