Equation 677 Database

← all  ·  ← by size  ·  ← size 63

Magma 832468c3d449…

magma 832468c3d449
Size
63
Isomorphism class hash
832468c3d44940b64768c63ac8e098aa45eb6fe656142a411cf4217d78340d56
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:20:42
Display reorder
62,54,59,61,56,55,57,58,60,12,32,38,26,50,0,45,6,20,15,35,40,28,48,4,47,9,19,14,33,39,27,49,1,44,8,18,17,31,37,25,52,2,42,11,23,13,30,36,24,51,5,43,7,21,16,34,41,29,53,3,46,10,22 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-63 (= 7 × 9) right-cancellative fiber bundle: F_7(4, 1) 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, which is isomorphic to F_9(3, 7) (a linear magma over the field F_9 = F_3²). The other 6 fibers are congruence classes that are NOT closed under ◇. The full magma is a quasigroup (LC + RC) with a unique idempotent. Analogous to the size-77 F_7 × F_11 family-B and size-91 F_7 × F_13 family-B magmas in the database.

last edited by dwrensha at 2026-04-29 15:43:24 · history