Size-89 magma: 88 = 11 × 8 elements form 11 fibers of 8 (with an F_11 base op), plus one adjoined right-identity element e. Left-multiplication by e is a finite-order permutation acting on the fibers.
Decoded recipe (2026-09-04, Claude Fable 5.1 with dwrensha; reproduced exactly by construction, server hash matches): carrier {e} + F_11 x Z/8. Base law i*j = 6i + 6j mod 11. Off-diagonal fibers (i != j): (i,s)*(j,t) = (i*j, t) if j-i is a nonzero square mod 11, else (i*j, -s-t mod 8). Each diagonal fiber together with e is a copy of the unique size-9 magma magma#2925dc18 (e = its right identity, the only idempotent), the 11 copies glued along e. For x,y in distinct fibers all four products of Eq677 stay off-diagonal, so the diagonal seeds can be chosen independently; the same recipe with other seeds (any 677 magma with an idempotent, sizes 5, 7, 11, 13, 25) and either idempotent linear base law over F_11 gives further simple non-RC magmas of sizes 11k+1 (45, 67, 89, 111, 133, 265), submitted 2026-09-04. Sibling of this one with base law 10i + 2j: magma#518e9e9a4628157ad68afbac90919217bda484316b89a7fa58f619fea1368b47.
dwrensha · 2026-04-29 13:44:59
Size-89 magma: 88 = 11 × 8 elements form 11 fibers of 8 (with an F_11 base op), plus one adjoined right-identity element e. Left-multiplication by e is a finite-order permutation acting on the fibers.
dwrensha · 2026-04-29 13:29:23
F_11 × Z/8 + right-id 88: 11 fibers of 8 (L_e-cycle order) + e at end. Magma decomposes as 11 fibers + 1 adjoined right-identity element. The right-id has L_e action of finite order acting on the fibers.
dwrensha · 2026-09-04 23:14:10
dwrensha · 2026-04-29 13:44:59
dwrensha · 2026-04-29 13:29:23