/*
www-ATLAS of Group Representations.
U3(5):2 represented as 19 x 19 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,19,[
"0100000000000000000",
"1000000000000000000",
"0001000000000000000",
"0010000000000000000",
"0000001000000000000",
"0000000100000000000",
"0000100000000000000",
"0000010000000000000",
"0000000000010000000",
"3223010401000000000",
"0000000000000010000",
"0000000010000000000",
"0000000000000000010",
"0301302312030222140",
"0000000000100000000",
"1224100030412234234",
"4114003144012303412",
"0000000000001000000",
"4243001332400300340"]);

y:=CambridgeMatrix(1,F,19,[
"0010000000000000000",
"0440000000000000000",
"0000100000000000000",
"0000010000000000000",
"1040100000000000000",
"0000000010000000000",
"0000000001000000000",
"0000000000100000000",
"0000000000001000000",
"0000000000000100000",
"0000000000000001000",
"0000000000000000100",
"0001000000000000000",
"0000000000000000001",
"0442034223000200220",
"4203204243034333410",
"4112331441204041233",
"0043012314013202140",
"0000001000000000000"]);

G<x,y>:=MatrixGroup<19,F|x,y>;
print "Group G is U3(5):2 < GL(19,GF(5))";