/*
www-ATLAS of Group Representations.
HS:2 represented as 22 x 22 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0010101600000001000000",
"0160000010100000000100",
"0000006100000006000000",
"0000010000606000000000",
"0001000000001000600000",
"0001100000001100600000",
"0001100610001100600000",
"0610001061000000100600",
"0000000000006000000000",
"0610001060010000100600",
"0000000000600000000000",
"0000000000000001000000",
"0001060001101000060001",
"0000000000000100000000",
"0160006010000000000100",
"0000000000000106010000",
"0000000000101000001000",
"6010001060000601100000",
"1066000010006000000110",
"0000016006600116610000"]);

y:=CambridgeMatrix(1,F,22,[
"1000000000000000000000",
"0010000000000000000000",
"0000010000000000000000",
"0001006101000006060001",
"1666660000010006000010",
"0000000100000000000000",
"6111110000060001600066",
"0001000000001000600000",
"6001110000001010600000",
"0010101600000001000000",
"0000000000000000006000",
"0000000000010000000000",
"0000001000000000000000",
"0011000000000060000660",
"0011101600000601066000",
"0000000000000000010000",
"0601000101000006060001",
"0000000001000000000000",
"6000016160000010001000",
"0000010000606000000000",
"0000606100000006000001",
"0006000000000000010006"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is HS:2 < GL(22,GF(7))";