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

F:=GF(5);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0001000000000000",
"0010000000000000",
"0000001000000000",
"0000000100000000",
"0000100000000000",
"0000010000000000",
"0000000000010000",
"0000000000000100",
"0000000000000001",
"0000000010000000",
"0213233121110133",
"0000000001000000",
"1043431433412303",
"0000000000100000"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0440000000000000",
"0000100000000000",
"0000010000000000",
"1040100000000000",
"0000000010000000",
"0000000001000000",
"0000000000100000",
"0000000000001000",
"0000000000000010",
"2021402014033442",
"4224043311200142",
"0001000000000000",
"3410444213110434",
"2404032303020001",
"2032030401300341"]);

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