Equation 677 Database

Magma 1b5f9d831f68…

magma 1b5f9d831f68
Size
961
Isomorphism class hash
1b5f9d831f68aa0ddace78ac6e5b32c5e4785183f402439bac5a611d2c3d102e
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 03:40:58
Display reorder
948,926,484,543,291,254,593,585,346,865,80,238,674,115,637,505,158,784,206,819,137,419,51,462,717,772,8,888,698,396,322,956,914,474,557,286,250,600,560,359,849,78,239,662,123,640,514,180,781,198,831,136,421,36,449,742,765,12,893,684,375,310,937,902,495,540,281,277,607,566,342,864,76,240,681,100,643,523,171,778,190,812,135,423,52,436,736,758,16,898,701,385,331,952,928,485,554,307,273,614,572,354,848,74,241,669,108,646,501,162,776,213,824,134,425,37,454,730,751,20,872,687,395,320,951,916,475,537,302,269,589,578,367,863,72,242,657,116,649,510,184,803,205,836,133,427,53,441,724,745,24,877,704,374,340,940,904,466,551,297,265,597,584,349,847,70,243,676,94,620,519,175,800,197,817,132,429,38,459,718,768,28,882,690,384,329,954,907,486,534,292,261,604,558,362,862,68,244,664,101,624,496,166,797,189,829,131,431,54,446,743,761,1,887,707,394,318,957,918,476,548,287,257,611,565,344,846,66,245,651,109,627,506,157,794,212,810,130,433,39,464,737,754,5,892,693,372,338,960,900,465,531,282,253,618,571,357,861,64,246,671,117,630,515,179,791,204,822,129,403,55,451,731,747,9,897,710,383,327,932,909,487,545,308,248,594,577,370,845,63,247,659,93,633,524,170,788,196,834,128,406,40,438,725,771,13,871,696,393,316,944,920,477,527,303,276,601,583,352,860,91,218,678,102,636,502,161,785,188,815,127,408,56,456,719,764,17,876,683,373,336,950,929,467,542,298,272,608,559,365,844,89,217,666,110,639,511,183,782,211,827,126,410,41,443,714,757,21,881,699,382,325,941,911,488,556,293,268,615,564,347,859,87,219,654,118,642,520,174,779,203,808,124,412,57,461,738,750,25,886,685,392,314,942,922,478,539,288,264,591,570,360,843,85,220,673,95,645,498,165,775,195,820,125,414,42,448,732,774,29,891,702,402,334,947,925,468,553,283,260,598,576,341,858,83,221,661,103,648,507,155,804,186,832,154,416,58,434,726,767,2,896,688,381,323,931,913,489,536,309,256,605,582,355,842,81,222,680,111,621,516,178,801,210,813,153,418,43,453,720,760,6,870,705,391,312,938,901,479,550,304,252,612,588,368,857,79,223,668,119,623,525,169,798,202,825,152,420,59,440,713,753,10,875,691,401,332,933,927,469,533,299,249,619,563,350,841,77,224,656,96,626,503,160,795,194,807,151,422,44,458,739,746,14,880,708,380,321,939,915,490,547,294,275,595,569,363,856,75,225,675,104,629,512,182,792,187,818,150,424,60,445,733,770,18,885,694,390,311,946,903,480,530,289,271,602,575,345,840,73,226,663,112,632,521,173,789,209,830,149,426,45,463,727,763,22,890,711,400,330,959,906,470,544,284,267,609,581,358,855,71,227,652,120,635,499,164,786,201,811,148,428,61,450,721,756,26,895,697,379,319,955,917,491,528,280,263,616,587,371,839,69,228,670,97,638,508,156,783,193,823,147,430,46,437,715,749,30,868,682,389,339,943,905,481,541,305,259,592,562,353,854,67,229,658,105,641,517,177,780,216,835,146,432,32,455,740,773,3,874,700,399,328,945,908,471,555,300,255,599,568,366,837,65,230,677,113,644,526,168,777,208,816,145,404,47,442,734,766,7,879,686,378,317,935,919,492,538,295,251,606,574,348,853,62,231,665,121,647,504,159,805,200,828,144,405,31,460,728,759,11,884,703,388,337,953,899,482,552,290,278,613,580,361,838,92,232,653,98,650,513,181,802,192,809,143,407,48,447,722,752,15,889,689,398,326,930,910,472,535,285,274,590,586,343,852,90,233,672,106,622,522,172,799,215,821,142,409,33,435,716,744,19,894,706,377,315,934,921,493,549,279,270,596,561,356,867,88,234,660,114,625,500,163,796,207,833,141,411,49,452,741,769,23,869,692,387,335,936,924,483,532,306,266,603,567,369,851,86,235,679,122,628,509,185,793,199,814,140,413,34,439,735,762,27,873,709,397,324,949,912,473,546,301,262,610,573,351,866,84,236,667,99,631,518,176,790,191,826,139,415,50,457,729,755,0,878,695,376,313,958,923,494,529,296,258,617,579,364,850,82,237,655,107,634,497,167,787,214,806,138,417,35,444,723,748,4,883,712,386,333 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 780 a + 895 b + 0 The multiplier q = 895 lies on neither branch quartic: Φ₁₀(q) = 527 and B(q) = 527 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 03:41:31 · history