lo-Graph Atlas EN JA

Trefoil

Knot · torus knot

object:K/trefoil

Trefoil diagram
Diagram artifactTrefoil
Area
Area 2 · Knots and links
True vertices
—
π₁
—
H₁
—
Diagram
Topology.jl · virtual-link examples, figure 2
Presentation

Diagram artifact

Canonical Gauss code not published for this object.

Presentation
Diagram artifact
Fundamental group

π₁ presentation, unreduced

No presentation published for this object.

Invariants

Invariants

π₁Unreduced presentation from the raw edge data Uncomputed
H₁Abelianisation of the presentation Not applicable
MST · F_p[x]/(xᵖ)MST invariant over the truncated polynomial algebra Not applicable
MST · U_q(sl₂)MST invariant over the quantum group Not applicable
KuperbergKuperberg invariant Uncomputed
Source
Diagram
Topology.jl · virtual-link examples, figure 2
Computation
—
Naming

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