Equation 677 Database

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Magma 053a3e61d34d…

magma 053a3e61d34d
Size
49
Isomorphism class hash
053a3e61d34d944daefe569417a0a208db032ad589aae5d37defc34bfef2514f
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:51
Display reorder
48,42,47,43,45,44,46,24,12,0,30,18,6,36,14,8,2,38,32,26,20,37,19,1,25,7,31,13,10,28,4,22,40,16,34,35,41,5,11,17,23,29,21,33,3,15,27,39,9 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 15:53:30 · history