Lattice Invariants
Dimension: | $5$ |
Determinant: | $30$ |
Level: | $60$ |
Density: | $0.169888059906997834628413642324\dots$ |
Group order: | $96$ |
Hermite number: | $1.01299136822423638999946958326\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $12$ |
Normalized minimal vectors: |
$(1, -1, -1, 0, 0)$, $(1, -1, 0, 0, 0)$, $(1, 0, -1, 0, 0)$, $(1, 0, 0, 0, 0)$, $(0, 1, 0, 0, 0)$, $(0, 0, 1, 0, 0)$
|
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$\left(\begin{array}{rrrrr}
2 & 1 & 1 & 0 & 0 \\
1 & 2 & 0 & 1 & 0 \\
1 & 0 & 2 & 0 & 1 \\
0 & 1 & 0 & 4 & 2 \\
0 & 0 & 1 & 2 & 4
\end{array}\right)$
Class number: | $1$ |
|
Genus representatives:
$\left(\begin{array}{rrrrr}
2 & 1 & 1 & 1 & -1 \\
1 & 2 & 0 & 1 & -1 \\
1 & 0 & 2 & 1 & 0 \\
1 & 1 & 1 & 4 & -2 \\
-1 & -1 & 0 & -2 & 4
\end{array}\right)$ |
| Download this matrix for
gp,
magma,
sage |