Lattice Invariants
Dimension: | $3$ |
Determinant: | $1658$ |
Level: | $3316$ |
Density: | $0.0363706742913891381440696254686\dots$ |
Group order: | $4$ |
Hermite number: | $0.168979940786991289807772998441\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
|
Download this vector for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 10 & 2 \\ 1 & 2 & 88 \end{array}\right)$
Genus Structure
Class number: | $40$ |
$\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 10 & 2 \\ 1 & 2 & 88 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & -3 & 3 \\ -3 & 12 & 4 \\ 3 & 4 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & -4 & -1 \\ -4 & 14 & 6 \\ -1 & 6 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & -3 & 5 \\ -3 & 12 & -4 \\ 5 & -4 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 0 & -1 \\ 0 & 16 & -3 \\ -1 & -3 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & 0 & 3 \\ 0 & 14 & 1 \\ 3 & 1 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 10 & 0 & -1 \\ 0 & 12 & -5 \\ -1 & -5 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 0 & 2 \\ 0 & 16 & 1 \\ 2 & 1 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & 1 & -3 \\ 1 & 16 & 5 \\ -3 & 5 & 16 \end{array}\right)$ ... | |
Download the complete list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.