Equation 677 Database

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Magma 5ebfbb802eeb…

magma 5ebfbb802eeb
Size
121
Isomorphism class hash
5ebfbb802eeb70dd54088b43b701e3a350898bc1d820fb30bbaf1ac7e5d84520
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
yes
Submitted by
b-reinke
Submitted at
2026-05-14 05:46:47
Display reorder
0,2,34,19,102,75,111,110,106,49,94,1,32,56,61,29,54,65,98,21,66,83,16,108,46,14,99,107,91,31,87,118,12,79,85,42,82,120,36,88,39,33,30,76,41,77,15,74,23,50,10,60,92,48,70,97,22,113,3,90,109,5,78,52,37,114,73,62,63,44,26,95,80,53,51,18,13,71,7,45,89,20,72,67,27,47,104,38,86,64,101,4,17,24,35,57,69,59,68,117,6,81,100,93,55,25,112,40,116,8,11,103,115,105,96,43,9,58,119,84,28 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Constructed using the exceptional near-field II (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In particular, this model admits as symmetry group the sharply 2-transitive group (Z_11)^2 ⋊ (Z5 x SL(2,3)). This model satisfies Eq3345: x ◇ y = y ◇ (x ◇ (y ◇ x)).

last edited by b-reinke at 2026-05-14 06:47:50 · history