Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(9_45) 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)
✗?
✗?
✗?
2 + 2*z^2
[2 + t, t^(-1) + 4 + 2*t]
[[1, 1, 1, 1], 1]
(1, 0)
✓
✗
✗
2 + z^2
[2 + t, t^(-2) + t^(-1) + 2 + 2*t + t^2]
[[1, 1, 1, 1], 1]