Lattice Invariants
Dimension: | $4$ |
Determinant: | $8$ |
Level: | $8$ |
Density: | $0.436179012477429970884847558510\dots$ |
Group order: | $96$ |
Hermite number: | $1.18920711500272106671749997056\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $14$ |
Normalized minimal vectors: |
$(1, 0, 0, 0)$, $(0, 1, -1, 0)$, $(0, 1, -1, 1)$, $(0, 1, 0, 0)$, $(0, 1, 0, 1)$, $(0, 0, 1, 0)$, $(0, 0, 0, 1)$
|
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gp,
magma,
sage |
$\left(\begin{array}{rrrr}
2 & 0 & 0 & 0 \\
0 & 2 & 1 & -1 \\
0 & 1 & 2 & 0 \\
0 & -1 & 0 & 2
\end{array}\right)$