/*
www-ATLAS of Group Representations.
4a.L3(4):2a represented as 48 x 48 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000001000000000000000000000000000000000",
"010200100000000000100020000000000000000000000000",
"102010000000100000000200000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000010",
"000000000000000000000000100000000000000000000000",
"100120000010201111222001211122112222010020121020",
"000000000000000000000000001000000000000000000000",
"201010012002010220010012112111210200122220121102",
"000000000000000000000000000100000000000000000000",
"222222010210110222011202012010212202120120001221",
"000021002012221201122110000120202000101021000221",
"000000000000000000000000000001000000000000000000",
"211220100000200000100000200000000100000001000000",
"000000000000000000000000000000100000000000000000",
"211210200000001000002000001000000002000000010000",
"000000000000000000000000000000010000000000000000",
"101222111002012200011020012000001222122011022222",
"000000000000000000000000000000001000000000000000",
"021220010201120021202222011220210020200100000212"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"022000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"102010000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000001000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000001",
"202021002002210020221220220012201201101201001220",
"110011110200011100221220121011100102101212022200",
"100021211100122022212200212102112212112100012220",
"000000000001000000000000000000000000000000000000",
"120112101220212111222102220101020001120211000020",
"121110212202212000121102202020100010000202222201",
"110200001222222122212001222120210102200200101002",
"122211210121100002012001222102221220001120111012",
"000000000000010000000000000000000000000000000000",
"112102012112102010222020201121222100120200211111",
"001212001210000121122011100120102101122012122002",
"212102011100222122221000201002220210021201101200",
"000000000000000100000000000000000000000000000000",
"022212120011021202201020002001002111112120112211",
"211111122201010010010212000220222111102201200112"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is 4a.L3(4):2a < GL(48,GF(3))";