Properties

Label 3.21168.2016.1.1
Class number $1$
Dimension $3$
Determinant $21168$
Level $2016$

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Lattice Invariants

Dimension:$3$
Determinant:$21168$
Level:$2016$
Density:$0.113804309713203897655489023954\dots$
Group order:$2$
Hermite number:$0.361498687128055061835810664107\dots$
Minimal vector length:$10$
Kissing number:$2$
Normalized minimal vectors: $(1, 0, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q^{10} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rrr} 10 & -2 & 3 \\ -2 & 34 & -9 \\ 3 & -9 & 66 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rrr} 10 & -2 & 3 \\ -2 & 34 & -9 \\ 3 & -9 & 66 \end{array}\right)$
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