Data and programs for: Kummer fibre products and new lower bounds for N_q(g)

Equations of 114 curves over finite fields (99 new or improved lower bounds for N_q(g) and 15 further curves), independent verification programs (place-by-place computation, recount from cyclic quotients, direct count without discrete logarithms, Magma scripts for the cyclic quotients and the full fibre products), the exhaustive search program for Kummer fibre products up to PGL_2(F_q), the family bound beta_q, and logs of all exhaustive runs. See README.md.