Code and data for Four Special Directions over Prime Fields: Structure and Complete Classification

This record contains the Python and C verification programs and supporting data for the paper Four Special Directions over Prime Fields: Structure and Complete Classification. It includes representatives of all 54 affine-equivalence classes over the primes 5, 7, 11, 13 and 17, the 27 lower-half table representatives whose complements complete the list, a finite variance-margin table, and programs for profile enumeration, orbit and stabilizer verification, and finite prime-exclusion checks for primes from 19 through 2039. The included README describes the dependencies, execution command and expected outputs. These materials reproduce the finite computer-assisted parts of the paper; the structural proofs and the analytic exclusion of larger primes are given in the article. The Python and C programs are licensed under the MIT License, and the three data files are licensed under Creative Commons Attribution 4.0 International, as specified in the included licence notices.