/*
www-ATLAS of Group Representations.
2.S11 represented as 32 x 32 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00001000000000000000000000000000",
"00000010000000000000000000000000",
"00100000000000000000000000000000",
"00000000010000000000000000000000",
"00010000000000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000100000000000000000000000000",
"00000000000000001000000000000000",
"00000000000000000010000000000000",
"00000001000000000000000000000000",
"00000000000000000000010000000000",
"00000000100000000000000000000000",
"00000000000000000000000010000000",
"00000000001000000000000000000000",
"00000000000000000000000000010000",
"00000000000100000000000000000000",
"00000000000000000000000000000010",
"11111010010120202212102022221211",
"00000000000001000000000000000000",
"21001022002002211000111102001122",
"12022121121102002021210021002201",
"00000000000000010000000000000000",
"12012201222121102101111022210102",
"11100201221221101000222210010112",
"00000000000000000100000000000000",
"22021220212000120120222121001000",
"02012111110100211222100001112111",
"00000000000000000001000000000000",
"02212220101221010110020222121210"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"00010000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000100000000000000000000000",
"00000000001000000000000000000000",
"00000000000100000000000000000000",
"00000000000001000000000000000000",
"02202200200000000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"00000000000000000000000000001000",
"00000000000000000000000000000100",
"00000000000000000000000000000001",
"01122201111001112011221211100201",
"21111002012201111100012022010210",
"20112220211012211200011202221201",
"21012111112212022010211001102021",
"10121010002121110012122010111121",
"02011121111202110020212112122002",
"10221021122211212022211022000221",
"22211212201111011211211222120220",
"20100122011012110021102112112220",
"00220101020101210211112201100102",
"22100110220100010121111000201012",
"20112210222111021100020111212020"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 2.S11 < GL(32,GF(3))";