L(3,1)
Closed 3-manifold · lens spaceobject:M/lens-3-1
- Area
- Area 3 · Closed 3-manifolds
- True vertices
- 3
- π₁
- —
- H₁
- ℤ/3ℤ
- Diagram
- Topology.jl · virtual-link examples, figure 11
Closed normal o-graph
gauss code · source presentation[[[1,-2,3,-4,5,-5,4,-3,2,-1]],[+,0,+,0,+]]- True vertices
- 3
- Crossings
- 5
- of which real
- 3
π₁ presentation, unreduced
No presentation published for this object.
H₁ = ℤ/3ℤ
- Free rank
- 0
- Torsion invariant factors
- 3
- Order
- 3
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 |
- Diagram
- Topology.jl · virtual-link examples, figure 11
- Computation
- Recomputation, 4 September 2026 · L(3,1)
Naming
Labels name the example. No independent identification of the object is claimed.