Equation 677 Database

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Magma 667d627aa2fe…

magma 667d627aa2fe
Size
49
Isomorphism class hash
667d627aa2fe665380ef708eb31c815311af7a00df4bfaefa28ed785f5a7bc57
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:53
Display reorder
48,42,47,43,45,44,46,14,32,0,8,38,26,20,34,28,3,22,10,16,40,27,15,2,39,21,33,9,24,12,5,36,18,30,6,31,25,1,19,7,13,37,17,29,4,11,35,41,23 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 15:53:33 · history