/*
www-ATLAS of Group Representations.
2.L3(4) represented as 36 x 36 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"001000000000000000000000000000000000",
"000000000100000000000000000000000000",
"000100000000000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000001000000000000000000000000000000",
"000000000000001000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000000000000100000000000000000",
"000000000010000000000000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000010000000000000000000000",
"320104444101100200010300000000000000",
"000000000000000000000000000001000000",
"000000000000000100000000000000000000",
"000000000000000000000000000000001000",
"000000000000000010000000000000000000",
"431321140042444021221134421143311000",
"000000000000000001000000000000000000",
"433311014124431310004041031442331420",
"200041204343123133342320420421423110",
"100134420411400020204423404222234200",
"000000000000000000001000000000000000",
"124423242204211112340203420041410320",
"214131134103043330341030304033113310",
"000000000000000000000010000000000000",
"243232343332211323124433311422421440",
"240034103200402241013140024331142020",
"431004042212141432002442333420413401"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"100410014000000000000000000000000000",
"000000000010000000000000000000000000",
"144044013000000000000000000000000000",
"040044004000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000010000",
"000000100000000000000000000000000000",
"000000000000000000000000000000000100",
"132032124413342112212301340021242300",
"000000000000000000000000000000000010",
"000000000000000000000000000000000001",
"020100113131021042414214003043241114",
"000000000100000000000000000000000000",
"323141202113222423002400330110433024",
"033331341121421230122232240044023404",
"124110301334333242422213140231122000",
"320412014043222333022222023243222330",
"040032403220043333243204344033021211",
"433330011422023022200001312340330312",
"000000000000100000000000000000000000"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 2.L3(4) < GL(36,GF(5))";