Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 9_48 with (tb, r)= (-1, 0) :

Grid Diagram
(tb, r)
L = -L?
L = μ(L)?
L = -μ(L)?
Ruling invariant
Linearized Contact Homology
Transverse Invariant
(-1, 0)
✓
✓
✓
z^2
[t^(-1) + 2 + 2*t]
[[0, 0, 0, 0], 0]
(-1, 0)
✗?
✗?
✓
z^2
[t^(-1) + 2 + 2*t]
[[0, 0, 0, 0], 0]
(-1, 0)
✗
✗
✓
0
[]
[[0, 0, 0, 0], 0]
(-1, 0)
✓
✗?
✗?
0
[]
[[0, 0, 0, 0], 0]