Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 8_1 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)
✓
✓
✓
1
[t^-5 + t + t^5]
[[0, 0, 0, 0], 0]
(-3,0)
✓
✓
✓
1
[t^-3 + t + t^3]
[[0, 0, 0, 0], 0]
(-3,0)
✓
✓
✓
1
[t^-1 + 2*t]
[[0, 0, 0, 0], 0]