Lattice Invariants
Dimension: | $4$ |
Determinant: | $16$ |
Level: | $8$ |
Density: | $0.308425137534042456838577843746\dots$ |
Group order: | $96$ |
Hermite number: | $1.00000000000000000000000000000\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $12$ |
Normalized minimal vectors: |
$(1, -1, 0, 0)$, $(1, -1, 1, 0)$, $(1, 0, 0, 0)$, $(1, 0, 1, 0)$, $(0, 1, 0, 0)$, $(0, 0, 1, 0)$
|
| Download this list for
gp,
magma,
sage |
$\left(\begin{array}{rrrr}
2 & 1 & -1 & 0 \\
1 & 2 & 0 & 0 \\
-1 & 0 & 2 & 0 \\
0 & 0 & 0 & 4
\end{array}\right)$