Equation 677 Database

Magma 162529d9c57b…

magma 162529d9c57b
Size
427
Isomorphism class hash
162529d9c57b55e323e72caf9d3ce51fabbdd0c4f93c2601510abf1ad60ddbde
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Fiber matrix
symmetric: yes · normal: yes · rank: 1 (nullity 426) what is this?
Submitted by
qawbecrdtey
Submitted at
2026-08-27 16:14:46
Display reorder
426,416,409,423,402,379,406,415,395,420,372,389,399,380,398,376,378,370,413,400,424,412,382,388,392,401,373,417,391,367,369,374,371,386,422,368,396,387,393,377,407,419,405,408,375,383,381,403,385,404,394,366,425,390,410,411,384,397,418,414,421,362,177,163,158,174,179,169,122,142,164,165,154,137,172,162,160,153,146,175,123,176,157,133,136,148,156,140,170,173,134,171,126,132,128,125,178,143,161,121,135,144,131,168,130,159,166,147,149,127,120,167,152,151,155,138,124,141,129,145,150,139,365,56,42,37,53,58,48,2,21,43,44,33,17,51,41,39,32,25,54,3,55,36,13,16,27,35,59,49,52,14,50,6,12,8,5,57,22,40,1,15,23,11,47,10,38,45,26,28,7,0,46,31,30,34,18,4,20,9,24,29,19,361,117,103,98,114,119,109,62,82,104,105,94,77,112,102,100,93,86,115,63,116,97,73,76,88,96,80,110,113,74,111,66,72,68,65,118,83,101,61,75,84,71,108,70,99,106,87,89,67,60,107,92,91,95,78,64,81,69,85,90,79,364,297,283,278,294,299,289,242,262,284,285,274,257,292,282,280,273,266,295,243,296,277,253,256,268,276,260,290,293,254,291,246,252,248,245,298,263,281,241,255,264,251,288,250,279,286,267,269,247,240,287,272,271,275,258,244,261,249,265,270,259,363,237,223,218,234,239,229,182,202,224,225,214,197,232,222,220,213,206,235,183,236,217,193,196,208,216,200,230,233,194,231,186,192,188,185,238,203,221,181,195,204,191,228,190,219,226,207,209,187,180,227,212,211,215,198,184,201,189,205,210,199,360,357,343,338,354,359,349,303,322,344,345,334,318,352,342,340,333,326,355,304,356,337,314,317,328,336,300,350,353,315,351,307,313,309,306,358,323,341,301,316,324,312,348,311,339,346,327,329,308,302,347,332,331,335,319,305,321,310,325,330,320 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

In ring Z/427 = Z/7 × Z/61: a ◇ b = (4, 10) a + (3, 52) b + (0, 0) Product of baf8b55c9a489d3c0ce2405b9167b3a08aada73c1917019843910c3cbab0f48d and f2d8c865ef19ddeb3586c5e0c70736a75bdf8ec0a3800b79887e7edd09fba180

last edited by qawbecrdtey at 2026-08-27 16:14:48 · history