Equation 677 Database

Magma 4d7f3f1ef0fc…

magma 4d7f3f1ef0fc
Size
961
Isomorphism class hash
4d7f3f1ef0fcf96a9a4c48af3ca1d5ac3799ded6665c47ae0ed123bf10568dd2
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 03:42:29
Display reorder
960,926,476,553,283,269,603,560,341,847,91,222,657,111,636,504,173,805,215,833,148,433,31,444,723,769,26,869,708,392,328,935,923,486,539,288,273,596,585,360,863,63,221,669,103,633,526,182,777,192,821,149,431,47,457,729,744,22,894,691,382,339,932,912,466,556,293,277,590,579,347,848,64,220,681,95,630,517,160,780,200,809,150,429,32,439,735,752,18,889,705,373,319,953,924,475,542,298,250,613,573,365,864,66,219,662,118,627,508,169,783,208,828,151,427,46,452,741,759,14,884,688,393,330,944,921,485,527,303,254,606,567,352,849,68,217,674,110,624,499,178,786,216,816,152,425,61,435,716,766,10,879,702,383,311,930,910,495,545,308,258,599,561,370,865,70,218,655,102,620,521,155,789,193,835,153,423,45,447,722,773,6,874,685,372,321,950,899,474,531,282,262,592,586,357,850,72,247,667,93,649,512,165,792,201,823,154,421,60,460,728,749,2,868,699,394,332,934,919,484,548,287,266,616,580,344,866,74,246,679,117,646,503,174,795,209,811,125,419,44,442,734,756,29,895,683,384,312,941,908,494,534,292,270,609,574,362,851,76,245,660,109,643,525,183,798,187,830,124,417,59,455,740,763,25,890,696,374,323,936,905,473,551,297,274,602,568,349,867,78,244,672,101,640,516,161,801,194,818,126,415,43,437,715,770,21,885,710,395,334,942,917,483,537,302,278,595,562,367,852,80,243,653,94,637,507,170,804,202,807,127,413,58,450,721,746,17,880,693,385,314,949,906,493,554,307,251,619,587,354,838,82,242,665,116,634,498,179,775,210,825,128,411,42,463,727,753,13,875,707,375,325,947,903,472,540,281,255,612,581,342,853,84,241,677,108,631,520,157,779,186,813,129,409,57,445,733,760,9,870,690,396,336,958,915,482,557,286,259,605,575,359,837,86,240,658,100,628,511,166,782,195,832,130,407,41,458,739,767,5,896,704,386,316,931,927,492,543,291,263,598,569,346,854,88,239,670,123,625,502,175,785,203,820,131,405,56,440,713,774,1,891,687,376,327,948,901,471,529,296,267,591,563,364,839,90,238,652,115,622,524,184,788,211,808,132,404,40,453,720,750,28,886,701,397,338,938,913,481,546,301,271,615,588,351,855,92,237,663,107,650,515,162,791,188,827,133,432,55,434,726,757,24,881,684,387,318,956,925,491,532,306,275,608,582,369,840,62,236,675,99,647,506,171,794,196,815,134,430,39,448,732,764,20,876,698,377,329,933,922,470,549,279,249,601,576,356,856,65,235,656,122,644,496,180,797,204,834,135,428,54,461,738,771,16,871,712,398,340,937,911,480,535,285,252,594,570,343,841,67,234,668,114,641,519,158,800,212,822,136,426,38,443,714,747,12,897,695,388,320,939,929,490,552,290,256,618,564,361,857,69,233,680,106,638,510,167,803,189,810,137,424,53,456,719,754,8,892,709,378,331,952,920,469,538,295,260,611,559,348,842,71,232,661,98,635,501,176,776,197,829,138,422,37,438,725,761,4,887,692,399,310,946,909,479,555,300,264,604,583,366,858,73,231,673,121,632,523,185,778,205,817,139,420,52,451,731,768,0,882,706,389,322,951,900,489,541,305,268,597,577,353,843,75,230,654,113,629,514,163,781,213,836,140,418,36,464,737,745,27,877,689,379,333,959,918,468,528,280,272,589,571,371,859,77,229,666,105,626,505,172,784,190,824,141,416,51,446,743,751,23,872,703,400,313,940,907,478,544,284,276,614,565,358,844,79,228,678,97,623,497,181,787,198,812,142,414,35,459,718,758,19,898,686,390,324,955,904,488,530,289,248,607,558,345,860,81,227,659,120,621,518,159,790,206,831,143,412,50,441,724,765,15,893,700,380,335,954,916,467,547,294,253,600,584,363,845,83,226,671,112,648,509,168,793,214,819,144,410,34,454,730,772,11,888,682,401,315,943,928,477,533,299,257,593,578,350,861,85,225,651,104,645,500,177,796,191,806,145,408,49,436,736,748,7,883,697,391,326,957,902,487,550,304,261,617,572,368,846,87,224,664,96,642,522,156,799,199,826,146,406,33,449,742,755,3,878,711,381,337,945,914,465,536,309,265,610,566,355,862,89,223,676,119,639,513,164,802,207,814,147,403,48,462,717,762,30,873,694,402,317 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 284 a + 926 b + 0 The multiplier q = 926 lies on neither branch quartic: Φ₁₀(q) = 434 and B(q) = 372 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 03:44:44 · history