Equation 677 Database

Magma b4db02b981cf…

magma b4db02b981cf
Size
961
Isomorphism class hash
b4db02b981cf8093d39238d293ecaf3108f73ef40eb64ded01bf1abcb754650f
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 02:01:26
Display reorder
953,926,468,532,306,253,613,566,369,860,71,237,671,107,635,503,157,795,193,816,128,416,44,457,729,766,13,879,687,388,334,957,924,467,552,290,265,592,579,361,846,77,234,676,114,626,507,184,804,187,811,131,410,58,435,716,756,1,895,698,389,336,959,899,465,541,305,277,602,561,353,863,83,231,681,121,648,511,180,782,210,807,134,403,41,442,734,746,20,880,709,390,338,937,905,466,530,289,258,612,574,345,849,89,228,655,97,639,515,176,791,203,832,137,429,55,450,721,767,8,896,689,391,340,931,903,495,550,304,270,591,587,368,866,64,225,660,104,630,519,172,800,196,827,140,423,38,458,739,757,27,881,700,392,310,936,901,494,539,288,251,601,569,360,852,70,222,665,111,620,523,168,778,189,822,143,417,52,434,726,747,15,897,711,393,313,944,922,493,527,303,263,611,582,352,837,76,219,670,118,643,497,164,787,213,817,146,411,35,443,714,768,3,882,691,394,315,945,920,492,548,287,275,589,564,344,855,82,247,675,93,634,500,160,796,206,812,149,405,49,451,731,758,22,898,702,395,317,940,918,491,537,302,256,600,577,367,841,88,244,680,101,625,504,155,805,199,806,152,430,31,459,718,748,10,883,683,396,319,939,916,490,557,286,268,610,558,359,858,62,241,654,108,647,508,183,783,192,833,125,424,46,436,736,769,29,869,693,397,321,948,914,489,546,301,248,590,572,351,844,69,238,659,115,638,512,179,792,216,828,127,418,60,444,723,759,17,884,704,398,323,942,912,488,535,285,261,599,585,343,861,75,235,664,122,629,516,175,801,209,823,130,412,43,452,741,749,5,868,684,399,325,930,910,487,555,300,273,609,567,366,847,81,232,669,98,621,520,171,779,202,818,133,406,57,460,728,770,24,885,695,400,327,960,908,486,544,284,254,619,580,358,864,87,229,674,105,642,524,167,788,195,813,136,431,40,437,715,760,12,870,706,401,329,955,906,485,533,299,266,598,562,350,850,63,226,679,112,633,496,163,797,188,808,139,425,54,445,733,750,0,886,686,402,331,952,927,484,553,283,278,608,575,341,867,68,223,653,119,624,501,159,776,212,834,142,419,37,453,720,771,19,871,697,373,333,938,925,483,542,298,259,618,588,365,853,74,220,658,95,646,505,156,784,205,829,145,413,51,461,738,761,7,887,708,372,335,949,929,482,531,282,271,597,570,357,839,80,218,663,102,637,509,182,793,198,824,148,407,34,438,725,751,26,872,688,374,337,950,900,481,551,297,252,607,583,349,856,86,245,668,109,628,513,178,802,191,819,151,432,48,446,743,772,14,888,699,375,339,935,904,480,540,281,264,617,565,342,842,92,242,673,116,650,517,174,780,215,814,154,426,32,454,730,762,2,873,710,376,311,954,902,479,529,296,276,596,578,364,859,67,239,678,123,641,521,170,789,208,809,126,420,45,462,717,752,21,889,690,377,312,946,923,478,549,279,257,606,560,356,845,73,236,651,99,632,525,166,798,201,835,129,414,59,439,735,773,9,874,701,378,314,956,921,477,538,295,269,616,573,348,862,79,233,657,106,623,498,162,775,194,830,132,408,42,447,722,763,28,890,712,379,316,947,919,476,528,280,250,595,586,371,848,85,230,662,113,645,502,158,785,186,825,135,433,56,455,740,753,16,875,692,380,318,934,917,475,547,294,262,605,568,363,865,91,227,667,120,636,506,185,794,211,820,138,427,39,463,727,774,4,891,703,381,320,932,915,474,536,309,274,615,581,355,851,66,224,672,96,627,510,181,803,204,815,141,421,53,440,713,764,23,876,682,382,322,943,913,473,556,293,255,594,563,347,838,72,221,677,103,649,514,177,781,197,810,144,415,36,448,732,754,11,892,694,383,324,951,911,472,545,308,267,604,576,370,854,78,217,652,110,640,518,173,790,190,836,147,409,50,456,719,745,30,877,705,384,326,933,909,471,534,292,249,614,559,362,840,84,246,656,117,631,522,169,799,214,831,150,404,33,464,737,765,18,893,685,385,328,958,907,470,554,307,260,593,571,354,857,90,243,661,94,622,526,165,777,207,826,153,428,47,441,724,755,6,878,696,386,330,941,928,469,543,291,272,603,584,346,843,65,240,666,100,644,499,161,786,200,821,124,422,61,449,742,744,25,894,707,387,332 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 129 a + 275 b + 0 The multiplier q = 275 lies on neither branch quartic: Φ₁₀(q) = 465 and B(q) = 744 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 02:02:00 · history