/*
www-ATLAS of Group Representations.
O7(3) represented as 27 x 27 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"211000000000000000000000000",
"000010000000000000000000000",
"000100000000000000000000000",
"000000010000000000000000000",
"000000000100000000000000000",
"000001000000000000000000000",
"000000000000100000000000000",
"000000100000000000000000000",
"000121020010000000000000000",
"000120100201000000000000000",
"000000001000000000000000000",
"000000000000000000100000000",
"210120202100101000000000000",
"120212010000020100100000000",
"000000000000000010000000000",
"000210201100210001200000000",
"000000000000010000000000000",
"120122011000210000210000000",
"000121021000210000201000000",
"210212011000210000200100000",
"120002110200020000100010000",
"210212011000210000200001000",
"120212012000120000100000100",
"000000000000020000100000010",
"000210100200010000200000001"]);

y:=CambridgeMatrix(1,F,27,[
"120000000000000000000000000",
"001000000000000000000000000",
"000100000000000000000000000",
"000001000000000000000000000",
"000000100000000000000000000",
"000000001000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000100000000000",
"000000000000000010000000000",
"000000000000000001000000000",
"022202002000020000000000000",
"000000000000000000010000000",
"000000000000000000001000000",
"000000000000000000000100000",
"000000000000000000000010000",
"120111010110002200010010000",
"000000000000000000000001000",
"000000000000000000000000100",
"000212012000120000002000000",
"000212012000000200000200000",
"000000000000000000000000010",
"000000000000000000000000001",
"010101121102100202221122121",
"000010000000000000000000000"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is O7(3) < GL(27,GF(3))";