/*
www-ATLAS of Group Representations.
A11 represented as 45 x 45 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000010000000000000000",
"000010000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000",
"120002011010212220101000200220120000000000000",
"211002220102222202211110102220100000000000000",
"121011021210021112101000100020010000000000000",
"102212210220122020100100100000000000000000000",
"000000100000000000000000000000000000000000000",
"110122002210210120100011200020000000000000000",
"202100111111101120202220101110210000000000000",
"222201121200020121100020111020020000000000000",
"000000010000000000000000000000000000000000000",
"101200100022110000000110200100000000000000000",
"102200100210112002102020201100220000000000000",
"000002221212011020101100200211120000000000000",
"011210102122211002200100202000110000000000000",
"101210120222122222101100102220110000000000000",
"101211100010022022002000101120221000000000000",
"121022121200222200102010102100210100000000000",
"001001200112212000201110201210120010000000000",
"122010222011010100001200201200120001000000000",
"011210001020012110000000201020000000100000000",
"012200002110022211202010101100200000010000000",
"200120110201111111102220201110200000001000000",
"011210010022020021001120102210110000000100000",
"111110200122220121202100100110200000000010000",
"120010102200100202101000000220100000000001000",
"002021000000011111002010202110200000000000100",
"102212212020220102000020102020010000000000010",
"110100211101001122201200001200100000000000001"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"020002200002000000000000000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000000000000000000001000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000001000000000",
"122212011210002110110011200200000200000000000",
"222220222011201120020220100020000100000000000",
"000000000000000000000000000000000000100000000",
"110120200110100210201111212010210000000000000",
"000000000000000000000000000000000000010000000",
"220220122100210022122221101220020100000000000",
"000022200110000210101010010121220000200000000",
"021110211222211100001112002021010000000000000",
"000000000000000000000000000000000000001000000",
"101222221101022001102200212020001002200000000",
"200122000112012210212021101100001200000000000",
"000000000000000000000000000000000000000100000",
"100021201201220201211121220210011112100000000",
"000000000000000000000000000000000000000010000",
"102201002200000021010212212002121202000000000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000010",
"211222000020122000111022212022100200012120200",
"122201202220112022222220200110001002010121220",
"211111200222001200102110011211120020020220200",
"000000000000000000000000000000000000000000001",
"112220011002120112002101101011012020120120111",
"021020220202020021200120220112010202112111111"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is A11 < GL(45,GF(3))";