Equation 677 Database

Magma 31ab9603b052…

magma 31ab9603b052
Size
961
Isomorphism class hash
31ab9603b052422de86a3bd2dc2e0652dbcb7d596cf380858b1cd1c514976216
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 02:03:01
Display reorder
940,926,469,554,309,272,619,567,359,844,80,227,673,95,631,515,163,801,212,807,124,413,35,436,726,760,3,897,696,383,335,933,916,491,548,289,256,616,560,349,842,72,231,656,96,643,520,158,789,211,823,152,421,37,446,733,763,19,886,702,392,322,949,900,482,542,300,271,613,584,370,840,64,235,670,97,624,525,184,777,210,809,148,429,39,456,740,766,4,875,708,401,340,944,911,473,536,279,255,610,577,360,837,87,239,653,98,636,499,179,796,209,826,144,406,41,434,716,769,20,895,682,379,327,943,901,495,530,291,270,607,570,350,867,79,243,667,99,648,504,174,784,208,812,140,414,43,445,723,772,5,884,689,388,314,952,906,486,555,302,254,604,563,371,865,71,247,681,100,629,509,169,803,207,829,136,422,45,455,730,745,21,873,695,397,332,931,919,477,549,282,269,601,587,361,863,62,220,664,101,641,514,164,791,206,815,132,430,47,435,737,747,6,893,701,375,319,934,924,468,543,293,253,598,580,351,861,86,224,678,102,622,519,159,779,205,832,128,407,49,444,714,750,22,882,707,384,337,960,914,490,537,304,268,595,573,342,859,78,228,661,103,634,524,185,798,204,818,125,415,51,454,720,753,7,871,683,393,324,959,904,481,531,284,252,592,566,362,857,70,232,675,104,646,498,180,786,203,835,151,423,53,464,727,756,23,891,688,402,310,956,909,472,556,295,267,590,558,352,855,63,236,658,105,627,503,175,805,202,821,147,431,55,443,734,759,8,880,694,380,329,942,922,494,550,306,251,617,583,341,853,85,240,672,106,639,508,170,793,201,806,143,408,57,453,741,762,24,868,700,389,316,953,927,485,544,286,266,614,576,363,851,77,244,655,107,621,513,165,781,200,824,139,416,59,463,717,765,9,889,706,398,334,954,917,476,538,297,250,611,569,353,849,69,218,669,108,632,518,160,800,199,810,135,424,61,442,724,768,25,878,712,376,321,939,899,467,532,308,265,608,562,343,847,92,221,651,109,644,523,156,788,198,827,131,432,31,452,731,771,10,898,687,385,339,958,912,489,557,288,248,605,586,364,845,84,225,666,110,625,496,181,775,197,813,127,409,34,462,738,774,26,887,693,394,326,950,902,480,551,299,264,602,579,354,843,76,229,680,111,637,502,176,795,196,830,154,417,36,441,713,746,11,876,699,373,313,945,907,471,545,280,249,599,572,344,841,68,233,663,112,649,507,171,783,195,816,150,425,38,451,721,749,27,896,705,381,331,951,920,493,539,290,263,596,565,365,839,91,237,677,113,630,512,166,802,194,833,146,433,40,461,728,752,12,885,711,390,318,938,925,484,533,301,278,593,559,355,838,83,241,660,114,642,517,161,790,193,819,142,410,42,440,735,755,28,874,686,399,336,936,915,475,528,281,262,589,582,345,866,75,245,674,115,623,522,155,778,192,836,138,418,44,450,742,758,13,894,692,377,323,932,905,465,552,292,277,618,575,366,864,67,217,657,116,635,497,182,797,191,822,134,426,46,460,718,761,29,883,698,386,311,955,910,488,546,303,261,615,568,356,862,90,222,671,117,647,501,177,785,190,808,130,404,48,439,725,764,14,872,704,395,328,937,923,479,540,283,276,612,561,346,860,82,226,654,118,628,506,172,804,189,825,126,411,50,449,732,767,0,892,710,372,315,947,928,470,534,294,260,609,585,367,858,74,230,668,119,640,511,167,792,188,811,153,419,52,459,739,770,15,881,685,382,333,930,918,492,527,305,275,606,578,357,856,66,234,652,120,620,516,162,780,186,828,149,427,54,438,715,773,30,870,691,391,320,957,929,483,553,285,259,603,571,347,854,89,238,665,121,633,521,157,799,187,814,145,403,56,448,722,744,16,890,697,400,338,946,913,474,547,296,274,600,564,368,852,81,242,679,122,645,526,183,787,216,831,141,412,58,458,729,748,1,879,703,378,325,948,903,466,541,307,258,597,588,358,850,73,246,662,123,626,500,178,776,215,817,137,420,60,437,736,751,17,869,709,387,312,941,908,487,535,287,273,594,581,348,848,65,219,676,94,638,505,173,794,214,834,133,428,32,447,743,754,2,888,684,396,330,935,921,478,529,298,257,591,574,369,846,88,223,659,93,650,510,168,782,213,820,129,405,33,457,719,757,18,877,690,374,317 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/961: a ◇ b = 594 a + 306 b + 0 The multiplier q = 306 lies on neither branch quartic: Φ₁₀(q) = 372 and B(q) = 589 are nonzero zero divisors, so this model exists over no integral domain.

last edited by qawbecrdtey at 2026-08-28 02:03:37 · history