Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 10_128 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)
✓
✗?
✗?
2 + z^2
[2*t^(-2) + 2 + t + 2*t^2]
[[1, 1, 1, 1], 1]
(5, 0)
✗?
✓
✗?
2 + 6*z^2 + 5*z^4 + z^6
[6 + t]
[[1, 1, 1, 1], 1]