Equation 677 Database

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Magma 5346793d1fbd…

magma 5346793d1fbd
Size
49
Isomorphism class hash
5346793d1fbda4ee4448a10ef4a9a64ecb28717882fd439372965693c3708129
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
b-reinke
Submitted at
2026-05-26 10:26:50
Display reorder
45,44,43,47,42,46,48,14,21,28,0,7,35,36,16,3,38,9,31,24,23,30,29,37,15,8,22,2,26,11,5,19,33,12,40,27,20,34,6,41,1,13,39,32,10,18,17,25,4 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(4,1), 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 05:14:52 · history