Recent activity
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ae850597…· Comment: Asymmetric "mixed-pencil" magma at size 69 = 3 * 23. Size 69, exactly 1 idempotent (element 68), right-cancellative. |A… -
ae850597…· Comment: Asymmetric "mixed-pencil" magma at size 69 = 3 * 23. Size 69, exactly 1 idempotent (element 68), right-cancellative. |A… -
ae850597…· Reorder set to60,61,62,63,64,65,66,67,0,1,2,3,4,5,6,16,17,45,46,47,7,8,9,10,11,12,13,14,15,18,40,41,19,20,21,22,23,24,25,26,27,28,29,42,30,31,32,33,34,35,36,37,38,39,43,44,48,49,50,51,52,53,54,55,56,57,58,59,68 -
1b32837d…· Comment: Size-49 "pencil" magma — 8 size-7 sub-magmas all sharing a unique idempotent, in 2 iso classes (7+1). Size 49 = 7^2. Ex… -
60f580e4…· Reorder set to0,1,6,5,4,3,2,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,29,28,27,26,25,30 -
60f580e4…· Comment: Constant-offset linear magma over F_31: x ◇ y = 5x + 27y + 28 (mod 31). Size 31, prime, fully NON-idempotent (no idempo… -
9f34fd7d…· Reorder set to0,1,23,25,22,14,11,21,9,6,12,26,3,10,16,5,13,2,18,4,24,19,15,20,8,7,27,28,17 -
9f34fd7d…· Comment: Tao Type II 2-piece translation-invariant magma at size 29. Size 29, prime, fully idempotent, RC. |Aut(M)| = 406 = 14 *… -
17d8eb76…· Comment: Non-idempotent fiber-bundle magma at size 65, with a "pivot F_5 + 5 petals of 12" structure. Size 65 = 5 * 13 = 5 + 60.… -
n=65
size 65 · Commentary: Size 65: 17 distinct Eq 677 magmas in the DB. Unlike sizes 41 and 61, 65 = 5*13 is composite. Crucially, the cyclotomic…
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62917c53…· Reorder set to0,1,52,3,23,19,9,55,13,27,7,38,63,22,25,40,33,47,18,20,31,60,48,21,53,35,43,61,15,12,4,64,39,5,37,32,29,51,24,62,58,49,10,34,16,2,57,11,42,50,56,46,44,28,45,41,54,17,59,14,30,6,36,26,8 -
2db4eae0…· Reorder set to0,1,30,7,62,37,54,40,49,10,55,32,53,9,19,64,21,34,8,15,33,12,3,44,13,48,58,43,28,17,22,60,2,4,26,47,16,23,24,63,27,29,59,25,6,41,18,20,38,36,56,61,52,46,31,11,42,35,50,51,5,14,57,39,45 -
62917c53…· Comment: Translation-only Steiner-line magma at size 65 (Type C slope pattern - unique variant). Size 65 = 5 * 13, fully idempot… -
2db4eae0…· Comment: Translation-only Steiner-line magma at size 65 (Type B slope pattern - 2 magmas). Size 65 = 5 * 13, fully idempotent, R… -
d8ba33b5…· Reorder set to0,1,8,24,52,33,6,13,54,59,9,42,16,15,57,49,53,12,29,63,25,2,48,21,43,14,38,26,39,36,32,56,31,62,23,3,46,41,58,20,18,35,17,19,5,45,34,50,10,37,40,44,27,7,55,47,22,11,51,4,28,61,30,64,60 -
a09c4223…· Reorder set to0,1,45,24,13,37,60,42,14,31,44,57,55,40,28,49,15,43,22,16,25,2,50,11,58,41,4,27,5,6,38,30,20,19,8,3,33,56,29,10,53,36,52,54,63,35,39,48,46,7,59,32,26,62,12,34,9,47,51,61,21,18,23,64,17 -
84076266…· Reorder set to0,1,17,14,60,8,38,33,20,31,48,27,43,39,40,42,59,21,26,16,46,2,30,22,18,58,5,23,15,44,37,56,63,9,62,64,11,34,35,47,25,4,49,57,54,7,36,45,28,41,53,24,13,6,55,61,10,12,32,50,19,29,52,3,51 -
d8ba33b5…· Comment: Translation-only Steiner-line magma at size 65 (Type B slope pattern - 2 magmas). Size 65 = 5 * 13, fully idempotent, R… -
a09c4223…· Comment: Translation-only Steiner-line magma at size 65 (Type A slope pattern - 5 magmas). Size 65 = 5 * 13, fully idempotent, R… -
84076266…· Comment: Translation-only Steiner-line magma at size 65 (Type A slope pattern - 5 magmas). Size 65 = 5 * 13, fully idempotent, R…