Equation 677 Database

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Magma 530ee4afe55c…

magma 530ee4afe55c
Size
49
Isomorphism class hash
530ee4afe55c1a4eef644c73b62c4e17dec64da2dfce3ba779281604aa8d1ae7
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:36
Display reorder
48,42,47,43,45,44,46,14,21,29,34,37,0,6,13,18,24,33,41,3,9,12,20,27,35,40,5,7,16,22,25,32,36,2,11,17,23,28,31,38,1,8,15,19,26,30,39,4,10 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-49 (= 7²) right-cancellative fiber bundle: F_7(4, 1) 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 15:53:13 · history