Hyperbolicity of 3-trip Lorenz knots

Using Xu's conjugacy algorithm on the braid group B3B3[6] and [31] and the hyperbolicity criterion of 3-braid links by Futer–Kalfagianni–Purcell [14], we classify Lorenz knots of trip number 3 into torus knots and hyperbolic knots.Moreover, we provide another approach to this problem. Modulo a conjectural pseudo-Anosov criterion, we can also classify Lorenz knots of trip number 3 based upon the Dehornoy floor theory. The author believes that the second approach is promising for the hyperbolicity of more classes of Lorenz knots.