Properties

Label 3.25920.360.1.1
Class number $1$
Dimension $3$
Determinant $25920$
Level $360$

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Lattice Invariants

Dimension:$3$
Determinant:$25920$
Level:$360$
Density:$0.358734278911483156823682703447\dots$
Group order:$4$
Hermite number:$0.777170254989934468070356860821\dots$
Minimal vector length:$23$
Kissing number:$2$
Normalized minimal vectors: $(1, 0, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rrr} 23 & 4 & 2 \\ 4 & 32 & 16 \\ 2 & 16 & 44 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rrr} 23 & 4 & 2 \\ 4 & 32 & 16 \\ 2 & 16 & 44 \end{array}\right)$
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