Equation 677 Database

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Magma 767749918ef6…

magma 767749918ef6
Size
49
Isomorphism class hash
767749918ef64050d3572cb1ee9f41abdbf2428164d3752c8a7f1af434993fee
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:52
Display reorder
48,42,43,47,44,45,46,11,27,39,17,30,21,0,6,29,41,16,31,23,2,8,24,37,13,34,20,3,10,28,40,15,35,22,4,7,25,36,12,33,19,1,9,26,38,14,32,18,5 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, 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 15:53:31 · history