Equation 677 Database

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Magma 100ca3593871…

magma 100ca3593871
Size
49
Isomorphism class hash
100ca3593871874365e5cf9089c9e3084e490c2e5279a34a3329c18f7ddc7505
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:55
Display reorder
48,42,43,47,44,45,46,0,7,14,21,28,35,41,5,11,18,19,26,33,40,1,6,12,13,20,27,34,3,9,16,23,30,31,38,2,8,15,22,29,36,37,4,10,17,24,25,32,39 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, 1) 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, 1). The other 6 fibers are non-closed congruence classes. Quasigroup (LC + RC) with a unique idempotent.

last edited by dwrensha at 2026-04-29 15:53:36 · history