/*
www-ATLAS of Group Representations.
L3(7) represented as 57 x 57 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,57,[
"010112201211110010200112210200022000211101010211000221102",
"112210101220212212221210121221202120221210011102110102000",
"220210102200022102112020021201200002220012020010111200111",
"022012011211110210221111112212012221222220220122000112200",
"021212201020011110021201222210022112111220010202020212202",
"220012020021220201220112211020121200220220222002120200200",
"120022210110220221001202212112200210111221122111112002022",
"112112221110222110112000112102111020110212011110000222221",
"022011222210221010112021200102021102101201212110222221211",
"121101200221111221002100112020021211111210200012121212120",
"210122200100011210220202110010100111210200101102112101010",
"022211100101112002201111101100110100021222212221121011102",
"210212212000010012112122002001122102100222121111220100021",
"212202110212021202222001120211022221000012021222211112022",
"221002210001122112022222112120001001201112211200122021202",
"000221001121211210002111220000010102121022221020111002211",
"120112022220202121101100200210012121101000220100122111202",
"110121222020011222001020201200000220101201001010021201210",
"221100111122012120121111112002112222012020021110102221220",
"212200221200201022101110120020122000101121112100212221012",
"201010220011210210110102201211122220100201022110211012202",
"200221022212222221020112011002102021120100112010122122012",
"100020002011201122221000012120101111110110022020211010000",
"122222200002201112021112012110222001111222112000020210112",
"012001201211020112011001110012102002121011022102022211010",
"022220010020001011101122222122222011110222211112122112121",
"222220000200021222011222111201122210012010100202021002011",
"210000122121002200122102121012120200201001120222122212120",
"102221201121210222100210112111010011201222002220111202122",
"110102101210010111122122021001101101000022202222022210102",
"121110120201100202200021022220002201022200011022111012210",
"122122002020121120010200101012201201002022011210000202002",
"102121101112022120000021021012022021202210021212100002212",
"221002102000200211101012001102010001122212221102020121001",
"021111011011020100000110020221111112211101112212222110222",
"202010022001112022020220221121121112000021000202110202002",
"010201101010221222121212212122002000111120002112021110101",
"010121212022010122212221100212022200221101102000012101100",
"111002212212010110012221112221211200211100000000202020101",
"202022021222121011102110220112002112022011002002002212002",
"110111201121100122201102000110112212010021020120001221010",
"201021020100100211000020101012021001121020001111222101011",
"102221201220011201100201021200112020210120021101021210012",
"012111101200000012121121200000112111221020222210120220202",
"112100121210200210000201002212010222022001102011001002221",
"001020121022121011020111122212200011220221120220220220212",
"020201120102201001202101001012010222020102110010211021110",
"120010201122002201120111100102220002012201121122000022100",
"022221110220220121111021220012202002102202012200211221020",
"221101001112200220210111220200222211002112211222212100021",
"020220210012110100100012001002020201110120110021022201020",
"021220110221020111221222202111221022010002222011120102120",
"200110001110221221102010121110220102020201021212212210102",
"010120121200220021011022002120211112220011000200020021012",
"222001022011010100000121121022112221202120202211211022010",
"211000101111112121212101221121101100022121221200002011220",
"200120011222220201012122121201100102202011111101002120222"]);

y:=CambridgeMatrix(1,F,57,[
"212012022221100222001011211201101222002020211101220101002",
"001100120212101001000022111210222020102212120211010111000",
"120012210011211210121110100220010112110200001101022120202",
"122222212212001211020121010222001111101110121020202221011",
"022112022122021101200002001002001111111220012120100122211",
"020211012211010120000112021222200210220021000010120210002",
"011111002210101222112021120012010211000122222120010020111",
"001212110121222102002210112112122011120221221120101211012",
"020202011222122012212022012022001201111010122102000020120",
"000221012020012111102000022020122121112212212121111021102",
"012010010101020011012022112120121020022210000020200011210",
"012202120121210220022202120000220122220211100112212221212",
"021111011110122011122201010011111120021011101002122201111",
"002121220200200101112022101000022021221112020111012120112",
"111202122212211122001022112222010122002122112002112211122",
"120102001111002222220012212220010121220102102222000120221",
"221121001012222121020200201012122212011012011110001010100",
"001011022201002021122100111202110121201121102012112100212",
"211110000012200212200011121002012122000010102220122102202",
"110202001012011202202202101220121222200022212222120020022",
"120001221121210020011200220110100221011222221010112201221",
"022020211201220221122000110110101010121010101212000010220",
"021111122100101102100100211100010011102012022110020220100",
"022102220212202000001212211122000112111222012020111111201",
"110200010212002102102021220220211001201200012120200201110",
"112110012122200002010221020212111001100122011221200200001",
"212221102000010002020212022102000210220201001002102220110",
"212222020202102112011120101020020211202021012012022120100",
"100010120212012222111210110001020022221102001121021100020",
"222202110012222200002021121000120110110201220001120122000",
"120221200000121221202021122210020101111100111122201012201",
"200010211020211121222221110222200222022001121010221221000",
"121111212212020010020111002100102210012010021001211121111",
"110220221220221202100022001210100001200011002202112112202",
"012110212112202002012200020211000210200011212220110212022",
"020021120211022110012110221220020122101121122212111111111",
"112112200100000200222201020120211121112210102212210001112",
"110101020122022210110111002112120110111100222001102112212",
"211222102012200201001101121222120010001122011210220222222",
"101021120222112112120111111022212121211022011101101102210",
"200210022020112102120101010120102120121111101000220012200",
"120011112100212210002210111200022220122111012111000012112",
"102202121111001002200012010220210101122011121120111101202",
"020110002121201202101010202001210001120001012112112000200",
"000201212022101102220000120221212011212100221101010222101",
"012121120110102112012211011102010020202100100210020010220",
"201222010022211002100010021202120100202011210011220221021",
"202000211110021001011221010111010022011020120112002011102",
"220222002210202120201020021002011210012202200220222200000",
"021110121010121011210022001102211012011101120120002210101",
"121001112101122200222022102022000122121202122220022210220",
"021220010011120100220211110202222001011001221220010001220",
"202100112101111100000000211120000120102020111101221020212",
"111220010211110001202210102010220121120021012111122201000",
"202222200122212012202111111000110001111222222110001112120",
"000110202021211212000022020100102021100022221020021212101",
"222102202221211002002020010000002221111111011020111002021"]);

G<x,y>:=MatrixGroup<57,F|x,y>;
print "Group G is L3(7) < GL(57,GF(3))";