/*
www-ATLAS of Group Representations.
A10 represented as 41 x 41 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,41,[
"01000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000",
"00000100000000000000000000000000000000000",
"10000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000",
"00000000001000000000000000000000000000000",
"00000000000010000000000000000000000000000",
"00000000000000100000000000000000000000000",
"00000000000000001000000000000000000000000",
"00000000000000000010000000000000000000000",
"00100000000000000000000000000000000000000",
"00000000000000000000010000000000000000000",
"00000000000000000000001000000000000000000",
"00000000000000000000000010000000000000000",
"00000000000000000000000000100000000000000",
"00000000000000000000000000001000000000000",
"00001000000000000000000000000000000000000",
"00000000000000000000000000000001000000000",
"00000000000000000000000000000000010000000",
"00000000000000000000000000000000000100000",
"00000000000000000000000000000000000001000",
"00000000000000000000000000000000000000010",
"00000010000000000000000000000000000000000",
"22222020120111101101210020000200020111221",
"21001110210111021102110000112021120111101",
"01222000201000221220102001010202010000222",
"00000001000000000000000000000000000000000",
"00211002120221012020122012100012021120000",
"22212121210010200202122010010022001020122",
"21121001121220210122201100112020120020100",
"10120001222021011001220000001210102201202",
"00112221022022211022011201211012122201000",
"20012200111201202212121222021000211112020",
"00000000010000000000000000000000000000000",
"00002111011221222220010101222012222010212",
"20111002110012122021101021201110201220012",
"00120201102011111020102201201110010022022",
"12102221110220210122012111021221200222202",
"12220110100121001110012110001210101202021",
"00000000000100000000000000000000000000000",
"02102100002210012122222121222222200220100"]);

y:=CambridgeMatrix(1,F,41,[
"00100000000000000000000000000000000000000",
"00001000000000000000000000000000000000000",
"00000010000000000000000000000000000000000",
"00000001000000000000000000000000000000000",
"00000000010000000000000000000000000000000",
"00000000000100000000000000000000000000000",
"00000000000001000000000000000000000000000",
"00000000000000010000000000000000000000000",
"00000000000000000100000000000000000000000",
"00000000000000000001000000000000000000000",
"00000000000000000000100000000000000000000",
"02200220000200000000000000000000000000000",
"00000000000000000000000100000000000000000",
"00000000000000000000000001000000000000000",
"00000000000000000000000000010000000000000",
"00000000000000000000000000000100000000000",
"00000000000000000000000000000010000000000",
"00000000000000000000000000000000100000000",
"00000000000000000000000000000000001000000",
"00000000000000000000000000000000000010000",
"00000000000000000000000000000000000000100",
"00000000000000000000000000000000000000001",
"20110010020201021012221120212211021222220",
"01200201222111010021121011011020200211000",
"22020122000201120210102112221211111202000",
"10110221202022020212120222111110001011200",
"22211202002200110101120110212111120001110",
"11221122111201111122101211221220000121100",
"01100200122202101101111222012221210220220",
"02001102102110212220120001222101112012020",
"02222120002111100112001220200110020221121",
"20122222101002210112222201112111120120000",
"02010110120201011220100222121110100210222",
"21101102012200001100212220002110112202012",
"01121212200012222102101100120000201021110",
"21021011001211200002111021011110100111211",
"01112021101212222200112202011020011002001",
"02011021112100122012201221022011202122100",
"12001212220222012102111020011112011021011",
"20000202101101010222222122012221220122221",
"20002221111100020101121001012210221221220"]);

G<x,y>:=MatrixGroup<41,F|x,y>;
print "Group G is A10 < GL(41,GF(3))";