Lattice Invariants
Dimension: | $3$ |
Determinant: | $86$ |
Level: | $172$ |
Density: | $0.451688864149515255607683422748\dots$ |
Group order: | $2$ |
Hermite number: | $0.906206502719233392317971357029\dots$ |
Minimal vector length: | $4$ |
Kissing number: | $4$ |
Normalized minimal vectors: |
|
Download this list for gp, magma, sage |
Theta Series
Gram Matrix
$\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 4 & 0 \\ 1 & 0 & 6 \end{array}\right)$
Genus Structure
Class number: | $3$ |
$\left(\begin{array}{rrr} 4 & 1 & 1 \\ 1 & 4 & 0 \\ 1 & 0 & 6 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 1 & 0 \\ 1 & 6 & -1 \\ 0 & -1 & 8 \end{array}\right)$, $\left(\begin{array}{rrr} 2 & 0 & -1 \\ 0 & 2 & 0 \\ -1 & 0 & 22 \end{array}\right)$ | |
Download this list for gp, magma, sage |
Comments
This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms.