This research has been supported by FWO-Vlaanderen project G012222N and by Vrije Universiteit Brussel through the Strategic Research Program High-Energy Physics. OE has been supported by by Thailand NSRF via PMU-B (grant numbers B01F650006 and B05F650021). MDC is partially supported by the Simons Foundation Award number 620869 and by STFC consolidated grant ST/T000694/1. The resources and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by the Research Foundation - Flanders (FWO) and the Flemish Government. In addition to the LLL algorithm implementation https://doi.org/10.24433/CO.202e28d6-2e90-4274-9dca-56ab853d2082 we have used the partition generator https://www.mathworks.com/matlabcentral/fileexchange/36437-integer-partition-generator and the function https://www.mathworks.com/matlabcentral/fileexchange/72552-uniqueperms. MATLAB functions to construct spin chain Hamiltonians are based in part on code written by Djunes Janssens. For License information see our README.txt file.

{"references": ["Shanxiang Lyu, Cong Ling (2017) Boosted\u00a0Korkine-Zolotarev (KZ) and Lenstra\u2013Lenstra\u2013Lov\u00e1sz (LLL)\u00a0algorithms [Source Code]. https://doi.org/10.24433/CO.202e28d6-2e90-4274-9dca-56ab853d2082", "David Holdaway (2022). Integer partition generator (https://www.mathworks.com/matlabcentral/fileexchange/36437-integer-partition-generator), MATLAB Central File Exchange. Retrieved March 8, 2022.", "Jos (10584) (2023). uniqueperms (https://www.mathworks.com/matlabcentral/fileexchange/72552-uniqueperms), MATLAB Central File Exchange. Retrieved April 28, 2023.", "Bachelor project of Djunes Janssens, `Chaos in the quantum Ising model with external parallel and transverse magnetic fields,' Vrije Universiteit Brussel, 2018."]}

We provide the code and data to reproduce the numerical results presented in the paper https://arxiv.org/abs/2305.00037.