Size-80 (= 5 × 16) right-cancellative magma decomposing as a TWISTED fiber bundle: F_5(2,4) base × F_16 fiber. The 80 elements partition into 5 fibers of 16 (an F_5-quotient congruence), and EVERY fiber is itself a closed sub-magma isomorphic to F_16(6, 11) (a linear magma over the field F_16 = F_2⁴). However, unlike the direct product F_5 × F_16, the cross-fiber multiplication has a non-trivial cocycle, so the magma is NOT isomorphic to the direct product. Each fiber contains its own F_16-idempotent, and the 5 idempotents together form a 5-element sub-magma. Quasigroup (LC + RC). Analogous in structure to the 4 fiber-closed cocycle-twisted size-45 magmas (F_5 × F_9) in the database.
dwrensha · 2026-04-29 16:47:53