Legendrian Knot Atlas

List of (tb, r) for non-destabilizable Legendrian knots representing knot type 7_1:

(tb, r)
number of Legendrian knots
(tb, r)
number of Legendrian knots
(-14, -1)
1 (1 black dot)
(-14, 1)
1 (1 black dot)
(-14, -3)
1 (1 black dot)
(-14, 3)
1 (1 black dot)
(-14, -5)
1 (1 black dot)
(-14, 5)
1 (1 black dot)
Mountain Range:
Note that this 7_1 knot is T(2, -7), which has a complete legendrian classification.
Click here to see the non-destabilizable Legendrian knots representing knot type 7_1 with (tb, r) = (-14, 5).
Click here to see the non-destabilizable Legendrian knots representing knot type 7_1 with (tb, r) = (-14, 3).
Click here to see the non-destabilizable Legendrian knots representing knot type 7_1 with (tb, r) = (-14, 1).