/*
www-ATLAS of Group Representations.
4b.L3(4) represented as 32 x 32 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00010000000000000000000000000000",
"00100000000000000000000000000000",
"00000010000000000000000000000000",
"00000001000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000000000100000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000100000000000000000000000",
"00000000000000000010000000000000",
"00000000010000000000000000000000",
"00000000000000000000100000000000",
"00000000001000000000000000000000",
"00000000000000000000010000000000",
"00000000000000000000000100000000",
"00000000000010000000000000000000",
"00000000000000000000000001000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000000000000000000000000000100",
"00000000000000000100000000000000",
"00000000000000000000000000000010",
"00000000000000000001000000000000",
"01221100211111220120012121102211",
"01011001020010200120011111012021",
"21101120100112202102110121010112",
"00000000000000000000001000000000",
"00000000000000000000000010000000",
"10020012110110001201202220011011"]);

y:=CambridgeMatrix(1,F,32,[
"12000000000000000000000000000000",
"00100000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"02202000000000000000000000000000",
"00000000100000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000000000000000100000000000000",
"00010000000000000000000000000000",
"00000000000000000001000000000000",
"00010000000020010000000000000000",
"00010210000000000000000000000000",
"00000000000000000000001000000000",
"12202000100000100000200000000000",
"00000000000000000000000010000000",
"00000000000000000000000000100000",
"00000000000000000000000000010000",
"00000000000000000000000000001000",
"00000001000000000000000000000000",
"01010012222020011002222020221000",
"00000000000000000000000000000001",
"10012112120021212010221202111112",
"20122022000000021022020120000011",
"12010010000200000000000000000000",
"11100202122201222201201201112102",
"12221021211122100122200021022212",
"21112111021221212001202101020101",
"22122220101120110000211222220200"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 4b.L3(4) < GL(32,GF(3))";