Source and verification code for the paper Dense Algebraic Loci of Hodge Classes

The REVTeX source, figures and compiled PDF of the paper Dense Algebraic Loci of Hodge Classes, the Lean 4 certificate lean/HodgeClosure.lean (forty-seven theorems, forty-five axiom-free and two on propext and Quot.sound), and the Python, Julia, C, C++ and shell programs that recompute every finite quantity used in the proofs (code/run_all.sh). The paper proves that the Hodge conjecture is equivalent to two statements about abelian varieties, that for each the known locus is dense and either everything or meagre, proves the real multiplications by sqrt 5, sqrt 6, sqrt 7 and by the cubic fields Q(zeta_7)^+ and Q(zeta_9)^+ algebraic on explicit families of K3 surfaces, and builds the first object each statement needs; neither statement is proved and the conjecture is not claimed. The folder preprintHodgeConjecture holds the compiled paper only.