Equation 677 Database

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Magma f593f6fd6af2…

magma f593f6fd6af2
Size
49
Isomorphism class hash
f593f6fd6af22628aac56132e8a404f0f5495474f221e7cb9f730b3899344421
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:52
Display reorder
48,42,43,47,44,45,46,1,32,30,0,33,31,41,8,6,4,2,7,5,3,40,38,36,34,39,37,35,22,20,18,16,21,19,17,29,27,25,23,28,26,24,15,13,11,9,14,12,10 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, 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 15:53:32 · history