The mesonic QCD chiral Lagrangian with external fields

2, 12, 117, 1959, 45171, 1170086, ...: A Hilbert series for the QCD chiral Lagrangian

We apply the techniques of nonlinear realizations to the enumeration of operators in the mesonic qcd chiral lagrangian with three light flavors of quarks, at chiral dimensions.The method is extendable to very high orders, and we present results up to order.