Equation 677 Database

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Magma a24a85feef58…

magma a24a85feef58
Size
63
Isomorphism class hash
a24a85feef58ddab4c391c9a1de4c871b079971f7b4143c6d1225a457f6447d5
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:20:44
Display reorder
62,56,61,57,59,58,60,25,16,41,50,39,0,14,26,21,45,54,38,4,10,31,19,40,49,36,2,9,30,20,42,51,37,1,8,27,22,47,48,33,7,11,28,23,43,52,32,6,12,24,18,46,53,35,5,15,29,17,44,55,34,3,13 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(4,3) 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(4,3). The other 8 fibers are non-closed congruence classes. Quasigroup (LC + RC) with a unique idempotent. The database contains 3 inequivalent (non-isomorphic) Family B twists with this same F_9(3,7) × F_7(4,3) skeleton: e8303565, aa98186d, and a24a85fe — they share the same fiber-bundle structure but differ by non-trivial cocycle twists across fibers.

last edited by dwrensha at 2026-04-29 15:47:03 · history