Equation 677 Database

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Magma abfcc2525483…

magma abfcc2525483
Size
63
Isomorphism class hash
abfcc2525483f7084fdf58ede34fe0a68ce576a3898bcf3bdbbec627d325e49b
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:20:43
Display reorder
62,40,41,44,42,43,45,24,51,9,57,0,34,22,28,46,12,60,6,37,17,29,49,10,61,3,33,21,26,52,15,56,5,32,16,31,50,8,54,7,35,20,27,53,14,55,1,36,18,25,47,13,58,4,38,23,30,48,11,59,2,39,19 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-63 (= 9 × 7) right-cancellative fiber bundle: F_9(3, 7) base × F_7(4, 1) fiber, in the "twisted" Family B variant. The 63 elements partition into 9 fibers of 7 (a non-trivial congruence with F_9 quotient over the extension field F_9 = F_3²), but only ONE fiber is itself a sub-magma — the fiber at the F_9-idempotent coset, isomorphic to F_7(4, 1). The other 8 fibers are non-closed congruence classes. Quasigroup (LC + RC) with a unique idempotent.

last edited by dwrensha at 2026-04-29 15:45:49 · history