Equation 677 Database

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Magma aa98186d6c35…

magma aa98186d6c35
Size
63
Isomorphism class hash
aa98186d6c35a24d1477133f874cd8b977e362969f96407f1551154b079ab268
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:20:44
Display reorder
62,56,61,57,59,58,60,40,0,29,15,22,36,52,46,18,4,32,25,49,11,9,16,30,50,7,8,23,39,14,53,28,35,1,21,47,51,43,44,45,42,41,38,27,20,54,2,13,34,37,55,33,19,12,26,3,6,31,10,5,48,17,24 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