/*
www-ATLAS of Group Representations.
S7 represented as 13 x 13 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"1000000000000",
"0001000000000",
"0010000000000",
"0000001000000",
"0000000010000",
"0000100000000",
"1414134120000",
"0000010000000",
"0000000000001",
"3232342014101",
"2323203001014",
"0000000001000"]);

y:=CambridgeMatrix(1,F,13,[
"0010000000000",
"0440000000000",
"0000100000000",
"0000010000000",
"0000000100000",
"0000000001000",
"0000000000100",
"0000000000010",
"0101433434440",
"4211401342203",
"3143302314011",
"1040100400010",
"0104144442034"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is S7 < GL(13,GF(5))";