Integral lattice 3.28224.168.1.1

• Label: 3.28224.168.1.1
• Class number: $1$
• Dimension: $3$
• Determinant: $28224$
• Level: $168$

Lattice Invariants

Dimension:

$3$

Determinant:

$28224$

Level:

$168$

Density:

$0.113704687338330788996017619246\dots$

Group order:

$4$

Hermite number:

$0.361287689764194373382425026094\dots$

Minimal vector length:

$11$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rrr} 11 & 4 & 2 \\ 4 & 32 & 16 \\ 2 & 16 & 92 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rrr} 11 & 4 & 2 \\ 4 & 32 & 16 \\ 2 & 16 & 92 \end{array}\right)$
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