/* www-ATLAS of Group Representations. U4(2) represented as 81 x 81 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,81,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000", 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"000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000", "212112201100220020100001101000000020000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000000", 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"000000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000000", "012002000010000002000000000000000000000000000000200000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000", "212121211012020121021010110222002212201122122002211021122100102000022210210200111", "112112101200211020210102122020001011102212120102121221012110222202010012122201012", "000000000000000000000000000000000000000001000000000000000000000000000000000000000", "012012222101100102001010101212020201210222222011122122101000222200002200200220101", "000000000000000000000000000000000000000000100000000000000000000000000000000000000", "211201002020021212222201201120210200012221222220011112010202221221002211122010202", "000000000000000000000000000000002000000000000000000000000000000200000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000", "221102100210111002002201200211211210210212211221001222000201220102022221112010212", "122020021011010012221212000121000212200010020101220122101101011222102202012101110", "000000000000000000000000000000000000000000000001000000000000000000000000000000000", "120022221201100112201002111222120112110110121111210110200100110112022102221000211", "012201220021120120200201100010112200101111011022020001222001112000012000211201011", "000000000000000000000000000000000000000000000000010000000000000000000000000000000", "010002000210112002012210220202220222101012002210022101122201210201012202121022112", "010011220011011002202021021222011112112122110220012010211200012011021101111212210", "000000000000000000000000000000000000000000000000000100000000000000000000000000000", "001120200000001000000110020000000100000000001002000000000000000010000000002001000", "212201200200211221121010021120020120202011200111012122211100021212022212010202000", 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"000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000000", "100200102000010000200000201000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010", "102121110222120220212010021012211100221001101102002102222120011100101211022012210", "000000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000000001000000000000000000000000000000000000000000000000000000000000000000000", "120221221022122110021020210100102122122122110210221221011102200002010121202102122", "202122001100210212201202212122200102120000011210022112120200220111222222010200120", "122020222100011020020010201002211010121100112002000021221221212222121122000201112", "222000211112012220121112000002100111121110212000220012121202002111011121012220020", "121220220102221112121110221202001121101100020201221200012211011121100101020221220", "000101111210101210110001221001211202001121110022120222002120121110022022000002121", "210122122221021200010200000201012110100022112002210102201021000121112012001222010", "110111110211200220200122101220221112012112202200212201100001110210201222020200102", "001202200202122121120201120020220001120210010122201112120010211001021221011000000", "122110011210020120220102002201210200120102212112200022221221001110202022221202001", "000000000000010000000000000000000000000000000000000000000000000000000000000000000", "111101221212000112121021210211100211200201112012012000021102110101200210110022020", "221022022201211022200111020220020211010011211102020001020221122020222112102010011", "000000020002001000000100020001000000000000000002000000000000100000000000000001000", "102020012112100122211221202121001211201201000100101221021022020211201200200020220", "120112020020010001012000120221210000200020111101100101110002201211022120200211012", "000000000000000100000000000000000000000000000000000000000000000000000000000000000", "000120200022002102200010112002210021012010001111022202222011222211221122022220121", "121212000000010012220210112221021021002121101110000020201010000122020011210112201", "200211200111002221220001220021102212111200200101221101112201001121121210021111011", "122212111121222011012212120001100102102221102201000121100110211221012102010212212", "222200120221002022220001002100001101110021112011121111210101002121200111111011100", "000000002211121210102021012220110001000101200101212212111200011020110202011220110"]); G:=MatrixGroup<81,F|x,y>; print "Group G is U4(2) < GL(81,GF(3))";