Equation 677 Database

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Magma 7aca021e3f83…

magma 7aca021e3f83
Size
49
Isomorphism class hash
7aca021e3f8365b6920d8e7566922b4337108c018a11c518b82d5794186ce2cf
Satisfies Equation 255
yes
Right-cancellative
no
Idempotent
no
Submitted by
b-reinke
Submitted at
2026-05-26 08:58:43
Display reorder
44,43,42,46,45,47,48,2,1,0,3,4,5,41,24,25,26,28,27,29,40,32,33,31,30,34,35,36,12,14,13,17,15,16,38,6,7,8,10,9,11,37,20,19,18,21,22,23,39 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Order-49 (=7^2) non-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. Being non-right-cancellative, some right multiplications collapse a fiber to a point (this is what breaks cancellativity). 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 05:14:57 · history