Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(7_2) 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
[t^(-4) + t + t^4]
[[1, 1, 1, 1], 1]
(1, 0)
✓
✓
✓
1 + z^2
[2 + t]
[[1, 1, 1, 1], 1]
(1, 0)
✗
✗
✓
1
[t^(-2) + t + t^2]
[[1, 1, 1, 1], 1]
(1, 0)
✓
✓
✓
1 + z^2
[2 + t]
[[1, 1, 1, 1], 1]