Equation 677 Database

← all  ·  ← by size  ·  ← size 49

Magma 68e138493713…

magma 68e138493713
Size
49
Isomorphism class hash
68e1384937134c63af129f5ece64a7c008537a590ceb711a2736724a4179b727
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:38
Display reorder
48,42,47,43,45,44,46,0,7,13,19,25,31,37,1,5,11,17,23,29,35,6,12,18,24,30,36,41,3,9,15,21,27,33,39,2,8,14,20,26,32,38,4,10,16,22,28,34,40 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-49 (= 7²) right-cancellative fiber bundle: F_7(4, 3) base × F_7(4, 3) fiber, in the "twisted" Family B variant. The 49 elements partition into 7 fibers of 7 (an F_7-quotient congruence), but only ONE fiber is itself a sub-magma — the fiber at the F_7-idempotent coset, ≅ F_7(4, 3). The other 6 fibers are non-closed congruence classes. Quasigroup (LC + RC) with a unique idempotent.

last edited by dwrensha at 2026-04-29 15:53:14 · history