/*
www-ATLAS of Group Representations.
M12:2 represented as 30 x 30 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"100000000000000000000000000000",
"000100000000000000000000000000",
"001000000000000000000000000000",
"000001000000000000000000000000",
"000010000000000000000000000000",
"000000001000000000000000000000",
"000000000100000000000000000000",
"000000100000000000000000000000",
"000000010000000000000000000000",
"000000000000010000000000000000",
"000000000000001000000000000000",
"000000000000000010000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000000000001000000000",
"000000000000100000000000000000",
"000000000000000000000010000000",
"112021201001021000220000000000",
"001221201020010000010000000000",
"000000000000000100000000000000",
"000000000000000000000001000000",
"000000000000000001000000000000",
"000000000000000000000100000000",
"000000000000000000000000000100",
"220220012001102000201100001000",
"220022001202020220220002010000",
"000000000000000000000000100000",
"000000000000000000000000000001",
"000000000000000000000000000010"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"022000000000000000000000000000",
"121000000000000000000000000000",
"000010000000000000000000000000",
"000000100000000000000000000000",
"000000010000000000000000000000",
"000100000000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000100000000000000000",
"000001000000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000000000000000100000000000",
"000000000000000000010000000000",
"000000001000000000000000000000",
"000000000000000000000100000000",
"000000000100000000000000000000",
"021010202000012100010000000000",
"201100202001010000210000000000",
"110210200000010000020010000000",
"000000000000000000000000100000",
"000000000000000000000000010000",
"000000000000000000000000001000",
"000000000000000010000000000000",
"001200201000022200021000000000",
"020112022021000010122122122000",
"000000000000000000000000000010",
"100101011111111121101210210220",
"110210222010010100022000010211"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is M12:2 < GL(30,GF(3))";