Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 8_11 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)
✗?
✓
✗?
1
[t^-2 + t^-1 + 2*t + t^2]
[[0, 0, 0, 0], 0]
(-1,0)
✗?
✗?
✗?
1
[t^-3 + t^-2 + t + t^2 + t^3]
[[0, 0, 0, 0], 0]
(-1,0)
✗?
✗?
✓
1
[t^-2 + t^-1 + 2*t + t^2]
[[0, 0, 0, 0], 0]
(-1,0)
✗?
✗?
✓
1 + z^2
[t^-1 + 2 + 2*t]
[[0, 0, 0, 0], 0]