Equation 677 Database

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Magma 64aca2c8c653…

magma 64aca2c8c653
Size
91
Isomorphism class hash
64aca2c8c653d0b65be3460afc2cc56b92482e67ad1041e7d75083b171bb4edf
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 21:25:12
Display reorder
90,84,85,89,86,87,88,0,12,34,45,57,65,74,7,21,27,47,51,60,76,4,18,30,37,48,69,73,11,16,32,43,55,71,78,3,17,31,42,49,70,75,2,13,24,46,58,66,77,5,19,29,36,50,68,82,9,23,26,39,54,62,83,8,22,35,41,52,63,72,10,14,25,40,53,67,80,1,15,33,44,56,64,81,6,20,28,38,59,61,79 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-91 (= 13 × 7) right-cancellative fiber bundle: F_13(9,11) base × F_7(4, 1) fiber, in the "twisted" Family B variant. The 91 elements partition into 13 fibers of 7 (a non-trivial congruence with F_13 quotient), but only ONE fiber is itself a sub-magma — a 7-element F_7(4, 1) sub-magma; the other 12 fibers are non-closed congruence classes. The magma has no global idempotent (the F_7 sub-magma's internal idempotent is not idempotent in the full magma). Quasigroup (LC + RC). Same Family B shape as the other size-91 F_13 × F_7 magmas (5e5f5ada, 60a96978, ba24c51f, ff44e916).

last edited by dwrensha at 2026-04-29 23:49:35 · history