Properties

Label 2.16.32.1.2
Class number 1
Dimension 2
Determinant 16
Level 32

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Lattice Invariants

Dimension:$2$
Determinant:$16$
Level:$32$
Label:$2.16.32.1.2$
Density:$0.785398163397448309615660845820\dots$
Group order:$4$
Hermite number:$1.00000000000000000000000000000\dots$
Minimal vector length:$4$
Kissing number:$2$
Normalized minimal vectors: $(0, 1)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 4q^{5} \) \(\mathstrut +\mathstrut 4q^{13} \) \(\mathstrut +\mathstrut 4q^{16} \) \(\mathstrut +\mathstrut 4q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 5 & 2 \\ 2 & 4 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 4 & 2 \\ 2 & 5 \end{array}\right)$
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