Magnetic Against Rotational Energy in Magnetars: A Catalogue-Wide Dominance Census

Every magnetar holds two reservoirs: the kinetic energy of its spin and the energy of its magnetic field. In an ordinary pulsar the spin reservoir dwarfs the field; in a magnetar the ordering can invert. Computing both reservoirs for the full catalogue, with one set of conventions, shows where the inversion happens and how large it becomes. Working from published values for the sources concerned, this paper computes the relevant quantities under one stated set of conventions and compares them source by source. Headline results: largest ratio source SGR 1806-20; largest ratio mag over rot 1.8e+03; smallest ratio mag over rot 2.13e-03; sources magnetic exceeds rotational 15; n sources 18. The comparisons are budget statements: they establish whether the energies, stresses, powers and timescales involved are mutually consistent, and by what margin. Every number quoted is produced by the deposited compute.py script from the stated inputs, and the full per-source record is deposited as results.json alongside the text.