/*
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,[
"04000000000000000000000000000000000",
"40000000000000000000000000000000000",
"00040000000000000000000000000000000",
"00400000000000000000000000000000000",
"00000040000000000000000000000000000",
"00000004000000000000000000000000000",
"00004000000000000000000000000000000",
"00000400000000000000000000000000000",
"00000000000400000000000000000000000",
"00000000000004000000000000000000000",
"00000000000000040000000000000000000",
"00000000400000000000000000000000000",
"00000000000000000040000000000000000",
"00000000040000000000000000000000000",
"00000000000000000000400000000000000",
"00000000004000000000000000000000000",
"00000000000000000000000400000000000",
"00000000000000000000000004000000000",
"00000000000040000000000000000000000",
"00000000000000000000000000004000000",
"00000000000000400000000000000000000",
"04010040000000000040001000000000000",
"40104000000040000000010000000000000",
"00000000000000004000000000000000000",
"00000000000000000000000000000000040",
"00000000000000000400000000000000000",
"41133200024114241121240131222024420",
"31210333441231301340001033014441033",
"00000000000000000004000000000000000",
"11124421313124214112132332013212241",
"01312421221013210243220330224443440",
"42213304242232244442311412033114144",
"41222032431402024214310300221042012",
"00000000000000000000000040000000000",
"24014021222241333304110100400200033"]);

y:=CambridgeMatrix(1,F,35,[
"00400000000000000000000000000000000",
"01100000000000000000000000000000000",
"00004000000000000000000000000000000",
"00000400000000000000000000000000000",
"40104000000000000000000000000000000",
"00000000400000000000000000000000000",
"00000000040000000000000000000000000",
"00000000004000000000000000000000000",
"00000000000040000000000000000000000",
"00000000000000400000000000000000000",
"00000000000000004000000000000000000",
"00000000000000000400000000000000000",
"00040000000000000000000000000000000",
"00000000000000000004000000000000000",
"00000000000000000000040000000000000",
"00000000000000000000004000000000000",
"00000000000000000000000040000000000",
"00000000000000000000000000400000000",
"00000000000000000000000000040000000",
"00000000000000000000000000000400000",
"00000000000000000000000000000040000",
"00000040000000000000000000000000000",
"00000000000000000000000000000004000",
"00000000000000000000000000000000400",
"00000004000000000000000000000000000",
"32200424131423203421221321040001310",
"00000000000000000000000000000000004",
"33211410010433343244322142120304111",
"44034044213440113031440331034340344",
"20444233144133202304010010400200002",
"12240403012020000011341233314244223",
"03420023112122013322124220112241233",
"32102000440103110014232332320202432",
"02131101013231042043434420003013433",
"00000000000400000000000000000000000"]);

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