Integral lattice 2.25.50.1.2

• Label: 2.25.50.1.2
• Class number: $1$
• Dimension: $2$
• Determinant: $25$
• Level: $50$

Lattice Invariants

Dimension:

$2$

Determinant:

$25$

Level:

$50$

Density:

$0.314159265358979323846264338328\dots$

Group order:

$4$

Hermite number:

$0.400000000000000000000000000000\dots$

Minimal vector length:

$2$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rr} 2 & -1 \\ -1 & 13 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 2 & 1 \\ 1 & 13 \end{array}\right)$
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