/*
www-ATLAS of Group Representations.
U5(3) represented as 51 x 51 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,51,[
"010000000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000000",
"001000000000000000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000000",
"000000000000000000000100000000000000000000000000000",
"000000000000000000000001000000000000000000000000000",
"000000000000000000000000010000000000000000000000000",
"000000000000000000000000000100000000000000000000000",
"000010000000000000000000000000000000000000000000000",
"000000000000000000000000000000100000000000000000000",
"000000000000000000000000000000001000000000000000000",
"000000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000000100000000000000",
"000000100000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000100000000000",
"001001200212220000202202000000002000200000000000000",
"000000000000000000000000000000000000000000100000000",
"000000010000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000001000000",
"111101010110001200100000010200001000000000000000000",
"000000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000000010",
"001001010110001002100000010000201000000000000000000",
"111221220022020002100221011210120001212222112122221",
"000000000100000000000000000000000000000000000000000",
"011210200020202121111120001200102211011200102100101",
"110120122201102020221100020000002020100000000000000",
"202221122010122221020200202102010201100022011221100",
"000000000001000000000000000000000000000000000000000",
"121212021121202010202001211002220110210011222112220",
"000210001022201000001222220211021012021011220110102",
"221201220012202000002220020000000000200200000000000",
"220000011111110122120101112222011112222202011122002",
"000002022012221111201101100220201000000001200001000",
"111111001212000010202000200000002000200000200000000",
"212202002012122201020210202020121110201211001212210",
"000010221002202010002200022000000000200000002000000",
"002102002201212220021010210212010001110022010021201",
"002221111021210212022112210222022100002211120021220",
"110120002000000020000000000020000000000000000002000",
"110211011000200221012111000222012220002222110120200",
"221221002212000020202000000002002000200000000000020",
"221111200002201212020012222020121022120111221112110"]);

y:=CambridgeMatrix(1,F,51,[
"001000000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000000",
"000000000000000001000000000000000000000000000000000",
"222001200102010000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000000",
"022002200002000000000000000000000000000000000000000",
"000000000000000000000010000000000000000000000000000",
"000000000000000000000000100000000000000000000000000",
"000000000000000000000000001000000000000000000000000",
"000000000000000000000000000010000000000000000000000",
"000000000000000000000000000001000000000000000000000",
"000000000000000000000000000000010000000000000000000",
"000000000000000000000000000000000100000000000000000",
"000000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000001000000000",
"100000000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000000100",
"111002000120212101100021022202000122212002021001000",
"000000000000000000000000000000000000000000000000001",
"122210012111011011110012002101222001001211021110200",
"112100202122020002202101211021210010010002200001010",
"120201210021110022102220222101220212020102021112222",
"121121021022122001020111202211021120210010122220121",
"100120001110010010100020200000001200000000000020000",
"000120211022010221100202000211111001111111020001102",
"121221100021220222211011021022112000021200112021122",
"011002021122112012112212020022100012201220000100010",
"111020221102110002121000012200111210122012222102110",
"210012201122102210011010102201121000211011122202122",
"022221100002221021001011001220222222222001012021002",
"000000000121222010021122200112020111022112201001022",
"211200102212101020121000211002221202220101012102020",
"210220210111200021221100011101222201200212221101221",
"202000002120021002020220222201212021112020122222220",
"202022010221212010021220022100110220112111100001111",
"000110102002020102022211121121002020221101112010201",
"000100000000000000000000000000000000000000000000000",
"020221201120111011100122011011002201022120202110222",
"021201110011010010100101200112010212011110220112000"]);

G<x,y>:=MatrixGroup<51,F|x,y>;
print "Group G is U5(3) < GL(51,GF(3))";