2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107577There is a family of seventh-degree polynomials $H$ whose members possess the symmetries of a simple group of order 168. This group has an elegant action on the complex projective plane. Developing some of the action's rich algebraic and geometric properties rewards us with a special map that also realizes the 168-fold symmetry. The map's dynamics provides the main tool in an algorithm that solves "heptic" equations in $H$.28 pages, ten figuresDynamical Systems37F45; 20C30text