Legendrian knot:8_4_(-7,2)

Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 8_4 with (tb, r) =(-7,2) :

Grid Diagram

(tb, r)

L = -L?

L = μ(L)?

L = -μ(L)?

Ruling invariant

Linearized Contact Homology

Transverse Invariant

(-7,2)

–

–

✓

–

–

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

(-7,2)

–

–

✓

–

–

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

(-7,2)

–

–

✓

–

–

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

(-7,2)

–

–

✓

–

–

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

(-7,2)

–

–

✓

–

–

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