/*
www-ATLAS of Group Representations.
L3(4) represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000010000000000000000000000000000",
"00100000000000000000000000000000000",
"00000000010000000000000000000000000",
"00010000000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000010000000000000000000000",
"00000100000000000000000000000000000",
"00000000000000100000000000000000000",
"00000001000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000010000000000000000",
"00000000001000000000000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000001000000000000000000000",
"32010444410110020001030000000000000",
"00000000000000000000000000000100000",
"00000000000000010000000000000000000",
"00000000000000000000000000000000100",
"00000000000000001000000000000000000",
"00000000000000000000000000000000001",
"00000000000000000100000000000000000",
"43040433342424123343433022340002401",
"42142312341302223213400212330041134",
"41332420410011044140211134001300402",
"00000000000000000000100000000000000",
"30210233024120401133331020110123224",
"04331031002043112303101224030320342",
"00000000000000000000001000000000000",
"12304044042021123223110344110313332",
"00000000000000000000000010000000000"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000100000000000000000000000000",
"10041001400000000000000000000000000",
"00000000001000000000000000000000000",
"14404401300000000000000000000000000",
"04004400400000000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000010000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000010000000000000000000000000000",
"00000000000000000000000000000000010",
"34430204332232304141302422414403124",
"02300004013201241210203344441104412",
"13423210423313424421442223221011334",
"11002411212333214110111412003430123",
"00000000010000000000000000000000000",
"42043433040141221334300401403132114",
"32442302332313141013424043301200032",
"31202312130000020003000030300000002",
"02241212200232114422034214232312300",
"44443230143240442141241443210133411",
"04044441340200024412130230122344300"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is L3(4) < GL(35,GF(5))";