Lattice Invariants
Dimension: | $3$ |
Determinant: | $1470$ |
Level: | $2940$ |
Density: | $0.0386264635807010656852662930504\dots$ |
Group order: | $4$ |
Hermite number: | $0.175896642899793658528591029987\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
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Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 12 & 3 \\ 0 & 3 & 62 \end{array}\right)$
Genus Structure
Class number: | $10$ |
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 12 & 3 \\ 0 & 3 & 62 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & 3 & -1 \\ 3 & 12 & -3 \\ -1 & -3 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & 2 & -1 \\ 2 & 10 & 2 \\ -1 & 2 & 20 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & -1 \\ 1 & 10 & 4 \\ -1 & 4 & 80 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & -1 & 0 \\ -1 & 16 & -3 \\ 0 & -3 & 48 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & 5 & -1 \\ 5 & 10 & 1 \\ -1 & 1 & 20 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & -2 \\ 1 & 8 & -4 \\ -2 & -4 & 50 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & 4 & 4 \\ 4 & 14 & -1 \\ 4 & -1 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 20 & 5 \\ 0 & 5 & 38 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -1 & 1 \\ -1 & 14 & -4 \\ 1 & -4 & 28 \end{array}\right)$ | |
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Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.