/*
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",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000100000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000010000000000000000000000",
"00000000000000000000000000010000000",
"00000000000000100000000000000000000",
"01040010000000000010004000000000000",
"10401000000010000000040000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000100",
"00000000000000000100000000000000000",
"00000000000000000000000000000000001",
"00000000000000000001000000000000000",
"00003033242200342322123142131000023",
"40012223002010330230211033200100203",
"14230430433314400004314420210010010",
"04240003223242030021434320240001222",
"00000000000000000000000010000000000",
"14413111332303321030332130300000343",
"00000000000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"04400000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10401000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000010000100400000000000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000100000",
"00000010000000000000000000000000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000001000000000000000000000000000",
"00000000000000000000000000000000010",
"42300043402322200220120233113203202",
"03414242020013324000233400040411441",
"43230140032242132344203232044320302",
"00000010000100000000400000000000000",
"31322411122130120002320332310132412",
"34022042411320120231032140210230332",
"14402241003243002433333033013022214",
"20001011124012233411320414411234140",
"00131342112411134202122032043442411"]);

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