Lattice Invariants
Dimension: | $5$ |
Determinant: | $4$ |
Level: | $8$ |
Density: | $0.0822467033424113218236207583323\dots$ |
Group order: | $768$ |
Hermite number: | $0.757858283255199041173629900653\dots$ |
Minimal vector length: | $1$ |
Kissing number: | $8$ |
Normalized minimal vectors: |
$(1, 0, 0, 0, 0)$, $(0, 1, 0, 0, 0)$, $(0, 0, 1, 0, 0)$, $(0, 0, 0, 1, 0)$
|
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gp,
magma,
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$\left(\begin{array}{rrrrr}
1 & 0 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 & 0 \\
0 & 0 & 1 & 0 & 0 \\
0 & 0 & 0 & 1 & 0 \\
0 & 0 & 0 & 0 & 4
\end{array}\right)$
Class number: | $1$ |
|
Genus representatives:
$\left(\begin{array}{rrrrr}
1 & 0 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 & 0 \\
0 & 0 & 1 & 0 & 0 \\
0 & 0 & 0 & 1 & 0 \\
0 & 0 & 0 & 0 & 4
\end{array}\right)$ |
| Download this matrix for
gp,
magma,
sage |