/*
www-ATLAS of Group Representations.
TD4(2).3 represented as 52 x 52 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,52,[
"0100000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000",
"0000000000000001000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000",
"0000000000000000010000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000",
"0000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000010000000000000000",
"0000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000010000000000",
"0000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000000000000000000010000000",
"0000000000000000000000000010000000000000000000000000",
"0000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000001000000000000000000000",
"2010020012101221221101000000012000021010102100121010",
"0000000000000000000000000000000100000000000000000000",
"2112120021101012020102111210012212111211120220211220",
"1012200220110021210120011211112212122111121120212120",
"0000000000000000000000000000000001000000000000000000",
"2222222121000000002002020001210002010210000022000200",
"2010102100201021221002000211110200102211222100022210",
"0022220101101102122120220112002000121202000000021200",
"0000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000100000000000000",
"0201120220201111020022110101000100022102111200212110",
"0102210022102001221100012000112212100110220010201011"]);

y:=CambridgeMatrix(1,F,52,[
"0122020101111001000020021112002112120112110120221000",
"2221000121010201020010001122210212210220202020122210",
"2001002001221100002210100202222000012021022200112100",
"1122122221212201220201010111122200020000121200120110",
"2222110000102200210200002002021221220012100010100020",
"1121001120210021000221000221111000121011020201121112",
"2221000100112200222111010220102212112120121100120112",
"2000212200222210021010010022012001000120102011201210",
"0111200022012211020021220101222200012010120100120200",
"2011002022202001012211201011011121022002120212120000",
"2200212002221202001121011022111002012212120020000020",
"2012010021220112010100220110021010000121212120001220",
"1101220202111210121122112022020120222120201002200210",
"0022110100000100210201002012021221020012100010100020",
"0221122020212000221221022100210120201001011110022102",
"0021210221110220110100200022011102101022002200010212",
"0100021200012122022121112112121221111210121210211120",
"2022220021020210202212122012100022210101201010201021",
"0112011002201121220000212022120120102001201010022202",
"0021211002220101202120220002110121122010200011101110",
"0112010222112220020101021211222122121110221210101220",
"2111221120210211001000121200211212022222020220220000",
"0110210111000222221001212211112111222020222220121102",
"1012220000211222220102021102012110121222212021011200",
"1202200012021221102121011110121022100000211120022220",
"1110221221011001202122112201002210222211022100211120",
"1002210111101200212002200121101100201201111220011020",
"0021122102021211201002110221101120022100220002212210",
"2011202120010012210120122020122211110022212021120022",
"0201221221000010211000121211200210202212022201210200",
"0122002201120100120220000210121221222212021210121011",
"0200000121200002122102202200102221020200221212212000",
"2211101020021210120201022110221121212010010120121000",
"1212002101221002212210210102220111002111022120101212",
"0220022010102201220111100221121112121100020022222000",
"2002200022200010201101111201212012212100000020210220",
"2202002012112000002211220210012121022121200210010010",
"1001011201202202011222220001011201222101200211002220",
"1111120000220012012112020020022211022110100001102111",
"0112112211112110020002112021212012002202202020221121",
"1200010200200022120111220220100220110121211200212000",
"2212102000020211112022110020000221222211100010220100",
"0220122212112100202120001220102012110110121200120020",
"1010202111011222121010010002022210212002201020221020",
"1210002020211020122021201222202011122222020210010022",
"2120202120100202010121011201020222122211200220012020",
"0100110122211100112020210120202100220220110100010020",
"0220201012010120201010122011021000211100022000020221",
"2221202022221100102222022101012101021222112111222000",
"0000211220012002121211110110201201122220002000122121",
"1020222101002021211222010100102011122111211120120202",
"0222112122010012120122012011222012000021122020022220"]);

G<x,y>:=MatrixGroup<52,F|x,y>;
print "Group G is TD4(2).3 < GL(52,GF(3))";