Equation 677 Database

Magma e5188e4265d8…

magma e5188e4265d8
Size
961
Isomorphism class hash
e5188e4265d8e47c4f3f05bd2e4ec59c31eec1b61062e302301e139ba572d27d
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Fiber matrix
symmetric: yes · normal: yes · rank: 1 (nullity 960) what is this?
Submitted by
qawbecrdtey
Submitted at
2026-08-28 02:44:08
Display reorder
957,926,479,557,286,275,607,581,359,846,83,228,675,97,648,516,179,801,200,820,140,420,43,443,714,774,27,891,712,378,318,953,908,465,538,295,276,613,564,348,850,68,220,678,95,624,506,158,794,202,817,148,403,39,454,730,768,26,882,700,391,313,941,913,484,550,304,277,619,578,368,854,84,243,681,94,631,497,168,787,204,814,124,419,35,435,716,762,25,873,688,372,339,958,918,471,531,282,278,594,561,357,858,69,235,653,122,638,517,178,780,206,811,133,404,32,445,733,756,24,895,707,386,334,933,923,489,543,291,249,600,575,346,862,85,227,656,120,645,507,157,804,208,808,141,418,58,456,719,750,23,886,695,399,329,951,905,476,555,300,248,606,559,366,866,70,219,659,118,620,496,167,797,210,836,149,433,54,436,736,745,22,877,682,381,324,943,925,494,536,309,250,612,572,355,839,86,242,662,116,628,518,177,790,212,833,126,417,50,447,722,769,21,869,702,394,319,932,907,481,548,287,251,618,586,344,843,71,234,665,114,635,508,155,783,214,830,134,432,46,458,739,763,20,890,690,376,314,934,912,468,529,296,252,593,569,364,847,87,226,668,112,642,498,166,775,216,827,142,416,42,438,725,757,19,881,709,389,340,947,917,486,541,305,253,599,583,353,851,72,217,671,110,649,519,176,800,186,824,150,431,38,449,742,751,18,872,697,402,335,956,922,473,553,283,254,605,566,341,855,88,241,674,108,625,509,156,793,189,821,127,415,34,460,728,744,17,894,685,384,330,946,904,491,534,292,255,611,580,362,859,73,233,677,106,632,499,165,786,191,818,135,430,61,440,713,770,16,885,704,397,325,954,924,478,546,301,256,617,563,351,863,89,225,680,104,639,520,175,779,193,815,143,414,57,451,731,764,15,876,692,379,320,935,906,466,528,280,257,592,577,371,867,74,218,651,102,646,510,185,803,195,812,151,429,53,462,717,758,14,898,711,392,315,950,911,483,539,288,258,598,560,360,840,90,240,655,100,622,500,164,796,197,809,128,413,49,442,734,752,13,889,699,374,311,949,916,470,551,297,259,604,574,349,844,75,232,658,98,629,521,174,789,199,807,136,428,45,453,720,746,12,880,687,387,336,938,921,488,532,306,260,610,588,369,848,91,224,661,96,636,511,184,782,201,834,144,412,41,464,737,771,11,871,706,400,331,952,903,475,544,284,261,616,571,358,852,76,247,664,93,643,501,163,776,203,831,152,427,37,444,723,765,10,893,694,382,326,955,929,493,556,293,262,591,585,347,856,92,239,667,123,650,522,173,799,205,828,129,411,33,455,740,759,9,884,683,395,321,960,928,480,537,302,263,597,568,367,860,77,231,670,121,626,512,183,792,207,825,137,426,60,434,726,753,8,875,701,377,316,930,910,467,549,279,264,603,582,356,864,63,223,673,119,633,502,162,785,209,822,145,410,56,446,743,747,7,897,689,390,310,942,915,485,530,289,265,609,565,345,838,78,246,676,117,640,523,172,778,211,819,153,425,52,457,729,772,6,888,708,373,337,948,920,472,542,298,266,615,579,365,841,62,238,679,115,647,513,182,802,213,816,130,409,48,437,715,766,5,879,696,385,332,939,902,490,554,307,267,589,562,354,845,79,230,652,113,623,503,161,795,215,813,138,424,44,448,732,760,4,870,684,398,327,940,899,477,535,285,268,596,576,343,849,64,222,654,111,630,524,171,788,187,810,146,408,40,459,718,754,3,892,703,380,322,945,927,495,547,294,269,602,558,363,853,80,245,657,109,637,514,181,781,188,806,154,423,36,439,735,748,2,883,691,393,317,944,909,482,527,303,270,608,573,352,857,65,237,660,107,644,504,160,805,190,835,131,407,31,450,721,773,1,874,710,375,312,936,914,469,540,281,271,614,587,342,861,81,229,663,105,621,525,170,798,192,832,139,422,59,461,738,767,0,896,698,388,338,931,919,487,552,290,272,590,570,361,865,66,221,666,103,627,515,180,791,194,829,147,406,55,441,724,761,30,887,686,401,333,937,901,474,533,299,273,595,584,350,837,82,244,669,101,634,505,159,784,196,826,125,421,51,452,741,755,29,878,705,383,328,959,900,492,545,308,274,601,567,370,842,67,236,672,99,641,526,169,777,198,823,132,405,47,463,727,749,28,868,693,396,323 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 501 a + 492 b + 0 The multiplier q = 492 lies on neither branch quartic: Φ₁₀(q) = 775 and B(q) = 620 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 02:46:25 · history