/*
www-ATLAS of Group Representations.
S7 represented as 13 x 13 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"1000000000000",
"0000100000000",
"2101000000000",
"0010000000000",
"0000000010000",
"1210201000000",
"0000000000010",
"0000010000000",
"2120120011000",
"2100020010100",
"0000000100000",
"0020100100021"]);

y:=CambridgeMatrix(1,F,13,[
"0010000000000",
"0001000000000",
"0000010000000",
"0000001000000",
"0000000100000",
"0000000001000",
"0000000000100",
"0200220200000",
"2012001211200",
"2120000002100",
"0000000000001",
"0020220001211",
"2201002002201"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is S7 < GL(13,GF(3))";