Equation 677 Database

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Magma bde94d924405…

magma bde94d924405
Size
880
Isomorphism class hash
bde94d924405614379074d630d35c62190dc88b710b49afba074eb7fa3407559
Satisfies Equation 255
yes
Right-cancellative
no
Idempotent
yes
Submitted by
dwrensha
Submitted at
2026-04-28 18:54:44
Display reorder
0,594,719,749,601,1,593,722,748,602,5,585,718,742,605,14,586,725,755,599,8,596,724,743,612,12,590,716,745,610,756,762,760,759,613,6,591,713,750,598,9,597,723,741,611,2,584,715,751,604,7,595,711,744,600,4,587,720,753,607,3,583,714,754,606,10,592,721,747,603,11,589,717,746,609,13,588,712,752,608,44,570,539,397,688,42,569,547,406,689,40,576,540,404,680,35,567,544,401,681,37,574,537,402,683,32,579,548,399,686,409,582,549,411,695,43,577,538,394,682,38,568,534,408,692,39,571,541,400,685,36,573,536,403,694,30,580,545,395,684,31,581,546,396,693,41,575,543,405,690,33,578,542,398,687,34,572,535,407,691,370,799,328,657,434,369,798,320,658,437,364,801,319,654,431,367,804,330,646,432,378,807,324,650,443,375,803,331,647,439,660,812,809,662,446,373,794,321,659,435,371,808,325,651,444,372,796,326,653,436,377,806,323,649,442,368,795,322,655,430,366,805,329,645,433,376,797,327,652,440,374,802,332,648,438,365,800,333,656,441,787,634,361,335,426,782,644,356,345,421,790,637,350,338,423,784,630,358,347,429,791,638,349,339,427,788,635,362,336,416,811,663,661,810,445,792,639,351,340,415,781,643,355,344,417,779,642,354,343,428,786,633,360,334,422,780,641,353,342,424,783,631,357,346,425,785,632,359,348,418,789,636,363,337,419,793,640,352,341,420,554,391,59,526,668,561,387,57,529,673,559,390,53,521,670,564,381,48,524,665,557,389,51,532,678,565,382,56,525,677,566,412,410,550,679,551,385,58,528,667,558,388,50,533,666,560,386,52,527,675,556,393,49,531,676,562,380,46,519,672,553,392,47,523,674,555,383,54,520,664,552,384,55,522,669,563,379,45,530,671,777,727,25,705,618,764,728,24,701,617,763,732,29,710,626,768,739,23,704,621,774,737,15,709,627,767,735,17,696,619,778,758,757,761,629,765,726,26,698,615,773,736,16,708,628,775,729,27,699,614,766,738,20,706,624,769,740,22,703,622,771,731,19,697,620,776,730,28,700,616,772,733,21,707,625,770,734,18,702,623,467,843,870,233,261,476,839,867,239,266,473,844,871,230,259,472,835,874,236,270,468,836,866,241,272,471,842,869,235,265,480,875,877,447,813,477,838,862,232,267,470,831,864,243,263,478,837,863,229,268,479,830,865,242,273,469,833,873,237,260,474,841,861,240,271,475,840,860,231,269,465,834,868,234,264,466,832,872,238,262,177,487,84,215,295,167,489,83,228,298,179,495,87,225,303,170,496,89,221,294,178,501,76,224,299,171,499,78,214,289,198,502,486,196,413,165,492,82,222,291,176,500,88,223,302,166,491,85,216,292,168,490,75,227,300,173,493,81,219,301,175,497,77,220,293,169,488,86,226,297,172,494,80,218,296,174,498,79,217,290,121,147,109,158,73,131,142,119,153,68,124,136,112,161,70,133,144,105,155,60,125,135,113,162,74,122,148,110,159,62,482,483,481,484,879,126,137,114,163,63,130,141,118,152,64,129,140,117,150,61,120,146,108,157,69,128,139,116,151,71,132,143,106,154,72,134,145,107,156,65,123,149,111,160,66,127,138,115,164,67,99,187,200,504,307,90,182,205,506,312,96,186,203,503,305,93,193,207,509,304,100,189,208,516,315,94,184,210,514,309,485,195,197,518,414,91,188,213,510,317,102,194,199,505,314,92,183,212,507,313,101,190,201,517,316,97,191,202,508,308,98,192,206,515,306,103,181,209,513,318,104,185,211,511,310,95,180,204,512,311,817,258,451,853,279,815,248,450,852,277,819,254,460,856,284,821,250,455,851,282,828,257,461,846,285,820,249,456,847,280,878,448,464,876,814,826,245,458,854,275,829,256,462,845,286,827,252,463,857,288,825,255,457,858,287,823,246,453,850,274,822,251,454,849,281,816,247,449,855,278,818,253,459,859,283,824,244,452,848,276 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-880 (= 11 × 16 × 5) magma decomposing as a triple direct product: Tao(F_11, β=5) × F_16(ζ=8, ω=6) × F_5(2,4). The first two factors together form the size-176 non-right-cancellative magma 43f0cc11 — a Tao G × M fiber-bundle construction with abelian base F_11 and fiber F_16, with cocycle determined by the quadratic-residue / non-residue character of base differences. Direct-multiplying with F_5(2,4) (a 5-element right-cancellative linear magma) gives this size-880 magma. The product is non-right-cancellative and idempotent (every element x satisfies x ◇ x = x), inherited from the Tao factor.

last edited by dwrensha at 2026-04-29 16:41:20 · history