Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 10_136 with (tb, r)= (-3, 0) :

Grid Diagram
(tb, r)
L = -L?
L = μ(L)?
L = -μ(L)?
Ruling invariant
Linearized Contact Homology
Transverse Invariant
(-3, 0)
✗
✗
✓
1
[t^(-2) + 2*t^(-1) + 3*t + t^2]
[[0, 0, 0, 0], 0]
(-3, 0)
✓
✓
✓
1
[t^(-2) + 2*t^(-1) + 3*t + t^2]
[[0, 0, 0, 0], 0]
(-3, 0)
✓
✗?
✗?
1 + z^2
[2*t^(-1) + 2 + 3*t]
[[0, 0, 0, 0], 0]
(-3, 0)
✓
✗?
✗?
1 + z^2
[2*t^(-1) + 2 + 3*t]
[[0, 0, 0, 0], 0]