Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 8_9 = m(8_9) with (tb, r) =(-5,2) :

Grid Diagram
(tb, r)
L = -L?
L = μ(L)?
L = -μ(L)?
Ruling invariant
Linearized Contact Homology
Transverse Invariant
(-5,2)
–
–
✓
–
–
[[0, 0, 0, 0], 0]
(-5,2)
–
–
✓
–
–
[[0, 0, 0, 0], 0]
(-5,2)
–
–
✓
–
–
[[0, 0, 0, 0], 0]
(-5,2)
–
–
✓
–
–
[[0, 0, 0, 0], 0]