Lattice Invariants
Dimension: | $3$ |
Determinant: | $614$ |
Level: | $1228$ |
Density: | $0.0597667210798695915945394384638\dots$ |
Group order: | $4$ |
Hermite number: | $0.235310083862595860087820501968\dots$ |
Minimal vector length: | $2$ |
Kissing number: | $2$ |
Normalized minimal vectors: |
|
Download this vector for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 4 & 1 \\ 0 & 1 & 88 \end{array}\right)$
Genus Structure
Class number: | $16$ |
$\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 4 & 1 \\ 0 & 1 & 88 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 0 & -1 \\ 0 & 10 & 2 \\ -1 & 2 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & -1 \\ 1 & 10 & 0 \\ -1 & 0 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & -4 & 1 \\ -4 & 10 & -2 \\ 1 & -2 & 10 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 2 & 1 \\ 2 & 10 & 3 \\ 1 & 3 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 0 & 1 \\ 0 & 6 & -1 \\ 1 & -1 & 26 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & 2 \\ 1 & 10 & -3 \\ 2 & -3 & 18 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & 0 & -1 \\ 0 & 10 & 4 \\ -1 & 4 & 12 \end{array}\right)$, $\left(\begin{array}{rrr} 8 & -3 & -2 \\ -3 & 10 & -2 \\ -2 & -2 & 10 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & -1 & 0 \\ -1 & 6 & -1 \\ 0 & -1 & 56 \end{array}\right)$, $\left(\begin{array}{rrr} 4 & 1 & -1 \\ 1 & 4 & -2 \\ -1 & -2 & 42 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 2 & -1 \\ 0 & -1 & 154 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 10 & -4 \\ 0 & -4 & 34 \end{array}\right)$, $\left(\begin{array}{rrr} 6 & -2 & -3 \\ -2 & 8 & 3 \\ -3 & 3 & 16 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & 0 \\ 0 & 14 & -1 \\ 0 & -1 & 22 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 8 & -3 \\ -1 & -3 & 40 \end{array}\right)$ | |
Download this list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.