Here are some accompanying Maple sessions. First, a program that determines whether the orbit of a 2D model is finite (Section 3.2). Then, some files and sessions related to Section 8: the list of the 12883 non-Hadamard models, determination of the corresponding excursion exponent, and finally the asymptotic calculations of Section 9.
The main accompanying Maple session is this one. It points to four other sessions, for the calculation of invariants, of decoupling functions, for proving that no such function exists, and solving the algebraic models.
The accompanying Maple session.
Supplementary material available on Manuel Kauers' webpage.
Another (much bigger) multi-directed animal, generated by Axel Bacher following the algorithm described in his paper Directed and multi-directed animals on the king's lattice.