/*
www-ATLAS of Group Representations.
L2(19) represented as 20 x 20 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000100000000000000",
"00001000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000010000000000000",
"00000001000000000000",
"00000000000001000000",
"00000000000000100000",
"00000000000000001000",
"00000000001000000000",
"00000000000100000000",
"00000000000000000001",
"00000000000010000000",
"22410122231211120022",
"44232041442202442304",
"00000000000000010000"]);

y:=CambridgeMatrix(1,F,20,[
"10000000000000000000",
"00100000000000000000",
"44400000000000000000",
"00001000000000000000",
"00000010000000000000",
"00000001000000000000",
"00010000000000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000010000000",
"00000100000000000000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000010",
"31330424202001130040",
"00000000100000000000",
"23330320402414021410",
"00000000010000000000",
"32301002222000240043",
"41132003342113010021"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L2(19) < GL(20,GF(5))";