RingMaker
The content on this page was written by AI under human supervision.
RingMaker, the builder of the constant ring, is no longer a separate tool; it is now part of Lockpick. An integer-relation search such as PSLQ can only recognize a number as a combination of constants it has been given; the constant ring is that list, each entry evaluated to high precision. It holds powers of $\pi$, logarithms, zeta values, Dirichlet $L$-values, Chowla–Selberg periods (products of gamma-function values attached to an imaginary quadratic field) and $L$-values of modular forms. Inside Lockpick the Python module lockpick.ring15 builds this ring for the conductor-15 field, while the general dictionary of zeta and Dirichlet $L$-values for chosen conductors is the cusp_dictionary routine of Eichler.jl. Examples and the routine list are on the Lockpick page.