Replication Data for: KLPT2: Algebraic Pathfinding in Dimension Two and Applications

In this paper we develop an algorithm for algebraic pathfinding in the (l,l)-isogeny graph of superspecial principally polarized abelian surfaces. It can be viewed as a two-dimensional analog of the KLPT algorithm from 2014 due to Kohel et al. The dataset contains a proof-of-concept implementation of this algorithm along with three predefined examples, confirming that the method works in practice for real-world parameter sizes. The implementation was written in the free and open-source software package SageMath, allowing it to be run and verified broadly.