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Properties

Label 2.15.30.1.2
Class number $1$
Dimension $2$
Determinant $15$
Level $30$

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Lattice Invariants

Dimension:$2$
Determinant:$15$
Level:$30$
Density:$0.608366801396041784542944115545\dots$
Group order:$4$
Hermite number:$0.774596669241483377035853079957\dots$
Minimal vector length:$3$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q^{3} \) \(\mathstrut +\mathstrut 2 q^{5} \) \(\mathstrut +\mathstrut 4 q^{8} \) \(\mathstrut +\mathstrut 2 q^{12} \) \(\mathstrut +\mathstrut 4 q^{17} \) \(\mathstrut +\mathstrut 2 q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 3 & 0 \\ 0 & 5 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 3 & 0 \\ 0 & 5 \end{array}\right)$
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