lo-Graph Atlas EN JA

L(3,2)

Closed 3-manifold · lens space

object:M/lens-3-2

L(3,2) diagram
Closed normal o-graphL(3,2)
Area
Area 3 · Closed 3-manifolds
True vertices
3
π₁
—
H₁
ℤ/3ℤ
Diagram
Topology.jl · virtual-link examples, figure 12
Presentation

Closed normal o-graph

gauss code · source presentation[[[-3,-1,-2,1,2,3]],[+,+,+]]
True vertices
3
Fundamental group

π₁ presentation, unreduced

No presentation published for this object.

Homology

H₁ = ℤ/3ℤ

Free rank
0
Torsion invariant factors
3
Order
3
Invariants

Invariants

π₁Unreduced presentation from the raw edge data Uncomputed
H₁Abelianisation of the presentation Computed
MST · F_p[x]/(xᵖ)MST invariant over the truncated polynomial algebra Uncomputed
MST · U_q(sl₂)MST invariant over the quantum group Uncomputed
KuperbergKuperberg invariant Uncomputed
Source
Diagram
Topology.jl · virtual-link examples, figure 12
Computation
Recomputation, 4 September 2026 · L(3,2)
Naming

Labels name the example. No independent identification of the object is claimed.