Lattice Invariants
Dimension: | $3$ |
Determinant: | $202$ |
Level: | $404$ |
Density: | $0.104200050893744386754018768547\dots$ |
Group order: | $12$ |
Hermite number: | $0.340862746642059164238446959867\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $6$ |
Normalized minimal vectors: |
|
Download this list for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 68 \end{array}\right)$
Genus Structure
Class number: | $8$ |
$\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 68 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & -1 \\ 1 & 8 & 0 \\ -1 & 0 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 8 & 2 \\ 0 & 2 & 14 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 2 & -3 \\ 2 & 6 & 0 \\ -3 & 0 & 8 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 1 \\ 0 & 4 & -1 \\ 1 & -1 & 26 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 6 & 2 \\ -1 & 2 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 4 & -1 \\ 1 & -1 & 30 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 1 \\ 1 & 6 & 3 \\ 1 & 3 & 20 \end{array}\right)$ | |
Download this list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.