Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 7_4 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)
✓
✓
✓
0
[]
[[1, 1, 1, 1], 1]
(1, 0)
✓
✓
✓
0
[]
[[1, 1, 1, 1], 1]
(1, 0)
✓
✗
✗
0
[]
[[1, 1, 1, 1], 1]
(1, 0)
✓
✓
✓
z^2
[2 + t]
[[1, 1, 1, 1], 1]