Equation 677 Database

← all  ·  ← by size  ·  ← size 63

Magma e83035650a11…

magma e83035650a11
Size
63
Isomorphism class hash
e83035650a112a4626b8c7ce1675cd9b58ab3b164a3e70252b4d03aa47124247
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:20:43
Display reorder
62,56,61,57,59,58,60,13,19,42,32,0,48,30,8,16,46,35,3,53,31,14,20,45,33,2,55,24,10,21,41,38,7,50,27,11,22,40,34,4,49,28,15,18,47,36,1,51,29,9,23,44,37,6,52,26,12,17,43,39,5,54,25 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 15:47:02 · history