Lattice Invariants
Dimension: | $3$ |
Determinant: | $208$ |
Level: | $416$ |
Density: | $0.102686168233423677485465537571\dots$ |
Group order: | $4$ |
Hermite number: | $0.337553190589581834018929384547\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
|
Download this vector for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 8 & 1 \\ 0 & 1 & 14 \end{array}\right)$
Genus Structure
Class number: | $5$ |
$\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 8 & 1 \\ 0 & 1 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 8 & 4 \\ 1 & 4 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -2 & -1 \\ -2 & 8 & -1 \\ -1 & -1 & 8 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 4 & 1 \\ 0 & 1 & 30 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 2 & 3 \\ 2 & 6 & 1 \\ 3 & 1 & 8 \end{array}\right)$ | |
Download this list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.