Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 8_15 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 + 2*z^2 + z^4
[4 + t]
[[1, 1, 1, 1], 1]
(3,0)
✗?
✗?
✓
1 + 2*z^2 + z^4
[4 + t]
[[1, 1, 1, 1], 1]
(3,0)
✗?
✗?
✓
1
[2*t^-2 + t + 2*t^2]
[[1, 1, 1, 1], 1]
(3,0)
✗?
✗?
✓
1 + z^2
[t^-2 + 2 + t + t^2]
[[1, 1, 1, 1], 1]
(3,0)
✗?
✗?
✓
1 + z^2
[t^-2 + 2 + t + t^2]
[[1, 1, 1, 1], 1]