Equation 677 Database

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Magma ae5baeb35d4c…

magma ae5baeb35d4c
Size
49
Isomorphism class hash
ae5baeb35d4cd775115bda8c52a567f461417c9dc4f1ea7de693ce9eac021400
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:53
Display reorder
48,42,47,43,45,44,46,0,7,12,19,25,34,36,2,8,15,21,26,32,39,3,11,16,22,28,33,40,4,10,17,23,29,31,41,1,9,14,20,27,35,38,5,6,13,18,24,30,37 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 15:53:34 · history