/*
www-ATLAS of Group Representations.
L2(19) represented as 18 x 18 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,18,[
"010000000000000000",
"100000000000000000",
"000100000000000000",
"001000000000000000",
"000001000000000000",
"000010000000000000",
"000000001000000000",
"000000000100000000",
"000000100000000000",
"000000010000000000",
"000000000000010000",
"000000000000001000",
"442200313143443000",
"000000000010000000",
"000000000001000000",
"423121324413432102",
"323224013213220141",
"444411303004004004"]);

y:=CambridgeMatrix(1,F,18,[
"410000000000000000",
"001000000000000000",
"241000000000000000",
"000010000000000000",
"000000100000000000",
"000000010000000000",
"000100000000000000",
"000000000010000000",
"000000000001000000",
"000000000000100000",
"000001000000000000",
"000000000000000100",
"000000000000000010",
"000000000000000001",
"313341102342234310",
"000000001000000000",
"000000000100000000",
"004311043204044411"]);

G<x,y>:=MatrixGroup<18,F|x,y>;
print "Group G is L2(19) < GL(18,GF(5))";