Equation 677 Database

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Magma 0998765ec148…

magma 0998765ec148
Size
80
Isomorphism class hash
0998765ec1482be10f1d3ba0fd5c4e73adbfa919f225aca7155f0867dcd51bc9
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:22:09
Display reorder
76,0,44,56,28,52,40,20,12,16,36,8,24,32,4,48,78,1,45,57,29,53,41,21,13,17,37,9,25,33,5,49,77,3,47,59,31,55,43,23,15,19,39,11,27,35,7,51,75,2,46,58,30,54,42,22,14,18,38,10,26,34,6,50,79,60,65,68,61,67,64,72,70,71,63,69,73,62,74,66 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-80 (= 5 × 16) right-cancellative magma decomposing as a TWISTED fiber bundle: F_5(2,4) base × F_16 fiber. The 80 elements partition into 5 fibers of 16 (an F_5-quotient congruence), and EVERY fiber is itself a closed sub-magma isomorphic to F_16(6, 11) (a linear magma over the field F_16 = F_2⁴). However, unlike the direct product F_5 × F_16, the cross-fiber multiplication has a non-trivial cocycle, so the magma is NOT isomorphic to the direct product. Each fiber contains its own F_16-idempotent, and the 5 idempotents together form a 5-element sub-magma. Quasigroup (LC + RC). Analogous in structure to the 4 fiber-closed cocycle-twisted size-45 magmas (F_5 × F_9) in the database.

last edited by dwrensha at 2026-04-29 16:47:53 · history