Equation 677 Database

Magma cd5936fa4e62…

magma cd5936fa4e62
Size
961
Isomorphism class hash
cd5936fa4e620416c426bbf83283c230d3c9ff2eb36e2e1a21bfa6935a95a246
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 02:50:35
Display reorder
958,926,495,537,302,276,618,569,367,851,92,229,678,105,650,518,180,790,213,823,149,423,50,448,732,749,22,868,692,386,337,937,921,473,543,291,261,589,576,346,853,69,225,664,104,638,513,185,802,214,807,153,415,48,438,725,746,6,880,686,377,319,940,908,482,549,279,277,593,583,356,855,77,221,681,103,626,508,159,783,215,820,126,407,46,459,718,774,21,891,711,399,332,960,903,491,555,300,262,596,558,366,857,85,218,667,102,645,503,164,795,216,834,130,430,44,449,742,771,5,871,705,390,314,950,913,469,530,289,278,599,566,345,859,63,244,653,101,633,498,169,775,187,817,134,422,42,439,735,768,20,882,699,381,327,947,929,478,536,309,263,602,573,355,861,70,240,670,100,620,524,174,788,186,831,138,414,40,460,728,765,4,893,693,373,340,933,918,487,542,298,249,605,580,365,863,78,236,656,99,640,519,179,800,188,814,142,406,38,450,721,762,19,873,687,394,322,959,928,466,548,287,264,608,587,344,865,86,232,673,98,628,514,184,781,189,828,146,429,36,440,713,759,3,884,712,385,335,945,923,474,554,307,248,611,563,354,867,62,228,659,97,647,509,158,793,190,811,150,421,34,461,738,756,18,895,706,376,317,930,910,483,529,296,265,614,570,364,837,71,224,676,96,635,504,163,805,191,825,154,413,31,451,731,753,2,875,700,398,330,949,905,492,535,285,250,617,577,343,840,79,220,662,95,623,499,168,786,192,808,127,405,61,441,724,750,17,886,694,389,312,956,915,470,541,305,266,590,584,353,842,87,247,679,93,642,525,173,798,193,822,131,428,59,462,717,747,1,897,688,380,325,951,925,479,547,294,251,592,560,363,844,64,243,665,94,630,520,178,779,194,836,135,420,57,452,741,745,16,877,683,402,338,957,920,488,553,283,267,595,567,341,846,72,239,652,123,649,515,183,791,195,819,139,412,55,442,734,772,0,888,707,393,320,944,907,465,527,303,252,598,574,352,848,80,235,668,122,637,510,157,803,196,833,143,403,53,463,727,769,15,869,701,384,333,942,902,475,534,292,268,601,581,362,850,88,231,654,121,625,505,162,784,197,816,147,427,51,453,720,766,30,879,695,375,315,938,912,484,540,281,253,604,588,342,852,65,227,671,120,644,500,167,796,198,830,151,419,49,443,714,763,14,890,689,397,328,946,899,493,546,301,269,607,564,351,854,73,223,657,119,632,526,172,777,199,813,125,411,47,464,737,760,29,870,682,388,311,943,917,471,552,290,254,610,571,361,856,81,219,674,118,621,521,177,789,200,827,128,404,45,454,730,757,13,881,708,379,323,953,927,480,528,280,270,613,578,371,858,89,246,660,117,639,516,182,801,201,810,132,426,43,444,723,754,28,892,702,401,336,936,922,489,533,299,255,616,585,350,860,66,242,677,116,627,511,155,782,202,824,136,418,41,435,716,751,12,872,696,392,318,948,909,467,539,288,271,619,561,360,862,74,238,663,115,646,506,161,794,203,806,140,410,39,455,740,748,27,883,690,383,331,952,904,476,545,308,256,591,568,370,864,82,234,680,114,634,501,166,776,204,821,144,433,37,445,733,744,11,894,684,374,313,954,914,485,551,297,272,594,575,349,866,90,230,666,113,622,497,171,787,205,835,148,425,35,434,726,773,26,874,709,396,326,932,924,494,557,286,257,597,582,359,838,67,226,651,112,641,522,176,799,206,818,152,417,33,456,719,770,10,885,703,387,339,941,919,472,532,306,273,600,559,369,839,75,222,669,111,629,517,181,780,207,832,124,409,32,446,743,767,25,896,697,378,321,931,906,481,538,295,258,603,565,348,841,83,217,655,110,648,512,156,792,208,815,129,432,60,436,736,764,9,876,691,400,334,939,901,490,544,284,274,606,572,358,843,91,245,672,109,636,507,160,804,209,829,133,424,58,457,729,761,24,887,685,391,316,955,911,468,550,304,259,609,579,368,845,68,241,658,108,624,502,165,785,210,812,137,416,56,447,722,758,8,898,710,382,329,935,900,477,556,293,275,612,586,347,847,76,237,675,107,643,496,170,797,211,826,141,408,54,437,715,755,23,878,704,372,310,934,916,486,531,282,260,615,562,357,849,84,233,661,106,631,523,175,778,212,809,145,431,52,458,739,752,7,889,698,395,324 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 470 a + 554 b + 0 The multiplier q = 554 lies on neither branch quartic: Φ₁₀(q) = 589 and B(q) = 310 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 02:52:45 · history