Legendrian knot:

Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 11n24 with (tb, r) =(-4,1) :

Grid Diagram

(tb, r)

L = -L?

L = μ(L)?

L = -μ(L)?

Ruling invariant

Linearized Contact Homology

Transverse Invariant

(-4,1)

–

–

✗?

–

–

[[0, 0, 0, 0], 0]

(-4,1)

–

–

✗?

–

–

[[0, 0, 0, 0], 0]

(-4,1)

–

–

✗?

–

–

[[0, 0, 0, 0], 0]

(-4,1)

–

–

✗?

–

–

[[0, 0, 0, 0], 0]