Size-45 (= 5 × 9) magma: the direct product F_5(2,4) × F_9(3,7). The 45 elements partition into 5 fibers of 9, every fiber is an F_9(3,7) sub-magma, and the cross-fiber multiplication is the trivial (direct-product) cocycle. F_9 is the field of order 9 = 3², and (3,7) gives one of the two F_9-linear magmas satisfying equation 677. The database has 4 other size-45 magmas (9ac61f33, 05aba89c, a97cd359, fec06f1f) with the same F_5 base × F_9 fiber structure but non-trivial twists.
dwrensha · 2026-04-29 13:45:01
Direct product of two linear magmas: F_5(2,4) × F_9.
dwrensha · 2026-04-29 15:35:17
dwrensha · 2026-04-29 13:45:01
dwrensha · 2026-04-29 13:29:24