/*
www-ATLAS of Group Representations.
2L2(19).2i represented as 20 x 20 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00001000000000000000",
"00000100000000000000",
"00100000000000000000",
"00010000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000010000000000000",
"00000001000000000000",
"00000000000001000000",
"00000000000000100000",
"00000000000000001000",
"00000000001000000000",
"00000000000100000000",
"22010101010210221000",
"00000000000010000000",
"21100011022222202201",
"01201212202201212010",
"12102012210000000001"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"20200000000000000000",
"22120000000000000000",
"00000010000000000000",
"00000001000000000000",
"11022020000000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000010000000",
"00000100000000000000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000010",
"00000000000000000001",
"00000000100000000000",
"10202010110112211111",
"00000000010000000000",
"01022210101201100002",
"22212112000102020011"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2L2(19).2i < GL(20,GF(3))";