Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(7_6) 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 + z^2
[t^(-2) + 2 + 2*t]
[[0, 0, 0, 0], 0]
(-1, 0)
✗?
✗?
✓
1 + z^2
[t^(-2) + 2 + 2*t]
[[0, 0, 0, 0], 0]
(-1, 0)
✗
✗
✓
1
[t^(-2) + t^(-1) + 2*t + t^2]
[[0, 0, 0, 0], 0]