Properties

Name A1
Label 1.2.4.1.1
Class number 1
Dimension 1
Determinant 2
Level 4

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Lattice Invariants

Dimension:$1$
Determinant:$2$
Level:$4$
Label:$1.2.4.1.1$
Density:$1.00000000000000000000000000000\dots$
Group order:$2$
Hermite number:$1.00000000000000000000000000000\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{2} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 2q^{18} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{r} 2 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $(2)$
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Comments

This integral lattice is the A1 lattice.

This is a root lattice.