/*
www-ATLAS of Group Representations.
U3(5):2 represented as 28 x 28 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0000100000000000000000000000",
"0000001000000000000000000000",
"0010000000000000000000000000",
"0000000001000000000000000000",
"0001000000000000000000000000",
"0000000000010000000000000000",
"0000000000001000000000000000",
"0000010000000000000000000000",
"0000000000000010000000000000",
"0000000100000000000000000000",
"0000000010000000000000000000",
"0000000000000000001000000000",
"0000000000100000000000000000",
"0000000000000000000001000000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000000100000000000000",
"0000000000000000000000000001",
"5225552532624614131613060401",
"0000000000000001000000000000",
"3405002460031404653503110202",
"0000000000000000100000000000",
"1636421535024304654603011201",
"0000000000000000010000000000",
"5216631414336344554003020210",
"0000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"0001000000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000010000000000000000000",
"0221110620000000000000000000",
"0000000000100000000000000000",
"6001610010000000000000000000",
"0666660060000000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000000000000000000000001000",
"0000000000000000000000000010",
"5034116666352454122625262030",
"4655352146163230144345155264",
"1161456220146000324215105356",
"0123652431322545525264051122",
"0000001000000000000000000000",
"0152125143105532220120346605",
"2301011224201115244133444563",
"6564055125101555054040002120",
"4265266301610246545350262503",
"6462225242402046300652201402"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is U3(5):2 < GL(28,GF(7))";