Generating relations of the algebra of invariants of two 4 x 4 matrices

These two files contain all the generating relations of the algebra of invariants of two 4 x 4 matrices, used in the paper "Noncommutative Poisson structure and invariants of matrices". The file relations.txt contains the 105 relations needed to generate the ideal as a polynomial ideal. The file generating_relations.txt contains the 8 relations needed to generate the ideal under the adjoint maps {a5, -} and {a6, -}.