Equation 677 Database

Magma 5e89855cfcc8…

magma 5e89855cfcc8
Size
729
Isomorphism class hash
5e89855cfcc8c7834c51a374be0691e2267d2f40a9200e035e0edc280eac2c6f
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Fiber matrix
symmetric: yes · normal: yes · rank: 1 (nullity 728) what is this?
Submitted by
qawbecrdtey
Submitted at
2026-08-28 08:31:27
Display reorder
728,709,705,711,704,706,707,710,708,720,671,693,653,660,712,681,678,702,725,689,667,685,698,674,648,716,656,723,683,655,665,672,662,695,696,714,724,715,673,697,666,649,663,684,688,726,657,699,717,686,668,675,690,650,727,651,687,691,718,700,669,658,676,722,703,661,679,654,694,713,664,682,721,677,719,659,692,680,701,652,670,644,256,241,219,270,231,253,288,273,614,261,238,225,267,228,249,287,280,584,260,245,224,266,235,246,283,276,628,257,242,221,271,232,254,289,274,622,262,239,226,268,229,250,285,281,592,258,243,222,264,236,247,284,277,636,255,240,220,272,233,252,290,275,606,263,237,227,269,230,251,286,279,600,259,244,223,265,234,248,282,278,632,97,112,109,131,146,77,90,129,596,101,115,104,135,139,80,91,121,626,96,119,108,136,143,83,86,125,73,99,114,111,130,145,78,89,128,588,100,117,103,134,141,79,93,123,618,95,118,107,138,142,82,85,124,640,98,113,110,132,75,76,88,127,580,102,116,105,133,140,81,92,122,610,94,120,106,137,144,84,87,126,638,396,364,399,426,414,385,419,375,630,398,363,401,434,416,384,418,377,646,397,365,400,433,415,386,417,376,608,393,371,407,431,413,381,423,374,624,395,370,406,430,412,383,425,373,616,394,369,405,432,411,382,424,372,602,392,367,403,428,409,388,420,378,594,391,366,402,427,408,387,422,380,586,390,368,404,429,410,389,421,379,74,448,505,489,473,437,487,470,458,595,452,499,494,474,439,480,463,460,609,446,503,495,479,443,485,465,453,579,450,500,492,475,440,481,464,461,617,444,504,496,477,441,483,466,454,631,449,506,490,471,435,488,468,456,625,445,502,497,478,442,484,467,455,639,447,498,491,472,436,486,469,457,587,451,501,493,476,438,482,462,459,641,51,56,12,34,37,71,22,1,619,48,62,9,31,42,66,19,7,597,45,59,15,28,40,63,25,4,589,47,58,17,27,39,65,24,3,633,53,55,14,33,36,70,21,0,611,50,61,11,30,44,68,18,6,603,49,60,10,32,43,67,20,8,581,46,57,16,29,41,64,26,5,72,52,54,13,35,38,69,23,2,647,509,542,530,520,561,545,559,577,634,507,540,528,521,562,543,560,578,642,508,541,529,519,563,544,558,576,590,510,534,531,524,565,546,552,572,598,511,535,532,522,566,547,553,570,582,512,536,533,523,564,548,554,571,620,514,538,526,516,569,549,555,573,604,515,539,527,517,567,550,556,574,612,513,537,525,518,568,551,557,575,629,346,343,361,291,312,304,329,326,585,348,338,355,296,317,307,332,318,607,351,341,358,299,309,302,335,321,615,352,339,359,297,310,300,333,322,637,347,344,362,292,313,305,327,324,593,349,336,356,294,315,308,330,319,601,350,337,354,295,316,306,331,320,623,353,340,357,298,311,301,334,323,645,345,342,360,293,314,303,328,325,635,218,161,200,168,180,202,148,183,621,213,156,195,167,178,209,154,190,583,211,163,194,173,174,204,152,188,613,215,158,197,166,177,208,153,189,599,210,162,193,172,176,206,151,187,627,217,160,199,170,182,201,149,185,591,212,164,192,171,175,205,150,186,643,216,159,198,169,181,203,147,184,605,214,157,196,165,179,207,155,191 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring T_2(F_9 = F_3[t]/(t^2 + 1)), upper triangular 2x2: a ◇ b = [1,2;0,1] a + [t + 2,1;0,t + 2] b + [0,0;0,0]

last edited by qawbecrdtey at 2026-08-28 08:38:01 · history