Equation 677 Database

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Magma 57bc3b9f50cd…

magma 57bc3b9f50cd
Size
49
Isomorphism class hash
57bc3b9f50cd3924d004798c81d067f9bcceeb3de5093b724879033a8820f4e2
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
b-reinke
Submitted at
2026-05-26 10:26:51
Display reorder
44,46,42,47,48,45,43,0,5,36,3,4,2,1,16,15,13,38,12,14,17,7,8,9,6,10,11,37,29,24,25,28,26,27,40,35,33,41,31,30,34,32,21,18,22,23,19,20,39 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