Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(10_166) 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
[2*t^-2 + t^-1 + 2*t + 2*t^2]
[[1, 1, 1, 1], 1]
(1,0)
✗?
✗?
✗?
1
[2*t^-2 + t^-1 + 2*t + 2*t^2]
[[1, 1, 1, 1], 1]
(1,0)
✗?
✗?
✓
1 + 2*z^2
[t^-1 + 4 + 2*t, 2 + t]
[[1, 1, 1, 1], 1]
(1,0)
✗?
✗?
✗?
1 + 2*z^2
[t^-1 + 4 + 2*t, 2 + t]
[[1, 1, 1, 1], 1]
(1,0)
✗?
✗?
✗?
1 + 2*z^2
[t^-1 + 4 + 2*t, 2 + t]
[[1, 1, 1, 1], 1]
(1,0)
✗?
✗?
✗?
1 + z^2
[2 + t, t^-2 + t^-1 + 2 + 2*t + t^2]
[[1, 1, 1, 1], 1]