Equation 677 Database

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Magma 42d78fdb27ce…

magma 42d78fdb27ce
Size
63
Isomorphism class hash
42d78fdb27ce9af377b1ab245df9d9443d767b536cb3712e40b6f43e6babb0d8
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:20:42
Display reorder
62,0,4,6,1,7,2,3,5,8,18,22,29,32,43,44,55,57,12,17,20,31,33,42,45,54,58,9,16,23,26,37,39,48,51,60,10,19,21,30,34,41,46,53,56,13,15,24,28,35,40,49,50,61,11,14,25,27,36,38,47,52,59 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-63 (= 7 × 9) right-cancellative fiber bundle: F_7(4, 3) base × F_9(3, 7) fiber, in the "twisted" Family B variant. The 63 elements partition into 7 fibers of 9 (a non-trivial congruence with F_7 quotient), but only ONE fiber is itself a sub-magma — the fiber at the F_7-idempotent coset, isomorphic to F_9(3, 7). The other 6 fibers are non-closed congruence classes. Quasigroup (LC + RC) with a unique idempotent.

last edited by dwrensha at 2026-04-29 15:45:47 · history