/*
www-ATLAS of Group Representations.
2.Ru represented as 28 x 28 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"2000000000000000000000000000",
"0001000000000000000000000000",
"0020000000000000000000000000",
"0000001000000000000000000000",
"0000000100000000000000000000",
"0000200000000000000000000000",
"0000020000000000000000000000",
"0000000000010000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000020000000000000000000",
"0000000000000000001000000000",
"0000000002000000000000000000",
"0000000000000000000010000000",
"0000000000200000000000000000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000002000000000000000",
"7340685467857310446130344046",
"0000000000000020000000000000",
"3535586285022650244068040101",
"8586262601312486124634754847",
"0000000000000000200000000000",
"3506881012276487462110453474",
"0000000000000000020000000000",
"2353840117180644376806205110",
"0000000000000000000000000004"]);

y:=CambridgeMatrix(1,F,28,[
"8800000000000000000000000000",
"0010000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"0810400000000000000000000000",
"0000000010000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0001000000000000000000000000",
"0000000000000000000100000000",
"0000000000000000000001000000",
"0000000000000000000000100000",
"0000000000000000000000001000",
"0000000000000000000000000010",
"0000000000000000000000000001",
"3506628334061702011300106052",
"5642554268885515455718770706",
"0000001000000000000000000000",
"8441580226625033354002748413",
"2073507475860578777704450410",
"0000000100000000000000000000",
"6618686260137656786305318276",
"6006052460817135382204778750",
"4206851128518303846606652565"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.Ru < GL(28,GF(9))";