Recent activity
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2f965789…· Reorder set to0,1,70,121,9,143,46,109,57,101,124,44,39,110,162,84,11,4,26,40,38,20,28,170,129,89,176,99,69,112,153,135,114,134,12,165,29,100,161,48,65,92,23,37,158,163,105,90,175,2,68,75,87,113,173,137,118,78,32,82,147,159,59,157,62,131,141,125,67,83,73,120,17,117,19,24,140,178,136,60,79,7,55,144,133,126,171,86,179,47,8,18,95,156,34,123,106,3,42,152,10,167,76,56,77,22,54,127,41,88,146,71,15,154,160,96,98,149,145,166,142,21,52,97,102,66,43,115,51,104,85,164,63,128,155,31,169,107,6,151,61,111,130,138,172,150,36,50,35,148,139,91,45,122,13,132,5,116,180,58,177,74,168,64,103,33,81,25,93,108,94,27,16,80,72,53,119,30,174,49,14 -
8c3de954…· Reorder set to0,1,148,139,27,94,166,40,106,151,14,108,25,104,48,83,85,105,127,29,17,64,129,5,165,55,161,115,144,112,155,51,80,171,73,59,7,82,156,57,22,46,130,21,2,119,169,50,88,67,164,128,125,132,172,103,180,43,69,35,49,31,61,170,146,117,66,52,111,15,33,122,16,160,98,140,116,162,176,68,138,118,97,3,86,6,58,158,62,114,32,167,23,126,30,36,143,141,124,44,10,8,20,93,37,100,63,152,133,81,90,110,109,177,75,34,19,77,39,154,134,41,168,45,76,60,120,70,175,38,149,4,56,71,89,47,42,9,11,84,78,157,79,12,92,87,95,153,145,150,18,137,54,136,142,26,24,102,123,147,174,159,113,91,107,72,173,53,163,179,121,65,101,28,96,99,135,13,131,178,74 -
7580f29f…· Reorder set to0,1,14,17,78,138,21,75,168,119,62,96,150,61,51,139,120,18,68,172,41,171,72,16,175,84,146,90,5,170,177,31,131,22,166,106,124,59,26,4,24,174,108,159,134,34,112,162,100,145,117,157,58,179,114,153,129,48,73,50,35,169,151,121,46,176,55,132,125,74,135,101,15,130,85,3,126,65,127,44,87,165,94,27,37,105,141,38,164,123,6,45,93,9,86,83,70,69,148,110,80,47,13,39,104,67,32,97,140,173,66,91,81,107,54,160,163,158,154,7,122,133,102,53,49,77,88,2,40,111,89,98,92,161,57,10,52,99,60,180,36,144,28,79,33,116,137,143,20,156,64,71,19,8,25,29,147,178,167,76,109,113,118,115,30,152,12,136,42,128,95,142,56,43,149,63,82,23,11,155,103 -
2c0a619d…· Reorder set to0,1,155,58,118,15,38,176,57,93,91,22,171,160,68,168,14,113,143,179,37,28,86,66,139,127,124,99,56,95,145,101,146,100,140,11,144,169,172,94,21,41,73,82,134,98,158,59,123,23,115,126,67,136,138,12,131,83,60,163,13,110,46,45,166,149,54,44,106,178,70,129,142,48,33,112,36,19,31,53,27,167,111,43,85,50,6,159,65,4,170,141,102,39,128,69,90,87,161,92,177,119,74,105,152,175,61,47,55,71,34,32,148,7,117,165,108,75,62,35,154,63,180,18,109,80,17,30,153,120,162,52,103,77,79,26,10,2,16,130,107,150,29,164,132,137,116,42,135,24,173,84,147,96,125,49,20,114,51,5,40,88,156,122,72,8,76,64,81,157,78,3,97,174,25,133,151,89,9,104,121 -
n=121
size 121 · Commentary: Size 121 = 11² is among the most populated sizes in this database (35 magmas as of writing), reflecting the abundance of…
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n=121
size 121 · Commentary: Size 121 = 11² is among the most populated sizes in this database (35 magmas as of writing), reflecting the abundance of…
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n=5
size 5 · Commentary: Size 5 is the smallest size > 1 that admits an Equation 677 magma (sizes 2, 3, 4 admit none — see their respective size…
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n=5
size 5 · Commentary: Size 5 is the smallest size > 1 that admits an Equation 677 magma (sizes 2, 3, 4 admit none — see their respective size…
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n=4
size 4 · Commentary: No magma of size 4 satisfies Equation 677. Proof. Equation 677 forces every row of the Cayley table to be a permutation…
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n=3
size 3 · Commentary: No magma of size 3 satisfies Equation 677. Proof. Equation 677 forces every row of the Cayley table to be a permutation…
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n=2
size 2 · Commentary: No magma of size 2 satisfies Equation 677. Proof. Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each fixe…
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n=5
size 5 · Commentary: Size 5 is the smallest size > 1 that admits an Equation 677 magma (sizes 2, 3, 4 admit none — see their respective size…
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n=5
size 5 · Commentary: Size 5 is the smallest size that admits an Equation 677 magma, and there is exactly one such magma up to isomorphism. *…
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n=4
size 4 · Commentary: No magma of size 4 satisfies Equation 677. **Proof.** Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each…
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n=3
size 3 · Commentary: No magma of size 3 satisfies Equation 677. **Proof.** Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each…
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n=2
size 2 · Commentary: No magma of size 2 satisfies Equation 677. **Proof.** Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each…
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5ebfbb80…· Reorder set to0,2,34,19,102,75,111,110,106,49,94,1,32,56,61,29,54,65,98,21,66,83,16,108,46,14,99,107,91,31,87,118,12,79,85,42,82,120,36,88,39,33,30,76,41,77,15,74,23,50,10,60,92,48,70,97,22,113,3,90,109,5,78,52,37,114,73,62,63,44,26,95,80,53,51,18,13,71,7,45,89,20,72,67,27,47,104,38,86,64,101,4,17,24,35,57,69,59,68,117,6,81,100,93,55,25,112,40,116,8,11,103,115,105,96,43,9,58,119,84,28 -
5ebfbb80…· Comment: Constructed using the exceptional near-field II (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In… -
5ebfbb80…· Comment: Constructed using an exceptional near-field (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In par… -
5ebfbb80…· Comment: Constructed using an exceptional near-field (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In par…