We will take a deep look at the explicit structure of the unstable homotopy groups in a range of stems. Our data is the result of machine computations with the unstable Adams spectral sequence.

We combine the unstable Adams spectral sequences for all spheres into one trigraded object. This trigraded spectral sequence has EHP structure maps. We obtain complete E2-page data by machine in a range. This includes additive, multiplicative, and algebraic EHP structure. Further analysis requires the study of Adams differentials. Both the multiplicative structure and the EHP structure are remarkably useful for differential analysis. We rely on machines to exhaustively extract information about differentials from known algebraic structure.