/*
www-ATLAS of Group Representations.
M11 represented as 16 x 16 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,16,[
"0100000000000010",
"1000000000002000",
"0001000000001040",
"0010000000003030",
"0000001000002040",
"0000000100003030",
"0000100000003010",
"0000010000001040",
"0000000000012030",
"0000000000001130",
"0000000000001041",
"0000000010001010",
"0000000000000020",
"0000000001001030",
"0000000000003000",
"0000000000103030"]);

y:=CambridgeMatrix(1,F,16,[
"1410002000010301",
"0400004300040304",
"4000100400020001",
"0000014000000104",
"1000000200040204",
"0000003210010201",
"0000002301020400",
"0000003200120004",
"0000000200041201",
"0000003100040313",
"0000000100020103",
"0000002200030104",
"0001000100020004",
"0000000000040102",
"0000000100030302",
"0000001300010402"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is M11 < GL(16,GF(5))";