Lattice Invariants
Dimension: | $3$ |
Determinant: | $734$ |
Level: | $1468$ |
Density: | $0.154611067718942105264172322161\dots$ |
Group order: | $2$ |
Hermite number: | $0.443432960646444247467150732887\dots$ |
Minimal vector length: | $4$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
|
Download this vector for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 8 & 1 \\ 1 & 1 & 24 \end{array}\right)$
Genus Structure
Class number: | $20$ |
$\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 8 & 1 \\ 1 & 1 & 24 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 3 & -1 \\ 3 & 10 & -4 \\ -1 & -4 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & -2 & 1 \\ -2 & 10 & -4 \\ 1 & -4 & 22 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & 2 \\ 1 & 6 & 3 \\ 2 & 3 & 34 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 12 & -1 \\ 1 & -1 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 8 & -1 \\ 0 & -1 & 46 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 14 & 6 \\ 1 & 6 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 2 & 0 \\ -1 & 0 & 184 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 0 & 1 \\ 0 & 10 & -4 \\ 1 & -4 & 14 \end{array}\right)$ ... | |
Download the complete list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.