Equation 677 Database

← all  ·  ← by size  ·  ← size 49

Magma 0102f7d796c2…

magma 0102f7d796c2
Size
49
Isomorphism class hash
0102f7d796c22250137ffd2ddf6930ec6d09f5082a96b36cc2f8abc535fe8043
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
b-reinke
Submitted at
2026-05-26 10:27:15
Display reorder
46,43,42,44,45,47,48,25,19,7,0,37,31,13,5,35,17,1,23,29,11,30,36,24,12,41,18,6,33,27,39,9,21,3,15,2,32,14,38,20,26,8,22,40,4,10,16,28,34 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 05:14:46 · history