Lattice Invariants
Dimension: | $6$ |
Determinant: | $27$ |
Level: | $9$ |
Density: | $0.124315848527354979854492519560\dots$ |
Group order: | $2304$ |
Hermite number: | $1.15470053837925152901829756100\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $24$ |
Normalized minimal vectors: |
|
Download the complete list for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrrrrr} 2 & -1 & 1 & 1 & -1 & -1 \\ -1 & 2 & -1 & -1 & 0 & 0 \\ 1 & -1 & 2 & 0 & 0 & -1 \\ 1 & -1 & 0 & 2 & 0 & 0 \\ -1 & 0 & 0 & 0 & 4 & 2 \\ -1 & 0 & -1 & 0 & 2 & 4 \end{array}\right)$
Genus Structure
Class number: | $1$ |
$\left(\begin{array}{rrrrrr} 2 & -1 & 1 & -1 & 1 & 1 \\ -1 & 2 & -1 & 1 & -1 & -1 \\ 1 & -1 & 2 & 0 & 1 & 0 \\ -1 & 1 & 0 & 2 & 0 & -1 \\ 1 & -1 & 1 & 0 & 4 & 2 \\ 1 & -1 & 0 & -1 & 2 & 4 \end{array}\right)$ | |
Download this matrix for gp, magma, sage |