Equation 677 Database

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Magma 5bd42664975c…

magma 5bd42664975c
Size
95
Isomorphism class hash
5bd42664975cfed105c402c13d3b946bfc344eec74488fa75bffe264ebfb80ac
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
dwrensha
Submitted at
2026-06-17 11:39:03
Display reorder
94,89,14,44,64,69,49,59,34,79,39,74,19,9,29,24,84,54,4,93,85,13,43,60,65,45,55,33,75,38,70,18,7,28,23,80,50,3,90,86,11,41,61,66,46,56,31,76,36,71,16,6,26,21,81,51,1,92,87,12,42,62,67,47,57,32,77,37,72,17,8,27,22,82,52,2,91,88,10,40,63,68,48,58,30,78,35,73,15,5,25,20,83,53,0 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-95 Latin eq677 magma: a permutation-twisted 5x19 fibre bundle. See the size-95 page comment for the general family. 5-class congruence theta, five 19-element classes. Coordinates (i,u): i in F_5 class index, u in F_19 fibre coord; row Ci lists u=0,1,...,18: C0: 90,86,11,41,61,66,46,56,31,76,36,71,16,6,26,21,81,51,1 C1: 91,88,10,40,63,68,48,58,30,78,35,73,15,5,25,20,83,53,0 C2: 93,85,13,43,60,65,45,55,33,75,38,70,18,7,28,23,80,50,3 C3: 92,87,12,42,62,67,47,57,32,77,37,72,17,8,27,22,82,52,2 C4: 94,89,14,44,64,69,49,59,34,79,39,74,19,9,29,24,84,54,4 Quotient M/theta is magma#e549b5f8 (i*j = 2i+4j). Each theta-class is the F_19 affine law u*v = 7u+3v. In these coordinates: (i,u)*(j,v) = (2i+4j, 7u+3v) if i=j (i,u)*(j,v) = (2i+4j, p^-1(7 p(u)+3 p(v))) if i!=j with twist p = (9,11,14,18,0,16,10,2,3,5,17,4,6,7,15,8,1,13,12). Right-cancellative, non-idempotent. [text written by Claude]

last edited by dwrensha at 2026-06-17 11:45:41 · history