Equation 677 Database

Magma cbb689a57842…

magma cbb689a57842
Size
961
Isomorphism class hash
cbb689a578422611e225959e8e1b84f0a012c5f49cbbaa7a0b9272e849fb66f1
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 03:12:36
Display reorder
940,926,493,555,300,272,605,586,366,862,87,225,666,104,642,510,176,803,192,811,144,411,53,459,718,756,11,895,710,385,323,934,929,476,554,307,259,590,558,354,841,65,236,658,99,644,516,170,801,197,819,133,433,43,440,713,772,24,888,711,402,326,939,905,490,553,283,277,604,563,341,851,74,247,681,93,646,522,164,799,202,827,153,424,33,452,741,757,6,881,712,388,329,932,902,473,552,290,264,619,567,361,861,83,227,673,120,648,496,158,797,207,835,142,415,54,464,737,773,19,874,683,374,332,948,922,487,551,297,251,603,571,349,840,92,238,665,115,650,503,183,795,212,812,131,406,44,445,733,758,1,898,682,391,335,943,919,470,550,304,269,618,575,368,850,70,217,657,110,620,509,177,793,187,820,151,428,34,457,729,774,14,891,684,377,338,942,916,484,549,279,256,602,579,356,860,79,229,680,105,623,515,171,791,191,828,140,419,55,438,725,759,27,884,685,394,311,951,913,467,548,287,274,617,583,344,839,88,240,672,100,625,521,165,789,196,836,129,410,45,450,721,745,9,877,686,380,313,930,910,481,547,294,261,601,587,363,849,66,220,664,95,627,497,159,787,201,813,149,432,35,462,717,760,22,870,687,397,316,933,907,495,546,301,249,616,560,351,859,75,231,656,121,629,502,184,785,206,821,138,423,56,443,714,744,4,894,688,383,319,960,927,478,545,308,266,600,564,370,837,84,242,679,116,631,508,178,783,211,829,127,414,46,455,740,761,17,887,689,400,322,958,924,492,544,284,253,615,568,358,848,63,222,671,111,633,514,172,781,216,807,147,405,36,436,736,746,30,880,690,386,325,955,900,475,543,291,271,599,572,346,858,71,233,663,106,635,520,166,779,190,814,136,427,57,448,732,762,12,873,691,373,328,941,903,489,542,298,258,614,576,365,838,80,244,655,101,637,526,160,777,195,822,124,418,47,460,728,747,25,897,692,389,331,952,923,472,541,305,276,598,580,353,847,89,224,678,96,639,501,185,776,200,830,145,409,37,441,724,763,7,890,693,375,334,953,920,486,540,281,263,613,584,342,857,67,235,670,122,641,507,179,804,205,806,134,431,58,453,720,748,20,883,694,392,337,938,917,469,539,288,250,597,588,360,867,76,246,662,117,643,513,173,802,210,815,154,422,48,435,716,764,2,876,695,378,340,957,914,483,538,295,268,612,561,348,846,85,226,654,112,645,519,167,800,215,823,143,413,38,446,743,749,15,868,696,395,312,949,911,465,537,302,255,596,565,367,856,62,237,677,107,647,525,161,798,189,831,132,403,59,458,739,765,28,893,697,381,315,959,908,480,536,309,273,611,569,355,866,72,218,669,102,649,500,156,796,194,808,152,426,49,439,735,750,10,886,698,398,318,950,928,494,535,285,260,595,573,343,845,81,228,661,97,621,506,180,794,199,816,141,417,39,451,731,766,23,879,699,384,321,937,925,477,534,292,278,610,577,362,855,90,239,653,123,622,512,174,792,204,824,130,408,60,463,727,751,5,872,700,401,324,935,899,491,533,299,265,594,581,350,865,68,219,676,118,624,518,168,790,209,832,150,430,50,444,723,767,18,896,701,387,327,931,904,474,532,306,252,609,585,369,844,77,230,668,113,626,524,162,788,214,809,139,421,40,456,719,752,0,889,702,372,330,954,901,488,531,282,270,593,559,357,854,86,241,660,108,628,499,155,786,188,817,128,412,61,437,715,768,13,882,703,390,333,936,921,471,530,289,257,608,562,345,864,64,221,651,103,630,505,181,784,193,825,148,404,51,449,742,753,26,875,704,376,336,946,918,485,529,296,275,592,566,364,843,73,232,675,98,632,511,175,782,198,833,137,425,41,461,738,769,8,869,705,393,339,944,915,468,527,303,262,607,570,352,853,82,243,667,94,634,517,169,780,203,810,126,416,32,442,734,754,21,892,706,379,310,956,912,482,528,280,248,591,574,371,863,91,223,659,119,636,523,163,778,208,818,146,407,52,454,730,770,3,885,707,396,314,945,909,466,557,286,267,606,578,359,842,69,234,652,114,638,498,157,775,213,826,135,429,42,434,726,755,16,878,708,382,317,947,906,479,556,293,254,589,582,347,852,78,245,674,109,640,504,182,805,186,834,125,420,31,447,722,771,29,871,709,399,320 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 904 a + 647 b + 0 The multiplier q = 647 lies on neither branch quartic: Φ₁₀(q) = 310 and B(q) = 806 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 03:13:15 · history