Recent activity
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5d5c0411…· Reorder set to0,1,51,26,9,53,7,25,66,6,71,75,67,31,77,59,8,54,33,63,38,17,41,35,49,43,79,20,74,4,62,56,18,14,81,10,55,60,22,19,24,39,70,61,11,84,52,16,29,50,65,23,80,21,76,78,45,3,82,5,83,42,72,44,13,69,34,27,28,47,32,46,64,15,12,40,2,57,36,73,58,68,48,37,30 -
10e5c920…· Reorder set to0,1,64,39,65,26,37,80,11,66,9,53,33,46,20,84,63,78,49,2,45,10,77,41,32,72,47,48,76,22,60,16,14,23,62,57,24,67,56,17,55,30,38,8,3,82,73,58,44,15,79,34,25,42,51,83,70,71,21,61,27,31,75,40,28,5,13,4,36,19,74,69,6,29,59,68,81,35,7,18,50,52,54,12,43 -
d02731a8…· Comment: Size-85 = 5·17 idempotent right-cancellative magma satisfying Eq 677 and Eq 255. Z_85 cyclic + involution + Steiner syst… -
5d5c0411…· Comment: Size-85 = 5·17 idempotent right-cancellative magma satisfying Eq 677 and Eq 255. Z_85 cyclic + involution + Steiner syst… -
10e5c920…· Comment: Size-85 = 5·17 idempotent right-cancellative magma satisfying Eq 677 and Eq 255. Z_85 cyclic + involution + Steiner syst… -
31ae2815…· Reorder set to0,1,72,5,3,52,18,11,24,28,44,4,54,7,61,79,64,41,30,82,75,34,35,76,38,84,59,42,39,57,9,2,67,50,23,48,71,78,29,43,63,22,26,46,55,66,33,51,47,36,56,68,32,6,20,37,58,31,60,27,15,73,19,62,65,77,10,40,13,70,14,16,74,21,69,49,25,8,17,81,83,53,12,80,45 -
31ae2815…· Comment: Size-85 idempotent right-cancellative magma satisfying Eq 677 and Eq 255. The carrier is the cyclic group Z_85 (= Z_5 ×… -
689663a9…· Reorder set to0,6,11,14,18,26,29,32,37,40,45,48,61,68,75,78,1,5,12,16,22,25,31,34,36,44,51,55,59,67,71,77,2,7,10,13,17,20,28,35,38,43,53,57,60,65,74,79,3,4,9,21,24,39,42,47,50,54,58,63,66,70,73,76,8,15,19,23,27,30,33,41,46,49,52,56,62,64,69,72,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95 -
689663a9…· Comment: Size-96 idempotent right-cancellative magma satisfying Eq 677 and Eq 255. A '6-petal disjoint partition' construction —… -
875876e7…· Reorder set to62,3,4,11,14,17,20,27,30,33,36,43,46,49,52,59,2,7,10,13,16,23,26,29,32,39,42,45,48,55,58,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,0,6,9,12,19,22,25,28,35,38,41,44,51,54,57,1,5,8,15,18,21,24,31,34,37,40,47,50,53,56 -
875876e7…· Comment: Size-76 idempotent right-cancellative magma satisfying Eq 677 and Eq 255. The structure is a **'pencil' of 5 size-16 sub… -
n=15
size 15 · Commentary: No Eq 677 magma of size 15 is currently known; the existence question is OPEN but several substantial partial results re…
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n=10
size 10 · Commentary: No magma of size 10 satisfies Equation 677. Jose Brox confirmed this with an exhaustive Mace4 search taking 39 hours (Z…
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n=10
size 10 · Commentary: No magma of size 10 satisfies Equation 677. Jose Brox confirmed this with an exhaustive Mace4 search taking 39 hours (Z…
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f304c339…· Reorder set to0,2,151,68,318,179,219,294,108,16,267,86,24,138,145,134,291,282,218,1,32,9,348,119,279,203,252,136,168,164,276,93,30,71,53,175,204,312,50,342,28,62,137,228,59,340,305,106,356,319,207,105,241,269,181,278,235,122,360,215,127,97,180,205,195,200,92,210,117,185,107,102,112,132,190,220,343,27,307,170,66,133,159,176,198,114,4,41,199,48,25,271,163,247,274,324,347,316,55,111,240,310,283,345,186,64,229,233,246,142,110,67,212,33,261,317,315,125,70,79,182,255,248,339,298,157,331,201,82,126,244,3,280,281,37,169,6,173,272,141,209,257,135,208,58,284,76,124,35,353,98,14,153,17,123,104,83,237,297,149,39,15,309,160,166,31,306,333,56,188,189,46,7,227,5,21,223,113,287,299,296,224,94,139,150,323,143,73,29,156,99,12,184,51,301,161,304,34,292,78,118,148,183,328,26,155,10,144,232,120,357,275,239,77,326,293,243,222,65,355,256,43,121,196,152,334,250,74,165,22,314,158,20,194,44,193,154,61,302,338,242,311,88,36,109,171,128,57,337,230,221,236,202,351,300,54,177,23,45,273,264,100,359,101,335,268,63,42,213,286,140,19,262,103,214,358,146,40,277,129,178,81,11,289,174,91,327,192,167,254,325,265,341,13,90,258,211,290,80,349,47,226,89,308,162,322,303,266,344,285,253,8,260,249,187,131,84,87,75,206,130,336,320,216,332,263,96,95,313,18,49,346,231,225,52,330,354,259,85,172,295,197,234,352,69,329,191,38,350,217,288,72,270,115,245,147,116,251,60,238,321 -
f304c339…· Comment: Size-361 = 19² idempotent right-cancellative magma satisfying Eq 677 and Eq 255. The carrier is the additive group of F_… -
91224574…· Comment: Size-361 = 19² idempotent right-cancellative magma satisfying Eq 677 and Eq 255. The carrier is the additive group of F_… -
c5c647a9…· Comment: Size-361 = 19² idempotent right-cancellative magma satisfying Eq 677 and Eq 255. The carrier is the additive group of F_… -
n=361
size 361 · Commentary: Size 361 = 19² admits Eq 677 magmas via near-field-style constructions. Currently 3 magmas in the DB, all idempotent rig…
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91224574…· Reorder set to0,2,296,277,169,103,97,358,359,269,231,51,247,90,48,243,126,34,210,1,42,181,40,219,250,309,74,308,166,137,193,143,88,119,130,317,197,336,158,57,91,212,324,134,55,208,16,323,332,265,13,196,152,351,89,145,234,120,32,299,183,307,261,64,133,187,30,298,78,326,209,156,109,81,240,127,344,77,165,172,195,36,154,111,254,281,33,343,75,232,178,19,216,352,228,136,12,113,189,100,44,306,107,241,58,220,287,278,61,253,10,179,279,257,226,87,46,291,242,272,175,164,43,98,238,92,121,353,29,354,205,264,85,341,47,45,255,79,171,198,3,135,202,6,186,224,314,313,142,148,124,322,132,37,188,266,138,35,83,214,114,245,125,304,312,69,192,303,331,161,86,262,17,194,49,112,63,292,66,15,284,141,118,105,311,246,225,283,258,94,327,52,260,176,8,207,191,319,147,129,346,50,84,203,140,11,229,318,153,99,22,54,68,71,289,123,316,230,263,267,199,117,297,20,146,110,251,288,293,27,73,294,321,268,204,302,151,256,104,59,76,128,235,182,122,25,115,295,360,340,335,275,330,350,270,310,325,300,345,280,355,315,305,285,320,290,28,72,338,160,70,167,227,190,173,31,14,149,211,106,347,249,223,276,339,9,67,144,333,206,155,101,65,342,162,244,222,218,185,271,168,334,26,23,215,7,282,108,273,184,56,95,248,39,5,301,174,102,274,236,252,53,131,239,62,217,139,213,328,180,201,356,150,163,96,329,60,21,337,18,157,4,233,82,177,41,116,286,348,237,24,357,349,170,200,159,259,38,80,93,221