/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 44 x 44 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,44,[
"01000000000000000000000000000000000000000000",
"10000000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000010000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000000000000000100000000000000000000",
"00000000000000000000000001000000000000000000",
"00000000000010000000000000000000000000000000",
"00000000000000000000000000001000000000000000",
"00000000000000100000000000000000000000000000",
"01020010000000000010002000000000000000000000",
"10201000000010000000020000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000000000000000000000000000010000000000",
"00000000000000000100000000000000000000000000",
"00000000000000000000000000000000000100000000",
"00000000000000000000000000000000000001000000",
"00000000000000000001000000000000000000000000",
"00000000000000000000000000000000000000001000",
"00000000000000000000000000000000000000000010",
"10001000022020100211111100000100221211222010",
"00220222222111010121021210111010210011020111",
"00000000000000000000000010000000000000000000",
"00011020212001022221022222012222101210121212",
"00000000000000000000000000100000000000000000",
"21210010122010201110201212111212112120101001",
"00000000000000000000000000010000000000000000",
"21011202101101001212220112112011021100020100",
"12211202011121000001101101111022012222210002",
"00000000000000000000000000000100000000000000",
"21122010000020000010000020000000010000000100",
"00000000000000000000000000000010000000000000",
"21002212000000120001200101100110220012102002"]);

y:=CambridgeMatrix(1,F,44,[
"00100000000000000000000000000000000000000000",
"02200000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"10201000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000010000000000000000000000000000000",
"00000000000000100000000000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000000000000100000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00000000000000000001000000000000000000000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000001000000000000000000000",
"00000000000000000000000010000000000000000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000000000010000000000000000",
"00000000000000000000000000000100000000000000",
"00000000000000000000000000000010000000000000",
"00000010000000000000000000000000000000000000",
"00000000000000000000000000000001000000000000",
"00000000000000000000000000000000100000000000",
"00000001000000000000000000000000000000000000",
"00000000000000000000000000000000001000000000",
"00000000000000000000000000000000000010000000",
"00000000000000000000000000000000000000100000",
"00000000000000000000000000000000000000010000",
"00000000000000000000000000000000000000000100",
"00000000000000000000000000000000000000000001",
"20002000001001121020010120020020111120111210",
"20012221222200002100000211220212112122221022",
"22001102102012101122122210121102012222012121",
"10001020220222001120202201220100110111101100",
"20001120101210022022122101012210021212022022",
"00000000000100000000000000000000000000000000",
"11122020001112221110212001220200222100200221",
"22220121000020022211022000000121011220020200",
"00022222010221201200211120202111212211202211",
"00000222110021221010010111110012220110122111",
"00000000000001000000000000000000000000000000",
"12110022201221111210001002121101201121102210",
"10000011221001221012022012220212022201200102"]);

G<x,y>:=MatrixGroup<44,F|x,y>;
print "Group G is 2.L3(4):2a < GL(44,GF(3))";