Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(8_8) 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]
(-4,1)
–
–
✓
–
–
[[0, 0, 0, 0], 0]