Lattice Invariants
Dimension: | $3$ |
Determinant: | $542$ |
Level: | $1084$ |
Density: | $0.0636127209780350405592063340667\dots$ |
Group order: | $4$ |
Hermite number: | $0.245299633963062812512725209645\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
|
Download this vector for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 16 & 7 \\ 0 & 7 & 20 \end{array}\right)$
Genus Structure
Class number: | $17$ |
$\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 16 & 7 \\ 0 & 7 & 20 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 16 & 3 \\ -1 & 3 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 2 & -1 \\ 2 & 8 & 3 \\ -1 & 3 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & -1 \\ 1 & 16 & 0 \\ -1 & 0 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 10 & 2 \\ -1 & 2 & 28 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -2 & -1 \\ -2 & 10 & -2 \\ -1 & -2 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & -1 \\ 1 & 10 & 4 \\ -1 & 4 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 10 & 3 \\ 0 & 3 & 28 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 2 & 0 \\ 1 & 0 & 136 \end{array}\right)$ ... | |
Download the complete list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.