Legendrian Knot Atlas

Here are the Legendrian knots representing knot type m(12n403) 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 + 3*z^2 + z^4
[2*t^-1 + 4 + 3*t]
[[0, 0, 0, 0], 0]
(-1,0)
✗?
✗?
✗?
1 + 3*z^2 + z^4
[2*t^-1 + 4 + 3*t]
[[0, 0, 0, 0], 0]
(-1,0)
✗?
✗?
✓
1
[2*t^-2 + 2*t^-1 + 3*t + 2*t^2]
[[0, 0, 0, 0], 0]
(-1,0)
✗?
✗?
✓
1
[2*t^-2 + 2*t^-1 + 3*t + 2*t^2]
[[0, 0, 0, 0], 0]