Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 10_134 with (tb, r) =(5,0) :

Grid Diagram
(tb, r)
L = -L?
L = μ(L)?
L = -μ(L)?
Ruling invariant
Linearized Contact Homology
Transverse Invariant
(5,0)
✗?
✗?
✓
3 + 7*z^2 + 5*z^4 + z^6
[6 + t]
[[1, 1, 1, 1], 1]
(5,0)
✓
✓
✓
3 + 7*z^2 + 5*z^4 + z^6
[6 + t]
[[1, 1, 1, 1], 1]
(5,0)
✗?
✗?
✓
3 + 4*z^2 + z^4
[t^-2 + 4 + t + t^2]
[[1, 1, 1, 1], 1]
(5,0)
✗?
✗?
✓
3 + 4*z^2 + z^4
[t^-2 + 4 + t + t^2]
[[1, 1, 1, 1], 1]