/*
www-ATLAS of Group Representations.
L3(4):2a represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000100000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000010000000000000000000000",
"00000000000000000000000000001000000",
"00000000000000100000000000000000000",
"01040010000000000010004000000000000",
"10401000000010000000040000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000100000000000000000",
"02321433220243412412330032312140204",
"34012110032323311311102400030332010",
"00000000000000000001000000000000000",
"33244341213043112344221421333010110",
"44402330302002131130414324023010412",
"22404223104324242220342311313302032",
"33414143121324131203312332112434041",
"00000000000000000000000010000000000",
"03233330421233030324320301342410322"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"04400000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10401000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000010000000000000000000000000000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000100",
"00000001000000000000000000000000000",
"00000000000000000000000000000000001",
"31011124303101434423340113201334301",
"22212320202420004001123130231443111",
"30030301234334233230030110021230024",
"20412134132421421424030413122444332",
"04001304011104002311412024224022341",
"20244432003011022040202400344431441",
"02213031041312112322304431114202111",
"42002430120443031133404432412121224",
"11333120312214043422031200301034130"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is L3(4):2a < GL(35,GF(5))";