Equation 677 Database

Magma c530be990d5c…

magma c530be990d5c
Size
605
Isomorphism class hash
c530be990d5c640dddc16dc2edd2a60b407c86f201096633de0acfa7d9e72312
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
yes
Submitted by
dwrensha
Submitted at
2026-08-12 15:34:27
Display reorder
0,1,281,152,133,413,93,169,127,132,163,19,141,120,173,14,171,134,143,275,476,16,131,145,562,365,167,91,27,26,278,142,367,410,165,136,121,604,18,138,366,159,168,24,166,155,409,126,118,282,17,475,164,4,563,477,157,172,560,148,89,151,274,122,158,25,474,411,2,283,559,161,12,147,162,115,150,15,280,23,128,156,139,92,154,9,20,137,478,146,11,276,160,412,117,10,22,561,153,170,129,279,368,90,277,364,123,125,116,21,130,140,119,13,135,149,28,114,3,124,144,197,213,403,350,464,315,112,441,74,468,502,430,341,382,445,580,453,33,333,407,49,572,472,182,215,239,284,100,479,483,541,337,251,307,292,45,378,5,564,37,235,518,300,491,288,271,311,78,520,545,568,53,296,201,231,65,263,449,223,190,108,267,557,374,346,487,57,323,209,395,227,510,598,174,506,532,358,576,553,414,70,354,329,96,362,590,426,41,61,178,602,549,514,319,524,586,418,219,259,437,460,391,247,104,399,243,370,82,528,422,456,325,386,594,29,255,495,536,205,86,186,212,208,544,258,459,310,107,436,69,463,517,425,336,377,440,575,448,48,328,548,64,567,467,177,230,234,299,95,494,498,390,332,246,322,287,40,373,8,579,32,250,513,295,486,303,353,306,73,535,394,583,68,291,196,226,60,345,444,218,185,103,349,406,369,254,482,52,318,204,556,222,505,593,189,501,527,266,571,402,429,85,262,324,111,270,585,421,36,56,193,597,398,509,314,519,601,433,214,361,452,455,552,242,99,540,238,385,77,523,417,471,340,381,589,44,357,490,531,200,81,181,202,198,554,268,469,320,97,446,79,473,507,415,326,387,450,565,438,38,338,558,54,577,457,187,220,244,289,105,484,488,400,342,236,312,297,30,383,6,569,42,240,503,285,496,293,363,316,83,525,404,573,58,301,206,216,50,355,434,228,175,113,359,396,379,264,492,62,308,194,546,232,515,603,179,511,537,256,581,392,419,75,272,334,101,260,595,431,46,66,183,587,408,499,304,529,591,423,224,351,442,465,542,252,109,550,248,375,87,533,427,461,330,371,599,34,347,480,521,210,71,191,207,203,393,360,454,305,102,451,84,458,512,420,331,372,435,570,443,43,343,397,59,582,462,192,225,249,294,110,489,493,551,327,241,317,302,35,388,7,574,47,245,508,290,481,298,261,321,88,530,555,578,63,286,211,221,55,273,439,233,180,98,257,547,384,356,497,67,313,199,405,217,500,588,184,516,522,348,566,543,424,80,344,339,106,352,600,416,31,51,188,592,539,504,309,534,596,428,229,269,447,470,401,237,94,389,253,380,72,538,432,466,335,376,584,39,265,485,526,195,76,176 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Direct product of the size-5 linear magma magma#e549b5f8 (x ◇ y = 2x + 4y over F_5) and the size-121 twisted AG(2,11) magma magma#18db3d82. Element k encodes the pair (i, j) with i in Z/5, j in {0..120}, via k = 121*i + j; the operation acts coordinatewise. First magma in the database at size 605 = 5 * 11^2. Verified by brute force over all 605^2 pairs: satisfies 677 and 255, right-cancellative, idempotent. Since the 121-factor is a genuinely twisted (non-linear) magma, this product is not linear; it inherits the twisted parallel-class structure of magma#18db3d82 on each of the 5 fibres. [text written by Claude]

last edited by dwrensha at 2026-08-12 15:35:16 · history