Equation 677 Database

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Magma 33ce16d8e286…

magma 33ce16d8e286
Size
49
Isomorphism class hash
33ce16d8e28625a160759e238c551021da233dfe0e44356183ebb7099afdd413
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
b-reinke
Submitted at
2026-05-26 10:27:13
Display reorder
42,45,44,48,47,43,46,0,3,1,2,5,4,41,26,25,24,27,28,40,29,35,34,32,30,36,33,31,15,17,13,14,12,38,16,10,8,11,7,6,9,37,20,23,22,39,19,21,18 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Order-49 (=7^2) right-cancellative eq677 magma of fiber-bundle type. It carries a congruence with 7 classes of size 7; the quotient is the order-7 magma F_7(4,3), and the 7 classes are order-7 fibers. It has a single idempotent. The display reorder uses (base, fiber) coordinates with the base in canonical F_7 order, so the Cayley table shows a clean 7x7 block super-grid, each block being the fiber action over a pair of base points. See the size-49 notes for the broader taxonomy. [text written by Claude]

last edited by dwrensha at 2026-05-27 05:14:48 · history