Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(7_5) 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)
✓
✓
✓
2 + z^2
[t^(-2) + 2 + t + t^2]
[[1, 1, 1, 1], 1]
(3, 0)
✓
✓
✓
2 + 3*z^2 + z^4
[4 + t]
[[1, 1, 1, 1], 1]