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Properties

Label 2.17.34.1.1
Class number $1$
Dimension $2$
Determinant $17$
Level $34$

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Lattice Invariants

Dimension:$2$
Determinant:$17$
Level:$34$
Density:$0.571461103385964299551035219157\dots$
Group order:$2$
Hermite number:$0.727606875108998920556719386349\dots$
Minimal vector length:$3$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q^{3} \) \(\mathstrut +\mathstrut 2 q^{6} \) \(\mathstrut +\mathstrut 2 q^{7} \) \(\mathstrut +\mathstrut 2 q^{11} \) \(\mathstrut +\mathstrut 2 q^{12} \) \(\mathstrut +\mathstrut 2 q^{14} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 3 & 1 \\ 1 & 6 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 3 & 1 \\ 1 & 6 \end{array}\right)$
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